Quotient of sum of exps

Time bar (total: 10.0s)

analyze5.0ms (0.1%)

Memory
6.3MiB live, 6.3MiB 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)

sample976.0ms (9.8%)

Memory
22.8MiB live, 1 624.5MiB allocated
Samples
468.0ms8 256×0valid
167.0ms3 000×0exit
Precisions
Click to see histograms. Total time spent on operations: 367.0ms
ival-exp: 174.0ms (47.4% of total)
ival-div: 121.0ms (32.9% of total)
ival-add: 59.0ms (16.1% of total)
ival-true: 9.0ms (2.4% of total)
ival-assert: 4.0ms (1.1% of total)
Bogosity

preprocess263.0ms (2.6%)

Memory
11.5MiB live, 50.9MiB 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)))

explain306.0ms (3.1%)

Memory
-194.1MiB live, 134.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (exp.f64 a) (exp.f64 b))
00-0-a
00-0-(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
00-0-(exp.f64 b)
00-0-b
00-0-(exp.f64 a)
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
260.0ms512×0valid
Compiler

Compiled 62 to 28 computations (54.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-exp: 12.0ms (66.2% of total)
ival-div: 3.0ms (16.5% of total)
ival-add: 3.0ms (16.5% 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
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify3.0ms (0%)

Memory
6.8MiB live, 6.8MiB 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

localize22.0ms (0.2%)

Memory
0.3MiB live, 38.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 b)
✓accuracy100.0%
(exp.f64 a)
✓accuracy100.0%
(+.f64 (exp.f64 a) (exp.f64 b))
✓accuracy99.9%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Samples
13.0ms256×0valid
Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-exp: 4.0ms (57.7% of total)
ival-div: 2.0ms (28.9% of total)
ival-add: 1.0ms (14.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
-27.0MiB live, 10.9MiB allocated
Counts
4 → 72
Calls
Call 1
Inputs
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (exp a)>
#<alt (+ (exp a) (exp b))>
#<alt (exp b)>
Outputs
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 3))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (+ (* a (- (+ (* 1/2 (/ 1 (+ 1 (exp b)))) (+ (* a (- (+ (* 1/6 (/ 1 (+ 1 (exp b)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 3)))) (+ (* 1/6 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ 1 (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 4))))))) (/ 1 (pow (+ 1 (exp b)) 3)))) (* 3/2 (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ 1 (exp a)))>
#<alt (+ (* -1 (/ (* b (exp a)) (pow (+ 1 (exp a)) 2))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))>
#<alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))) (+ 1 (exp a)))) (+ (* -1/2 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/6 (/ (exp a) (pow (+ 1 (exp a)) 2))))))) (+ (* -1 (/ (exp a) (pow (+ 1 (exp a)) 3))) (* 1/2 (/ (exp a) (pow (+ 1 (exp a)) 2)))))) (/ (exp a) (pow (+ 1 (exp a)) 2)))) (/ (exp a) (+ 1 (exp a))))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt (/ (exp a) (+ (exp a) (exp b)))>
#<alt 1>
#<alt (+ 1 a)>
#<alt (+ 1 (* a (+ 1 (* 1/2 a))))>
#<alt (+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (exp a)>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (+ a (exp b)))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))>
#<alt (+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ 1 (exp a))>
#<alt (+ 1 (+ b (exp a)))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))>
#<alt (+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt (+ (exp a) (exp b))>
#<alt 1>
#<alt (+ 1 b)>
#<alt (+ 1 (* b (+ 1 (* 1/2 b))))>
#<alt (+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
#<alt (exp b)>
Calls

18 calls:

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

rewrite293.0ms (2.9%)

Memory
22.6MiB live, 484.3MiB 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))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (+.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))) (exp.f64 (+.f64 a b)))) (*.f64 (exp.f64 a) (-.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (pow.f64 (-.f64 (exp.f64 (+.f64 b b)) (exp.f64 (+.f64 a b))) #s(literal 2 binary64))))))
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(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 a #s(literal 4 binary64))) (exp.f64 (*.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))) (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))))
(/.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (pow.f64 (neg.f64 (neg.f64 (exp.f64 b))) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (*.f64 (neg.f64 (neg.f64 (exp.f64 b))) (neg.f64 (neg.f64 (exp.f64 b)))) (*.f64 (exp.f64 a) (neg.f64 (neg.f64 (exp.f64 b)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b)))) (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))) (*.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 a) (exp.f64 b))))))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (neg.f64 (exp.f64 b))) #s(literal 3 binary64)) (exp.f64 (*.f64 a #s(literal 3 binary64)))) (fma.f64 (neg.f64 (neg.f64 (exp.f64 b))) (neg.f64 (neg.f64 (exp.f64 b))) (-.f64 (exp.f64 (+.f64 a a)) (*.f64 (neg.f64 (neg.f64 (exp.f64 b))) (exp.f64 a)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 (neg.f64 (exp.f64 a)) (exp.f64 b))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 b) (exp.f64 a))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 b) (exp.f64 a))) (fma.f64 (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 b) (exp.f64 a))) (*.f64 (/.f64 (exp.f64 (+.f64 b b)) (-.f64 (exp.f64 b) (exp.f64 a))) (/.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 b) (exp.f64 a)))))))
(pow.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (exp.f64 a) (exp.f64 b))))
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (+.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))) (exp.f64 (*.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 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))

simplify473.0ms (4.8%)

Memory
39.1MiB live, 631.3MiB 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)

eval68.0ms (0.7%)

Memory
-31.8MiB live, 98.0MiB allocated
Compiler

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

prune53.0ms (0.5%)

Memory
-8.5MiB live, 112.1MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New4049413
Fresh000
Picked101
Done000
Total4059414
Accuracy
100.0%
Counts
414 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.0%
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))))) (+.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (+.f64 a a)) (*.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 a)))))) (+.f64 (exp.f64 a) (exp.f64 b)))
▶43.5%
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))
81.6%
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (exp.f64 a) (exp.f64 b)))
▶68.2%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
98.4%
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
▶81.3%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
▶99.9%
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
66.2%
(*.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))))
▶100.0%
(exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a))
Compiler

Compiled 258 to 174 computations (32.6% saved)

simplify256.0ms (2.6%)

Memory
36.5MiB live, 387.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 a a)
✓cost-diff0
(exp.f64 (+.f64 a a))
✓cost-diff0
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))
✓cost-diff19968
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b 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)))
✓cost-diff0
(+.f64 (exp.f64 a) #s(literal 1 binary64))
✓cost-diff0
(exp.f64 a)
✓cost-diff0
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
✓cost-diff0
(exp.f64 b)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓cost-diff0
(+.f64 (exp.f64 a) (exp.f64 b))
✓cost-diff0
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
✓cost-diff192
(fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a)
✓cost-diff18496
(exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a))
Rules
8 850×accelerator-lowering-fma.f32
8 850×accelerator-lowering-fma.f64
3 134×*-lowering-*.f32
3 134×*-lowering-*.f64
1 948×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
028157
157152
2112143
3215142
4601142
52303142
66013142
08383142
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(exp (+ (* (log (+ (exp a) (exp b))) -1) a))
(+ (* (log (+ (exp a) (exp b))) -1) a)
(log (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(exp a)
a
(exp b)
b
-1
(/ 1 (+ 1 (exp b)))
1
(+ 1 (exp b))
(exp b)
b
(/ (exp a) (+ (exp a) 1))
(exp a)
a
(+ (exp a) 1)
1
(/ 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)
(/ (- (exp (+ a a)) (exp (+ a b))) (- (exp (+ a a)) (exp (+ b b))))
(- (exp (+ a a)) (exp (+ a b)))
(exp (+ a a))
(+ a a)
a
(exp (+ a b))
(+ a b)
b
(- (exp (+ a a)) (exp (+ b b)))
(exp (+ b b))
(+ b b)
Outputs
(exp (+ (* (log (+ (exp a) (exp b))) -1) a))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(+ (* (log (+ (exp a) (exp b))) -1) a)
(-.f64 a (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))))
(log (+ (exp a) (exp b)))
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
(+ (exp a) (exp b))
(+.f64 (exp.f64 a) (exp.f64 b))
(exp a)
(exp.f64 a)
a
(exp b)
(exp.f64 b)
b
-1
#s(literal -1 binary64)
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (exp b))
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(exp b)
(exp.f64 b)
b
(/ (exp a) (+ (exp a) 1))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(exp a)
(exp.f64 a)
a
(+ (exp a) 1)
(+.f64 (exp.f64 a) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(/ 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)
(/ (- (exp (+ a a)) (exp (+ a b))) (- (exp (+ a a)) (exp (+ b b))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(- (exp (+ a a)) (exp (+ a b)))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))
(exp (+ a a))
(exp.f64 (+.f64 a a))
(+ a a)
(+.f64 a a)
a
(exp (+ a b))
(exp.f64 (+.f64 a b))
(+ a b)
(+.f64 a b)
b
(- (exp (+ a a)) (exp (+ b b)))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))
(exp (+ b b))
(exp.f64 (+.f64 b b))
(+ b b)
(+.f64 b b)

localize210.0ms (2.1%)

Memory
-17.3MiB live, 259.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 (+.f64 a b))
✓accuracy100.0%
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))
✓accuracy68.2%
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))
✓accuracy68.1%
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))
✓accuracy100.0%
(exp.f64 a)
✓accuracy100.0%
(+.f64 (exp.f64 a) (exp.f64 b))
✓accuracy100.0%
(*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
✓accuracy100.0%
(exp.f64 a)
✓accuracy100.0%
(+.f64 (exp.f64 a) #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
✓accuracy100.0%
(exp.f64 b)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 b))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓accuracy100.0%
(fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a)
✓accuracy100.0%
(+.f64 (exp.f64 a) (exp.f64 b))
✓accuracy100.0%
(exp.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a))
✓accuracy69.2%
(log.f64 (+.f64 (exp.f64 a) (exp.f64 b)))
Samples
63.0ms118×1valid
38.0ms47×2valid
25.0ms3×3valid
15.0ms12×5exit
14.0ms61×0exit
3.0ms15×0valid
Compiler

Compiled 165 to 30 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 105.0ms
ival-exp: 36.0ms (34.4% of total)
ival-log: 19.0ms (18.2% of total)
ival-add: 13.0ms (12.4% of total)
adjust: 12.0ms (11.5% of total)
ival-div: 11.0ms (10.5% of total)
ival-mult: 8.0ms (7.7% of total)
ival-sub: 4.0ms (3.8% of total)
ival-neg: 1.0ms (1% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series142.0ms (1.4%)

Memory
31.9MiB live, 259.7MiB allocated
Counts
18 → 336
Calls
Call 1
Inputs
#<alt (exp (+ (* (log (+ (exp a) (exp b))) -1) a))>
#<alt (+ (* (log (+ (exp a) (exp b))) -1) a)>
#<alt (log (+ (exp a) (exp b)))>
#<alt (+ (exp a) (exp b))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ 1 (exp b))>
#<alt (exp b)>
#<alt (/ (exp a) (+ (exp a) 1))>
#<alt (exp a)>
#<alt (+ (exp a) 1)>
#<alt (* (+ (exp a) (exp b)) (exp (neg a)))>
#<alt (/ 1 (* (+ (exp a) (exp b)) (exp (neg a))))>
#<alt (/ (- (exp (+ a a)) (exp (+ a b))) (- (exp (+ a a)) (exp (+ b b))))>
#<alt (- (exp (+ a a)) (exp (+ a b)))>
#<alt (exp (+ a a))>
#<alt (+ a a)>
#<alt (- (exp (+ a a)) (exp (+ b b)))>
#<alt (exp (+ a b))>
Outputs
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ (/ 1 (+ 1 (exp b))) (/ (* a (- 1 (/ 1 (+ 1 (exp b))))) (+ 1 (exp b))))>
#<alt (+ (* a (- (+ (/ 1 (+ 1 (exp b))) (/ (* a (+ (* -1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (* 1/2 (pow (- 1 (/ 1 (+ 1 (exp b)))) 2)))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (+ (* a (+ (* -1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (+ (* 1/2 (/ (pow (- 1 (/ 1 (+ 1 (exp b)))) 2) (+ 1 (exp b)))) (/ (* a (+ (* -1/2 (* (- 1 (/ 1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (+ (* -1/6 (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2))))) (* 1/6 (pow (- 1 (/ 1 (+ 1 (exp b)))) 3))))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))>
#<alt (exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))>
#<alt (exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))>
#<alt (exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))>
#<alt (exp (+ a (* -1 (log (+ 1 (exp a))))))>
#<alt (+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* -1 (/ (* b (exp (+ a (* -1 (log (+ 1 (exp a))))))) (+ 1 (exp a)))))>
#<alt (+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* b (+ (* -1 (/ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ 1 (exp a)))) (* b (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))))))>
#<alt (+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* b (+ (* -1 (/ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ 1 (exp a)))) (* b (+ (* b (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (- (+ (* -1/6 (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2))))) (* 1/2 (/ (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))) (+ 1 (exp a))))) (* 1/6 (/ 1 (pow (+ 1 (exp a)) 3)))))) (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (exp (+ a (* -1 (log (+ (exp a) (exp b))))))>
#<alt (* -1 (log (+ 1 (exp b))))>
#<alt (+ (* -1 (log (+ 1 (exp b)))) (* a (- 1 (/ 1 (+ 1 (exp b))))))>
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#<alt (+ (exp b) (* a (exp b)))>
#<alt (+ (exp b) (* a (+ (exp b) (* 1/2 (* a (exp b))))))>
#<alt (+ (exp b) (* a (+ (exp b) (* a (+ (* 1/6 (* a (exp b))) (* 1/2 (exp b)))))))>
#<alt (exp (+ a b))>
#<alt (exp (+ a b))>
#<alt (exp (+ a b))>
#<alt (exp (+ a b))>
#<alt (exp (- b (* -1 a)))>
#<alt (exp (- b (* -1 a)))>
#<alt (exp (- b (* -1 a)))>
#<alt (exp (- b (* -1 a)))>
#<alt (exp a)>
#<alt (+ (exp a) (* b (exp a)))>
#<alt (+ (exp a) (* b (+ (exp a) (* 1/2 (* b (exp a))))))>
#<alt (+ (exp a) (* b (+ (exp a) (* b (+ (* 1/6 (* b (exp a))) (* 1/2 (exp a)))))))>
#<alt (exp (+ a b))>
#<alt (exp (+ a b))>
#<alt (exp (+ a b))>
#<alt (exp (+ a b))>
#<alt (exp (- a (* -1 b)))>
#<alt (exp (- a (* -1 b)))>
#<alt (exp (- a (* -1 b)))>
#<alt (exp (- a (* -1 b)))>
Calls

84 calls:

TimeVariablePointExpression
32.0ms
b
@inf
(exp (+ (* (log (+ (exp a) (exp b))) -1) a))
31.0ms
a
@-inf
(log (+ (exp a) (exp b)))
26.0ms
b
@-inf
(exp (+ (* (log (+ (exp a) (exp b))) -1) a))
17.0ms
a
@inf
(log (+ (exp a) (exp b)))
4.0ms
a
@0
(/ (exp a) (+ (exp a) 1))

rewrite483.0ms (4.9%)

Memory
8.9MiB live, 872.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 552×accelerator-lowering-fma.f32
5 552×accelerator-lowering-fma.f64
3 472×*-lowering-*.f32
3 472×*-lowering-*.f64
2 966×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
028129
1167121
2143683
01059483
Stop Event
1×iter limit
1×node limit
Counts
18 → 3 474
Calls
Call 1
Inputs
(exp (+ (* (log (+ (exp a) (exp b))) -1) a))
(+ (* (log (+ (exp a) (exp b))) -1) a)
(log (+ (exp a) (exp b)))
(+ (exp a) (exp b))
(/ 1 (+ 1 (exp b)))
(+ 1 (exp b))
(exp b)
(/ (exp a) (+ (exp a) 1))
(exp a)
(+ (exp a) 1)
(* (+ (exp a) (exp b)) (exp (neg a)))
(/ 1 (* (+ (exp a) (exp b)) (exp (neg a))))
(/ (- (exp (+ a a)) (exp (+ a b))) (- (exp (+ a a)) (exp (+ b b))))
(- (exp (+ a a)) (exp (+ a b)))
(exp (+ a a))
(+ a a)
(- (exp (+ a a)) (exp (+ b b)))
(exp (+ a b))
Outputs
(+.f64 (exp.f64 a) (exp.f64 b))
(+.f64 (exp.f64 b) (exp.f64 a))
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))
(+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b (neg.f64 a))))
(+.f64 (exp.f64 (+.f64 a b)) (exp.f64 (+.f64 a a)))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))))
(+.f64 (exp.f64 (+.f64 a a)) (exp.f64 a))
(+.f64 (exp.f64 (+.f64 a a)) (exp.f64 b))
(+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))
(+.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a)))
(+.f64 (exp.f64 (+.f64 (neg.f64 a) b)) #s(literal 1 binary64))
(+.f64 (exp.f64 (+.f64 b (neg.f64 a))) #s(literal 1 binary64))
(exp.f64 (log1p.f64 (exp.f64 (+.f64 (neg.f64 a) b))))
(exp.f64 (+.f64 a (log1p.f64 (exp.f64 (+.f64 (neg.f64 a) b)))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log1p.f64 (exp.f64 (+.f64 (neg.f64 a) b)))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal 3 binary64)))
(exp.f64 (-.f64 (neg.f64 a) (log1p.f64 (exp.f64 (+.f64 (neg.f64 a) b)))))
(exp.f64 (-.f64 (log1p.f64 (exp.f64 (+.f64 (neg.f64 a) b))) (neg.f64 a)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (+.f64 a b))) (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (/.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))) (*.f64 (/.f64 (exp.f64 a) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (exp.f64 (+.f64 a a)) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (/.f64 (exp.f64 (+.f64 a a)) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))) (-.f64 (exp.f64 a) (exp.f64 b))))
(-.f64 (/.f64 (exp.f64 (+.f64 a a)) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))))) (/.f64 (exp.f64 (+.f64 a a)) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64))))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (exp.f64 a)))
(-.f64 (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (exp.f64 b) (-.f64 (exp.f64 a) (exp.f64 b))))
(fma.f64 (exp.f64 a) (exp.f64 a) (exp.f64 a))
(fma.f64 (exp.f64 a) (exp.f64 a) (exp.f64 b))
(fma.f64 (exp.f64 a) (exp.f64 a) (exp.f64 (+.f64 a b)))
(fma.f64 (exp.f64 a) (exp.f64 a) (exp.f64 (+.f64 a a)))
(fma.f64 (exp.f64 a) (exp.f64 b) (exp.f64 (+.f64 a a)))
(fma.f64 (exp.f64 a) #s(literal 1 binary64) (exp.f64 b))
(fma.f64 (exp.f64 a) (exp.f64 (+.f64 a a)) (exp.f64 a))
(fma.f64 (exp.f64 a) (exp.f64 (+.f64 a a)) (exp.f64 b))
(fma.f64 (exp.f64 a) (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))
(fma.f64 (exp.f64 a) (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a)))
(fma.f64 (exp.f64 a) (exp.f64 (+.f64 a (+.f64 a b))) (exp.f64 a))
(fma.f64 (exp.f64 a) (exp.f64 (+.f64 a (+.f64 a b))) (exp.f64 b))
(fma.f64 (exp.f64 a) (exp.f64 (+.f64 a (+.f64 a b))) (exp.f64 (+.f64 a b)))
(fma.f64 (exp.f64 a) (exp.f64 (+.f64 a (+.f64 a b))) (exp.f64 (+.f64 a a)))
(fma.f64 (exp.f64 a) (exp.f64 (+.f64 b (+.f64 a b))) (exp.f64 a))
(fma.f64 (exp.f64 a) (exp.f64 (+.f64 b (+.f64 a b))) (exp.f64 b))
(fma.f64 (exp.f64 a) (exp.f64 (+.f64 b (+.f64 a b))) (exp.f64 (+.f64 a b)))
(fma.f64 (exp.f64 a) (exp.f64 (+.f64 b (+.f64 a b))) (exp.f64 (+.f64 a a)))
(fma.f64 (exp.f64 a) (/.f64 (exp.f64 b) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (exp.f64 a) (/.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (exp.f64 b) (exp.f64 a) (exp.f64 (+.f64 a a)))
(fma.f64 (exp.f64 b) (exp.f64 b) (exp.f64 a))
(fma.f64 (exp.f64 b) (exp.f64 b) (exp.f64 b))
(fma.f64 (exp.f64 b) (exp.f64 b) (exp.f64 (+.f64 a b)))
(fma.f64 (exp.f64 b) (exp.f64 b) (exp.f64 (+.f64 a a)))
(fma.f64 (exp.f64 b) #s(literal 1 binary64) (exp.f64 a))
(fma.f64 (exp.f64 b) (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(fma.f64 (exp.f64 b) (exp.f64 (+.f64 a a)) (exp.f64 a))
(fma.f64 (exp.f64 b) (exp.f64 (+.f64 a a)) (exp.f64 b))
(fma.f64 (exp.f64 b) (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))
(fma.f64 (exp.f64 b) (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a)))
(fma.f64 #s(literal 1 binary64) (exp.f64 a) (exp.f64 b))
(fma.f64 #s(literal 1 binary64) (exp.f64 b) (exp.f64 a))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)) (exp.f64 a))
(fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)) (exp.f64 b))
(fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a)))
(fma.f64 (exp.f64 (neg.f64 a)) (exp.f64 b) #s(literal 1 binary64))
(fma.f64 (exp.f64 (+.f64 a b)) (exp.f64 (+.f64 a b)) (exp.f64 a))
(fma.f64 (exp.f64 (+.f64 a b)) (exp.f64 (+.f64 a b)) (exp.f64 b))
(fma.f64 (exp.f64 (+.f64 a b)) (exp.f64 (+.f64 a b)) (exp.f64 (+.f64 a b)))
(fma.f64 (exp.f64 (+.f64 a b)) (exp.f64 (+.f64 a b)) (exp.f64 (+.f64 a a)))
(fma.f64 (exp.f64 (+.f64 a b)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (exp.f64 (+.f64 a b)) (exp.f64 (+.f64 a a)) (exp.f64 a))
(fma.f64 (exp.f64 (+.f64 a b)) (exp.f64 (+.f64 a a)) (exp.f64 b))
(fma.f64 (exp.f64 (+.f64 a b)) (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))
(fma.f64 (exp.f64 (+.f64 a b)) (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (exp.f64 (+.f64 a a)) (exp.f64 a) (exp.f64 a))
(fma.f64 (exp.f64 (+.f64 a a)) (exp.f64 a) (exp.f64 b))
(fma.f64 (exp.f64 (+.f64 a a)) (exp.f64 a) (exp.f64 (+.f64 a b)))
(fma.f64 (exp.f64 (+.f64 a a)) (exp.f64 a) (exp.f64 (+.f64 a a)))
(fma.f64 (exp.f64 (+.f64 a a)) (exp.f64 b) (exp.f64 a))
(fma.f64 (exp.f64 (+.f64 a a)) (exp.f64 b) (exp.f64 b))
(fma.f64 (exp.f64 (+.f64 a a)) (exp.f64 b) (exp.f64 (+.f64 a b)))
(fma.f64 (exp.f64 (+.f64 a a)) (exp.f64 b) (exp.f64 (+.f64 a a)))
(fma.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64) (exp.f64 a))
(fma.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64) (exp.f64 b))
(fma.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64) (exp.f64 (+.f64 a b)))
(fma.f64 (exp.f64 (+.f64 a a)) #s(literal 1 binary64) (exp.f64 (+.f64 a a)))
(fma.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)) (exp.f64 a))
(fma.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)) (exp.f64 b))
(fma.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)) (exp.f64 (+.f64 a b)))
(fma.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)) (exp.f64 (+.f64 a a)))
(fma.f64 (exp.f64 (+.f64 a a)) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a)) (exp.f64 a))
(fma.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a)) (exp.f64 b))
(fma.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b)))
(fma.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a a)))
(fma.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 (+.f64 a (+.f64 a b))) #s(literal 3 binary64)) (exp.f64 a))
(fma.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 (+.f64 a (+.f64 a b))) #s(literal 3 binary64)) (exp.f64 b))
(fma.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 (+.f64 a (+.f64 a b))) #s(literal 3 binary64)) (exp.f64 (+.f64 a b)))
(fma.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 (+.f64 a (+.f64 a b))) #s(literal 3 binary64)) (exp.f64 (+.f64 a a)))
(fma.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 (+.f64 b (+.f64 a b))) #s(literal 3 binary64)) (exp.f64 a))
(fma.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 (+.f64 b (+.f64 a b))) #s(literal 3 binary64)) (exp.f64 b))
(fma.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 (+.f64 b (+.f64 a b))) #s(literal 3 binary64)) (exp.f64 (+.f64 a b)))
(fma.f64 (exp.f64 (+.f64 a a)) (pow.f64 (exp.f64 (+.f64 b (+.f64 a b))) #s(literal 3 binary64)) (exp.f64 (+.f64 a a)))
(fma.f64 (neg.f64 (exp.f64 (+.f64 a a))) (neg.f64 (exp.f64 (+.f64 a a))) (exp.f64 a))
(fma.f64 (neg.f64 (exp.f64 (+.f64 a a))) (neg.f64 (exp.f64 (+.f64 a a))) (exp.f64 b))
(fma.f64 (neg.f64 (exp.f64 (+.f64 a a))) (neg.f64 (exp.f64 (+.f64 a a))) (exp.f64 (+.f64 a b)))
(fma.f64 (neg.f64 (exp.f64 (+.f64 a a))) (neg.f64 (exp.f64 (+.f64 a a))) (exp.f64 (+.f64 a a)))
(fma.f64 (neg.f64 (exp.f64 (+.f64 a b))) (neg.f64 (exp.f64 (+.f64 a b))) (exp.f64 a))
(fma.f64 (neg.f64 (exp.f64 (+.f64 a b))) (neg.f64 (exp.f64 (+.f64 a b))) (exp.f64 b))
(fma.f64 (neg.f64 (exp.f64 (+.f64 a b))) (neg.f64 (exp.f64 (+.f64 a b))) (exp.f64 (+.f64 a b)))
(fma.f64 (neg.f64 (exp.f64 (+.f64 a b))) (neg.f64 (exp.f64 (+.f64 a b))) (exp.f64 (+.f64 a a)))
(fma.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (/.f64 (exp.f64 a) #s(literal 1 binary64)) (/.f64 (exp.f64 b) (-.f64 (exp.f64 a) (exp.f64 b))) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))))
(fma.f64 (exp.f64 (*.f64 b #s(literal 3/2 binary64))) (exp.f64 (*.f64 b #s(literal 3/2 binary64))) (exp.f64 a))
(fma.f64 (exp.f64 (*.f64 b #s(literal 3/2 binary64))) (exp.f64 (*.f64 b #s(literal 3/2 binary64))) (exp.f64 b))
(fma.f64 (exp.f64 (*.f64 b #s(literal 3/2 binary64))) (exp.f64 (*.f64 b #s(literal 3/2 binary64))) (exp.f64 (+.f64 a b)))
(fma.f64 (exp.f64 (*.f64 b #s(literal 3/2 binary64))) (exp.f64 (*.f64 b #s(literal 3/2 binary64))) (exp.f64 (+.f64 a a)))
(fma.f64 (exp.f64 (*.f64 (+.f64 a b) #s(literal 3/2 binary64))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 3/2 binary64))) (exp.f64 a))
(fma.f64 (exp.f64 (*.f64 (+.f64 a b) #s(literal 3/2 binary64))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 3/2 binary64))) (exp.f64 b))
(fma.f64 (exp.f64 (*.f64 (+.f64 a b) #s(literal 3/2 binary64))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 3/2 binary64))) (exp.f64 (+.f64 a b)))
(fma.f64 (exp.f64 (*.f64 (+.f64 a b) #s(literal 3/2 binary64))) (exp.f64 (*.f64 (+.f64 a b) #s(literal 3/2 binary64))) (exp.f64 (+.f64 a a)))
(fma.f64 (exp.f64 (*.f64 a #s(literal 3/2 binary64))) (exp.f64 (*.f64 a #s(literal 3/2 binary64))) (exp.f64 a))
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(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))))
(/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (neg.f64 (exp.f64 a))))
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(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (-.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (exp.f64 (+.f64 a b))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) (neg.f64 (exp.f64 a))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (exp.f64 (+.f64 a b))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (/.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (-.f64 (exp.f64 a) (exp.f64 b))) (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (/.f64 (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) (-.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64)) (/.f64 (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) (-.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (-.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (exp.f64 a) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (exp.f64 (+.f64 a b))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) (exp.f64 a)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (exp.f64 (+.f64 a b))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) (/.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 a) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (exp.f64 (+.f64 a b))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (exp.f64 a) #s(literal 1 binary64)) (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (exp.f64 (+.f64 a b))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))))
(/.f64 (exp.f64 (neg.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))
(/.f64 (exp.f64 (neg.f64 a)) (*.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (exp.f64 (+.f64 a b))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (exp.f64 a))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (exp.f64 (neg.f64 a)))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (exp.f64 (+.f64 a b))) (exp.f64 a)))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (*.f64 (exp.f64 a) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (exp.f64 (+.f64 a b)))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (exp.f64 (+.f64 a b))))
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(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (exp.f64 (log.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (exp.f64 (+.f64 a b))))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (exp.f64 (+.f64 a b))) #s(literal 3 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (*.f64 (/.f64 (exp.f64 a) #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (exp.f64 (+.f64 a b)))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (exp.f64 (+.f64 a b))) (/.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (exp.f64 (+.f64 a b))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (*.f64 (/.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (exp.f64 (+.f64 a b))) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (exp.f64 (+.f64 a 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)) #s(literal 1 binary64)))
(/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))))
(/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (exp.f64 (+.f64 a b)))))
(/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (*.f64 (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))) #s(literal 1 binary64)))
(/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (exp.f64 (+.f64 a b))) (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (-.f64 (*.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 a) (exp.f64 b))) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (+.f64 a b)))) (pow.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64)) (-.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))
(/.f64 (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (neg.f64 (exp.f64 (+.f64 a a)))) (-.f64 (exp.f64 a) (exp.f64 b))))
(/.f64 (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (exp.f64 (+.f64 a b)))))
(/.f64 (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64)) (*.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64)) (*.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) (neg.f64 (-.f64 (exp.f64 a) (exp.f64 b)))))
(/.f64 (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 a a)) (neg.f64 (exp.f64 (+.f64 a a))))) (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 (+.f64 a a)) (neg.f64 (exp.f64 (+.f64 a a)))) (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (/.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) #s(literal 1 binary64))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 a a)) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (+.f64 a a)) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))) (/.f64 (exp.f64 (+.f64 a a)) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))) (fma.f64 (/.f64 (exp.f64 (+.f64 a a)) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))) (/.f64 (exp.f64 (+.f64 a a)) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))) (*.f64 (/.f64 (exp.f64 (+.f64 a a)) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))) (/.f64 (exp.f64 (+.f64 a a)) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))))))))
(pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (-.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64))
(*.f64 (exp.f64 a) (-.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (exp.f64 b) (expm1.f64 a))
(*.f64 (exp.f64 b) (-.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (exp.f64 (neg.f64 a)) (-.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b)))) (-.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (-.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (/.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (exp.f64 (+.f64 a b))))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 a) (exp.f64 b)))))
(*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a)))
(*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))
(*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))))
(*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 a a)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (exp.f64 (+.f64 a b))))))
(*.f64 (-.f64 (exp.f64 a) (exp.f64 b)) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (exp.f64 (+.f64 a b))))))
(*.f64 (+.f64 (exp.f64 (+.f64 a a)) (-.f64 (exp.f64 (+.f64 a a)) (neg.f64 (exp.f64 (+.f64 a a))))) (-.f64 (exp.f64 a) (exp.f64 b)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (neg.f64 a) b))) (-.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)))))
(exp.f64 (+.f64 a b))
(/.f64 (exp.f64 (/.f64 (*.f64 a a) (-.f64 a b))) (exp.f64 (/.f64 (*.f64 b b) (-.f64 a b))))
(pow.f64 (exp.f64 (fma.f64 a (*.f64 a a) (*.f64 b (*.f64 b b)))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 b (-.f64 b a)))))
(pow.f64 (exp.f64 (*.f64 (+.f64 a b) (-.f64 a b))) (/.f64 #s(literal 1 binary64) (-.f64 a b)))
(*.f64 (exp.f64 a) (exp.f64 b))
(*.f64 (exp.f64 b) (exp.f64 a))

simplify411.0ms (4.1%)

Memory
-15.9MiB live, 707.8MiB allocated
Algorithm
1×egg-herbie
Rules
7 738×accelerator-lowering-fma.f32
7 738×accelerator-lowering-fma.f64
5 166×*-lowering-*.f32
5 166×*-lowering-*.f64
3 904×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05514809
116494575
245844401
081784065
Stop Event
1×iter limit
1×node limit
Counts
336 → 336
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp b)))
(+ (/ 1 (+ 1 (exp b))) (/ (* a (- 1 (/ 1 (+ 1 (exp b))))) (+ 1 (exp b))))
(+ (* a (- (+ (/ 1 (+ 1 (exp b))) (/ (* a (+ (* -1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (* 1/2 (pow (- 1 (/ 1 (+ 1 (exp b)))) 2)))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (+ (* a (+ (* -1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (+ (* 1/2 (/ (pow (- 1 (/ 1 (+ 1 (exp b)))) 2) (+ 1 (exp b)))) (/ (* a (+ (* -1/2 (* (- 1 (/ 1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (+ (* -1/6 (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2))))) (* 1/6 (pow (- 1 (/ 1 (+ 1 (exp b)))) 3))))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(exp (+ a (* -1 (log (+ 1 (exp a))))))
(+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* -1 (/ (* b (exp (+ a (* -1 (log (+ 1 (exp a))))))) (+ 1 (exp a)))))
(+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* b (+ (* -1 (/ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ 1 (exp a)))) (* b (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))))))
(+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* b (+ (* -1 (/ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ 1 (exp a)))) (* b (+ (* b (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (- (+ (* -1/6 (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2))))) (* 1/2 (/ (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))) (+ 1 (exp a))))) (* 1/6 (/ 1 (pow (+ 1 (exp a)) 3)))))) (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(* -1 (log (+ 1 (exp b))))
(+ (* -1 (log (+ 1 (exp b)))) (* a (- 1 (/ 1 (+ 1 (exp b))))))
(+ (* -1 (log (+ 1 (exp b)))) (* a (- (+ 1 (* -1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(+ (* -1 (log (+ 1 (exp b)))) (* a (- (+ 1 (* a (+ (* -1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (* -1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2))))))))) (/ 1 (+ 1 (exp b))))))
a
(* a (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a))))
(* a (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a))))
(* a (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a))))
a
(* -1 (* a (- (/ (log (+ (exp a) (exp b))) a) 1)))
(* -1 (* a (- (/ (log (+ (exp a) (exp b))) a) 1)))
(* -1 (* a (- (/ (log (+ (exp a) (exp b))) a) 1)))
(+ a (* -1 (log (+ 1 (exp a)))))
(+ a (+ (* -1 (log (+ 1 (exp a)))) (* -1 (/ b (+ 1 (exp a))))))
(+ a (+ (* -1 (log (+ 1 (exp a)))) (* b (- (* -1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a)))))))
(+ a (+ (* -1 (log (+ 1 (exp a)))) (* b (- (* b (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* -1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))))) (/ 1 (+ 1 (exp a)))))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(+ a (* -1 (log (+ (exp a) (exp b)))))
(log (+ 1 (exp b)))
(+ (log (+ 1 (exp b))) (/ a (+ 1 (exp b))))
(+ (log (+ 1 (exp b))) (* a (+ (* 1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))))
(+ (log (+ 1 (exp b))) (* a (+ (* a (+ (* 1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ 1 (exp a)))
(+ (log (+ 1 (exp a))) (/ b (+ 1 (exp a))))
(+ (log (+ 1 (exp a))) (* b (+ (* 1/2 (* b (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))))) (/ 1 (+ 1 (exp a))))))
(+ (log (+ 1 (exp a))) (* b (+ (* b (+ (* 1/6 (* b (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2)))))) (* 1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))))) (/ 1 (+ 1 (exp a))))))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(log (+ (exp a) (exp b)))
(+ 1 (exp b))
(+ 1 (+ a (exp b)))
(+ 1 (+ (exp b) (* a (+ 1 (* 1/2 a)))))
(+ 1 (+ (exp b) (* a (+ 1 (* a (+ 1/2 (* 1/6 a)))))))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ 1 (exp a))
(+ 1 (+ b (exp a)))
(+ 1 (+ (exp a) (* b (+ 1 (* 1/2 b)))))
(+ 1 (+ (exp a) (* b (+ 1 (* b (+ 1/2 (* 1/6 b)))))))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
(+ (exp a) (exp b))
1/2
(+ 1/2 (* -1/4 b))
(+ 1/2 (* b (- (* 1/48 (pow b 2)) 1/4)))
(+ 1/2 (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
(/ 1 (+ 1 (exp b)))
2
(+ 2 b)
(+ 2 (* b (+ 1 (* 1/2 b))))
(+ 2 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
(+ 1 (exp b))
1
(+ 1 b)
(+ 1 (* b (+ 1 (* 1/2 b))))
(+ 1 (* b (+ 1 (* b (+ 1/2 (* 1/6 b))))))
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
(exp b)
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+ 1/2 (* a (+ 1/4 (* (pow a 2) (- (* 1/480 (pow a 2)) 1/48)))))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
(/ (exp a) (+ 1 (exp a)))
1
(+ 1 a)
(+ 1 (* a (+ 1 (* 1/2 a))))
(+ 1 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
(exp a)
2
(+ 2 a)
(+ 2 (* a (+ 1 (* 1/2 a))))
(+ 2 (* a (+ 1 (* a (+ 1/2 (* 1/6 a))))))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (exp a))
(+ 1 (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 (exp (* 2 b))))
(- (+ (* a (- (* 2 (/ 1 (- 1 (exp (* 2 b))))) (+ (* 2 (/ (- 1 (exp b)) (pow (- 1 (exp (* 2 b))) 2))) (/ (exp b) (- 1 (exp (* 2 b))))))) (/ 1 (- 1 (exp (* 2 b))))) (/ (exp b) (- 1 (exp (* 2 b)))))
(- (+ (* a (- (+ (* 2 (/ 1 (- 1 (exp (* 2 b))))) (* a (- (* 2 (/ 1 (- 1 (exp (* 2 b))))) (+ (* 1/2 (/ (exp b) (- 1 (exp (* 2 b))))) (+ (* 2 (/ (- 1 (exp b)) (pow (- 1 (exp (* 2 b))) 2))) (* 2 (/ (- (* 2 (/ 1 (- 1 (exp (* 2 b))))) (+ (* 2 (/ (- 1 (exp b)) (pow (- 1 (exp (* 2 b))) 2))) (/ (exp b) (- 1 (exp (* 2 b)))))) (- 1 (exp (* 2 b)))))))))) (+ (* 2 (/ (- 1 (exp b)) (pow (- 1 (exp (* 2 b))) 2))) (/ (exp b) (- 1 (exp (* 2 b))))))) (/ 1 (- 1 (exp (* 2 b))))) (/ (exp b) (- 1 (exp (* 2 b)))))
(- (+ (* a (- (+ (* 2 (/ 1 (- 1 (exp (* 2 b))))) (* a (- (+ (* 2 (/ 1 (- 1 (exp (* 2 b))))) (* a (- (* 4/3 (/ 1 (- 1 (exp (* 2 b))))) (+ (* 1/6 (/ (exp b) (- 1 (exp (* 2 b))))) (+ (* 4/3 (/ (- 1 (exp b)) (pow (- 1 (exp (* 2 b))) 2))) (+ (* 2 (/ (- (* 2 (/ 1 (- 1 (exp (* 2 b))))) (+ (* 1/2 (/ (exp b) (- 1 (exp (* 2 b))))) (+ (* 2 (/ (- 1 (exp b)) (pow (- 1 (exp (* 2 b))) 2))) (* 2 (/ (- (* 2 (/ 1 (- 1 (exp (* 2 b))))) (+ (* 2 (/ (- 1 (exp b)) (pow (- 1 (exp (* 2 b))) 2))) (/ (exp b) (- 1 (exp (* 2 b)))))) (- 1 (exp (* 2 b)))))))) (- 1 (exp (* 2 b))))) (* 2 (/ (- (* 2 (/ 1 (- 1 (exp (* 2 b))))) (+ (* 2 (/ (- 1 (exp b)) (pow (- 1 (exp (* 2 b))) 2))) (/ (exp b) (- 1 (exp (* 2 b)))))) (- 1 (exp (* 2 b))))))))))) (+ (* 1/2 (/ (exp b) (- 1 (exp (* 2 b))))) (+ (* 2 (/ (- 1 (exp b)) (pow (- 1 (exp (* 2 b))) 2))) (* 2 (/ (- (* 2 (/ 1 (- 1 (exp (* 2 b))))) (+ (* 2 (/ (- 1 (exp b)) (pow (- 1 (exp (* 2 b))) 2))) (/ (exp b) (- 1 (exp (* 2 b)))))) (- 1 (exp (* 2 b)))))))))) (+ (* 2 (/ (- 1 (exp b)) (pow (- 1 (exp (* 2 b))) 2))) (/ (exp b) (- 1 (exp (* 2 b))))))) (/ 1 (- 1 (exp (* 2 b))))) (/ (exp b) (- 1 (exp (* 2 b)))))
(/ (- (exp (* 2 a)) (exp (+ a b))) (- (exp (* 2 a)) (exp (* 2 b))))
(/ (- (exp (* 2 a)) (exp (+ a b))) (- (exp (* 2 a)) (exp (* 2 b))))
(/ (- (exp (* 2 a)) (exp (+ a b))) (- (exp (* 2 a)) (exp (* 2 b))))
(/ (- (exp (* 2 a)) (exp (+ a b))) (- (exp (* 2 a)) (exp (* 2 b))))
(/ (- (exp (neg (* -2 a))) (exp (- b (* -1 a)))) (- (exp (neg (* -2 a))) (exp (* 2 b))))
(/ (- (exp (neg (* -2 a))) (exp (- b (* -1 a)))) (- (exp (neg (* -2 a))) (exp (* 2 b))))
(/ (- (exp (neg (* -2 a))) (exp (- b (* -1 a)))) (- (exp (neg (* -2 a))) (exp (* 2 b))))
(/ (- (exp (neg (* -2 a))) (exp (- b (* -1 a)))) (- (exp (neg (* -2 a))) (exp (* 2 b))))
(/ (- (exp (* 2 a)) (exp a)) (- (exp (* 2 a)) 1))
(- (+ (* b (- (* -1 (/ (exp a) (- (exp (* 2 a)) 1))) (* -2 (/ (- (exp (* 2 a)) (exp a)) (pow (- (exp (* 2 a)) 1) 2))))) (/ (exp (* 2 a)) (- (exp (* 2 a)) 1))) (/ (exp a) (- (exp (* 2 a)) 1)))
(- (+ (* b (- (+ (* -1 (/ (exp a) (- (exp (* 2 a)) 1))) (* b (- (* -1/2 (/ (exp a) (- (exp (* 2 a)) 1))) (+ (* -2 (/ (- (exp (* 2 a)) (exp a)) (pow (- (exp (* 2 a)) 1) 2))) (* -2 (/ (- (* -1 (/ (exp a) (- (exp (* 2 a)) 1))) (* -2 (/ (- (exp (* 2 a)) (exp a)) (pow (- (exp (* 2 a)) 1) 2)))) (- (exp (* 2 a)) 1))))))) (* -2 (/ (- (exp (* 2 a)) (exp a)) (pow (- (exp (* 2 a)) 1) 2))))) (/ (exp (* 2 a)) (- (exp (* 2 a)) 1))) (/ (exp a) (- (exp (* 2 a)) 1)))
(- (+ (* b (- (+ (* -1 (/ (exp a) (- (exp (* 2 a)) 1))) (* b (- (+ (* -1/2 (/ (exp a) (- (exp (* 2 a)) 1))) (* b (- (* -1/6 (/ (exp a) (- (exp (* 2 a)) 1))) (+ (* -2 (/ (- (* -1 (/ (exp a) (- (exp (* 2 a)) 1))) (* -2 (/ (- (exp (* 2 a)) (exp a)) (pow (- (exp (* 2 a)) 1) 2)))) (- (exp (* 2 a)) 1))) (+ (* -2 (/ (- (* -1/2 (/ (exp a) (- (exp (* 2 a)) 1))) (+ (* -2 (/ (- (exp (* 2 a)) (exp a)) (pow (- (exp (* 2 a)) 1) 2))) (* -2 (/ (- (* -1 (/ (exp a) (- (exp (* 2 a)) 1))) (* -2 (/ (- (exp (* 2 a)) (exp a)) (pow (- (exp (* 2 a)) 1) 2)))) (- (exp (* 2 a)) 1))))) (- (exp (* 2 a)) 1))) (* -4/3 (/ (- (exp (* 2 a)) (exp a)) (pow (- (exp (* 2 a)) 1) 2)))))))) (+ (* -2 (/ (- (exp (* 2 a)) (exp a)) (pow (- (exp (* 2 a)) 1) 2))) (* -2 (/ (- (* -1 (/ (exp a) (- (exp (* 2 a)) 1))) (* -2 (/ (- (exp (* 2 a)) (exp a)) (pow (- (exp (* 2 a)) 1) 2)))) (- (exp (* 2 a)) 1))))))) (* -2 (/ (- (exp (* 2 a)) (exp a)) (pow (- (exp (* 2 a)) 1) 2))))) (/ (exp (* 2 a)) (- (exp (* 2 a)) 1))) (/ (exp a) (- (exp (* 2 a)) 1)))
(/ (- (exp (* 2 a)) (exp (+ a b))) (- (exp (* 2 a)) (exp (* 2 b))))
(/ (- (exp (* 2 a)) (exp (+ a b))) (- (exp (* 2 a)) (exp (* 2 b))))
(/ (- (exp (* 2 a)) (exp (+ a b))) (- (exp (* 2 a)) (exp (* 2 b))))
(/ (- (exp (* 2 a)) (exp (+ a b))) (- (exp (* 2 a)) (exp (* 2 b))))
(/ (- (exp (* 2 a)) (exp (- a (* -1 b)))) (- (exp (* 2 a)) (exp (neg (* -2 b)))))
(/ (- (exp (* 2 a)) (exp (- a (* -1 b)))) (- (exp (* 2 a)) (exp (neg (* -2 b)))))
(/ (- (exp (* 2 a)) (exp (- a (* -1 b)))) (- (exp (* 2 a)) (exp (neg (* -2 b)))))
(/ (- (exp (* 2 a)) (exp (- a (* -1 b)))) (- (exp (* 2 a)) (exp (neg (* -2 b)))))
(- 1 (exp b))
(- (+ 1 (* a (- 2 (exp b)))) (exp b))
(- (+ 1 (* a (- (+ 2 (* a (- 2 (* 1/2 (exp b))))) (exp b)))) (exp b))
(- (+ 1 (* a (- (+ 2 (* a (- (+ 2 (* a (- 4/3 (* 1/6 (exp b))))) (* 1/2 (exp b))))) (exp b)))) (exp b))
(- (exp (* 2 a)) (exp (+ a b)))
(- (exp (* 2 a)) (exp (+ a b)))
(- (exp (* 2 a)) (exp (+ a b)))
(- (exp (* 2 a)) (exp (+ a b)))
(- (exp (neg (* -2 a))) (exp (- b (* -1 a))))
(- (exp (neg (* -2 a))) (exp (- b (* -1 a))))
(- (exp (neg (* -2 a))) (exp (- b (* -1 a))))
(- (exp (neg (* -2 a))) (exp (- b (* -1 a))))
(- (exp (* 2 a)) (exp a))
(- (+ (exp (* 2 a)) (* -1 (* b (exp a)))) (exp a))
(- (+ (exp (* 2 a)) (* b (- (* -1/2 (* b (exp a))) (exp a)))) (exp a))
(- (+ (exp (* 2 a)) (* b (- (* b (- (* -1/6 (* b (exp a))) (* 1/2 (exp a)))) (exp a)))) (exp a))
(- (exp (* 2 a)) (exp (+ a b)))
(- (exp (* 2 a)) (exp (+ a b)))
(- (exp (* 2 a)) (exp (+ a b)))
(- (exp (* 2 a)) (exp (+ a b)))
(- (exp (* 2 a)) (exp (- a (* -1 b))))
(- (exp (* 2 a)) (exp (- a (* -1 b))))
(- (exp (* 2 a)) (exp (- a (* -1 b))))
(- (exp (* 2 a)) (exp (- a (* -1 b))))
1
(+ 1 (* 2 a))
(+ 1 (* a (+ 2 (* 2 a))))
(+ 1 (* a (+ 2 (* a (+ 2 (* 4/3 a))))))
(exp (* 2 a))
(exp (* 2 a))
(exp (* 2 a))
(exp (* 2 a))
(exp (neg (* -2 a)))
(exp (neg (* -2 a)))
(exp (neg (* -2 a)))
(exp (neg (* -2 a)))
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(* 2 a)
(- 1 (exp (* 2 b)))
(- (+ 1 (* 2 a)) (exp (* 2 b)))
(- (+ 1 (* a (+ 2 (* 2 a)))) (exp (* 2 b)))
(- (+ 1 (* a (+ 2 (* a (+ 2 (* 4/3 a)))))) (exp (* 2 b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(- (exp (neg (* -2 a))) (exp (* 2 b)))
(- (exp (neg (* -2 a))) (exp (* 2 b)))
(- (exp (neg (* -2 a))) (exp (* 2 b)))
(- (exp (neg (* -2 a))) (exp (* 2 b)))
(- (exp (* 2 a)) 1)
(- (+ (exp (* 2 a)) (* -2 b)) 1)
(- (+ (exp (* 2 a)) (* b (- (* -2 b) 2))) 1)
(- (+ (exp (* 2 a)) (* b (- (* b (- (* -4/3 b) 2)) 2))) 1)
(- (exp (* 2 a)) (exp (* 2 b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(- (exp (* 2 a)) (exp (neg (* -2 b))))
(- (exp (* 2 a)) (exp (neg (* -2 b))))
(- (exp (* 2 a)) (exp (neg (* -2 b))))
(- (exp (* 2 a)) (exp (neg (* -2 b))))
(exp b)
(+ (exp b) (* a (exp b)))
(+ (exp b) (* a (+ (exp b) (* 1/2 (* a (exp b))))))
(+ (exp b) (* a (+ (exp b) (* a (+ (* 1/6 (* a (exp b))) (* 1/2 (exp b)))))))
(exp (+ a b))
(exp (+ a b))
(exp (+ a b))
(exp (+ a b))
(exp (- b (* -1 a)))
(exp (- b (* -1 a)))
(exp (- b (* -1 a)))
(exp (- b (* -1 a)))
(exp a)
(+ (exp a) (* b (exp a)))
(+ (exp a) (* b (+ (exp a) (* 1/2 (* b (exp a))))))
(+ (exp a) (* b (+ (exp a) (* b (+ (* 1/6 (* b (exp a))) (* 1/2 (exp a)))))))
(exp (+ a b))
(exp (+ a b))
(exp (+ a b))
(exp (+ a b))
(exp (- a (* -1 b)))
(exp (- a (* -1 b)))
(exp (- a (* -1 b)))
(exp (- a (* -1 b)))
Outputs
(/ 1 (+ 1 (exp b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (/ 1 (+ 1 (exp b))) (/ (* a (- 1 (/ 1 (+ 1 (exp b))))) (+ 1 (exp b))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (+.f64 a (neg.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (/ 1 (+ 1 (exp b))) (/ (* a (+ (* -1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (* 1/2 (pow (- 1 (/ 1 (+ 1 (exp b)))) 2)))) (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #s(literal 2 binary64)))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (- (+ (* a (+ (* -1/2 (/ (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))) (+ 1 (exp b)))) (+ (* 1/2 (/ (pow (- 1 (/ 1 (+ 1 (exp b)))) 2) (+ 1 (exp b)))) (/ (* a (+ (* -1/2 (* (- 1 (/ 1 (+ 1 (exp b)))) (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2))))) (+ (* -1/6 (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2))))) (* 1/6 (pow (- 1 (/ 1 (+ 1 (exp b)))) 3))))) (+ 1 (exp b)))))) (/ 1 (+ 1 (exp b)))) (/ 1 (pow (+ 1 (exp b)) 2)))) (/ 1 (+ 1 (exp b))))
(fma.f64 a (fma.f64 a (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (fma.f64 #s(literal -1/6 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) #s(literal 3 binary64))))) (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (- (* -1 (log (+ (exp a) (exp b)))) (* -1 a)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (+ a (* -1 (log (+ 1 (exp a))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* -1 (/ (* b (exp (+ a (* -1 (log (+ 1 (exp a))))))) (+ 1 (exp a)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (/.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))))
(+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* b (+ (* -1 (/ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ 1 (exp a)))) (* b (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2)))))))))
(fma.f64 b (fma.f64 (*.f64 b (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))) (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(+ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (* b (+ (* -1 (/ (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ 1 (exp a)))) (* b (+ (* b (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (- (+ (* -1/6 (- (+ (* 2 (/ 1 (pow (+ 1 (exp a)) 3))) (/ 1 (+ 1 (exp a)))) (* 3 (/ 1 (pow (+ 1 (exp a)) 2))))) (* 1/2 (/ (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2))) (+ 1 (exp a))))) (* 1/6 (/ 1 (pow (+ 1 (exp a)) 3)))))) (* (exp (+ a (* -1 (log (+ 1 (exp a)))))) (+ (* -1/2 (- (/ 1 (+ 1 (exp a))) (/ 1 (pow (+ 1 (exp a)) 2)))) (* 1/2 (/ 1 (pow (+ 1 (exp a)) 2))))))))))
(fma.f64 b (fma.f64 b (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))) (fma.f64 #s(literal -1/6 binary64) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64)))) (/.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 #s(literal -1/6 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 3 binary64))))) b (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 a))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) #s(literal 2 binary64)))))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(exp (+ a (* -1 (log (+ (exp a) (exp b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(* -1 (log (+ 1 (exp b))))
(neg.f64 (log1p.f64 (exp.f64 b)))
(+ (* -1 (log (+ 1 (exp b)))) (* a (- 1 (/ 1 (+ 1 (exp b))))))
(-.f64 (+.f64 a (neg.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (log1p.f64 (exp.f64 b)))
(+ (* -1 (log (+ 1 (exp b)))) (* a (- (+ 1 (* -1/2 (* a (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))))) (/ 1 (+ 1 (exp b))))))
(fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 a (neg.f64 (/.f64 a (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (neg.f64 (log1p.f64 (exp.f64 b))))
(+ (* -1 (log (+ 1 (exp b)))) (* a (- (+ 1 (* a (+ (* -1/2 (- (/ 1 (+ 1 (exp b))) (/ 1 (pow (+ 1 (exp b)) 2)))) (* -1/6 (* a (- (+ (* 2 (/ 1 (pow (+ 1 (exp b)) 3))) (/ 1 (+ 1 (exp b)))) (* 3 (/ 1 (pow (+ 1 (exp b)) 2))))))))) (/ 1 (+ 1 (exp b))))))
(fma.f64 a (fma.f64 a (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal -3 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 2 binary64))))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))) (neg.f64 (log1p.f64 (exp.f64 b))))
a
(* a (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a))))
(fma.f64 a (/.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a)) a)
(* a (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a))))
(fma.f64 a (/.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a)) a)
(* a (+ 1 (* -1 (/ (log (+ (exp a) (exp b))) a))))
(fma.f64 a (/.f64 (log.f64 (+.f64 (exp.f64 b) (exp.f64 a))) (neg.f64 a)) a)
a
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1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/4 b))
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(/ 1 (+ 1 (exp b)))
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#s(literal 2 binary64)
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1
#s(literal 1 binary64)
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(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
(exp.f64 b)
(exp b)
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(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)
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1
#s(literal 1 binary64)
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(exp a)
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2
#s(literal 2 binary64)
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(* (exp (neg a)) (+ (exp a) (exp b)))
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(* (exp (neg a)) (+ (exp a) (exp b)))
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(* (exp (* -1 a)) (+ (exp a) (exp b)))
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(* (exp (* -1 a)) (+ (exp a) (exp b)))
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(* (exp (neg a)) (+ 1 (exp a)))
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(* (exp (neg a)) (+ (exp a) (exp b)))
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(fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 a) (expm1.f64 (+.f64 a a))) (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 (/.f64 (*.f64 (exp.f64 a) (expm1.f64 a)) (pow.f64 (expm1.f64 (+.f64 a a)) #s(literal 2 binary64))) (/.f64 (exp.f64 a) (pow.f64 (expm1.f64 (+.f64 a a)) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 a) (expm1.f64 a))) (pow.f64 (expm1.f64 (+.f64 a a)) #s(literal 3 binary64)))))) (-.f64 (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 a) (expm1.f64 a))) (pow.f64 (expm1.f64 (+.f64 a a)) #s(literal 2 binary64))) (/.f64 (exp.f64 a) (expm1.f64 (+.f64 a a))))) (/.f64 (*.f64 (exp.f64 a) (expm1.f64 a)) (expm1.f64 (+.f64 a a))))
(- (+ (* b (- (+ (* -1 (/ (exp a) (- (exp (* 2 a)) 1))) (* b (- (+ (* -1/2 (/ (exp a) (- (exp (* 2 a)) 1))) (* b (- (* -1/6 (/ (exp a) (- (exp (* 2 a)) 1))) (+ (* -2 (/ (- (* -1 (/ (exp a) (- (exp (* 2 a)) 1))) (* -2 (/ (- (exp (* 2 a)) (exp a)) (pow (- (exp (* 2 a)) 1) 2)))) (- (exp (* 2 a)) 1))) (+ (* -2 (/ (- (* -1/2 (/ (exp a) (- (exp (* 2 a)) 1))) (+ (* -2 (/ (- (exp (* 2 a)) (exp a)) (pow (- (exp (* 2 a)) 1) 2))) (* -2 (/ (- (* -1 (/ (exp a) (- (exp (* 2 a)) 1))) (* -2 (/ (- (exp (* 2 a)) (exp a)) (pow (- (exp (* 2 a)) 1) 2)))) (- (exp (* 2 a)) 1))))) (- (exp (* 2 a)) 1))) (* -4/3 (/ (- (exp (* 2 a)) (exp a)) (pow (- (exp (* 2 a)) 1) 2)))))))) (+ (* -2 (/ (- (exp (* 2 a)) (exp a)) (pow (- (exp (* 2 a)) 1) 2))) (* -2 (/ (- (* -1 (/ (exp a) (- (exp (* 2 a)) 1))) (* -2 (/ (- (exp (* 2 a)) (exp a)) (pow (- (exp (* 2 a)) 1) 2)))) (- (exp (* 2 a)) 1))))))) (* -2 (/ (- (exp (* 2 a)) (exp a)) (pow (- (exp (* 2 a)) 1) 2))))) (/ (exp (* 2 a)) (- (exp (* 2 a)) 1))) (/ (exp a) (- (exp (* 2 a)) 1)))
(fma.f64 b (-.f64 (fma.f64 b (fma.f64 b (fma.f64 #s(literal -1/6 binary64) (/.f64 (exp.f64 a) (expm1.f64 (+.f64 a a))) (fma.f64 #s(literal 2 binary64) (+.f64 (+.f64 (neg.f64 (/.f64 (exp.f64 a) (pow.f64 (expm1.f64 (+.f64 a a)) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 a) (expm1.f64 a))) (pow.f64 (expm1.f64 (+.f64 a a)) #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 a) (expm1.f64 (+.f64 a a))) (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 (/.f64 (*.f64 (exp.f64 a) (expm1.f64 a)) (pow.f64 (expm1.f64 (+.f64 a a)) #s(literal 2 binary64))) (/.f64 (exp.f64 a) (pow.f64 (expm1.f64 (+.f64 a a)) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 a) (expm1.f64 a))) (pow.f64 (expm1.f64 (+.f64 a a)) #s(literal 3 binary64)))))) (expm1.f64 (+.f64 a a)))) (*.f64 #s(literal 4/3 binary64) (/.f64 (*.f64 (exp.f64 a) (expm1.f64 a)) (pow.f64 (expm1.f64 (+.f64 a a)) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 a) (expm1.f64 (+.f64 a a))) (*.f64 #s(literal 2 binary64) (+.f64 (-.f64 (/.f64 (*.f64 (exp.f64 a) (expm1.f64 a)) (pow.f64 (expm1.f64 (+.f64 a a)) #s(literal 2 binary64))) (/.f64 (exp.f64 a) (pow.f64 (expm1.f64 (+.f64 a a)) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 a) (expm1.f64 a))) (pow.f64 (expm1.f64 (+.f64 a a)) #s(literal 3 binary64))))))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (exp.f64 a) (expm1.f64 a))) (pow.f64 (expm1.f64 (+.f64 a a)) #s(literal 2 binary64)))) (/.f64 (exp.f64 a) (expm1.f64 (+.f64 a a)))) (/.f64 (*.f64 (exp.f64 a) (expm1.f64 a)) (expm1.f64 (+.f64 a a))))
(/ (- (exp (* 2 a)) (exp (+ a b))) (- (exp (* 2 a)) (exp (* 2 b))))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b a))) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))
(/ (- (exp (* 2 a)) (exp (+ a b))) (- (exp (* 2 a)) (exp (* 2 b))))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b a))) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))
(/ (- (exp (* 2 a)) (exp (+ a b))) (- (exp (* 2 a)) (exp (* 2 b))))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b a))) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))
(/ (- (exp (* 2 a)) (exp (+ a b))) (- (exp (* 2 a)) (exp (* 2 b))))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b a))) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))
(/ (- (exp (* 2 a)) (exp (- a (* -1 b)))) (- (exp (* 2 a)) (exp (neg (* -2 b)))))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b a))) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))
(/ (- (exp (* 2 a)) (exp (- a (* -1 b)))) (- (exp (* 2 a)) (exp (neg (* -2 b)))))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b a))) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))
(/ (- (exp (* 2 a)) (exp (- a (* -1 b)))) (- (exp (* 2 a)) (exp (neg (* -2 b)))))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b a))) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))
(/ (- (exp (* 2 a)) (exp (- a (* -1 b)))) (- (exp (* 2 a)) (exp (neg (* -2 b)))))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b a))) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))
(- 1 (exp b))
(-.f64 #s(literal 1 binary64) (exp.f64 b))
(- (+ 1 (* a (- 2 (exp b)))) (exp b))
(fma.f64 a (-.f64 #s(literal 2 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 b)))
(- (+ 1 (* a (- (+ 2 (* a (- 2 (* 1/2 (exp b))))) (exp b)))) (exp b))
(fma.f64 a (-.f64 (fma.f64 a (fma.f64 (exp.f64 b) #s(literal -1/2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 b)))
(- (+ 1 (* a (- (+ 2 (* a (- (+ 2 (* a (- 4/3 (* 1/6 (exp b))))) (* 1/2 (exp b))))) (exp b)))) (exp b))
(fma.f64 a (fma.f64 a (fma.f64 (exp.f64 b) #s(literal -1/2 binary64) (fma.f64 a (fma.f64 (exp.f64 b) #s(literal -1/6 binary64) #s(literal 4/3 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (exp.f64 b))) (-.f64 #s(literal 1 binary64) (exp.f64 b)))
(- (exp (* 2 a)) (exp (+ a b)))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 a)) (exp (+ a b)))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 a)) (exp (+ a b)))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 a)) (exp (+ a b)))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b a)))
(- (exp (neg (* -2 a))) (exp (- b (* -1 a))))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b a)))
(- (exp (neg (* -2 a))) (exp (- b (* -1 a))))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b a)))
(- (exp (neg (* -2 a))) (exp (- b (* -1 a))))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b a)))
(- (exp (neg (* -2 a))) (exp (- b (* -1 a))))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 a)) (exp a))
(*.f64 (exp.f64 a) (expm1.f64 a))
(- (+ (exp (* 2 a)) (* -1 (* b (exp a)))) (exp a))
(fma.f64 (exp.f64 a) (+.f64 (neg.f64 b) #s(literal -1 binary64)) (exp.f64 (+.f64 a a)))
(- (+ (exp (* 2 a)) (* b (- (* -1/2 (* b (exp a))) (exp a)))) (exp a))
(fma.f64 b (*.f64 (exp.f64 a) (fma.f64 b #s(literal -1/2 binary64) #s(literal -1 binary64))) (*.f64 (exp.f64 a) (expm1.f64 a)))
(- (+ (exp (* 2 a)) (* b (- (* b (- (* -1/6 (* b (exp a))) (* 1/2 (exp a)))) (exp a)))) (exp a))
(fma.f64 b (fma.f64 b (*.f64 (exp.f64 a) (fma.f64 b #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (neg.f64 (exp.f64 a))) (*.f64 (exp.f64 a) (expm1.f64 a)))
(- (exp (* 2 a)) (exp (+ a b)))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 a)) (exp (+ a b)))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 a)) (exp (+ a b)))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 a)) (exp (+ a b)))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 a)) (exp (- a (* -1 b))))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 a)) (exp (- a (* -1 b))))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 a)) (exp (- a (* -1 b))))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b a)))
(- (exp (* 2 a)) (exp (- a (* -1 b))))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b a)))
1
#s(literal 1 binary64)
(+ 1 (* 2 a))
(fma.f64 a #s(literal 2 binary64) #s(literal 1 binary64))
(+ 1 (* a (+ 2 (* 2 a))))
(fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* a (+ 2 (* a (+ 2 (* 4/3 a))))))
(fma.f64 a (fma.f64 a (fma.f64 a #s(literal 4/3 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))
(exp (* 2 a))
(exp.f64 (+.f64 a a))
(exp (* 2 a))
(exp.f64 (+.f64 a a))
(exp (* 2 a))
(exp.f64 (+.f64 a a))
(exp (* 2 a))
(exp.f64 (+.f64 a a))
(exp (neg (* -2 a)))
(exp.f64 (+.f64 a a))
(exp (neg (* -2 a)))
(exp.f64 (+.f64 a a))
(exp (neg (* -2 a)))
(exp.f64 (+.f64 a a))
(exp (neg (* -2 a)))
(exp.f64 (+.f64 a a))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(- 1 (exp (* 2 b)))
(-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b)))
(- (+ 1 (* 2 a)) (exp (* 2 b)))
(-.f64 #s(literal 1 binary64) (fma.f64 a #s(literal -2 binary64) (exp.f64 (+.f64 b b))))
(- (+ 1 (* a (+ 2 (* 2 a)))) (exp (* 2 b)))
(-.f64 (fma.f64 a (fma.f64 a #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64)) (exp.f64 (+.f64 b b)))
(- (+ 1 (* a (+ 2 (* a (+ 2 (* 4/3 a)))))) (exp (* 2 b)))
(-.f64 (fma.f64 a (fma.f64 a (fma.f64 a #s(literal 4/3 binary64) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (exp.f64 (+.f64 b b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))
(- (exp (neg (* -2 a))) (exp (* 2 b)))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))
(- (exp (neg (* -2 a))) (exp (* 2 b)))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))
(- (exp (neg (* -2 a))) (exp (* 2 b)))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))
(- (exp (neg (* -2 a))) (exp (* 2 b)))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))
(- (exp (* 2 a)) 1)
(expm1.f64 (+.f64 a a))
(- (+ (exp (* 2 a)) (* -2 b)) 1)
(fma.f64 b #s(literal -2 binary64) (expm1.f64 (+.f64 a a)))
(- (+ (exp (* 2 a)) (* b (- (* -2 b) 2))) 1)
(fma.f64 b (fma.f64 b #s(literal -2 binary64) #s(literal -2 binary64)) (expm1.f64 (+.f64 a a)))
(- (+ (exp (* 2 a)) (* b (- (* b (- (* -4/3 b) 2)) 2))) 1)
(fma.f64 b (fma.f64 b (fma.f64 b #s(literal -4/3 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)) (expm1.f64 (+.f64 a a)))
(- (exp (* 2 a)) (exp (* 2 b)))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))
(- (exp (* 2 a)) (exp (* 2 b)))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))
(- (exp (* 2 a)) (exp (neg (* -2 b))))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))
(- (exp (* 2 a)) (exp (neg (* -2 b))))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))
(- (exp (* 2 a)) (exp (neg (* -2 b))))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))
(- (exp (* 2 a)) (exp (neg (* -2 b))))
(-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b)))
(exp b)
(exp.f64 b)
(+ (exp b) (* a (exp b)))
(*.f64 (exp.f64 b) (+.f64 #s(literal 1 binary64) a))
(+ (exp b) (* a (+ (exp b) (* 1/2 (* a (exp b))))))
(*.f64 (exp.f64 b) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (exp b) (* a (+ (exp b) (* a (+ (* 1/6 (* a (exp b))) (* 1/2 (exp b)))))))
(fma.f64 a (*.f64 (exp.f64 b) (fma.f64 a (*.f64 a #s(literal 1/6 binary64)) (fma.f64 a #s(literal 1/2 binary64) #s(literal 1 binary64)))) (exp.f64 b))
(exp (+ a b))
(exp.f64 (+.f64 b a))
(exp (+ a b))
(exp.f64 (+.f64 b a))
(exp (+ a b))
(exp.f64 (+.f64 b a))
(exp (+ a b))
(exp.f64 (+.f64 b a))
(exp (- b (* -1 a)))
(exp.f64 (+.f64 b a))
(exp (- b (* -1 a)))
(exp.f64 (+.f64 b a))
(exp (- b (* -1 a)))
(exp.f64 (+.f64 b a))
(exp (- b (* -1 a)))
(exp.f64 (+.f64 b a))
(exp a)
(exp.f64 a)
(+ (exp a) (* b (exp a)))
(*.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) b))
(+ (exp a) (* b (+ (exp a) (* 1/2 (* b (exp a))))))
(*.f64 (exp.f64 a) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)))
(+ (exp a) (* b (+ (exp a) (* b (+ (* 1/6 (* b (exp a))) (* 1/2 (exp a)))))))
(fma.f64 b (*.f64 (exp.f64 a) (fma.f64 b (*.f64 b #s(literal 1/6 binary64)) (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)))) (exp.f64 a))
(exp (+ a b))
(exp.f64 (+.f64 b a))
(exp (+ a b))
(exp.f64 (+.f64 b a))
(exp (+ a b))
(exp.f64 (+.f64 b a))
(exp (+ a b))
(exp.f64 (+.f64 b a))
(exp (- a (* -1 b)))
(exp.f64 (+.f64 b a))
(exp (- a (* -1 b)))
(exp.f64 (+.f64 b a))
(exp (- a (* -1 b)))
(exp.f64 (+.f64 b a))
(exp (- a (* -1 b)))
(exp.f64 (+.f64 b a))

eval710.0ms (7.1%)

Memory
87.3MiB live, 900.0MiB allocated
Compiler

Compiled 108 079 to 7 330 computations (93.2% saved)

prune538.0ms (5.4%)

Memory
-15.7MiB live, 1 097.5MiB allocated
Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New4 573164 589
Fresh314
Picked325
Done000
Total4 579194 598
Accuracy
100.0%
Counts
4 598 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶36.5%
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
36.0%
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
36.8%
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
39.8%
(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))
▶39.7%
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
39.6%
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
18.9%
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))))
81.6%
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (exp.f64 a) (exp.f64 b)))
✓68.2%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
56.1%
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
51.6%
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
37.0%
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
▶99.9%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
▶68.2%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
✓81.3%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
24.1%
(+.f64 (exp.f64 b) #s(literal 1 binary64))
81.3%
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
52.8%
(exp.f64 a)
▶39.0%
#s(literal 1/2 binary64)
Compiler

Compiled 339 to 248 computations (26.8% saved)

simplify503.0ms (5.1%)

Memory
-43.5MiB live, 203.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓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))))
✓cost-diff0
(fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))
✓cost-diff0
(*.f64 b b)
✓cost-diff0
(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))
✓cost-diff0
(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))
✓cost-diff0
(*.f64 a a)
✓cost-diff0
(fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))
✓cost-diff0
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
✓cost-diff0
(-.f64 b a)
✓cost-diff0
(exp.f64 (-.f64 b a))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
Rules
4 436×accelerator-lowering-fma.f32
4 436×accelerator-lowering-fma.f64
1 472×*-lowering-*.f32
1 472×*-lowering-*.f64
772×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029114
175114
2176114
3308114
4480114
5696114
6767114
71025114
82436114
93007114
103560114
113809114
123949114
134004114
144139114
154191114
164193114
174193114
184194114
04194105
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp (- b a))))
1
(+ 1 (exp (- b a)))
(exp (- b a))
(- b a)
b
a
1/2
(+ (* a (+ (* -1/48 (* a a)) 1/4)) 1/2)
a
(+ (* -1/48 (* a a)) 1/4)
-1/48
(* a a)
1/4
1/2
(+ (* b (+ (* (* b b) (+ (* (* b b) -1/480) 1/48)) -1/4)) 1/2)
b
(+ (* (* b b) (+ (* (* b b) -1/480) 1/48)) -1/4)
(* b b)
(+ (* (* b b) -1/480) 1/48)
-1/480
1/48
-1/4
1/2
(/ 1 (+ 1 (exp (neg a))))
1
(+ 1 (exp (neg a)))
(exp (neg a))
(neg a)
a
Outputs
(/ 1 (+ 1 (exp (- b a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
1
#s(literal 1 binary64)
(+ 1 (exp (- b a)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(exp (- b a))
(exp.f64 (-.f64 b a))
(- b a)
(-.f64 b a)
b
a
1/2
#s(literal 1/2 binary64)
(+ (* a (+ (* -1/48 (* a a)) 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
(+ (* -1/48 (* a a)) 1/4)
(fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))
-1/48
#s(literal -1/48 binary64)
(* a a)
(*.f64 a a)
1/4
#s(literal 1/4 binary64)
1/2
#s(literal 1/2 binary64)
(+ (* b (+ (* (* b b) (+ (* (* b b) -1/480) 1/48)) -1/4)) 1/2)
(fma.f64 b (fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
b
(+ (* (* b b) (+ (* (* b b) -1/480) 1/48)) -1/4)
(fma.f64 b (*.f64 b (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64))) #s(literal -1/4 binary64))
(* b b)
(*.f64 b b)
(+ (* (* b b) -1/480) 1/48)
(fma.f64 b (*.f64 b #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)
(/ 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

localize123.0ms (1.2%)

Memory
25.6MiB live, 134.4MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓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))))
✓accuracy100.0%
(*.f64 b b)
✓accuracy100.0%
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
✓accuracy100.0%
(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))
✓accuracy99.9%
(fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))
✓accuracy100.0%
(*.f64 a a)
✓accuracy100.0%
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
✓accuracy99.9%
(fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64))
✓accuracy100.0%
(-.f64 b a)
✓accuracy100.0%
(exp.f64 (-.f64 b a))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
Samples
64.0ms256×0valid
Compiler

Compiled 107 to 31 computations (71% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-add: 18.0ms (37.1% of total)
ival-mult: 10.0ms (20.6% of total)
const: 10.0ms (20.6% of total)
ival-exp: 4.0ms (8.2% of total)
ival-div: 3.0ms (6.2% of total)
ival-sub: 2.0ms (4.1% of total)
exact: 1.0ms (2.1% of total)
ival-neg: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory
-13.1MiB live, 21.8MiB allocated
Counts
15 → 228
Calls
Call 1
Inputs
#<alt (/ 1 (+ 1 (exp (- b a))))>
#<alt (+ 1 (exp (- b a)))>
#<alt (exp (- b a))>
#<alt (- b a)>
#<alt (+ (* a (+ (* -1/48 (* a a)) 1/4)) 1/2)>
#<alt (+ (* -1/48 (* a a)) 1/4)>
#<alt (* a a)>
#<alt (+ (* b (+ (* (* b b) (+ (* (* b b) -1/480) 1/48)) -1/4)) 1/2)>
#<alt (+ (* (* b b) (+ (* (* b b) -1/480) 1/48)) -1/4)>
#<alt (* b b)>
#<alt (+ (* (* b b) -1/480) 1/48)>
#<alt (/ 1 (+ 1 (exp (neg a))))>
#<alt (+ 1 (exp (neg a)))>
#<alt (exp (neg a))>
#<alt (neg a)>
Outputs
#<alt (/ 1 (+ 1 (exp (neg a))))>
#<alt (+ (* -1 (/ (* b (exp (neg a))) (pow (+ 1 (exp (neg a))) 2))) (/ 1 (+ 1 (exp (neg a)))))>
#<alt (+ (* b (- (* -1 (* b (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))))) (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))) (/ 1 (+ 1 (exp (neg a)))))>
#<alt (+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))))) (+ 1 (exp (neg a))))) (+ (* -1/2 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/6 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))))))) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))))) (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))) (/ 1 (+ 1 (exp (neg a)))))>
#<alt (/ 1 (+ 1 (exp (- b a))))>
#<alt (/ 1 (+ 1 (exp (- b a))))>
#<alt (/ 1 (+ 1 (exp (- b a))))>
#<alt (/ 1 (+ 1 (exp (- b a))))>
#<alt (/ 1 (+ 1 (exp (neg (+ a (* -1 b))))))>
#<alt (/ 1 (+ 1 (exp (neg (+ a (* -1 b))))))>
#<alt (/ 1 (+ 1 (exp (neg (+ a (* -1 b))))))>
#<alt (/ 1 (+ 1 (exp (neg (+ a (* -1 b))))))>
#<alt (/ 1 (+ 1 (exp b)))>
#<alt (+ (/ 1 (+ 1 (exp b))) (/ (* a (exp b)) (pow (+ 1 (exp b)) 2)))>
#<alt (+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2)))))) (* -1 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))>
#<alt (+ (* a (- (* a (- (* -1 (* a (+ (* -1/6 (/ (exp b) (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (/ (* (exp b) (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (+ 1 (exp b))))))) (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2)))))) (* -1 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))>
#<alt (/ 1 (+ 1 (exp (- b a))))>
#<alt (/ 1 (+ 1 (exp (- b a))))>
#<alt (/ 1 (+ 1 (exp (- b a))))>
#<alt (/ 1 (+ 1 (exp (- b a))))>
#<alt (/ 1 (+ 1 (exp (+ b (* -1 a)))))>
#<alt (/ 1 (+ 1 (exp (+ b (* -1 a)))))>
#<alt (/ 1 (+ 1 (exp (+ b (* -1 a)))))>
#<alt (/ 1 (+ 1 (exp (+ b (* -1 a)))))>
#<alt (+ 1 (exp (neg a)))>
#<alt (+ 1 (+ (exp (neg a)) (* b (exp (neg a)))))>
#<alt (+ 1 (+ (exp (neg a)) (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a))))))))>
#<alt (+ 1 (+ (exp (neg a)) (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a)))))))))>
#<alt (+ 1 (exp (- b a)))>
#<alt (+ 1 (exp (- b a)))>
#<alt (+ 1 (exp (- b a)))>
#<alt (+ 1 (exp (- b a)))>
#<alt (+ 1 (exp (neg (+ a (* -1 b)))))>
#<alt (+ 1 (exp (neg (+ a (* -1 b)))))>
#<alt (+ 1 (exp (neg (+ a (* -1 b)))))>
#<alt (+ 1 (exp (neg (+ a (* -1 b)))))>
#<alt (+ 1 (exp b))>
#<alt (+ 1 (+ (exp b) (* -1 (* a (exp b)))))>
#<alt (+ 1 (+ (exp b) (* a (+ (* -1 (exp b)) (* 1/2 (* a (exp b)))))))>
#<alt (+ 1 (+ (exp b) (* a (+ (* -1 (exp b)) (* a (+ (* -1/6 (* a (exp b))) (* 1/2 (exp b))))))))>
#<alt (+ 1 (exp (- b a)))>
#<alt (+ 1 (exp (- b a)))>
#<alt (+ 1 (exp (- b a)))>
#<alt (+ 1 (exp (- b a)))>
#<alt (+ 1 (exp (+ b (* -1 a))))>
#<alt (+ 1 (exp (+ b (* -1 a))))>
#<alt (+ 1 (exp (+ b (* -1 a))))>
#<alt (+ 1 (exp (+ b (* -1 a))))>
#<alt (exp (neg a))>
#<alt (+ (exp (neg a)) (* b (exp (neg a))))>
#<alt (+ (exp (neg a)) (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))))>
#<alt (+ (exp (neg a)) (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))))>
#<alt (exp (- b a))>
#<alt (exp (- b a))>
#<alt (exp (- b a))>
#<alt (exp (- b a))>
#<alt (exp (neg (+ a (* -1 b))))>
#<alt (exp (neg (+ a (* -1 b))))>
#<alt (exp (neg (+ a (* -1 b))))>
#<alt (exp (neg (+ a (* -1 b))))>
#<alt (exp b)>
#<alt (+ (exp b) (* -1 (* a (exp b))))>
#<alt (+ (exp b) (* a (+ (* -1 (exp b)) (* 1/2 (* a (exp b))))))>
#<alt (+ (exp b) (* a (+ (* -1 (exp b)) (* a (+ (* -1/6 (* a (exp b))) (* 1/2 (exp b)))))))>
#<alt (exp (- b a))>
#<alt (exp (- b a))>
#<alt (exp (- b a))>
#<alt (exp (- b a))>
#<alt (exp (+ b (* -1 a)))>
#<alt (exp (+ b (* -1 a)))>
#<alt (exp (+ b (* -1 a)))>
#<alt (exp (+ b (* -1 a)))>
#<alt (* -1 a)>
#<alt (- b a)>
#<alt (- b a)>
#<alt (- b a)>
#<alt b>
#<alt (* b (+ 1 (* -1 (/ a b))))>
#<alt (* b (+ 1 (* -1 (/ a b))))>
#<alt (* b (+ 1 (* -1 (/ a b))))>
#<alt b>
#<alt (* -1 (* b (- (/ a b) 1)))>
#<alt (* -1 (* b (- (/ a b) 1)))>
#<alt (* -1 (* b (- (/ a b) 1)))>
#<alt b>
#<alt (+ b (* -1 a))>
#<alt (+ b (* -1 a))>
#<alt (+ b (* -1 a))>
#<alt (* -1 a)>
#<alt (* a (- (/ b a) 1))>
#<alt (* a (- (/ b a) 1))>
#<alt (* a (- (/ b a) 1))>
#<alt (* -1 a)>
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))>
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))>
#<alt (* -1 (* a (+ 1 (* -1 (/ b a)))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))>
#<alt (+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))>
#<alt (* -1/48 (pow a 3))>
#<alt (* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))>
#<alt (* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))>
#<alt (* -1/48 (pow a 3))>
#<alt (* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))>
#<alt (* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))>
#<alt 1/4>
#<alt (+ 1/4 (* -1/48 (pow a 2)))>
#<alt (+ 1/4 (* -1/48 (pow a 2)))>
#<alt (+ 1/4 (* -1/48 (pow a 2)))>
#<alt (* -1/48 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* -1/48 (pow a 2))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt (pow a 2)>
#<alt 1/2>
#<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 (* -1/480 (pow b 5))>
#<alt (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* (pow b 5) (- (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* -1/480 (pow b 5))>
#<alt (* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))>
#<alt (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))>
#<alt (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))))))>
#<alt -1/4>
#<alt (- (* 1/48 (pow b 2)) 1/4)>
#<alt (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)>
#<alt (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)>
#<alt (* -1/480 (pow b 4))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* -1/480 (pow b 4))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt (pow b 2)>
#<alt 1/48>
#<alt (+ 1/48 (* -1/480 (pow b 2)))>
#<alt (+ 1/48 (* -1/480 (pow b 2)))>
#<alt (+ 1/48 (* -1/480 (pow b 2)))>
#<alt (* -1/480 (pow b 2))>
#<alt (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* -1/480 (pow b 2))>
#<alt (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<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)>
Calls

57 calls:

TimeVariablePointExpression
4.0ms
b
@inf
(+ (* b (+ (* (* b b) (+ (* (* b b) -1/480) 1/48)) -1/4)) 1/2)
1.0ms
b
@0
(/ 1 (+ 1 (exp (- b a))))
1.0ms
a
@0
(/ 1 (+ 1 (exp (- b a))))
1.0ms
b
@-inf
(/ 1 (+ 1 (exp (- b a))))
1.0ms
b
@inf
(/ 1 (+ 1 (exp (- b a))))

rewrite306.0ms (3.1%)

Memory
21.9MiB live, 607.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 720×*-lowering-*.f32
4 720×*-lowering-*.f64
4 506×/-lowering-/.f32
4 506×/-lowering-/.f64
3 172×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02999
118899
2147399
0835590
Stop Event
1×iter limit
1×node limit
Counts
15 → 467
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp (- b a))))
(+ 1 (exp (- b a)))
(exp (- b a))
(- b a)
(+ (* a (+ (* -1/48 (* a a)) 1/4)) 1/2)
(+ (* -1/48 (* a a)) 1/4)
(* a a)
(+ (* b (+ (* (* b b) (+ (* (* b b) -1/480) 1/48)) -1/4)) 1/2)
(+ (* (* b b) (+ (* (* b b) -1/480) 1/48)) -1/4)
(* b b)
(+ (* (* b b) -1/480) 1/48)
(/ 1 (+ 1 (exp (neg a))))
(+ 1 (exp (neg a)))
(exp (neg a))
(neg a)
Outputs
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 b a))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))))) (/.f64 (exp.f64 (-.f64 b a)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))))) (/.f64 (exp.f64 (-.f64 b a)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))))
(/.f64 (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a))) #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a))))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a))) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (exp.f64 (-.f64 b a))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal -1/2 binary64))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 b a)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))))) (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 b a))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (/.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal 1 binary64)) (/.f64 (/.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) (/.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))))
(-.f64 (/.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (expm1.f64 (-.f64 b a))) (/.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 b a))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)) #s(literal 1 binary64))
(fma.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (exp.f64 (neg.f64 a)) (exp.f64 b) #s(literal 1 binary64))
(fma.f64 (exp.f64 b) (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (-.f64 b a)) (expm1.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64)))) (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))) #s(literal 1 binary64))
(/.f64 (expm1.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (expm1.f64 (-.f64 b a)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 (+.f64 (-.f64 b a) (-.f64 b a)) #s(literal 3 binary64))) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64))))) (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 (-.f64 b a) (-.f64 b a)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64)))) (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (+.f64 (-.f64 b a) (-.f64 b a)) #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (+.f64 (-.f64 b a) (-.f64 b a)) (+.f64 (-.f64 b a) (-.f64 b a)))) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 (+.f64 (-.f64 b a) (-.f64 b a)) (+.f64 (-.f64 b a) (-.f64 b a))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))) (neg.f64 (expm1.f64 (-.f64 b a))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (fma.f64 (/.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (/.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (/.f64 (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 b a) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(exp.f64 (-.f64 b a))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (-.f64 a b)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) (*.f64 #s(literal 1 binary64) (exp.f64 b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 a b))))
(/.f64 (exp.f64 b) (exp.f64 a))
(/.f64 (neg.f64 (exp.f64 b)) (neg.f64 (exp.f64 a)))
(/.f64 (*.f64 #s(literal 1 binary64) (exp.f64 b)) (exp.f64 a))
(/.f64 (exp.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b b (*.f64 a (+.f64 b a))))) (exp.f64 (/.f64 (*.f64 a (*.f64 a a)) (fma.f64 b b (*.f64 a (+.f64 b a))))))
(/.f64 (exp.f64 (/.f64 (*.f64 b b) (+.f64 b a))) (exp.f64 (/.f64 (*.f64 a a) (+.f64 b a))))
(/.f64 (exp.f64 (+.f64 b #s(literal 0 binary64))) (exp.f64 a))
(/.f64 (neg.f64 (neg.f64 (exp.f64 b))) (neg.f64 (neg.f64 (exp.f64 a))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (exp.f64 b))) (neg.f64 (exp.f64 a)))
(pow.f64 (exp.f64 (-.f64 a b)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (+.f64 b a)))))
(pow.f64 (exp.f64 (*.f64 (+.f64 b a) (-.f64 b a))) (/.f64 #s(literal 1 binary64) (+.f64 b a)))
(*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(*.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64))
(*.f64 (exp.f64 (neg.f64 a)) (exp.f64 b))
(*.f64 (exp.f64 b) (exp.f64 (neg.f64 a)))
(log.f64 (exp.f64 (-.f64 b a)))
(+.f64 b (neg.f64 a))
(+.f64 (-.f64 b a) #s(literal 0 binary64))
(+.f64 (neg.f64 a) b)
(+.f64 #s(literal 0 binary64) (-.f64 b a))
(+.f64 (log.f64 (exp.f64 b)) (neg.f64 a))
(-.f64 b a)
(-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 (-.f64 a b))))
(-.f64 (/.f64 (*.f64 b (*.f64 b b)) (fma.f64 b b (*.f64 a (+.f64 b a)))) (/.f64 (*.f64 a (*.f64 a a)) (fma.f64 b b (*.f64 a (+.f64 b a)))))
(-.f64 (/.f64 (*.f64 b b) (+.f64 b a)) (/.f64 (*.f64 a a) (+.f64 b a)))
(-.f64 (+.f64 b #s(literal 0 binary64)) a)
(-.f64 (log.f64 (exp.f64 b)) (log.f64 (exp.f64 a)))
(-.f64 (log.f64 (neg.f64 (exp.f64 b))) (log.f64 (neg.f64 (exp.f64 a))))
(-.f64 (log.f64 (*.f64 #s(literal 1 binary64) (exp.f64 b))) (log.f64 (exp.f64 a)))
(-.f64 (/.f64 (*.f64 b b) (-.f64 b (neg.f64 a))) (/.f64 (*.f64 a a) (-.f64 b (neg.f64 a))))
(fma.f64 a #s(literal -1 binary64) b)
(fma.f64 a (log.f64 (exp.f64 #s(literal -1 binary64))) b)
(fma.f64 #s(literal -1 binary64) a b)
(fma.f64 #s(literal -1 binary64) (log.f64 (exp.f64 a)) b)
(fma.f64 (*.f64 (fma.f64 b b (*.f64 a (+.f64 b a))) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (fma.f64 b b (*.f64 a (+.f64 b a)))) #s(literal 0 binary64))
(fma.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (/.f64 #s(literal 1 binary64) (+.f64 b a)) #s(literal 0 binary64))
(neg.f64 (log.f64 (exp.f64 (-.f64 a b))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 b a)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 b a)) #s(literal 1 binary64)))
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(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) a))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))))
(/.f64 (neg.f64 (expm1.f64 (-.f64 (neg.f64 a) a))) (neg.f64 (expm1.f64 (neg.f64 a))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (fma.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (/.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (/.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))))))
(pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (neg.f64 a) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (neg.f64 a)) (expm1.f64 (neg.f64 a)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (neg.f64 a) a))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(exp.f64 (neg.f64 a))
(exp.f64 (*.f64 (log.f64 (exp.f64 a)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) a))
(/.f64 #s(literal 1 binary64) (exp.f64 a))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 a) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 a))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 a)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (exp.f64 a) #s(literal 1 binary64))))
(pow.f64 (exp.f64 a) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) a)
(pow.f64 (/.f64 (exp.f64 a) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))
(*.f64 (exp.f64 (neg.f64 a)) #s(literal 1 binary64))
(log.f64 (exp.f64 (neg.f64 a)))
(+.f64 (neg.f64 a) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 a))
(-.f64 #s(literal 0 binary64) a)
(-.f64 #s(literal 0 binary64) (log.f64 (exp.f64 a)))
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (exp.f64 a) #s(literal 1 binary64))))
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (exp.f64 a))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))) (/.f64 (*.f64 a (*.f64 a a)) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) a)) (/.f64 (*.f64 a a) (+.f64 #s(literal 0 binary64) a)))
(fma.f64 a #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 a (log.f64 (exp.f64 #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) a #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (log.f64 (exp.f64 a)) #s(literal 0 binary64))
(neg.f64 a)
(neg.f64 (log.f64 (exp.f64 a)))
(neg.f64 (log.f64 (/.f64 (exp.f64 a) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))) (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) a) (-.f64 #s(literal 0 binary64) (*.f64 a a))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a))) (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a)) (+.f64 #s(literal 0 binary64) a))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a (*.f64 a a)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 a a (*.f64 #s(literal 0 binary64) a)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 a a))) (neg.f64 (+.f64 #s(literal 0 binary64) a)))
(/.f64 (+.f64 #s(literal 0 binary64) (neg.f64 (*.f64 a (*.f64 a a)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 a a) (*.f64 #s(literal 0 binary64) (neg.f64 a)))))
(*.f64 a #s(literal -1 binary64))
(*.f64 a (log.f64 (exp.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) a)
(*.f64 #s(literal -1 binary64) (log.f64 (exp.f64 a)))

simplify367.0ms (3.7%)

Memory
-11.2MiB live, 583.9MiB allocated
Algorithm
1×egg-herbie
Rules
7 750×accelerator-lowering-fma.f32
7 750×accelerator-lowering-fma.f64
4 164×*-lowering-*.f32
4 164×*-lowering-*.f64
2 982×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02411914
16841861
221651819
368071813
081551751
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
Calls
Call 1
Inputs
(/ 1 (+ 1 (exp (neg a))))
(+ (* -1 (/ (* b (exp (neg a))) (pow (+ 1 (exp (neg a))) 2))) (/ 1 (+ 1 (exp (neg a)))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))))) (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))) (/ 1 (+ 1 (exp (neg a)))))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))))) (+ 1 (exp (neg a))))) (+ (* -1/2 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/6 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))))))) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))))) (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))) (/ 1 (+ 1 (exp (neg a)))))
(/ 1 (+ 1 (exp (- b a))))
(/ 1 (+ 1 (exp (- b a))))
(/ 1 (+ 1 (exp (- b a))))
(/ 1 (+ 1 (exp (- b a))))
(/ 1 (+ 1 (exp (neg (+ a (* -1 b))))))
(/ 1 (+ 1 (exp (neg (+ a (* -1 b))))))
(/ 1 (+ 1 (exp (neg (+ a (* -1 b))))))
(/ 1 (+ 1 (exp (neg (+ a (* -1 b))))))
(/ 1 (+ 1 (exp b)))
(+ (/ 1 (+ 1 (exp b))) (/ (* a (exp b)) (pow (+ 1 (exp b)) 2)))
(+ (* a (- (* -1 (* a (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2)))))) (* -1 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))
(+ (* a (- (* a (- (* -1 (* a (+ (* -1/6 (/ (exp b) (pow (+ 1 (exp b)) 2))) (+ (* 1/2 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (/ (* (exp b) (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (+ 1 (exp b))))))) (+ (* -1 (/ (pow (exp b) 2) (pow (+ 1 (exp b)) 3))) (* 1/2 (/ (exp b) (pow (+ 1 (exp b)) 2)))))) (* -1 (/ (exp b) (pow (+ 1 (exp b)) 2))))) (/ 1 (+ 1 (exp b))))
(/ 1 (+ 1 (exp (- b a))))
(/ 1 (+ 1 (exp (- b a))))
(/ 1 (+ 1 (exp (- b a))))
(/ 1 (+ 1 (exp (- b a))))
(/ 1 (+ 1 (exp (+ b (* -1 a)))))
(/ 1 (+ 1 (exp (+ b (* -1 a)))))
(/ 1 (+ 1 (exp (+ b (* -1 a)))))
(/ 1 (+ 1 (exp (+ b (* -1 a)))))
(+ 1 (exp (neg a)))
(+ 1 (+ (exp (neg a)) (* b (exp (neg a)))))
(+ 1 (+ (exp (neg a)) (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a))))))))
(+ 1 (+ (exp (neg a)) (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a)))))))))
(+ 1 (exp (- b a)))
(+ 1 (exp (- b a)))
(+ 1 (exp (- b a)))
(+ 1 (exp (- b a)))
(+ 1 (exp (neg (+ a (* -1 b)))))
(+ 1 (exp (neg (+ a (* -1 b)))))
(+ 1 (exp (neg (+ a (* -1 b)))))
(+ 1 (exp (neg (+ a (* -1 b)))))
(+ 1 (exp b))
(+ 1 (+ (exp b) (* -1 (* a (exp b)))))
(+ 1 (+ (exp b) (* a (+ (* -1 (exp b)) (* 1/2 (* a (exp b)))))))
(+ 1 (+ (exp b) (* a (+ (* -1 (exp b)) (* a (+ (* -1/6 (* a (exp b))) (* 1/2 (exp b))))))))
(+ 1 (exp (- b a)))
(+ 1 (exp (- b a)))
(+ 1 (exp (- b a)))
(+ 1 (exp (- b a)))
(+ 1 (exp (+ b (* -1 a))))
(+ 1 (exp (+ b (* -1 a))))
(+ 1 (exp (+ b (* -1 a))))
(+ 1 (exp (+ b (* -1 a))))
(exp (neg a))
(+ (exp (neg a)) (* b (exp (neg a))))
(+ (exp (neg a)) (* b (+ (exp (neg a)) (* 1/2 (* b (exp (neg a)))))))
(+ (exp (neg a)) (* b (+ (exp (neg a)) (* b (+ (* 1/6 (* b (exp (neg a)))) (* 1/2 (exp (neg a))))))))
(exp (- b a))
(exp (- b a))
(exp (- b a))
(exp (- b a))
(exp (neg (+ a (* -1 b))))
(exp (neg (+ a (* -1 b))))
(exp (neg (+ a (* -1 b))))
(exp (neg (+ a (* -1 b))))
(exp b)
(+ (exp b) (* -1 (* a (exp b))))
(+ (exp b) (* a (+ (* -1 (exp b)) (* 1/2 (* a (exp b))))))
(+ (exp b) (* a (+ (* -1 (exp b)) (* a (+ (* -1/6 (* a (exp b))) (* 1/2 (exp b)))))))
(exp (- b a))
(exp (- b a))
(exp (- b a))
(exp (- b a))
(exp (+ b (* -1 a)))
(exp (+ b (* -1 a)))
(exp (+ b (* -1 a)))
(exp (+ b (* -1 a)))
(* -1 a)
(- b a)
(- b a)
(- b a)
b
(* b (+ 1 (* -1 (/ a b))))
(* b (+ 1 (* -1 (/ a b))))
(* b (+ 1 (* -1 (/ a b))))
b
(* -1 (* b (- (/ a b) 1)))
(* -1 (* b (- (/ a b) 1)))
(* -1 (* b (- (/ a b) 1)))
b
(+ b (* -1 a))
(+ b (* -1 a))
(+ b (* -1 a))
(* -1 a)
(* a (- (/ b a) 1))
(* a (- (/ b a) 1))
(* a (- (/ b a) 1))
(* -1 a)
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
(* -1 (* a (+ 1 (* -1 (/ b a)))))
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(+ 1/2 (* a (+ 1/4 (* -1/48 (pow a 2)))))
(* -1/48 (pow a 3))
(* (pow a 3) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(* (pow a 3) (- (+ (/ 1/2 (pow a 3)) (* 1/4 (/ 1 (pow a 2)))) 1/48))
(* -1/48 (pow a 3))
(* -1 (* (pow a 3) (- 1/48 (* 1/4 (/ 1 (pow a 2))))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
(* -1 (* (pow a 3) (+ 1/48 (* -1 (/ (+ 1/4 (* 1/2 (/ 1 a))) (pow a 2))))))
1/4
(+ 1/4 (* -1/48 (pow a 2)))
(+ 1/4 (* -1/48 (pow a 2)))
(+ 1/4 (* -1/48 (pow a 2)))
(* -1/48 (pow a 2))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* -1/48 (pow a 2))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(* (pow a 2) (- (* 1/4 (/ 1 (pow a 2))) 1/48))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
1/2
(+ 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)))
(* -1/480 (pow b 5))
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* (pow b 5) (- (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* -1/480 (pow b 5))
(* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))
(* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))
(* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))))))
-1/4
(- (* 1/48 (pow b 2)) 1/4)
(- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)
(- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)
(* -1/480 (pow b 4))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* -1/480 (pow b 4))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
1/48
(+ 1/48 (* -1/480 (pow b 2)))
(+ 1/48 (* -1/480 (pow b 2)))
(+ 1/48 (* -1/480 (pow b 2)))
(* -1/480 (pow b 2))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* -1/480 (pow b 2))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
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)
Outputs
(/ 1 (+ 1 (exp (neg a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(+ (* -1 (/ (* b (exp (neg a))) (pow (+ 1 (exp (neg a))) 2))) (/ 1 (+ 1 (exp (neg a)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (/.f64 b (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 2 binary64)) (exp.f64 a))))
(+ (* b (- (* -1 (* b (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))))) (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))) (/ 1 (+ 1 (exp (neg a)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (*.f64 (fma.f64 b (*.f64 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (neg.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 2 binary64)))) b))
(+ (* b (- (* b (- (* -1 (* b (+ (* -1 (/ (* (exp (neg a)) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))))) (+ 1 (exp (neg a))))) (+ (* -1/2 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/6 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2))))))) (+ (* -1 (/ (pow (exp (neg a)) 2) (pow (+ 1 (exp (neg a))) 3))) (* 1/2 (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))))) (/ (exp (neg a)) (pow (+ 1 (exp (neg a))) 2)))) (/ 1 (+ 1 (exp (neg a)))))
(fma.f64 b (-.f64 (/.f64 (neg.f64 (exp.f64 (neg.f64 a))) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 2 binary64))) (*.f64 (fma.f64 b (fma.f64 (*.f64 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (neg.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))) (/.f64 (exp.f64 (neg.f64 a)) (-.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 a)))) (fma.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (/.f64 #s(literal -1/2 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 2 binary64)) (exp.f64 a))))) (*.f64 (/.f64 (exp.f64 (neg.f64 a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 (exp.f64 (neg.f64 a)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))))) b)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(/ 1 (+ 1 (exp (- b a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (exp (- b a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (exp (- b a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (exp (- b a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (exp (neg (+ a (* -1 b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (exp (neg (+ a (* -1 b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (exp (neg (+ a (* -1 b))))))
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(*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b))))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b))))))
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
1/48
#s(literal 1/48 binary64)
(+ 1/48 (* -1/480 (pow b 2)))
(fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64))
(+ 1/48 (* -1/480 (pow b 2)))
(fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64))
(+ 1/48 (* -1/480 (pow b 2)))
(fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64))
(* -1/480 (pow b 2))
(*.f64 (*.f64 b b) #s(literal -1/480 binary64))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 (*.f64 b b) (-.f64 #s(literal -1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 b b))))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 (*.f64 b b) (-.f64 #s(literal -1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 b b))))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 (*.f64 b b) (-.f64 #s(literal -1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 b b))))
(* -1/480 (pow b 2))
(*.f64 (*.f64 b b) #s(literal -1/480 binary64))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 (*.f64 b b) (-.f64 #s(literal -1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 b b))))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 (*.f64 b b) (-.f64 #s(literal -1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 b b))))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 (*.f64 b b) (-.f64 #s(literal -1/480 binary64) (/.f64 #s(literal -1/48 binary64) (*.f64 b 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))
(/ 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 a #s(literal 1/2 binary64) #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 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))
(* -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)

eval88.0ms (0.9%)

Memory
21.5MiB live, 172.6MiB allocated
Compiler

Compiled 16 108 to 2 020 computations (87.5% saved)

prune91.0ms (0.9%)

Memory
10.9MiB live, 226.4MiB allocated
Pruning

26 alts after pruning (19 fresh and 7 done)

PrunedKeptTotal
New7049713
Fresh21012
Picked055
Done022
Total70626732
Accuracy
100.0%
Counts
732 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.7%
(fma.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
✓36.5%
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
36.0%
(fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
8.6%
(fma.f64 b (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))))) #s(literal 1/2 binary64))
36.8%
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
39.8%
(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))
✓39.7%
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
▶39.6%
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
81.6%
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (exp.f64 a) (exp.f64 b)))
✓68.2%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
56.1%
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
▶51.6%
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
59.5%
(/.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)))
54.1%
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))
40.3%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
37.0%
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
▶100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b)))))
✓99.9%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
✓68.2%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
✓81.3%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
▶36.5%
(+.f64 (*.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))
24.1%
(+.f64 (exp.f64 b) #s(literal 1 binary64))
▶16.2%
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
81.3%
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
52.8%
(exp.f64 a)
✓39.0%
#s(literal 1/2 binary64)
Compiler

Compiled 490 to 345 computations (29.6% saved)

simplify234.0ms (2.4%)

Memory
-4.4MiB live, 229.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)))
✓cost-diff0
(fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64))
✓cost-diff0
(*.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)))
✓cost-diff128
(+.f64 (*.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))
✓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
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
✓cost-diff0
(exp.f64 (-.f64 a b))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b)))))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b)))
Rules
4 464×accelerator-lowering-fma.f32
4 464×accelerator-lowering-fma.f64
1 580×*-lowering-*.f32
1 580×*-lowering-*.f64
764×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033154
183154
2168149
3384149
4914149
52616149
63653149
74275149
84480149
94564149
104598149
114682149
124715149
134717149
144717149
154717149
164718149
04718134
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ 1 (+ 1 (/ 1 (exp (- a b)))))
1
(+ 1 (/ 1 (exp (- a b))))
(/ 1 (exp (- a b)))
(exp (- a b))
(- a b)
a
b
(+ (* a 1/4) 1/2)
a
1/4
1/2
(* 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
(+ (* b (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4)) 1/2)
(* b (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4))
b
(+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4)
(* b (+ (* (* b b) -1/480) 1/48))
(+ (* (* b b) -1/480) 1/48)
(* b b)
-1/480
1/48
-1/4
1/2
Outputs
(/ 1 (+ 1 (/ 1 (exp (- a b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
1
#s(literal 1 binary64)
(+ 1 (/ 1 (exp (- a b))))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(/ 1 (exp (- a b)))
(exp.f64 (-.f64 b a))
(exp (- a b))
(exp.f64 (-.f64 a b))
(- a b)
(-.f64 a b)
a
b
(+ (* a 1/4) 1/2)
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
a
1/4
#s(literal 1/4 binary64)
1/2
#s(literal 1/2 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)
(+ (* b (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4)) 1/2)
(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))
(* b (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4))
(*.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)))
b
(+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4)
(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))
(* b (+ (* (* b b) -1/480) 1/48))
(*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)))
(+ (* (* b b) -1/480) 1/48)
(fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))
(* b b)
(*.f64 b b)
-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)

localize99.0ms (1%)

Memory
12.5MiB live, 167.6MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64)))
✓accuracy100.0%
(fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64))
✓accuracy100.0%
(fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))
✓accuracy99.7%
(*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)))
✓accuracy100.0%
(fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64))
✓accuracy100.0%
(fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
✓accuracy99.9%
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
✓accuracy99.9%
(*.f64 a (*.f64 a #s(literal -1/48 binary64)))
✓accuracy99.7%
(*.f64 a #s(literal -1/48 binary64))
✓accuracy100.0%
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
✓accuracy100.0%
(exp.f64 (-.f64 a b))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b))))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b)))
✓accuracy99.9%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b)))))
Samples
36.0ms137×0valid
27.0ms119×0exit
Compiler

Compiled 145 to 35 computations (75.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 20.0ms (44.1% of total)
const: 9.0ms (19.8% of total)
ival-add: 8.0ms (17.6% of total)
ival-div: 4.0ms (8.8% of total)
ival-exp: 2.0ms (4.4% of total)
ival-sub: 2.0ms (4.4% of total)
exact: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
-22.0MiB live, 16.1MiB allocated
Counts
16 → 240
Calls
Call 1
Inputs
#<alt (/ 1 (exp (- a b)))>
#<alt (/ 1 (+ 1 (/ 1 (exp (- a b)))))>
#<alt (+ 1 (/ 1 (exp (- a b))))>
#<alt (exp (- a b))>
#<alt (+ (* a 1/4) 1/2)>
#<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)>
#<alt (+ (* b (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4)) 1/2)>
#<alt (* b (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4))>
#<alt (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4)>
#<alt (* b (+ (* (* b b) -1/480) 1/48))>
#<alt (+ (* (* b b) -1/480) 1/48)>
Outputs
#<alt (/ 1 (exp (neg b)))>
#<alt (+ (* -1 (/ a (exp (neg b)))) (/ 1 (exp (neg b))))>
#<alt (+ (* a (- (* 1/2 (/ a (exp (neg b)))) (/ 1 (exp (neg b))))) (/ 1 (exp (neg b))))>
#<alt (+ (* a (- (* a (+ (* -1/6 (/ a (exp (neg b)))) (* 1/2 (/ 1 (exp (neg b)))))) (/ 1 (exp (neg b))))) (/ 1 (exp (neg b))))>
#<alt (/ 1 (exp (- a b)))>
#<alt (/ 1 (exp (- a b)))>
#<alt (/ 1 (exp (- a b)))>
#<alt (/ 1 (exp (- a b)))>
#<alt (/ 1 (exp (neg (+ b (* -1 a)))))>
#<alt (/ 1 (exp (neg (+ b (* -1 a)))))>
#<alt (/ 1 (exp (neg (+ b (* -1 a)))))>
#<alt (/ 1 (exp (neg (+ b (* -1 a)))))>
#<alt (/ 1 (exp a))>
#<alt (+ (/ 1 (exp a)) (/ b (exp a)))>
#<alt (+ (* b (+ (* 1/2 (/ b (exp a))) (/ 1 (exp a)))) (/ 1 (exp a)))>
#<alt (+ (* b (+ (* b (+ (* 1/6 (/ b (exp a))) (* 1/2 (/ 1 (exp a))))) (/ 1 (exp a)))) (/ 1 (exp a)))>
#<alt (/ 1 (exp (- a b)))>
#<alt (/ 1 (exp (- a b)))>
#<alt (/ 1 (exp (- a b)))>
#<alt (/ 1 (exp (- a b)))>
#<alt (/ 1 (exp (+ a (* -1 b))))>
#<alt (/ 1 (exp (+ a (* -1 b))))>
#<alt (/ 1 (exp (+ a (* -1 b))))>
#<alt (/ 1 (exp (+ a (* -1 b))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (neg b)))))>
#<alt (+ (/ 1 (+ 1 (/ 1 (exp (neg b))))) (/ a (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2))))>
#<alt (+ (* a (+ (* a (- (/ 1 (* (pow (exp (neg b)) 2) (pow (+ 1 (/ 1 (exp (neg b)))) 3))) (* 1/2 (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2)))))) (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2))))) (/ 1 (+ 1 (/ 1 (exp (neg b))))))>
#<alt (+ (* a (+ (* a (- (+ (* a (- (* 1/6 (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2)))) (+ (* -1 (/ (- (/ 1 (* (pow (exp (neg b)) 2) (pow (+ 1 (/ 1 (exp (neg b)))) 3))) (* 1/2 (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2))))) (* (exp (neg b)) (+ 1 (/ 1 (exp (neg b))))))) (* 1/2 (/ 1 (* (pow (exp (neg b)) 2) (pow (+ 1 (/ 1 (exp (neg b)))) 3))))))) (/ 1 (* (pow (exp (neg b)) 2) (pow (+ 1 (/ 1 (exp (neg b)))) 3)))) (* 1/2 (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2)))))) (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2))))) (/ 1 (+ 1 (/ 1 (exp (neg b))))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (- a b)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (- a b)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (- a b)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (- a b)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (neg (+ b (* -1 a)))))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (neg (+ b (* -1 a)))))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (neg (+ b (* -1 a)))))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (neg (+ b (* -1 a)))))))>
#<alt (/ 1 (+ 1 (/ 1 (exp a))))>
#<alt (+ (* -1 (/ b (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2)))) (/ 1 (+ 1 (/ 1 (exp a)))))>
#<alt (+ (* b (- (* b (- (/ 1 (* (pow (exp a) 2) (pow (+ 1 (/ 1 (exp a))) 3))) (* 1/2 (/ 1 (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2)))))) (/ 1 (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2))))) (/ 1 (+ 1 (/ 1 (exp a)))))>
#<alt (+ (* b (- (* b (- (+ (* b (- (/ 1 (* (pow (exp a) 2) (pow (+ 1 (/ 1 (exp a))) 3))) (+ (* 1/6 (/ 1 (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2)))) (/ 1 (* (pow (exp a) 3) (pow (+ 1 (/ 1 (exp a))) 4)))))) (/ 1 (* (pow (exp a) 2) (pow (+ 1 (/ 1 (exp a))) 3)))) (* 1/2 (/ 1 (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2)))))) (/ 1 (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2))))) (/ 1 (+ 1 (/ 1 (exp a)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (- a b)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (- a b)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (- a b)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (- a b)))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (+ a (* -1 b))))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (+ a (* -1 b))))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (+ a (* -1 b))))))>
#<alt (/ 1 (+ 1 (/ 1 (exp (+ a (* -1 b))))))>
#<alt (+ 1 (/ 1 (exp (neg b))))>
#<alt (+ 1 (+ (* -1 (/ a (exp (neg b)))) (/ 1 (exp (neg b)))))>
#<alt (+ 1 (+ (* a (- (* 1/2 (/ a (exp (neg b)))) (/ 1 (exp (neg b))))) (/ 1 (exp (neg b)))))>
#<alt (+ 1 (+ (* a (- (* a (+ (* -1/6 (/ a (exp (neg b)))) (* 1/2 (/ 1 (exp (neg b)))))) (/ 1 (exp (neg b))))) (/ 1 (exp (neg b)))))>
#<alt (+ 1 (/ 1 (exp (- a b))))>
#<alt (+ 1 (/ 1 (exp (- a b))))>
#<alt (+ 1 (/ 1 (exp (- a b))))>
#<alt (+ 1 (/ 1 (exp (- a b))))>
#<alt (+ 1 (/ 1 (exp (neg (+ b (* -1 a))))))>
#<alt (+ 1 (/ 1 (exp (neg (+ b (* -1 a))))))>
#<alt (+ 1 (/ 1 (exp (neg (+ b (* -1 a))))))>
#<alt (+ 1 (/ 1 (exp (neg (+ b (* -1 a))))))>
#<alt (+ 1 (/ 1 (exp a)))>
#<alt (+ 1 (+ (/ 1 (exp a)) (/ b (exp a))))>
#<alt (+ 1 (+ (* b (+ (* 1/2 (/ b (exp a))) (/ 1 (exp a)))) (/ 1 (exp a))))>
#<alt (+ 1 (+ (* b (+ (* b (+ (* 1/6 (/ b (exp a))) (* 1/2 (/ 1 (exp a))))) (/ 1 (exp a)))) (/ 1 (exp a))))>
#<alt (+ 1 (/ 1 (exp (- a b))))>
#<alt (+ 1 (/ 1 (exp (- a b))))>
#<alt (+ 1 (/ 1 (exp (- a b))))>
#<alt (+ 1 (/ 1 (exp (- a b))))>
#<alt (+ 1 (/ 1 (exp (+ a (* -1 b)))))>
#<alt (+ 1 (/ 1 (exp (+ a (* -1 b)))))>
#<alt (+ 1 (/ 1 (exp (+ a (* -1 b)))))>
#<alt (+ 1 (/ 1 (exp (+ a (* -1 b)))))>
#<alt (exp (neg b))>
#<alt (+ (exp (neg b)) (* a (exp (neg b))))>
#<alt (+ (exp (neg b)) (* a (+ (exp (neg b)) (* 1/2 (* a (exp (neg b)))))))>
#<alt (+ (exp (neg b)) (* a (+ (exp (neg b)) (* a (+ (* 1/6 (* a (exp (neg b)))) (* 1/2 (exp (neg b))))))))>
#<alt (exp (- a b))>
#<alt (exp (- a b))>
#<alt (exp (- a b))>
#<alt (exp (- a b))>
#<alt (exp (neg (+ b (* -1 a))))>
#<alt (exp (neg (+ b (* -1 a))))>
#<alt (exp (neg (+ b (* -1 a))))>
#<alt (exp (neg (+ b (* -1 a))))>
#<alt (exp a)>
#<alt (+ (exp a) (* -1 (* b (exp a))))>
#<alt (+ (exp a) (* b (+ (* -1 (exp a)) (* 1/2 (* b (exp a))))))>
#<alt (+ (exp a) (* b (+ (* -1 (exp a)) (* b (+ (* -1/6 (* b (exp a))) (* 1/2 (exp a)))))))>
#<alt (exp (- a b))>
#<alt (exp (- a b))>
#<alt (exp (- a b))>
#<alt (exp (- a b))>
#<alt (exp (+ a (* -1 b)))>
#<alt (exp (+ a (* -1 b)))>
#<alt (exp (+ a (* -1 b)))>
#<alt (exp (+ a (* -1 b)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (+ 1/2 (* 1/4 a))>
#<alt (* 1/4 a)>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* 1/4 a)>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* a (+ 1/4 (* 1/2 (/ 1 a))))>
#<alt (* -1/48 (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)))>
#<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 (* -1/480 (pow b 5))>
#<alt (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* (pow b 5) (- (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* -1/480 (pow b 5))>
#<alt (* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))>
#<alt (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))>
#<alt (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))))))>
#<alt (* -1/4 b)>
#<alt (* b (- (* 1/48 (pow b 2)) 1/4))>
#<alt (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))>
#<alt (* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))>
#<alt (* -1/480 (pow b 5))>
#<alt (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* -1/480 (pow b 5))>
#<alt (* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))>
#<alt (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))>
#<alt (* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))>
#<alt -1/4>
#<alt (- (* 1/48 (pow b 2)) 1/4)>
#<alt (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)>
#<alt (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)>
#<alt (* -1/480 (pow b 4))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* -1/480 (pow b 4))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))>
#<alt (* 1/48 b)>
#<alt (* b (+ 1/48 (* -1/480 (pow b 2))))>
#<alt (* b (+ 1/48 (* -1/480 (pow b 2))))>
#<alt (* b (+ 1/48 (* -1/480 (pow b 2))))>
#<alt (* -1/480 (pow b 3))>
#<alt (* (pow b 3) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 3) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 3) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* -1/480 (pow b 3))>
#<alt (* -1 (* (pow b 3) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))>
#<alt (* -1 (* (pow b 3) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))>
#<alt (* -1 (* (pow b 3) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))>
#<alt 1/48>
#<alt (+ 1/48 (* -1/480 (pow b 2)))>
#<alt (+ 1/48 (* -1/480 (pow b 2)))>
#<alt (+ 1/48 (* -1/480 (pow b 2)))>
#<alt (* -1/480 (pow b 2))>
#<alt (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* -1/480 (pow b 2))>
#<alt (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
#<alt (* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))>
Calls

60 calls:

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

rewrite285.0ms (2.9%)

Memory
2.3MiB live, 441.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 532×/-lowering-/.f32
4 532×/-lowering-/.f64
4 478×*-lowering-*.f32
4 478×*-lowering-*.f64
3 272×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033131
1202129
21484126
08149111
Stop Event
1×iter limit
1×node limit
Counts
16 → 444
Calls
Call 1
Inputs
(/ 1 (exp (- a b)))
(/ 1 (+ 1 (/ 1 (exp (- a b)))))
(+ 1 (/ 1 (exp (- a b))))
(exp (- a b))
(+ (* a 1/4) 1/2)
(* 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)
(+ (* b (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4)) 1/2)
(* b (+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4))
(+ (* b (* b (+ (* (* b b) -1/480) 1/48))) -1/4)
(* b (+ (* (* b b) -1/480) 1/48))
(+ (* (* b b) -1/480) 1/48)
Outputs
(exp.f64 (neg.f64 (-.f64 a b)))
(exp.f64 (-.f64 b a))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (-.f64 a b))))
(/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 (-.f64 a b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (-.f64 a b))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (exp.f64 (-.f64 a b))))))
(/.f64 (exp.f64 b) (exp.f64 a))
(/.f64 (neg.f64 (exp.f64 b)) (neg.f64 (exp.f64 a)))
(pow.f64 (exp.f64 (-.f64 a b)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (+.f64 (-.f64 a b) (-.f64 a b))) #s(literal -1/2 binary64))
(pow.f64 (neg.f64 (neg.f64 (exp.f64 (-.f64 a b)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (-.f64 a b))
(*.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(*.f64 (exp.f64 (-.f64 b a)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 (-.f64 a b))))
(*.f64 (exp.f64 (*.f64 (-.f64 a b) #s(literal -1/2 binary64))) (exp.f64 (*.f64 (-.f64 a b) #s(literal -1/2 binary64))))
(*.f64 (exp.f64 (neg.f64 a)) (exp.f64 b))
(*.f64 (exp.f64 (neg.f64 a)) (pow.f64 (exp.f64 (neg.f64 b)) #s(literal -1 binary64)))
(*.f64 (exp.f64 (neg.f64 a)) (exp.f64 (neg.f64 (neg.f64 b))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 (-.f64 b a))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64))))) (/.f64 (exp.f64 (-.f64 b a)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64))))))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 a b) #s(literal -3 binary64))))) (/.f64 (exp.f64 (-.f64 b a)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 a b) #s(literal -3 binary64))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))))))
(/.f64 (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 a b) #s(literal -3 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 a b) #s(literal -3 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 a b) #s(literal -2 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a))) #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 a b) #s(literal -3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a))) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a))))))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a))) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 a b) #s(literal -3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (-.f64 b a)) (expm1.f64 (-.f64 b a))))))
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(/.f64 (-.f64 (*.f64 (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/480 binary64))) (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))) (*.f64 (*.f64 b #s(literal 1/48 binary64)) (*.f64 b #s(literal 1/48 binary64)))) (-.f64 (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/480 binary64))) (*.f64 b #s(literal 1/48 binary64))))
(/.f64 (*.f64 b (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64)) #s(literal 1/110592 binary64))) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64) #s(literal 1/2304 binary64)) (*.f64 (*.f64 b b) #s(literal -1/23040 binary64))))
(/.f64 (*.f64 b (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64) #s(literal -1/2304 binary64))) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal -1/48 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64)) #s(literal 1/110592 binary64)) b) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64) #s(literal 1/2304 binary64)) (*.f64 (*.f64 b b) #s(literal -1/23040 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64) #s(literal -1/2304 binary64)) b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal -1/48 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64)) (*.f64 #s(literal 1/110592 binary64) (*.f64 b (*.f64 b b))))) (neg.f64 (fma.f64 (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/480 binary64))) (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/480 binary64))) (-.f64 (*.f64 (*.f64 b #s(literal 1/48 binary64)) (*.f64 b #s(literal 1/48 binary64))) (*.f64 (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/480 binary64))) (*.f64 b #s(literal 1/48 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/480 binary64))) (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))) (*.f64 (*.f64 b #s(literal 1/48 binary64)) (*.f64 b #s(literal 1/48 binary64))))) (neg.f64 (-.f64 (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/480 binary64))) (*.f64 b #s(literal 1/48 binary64)))))
(/.f64 (neg.f64 (*.f64 b (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64)) #s(literal 1/110592 binary64)))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64) #s(literal 1/2304 binary64)) (*.f64 (*.f64 b b) #s(literal -1/23040 binary64)))))
(/.f64 (neg.f64 (*.f64 b (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64) #s(literal -1/2304 binary64)))) (neg.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal -1/48 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64)) #s(literal 1/110592 binary64)) b)) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64) #s(literal 1/2304 binary64)) (*.f64 (*.f64 b b) #s(literal -1/23040 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64) #s(literal -1/2304 binary64)) b)) (neg.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal -1/48 binary64))))
(/.f64 (fma.f64 #s(literal 1/110592 binary64) (*.f64 b (*.f64 b b)) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64))) (*.f64 b (*.f64 b b)))) (fma.f64 (*.f64 b #s(literal 1/48 binary64)) (*.f64 b #s(literal 1/48 binary64)) (-.f64 (*.f64 (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/480 binary64))) (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))) (*.f64 (*.f64 b #s(literal 1/48 binary64)) (*.f64 b (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))))))
(*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)))
(*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) b)
(+.f64 (*.f64 (*.f64 b b) #s(literal -1/480 binary64)) #s(literal 1/48 binary64))
(+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal -1/48 binary64))) (/.f64 #s(literal 1/2304 binary64) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal -1/48 binary64))))
(-.f64 (/.f64 #s(literal 1/2304 binary64) (-.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)) (-.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))))
(fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64))
(fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))
(fma.f64 #s(literal -1/480 binary64) (*.f64 b b) #s(literal 1/48 binary64))
(fma.f64 (*.f64 b #s(literal -1/480 binary64)) b #s(literal 1/48 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2304 binary64) (-.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)) (*.f64 (*.f64 b b) #s(literal -1/23040 binary64)))) (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64)) #s(literal 1/110592 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))) (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)))))
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64)) #s(literal 1/110592 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64) #s(literal 1/2304 binary64)) (*.f64 (*.f64 b b) #s(literal -1/23040 binary64))))
(/.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64)) #s(literal 1/110592 binary64)) (+.f64 #s(literal 1/2304 binary64) (-.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)) (*.f64 (*.f64 b b) #s(literal -1/23040 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64) #s(literal -1/2304 binary64)) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal -1/48 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64)) #s(literal 1/110592 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64) #s(literal 1/2304 binary64)) (*.f64 (*.f64 b b) #s(literal -1/23040 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64)) #s(literal 1/110592 binary64))) (neg.f64 (+.f64 #s(literal 1/2304 binary64) (-.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)) (*.f64 (*.f64 b b) #s(literal -1/23040 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64) #s(literal -1/2304 binary64))) (neg.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal -1/48 binary64))))
(/.f64 (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64))) (-.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal -1/48 binary64))) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/2304 binary64))) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal -1/48 binary64)) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal -1/48 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64))) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64)))) #s(literal 1/1352605460594688 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64))) (-.f64 #s(literal 1/12230590464 binary64) (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))) #s(literal -1/12230590464000 binary64)))) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64) #s(literal 1/2304 binary64)) (*.f64 (*.f64 b b) #s(literal -1/23040 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64)))) #s(literal 1/12230590464 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64))) #s(literal 1/110592 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64) #s(literal 1/2304 binary64)) (*.f64 (*.f64 b b) #s(literal -1/23040 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64)))) #s(literal 1/12230590464 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)) (+.f64 #s(literal 1/5308416 binary64) (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)) #s(literal 1/2304 binary64)))) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal -1/48 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64))) #s(literal 1/5308416 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64) #s(literal 1/2304 binary64)) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal -1/48 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64)) #s(literal 1/110592 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64) #s(literal 1/2304 binary64)) (*.f64 (*.f64 b b) #s(literal -1/23040 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64) #s(literal -1/2304 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal -1/48 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/2304 binary64) (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)))) (neg.f64 (-.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)) (fma.f64 (*.f64 b b) #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 b b) #s(literal -1/480 binary64) #s(literal -1/48 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal -1/48 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal -1/48 binary64))) (fma.f64 (/.f64 #s(literal 1/2304 binary64) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal -1/48 binary64))) (/.f64 #s(literal 1/2304 binary64) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal -1/48 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64)) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal -1/48 binary64))) (/.f64 #s(literal 1/2304 binary64) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal -1/48 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) #s(literal -1/110592000 binary64)) #s(literal 1/110592 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64) #s(literal 1/2304 binary64)) (*.f64 (*.f64 b b) #s(literal -1/23040 binary64)))))
(*.f64 (fma.f64 (*.f64 (*.f64 b b) (*.f64 b b)) #s(literal 1/230400 binary64) #s(literal -1/2304 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal -1/48 binary64))))

simplify299.0ms (3%)

Memory
-16.7MiB live, 350.3MiB allocated
Algorithm
1×egg-herbie
Rules
6 246×accelerator-lowering-fma.f32
6 246×accelerator-lowering-fma.f64
4 052×*-lowering-*.f32
4 052×*-lowering-*.f64
3 082×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02772266
17862121
221632055
374782052
082391943
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
(/ 1 (exp (neg b)))
(+ (* -1 (/ a (exp (neg b)))) (/ 1 (exp (neg b))))
(+ (* a (- (* 1/2 (/ a (exp (neg b)))) (/ 1 (exp (neg b))))) (/ 1 (exp (neg b))))
(+ (* a (- (* a (+ (* -1/6 (/ a (exp (neg b)))) (* 1/2 (/ 1 (exp (neg b)))))) (/ 1 (exp (neg b))))) (/ 1 (exp (neg b))))
(/ 1 (exp (- a b)))
(/ 1 (exp (- a b)))
(/ 1 (exp (- a b)))
(/ 1 (exp (- a b)))
(/ 1 (exp (neg (+ b (* -1 a)))))
(/ 1 (exp (neg (+ b (* -1 a)))))
(/ 1 (exp (neg (+ b (* -1 a)))))
(/ 1 (exp (neg (+ b (* -1 a)))))
(/ 1 (exp a))
(+ (/ 1 (exp a)) (/ b (exp a)))
(+ (* b (+ (* 1/2 (/ b (exp a))) (/ 1 (exp a)))) (/ 1 (exp a)))
(+ (* b (+ (* b (+ (* 1/6 (/ b (exp a))) (* 1/2 (/ 1 (exp a))))) (/ 1 (exp a)))) (/ 1 (exp a)))
(/ 1 (exp (- a b)))
(/ 1 (exp (- a b)))
(/ 1 (exp (- a b)))
(/ 1 (exp (- a b)))
(/ 1 (exp (+ a (* -1 b))))
(/ 1 (exp (+ a (* -1 b))))
(/ 1 (exp (+ a (* -1 b))))
(/ 1 (exp (+ a (* -1 b))))
(/ 1 (+ 1 (/ 1 (exp (neg b)))))
(+ (/ 1 (+ 1 (/ 1 (exp (neg b))))) (/ a (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2))))
(+ (* a (+ (* a (- (/ 1 (* (pow (exp (neg b)) 2) (pow (+ 1 (/ 1 (exp (neg b)))) 3))) (* 1/2 (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2)))))) (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2))))) (/ 1 (+ 1 (/ 1 (exp (neg b))))))
(+ (* a (+ (* a (- (+ (* a (- (* 1/6 (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2)))) (+ (* -1 (/ (- (/ 1 (* (pow (exp (neg b)) 2) (pow (+ 1 (/ 1 (exp (neg b)))) 3))) (* 1/2 (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2))))) (* (exp (neg b)) (+ 1 (/ 1 (exp (neg b))))))) (* 1/2 (/ 1 (* (pow (exp (neg b)) 2) (pow (+ 1 (/ 1 (exp (neg b)))) 3))))))) (/ 1 (* (pow (exp (neg b)) 2) (pow (+ 1 (/ 1 (exp (neg b)))) 3)))) (* 1/2 (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2)))))) (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2))))) (/ 1 (+ 1 (/ 1 (exp (neg b))))))
(/ 1 (+ 1 (/ 1 (exp (- a b)))))
(/ 1 (+ 1 (/ 1 (exp (- a b)))))
(/ 1 (+ 1 (/ 1 (exp (- a b)))))
(/ 1 (+ 1 (/ 1 (exp (- a b)))))
(/ 1 (+ 1 (/ 1 (exp (neg (+ b (* -1 a)))))))
(/ 1 (+ 1 (/ 1 (exp (neg (+ b (* -1 a)))))))
(/ 1 (+ 1 (/ 1 (exp (neg (+ b (* -1 a)))))))
(/ 1 (+ 1 (/ 1 (exp (neg (+ b (* -1 a)))))))
(/ 1 (+ 1 (/ 1 (exp a))))
(+ (* -1 (/ b (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2)))) (/ 1 (+ 1 (/ 1 (exp a)))))
(+ (* b (- (* b (- (/ 1 (* (pow (exp a) 2) (pow (+ 1 (/ 1 (exp a))) 3))) (* 1/2 (/ 1 (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2)))))) (/ 1 (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2))))) (/ 1 (+ 1 (/ 1 (exp a)))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (pow (exp a) 2) (pow (+ 1 (/ 1 (exp a))) 3))) (+ (* 1/6 (/ 1 (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2)))) (/ 1 (* (pow (exp a) 3) (pow (+ 1 (/ 1 (exp a))) 4)))))) (/ 1 (* (pow (exp a) 2) (pow (+ 1 (/ 1 (exp a))) 3)))) (* 1/2 (/ 1 (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2)))))) (/ 1 (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2))))) (/ 1 (+ 1 (/ 1 (exp a)))))
(/ 1 (+ 1 (/ 1 (exp (- a b)))))
(/ 1 (+ 1 (/ 1 (exp (- a b)))))
(/ 1 (+ 1 (/ 1 (exp (- a b)))))
(/ 1 (+ 1 (/ 1 (exp (- a b)))))
(/ 1 (+ 1 (/ 1 (exp (+ a (* -1 b))))))
(/ 1 (+ 1 (/ 1 (exp (+ a (* -1 b))))))
(/ 1 (+ 1 (/ 1 (exp (+ a (* -1 b))))))
(/ 1 (+ 1 (/ 1 (exp (+ a (* -1 b))))))
(+ 1 (/ 1 (exp (neg b))))
(+ 1 (+ (* -1 (/ a (exp (neg b)))) (/ 1 (exp (neg b)))))
(+ 1 (+ (* a (- (* 1/2 (/ a (exp (neg b)))) (/ 1 (exp (neg b))))) (/ 1 (exp (neg b)))))
(+ 1 (+ (* a (- (* a (+ (* -1/6 (/ a (exp (neg b)))) (* 1/2 (/ 1 (exp (neg b)))))) (/ 1 (exp (neg b))))) (/ 1 (exp (neg b)))))
(+ 1 (/ 1 (exp (- a b))))
(+ 1 (/ 1 (exp (- a b))))
(+ 1 (/ 1 (exp (- a b))))
(+ 1 (/ 1 (exp (- a b))))
(+ 1 (/ 1 (exp (neg (+ b (* -1 a))))))
(+ 1 (/ 1 (exp (neg (+ b (* -1 a))))))
(+ 1 (/ 1 (exp (neg (+ b (* -1 a))))))
(+ 1 (/ 1 (exp (neg (+ b (* -1 a))))))
(+ 1 (/ 1 (exp a)))
(+ 1 (+ (/ 1 (exp a)) (/ b (exp a))))
(+ 1 (+ (* b (+ (* 1/2 (/ b (exp a))) (/ 1 (exp a)))) (/ 1 (exp a))))
(+ 1 (+ (* b (+ (* b (+ (* 1/6 (/ b (exp a))) (* 1/2 (/ 1 (exp a))))) (/ 1 (exp a)))) (/ 1 (exp a))))
(+ 1 (/ 1 (exp (- a b))))
(+ 1 (/ 1 (exp (- a b))))
(+ 1 (/ 1 (exp (- a b))))
(+ 1 (/ 1 (exp (- a b))))
(+ 1 (/ 1 (exp (+ a (* -1 b)))))
(+ 1 (/ 1 (exp (+ a (* -1 b)))))
(+ 1 (/ 1 (exp (+ a (* -1 b)))))
(+ 1 (/ 1 (exp (+ a (* -1 b)))))
(exp (neg b))
(+ (exp (neg b)) (* a (exp (neg b))))
(+ (exp (neg b)) (* a (+ (exp (neg b)) (* 1/2 (* a (exp (neg b)))))))
(+ (exp (neg b)) (* a (+ (exp (neg b)) (* a (+ (* 1/6 (* a (exp (neg b)))) (* 1/2 (exp (neg b))))))))
(exp (- a b))
(exp (- a b))
(exp (- a b))
(exp (- a b))
(exp (neg (+ b (* -1 a))))
(exp (neg (+ b (* -1 a))))
(exp (neg (+ b (* -1 a))))
(exp (neg (+ b (* -1 a))))
(exp a)
(+ (exp a) (* -1 (* b (exp a))))
(+ (exp a) (* b (+ (* -1 (exp a)) (* 1/2 (* b (exp a))))))
(+ (exp a) (* b (+ (* -1 (exp a)) (* b (+ (* -1/6 (* b (exp a))) (* 1/2 (exp a)))))))
(exp (- a b))
(exp (- a b))
(exp (- a b))
(exp (- a b))
(exp (+ a (* -1 b)))
(exp (+ a (* -1 b)))
(exp (+ a (* -1 b)))
(exp (+ a (* -1 b)))
1/2
(+ 1/2 (* 1/4 a))
(+ 1/2 (* 1/4 a))
(+ 1/2 (* 1/4 a))
(* 1/4 a)
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* 1/4 a)
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* a (+ 1/4 (* 1/2 (/ 1 a))))
(* -1/48 (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)))
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)))
(* -1/480 (pow b 5))
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* (pow b 5) (- (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* -1/480 (pow b 5))
(* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))
(* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))
(* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (+ (* 1/48 (/ 1 (pow b 2))) (* 1/2 (/ 1 (pow b 5)))))))
(* -1/4 b)
(* b (- (* 1/48 (pow b 2)) 1/4))
(* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))
(* b (- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4))
(* -1/480 (pow b 5))
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* (pow b 5) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* -1/480 (pow b 5))
(* -1 (* (pow b 5) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))
(* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))
(* -1 (* (pow b 5) (- (+ 1/480 (/ 1/4 (pow b 4))) (* 1/48 (/ 1 (pow b 2))))))
-1/4
(- (* 1/48 (pow b 2)) 1/4)
(- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)
(- (* (pow b 2) (+ 1/48 (* -1/480 (pow b 2)))) 1/4)
(* -1/480 (pow b 4))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* -1/480 (pow b 4))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(* 1/48 b)
(* b (+ 1/48 (* -1/480 (pow b 2))))
(* b (+ 1/48 (* -1/480 (pow b 2))))
(* b (+ 1/48 (* -1/480 (pow b 2))))
(* -1/480 (pow b 3))
(* (pow b 3) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 3) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 3) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* -1/480 (pow b 3))
(* -1 (* (pow b 3) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))
(* -1 (* (pow b 3) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))
(* -1 (* (pow b 3) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))
1/48
(+ 1/48 (* -1/480 (pow b 2)))
(+ 1/48 (* -1/480 (pow b 2)))
(+ 1/48 (* -1/480 (pow b 2)))
(* -1/480 (pow b 2))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* -1/480 (pow b 2))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
Outputs
(/ 1 (exp (neg b)))
(exp.f64 b)
(+ (* -1 (/ a (exp (neg b)))) (/ 1 (exp (neg b))))
(*.f64 (exp.f64 b) (-.f64 #s(literal 1 binary64) a))
(+ (* a (- (* 1/2 (/ a (exp (neg b)))) (/ 1 (exp (neg b))))) (/ 1 (exp (neg b))))
(fma.f64 a (*.f64 (exp.f64 b) (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64))) (exp.f64 b))
(+ (* a (- (* a (+ (* -1/6 (/ a (exp (neg b)))) (* 1/2 (/ 1 (exp (neg b)))))) (/ 1 (exp (neg b))))) (/ 1 (exp (neg b))))
(fma.f64 a (*.f64 (*.f64 (exp.f64 b) a) (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (exp.f64 b) (-.f64 #s(literal 1 binary64) a)))
(/ 1 (exp (- a b)))
(exp.f64 (-.f64 b a))
(/ 1 (exp (- a b)))
(exp.f64 (-.f64 b a))
(/ 1 (exp (- a b)))
(exp.f64 (-.f64 b a))
(/ 1 (exp (- a b)))
(exp.f64 (-.f64 b a))
(/ 1 (exp (neg (+ b (* -1 a)))))
(exp.f64 (-.f64 b a))
(/ 1 (exp (neg (+ b (* -1 a)))))
(exp.f64 (-.f64 b a))
(/ 1 (exp (neg (+ b (* -1 a)))))
(exp.f64 (-.f64 b a))
(/ 1 (exp (neg (+ b (* -1 a)))))
(exp.f64 (-.f64 b a))
(/ 1 (exp a))
(exp.f64 (neg.f64 a))
(+ (/ 1 (exp a)) (/ b (exp a)))
(*.f64 (+.f64 b #s(literal 1 binary64)) (exp.f64 (neg.f64 a)))
(+ (* b (+ (* 1/2 (/ b (exp a))) (/ 1 (exp a)))) (/ 1 (exp a)))
(fma.f64 b (*.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (exp.f64 (neg.f64 a))) (exp.f64 (neg.f64 a)))
(+ (* b (+ (* b (+ (* 1/6 (/ b (exp a))) (* 1/2 (/ 1 (exp a))))) (/ 1 (exp a)))) (/ 1 (exp a)))
(fma.f64 b (*.f64 (*.f64 b (exp.f64 (neg.f64 a))) (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (+.f64 b #s(literal 1 binary64)) (exp.f64 (neg.f64 a))))
(/ 1 (exp (- a b)))
(exp.f64 (-.f64 b a))
(/ 1 (exp (- a b)))
(exp.f64 (-.f64 b a))
(/ 1 (exp (- a b)))
(exp.f64 (-.f64 b a))
(/ 1 (exp (- a b)))
(exp.f64 (-.f64 b a))
(/ 1 (exp (+ a (* -1 b))))
(exp.f64 (-.f64 b a))
(/ 1 (exp (+ a (* -1 b))))
(exp.f64 (-.f64 b a))
(/ 1 (exp (+ a (* -1 b))))
(exp.f64 (-.f64 b a))
(/ 1 (exp (+ a (* -1 b))))
(exp.f64 (-.f64 b a))
(/ 1 (+ 1 (/ 1 (exp (neg b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ (/ 1 (+ 1 (/ 1 (exp (neg b))))) (/ a (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))) (/.f64 a (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))))))
(+ (* a (+ (* a (- (/ 1 (* (pow (exp (neg b)) 2) (pow (+ 1 (/ 1 (exp (neg b)))) 3))) (* 1/2 (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2)))))) (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2))))) (/ 1 (+ 1 (/ 1 (exp (neg b))))))
(fma.f64 a (fma.f64 a (+.f64 (/.f64 (exp.f64 (+.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(+ (* a (+ (* a (- (+ (* a (- (* 1/6 (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2)))) (+ (* -1 (/ (- (/ 1 (* (pow (exp (neg b)) 2) (pow (+ 1 (/ 1 (exp (neg b)))) 3))) (* 1/2 (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2))))) (* (exp (neg b)) (+ 1 (/ 1 (exp (neg b))))))) (* 1/2 (/ 1 (* (pow (exp (neg b)) 2) (pow (+ 1 (/ 1 (exp (neg b)))) 3))))))) (/ 1 (* (pow (exp (neg b)) 2) (pow (+ 1 (/ 1 (exp (neg b)))) 3)))) (* 1/2 (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2)))))) (/ 1 (* (exp (neg b)) (pow (+ 1 (/ 1 (exp (neg b)))) 2))))) (/ 1 (+ 1 (/ 1 (exp (neg b))))))
(fma.f64 a (fma.f64 a (+.f64 (/.f64 (exp.f64 (+.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (fma.f64 a (+.f64 (/.f64 (+.f64 (/.f64 (exp.f64 (+.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))) (fma.f64 (/.f64 (exp.f64 (+.f64 b b)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) #s(literal 3 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))))))) (/.f64 #s(literal -1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b))))))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 b)) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(/ 1 (+ 1 (/ 1 (exp (- a b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (/ 1 (exp (- a b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (/ 1 (exp (- a b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (/ 1 (exp (- a b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (/ 1 (exp (neg (+ b (* -1 a)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (/ 1 (exp (neg (+ b (* -1 a)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (/ 1 (exp (neg (+ b (* -1 a)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (/ 1 (exp (neg (+ b (* -1 a)))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (/ 1 (exp a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(+ (* -1 (/ b (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2)))) (/ 1 (+ 1 (/ 1 (exp a)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (/.f64 b (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))))
(+ (* b (- (* b (- (/ 1 (* (pow (exp a) 2) (pow (+ 1 (/ 1 (exp a))) 3))) (* 1/2 (/ 1 (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2)))))) (/ 1 (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2))))) (/ 1 (+ 1 (/ 1 (exp a)))))
(fma.f64 b (fma.f64 b (+.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(+ (* b (- (* b (- (+ (* b (- (/ 1 (* (pow (exp a) 2) (pow (+ 1 (/ 1 (exp a))) 3))) (+ (* 1/6 (/ 1 (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2)))) (/ 1 (* (pow (exp a) 3) (pow (+ 1 (/ 1 (exp a))) 4)))))) (/ 1 (* (pow (exp a) 2) (pow (+ 1 (/ 1 (exp a))) 3)))) (* 1/2 (/ 1 (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2)))))) (/ 1 (* (exp a) (pow (+ 1 (/ 1 (exp a))) 2))))) (/ 1 (+ 1 (/ 1 (exp a)))))
(fma.f64 b (fma.f64 b (+.f64 (fma.f64 b (+.f64 (/.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 a)))) (/.f64 (exp.f64 (-.f64 (-.f64 (neg.f64 a) a) a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 4 binary64))))) (/.f64 (exp.f64 (-.f64 (neg.f64 a) a)) (pow.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) #s(literal 3 binary64)))) (/.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))) (+.f64 #s(literal 1 binary64) (exp.f64 a))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))))
(/ 1 (+ 1 (/ 1 (exp (- a b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (/ 1 (exp (- a b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (/ 1 (exp (- a b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (/ 1 (exp (- a b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (/ 1 (exp (+ a (* -1 b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (/ 1 (exp (+ a (* -1 b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (/ 1 (exp (+ a (* -1 b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/ 1 (+ 1 (/ 1 (exp (+ a (* -1 b))))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(+ 1 (/ 1 (exp (neg b))))
(+.f64 #s(literal 1 binary64) (exp.f64 b))
(+ 1 (+ (* -1 (/ a (exp (neg b)))) (/ 1 (exp (neg b)))))
(fma.f64 (exp.f64 b) (-.f64 #s(literal 1 binary64) a) #s(literal 1 binary64))
(+ 1 (+ (* a (- (* 1/2 (/ a (exp (neg b)))) (/ 1 (exp (neg b))))) (/ 1 (exp (neg b)))))
(fma.f64 a (*.f64 (exp.f64 b) (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(+ 1 (+ (* a (- (* a (+ (* -1/6 (/ a (exp (neg b)))) (* 1/2 (/ 1 (exp (neg b)))))) (/ 1 (exp (neg b))))) (/ 1 (exp (neg b)))))
(fma.f64 a (*.f64 (*.f64 (exp.f64 b) a) (fma.f64 a #s(literal -1/6 binary64) #s(literal 1/2 binary64))) (fma.f64 (exp.f64 b) (-.f64 #s(literal 1 binary64) a) #s(literal 1 binary64)))
(+ 1 (/ 1 (exp (- a b))))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+ 1 (/ 1 (exp (- a b))))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+ 1 (/ 1 (exp (- a b))))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+ 1 (/ 1 (exp (- a b))))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+ 1 (/ 1 (exp (neg (+ b (* -1 a))))))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+ 1 (/ 1 (exp (neg (+ b (* -1 a))))))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+ 1 (/ 1 (exp (neg (+ b (* -1 a))))))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a)))
(+ 1 (/ 1 (exp (neg (+ b (* -1 a))))))
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(*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 b b))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (+.f64 (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))))
(* (pow b 4) (- (* 1/48 (/ 1 (pow b 2))) (+ 1/480 (/ 1/4 (pow b 4)))))
(*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (+.f64 (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) (*.f64 b b))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))))
(* 1/48 b)
(*.f64 b #s(literal 1/48 binary64))
(* b (+ 1/48 (* -1/480 (pow b 2))))
(*.f64 b (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)))
(* b (+ 1/48 (* -1/480 (pow b 2))))
(*.f64 b (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)))
(* b (+ 1/48 (* -1/480 (pow b 2))))
(*.f64 b (fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64)))
(* -1/480 (pow b 3))
(*.f64 b (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))
(* (pow b 3) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 b (*.f64 b (fma.f64 b #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) b))))
(* (pow b 3) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 b (*.f64 b (fma.f64 b #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) b))))
(* (pow b 3) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 b (*.f64 b (fma.f64 b #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) b))))
(* -1/480 (pow b 3))
(*.f64 b (*.f64 (*.f64 b b) #s(literal -1/480 binary64)))
(* -1 (* (pow b 3) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))
(*.f64 b (*.f64 b (fma.f64 b #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) b))))
(* -1 (* (pow b 3) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))
(*.f64 b (*.f64 b (fma.f64 b #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) b))))
(* -1 (* (pow b 3) (- 1/480 (* 1/48 (/ 1 (pow b 2))))))
(*.f64 b (*.f64 b (fma.f64 b #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) b))))
1/48
#s(literal 1/48 binary64)
(+ 1/48 (* -1/480 (pow b 2)))
(fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64))
(+ 1/48 (* -1/480 (pow b 2)))
(fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64))
(+ 1/48 (* -1/480 (pow b 2)))
(fma.f64 b (*.f64 b #s(literal -1/480 binary64)) #s(literal 1/48 binary64))
(* -1/480 (pow b 2))
(*.f64 (*.f64 b b) #s(literal -1/480 binary64))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 b (fma.f64 b #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) b)))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 b (fma.f64 b #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) b)))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 b (fma.f64 b #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) b)))
(* -1/480 (pow b 2))
(*.f64 (*.f64 b b) #s(literal -1/480 binary64))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 b (fma.f64 b #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) b)))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 b (fma.f64 b #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) b)))
(* (pow b 2) (- (* 1/48 (/ 1 (pow b 2))) 1/480))
(*.f64 b (fma.f64 b #s(literal -1/480 binary64) (/.f64 #s(literal 1/48 binary64) b)))

eval102.0ms (1%)

Memory
10.5MiB live, 161.4MiB allocated
Compiler

Compiled 16 897 to 1 994 computations (88.2% saved)

prune95.0ms (0.9%)

Memory
32.8MiB live, 154.3MiB allocated
Pruning

29 alts after pruning (19 fresh and 10 done)

PrunedKeptTotal
New6795684
Fresh01414
Picked235
Done077
Total68129710
Accuracy
100.0%
Counts
710 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.7%
(fma.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
✓36.5%
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
36.0%
(fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
8.6%
(fma.f64 b (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))))) #s(literal 1/2 binary64))
36.8%
(fma.f64 b #s(literal -1/4 binary64) #s(literal 1/2 binary64))
39.8%
(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))
✓39.7%
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
✓39.6%
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
42.6%
(/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)))
81.6%
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (exp.f64 a) (exp.f64 b)))
38.0%
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64))) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
✓68.2%
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
18.4%
(/.f64 #s(literal 2 binary64) (*.f64 b b))
56.1%
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
59.5%
(/.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)))
54.1%
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))
40.3%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a))
37.0%
(/.f64 #s(literal 1 binary64) (+.f64 b #s(literal 2 binary64)))
81.3%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))))
✓99.9%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
✓68.2%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
✓81.3%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
✓36.5%
(+.f64 (*.f64 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))
24.1%
(+.f64 (exp.f64 b) #s(literal 1 binary64))
✓16.2%
(*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64))))
3.9%
(*.f64 a #s(literal 1/4 binary64))
81.3%
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
52.8%
(exp.f64 a)
✓39.0%
#s(literal 1/2 binary64)
Compiler

Compiled 766 to 371 computations (51.6% saved)

regimes55.0ms (0.6%)

Memory
2.6MiB live, 79.5MiB allocated
Counts
40 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 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) (+.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 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #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)))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 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 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))
(/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)))
(fma.f64 b (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))))) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64))) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(exp.f64 a)
(+.f64 (exp.f64 b) #s(literal 1 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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b)))))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 (neg.f64 a))))
(*.f64 (+.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.f64 (fma.f64 (log.f64 (+.f64 (exp.f64 a) (exp.f64 b))) #s(literal -1 binary64) a))
(/.f64 (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 a b))) (-.f64 (exp.f64 (+.f64 a a)) (exp.f64 (+.f64 b b))))
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 (*.f64 a #s(literal 3 binary64))))) (+.f64 #s(literal 0 binary64) (+.f64 (exp.f64 (+.f64 a a)) (*.f64 #s(literal 0 binary64) (neg.f64 (exp.f64 a)))))) (+.f64 (exp.f64 a) (exp.f64 b)))
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Calls

5 calls:

12.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
11.0ms
a
11.0ms
b
9.0ms
(exp.f64 a)
8.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
100.0%1a
100.0%1b
100.0%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
100.0%1(exp.f64 a)
100.0%1(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes47.0ms (0.5%)

Memory
-19.1MiB live, 95.7MiB allocated
Counts
34 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 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) (+.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 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #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)))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 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 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))
(/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)))
(fma.f64 b (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))))) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64))) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(exp.f64 a)
(+.f64 (exp.f64 b) #s(literal 1 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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b)))))
(/.f64 (exp.f64 a) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 b)) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 b b))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 b))))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b)))))
Calls

5 calls:

11.0ms
a
10.0ms
b
9.0ms
(exp.f64 b)
8.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
7.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
100.0%1a
100.0%1b
100.0%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
100.0%1(exp.f64 a)
100.0%1(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes52.0ms (0.5%)

Memory
-21.6MiB live, 67.9MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 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) (+.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 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #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)))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 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 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))
(/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)))
(fma.f64 b (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))))) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64))) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(exp.f64 a)
(+.f64 (exp.f64 b) #s(literal 1 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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 b)))))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
Calls

5 calls:

20.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
8.0ms
b
8.0ms
a
6.0ms
(exp.f64 b)
6.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
99.9%1a
99.9%1b
99.9%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
99.9%1(exp.f64 a)
99.9%1(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes35.0ms (0.4%)

Memory
11.5MiB live, 50.7MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 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) (+.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 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #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)))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 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 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))
(/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)))
(fma.f64 b (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))))) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64))) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(exp.f64 a)
(+.f64 (exp.f64 b) #s(literal 1 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))))
Outputs
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
Calls

5 calls:

8.0ms
a
8.0ms
b
6.0ms
(exp.f64 a)
6.0ms
(exp.f64 b)
6.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
98.9%2a
99.1%3b
81.3%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
98.9%2(exp.f64 a)
99.1%3(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes17.0ms (0.2%)

Memory
3.7MiB live, 40.4MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 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) (+.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 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #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)))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 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 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))
(/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)))
(fma.f64 b (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))))) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64))) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(exp.f64 a)
(+.f64 (exp.f64 b) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
Outputs
(exp.f64 a)
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b)))
Calls

2 calls:

10.0ms
a
6.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
98.7%2a
98.7%2(exp.f64 a)
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes29.0ms (0.3%)

Memory
-3.4MiB live, 40.6MiB allocated
Counts
24 → 4
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 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) (+.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 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #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)))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 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 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))
(/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)))
(fma.f64 b (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))))) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64))) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(exp.f64 a)
(+.f64 (exp.f64 b) #s(literal 1 binary64))
Outputs
(exp.f64 a)
(/.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 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64))) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
Calls

4 calls:

8.0ms
(exp.f64 b)
7.0ms
b
7.0ms
a
6.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
89.3%4b
85.1%3(exp.f64 b)
76.6%2a
76.5%2(exp.f64 a)
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes33.0ms (0.3%)

Memory
-1.0MiB live, 74.1MiB allocated
Counts
22 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 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) (+.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 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #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)))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 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 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))
(/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)))
(fma.f64 b (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))))) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64))) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 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 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64))) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b (fma.f64 b #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
Calls

5 calls:

8.0ms
(exp.f64 b)
7.0ms
b
7.0ms
a
6.0ms
(exp.f64 a)
5.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
68.4%2(exp.f64 a)
70.1%2a
59.5%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
71.3%2(exp.f64 b)
75.4%3b
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
12.5MiB live, 12.5MiB allocated
Counts
21 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 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) (+.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 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #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)))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 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 b (fma.f64 b (*.f64 b (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64))) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))
(/.f64 (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)))
(fma.f64 b (*.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 b b)) (+.f64 #s(literal -1/480 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 b b) (*.f64 b b)))))) #s(literal 1/2 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
75.3%3b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
10.0MiB live, 10.0MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 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) (+.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 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #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)))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 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 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
Calls

1 calls:

5.0ms
b
Results
AccuracySegmentsBranch
73.5%3b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes16.0ms (0.2%)

Memory
-8.7MiB live, 29.9MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 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) (+.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 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #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)))
(fma.f64 a (fma.f64 (*.f64 a a) (fma.f64 (*.f64 a a) #s(literal 1/480 binary64) #s(literal -1/48 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) (fma.f64 (*.f64 b b) #s(literal -1/480 binary64) #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
Outputs
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #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 #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))
Calls

3 calls:

5.0ms
a
5.0ms
b
5.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
62.9%2a
63.8%2(exp.f64 b)
70.7%3b
Compiler

Compiled 10 to 7 computations (30% saved)

regimes5.0ms (0.1%)

Memory
11.9MiB live, 11.9MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 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) (+.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 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #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 #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

1 calls:

4.0ms
b
Results
AccuracySegmentsBranch
70.7%3b
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes21.0ms (0.2%)

Memory
-18.4MiB live, 23.9MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 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) (+.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 #s(literal 2 binary64) (*.f64 b b))
(fma.f64 a (fma.f64 #s(literal -1/48 binary64) (*.f64 a a) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 b (*.f64 b #s(literal 1/48 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 b (fma.f64 (*.f64 b b) #s(literal 1/48 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 a (*.f64 a a)) #s(literal -1/48 binary64) (fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64)))
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
(exp.f64 a)
4.0ms
b
4.0ms
a
3.0ms
(exp.f64 b)
3.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
54.7%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
46.5%2a
54.8%2(exp.f64 b)
46.5%2(exp.f64 a)
61.7%3b
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
11.0MiB live, 11.0MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 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) (+.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))))
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:

3.0ms
b
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 b)
Results
AccuracySegmentsBranch
52.8%2(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
53.2%2(exp.f64 b)
53.2%2b
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes36.0ms (0.4%)

Memory
-20.7MiB live, 18.1MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 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) (+.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:

26.0ms
a
3.0ms
b
2.0ms
(exp.f64 b)
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
2.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
40.3%1a
40.3%1(exp.f64 a)
40.3%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
40.3%1b
40.3%1(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes11.0ms (0.1%)

Memory
23.8MiB live, 23.8MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(literal 1/2 binary64)
(*.f64 a #s(literal 1/4 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) (+.f64 b #s(literal 2 binary64)))
Outputs
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
Calls

5 calls:

2.0ms
b
2.0ms
a
2.0ms
(exp.f64 a)
2.0ms
(exp.f64 b)
2.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
Results
AccuracySegmentsBranch
39.6%1a
39.6%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
39.6%1(exp.f64 a)
39.6%1b
39.6%1(exp.f64 b)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
8.8MiB live, 8.8MiB allocated
Accuracy

Total -22.8b remaining (-58.4%)

Threshold costs -22.8b (-58.4%)

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

5 calls:

1.0ms
a
1.0ms
b
1.0ms
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
1.0ms
(exp.f64 b)
1.0ms
(exp.f64 a)
Results
AccuracySegmentsBranch
39.0%1(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
39.0%1a
39.0%1b
39.0%1(exp.f64 a)
39.0%1(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
0.9999999996338252
0.9999999999048164
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
2.304981494581268e-25
Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch67.0ms (0.7%)

Memory
-14.5MiB live, 59.8MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
4.3100934933704293e+68
2.547662940844661e+82
10.0ms
2.4713357660890018e+48
1.0643003661323769e+52
37.0ms
-2.414692557572519e-40
-2.6709917295509493e-58
Samples
24.0ms448×0valid
Compiler

Compiled 1 239 to 665 computations (46.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 6.0ms (41.9% of total)
ival-exp: 6.0ms (41.9% of total)
ival-add: 2.0ms (14% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch28.0ms (0.3%)

Memory
-15.4MiB live, 27.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
4.3100934933704293e+68
2.547662940844661e+82
10.0ms
2.4713357660890018e+48
1.0643003661323769e+52
Samples
13.0ms288×0valid
Compiler

Compiled 1 039 to 505 computations (51.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-exp: 4.0ms (53.4% of total)
ival-div: 2.0ms (26.7% of total)
ival-add: 1.0ms (13.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch26.0ms (0.3%)

Memory
7.4MiB live, 45.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
6.062607929621515e+98
2.5507616414096853e+115
10.0ms
1.608571082819038e+39
8.696329716710238e+41
Samples
15.0ms288×0valid
Compiler

Compiled 463 to 343 computations (25.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-exp: 4.0ms (44.9% of total)
ival-add: 3.0ms (33.7% of total)
ival-div: 2.0ms (22.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch14.0ms (0.1%)

Memory
17.8MiB live, 17.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
3.0ms
2.5721128467815246e+153
2.7915341753816657e+153
10.0ms
1.608571082819038e+39
8.696329716710238e+41
Samples
7.0ms160×0valid
Compiler

Compiled 257 to 195 computations (24.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-exp: 2.0ms (47.8% of total)
ival-div: 1.0ms (23.9% of total)
ival-add: 1.0ms (23.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch21.0ms (0.2%)

Memory
-3.4MiB live, 33.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
3.0ms
2.5721128467815246e+153
2.7915341753816657e+153
17.0ms
8.421826536364382
1.1479410460941365e+21
Samples
11.0ms208×0valid
Compiler

Compiled 299 to 230 computations (23.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 4.0ms (62.2% of total)
ival-div: 1.0ms (15.6% of total)
ival-add: 1.0ms (15.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Memory
3.1MiB live, 40.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
2.0ms
2.5721128467815246e+153
2.7915341753816657e+153
17.0ms
8.421826536364382
1.1479410460941365e+21
Samples
10.0ms208×0valid
Compiler

Compiled 291 to 224 computations (23% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 4.0ms (65.6% of total)
ival-div: 1.0ms (16.4% of total)
ival-add: 1.0ms (16.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch24.0ms (0.2%)

Memory
-27.1MiB live, 23.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
3.0ms
2.5721128467815246e+153
2.7915341753816657e+153
20.0ms
8.421826536364382
1.1479410460941365e+21
Samples
10.0ms208×0valid
Compiler

Compiled 247 to 191 computations (22.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-exp: 3.0ms (50.9% of total)
ival-div: 1.0ms (17% of total)
ival-add: 1.0ms (17% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
4545.197847032572
+inf
Compiler

Compiled 13 to 11 computations (15.4% saved)

simplify13.0ms (0.1%)

Memory
31.0MiB live, 31.0MiB allocated
Algorithm
1×egg-herbie
Rules
20×+-commutative_binary64
18×*-commutative_binary64
10×sub-neg_binary64
4×neg-sub0_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0102390
1123390
2130390
3133390
4134390
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(if (<=.f64 (exp.f64 a) #s(literal 281474976654361/281474976710656 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (exp.f64 a) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(if (<=.f64 b #s(literal -5884782876925013/24519928653854221733733552434404946937899825954937634816 binary64)) (exp.f64 a) (if (<=.f64 b #s(literal 3299999999999999711783531468410197741562225802346496 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 160000000000000007529621519344875134264953622525866092228459352558371992502272 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64))) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 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 3200000000000000244152634914940384105438879070289920 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 160000000000000007529621519344875134264953622525866092228459352558371992502272 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64))) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 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 7999999999999999517673330972825428688896 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 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 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 1650000000000000104526356573113917898752 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 2750000000000000138819893326095195783822903417072571483185201769032084192732783587283272656574960964348772528808683540222483782161960996344009306308345856 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(if (<=.f64 b #s(literal 940000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (if (<=.f64 b #s(literal 2750000000000000138819893326095195783822903417072571483185201769032084192732783587283272656574960964348772528808683540222483782161960996344009306308345856 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(if (<=.f64 b #s(literal 700 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (if (<=.f64 b #s(literal 2750000000000000138819893326095195783822903417072571483185201769032084192732783587283272656574960964348772528808683540222483782161960996344009306308345856 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 550 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a)) (if (<=.f64 b #s(literal 2750000000000000138819893326095195783822903417072571483185201769032084192732783587283272656574960964348772528808683540222483782161960996344009306308345856 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 (exp.f64 b) #s(literal 5000 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))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
Outputs
(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (-.f64 a b)))))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 b a))))
(if (<=.f64 (exp.f64 a) #s(literal 281474976654361/281474976710656 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 281474976654361/281474976710656 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 a)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (exp.f64 a) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 b))))
(if (<=.f64 (exp.f64 a) #s(literal 0 binary64)) (exp.f64 a) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 b) #s(literal 1 binary64))))
(if (<=.f64 b #s(literal -5884782876925013/24519928653854221733733552434404946937899825954937634816 binary64)) (exp.f64 a) (if (<=.f64 b #s(literal 3299999999999999711783531468410197741562225802346496 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 160000000000000007529621519344875134264953622525866092228459352558371992502272 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64))) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 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 -5884782876925013/24519928653854221733733552434404946937899825954937634816 binary64)) (exp.f64 a) (if (<=.f64 b #s(literal 3299999999999999711783531468410197741562225802346496 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 160000000000000007529621519344875134264953622525866092228459352558371992502272 binary64)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 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 3200000000000000244152634914940384105438879070289920 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 160000000000000007529621519344875134264953622525866092228459352558371992502272 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64))) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 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 3200000000000000244152634914940384105438879070289920 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 160000000000000007529621519344875134264953622525866092228459352558371992502272 binary64)) (/.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (*.f64 (fma.f64 (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 b (fma.f64 b (*.f64 b #s(literal 1/2 binary64)) b)) #s(literal -4 binary64)) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 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 7999999999999999517673330972825428688896 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 10500000000000000815831766655872649178879125871197860277834278179049830808884244966648174743689294249984 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 1650000000000000104526356573113917898752 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 2750000000000000138819893326095195783822903417072571483185201769032084192732783587283272656574960964348772528808683540222483782161960996344009306308345856 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(if (<=.f64 b #s(literal 940000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (if (<=.f64 b #s(literal 2750000000000000138819893326095195783822903417072571483185201769032084192732783587283272656574960964348772528808683540222483782161960996344009306308345856 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 b (fma.f64 b #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64)))))
(if (<=.f64 b #s(literal 700 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 a (fma.f64 a #s(literal 1/2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))) (if (<=.f64 b #s(literal 2750000000000000138819893326095195783822903417072571483185201769032084192732783587283272656574960964348772528808683540222483782161960996344009306308345856 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 550 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) a)) (if (<=.f64 b #s(literal 2750000000000000138819893326095195783822903417072571483185201769032084192732783587283272656574960964348772528808683540222483782161960996344009306308345856 binary64)) (*.f64 a (*.f64 a (*.f64 a #s(literal -1/48 binary64)))) (/.f64 #s(literal 2 binary64) (*.f64 b b))))
(if (<=.f64 (exp.f64 b) #s(literal 5000 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))
(fma.f64 a #s(literal 1/4 binary64) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)

soundness1.4s (13.7%)

Memory
-42.6MiB live, 1 376.3MiB allocated
Rules
18 438×accelerator-lowering-fma.f32
18 438×accelerator-lowering-fma.f64
7 750×accelerator-lowering-fma.f32
7 750×accelerator-lowering-fma.f64
7 738×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02772266
17862121
221632055
374782052
082391943
02999
118899
2147399
0835590
0617
12817
219917
3192817
0863117
033131
1202129
21484126
08149111
0120740
1332725
2963708
33702677
08342640
05514809
116494575
245844401
081784065
02411914
16841861
221651819
368071813
081551751
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
1×iter limit
1×node limit
Compiler

Compiled 1 203 to 703 computations (41.6% saved)

preprocess148.0ms (1.5%)

Memory
33.3MiB live, 185.9MiB allocated
Compiler

Compiled 824 to 228 computations (72.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...