NMSE Section 6.1 mentioned, A

Time bar (total: 17.2s)

analyze36.0ms (0.2%)

Memory
4.2MiB live, 43.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.7%92.5%6.2%0.1%0%1.2%0%9
93.7%92.5%6.2%0.1%0%1.2%0%10
96.8%94.9%3.1%0.1%0%1.9%0%11
96.8%94.9%3.1%0.1%0%1.9%0%12
Compiler

Compiled 31 to 21 computations (32.3% saved)

sample3.0s (17.3%)

Memory
-30.1MiB live, 3 703.3MiB allocated
Samples
1.1s5 924×0valid
1.0s2 332×1valid
150.0ms969×0exit
2.0ms14×1exit
Precisions
Click to see histograms. Total time spent on operations: 1.8s
ival-div: 451.0ms (25.1% of total)
ival-mult: 341.0ms (18.9% of total)
ival-exp: 327.0ms (18.2% of total)
ival-add: 255.0ms (14.2% of total)
ival-sub: 198.0ms (11% of total)
ival-neg: 134.0ms (7.4% of total)
adjust: 72.0ms (4% of total)
exact: 12.0ms (0.7% of total)
ival-true: 7.0ms (0.4% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

preprocess450.0ms (2.6%)

Memory
4.0MiB live, 548.5MiB allocated
Algorithm
egg-herbie
Rules
11 102×accelerator-lowering-fma.f32
11 102×accelerator-lowering-fma.f64
2 706×*-lowering-*.f32
2 706×*-lowering-*.f64
1 598×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063181
1197166
2600162
31975162
44911160
01929
15529
215427
349527
4111227
5332625
6758525
0812123
Stop Event
iter limit
node limit
node limit
Calls
Call 1
Inputs
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
Outputs
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
(fma.f64 (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)))
Call 2
Inputs
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) (neg x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) (neg x)))))) 2)
(/ (- (* (+ 1 (/ 1 (neg eps))) (exp (neg (* (- 1 (neg eps)) x)))) (* (- (/ 1 (neg eps)) 1) (exp (neg (* (+ 1 (neg eps)) x))))) 2)
(neg (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) (neg x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) (neg x)))))) 2))
(neg (/ (- (* (+ 1 (/ 1 (neg eps))) (exp (neg (* (- 1 (neg eps)) x)))) (* (- (/ 1 (neg eps)) 1) (exp (neg (* (+ 1 (neg eps)) x))))) 2))
(/ (- (* (+ 1 (/ 1 x)) (exp (neg (* (- 1 x) eps)))) (* (- (/ 1 x) 1) (exp (neg (* (+ 1 x) eps))))) 2)
Outputs
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
(* (+ (* (pow (exp x) (- -1 eps)) (+ 1 (/ -1 eps))) (* (+ 1 (/ 1 eps)) (pow (exp x) (+ eps -1)))) 1/2)
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) (neg x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) (neg x)))))) 2)
(/ (* (exp x) (+ (/ (+ 1 (/ 1 eps)) (pow (exp eps) x)) (* (pow (exp eps) x) (+ 1 (/ -1 eps))))) 2)
(/ (- (* (+ 1 (/ 1 (neg eps))) (exp (neg (* (- 1 (neg eps)) x)))) (* (- (/ 1 (neg eps)) 1) (exp (neg (* (+ 1 (neg eps)) x))))) 2)
(* (+ (* (pow (exp x) (- -1 eps)) (+ 1 (/ -1 eps))) (* (+ 1 (/ 1 eps)) (pow (exp x) (+ eps -1)))) 1/2)
(neg (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) (neg x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) (neg x)))))) 2))
(* (* (exp x) (+ (/ (+ 1 (/ 1 eps)) (pow (exp eps) x)) (* (pow (exp eps) x) (+ 1 (/ -1 eps))))) -1/2)
(neg (/ (- (* (+ 1 (/ 1 (neg eps))) (exp (neg (* (- 1 (neg eps)) x)))) (* (- (/ 1 (neg eps)) 1) (exp (neg (* (+ 1 (neg eps)) x))))) 2))
(* (+ (* (pow (exp x) (- -1 eps)) (+ 1 (/ -1 eps))) (* (+ 1 (/ 1 eps)) (pow (exp x) (+ eps -1)))) -1/2)
(/ (- (* (+ 1 (/ 1 x)) (exp (neg (* (- 1 x) eps)))) (* (- (/ 1 x) 1) (exp (neg (* (+ 1 x) eps))))) 2)
(/ (+ (* (+ 1 (/ 1 x)) (pow (exp eps) (+ x -1))) (* (pow (exp eps) (- -1 x)) (+ 1 (/ -1 x)))) 2)
Symmetry

(abs eps)

explain396.0ms (2.3%)

Memory
-12.6MiB live, 420.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
551(3.537308516409703e-186 3.7542374699168974e-10)0-(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
00-0-(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
00-0-(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
00-0-(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
00-0-#s(literal 1 binary64)
00-0-(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))
00-0-(-.f64 #s(literal 1 binary64) eps)
00-0-(+.f64 #s(literal 1 binary64) eps)
00-0-(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
00-0-(/.f64 #s(literal 1 binary64) eps)
00-0-eps
00-0-(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
00-0-(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
00-0-(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))
00-0-(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))
00-0-#s(literal 2 binary64)
00-0-(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
00-0-(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))cancellation560
Confusion
Predicted +Predicted -
+550
-1200
Precision
0.9821428571428571
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+5500
-10200
Precision?
0.9821428571428571
Recall?
1.0
Freqs
test
numberfreq
0200
156
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
73.0ms400×0valid
57.0ms112×1valid
Compiler

Compiled 348 to 80 computations (77% saved)

Precisions
Click to see histograms. Total time spent on operations: 104.0ms
ival-exp: 58.0ms (55.7% of total)
ival-mult: 14.0ms (13.4% of total)
ival-div: 9.0ms (8.6% of total)
ival-sub: 8.0ms (7.7% of total)
ival-add: 6.0ms (5.8% of total)
ival-neg: 5.0ms (4.8% of total)
adjust: 3.0ms (2.9% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.2%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Compiler

Compiled 31 to 19 computations (38.7% saved)

simplify401.0ms (2.3%)

Memory
-3.2MiB live, 590.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff128
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
cost-diff128
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
cost-diff192
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
cost-diff704
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Rules
11 102×accelerator-lowering-fma.f32
11 102×accelerator-lowering-fma.f64
2 706×*-lowering-*.f32
2 706×*-lowering-*.f64
1 598×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019141
155141
2154131
3495131
41112131
53326129
67585129
08121123
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
(- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))))
(* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x))))
(+ 1 (/ 1 eps))
1
(/ 1 eps)
eps
(exp (neg (* (- 1 eps) x)))
(neg (* (- 1 eps) x))
(* (- 1 eps) x)
(- 1 eps)
x
(* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))
(- (/ 1 eps) 1)
(exp (neg (* (+ 1 eps) x)))
(neg (* (+ 1 eps) x))
(* (+ 1 eps) x)
(+ 1 eps)
2
Outputs
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
(fma.f64 (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) #s(literal 0 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1/2 binary64)) (fma.f64 (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) #s(literal 0 binary64)))
(- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) #s(literal 0 binary64))) (fma.f64 (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) #s(literal 0 binary64)))
(* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(+ 1 (/ 1 eps))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
1
#s(literal 1 binary64)
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
eps
(exp (neg (* (- 1 eps) x)))
(exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) #s(literal 0 binary64)))
(neg (* (- 1 eps) x))
(fma.f64 x (+.f64 eps #s(literal -1 binary64)) #s(literal 0 binary64))
(* (- 1 eps) x)
(fma.f64 (-.f64 #s(literal 1 binary64) eps) x #s(literal 0 binary64))
(- 1 eps)
(-.f64 #s(literal 1 binary64) eps)
x
(* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64))) #s(literal 0 binary64))
(- (/ 1 eps) 1)
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))
(exp (neg (* (+ 1 eps) x)))
(exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64)))
(neg (* (+ 1 eps) x))
(fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64))
(* (+ 1 eps) x)
(fma.f64 eps x x)
(+ 1 eps)
(+.f64 #s(literal 1 binary64) eps)
2
#s(literal 2 binary64)

localize80.0ms (0.5%)

Memory
26.5MiB live, 184.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
accuracy100.0%
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))
accuracy100.0%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))
accuracy79.2%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Samples
32.0ms200×0valid
19.0ms56×1valid
Compiler

Compiled 143 to 21 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-exp: 8.0ms (21.2% of total)
ival-neg: 8.0ms (21.2% of total)
ival-mult: 7.0ms (18.5% of total)
ival-sub: 6.0ms (15.9% of total)
ival-div: 5.0ms (13.2% of total)
ival-add: 3.0ms (7.9% of total)
adjust: 1.0ms (2.6% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series24.0ms (0.1%)

Memory
-19.5MiB live, 62.0MiB allocated
Counts
6 → 144
Calls
Call 1
Inputs
#<alt (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)>
#<alt (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))))>
#<alt (neg (* (- 1 eps) x))>
#<alt (* (+ 1 eps) x)>
#<alt (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x))))>
#<alt (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))>
Outputs
#<alt (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))>
#<alt (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))>
#<alt (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))>
#<alt (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))>
#<alt (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))>
#<alt (+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))>
#<alt (+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))>
#<alt (+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))>
#<alt (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))>
#<alt (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))>
#<alt (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))>
#<alt (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))>
#<alt (+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))>
#<alt (+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))>
#<alt (- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))>
#<alt (- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))>
#<alt (- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (+ (* 1/24 (* (pow x 4) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x))))))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))>
#<alt (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))>
#<alt (- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))>
#<alt (- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))>
#<alt (- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))>
#<alt (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))>
#<alt (- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))>
#<alt (- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))>
#<alt (- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))>
#<alt 2>
#<alt (+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))>
#<alt (+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))>
#<alt (+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))>
#<alt (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))>
#<alt (* -1 x)>
#<alt (- (* eps x) x)>
#<alt (- (* eps x) x)>
#<alt (- (* eps x) x)>
#<alt (* eps x)>
#<alt (* eps (- (* -1 (/ x eps)) (* -1 x)))>
#<alt (* eps (- (* -1 (/ x eps)) (* -1 x)))>
#<alt (* eps (- (* -1 (/ x eps)) (* -1 x)))>
#<alt (* eps x)>
#<alt (* -1 (* eps (- (/ x eps) x)))>
#<alt (* -1 (* eps (- (/ x eps) x)))>
#<alt (* -1 (* eps (- (/ x eps) x)))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* -1 (* x (- 1 eps)))>
#<alt (* -1 (* x (- 1 eps)))>
#<alt (* -1 (* x (- 1 eps)))>
#<alt (* -1 (* x (- 1 eps)))>
#<alt x>
#<alt (+ x (* eps x))>
#<alt (+ x (* eps x))>
#<alt (+ x (* eps x))>
#<alt (* eps x)>
#<alt (* eps (+ x (/ x eps)))>
#<alt (* eps (+ x (/ x eps)))>
#<alt (* eps (+ x (/ x eps)))>
#<alt (* eps x)>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (/ (exp (neg x)) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps)>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))>
#<alt (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))>
#<alt (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt (+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))>
#<alt (+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))>
#<alt (+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))>
#<alt (+ 1 (/ 1 eps))>
#<alt (+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))>
#<alt (+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))>
#<alt (+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))>
#<alt (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))>
#<alt (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))>
#<alt (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))>
#<alt (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))>
#<alt (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))>
#<alt (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))>
#<alt (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))>
#<alt (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))>
#<alt (/ (exp (neg x)) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps)>
#<alt (* -1 (exp (neg (* x (+ 1 eps)))))>
#<alt (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))>
#<alt (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))>
#<alt (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))>
#<alt (* -1 (exp (neg (* x (- 1 (* -1 eps))))))>
#<alt (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))>
#<alt (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))>
#<alt (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))>
#<alt (- (/ 1 eps) 1)>
#<alt (- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)>
#<alt (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)>
#<alt (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
Calls

36 calls:

TimeVariablePointExpression
4.0ms
x
@0
(* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))
3.0ms
eps
@-inf
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
3.0ms
eps
@0
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
2.0ms
x
@-inf
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
1.0ms
x
@inf
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)

rewrite366.0ms (2.1%)

Memory
4.2MiB live, 764.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 830×accelerator-lowering-fma.f32
4 830×accelerator-lowering-fma.f64
3 930×/-lowering-/.f32
3 930×/-lowering-/.f64
3 926×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01993
111687
291786
0891078
Stop Event
iter limit
node limit
Counts
6 → 500
Calls
Call 1
Inputs
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
(- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))))
(neg (* (- 1 eps) x))
(* (+ 1 eps) x)
(* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x))))
(* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))
Outputs
(+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))
(+.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
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(fma.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
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(/.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
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(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps)))
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) eps) (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) eps) (-.f64 (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64))) (*.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) eps) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) eps) (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) eps)) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64)))) (-.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) eps) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64)))
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))) (exp.f64 (fma.f64 eps x x)))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (fma.f64 eps x x)))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (exp.f64 (fma.f64 eps x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))))
(*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))
(*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))))
(*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))))) (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) eps)))))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))) (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))))
(*.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) eps)))))
(*.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))))

simplify505.0ms (2.9%)

Memory
-2.3MiB live, 1 039.5MiB allocated
Algorithm
egg-herbie
Rules
16 366×accelerator-lowering-fma.f32
16 366×accelerator-lowering-fma.f64
4 512×+-lowering-+.f64
4 512×+-lowering-+.f32
4 372×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02993116
19752807
234052490
083612351
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
(+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))
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1
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(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(* -1 x)
(- (* eps x) x)
(- (* eps x) x)
(- (* eps x) x)
(* eps x)
(* eps (- (* -1 (/ x eps)) (* -1 x)))
(* eps (- (* -1 (/ x eps)) (* -1 x)))
(* eps (- (* -1 (/ x eps)) (* -1 x)))
(* eps x)
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(* -1 (* x (- 1 eps)))
(* -1 (* x (- 1 eps)))
x
(+ x (* eps x))
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(* eps (+ x (/ x eps)))
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(* x (+ 1 eps))
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(* x (+ 1 eps))
(* x (+ 1 eps))
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(/ (exp (neg x)) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps)
(exp (neg (* x (- 1 eps))))
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(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
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(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps)
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(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
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(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
Outputs
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
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(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
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(-.f64 #s(literal 0 binary64) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
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(*.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
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(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
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(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
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(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
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(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
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(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
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(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
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eval120.0ms (0.7%)

Memory
6.4MiB live, 196.6MiB allocated
Compiler

Compiled 32 832 to 2 457 computations (92.5% saved)

prune96.0ms (0.6%)

Memory
9.2MiB live, 205.3MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New6377644
Fresh000
Picked101
Done000
Total6387645
Accuracy
100.0%
Counts
645 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.3%
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
73.8%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1 binary64))
41.7%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
42.4%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
99.2%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
55.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
41.3%
#s(literal 1 binary64)
Compiler

Compiled 316 to 184 computations (41.8% saved)

simplify630.0ms (3.7%)

Memory
18.8MiB live, 1 107.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff320
(*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
cost-diff384
(*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))
cost-diff640
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))
cost-diff1984
(fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))
cost-diff0
(-.f64 #s(literal 0 binary64) x)
cost-diff0
(exp.f64 (-.f64 #s(literal 0 binary64) x))
cost-diff0
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
cost-diff128
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
cost-diff0
(+.f64 eps #s(literal 1 binary64))
cost-diff320
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))
cost-diff320
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
cost-diff2560
(fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)))
cost-diff0
(+.f64 #s(literal -1 binary64) eps)
cost-diff0
(exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))
cost-diff0
(+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Rules
24 000×accelerator-lowering-fma.f32
24 000×accelerator-lowering-fma.f64
3 866×*-lowering-*.f32
3 866×*-lowering-*.f64
3 212×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046489
1160474
2636461
33273430
45761336
08571315
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* 1/2 (+ (exp (* x (+ -1 eps))) (exp (* x (- -1 eps)))))
1/2
(+ (exp (* x (+ -1 eps))) (exp (* x (- -1 eps))))
(exp (* x (+ -1 eps)))
(* x (+ -1 eps))
x
(+ -1 eps)
-1
eps
(exp (* x (- -1 eps)))
(* x (- -1 eps))
(- -1 eps)
1
(+ (* (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps))) (* 1/2 x)) 1)
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps)))
(+ eps 1)
eps
1
(+ -1 (/ 1 eps))
-1
(/ 1 eps)
(* (+ 1 (/ 1 eps)) (+ -1 eps))
(+ 1 (/ 1 eps))
(+ -1 eps)
(* 1/2 x)
1/2
x
(* 1/2 (* (exp (- 0 x)) (+ (+ x 2) x)))
1/2
(* (exp (- 0 x)) (+ (+ x 2) x))
(exp (- 0 x))
(- 0 x)
0
x
(+ (+ x 2) x)
(+ x 2)
2
(+ (* 1/2 (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1)))))))) 1)
1/2
(* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1)))))))
x
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1))))))
(+ eps 1)
eps
1
(+ -1 (/ 1 eps))
-1
(/ 1 eps)
(+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1)))))
(+ 1 (/ 1 eps))
(+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))
(* 1/2 x)
(* (- 1 eps) (- 1 eps))
(- 1 eps)
(+ -1 eps)
(* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1))))
(* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1)))
(* -1/2 (+ -1 (/ 1 eps)))
-1/2
(* (+ eps 1) (+ eps 1))
Outputs
(* 1/2 (+ (exp (* x (+ -1 eps))) (exp (* x (- -1 eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x (+.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64))) (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64)))))
1/2
#s(literal 1/2 binary64)
(+ (exp (* x (+ -1 eps))) (exp (* x (- -1 eps))))
(+.f64 (exp.f64 (fma.f64 x (+.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64))) (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64))))
(exp (* x (+ -1 eps)))
(exp.f64 (fma.f64 x (+.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64)))
(* x (+ -1 eps))
(fma.f64 x (+.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64))
x
(+ -1 eps)
(+.f64 #s(literal -1 binary64) eps)
-1
#s(literal -1 binary64)
eps
(exp (* x (- -1 eps)))
(exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64)))
(* x (- -1 eps))
(fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64))
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
1
#s(literal 1 binary64)
(+ (* (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps))) (* 1/2 x)) 1)
(fma.f64 x #s(literal 0 binary64) #s(literal 1 binary64))
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps)))
#s(literal 0 binary64)
(+ eps 1)
(+.f64 eps #s(literal 1 binary64))
eps
1
#s(literal 1 binary64)
(+ -1 (/ 1 eps))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
-1
#s(literal -1 binary64)
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(* (+ 1 (/ 1 eps)) (+ -1 eps))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps))
(+ 1 (/ 1 eps))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(+ -1 eps)
(+.f64 #s(literal -1 binary64) eps)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
x
(* 1/2 (* (exp (- 0 x)) (+ (+ x 2) x)))
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (+.f64 x x) #s(literal 1 binary64)))
1/2
#s(literal 1/2 binary64)
(* (exp (- 0 x)) (+ (+ x 2) x))
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))
(exp (- 0 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
x
(+ (+ x 2) x)
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(+ x 2)
(+.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (* 1/2 (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1)))))))) 1)
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (fma.f64 eps #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 0 binary64))) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1)))))))
(*.f64 x (fma.f64 x (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (fma.f64 eps #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 0 binary64)))
x
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1))))))
(fma.f64 x (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (fma.f64 eps #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) #s(literal 0 binary64))
(+ eps 1)
(+.f64 eps #s(literal 1 binary64))
eps
1
#s(literal 1 binary64)
(+ -1 (/ 1 eps))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
-1
#s(literal -1 binary64)
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1)))))
(fma.f64 x (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (-.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64)))
(+ 1 (/ 1 eps))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))
(+.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) eps) #s(literal 0 binary64)) (fma.f64 eps #s(literal -1/2 binary64) #s(literal 1/2 binary64)) eps))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* (- 1 eps) (- 1 eps))
(*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))
(- 1 eps)
(-.f64 #s(literal 1 binary64) eps)
(+ -1 eps)
(+.f64 #s(literal -1 binary64) eps)
(* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1))))
(fma.f64 x (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64)))
(* -1/2 (+ -1 (/ 1 eps)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))
-1/2
#s(literal -1/2 binary64)
(* (+ eps 1) (+ eps 1))
(fma.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 eps #s(literal 1 binary64))) #s(literal 1 binary64))

localize537.0ms (3.1%)

Memory
-4.3MiB live, 746.5MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy91.5%
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))
accuracy91.4%
(*.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))
accuracy86.2%
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))
accuracy55.0%
(fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
accuracy100.0%
(exp.f64 (-.f64 #s(literal 0 binary64) x))
accuracy100.0%
(+.f64 (+.f64 x #s(literal 2 binary64)) x)
accuracy100.0%
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
accuracy100.0%
(+.f64 #s(literal -1 binary64) eps)
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) x)
accuracy100.0%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))
accuracy94.3%
(fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)))
accuracy100.0%
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
accuracy100.0%
(exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))
accuracy100.0%
(*.f64 x (+.f64 #s(literal -1 binary64) eps))
accuracy100.0%
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
Samples
110.0ms168×1valid
91.0ms88×2valid
Compiler

Compiled 461 to 48 computations (89.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 147.0ms
ival-mult: 59.0ms (40.2% of total)
ival-add: 43.0ms (29.3% of total)
adjust: 21.0ms (14.3% of total)
ival-exp: 11.0ms (7.5% of total)
ival-sub: 7.0ms (4.8% of total)
ival-div: 4.0ms (2.7% of total)
exact: 1.0ms (0.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series118.0ms (0.7%)

Memory
3.5MiB live, 78.6MiB allocated
Counts
23 → 408
Calls
Call 1
Inputs
#<alt (* 1/2 (+ (exp (* x (+ -1 eps))) (exp (* x (- -1 eps)))))>
#<alt (+ (exp (* x (+ -1 eps))) (exp (* x (- -1 eps))))>
#<alt (exp (* x (+ -1 eps)))>
#<alt (+ -1 eps)>
#<alt (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps)))>
#<alt (+ (* (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps))) (* 1/2 x)) 1)>
#<alt (* (+ 1 (/ 1 eps)) (+ -1 eps))>
#<alt (+ eps 1)>
#<alt (* 1/2 (* (exp (- 0 x)) (+ (+ x 2) x)))>
#<alt (* (exp (- 0 x)) (+ (+ x 2) x))>
#<alt (exp (- 0 x))>
#<alt (- 0 x)>
#<alt (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1))))))>
#<alt (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1)))))>
#<alt (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1)))>
#<alt (* -1/2 (+ -1 (/ 1 eps)))>
#<alt (* x (- -1 eps))>
#<alt (* x (+ -1 eps))>
#<alt (exp (* x (- -1 eps)))>
#<alt (* 1/2 x)>
#<alt (+ (+ x 2) x)>
#<alt (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1))))>
#<alt (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))>
#<alt (+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)))))>
#<alt (+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (exp (* -1 x))>
#<alt (+ (exp (* -1 x)) (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))>
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#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 x))>
#<alt (+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt 2>
#<alt (+ 2 (* 2 x))>
#<alt (+ 2 (* 2 x))>
#<alt (+ 2 (* 2 x))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))>
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))>
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))>
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))>
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))>
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))>
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))>
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))>
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))>
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))>
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))>
#<alt (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))>
#<alt (* -1/2 (/ x eps))>
#<alt (/ (+ (* -1/2 x) (* -1/2 (* eps x))) eps)>
#<alt (/ (+ (* -1/2 x) (* eps (+ (* -1/2 x) (* 1/2 (* eps x))))) eps)>
#<alt (/ (+ (* -1/2 x) (* eps (+ (* -1/2 x) (* eps (+ (* 1/2 x) (* 1/2 (* eps x))))))) eps)>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* 1/2 x) (* 1/2 (/ x eps))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/2 x) (* 1/2 (/ x eps)))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 3))) (+ (* 1/2 x) (* 1/2 (/ x eps))))))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* 1/2 x) (* 1/2 (/ x eps))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ x eps))) eps)) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 x) (* -1/2 (/ x eps))) eps)) (* -1/2 x)) eps)) (* 1/2 x)))>
#<alt (- eps 1)>
#<alt (- (+ eps (* 1/2 (* x (pow (- 1 eps) 2)))) 1)>
#<alt (- (+ eps (* 1/2 (* x (pow (- 1 eps) 2)))) 1)>
#<alt (- (+ eps (* 1/2 (* x (pow (- 1 eps) 2)))) 1)>
#<alt (* 1/2 (* x (pow (- 1 eps) 2)))>
#<alt (* x (- (+ (* 1/2 (pow (- 1 eps) 2)) (/ eps x)) (/ 1 x)))>
#<alt (* x (- (+ (* 1/2 (pow (- 1 eps) 2)) (/ eps x)) (/ 1 x)))>
#<alt (* x (- (+ (* 1/2 (pow (- 1 eps) 2)) (/ eps x)) (/ 1 x)))>
#<alt (* 1/2 (* x (pow (- 1 eps) 2)))>
#<alt (* -1 (* x (+ (* -1 (/ (- eps 1) x)) (* -1/2 (pow (- 1 eps) 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (- eps 1) x)) (* -1/2 (pow (- 1 eps) 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (- eps 1) x)) (* -1/2 (pow (- 1 eps) 2)))))>
#<alt (- (* 1/2 x) 1)>
#<alt (- (+ (* 1/2 x) (* eps (+ 1 (* -1 x)))) 1)>
#<alt (- (+ (* 1/2 x) (* eps (+ 1 (+ (* -1 x) (* 1/2 (* eps x)))))) 1)>
#<alt (- (+ (* 1/2 x) (* eps (+ 1 (+ (* -1 x) (* 1/2 (* eps x)))))) 1)>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1 (/ x eps)) (+ (* 1/2 x) (/ 1 eps))))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ 1 eps)))) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ 1 eps)))) (/ 1 (pow eps 2))))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- x 1) eps)) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (+ x (* -1 (/ (- (* 1/2 x) 1) eps))) 1) eps)) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (+ x (* -1 (/ (- (* 1/2 x) 1) eps))) 1) eps)) (* 1/2 x)))>
Calls

102 calls:

TimeVariablePointExpression
83.0ms
eps
@0
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps)))
5.0ms
eps
@-inf
(+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))
2.0ms
x
@inf
(+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))
1.0ms
x
@0
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1))))))
1.0ms
eps
@-inf
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps)))

rewrite434.0ms (2.5%)

Memory
-11.8MiB live, 865.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 816×/-lowering-/.f32
3 816×/-lowering-/.f64
3 246×*-lowering-*.f32
3 246×*-lowering-*.f64
3 182×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043270
1308258
23232258
08452249
Stop Event
iter limit
node limit
Counts
23 → 709
Calls
Call 1
Inputs
(* 1/2 (+ (exp (* x (+ -1 eps))) (exp (* x (- -1 eps)))))
(+ (exp (* x (+ -1 eps))) (exp (* x (- -1 eps))))
(exp (* x (+ -1 eps)))
(+ -1 eps)
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps)))
(+ (* (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps))) (* 1/2 x)) 1)
(* (+ 1 (/ 1 eps)) (+ -1 eps))
(+ eps 1)
(* 1/2 (* (exp (- 0 x)) (+ (+ x 2) x)))
(* (exp (- 0 x)) (+ (+ x 2) x))
(exp (- 0 x))
(- 0 x)
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1))))))
(+ (* (+ 1 (/ 1 eps)) (+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))) (* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1)))))
(* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1)))
(* -1/2 (+ -1 (/ 1 eps)))
(* x (- -1 eps))
(* x (+ -1 eps))
(exp (* x (- -1 eps)))
(* 1/2 x)
(+ (+ x 2) x)
(* x (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ eps 1) (+ eps 1))))
(+ (* (* 1/2 x) (* (- 1 eps) (- 1 eps))) (+ -1 eps))
Outputs
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))))
(fma.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))))
(/.f64 (fma.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) #s(literal 1/8 binary64) (*.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 (+.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))) (-.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 (+.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (neg.f64 (fma.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) #s(literal 1/8 binary64) (*.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))))) (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 (+.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))))) (neg.f64 (-.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 (+.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (-.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64))
(+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))))) (/.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))))))
(fma.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))))
(fma.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(fma.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 (*.f64 x (-.f64 #s(literal 0 binary64) eps))) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))))
(fma.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) eps) x)) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))))
(fma.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 0 binary64) eps))) (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))))
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simplify508.0ms (3%)

Memory
-11.1MiB live, 886.2MiB allocated
Algorithm
egg-herbie
Rules
11 442×accelerator-lowering-fma.f32
11 442×accelerator-lowering-fma.f64
4 692×*-lowering-*.f32
4 692×*-lowering-*.f64
3 788×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05894797
119764390
266274295
085804085
Stop Event
iter limit
node limit
Counts
408 → 408
Calls
Call 1
Inputs
1
(+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)))))
(+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(exp (* -1 x))
(+ (exp (* -1 x)) (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))))
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))))
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
2
(+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1)))
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- eps 1) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))))) 1)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(* 2 (exp (* -1 x)))
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x)))))))
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x)))))) (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x)))))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))
1
(+ 1 (* x (- eps 1)))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* -1 x))
(+ (exp (* -1 x)) (* eps (* x (exp (* -1 x)))))
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))
(+ (exp (* -1 x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x))))))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
-1
(- eps 1)
(- eps 1)
(- eps 1)
eps
(* eps (- 1 (/ 1 eps)))
(* eps (- 1 (/ 1 eps)))
(* eps (- 1 (/ 1 eps)))
eps
(* -1 (* eps (- (/ 1 eps) 1)))
(* -1 (* eps (- (/ 1 eps) 1)))
(* -1 (* eps (- (/ 1 eps) 1)))
0
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
1
1
1
1
1
(+ 1 (* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))))
(+ 1 (* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))))
(+ 1 (* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))))
(* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))
(* x (+ (* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x)))
(* x (+ (* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x)))
(* x (+ (* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x)))
(* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))
(* -1 (* x (- (* -1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x))))
(* -1 (* x (- (* -1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x))))
(* -1 (* x (- (* -1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x))))
(/ -1 eps)
(/ (- (pow eps 2) 1) eps)
(/ (- (pow eps 2) 1) eps)
(/ (- (pow eps 2) 1) eps)
eps
(* eps (- 1 (/ 1 (pow eps 2))))
(* eps (- 1 (/ 1 (pow eps 2))))
(* eps (- 1 (/ 1 (pow eps 2))))
eps
(* -1 (* eps (- (/ 1 (pow eps 2)) 1)))
(* -1 (* eps (- (/ 1 (pow eps 2)) 1)))
(* -1 (* eps (- (/ 1 (pow eps 2)) 1)))
1
(+ 1 eps)
(+ 1 eps)
(+ 1 eps)
eps
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
eps
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))
(+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))
(* x (exp (neg x)))
(* x (+ (exp (neg x)) (/ (exp (neg x)) x)))
(* x (+ (exp (neg x)) (/ (exp (neg x)) x)))
(* x (+ (exp (neg x)) (/ (exp (neg x)) x)))
(* x (exp (* -1 x)))
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))
2
(+ 2 (* -1 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 2/3 x) 1)))
(+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1)))
(* 2 (* x (exp (neg x))))
(* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))
(* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))
(* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))
(* 2 (* x (exp (* -1 x))))
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (+ (* -1/2 x) (* 1/2 x)) eps)
(/ (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* -1/2 x) (* 1/2 x)))))) eps)
(/ (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ x (* -1 x))))))))) eps)
(/ (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ x (+ (* -1 x) (* eps x)))))))))) eps)
(* (pow eps 2) x)
(* (pow eps 2) (+ x (+ (* -1 (/ x eps)) (/ x eps))))
(* (pow eps 2) (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/2 (/ x (pow eps 2))) (/ x eps)))))))
(* (pow eps 2) (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 3))) (+ (* 1/2 (/ x (pow eps 2))) (+ (* 1/2 (/ x (pow eps 3))) (/ x eps)))))))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* -1 (/ (+ x (* -1 x)) eps))))
(* (pow eps 2) (+ x (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (* -1 (- x 1)) (+ (* -1/2 x) (* 1/2 x))) 1) eps)))) eps))))
(* (pow eps 2) (+ x (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (- (+ (* -1 (- x 1)) (+ (* -1 (/ (- (+ (* -1 (- (* 1/2 x) 1)) (* 1/2 x)) 1) eps)) (+ (* -1/2 x) (* 1/2 x)))) 1) eps)))) eps))))
(+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))
(+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))
(+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))
(+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))))
(* -1 (* x (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))
(* -1 (* x (+ (* -1 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))))
(* -1 (* x (+ (* -1 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))))
(* -1 (* x (+ (* -1 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))))
(/ (- (+ (* -1/2 x) (* 1/2 x)) 1) eps)
(/ (- (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* -1/2 x) (* 1/2 x)))))) 1) eps)
(/ (- (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ 1 (+ x (* -1 x)))))))))) 1) eps)
(/ (- (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ (* -1 x) (+ (* -1/2 x) (+ (* 1/2 x) (* eps (+ 1 (+ x (+ (* -1 x) (* eps x))))))))))) 1) eps)
(* (pow eps 2) x)
(* (pow eps 2) (+ x (+ (* -1 (/ x eps)) (+ (/ 1 eps) (/ x eps)))))
(* (pow eps 2) (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/2 (/ x (pow eps 2))) (+ (/ 1 eps) (/ x eps))))))))
(* (pow eps 2) (- (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 3))) (+ (* 1/2 (/ x (pow eps 2))) (+ (* 1/2 (/ x (pow eps 3))) (+ (/ 1 eps) (/ x eps))))))))) (/ 1 (pow eps 3))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* -1 (/ (- (+ x (* -1 x)) 1) eps))))
(* (pow eps 2) (+ x (* -1 (/ (- (+ x (+ (* -1 x) (* -1 (/ (- (+ (* -1 (- x 1)) (+ (* -1/2 x) (* 1/2 x))) 1) eps)))) 1) eps))))
(* (pow eps 2) (+ x (* -1 (/ (- (+ x (+ (* -1 x) (* -1 (/ (- (+ (* -1 (- x 1)) (+ (* -1 (/ (+ (* -1 (- (* 1/2 x) 1)) (* 1/2 x)) eps)) (+ (* -1/2 x) (* 1/2 x)))) 1) eps)))) 1) eps))))
(* (+ 1 (/ 1 eps)) (- eps 1))
(+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))
(+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))
(+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2)))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x))))
(* -1 (* x (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))
(* -1 (* x (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))))
(* -1 (* x (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))))
(* -1 (* x (+ (* -1 (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)) (+ (* -1/2 (* (+ 1 (/ 1 eps)) (pow (- 1 eps) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))))
(/ -1/2 eps)
(/ (- (* -1/2 eps) 1/2) eps)
(/ (- (* eps (- (* 1/2 eps) 1/2)) 1/2) eps)
(/ (- (* eps (- (* eps (+ 1/2 (* 1/2 eps))) 1/2)) 1/2) eps)
(* 1/2 (pow eps 2))
(* (pow eps 2) (+ 1/2 (* 1/2 (/ 1 eps))))
(* (pow eps 2) (- (+ 1/2 (* 1/2 (/ 1 eps))) (/ 1/2 (pow eps 2))))
(* (pow eps 2) (+ 1/2 (+ (* -1 (/ (+ 1/2 (* 1/2 (/ 1 eps))) (pow eps 2))) (* 1/2 (/ 1 eps)))))
(* 1/2 (pow eps 2))
(* (pow eps 2) (+ 1/2 (* 1/2 (/ 1 eps))))
(* (pow eps 2) (+ 1/2 (* -1 (/ (- (* 1/2 (/ 1 eps)) 1/2) eps))))
(* (pow eps 2) (+ 1/2 (* -1 (/ (- (+ (/ 1/2 (pow eps 2)) (* 1/2 (/ 1 eps))) 1/2) eps))))
(/ -1/2 eps)
(/ (- (* 1/2 eps) 1/2) eps)
(/ (- (* 1/2 eps) 1/2) eps)
(/ (- (* 1/2 eps) 1/2) eps)
1/2
(- 1/2 (* 1/2 (/ 1 eps)))
(- 1/2 (* 1/2 (/ 1 eps)))
(- 1/2 (* 1/2 (/ 1 eps)))
1/2
(- 1/2 (* 1/2 (/ 1 eps)))
(- 1/2 (* 1/2 (/ 1 eps)))
(- 1/2 (* 1/2 (/ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 x)
(+ (* -1 x) (* -1 (* eps x)))
(+ (* -1 x) (* -1 (* eps x)))
(+ (* -1 x) (* -1 (* eps x)))
(* -1 (* eps x))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* -1 (* eps x))
(* -1 (* eps (+ x (/ x eps))))
(* -1 (* eps (+ x (/ x eps))))
(* -1 (* eps (+ x (/ x eps))))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* -1 x)
(+ (* -1 x) (* eps x))
(+ (* -1 x) (* eps x))
(+ (* -1 x) (* eps x))
(* eps x)
(* eps (+ x (* -1 (/ x eps))))
(* eps (+ x (* -1 (/ x eps))))
(* eps (+ x (* -1 (/ x eps))))
(* eps x)
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
1
(+ 1 (* -1 (* x (+ 1 eps))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 x))
(+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x))))))
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))))))
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
2
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(* -1/2 (/ x eps))
(/ (+ (* -1/2 x) (* -1/2 (* eps x))) eps)
(/ (+ (* -1/2 x) (* eps (+ (* -1/2 x) (* 1/2 (* eps x))))) eps)
(/ (+ (* -1/2 x) (* eps (+ (* -1/2 x) (* eps (+ (* 1/2 x) (* 1/2 (* eps x))))))) eps)
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 1/2 x) (* 1/2 (/ x eps))))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/2 x) (* 1/2 (/ x eps)))))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 3))) (+ (* 1/2 x) (* 1/2 (/ x eps))))))
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 1/2 x) (* 1/2 (/ x eps))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ x eps))) eps)) (* 1/2 x)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 x) (* -1/2 (/ x eps))) eps)) (* -1/2 x)) eps)) (* 1/2 x)))
(- eps 1)
(- (+ eps (* 1/2 (* x (pow (- 1 eps) 2)))) 1)
(- (+ eps (* 1/2 (* x (pow (- 1 eps) 2)))) 1)
(- (+ eps (* 1/2 (* x (pow (- 1 eps) 2)))) 1)
(* 1/2 (* x (pow (- 1 eps) 2)))
(* x (- (+ (* 1/2 (pow (- 1 eps) 2)) (/ eps x)) (/ 1 x)))
(* x (- (+ (* 1/2 (pow (- 1 eps) 2)) (/ eps x)) (/ 1 x)))
(* x (- (+ (* 1/2 (pow (- 1 eps) 2)) (/ eps x)) (/ 1 x)))
(* 1/2 (* x (pow (- 1 eps) 2)))
(* -1 (* x (+ (* -1 (/ (- eps 1) x)) (* -1/2 (pow (- 1 eps) 2)))))
(* -1 (* x (+ (* -1 (/ (- eps 1) x)) (* -1/2 (pow (- 1 eps) 2)))))
(* -1 (* x (+ (* -1 (/ (- eps 1) x)) (* -1/2 (pow (- 1 eps) 2)))))
(- (* 1/2 x) 1)
(- (+ (* 1/2 x) (* eps (+ 1 (* -1 x)))) 1)
(- (+ (* 1/2 x) (* eps (+ 1 (+ (* -1 x) (* 1/2 (* eps x)))))) 1)
(- (+ (* 1/2 x) (* eps (+ 1 (+ (* -1 x) (* 1/2 (* eps x)))))) 1)
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1 (/ x eps)) (+ (* 1/2 x) (/ 1 eps))))
(* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ 1 eps)))) (/ 1 (pow eps 2))))
(* (pow eps 2) (- (+ (* -1 (/ x eps)) (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ 1 eps)))) (/ 1 (pow eps 2))))
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1 (/ (- x 1) eps)) (* 1/2 x)))
(* (pow eps 2) (+ (* -1 (/ (- (+ x (* -1 (/ (- (* 1/2 x) 1) eps))) 1) eps)) (* 1/2 x)))
(* (pow eps 2) (+ (* -1 (/ (- (+ x (* -1 (/ (- (* 1/2 x) 1) eps))) 1) eps)) (* 1/2 x)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)))))
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
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2
#s(literal 2 binary64)
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(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/2 (/ x (pow eps 3))) (+ (* 1/2 x) (* 1/2 (/ x eps))))))
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(- eps 1)
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eval439.0ms (2.6%)

Memory
21.4MiB live, 525.9MiB allocated
Compiler

Compiled 60 296 to 4 862 computations (91.9% saved)

prune333.0ms (1.9%)

Memory
6.0MiB live, 438.0MiB allocated
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New1 398201 418
Fresh202
Picked415
Done000
Total1 404211 425
Accuracy
100.0%
Counts
1 425 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
35.7%
(fma.f64 (fma.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
40.4%
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
50.0%
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
73.5%
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
40.5%
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
40.3%
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
72.4%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1 binary64))
63.5%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)))) #s(literal 1 binary64))
61.9%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64))
74.2%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64))
74.8%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) x) #s(literal 0 binary64)) eps)) #s(literal 1 binary64))
16.1%
(*.f64 (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x))
37.5%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
57.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)))) #s(literal -1 binary64)) eps) #s(literal 1 binary64))))
62.6%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64)))
84.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
61.9%
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
49.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
40.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
69.7%
(exp.f64 (-.f64 #s(literal 0 binary64) x))
41.3%
#s(literal 1 binary64)
Compiler

Compiled 873 to 515 computations (41% saved)

simplify494.0ms (2.9%)

Memory
-27.7MiB live, 864.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps)))
cost-diff0
(fma.f64 (fma.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
cost-diff512
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))
cost-diff576
(fma.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)))
cost-diff0
(+.f64 eps #s(literal 1 binary64))
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)))) #s(literal 1 binary64))
cost-diff64
(fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))
cost-diff704
(fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)))
cost-diff-64
(*.f64 eps eps)
cost-diff-64
(*.f64 x (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)))
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64))
cost-diff64
(fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))
cost-diff0
(*.f64 x #s(literal -1/2 binary64))
cost-diff0
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
cost-diff0
(*.f64 x eps)
cost-diff0
(exp.f64 (*.f64 x eps))
cost-diff0
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Rules
19 484×accelerator-lowering-fma.f32
19 484×accelerator-lowering-fma.f64
3 428×*-lowering-*.f32
3 428×*-lowering-*.f64
3 334×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044299
1132299
2369299
31198279
44892271
08202257
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* 1/2 (+ (exp (* x eps)) (exp (* x (- -1 eps)))))
1/2
(+ (exp (* x eps)) (exp (* x (- -1 eps))))
(exp (* x eps))
(* x eps)
x
eps
(exp (* x (- -1 eps)))
(* x (- -1 eps))
(- -1 eps)
-1
(+ (* x (* x -1/2)) 1)
x
(* x -1/2)
-1/2
1
(+ (* 1/2 (* x (+ (* x (* eps eps)) 0))) 1)
1/2
(* x (+ (* x (* eps eps)) 0))
x
(+ (* x (* eps eps)) 0)
(* eps eps)
eps
0
1
(+ (* 1/2 (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* x (* eps eps)) 0)))) 1)
1/2
(* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* x (* eps eps)) 0)))
x
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* x (* eps eps)) 0))
(+ eps 1)
eps
1
(+ -1 (/ 1 eps))
-1
(/ 1 eps)
(+ (* x (* eps eps)) 0)
(* eps eps)
0
(+ (* (+ (* (/ (+ (* eps (* eps eps)) 1) (+ (* eps eps) (- 1 eps))) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps))) (* 1/2 x)) 1)
(+ (* (/ (+ (* eps (* eps eps)) 1) (+ (* eps eps) (- 1 eps))) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps)))
(/ (+ (* eps (* eps eps)) 1) (+ (* eps eps) (- 1 eps)))
(+ (* eps (* eps eps)) 1)
eps
(* eps eps)
1
(+ (* eps eps) (- 1 eps))
(- 1 eps)
(+ -1 (/ 1 eps))
-1
(/ 1 eps)
(* (+ 1 (/ 1 eps)) (+ -1 eps))
(+ 1 (/ 1 eps))
(+ -1 eps)
(* 1/2 x)
1/2
x
Outputs
(* 1/2 (+ (exp (* x eps)) (exp (* x (- -1 eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64)))))
1/2
#s(literal 1/2 binary64)
(+ (exp (* x eps)) (exp (* x (- -1 eps))))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64))))
(exp (* x eps))
(exp.f64 (*.f64 x eps))
(* x eps)
(*.f64 x eps)
x
eps
(exp (* x (- -1 eps)))
(exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64)))
(* x (- -1 eps))
(fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 0 binary64))
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
-1
#s(literal -1 binary64)
(+ (* x (* x -1/2)) 1)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
x
(* x -1/2)
(*.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
1
#s(literal 1 binary64)
(+ (* 1/2 (* x (+ (* x (* eps eps)) 0))) 1)
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 eps (*.f64 x eps) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(* x (+ (* x (* eps eps)) 0))
(fma.f64 x (fma.f64 eps (*.f64 x eps) #s(literal 0 binary64)) #s(literal 0 binary64))
x
(+ (* x (* eps eps)) 0)
(fma.f64 eps (*.f64 x eps) #s(literal 0 binary64))
(* eps eps)
(fma.f64 eps eps #s(literal 0 binary64))
eps
0
#s(literal 0 binary64)
1
#s(literal 1 binary64)
(+ (* 1/2 (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* x (* eps eps)) 0)))) 1)
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) eps)) #s(literal 0 binary64)) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* x (* eps eps)) 0)))
(fma.f64 x (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) eps)) #s(literal 0 binary64))
x
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* x (* eps eps)) 0))
(fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) eps))
(+ eps 1)
(+.f64 eps #s(literal 1 binary64))
eps
1
#s(literal 1 binary64)
(+ -1 (/ 1 eps))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
-1
#s(literal -1 binary64)
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(+ (* x (* eps eps)) 0)
(fma.f64 eps (*.f64 x eps) #s(literal 0 binary64))
(* eps eps)
(fma.f64 eps eps #s(literal 0 binary64))
0
#s(literal 0 binary64)
(+ (* (+ (* (/ (+ (* eps (* eps eps)) 1) (+ (* eps eps) (- 1 eps))) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps))) (* 1/2 x)) 1)
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 1 binary64)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
(+ (* (/ (+ (* eps (* eps eps)) 1) (+ (* eps eps) (- 1 eps))) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 1 binary64)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps)))
(/ (+ (* eps (* eps eps)) 1) (+ (* eps eps) (- 1 eps)))
(/.f64 (fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 1 binary64)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))
(+ (* eps (* eps eps)) 1)
(fma.f64 eps (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 1 binary64))
eps
(* eps eps)
(fma.f64 eps eps #s(literal 0 binary64))
1
#s(literal 1 binary64)
(+ (* eps eps) (- 1 eps))
(fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))
(- 1 eps)
(-.f64 #s(literal 1 binary64) eps)
(+ -1 (/ 1 eps))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
-1
#s(literal -1 binary64)
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(* (+ 1 (/ 1 eps)) (+ -1 eps))
(+.f64 eps (/.f64 #s(literal -1 binary64) eps))
(+ 1 (/ 1 eps))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(+ -1 eps)
(+.f64 eps #s(literal -1 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
x

localize274.0ms (1.6%)

Memory
16.2MiB live, 661.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))
accuracy99.9%
(fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))
accuracy94.3%
(fma.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)))
accuracy62.9%
(/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps)))
accuracy100.0%
(*.f64 eps eps)
accuracy100.0%
(fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)))
accuracy96.4%
(*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))))
accuracy87.9%
(fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))
accuracy100.0%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64))
accuracy100.0%
(*.f64 eps eps)
accuracy95.7%
(*.f64 x (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)))
accuracy87.9%
(fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))
accuracy100.0%
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
accuracy100.0%
(*.f64 x #s(literal -1/2 binary64))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
accuracy100.0%
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
accuracy100.0%
(exp.f64 (*.f64 x eps))
accuracy100.0%
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
Samples
106.0ms168×1valid
91.0ms88×2valid
Compiler

Compiled 299 to 46 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 149.0ms
ival-mult: 55.0ms (36.9% of total)
ival-add: 48.0ms (32.2% of total)
adjust: 21.0ms (14.1% of total)
ival-div: 10.0ms (6.7% of total)
ival-exp: 8.0ms (5.4% of total)
ival-sub: 6.0ms (4% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series29.0ms (0.2%)

Memory
-19.1MiB live, 57.8MiB allocated
Counts
21 → 408
Calls
Call 1
Inputs
#<alt (* 1/2 (+ (exp (* x eps)) (exp (* x (- -1 eps)))))>
#<alt (+ (exp (* x eps)) (exp (* x (- -1 eps))))>
#<alt (exp (* x eps))>
#<alt (* x eps)>
#<alt (+ (* x (* x -1/2)) 1)>
#<alt (* x -1/2)>
#<alt (+ (* x (* eps eps)) 0)>
#<alt (+ (* 1/2 (* x (+ (* x (* eps eps)) 0))) 1)>
#<alt (* x (+ (* x (* eps eps)) 0))>
#<alt (* eps eps)>
#<alt (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* x (* eps eps)) 0))>
#<alt (+ (* 1/2 (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* x (* eps eps)) 0)))) 1)>
#<alt (+ eps 1)>
#<alt (+ (* (/ (+ (* eps (* eps eps)) 1) (+ (* eps eps) (- 1 eps))) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps)))>
#<alt (* (+ 1 (/ 1 eps)) (+ -1 eps))>
#<alt (+ (* (+ (* (/ (+ (* eps (* eps eps)) 1) (+ (* eps eps) (- 1 eps))) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps))) (* 1/2 x)) 1)>
#<alt (/ (+ (* eps (* eps eps)) 1) (+ (* eps eps) (- 1 eps)))>
#<alt (* x (- -1 eps))>
#<alt (exp (* x (- -1 eps)))>
#<alt (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* x (* eps eps)) 0)))>
#<alt (+ (* eps (* eps eps)) 1)>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (+ eps (* -1 (+ 1 eps))))))>
#<alt (+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))) (* 1/2 (+ eps (* -1 (+ 1 eps)))))))>
#<alt (+ 1 (* x (+ (* 1/2 (+ eps (* -1 (+ 1 eps)))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3))))) (* 1/2 (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2)))))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
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#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow x 2) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2)))>
#<alt (* (pow x 2) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2)))>
#<alt (* (pow x 2) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2)))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow x 2) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2)))>
#<alt (* (pow x 2) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2)))>
#<alt (* (pow x 2) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2)))>
#<alt (/ x eps)>
#<alt (/ (+ x (* -1 (* (pow eps 2) x))) eps)>
#<alt (/ (+ x (* (pow eps 2) (+ (* -1 x) (* eps (pow x 2))))) eps)>
#<alt (/ (+ x (* (pow eps 2) (+ (* -1 x) (* eps (pow x 2))))) eps)>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (+ (* -1 (/ x eps)) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ x eps)) (+ (/ x (pow eps 3)) (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ x eps)) (+ (/ x (pow eps 3)) (pow x 2))))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (+ (* -1 (/ x eps)) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ x (* -1 (/ x (pow eps 2)))) eps)) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ x (* -1 (/ x (pow eps 2)))) eps)) (pow x 2)))>
#<alt 1>
#<alt (+ 1 (pow eps 3))>
#<alt (+ 1 (pow eps 3))>
#<alt (+ 1 (pow eps 3))>
#<alt (pow eps 3)>
#<alt (* (pow eps 3) (+ 1 (/ 1 (pow eps 3))))>
#<alt (* (pow eps 3) (+ 1 (/ 1 (pow eps 3))))>
#<alt (* (pow eps 3) (+ 1 (/ 1 (pow eps 3))))>
#<alt (pow eps 3)>
#<alt (* (pow eps 3) (+ 1 (/ 1 (pow eps 3))))>
#<alt (* (pow eps 3) (+ 1 (/ 1 (pow eps 3))))>
#<alt (* (pow eps 3) (+ 1 (/ 1 (pow eps 3))))>
Calls

102 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(+ (* 1/2 (* x (+ (* x (* eps eps)) 0))) 1)
1.0ms
eps
@inf
(+ (* (/ (+ (* eps (* eps eps)) 1) (+ (* eps eps) (- 1 eps))) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps)))
1.0ms
x
@0
(+ (* (+ (* (/ (+ (* eps (* eps eps)) 1) (+ (* eps eps) (- 1 eps))) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps))) (* 1/2 x)) 1)
1.0ms
eps
@0
(+ (* (/ (+ (* eps (* eps eps)) 1) (+ (* eps eps) (- 1 eps))) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps)))
1.0ms
eps
@-inf
(+ (* (/ (+ (* eps (* eps eps)) 1) (+ (* eps eps) (- 1 eps))) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps)))

rewrite557.0ms (3.2%)

Memory
31.9MiB live, 973.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 660×accelerator-lowering-fma.f32
7 660×accelerator-lowering-fma.f64
5 024×/-lowering-/.f32
5 024×/-lowering-/.f64
4 130×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044215
1307195
23217191
09384182
Stop Event
iter limit
node limit
Counts
21 → 1 498
Calls
Call 1
Inputs
(* 1/2 (+ (exp (* x eps)) (exp (* x (- -1 eps)))))
(+ (exp (* x eps)) (exp (* x (- -1 eps))))
(exp (* x eps))
(* x eps)
(+ (* x (* x -1/2)) 1)
(* x -1/2)
(+ (* x (* eps eps)) 0)
(+ (* 1/2 (* x (+ (* x (* eps eps)) 0))) 1)
(* x (+ (* x (* eps eps)) 0))
(* eps eps)
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* x (* eps eps)) 0))
(+ (* 1/2 (* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* x (* eps eps)) 0)))) 1)
(+ eps 1)
(+ (* (/ (+ (* eps (* eps eps)) 1) (+ (* eps eps) (- 1 eps))) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps)))
(* (+ 1 (/ 1 eps)) (+ -1 eps))
(+ (* (+ (* (/ (+ (* eps (* eps eps)) 1) (+ (* eps eps) (- 1 eps))) (+ -1 (/ 1 eps))) (* (+ 1 (/ 1 eps)) (+ -1 eps))) (* 1/2 x)) 1)
(/ (+ (* eps (* eps eps)) 1) (+ (* eps eps) (- 1 eps)))
(* x (- -1 eps))
(exp (* x (- -1 eps)))
(* x (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (* x (* eps eps)) 0)))
(+ (* eps (* eps eps)) 1)
Outputs
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(fma.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(/.f64 (fma.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) #s(literal 1/8 binary64) (*.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (-.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (-.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (neg.f64 (fma.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) #s(literal 1/8 binary64) (*.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))))) (neg.f64 (-.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))))) (neg.f64 (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (-.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(-.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))) (/.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))))
(fma.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) (exp.f64 (*.f64 x (-.f64 #s(literal 0 binary64) eps))) (exp.f64 (*.f64 x eps)))
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 0 binary64) eps))) (exp.f64 (*.f64 x #s(literal -1 binary64))) (exp.f64 (*.f64 x eps)))
(fma.f64 (exp.f64 (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64)))) (exp.f64 (*.f64 x eps)))
(fma.f64 (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(fma.f64 (exp.f64 (*.f64 #s(literal -1 binary64) x)) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) eps) x)) (exp.f64 (*.f64 x eps)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps))))) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps))))) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (-.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (neg.f64 (-.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))) (neg.f64 (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps eps)))) (-.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (-.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps eps))))) (neg.f64 (-.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))))
(pow.f64 (/.f64 (-.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps))))) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) #s(literal -1 binary64))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (*.f64 eps (*.f64 eps eps))) (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (fma.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (*.f64 eps (*.f64 eps eps))) (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))))
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(pow.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) (fma.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (*.f64 eps (*.f64 eps eps)))))
(*.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))))

simplify574.0ms (3.3%)

Memory
2.3MiB live, 924.8MiB allocated
Algorithm
egg-herbie
Rules
17 148×accelerator-lowering-fma.f32
17 148×accelerator-lowering-fma.f64
5 498×+-lowering-+.f64
5 498×+-lowering-+.f32
4 192×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03273712
111173570
234523472
081263280
Stop Event
iter limit
node limit
Counts
408 → 408
Calls
Call 1
Inputs
1
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1
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(+ 1 eps)
eps
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
eps
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 x)
(+ (* -1 x) (* -1 (* eps x)))
(+ (* -1 x) (* -1 (* eps x)))
(+ (* -1 x) (* -1 (* eps x)))
(* -1 (* eps x))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* -1 (* eps x))
(* -1 (* eps (+ x (/ x eps))))
(* -1 (* eps (+ x (/ x eps))))
(* -1 (* eps (+ x (/ x eps))))
1
(+ 1 (* -1 (* x (+ 1 eps))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 x))
(+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x))))))
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))))))
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(* x (* (+ 1 eps) (- (/ 1 eps) 1)))
(* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (pow eps 2) x)))
(* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (pow eps 2) x)))
(* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (pow eps 2) x)))
(* (pow eps 2) (pow x 2))
(* (pow x 2) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2)))
(* (pow x 2) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2)))
(* (pow x 2) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2)))
(* (pow eps 2) (pow x 2))
(* (pow x 2) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2)))
(* (pow x 2) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2)))
(* (pow x 2) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (pow eps 2)))
(/ x eps)
(/ (+ x (* -1 (* (pow eps 2) x))) eps)
(/ (+ x (* (pow eps 2) (+ (* -1 x) (* eps (pow x 2))))) eps)
(/ (+ x (* (pow eps 2) (+ (* -1 x) (* eps (pow x 2))))) eps)
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (+ (* -1 (/ x eps)) (pow x 2)))
(* (pow eps 2) (+ (* -1 (/ x eps)) (+ (/ x (pow eps 3)) (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ x eps)) (+ (/ x (pow eps 3)) (pow x 2))))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (+ (* -1 (/ x eps)) (pow x 2)))
(* (pow eps 2) (+ (* -1 (/ (+ x (* -1 (/ x (pow eps 2)))) eps)) (pow x 2)))
(* (pow eps 2) (+ (* -1 (/ (+ x (* -1 (/ x (pow eps 2)))) eps)) (pow x 2)))
1
(+ 1 (pow eps 3))
(+ 1 (pow eps 3))
(+ 1 (pow eps 3))
(pow eps 3)
(* (pow eps 3) (+ 1 (/ 1 (pow eps 3))))
(* (pow eps 3) (+ 1 (/ 1 (pow eps 3))))
(* (pow eps 3) (+ 1 (/ 1 (pow eps 3))))
(pow eps 3)
(* (pow eps 3) (+ 1 (/ 1 (pow eps 3))))
(* (pow eps 3) (+ 1 (/ 1 (pow eps 3))))
(* (pow eps 3) (+ 1 (/ 1 (pow eps 3))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (+ eps (* -1 (+ 1 eps))))))
(fma.f64 (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))) (* 1/2 (+ eps (* -1 (+ 1 eps)))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 eps eps (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (+ eps (* -1 (+ 1 eps)))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3))))) (* 1/2 (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2)))))))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (fma.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))) (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ 1 (exp (* -1 x))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1/2 binary64))
(+ (* 1/2 (* eps (+ x (* -1 (* x (exp (* -1 x))))))) (* 1/2 (+ 1 (exp (* -1 x)))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) eps) #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 x eps)) #s(literal 1/2 binary64))
(+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2))))) (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x eps)) (-.f64 #s(literal 0 binary64) x)) (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal 1 binary64)))) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 1/2 binary64))
(+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2)))))))))
(fma.f64 eps (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (fma.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) eps) #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 x eps)) #s(literal 1/2 binary64)))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
2
#s(literal 2 binary64)
(+ 2 (* x (+ eps (* -1 (+ 1 eps)))))
(fma.f64 x (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))
(+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))))))
(fma.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 eps eps (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64))) #s(literal 2 binary64))
(+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (+ (* 1/2 (pow (+ 1 eps) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3)))))))))))
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (fma.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))) (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64))) #s(literal 2 binary64))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ 1 (exp (* -1 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ 1 (+ (exp (* -1 x)) (* eps (+ x (* -1 (* x (exp (* -1 x))))))))
(fma.f64 x eps (fma.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) eps) #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)))
(+ 1 (+ (exp (* -1 x)) (* eps (+ x (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2)))))))))
(fma.f64 eps (fma.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x eps)) (-.f64 #s(literal 0 binary64) x)) (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(+ 1 (+ (exp (* -1 x)) (* eps (+ x (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (pow x 2)) (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))))))))))
(+.f64 (fma.f64 x eps #s(literal 1 binary64)) (fma.f64 eps (*.f64 eps (fma.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))))) (*.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) eps) #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
1
#s(literal 1 binary64)
(+ 1 (* eps x))
(fma.f64 x eps #s(literal 1 binary64))
(+ 1 (* x (+ eps (* 1/2 (* (pow eps 2) x)))))
(fma.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal 1 binary64))) #s(literal 1 binary64))
(+ 1 (* x (+ eps (* x (+ (* 1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2)))))))
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) #s(literal 1 binary64))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
1
#s(literal 1 binary64)
(+ 1 (* eps x))
(fma.f64 x eps #s(literal 1 binary64))
(+ 1 (* eps (+ x (* 1/2 (* eps (pow x 2))))))
(fma.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal 1 binary64))) #s(literal 1 binary64))
(+ 1 (* eps (+ x (* eps (+ (* 1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))
(fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* -1/2 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
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eval327.0ms (1.9%)

Memory
22.6MiB live, 600.6MiB allocated
Compiler

Compiled 77 884 to 5 926 computations (92.4% saved)

prune315.0ms (1.8%)

Memory
18.6MiB live, 578.6MiB allocated
Pruning

32 alts after pruning (29 fresh and 3 done)

PrunedKeptTotal
New2 201202 221
Fresh6915
Picked325
Done011
Total2 210322 242
Accuracy
100.0%
Counts
2 242 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.5%
(fma.f64 (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
74.2%
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps eps)) x #s(literal 1 binary64))
40.4%
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
50.0%
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
40.5%
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
40.3%
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
38.0%
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (fma.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))) (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64))
68.7%
(fma.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64))) #s(literal 1 binary64))
51.7%
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x (*.f64 x eps)) eps (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 1 binary64))
64.9%
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) x) eps) #s(literal 1 binary64))
5.6%
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) x) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
27.8%
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64))
69.0%
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1 binary64))
73.5%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 eps eps (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64))
4.5%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64))
64.2%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x eps #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) #s(literal 1 binary64))
10.3%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (/.f64 (*.f64 (*.f64 x eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64))) (*.f64 x x)) (/.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #s(literal 1 binary64))
37.4%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (/.f64 (*.f64 x eps) x) (/.f64 (*.f64 eps (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) (*.f64 eps eps)))) #s(literal 1 binary64))
72.3%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)) #s(literal 1 binary64))
16.1%
(*.f64 (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x))
19.2%
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 eps #s(literal -1 binary64)) eps)))
31.0%
(*.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64))))
32.9%
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
37.5%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
62.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
84.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
63.1%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
61.9%
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
49.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
40.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
69.7%
(exp.f64 (-.f64 #s(literal 0 binary64) x))
41.3%
#s(literal 1 binary64)
Compiler

Compiled 1 258 to 718 computations (42.9% saved)

simplify595.0ms (3.5%)

Memory
-21.2MiB live, 610.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) x) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
cost-diff64
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))
cost-diff2752
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) x) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)))
cost-diff0
(*.f64 x (*.f64 x eps))
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x (*.f64 x eps)) eps (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 1 binary64))
cost-diff384
(+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
cost-diff448
(fma.f64 (*.f64 x (*.f64 x eps)) eps (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))))
cost-diff-64
(*.f64 (*.f64 x eps) (*.f64 x eps))
cost-diff0
(*.f64 x eps)
cost-diff64
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1 binary64))
cost-diff0
(+.f64 x #s(literal 2 binary64))
cost-diff0
(+.f64 (+.f64 x #s(literal 2 binary64)) x)
cost-diff320
(*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
cost-diff512
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
cost-diff-64
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(*.f64 eps eps)
cost-diff0
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps eps)) x #s(literal 1 binary64))
cost-diff64
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps eps))
Rules
9 976×accelerator-lowering-fma.f32
9 976×accelerator-lowering-fma.f64
4 110×*-lowering-*.f32
4 110×*-lowering-*.f64
3 340×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044283
1155247
2496229
33651217
45578209
57733209
08760199
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* (* (* 1/2 x) (* eps eps)) x) 1)
(* (* 1/2 x) (* eps eps))
(* 1/2 x)
1/2
x
(* eps eps)
eps
1
(* 1/2 (* 1 (+ (+ x 2) x)))
1/2
(* 1 (+ (+ x 2) x))
1
(+ (+ x 2) x)
(+ x 2)
x
2
(+ (* 1/2 (* (* x eps) (* x eps))) 1)
1/2
(* (* x eps) (* x eps))
(* x eps)
x
eps
1
(+ (* 1/2 (+ (* (* x (* x eps)) eps) (* x (+ (- -1 eps) (+ 1 (/ 1 eps)))))) 1)
1/2
(+ (* (* x (* x eps)) eps) (* x (+ (- -1 eps) (+ 1 (/ 1 eps)))))
(* x (* x eps))
x
(* x eps)
eps
(* x (+ (- -1 eps) (+ 1 (/ 1 eps))))
(+ (- -1 eps) (+ 1 (/ 1 eps)))
(- -1 eps)
-1
(+ 1 (/ 1 eps))
1
(/ 1 eps)
(+ (* 1/2 (/ (* (+ (* (* (* eps (* eps eps)) (* eps (* eps eps))) (* x (* x x))) 0) x) (+ (* (* eps eps) (+ (* (* eps eps) (* x x)) 0)) 0))) 1)
1/2
(/ (* (+ (* (* (* eps (* eps eps)) (* eps (* eps eps))) (* x (* x x))) 0) x) (+ (* (* eps eps) (+ (* (* eps eps) (* x x)) 0)) 0))
(* (+ (* (* (* eps (* eps eps)) (* eps (* eps eps))) (* x (* x x))) 0) x)
(+ (* (* (* eps (* eps eps)) (* eps (* eps eps))) (* x (* x x))) 0)
(* (* eps (* eps eps)) (* eps (* eps eps)))
(* eps (* eps eps))
eps
(* eps eps)
(* x (* x x))
x
(* x x)
0
(+ (* (* eps eps) (+ (* (* eps eps) (* x x)) 0)) 0)
(+ (* (* eps eps) (* x x)) 0)
1
Outputs
(+ (* (* (* 1/2 x) (* eps eps)) x) 1)
(fma.f64 x (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))) #s(literal 1 binary64))
(* (* 1/2 x) (* eps eps))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
1/2
#s(literal 1/2 binary64)
x
(* eps eps)
(*.f64 eps eps)
eps
1
#s(literal 1 binary64)
(* 1/2 (* 1 (+ (+ x 2) x)))
(+.f64 x #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(* 1 (+ (+ x 2) x))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ (+ x 2) x)
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(+ x 2)
(+.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
(+ (* 1/2 (* (* x eps) (* x eps))) 1)
(fma.f64 x (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(* (* x eps) (* x eps))
(fma.f64 eps (*.f64 eps (*.f64 x x)) #s(literal 0 binary64))
(* x eps)
(*.f64 x eps)
x
eps
1
#s(literal 1 binary64)
(+ (* 1/2 (+ (* (* x (* x eps)) eps) (* x (+ (- -1 eps) (+ 1 (/ 1 eps)))))) 1)
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) eps)) #s(literal 0 binary64)) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(+ (* (* x (* x eps)) eps) (* x (+ (- -1 eps) (+ 1 (/ 1 eps)))))
(fma.f64 x (fma.f64 eps (fma.f64 x eps #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) eps)) #s(literal 0 binary64))
(* x (* x eps))
(*.f64 eps (*.f64 x x))
x
(* x eps)
(*.f64 x eps)
eps
(* x (+ (- -1 eps) (+ 1 (/ 1 eps))))
(fma.f64 x (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) #s(literal 0 binary64))
(+ (- -1 eps) (+ 1 (/ 1 eps)))
(-.f64 (/.f64 #s(literal 1 binary64) eps) eps)
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
-1
#s(literal -1 binary64)
(+ 1 (/ 1 eps))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
1
#s(literal 1 binary64)
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(+ (* 1/2 (/ (* (+ (* (* (* eps (* eps eps)) (* eps (* eps eps))) (* x (* x x))) 0) x) (+ (* (* eps eps) (+ (* (* eps eps) (* x x)) 0)) 0))) 1)
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (*.f64 x eps)) #s(literal 1 binary64))
1/2
#s(literal 1/2 binary64)
(/ (* (+ (* (* (* eps (* eps eps)) (* eps (* eps eps))) (* x (* x x))) 0) x) (+ (* (* eps eps) (+ (* (* eps eps) (* x x)) 0)) 0))
(/.f64 (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (*.f64 x eps))
(* (+ (* (* (* eps (* eps eps)) (* eps (* eps eps))) (* x (* x x))) 0) x)
(fma.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(+ (* (* (* eps (* eps eps)) (* eps (* eps eps))) (* x (* x x))) 0)
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (* eps (* eps eps)) (* eps (* eps eps)))
(*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 eps eps)))))
(* eps (* eps eps))
(*.f64 eps (*.f64 eps eps))
eps
(* eps eps)
(*.f64 eps eps)
(* x (* x x))
(*.f64 x (*.f64 x x))
x
(* x x)
(*.f64 x x)
0
#s(literal 0 binary64)
(+ (* (* eps eps) (+ (* (* eps eps) (* x x)) 0)) 0)
(fma.f64 x (*.f64 x (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 0 binary64))
(+ (* (* eps eps) (* x x)) 0)
(fma.f64 eps (*.f64 eps (*.f64 x x)) #s(literal 0 binary64))
1
#s(literal 1 binary64)

localize153.0ms (0.9%)

Memory
38.0MiB live, 232.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy94.8%
(fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))
accuracy76.5%
(fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64))
accuracy67.5%
(fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64))
accuracy27.5%
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) x) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)))
accuracy100.0%
(+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
accuracy99.8%
(*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))
accuracy99.8%
(*.f64 x (*.f64 x eps))
accuracy94.3%
(fma.f64 (*.f64 x (*.f64 x eps)) eps (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))))
accuracy100.0%
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1 binary64))
accuracy100.0%
(*.f64 x eps)
accuracy99.6%
(*.f64 (*.f64 x eps) (*.f64 x eps))
accuracy100.0%
(+.f64 x #s(literal 2 binary64))
accuracy100.0%
(*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
accuracy100.0%
(+.f64 (+.f64 x #s(literal 2 binary64)) x)
accuracy100.0%
(*.f64 eps eps)
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) x)
accuracy96.6%
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps eps)) x #s(literal 1 binary64))
accuracy87.9%
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps eps))
Samples
78.0ms256×0valid
Compiler

Compiled 326 to 46 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-mult: 31.0ms (54.6% of total)
ival-add: 20.0ms (35.3% of total)
ival-div: 3.0ms (5.3% of total)
ival-sub: 1.0ms (1.8% of total)
exact: 1.0ms (1.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series22.0ms (0.1%)

Memory
-32.3MiB live, 42.5MiB allocated
Counts
22 → 432
Calls
Call 1
Inputs
#<alt (* (* 1/2 x) (* eps eps))>
#<alt (+ (* (* (* 1/2 x) (* eps eps)) x) 1)>
#<alt (* eps eps)>
#<alt (* 1/2 x)>
#<alt (* 1/2 (* 1 (+ (+ x 2) x)))>
#<alt (* 1 (+ (+ x 2) x))>
#<alt (+ (+ x 2) x)>
#<alt (+ x 2)>
#<alt (+ (* 1/2 (* (* x eps) (* x eps))) 1)>
#<alt (* x eps)>
#<alt (* (* x eps) (* x eps))>
#<alt (+ (* (* x (* x eps)) eps) (* x (+ (- -1 eps) (+ 1 (/ 1 eps)))))>
#<alt (+ (- -1 eps) (+ 1 (/ 1 eps)))>
#<alt (+ (* 1/2 (+ (* (* x (* x eps)) eps) (* x (+ (- -1 eps) (+ 1 (/ 1 eps)))))) 1)>
#<alt (* x (* x eps))>
#<alt (/ (* (+ (* (* (* eps (* eps eps)) (* eps (* eps eps))) (* x (* x x))) 0) x) (+ (* (* eps eps) (+ (* (* eps eps) (* x x)) 0)) 0))>
#<alt (+ (* (* eps eps) (+ (* (* eps eps) (* x x)) 0)) 0)>
#<alt (+ (* 1/2 (/ (* (+ (* (* (* eps (* eps eps)) (* eps (* eps eps))) (* x (* x x))) 0) x) (+ (* (* eps eps) (+ (* (* eps eps) (* x x)) 0)) 0))) 1)>
#<alt (* (* eps (* eps eps)) (* eps (* eps eps)))>
#<alt (* x (+ (- -1 eps) (+ 1 (/ 1 eps))))>
#<alt (+ (* (* (* eps (* eps eps)) (* eps (* eps eps))) (* x (* x x))) 0)>
#<alt (+ (* (* eps eps) (* x x)) 0)>
Outputs
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt 2>
#<alt (+ 2 (* 2 x))>
#<alt (+ 2 (* 2 x))>
#<alt (+ 2 (* 2 x))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt 2>
#<alt (+ 2 (* 2 x))>
#<alt (+ 2 (* 2 x))>
#<alt (+ 2 (* 2 x))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt 2>
#<alt (+ 2 x)>
#<alt (+ 2 x)>
#<alt (+ 2 x)>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* x (- (/ 1 eps) eps))>
#<alt (* x (- (+ (* (pow eps 2) x) (/ 1 eps)) eps))>
#<alt (* x (- (+ (* (pow eps 2) x) (/ 1 eps)) eps))>
#<alt (* x (- (+ (* (pow eps 2) x) (/ 1 eps)) eps))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow x 2) (- (+ (/ 1 (* eps x)) (pow eps 2)) (/ eps x)))>
#<alt (* (pow x 2) (- (+ (/ 1 (* eps x)) (pow eps 2)) (/ eps x)))>
#<alt (* (pow x 2) (- (+ (/ 1 (* eps x)) (pow eps 2)) (/ eps x)))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow x 2) (- (+ (/ 1 (* eps x)) (pow eps 2)) (/ eps x)))>
#<alt (* (pow x 2) (- (+ (/ 1 (* eps x)) (pow eps 2)) (/ eps x)))>
#<alt (* (pow x 2) (- (+ (/ 1 (* eps x)) (pow eps 2)) (/ eps x)))>
#<alt (/ x eps)>
#<alt (/ (+ x (* -1 (* (pow eps 2) x))) eps)>
#<alt (/ (+ x (* (pow eps 2) (+ (* -1 x) (* eps (pow x 2))))) eps)>
#<alt (/ (+ x (* (pow eps 2) (+ (* -1 x) (* eps (pow x 2))))) eps)>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (+ (* -1 (/ x eps)) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ x eps)) (+ (/ x (pow eps 3)) (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ x eps)) (+ (/ x (pow eps 3)) (pow x 2))))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (+ (* -1 (/ x eps)) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ x (* -1 (/ x (pow eps 2)))) eps)) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ x (* -1 (/ x (pow eps 2)))) eps)) (pow x 2)))>
#<alt (/ 1 eps)>
#<alt (/ (+ 1 (* -1 (pow eps 2))) eps)>
#<alt (/ (+ 1 (* -1 (pow eps 2))) eps)>
#<alt (/ (+ 1 (* -1 (pow eps 2))) eps)>
#<alt (* -1 eps)>
#<alt (* eps (- (/ 1 (pow eps 2)) 1))>
#<alt (* eps (- (/ 1 (pow eps 2)) 1))>
#<alt (* eps (- (/ 1 (pow eps 2)) 1))>
#<alt (* -1 eps)>
#<alt (* -1 (* eps (- 1 (/ 1 (pow eps 2)))))>
#<alt (* -1 (* eps (- 1 (/ 1 (pow eps 2)))))>
#<alt (* -1 (* eps (- 1 (/ 1 (pow eps 2)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (- (/ 1 eps) eps))))>
#<alt (+ 1 (* x (+ (* 1/2 (* (pow eps 2) x)) (* 1/2 (- (/ 1 eps) eps)))))>
#<alt (+ 1 (* x (+ (* 1/2 (* (pow eps 2) x)) (* 1/2 (- (/ 1 eps) eps)))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (- (/ 1 eps) eps) x)) (* 1/2 (pow eps 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (- (/ 1 eps) eps) x)) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (- (/ 1 eps) eps) x)) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (/ (- (/ 1 eps) eps) x)) (* 1/2 (pow eps 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/2 (- (/ 1 eps) eps)) (/ 1 x)) x)) (* 1/2 (pow eps 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/2 (- (/ 1 eps) eps)) (/ 1 x)) x)) (* 1/2 (pow eps 2))))>
#<alt (* 1/2 (/ x eps))>
#<alt (/ (+ eps (* 1/2 x)) eps)>
#<alt (/ (+ (* 1/2 x) (* eps (+ 1 (* -1/2 (* eps x))))) eps)>
#<alt (/ (+ (* 1/2 x) (* eps (+ 1 (* eps (+ (* -1/2 x) (* 1/2 (* eps (pow x 2)))))))) eps)>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x eps)) (* 1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x eps)) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x eps)) (+ (* 1/2 (/ x (pow eps 3))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x eps)) (* 1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (* 1/2 x) (/ 1 eps)) eps)) (* 1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* 1/2 (/ x eps))) eps)) (* 1/2 x)) eps)) (* 1/2 (pow x 2))))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 4) (pow x 2))>
#<alt (* (pow eps 4) (pow x 2))>
#<alt (* (pow eps 4) (pow x 2))>
#<alt (* (pow eps 4) (pow x 2))>
#<alt (* (pow eps 4) (pow x 2))>
#<alt (* (pow eps 4) (pow x 2))>
#<alt (* (pow eps 4) (pow x 2))>
#<alt (* (pow eps 4) (pow x 2))>
#<alt (* (pow eps 4) (pow x 2))>
#<alt (* (pow eps 4) (pow x 2))>
#<alt (* (pow eps 4) (pow x 2))>
#<alt (* (pow eps 4) (pow x 2))>
#<alt (* (pow eps 4) (pow x 2))>
#<alt (* (pow eps 4) (pow x 2))>
#<alt (* (pow eps 4) (pow x 2))>
#<alt (* (pow eps 4) (pow x 2))>
#<alt (* (pow eps 4) (pow x 2))>
#<alt (* (pow eps 4) (pow x 2))>
#<alt (* (pow eps 4) (pow x 2))>
#<alt (* (pow eps 4) (pow x 2))>
#<alt (* (pow eps 4) (pow x 2))>
#<alt (* (pow eps 4) (pow x 2))>
#<alt (* (pow eps 4) (pow x 2))>
#<alt (* (pow eps 4) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (pow eps 6)>
#<alt (pow eps 6)>
#<alt (pow eps 6)>
#<alt (pow eps 6)>
#<alt (pow eps 6)>
#<alt (pow eps 6)>
#<alt (pow eps 6)>
#<alt (pow eps 6)>
#<alt (pow eps 6)>
#<alt (pow eps 6)>
#<alt (pow eps 6)>
#<alt (pow eps 6)>
#<alt (* x (- (/ 1 eps) eps))>
#<alt (* x (- (/ 1 eps) eps))>
#<alt (* x (- (/ 1 eps) eps))>
#<alt (* x (- (/ 1 eps) eps))>
#<alt (* x (- (/ 1 eps) eps))>
#<alt (* x (- (/ 1 eps) eps))>
#<alt (* x (- (/ 1 eps) eps))>
#<alt (* x (- (/ 1 eps) eps))>
#<alt (* x (- (/ 1 eps) eps))>
#<alt (* x (- (/ 1 eps) eps))>
#<alt (* x (- (/ 1 eps) eps))>
#<alt (* x (- (/ 1 eps) eps))>
#<alt (/ x eps)>
#<alt (/ (+ x (* -1 (* (pow eps 2) x))) eps)>
#<alt (/ (+ x (* -1 (* (pow eps 2) x))) eps)>
#<alt (/ (+ x (* -1 (* (pow eps 2) x))) eps)>
#<alt (* -1 (* eps x))>
#<alt (* eps (+ (* -1 x) (/ x (pow eps 2))))>
#<alt (* eps (+ (* -1 x) (/ x (pow eps 2))))>
#<alt (* eps (+ (* -1 x) (/ x (pow eps 2))))>
#<alt (* -1 (* eps x))>
#<alt (* -1 (* eps (+ x (* -1 (/ x (pow eps 2))))))>
#<alt (* -1 (* eps (+ x (* -1 (/ x (pow eps 2))))))>
#<alt (* -1 (* eps (+ x (* -1 (/ x (pow eps 2))))))>
#<alt (* (pow eps 6) (pow x 3))>
#<alt (* (pow eps 6) (pow x 3))>
#<alt (* (pow eps 6) (pow x 3))>
#<alt (* (pow eps 6) (pow x 3))>
#<alt (* (pow eps 6) (pow x 3))>
#<alt (* (pow eps 6) (pow x 3))>
#<alt (* (pow eps 6) (pow x 3))>
#<alt (* (pow eps 6) (pow x 3))>
#<alt (* (pow eps 6) (pow x 3))>
#<alt (* (pow eps 6) (pow x 3))>
#<alt (* (pow eps 6) (pow x 3))>
#<alt (* (pow eps 6) (pow x 3))>
#<alt (* (pow eps 6) (pow x 3))>
#<alt (* (pow eps 6) (pow x 3))>
#<alt (* (pow eps 6) (pow x 3))>
#<alt (* (pow eps 6) (pow x 3))>
#<alt (* (pow eps 6) (pow x 3))>
#<alt (* (pow eps 6) (pow x 3))>
#<alt (* (pow eps 6) (pow x 3))>
#<alt (* (pow eps 6) (pow x 3))>
#<alt (* (pow eps 6) (pow x 3))>
#<alt (* (pow eps 6) (pow x 3))>
#<alt (* (pow eps 6) (pow x 3))>
#<alt (* (pow eps 6) (pow x 3))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
Calls

108 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(* (* 1/2 x) (* eps eps))
1.0ms
eps
@inf
(/ (* (+ (* (* (* eps (* eps eps)) (* eps (* eps eps))) (* x (* x x))) 0) x) (+ (* (* eps eps) (+ (* (* eps eps) (* x x)) 0)) 0))
1.0ms
x
@0
(+ (* (* (* eps (* eps eps)) (* eps (* eps eps))) (* x (* x x))) 0)
1.0ms
eps
@0
(+ (* (* (* eps (* eps eps)) (* eps (* eps eps))) (* x (* x x))) 0)
1.0ms
x
@0
(+ (* (* eps eps) (+ (* (* eps eps) (* x x)) 0)) 0)

rewrite758.0ms (4.4%)

Memory
-23.1MiB live, 935.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 150×*-lowering-*.f32
6 150×*-lowering-*.f64
5 046×accelerator-lowering-fma.f32
5 046×accelerator-lowering-fma.f64
2 972×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044200
1323182
23081178
09058172
Stop Event
iter limit
node limit
Counts
22 → 927
Calls
Call 1
Inputs
(* (* 1/2 x) (* eps eps))
(+ (* (* (* 1/2 x) (* eps eps)) x) 1)
(* eps eps)
(* 1/2 x)
(* 1/2 (* 1 (+ (+ x 2) x)))
(* 1 (+ (+ x 2) x))
(+ (+ x 2) x)
(+ x 2)
(+ (* 1/2 (* (* x eps) (* x eps))) 1)
(* x eps)
(* (* x eps) (* x eps))
(+ (* (* x (* x eps)) eps) (* x (+ (- -1 eps) (+ 1 (/ 1 eps)))))
(+ (- -1 eps) (+ 1 (/ 1 eps)))
(+ (* 1/2 (+ (* (* x (* x eps)) eps) (* x (+ (- -1 eps) (+ 1 (/ 1 eps)))))) 1)
(* x (* x eps))
(/ (* (+ (* (* (* eps (* eps eps)) (* eps (* eps eps))) (* x (* x x))) 0) x) (+ (* (* eps eps) (+ (* (* eps eps) (* x x)) 0)) 0))
(+ (* (* eps eps) (+ (* (* eps eps) (* x x)) 0)) 0)
(+ (* 1/2 (/ (* (+ (* (* (* eps (* eps eps)) (* eps (* eps eps))) (* x (* x x))) 0) x) (+ (* (* eps eps) (+ (* (* eps eps) (* x x)) 0)) 0))) 1)
(* (* eps (* eps eps)) (* eps (* eps eps)))
(* x (+ (- -1 eps) (+ 1 (/ 1 eps))))
(+ (* (* (* eps (* eps eps)) (* eps (* eps eps))) (* x (* x x))) 0)
(+ (* (* eps eps) (* x x)) 0)
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps eps))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) eps)
(*.f64 (*.f64 x (*.f64 eps eps)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) x)
(+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)))
(+.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
(fma.f64 x (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 x (*.f64 eps eps)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 eps (*.f64 (*.f64 x (*.f64 x eps)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x (*.f64 x eps)) (*.f64 eps #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) (*.f64 x eps) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) (*.f64 (*.f64 x eps) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x (*.f64 eps eps)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x (*.f64 x eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x eps))) eps #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 eps eps) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) x) eps #s(literal 1 binary64))
(fma.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) x)) (*.f64 eps eps) #s(literal 1 binary64))
(fma.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))) eps #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) (fma.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))))
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)))))
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/4 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)))))
(/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64))))
(pow.f64 (/.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64)) (fma.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64))))))
(*.f64 (fma.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) eps) #s(literal 2 binary64))
(*.f64 eps eps)
(*.f64 (*.f64 eps eps) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) eps) (-.f64 #s(literal 0 binary64) eps))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) x))
(+.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 x #s(literal 2 binary64))))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x (*.f64 x x) (*.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))))) (fma.f64 x (-.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x (+.f64 x #s(literal 2 binary64))) (+.f64 x (-.f64 #s(literal 2 binary64) x)))) (+.f64 x (-.f64 #s(literal 2 binary64) x)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (fma.f64 x (-.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 (+.f64 x (+.f64 x #s(literal 2 binary64))) (+.f64 x (-.f64 #s(literal 2 binary64) x))) #s(literal 1/2 binary64)) (+.f64 x (-.f64 #s(literal 2 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (+.f64 x (+.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 x (+.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 x (+.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(+.f64 x (+.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 2 binary64) (+.f64 x x))
(+.f64 (+.f64 x #s(literal 2 binary64)) x)
(+.f64 (+.f64 x x) #s(literal 2 binary64))
(-.f64 (/.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))) (+.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (*.f64 x x) (+.f64 x (-.f64 #s(literal 2 binary64) x))))
(fma.f64 x #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) x (+.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64)) x)
(fma.f64 (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) x)
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 4 binary64)) (*.f64 x #s(literal 2 binary64)))) x)
(fma.f64 (fma.f64 x x #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))) (fma.f64 x (*.f64 x x) (*.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (-.f64 #s(literal 2 binary64) x)) (*.f64 (+.f64 x (+.f64 x #s(literal 2 binary64))) (+.f64 x (-.f64 #s(literal 2 binary64) x)))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))))) (fma.f64 x (-.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))))) (fma.f64 x x (-.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))) (*.f64 x (+.f64 x #s(literal 2 binary64))))))
(/.f64 (*.f64 (+.f64 x (+.f64 x #s(literal 2 binary64))) (+.f64 x (-.f64 #s(literal 2 binary64) x))) (+.f64 x (-.f64 #s(literal 2 binary64) x)))
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simplify521.0ms (3%)

Memory
12.8MiB live, 805.4MiB allocated
Algorithm
egg-herbie
Rules
16 106×accelerator-lowering-fma.f32
16 106×accelerator-lowering-fma.f64
3 942×*-lowering-*.f32
3 942×*-lowering-*.f64
2 142×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01503037
14513014
211923002
336622968
467422966
081722820
Stop Event
iter limit
node limit
Counts
432 → 432
Calls
Call 1
Inputs
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(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 4) (pow x 2))
(* (pow eps 4) (pow x 2))
(* (pow eps 4) (pow x 2))
(* (pow eps 4) (pow x 2))
(* (pow eps 4) (pow x 2))
(* (pow eps 4) (pow x 2))
(* (pow eps 4) (pow x 2))
(* (pow eps 4) (pow x 2))
(* (pow eps 4) (pow x 2))
(* (pow eps 4) (pow x 2))
(* (pow eps 4) (pow x 2))
(* (pow eps 4) (pow x 2))
(* (pow eps 4) (pow x 2))
(* (pow eps 4) (pow x 2))
(* (pow eps 4) (pow x 2))
(* (pow eps 4) (pow x 2))
(* (pow eps 4) (pow x 2))
(* (pow eps 4) (pow x 2))
(* (pow eps 4) (pow x 2))
(* (pow eps 4) (pow x 2))
(* (pow eps 4) (pow x 2))
(* (pow eps 4) (pow x 2))
(* (pow eps 4) (pow x 2))
(* (pow eps 4) (pow x 2))
1
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
1
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(pow eps 6)
(pow eps 6)
(pow eps 6)
(pow eps 6)
(pow eps 6)
(pow eps 6)
(pow eps 6)
(pow eps 6)
(pow eps 6)
(pow eps 6)
(pow eps 6)
(pow eps 6)
(* x (- (/ 1 eps) eps))
(* x (- (/ 1 eps) eps))
(* x (- (/ 1 eps) eps))
(* x (- (/ 1 eps) eps))
(* x (- (/ 1 eps) eps))
(* x (- (/ 1 eps) eps))
(* x (- (/ 1 eps) eps))
(* x (- (/ 1 eps) eps))
(* x (- (/ 1 eps) eps))
(* x (- (/ 1 eps) eps))
(* x (- (/ 1 eps) eps))
(* x (- (/ 1 eps) eps))
(/ x eps)
(/ (+ x (* -1 (* (pow eps 2) x))) eps)
(/ (+ x (* -1 (* (pow eps 2) x))) eps)
(/ (+ x (* -1 (* (pow eps 2) x))) eps)
(* -1 (* eps x))
(* eps (+ (* -1 x) (/ x (pow eps 2))))
(* eps (+ (* -1 x) (/ x (pow eps 2))))
(* eps (+ (* -1 x) (/ x (pow eps 2))))
(* -1 (* eps x))
(* -1 (* eps (+ x (* -1 (/ x (pow eps 2))))))
(* -1 (* eps (+ x (* -1 (/ x (pow eps 2))))))
(* -1 (* eps (+ x (* -1 (/ x (pow eps 2))))))
(* (pow eps 6) (pow x 3))
(* (pow eps 6) (pow x 3))
(* (pow eps 6) (pow x 3))
(* (pow eps 6) (pow x 3))
(* (pow eps 6) (pow x 3))
(* (pow eps 6) (pow x 3))
(* (pow eps 6) (pow x 3))
(* (pow eps 6) (pow x 3))
(* (pow eps 6) (pow x 3))
(* (pow eps 6) (pow x 3))
(* (pow eps 6) (pow x 3))
(* (pow eps 6) (pow x 3))
(* (pow eps 6) (pow x 3))
(* (pow eps 6) (pow x 3))
(* (pow eps 6) (pow x 3))
(* (pow eps 6) (pow x 3))
(* (pow eps 6) (pow x 3))
(* (pow eps 6) (pow x 3))
(* (pow eps 6) (pow x 3))
(* (pow eps 6) (pow x 3))
(* (pow eps 6) (pow x 3))
(* (pow eps 6) (pow x 3))
(* (pow eps 6) (pow x 3))
(* (pow eps 6) (pow x 3))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
Outputs
(* 1/2 (* (pow eps 2) x))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64))))
(* 1/2 (* (pow eps 2) x))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64))))
(* 1/2 (* (pow eps 2) x))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64))))
(* 1/2 (* (pow eps 2) x))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64))))
(* 1/2 (* (pow eps 2) x))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64))))
(* 1/2 (* (pow eps 2) x))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64))))
(* 1/2 (* (pow eps 2) x))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64))))
(* 1/2 (* (pow eps 2) x))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64))))
(* 1/2 (* (pow eps 2) x))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64))))
(* 1/2 (* (pow eps 2) x))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64))))
(* 1/2 (* (pow eps 2) x))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64))))
(* 1/2 (* (pow eps 2) x))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64))))
(* 1/2 (* (pow eps 2) x))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64))))
(* 1/2 (* (pow eps 2) x))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64))))
(* 1/2 (* (pow eps 2) x))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64))))
(* 1/2 (* (pow eps 2) x))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64))))
(* 1/2 (* (pow eps 2) x))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64))))
(* 1/2 (* (pow eps 2) x))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64))))
(* 1/2 (* (pow eps 2) x))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64))))
(* 1/2 (* (pow eps 2) x))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64))))
(* 1/2 (* (pow eps 2) x))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64))))
(* 1/2 (* (pow eps 2) x))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64))))
(* 1/2 (* (pow eps 2) x))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64))))
(* 1/2 (* (pow eps 2) x))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps x #s(literal 0 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(* 1/2 (* (pow eps 2) (pow x 2)))
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(* 1/2 (* (pow eps 2) (pow x 2)))
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(* 1/2 (* (pow eps 2) (pow x 2)))
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(* 1/2 (* (pow eps 2) (pow x 2)))
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(pow eps 2)
(fma.f64 eps eps #s(literal 0 binary64))
(pow eps 2)
(fma.f64 eps eps #s(literal 0 binary64))
(pow eps 2)
(fma.f64 eps eps #s(literal 0 binary64))
(pow eps 2)
(fma.f64 eps eps #s(literal 0 binary64))
(pow eps 2)
(fma.f64 eps eps #s(literal 0 binary64))
(pow eps 2)
(fma.f64 eps eps #s(literal 0 binary64))
(pow eps 2)
(fma.f64 eps eps #s(literal 0 binary64))
(pow eps 2)
(fma.f64 eps eps #s(literal 0 binary64))
(pow eps 2)
(fma.f64 eps eps #s(literal 0 binary64))
(pow eps 2)
(fma.f64 eps eps #s(literal 0 binary64))
(pow eps 2)
(fma.f64 eps eps #s(literal 0 binary64))
(pow eps 2)
(fma.f64 eps eps #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(+ 2 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(+ 2 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(+ 2 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(+ 2 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(* 1/2 (* (pow eps 2) (pow x 2)))
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(* 1/2 (* (pow eps 2) (pow x 2)))
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(fma.f64 eps (*.f64 #s(literal 1/2 binary64) (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
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(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
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(*.f64 (pow.f64 eps #s(literal 6 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))
(* (pow eps 2) (pow x 2))
(fma.f64 eps (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow eps 2) (pow x 2))
(fma.f64 eps (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow eps 2) (pow x 2))
(fma.f64 eps (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow eps 2) (pow x 2))
(fma.f64 eps (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow eps 2) (pow x 2))
(fma.f64 eps (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow eps 2) (pow x 2))
(fma.f64 eps (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow eps 2) (pow x 2))
(fma.f64 eps (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow eps 2) (pow x 2))
(fma.f64 eps (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow eps 2) (pow x 2))
(fma.f64 eps (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow eps 2) (pow x 2))
(fma.f64 eps (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow eps 2) (pow x 2))
(fma.f64 eps (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow eps 2) (pow x 2))
(fma.f64 eps (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow eps 2) (pow x 2))
(fma.f64 eps (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow eps 2) (pow x 2))
(fma.f64 eps (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow eps 2) (pow x 2))
(fma.f64 eps (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow eps 2) (pow x 2))
(fma.f64 eps (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow eps 2) (pow x 2))
(fma.f64 eps (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow eps 2) (pow x 2))
(fma.f64 eps (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow eps 2) (pow x 2))
(fma.f64 eps (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow eps 2) (pow x 2))
(fma.f64 eps (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow eps 2) (pow x 2))
(fma.f64 eps (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow eps 2) (pow x 2))
(fma.f64 eps (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow eps 2) (pow x 2))
(fma.f64 eps (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* (pow eps 2) (pow x 2))
(fma.f64 eps (fma.f64 eps (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))

eval481.0ms (2.8%)

Memory
9.5MiB live, 384.0MiB allocated
Compiler

Compiled 55 310 to 3 731 computations (93.3% saved)

prune1.8s (10.4%)

Memory
25.7MiB live, 316.2MiB allocated
Pruning

35 alts after pruning (30 fresh and 5 done)

PrunedKeptTotal
New1 48471 491
Fresh12324
Picked325
Done033
Total1 488351 523
Accuracy
100.0%
Counts
1 523 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.5%
(fma.f64 (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
72.3%
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) eps) x #s(literal 1 binary64))
74.2%
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps eps)) x #s(literal 1 binary64))
40.4%
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
50.0%
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
40.5%
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
40.3%
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
38.0%
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (fma.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))) (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64))
68.7%
(fma.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64))) #s(literal 1 binary64))
62.1%
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x (*.f64 x eps)) eps (*.f64 x (-.f64 #s(literal 0 binary64) eps))) #s(literal 1 binary64))
65.3%
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 eps x #s(literal 0 binary64)) (*.f64 eps (fma.f64 eps x #s(literal -1 binary64))) x) eps) #s(literal 1 binary64))
64.9%
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) x) eps) #s(literal 1 binary64))
5.6%
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) x) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x eps))) eps)) #s(literal 1 binary64))
27.8%
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64))
74.2%
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)))) #s(literal 1 binary64))
69.0%
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1 binary64))
73.5%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 eps eps (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64))
4.5%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64))
64.2%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x eps #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) #s(literal 1 binary64))
10.3%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (/.f64 (*.f64 (*.f64 x eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64))) (*.f64 x x)) (/.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #s(literal 1 binary64))
37.4%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (/.f64 (*.f64 x eps) x) (/.f64 (*.f64 eps (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) (*.f64 eps eps)))) #s(literal 1 binary64))
40.5%
(+.f64 x #s(literal 1 binary64))
16.1%
(*.f64 (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x))
19.2%
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 eps #s(literal -1 binary64)) eps)))
31.0%
(*.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64))))
32.9%
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
37.5%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
62.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
84.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
63.1%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
61.9%
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
49.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
69.7%
(exp.f64 (-.f64 #s(literal 0 binary64) x))
2.8%
x
41.3%
#s(literal 1 binary64)
Compiler

Compiled 1 741 to 646 computations (62.9% saved)

regimes104.0ms (0.6%)

Memory
-5.4MiB live, 103.6MiB allocated
Counts
55 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps eps)) x #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) eps) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64))
(fma.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x (*.f64 x eps)) eps (*.f64 x (-.f64 #s(literal 0 binary64) eps))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x eps #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) x) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 eps x #s(literal 0 binary64)) (*.f64 eps (fma.f64 eps x #s(literal -1 binary64))) x) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) x) #s(literal 0 binary64)) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 eps eps (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x (*.f64 x eps)) eps (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (/.f64 (*.f64 x eps) x) (/.f64 (*.f64 eps (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) (*.f64 eps eps)))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 eps #s(literal -1 binary64)) eps)))
(fma.f64 (fma.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (fma.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))) (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) x) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x eps))) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) x) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (/.f64 (*.f64 (*.f64 x eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64))) (*.f64 x x)) (/.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1 binary64))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)))) #s(literal -1 binary64)) eps) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Calls

4 calls:

31.0ms
x
30.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
15.0ms
eps
12.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
99.2%1x
99.2%1eps
99.2%1(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
99.2%1(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes126.0ms (0.7%)

Memory
-16.8MiB live, 106.4MiB allocated
Counts
53 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps eps)) x #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) eps) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64))
(fma.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x (*.f64 x eps)) eps (*.f64 x (-.f64 #s(literal 0 binary64) eps))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x eps #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) x) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 eps x #s(literal 0 binary64)) (*.f64 eps (fma.f64 eps x #s(literal -1 binary64))) x) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) x) #s(literal 0 binary64)) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 eps eps (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x (*.f64 x eps)) eps (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (/.f64 (*.f64 x eps) x) (/.f64 (*.f64 eps (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) (*.f64 eps eps)))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 eps #s(literal -1 binary64)) eps)))
(fma.f64 (fma.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (fma.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))) (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) x) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x eps))) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) x) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (/.f64 (*.f64 (*.f64 x eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64))) (*.f64 x x)) (/.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1 binary64))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)))) #s(literal -1 binary64)) eps) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Calls

4 calls:

55.0ms
eps
39.0ms
x
18.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
11.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
88.6%3x
100.0%2eps
100.0%2(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
100.0%2(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes96.0ms (0.6%)

Memory
2.7MiB live, 80.9MiB allocated
Counts
52 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps eps)) x #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) eps) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64))
(fma.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x (*.f64 x eps)) eps (*.f64 x (-.f64 #s(literal 0 binary64) eps))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x eps #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) x) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 eps x #s(literal 0 binary64)) (*.f64 eps (fma.f64 eps x #s(literal -1 binary64))) x) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) x) #s(literal 0 binary64)) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 eps eps (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x (*.f64 x eps)) eps (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (/.f64 (*.f64 x eps) x) (/.f64 (*.f64 eps (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) (*.f64 eps eps)))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 eps #s(literal -1 binary64)) eps)))
(fma.f64 (fma.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (fma.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))) (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) x) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x eps))) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) x) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (/.f64 (*.f64 (*.f64 x eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64))) (*.f64 x x)) (/.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1 binary64))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 #s(literal 1/2 binary64) eps #s(literal 1/2 binary64)))) #s(literal -1 binary64)) eps) #s(literal 1 binary64))))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) x) eps) #s(literal 1 binary64))
Calls

3 calls:

44.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
38.0ms
eps
11.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
91.1%2eps
94.2%2(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
94.2%2(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Compiler

Compiled 63 to 38 computations (39.7% saved)

regimes22.0ms (0.1%)

Memory
26.1MiB live, 26.1MiB allocated
Counts
46 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps eps)) x #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) eps) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64))
(fma.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x (*.f64 x eps)) eps (*.f64 x (-.f64 #s(literal 0 binary64) eps))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x eps #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) x) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 eps x #s(literal 0 binary64)) (*.f64 eps (fma.f64 eps x #s(literal -1 binary64))) x) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) x) #s(literal 0 binary64)) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 eps eps (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x (*.f64 x eps)) eps (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (/.f64 (*.f64 x eps) x) (/.f64 (*.f64 eps (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) (*.f64 eps eps)))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 eps #s(literal -1 binary64)) eps)))
(fma.f64 (fma.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (fma.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))) (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) x) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x eps))) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) x) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (/.f64 (*.f64 (*.f64 x eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64))) (*.f64 x x)) (/.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1 binary64))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64)))
Outputs
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) x) eps) #s(literal 1 binary64))
Calls

2 calls:

10.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
10.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
93.5%2(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
93.5%2(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Compiler

Compiled 60 to 36 computations (40% saved)

regimes62.0ms (0.4%)

Memory
-49.3MiB live, 47.9MiB allocated
Counts
41 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps eps)) x #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) eps) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64))
(fma.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x (*.f64 x eps)) eps (*.f64 x (-.f64 #s(literal 0 binary64) eps))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x eps #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) x) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (fma.f64 eps x #s(literal 0 binary64)) (*.f64 eps (fma.f64 eps x #s(literal -1 binary64))) x) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 eps (-.f64 (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)) x) #s(literal 0 binary64)) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 0 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 eps eps (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 eps (fma.f64 x eps #s(literal 1 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x (*.f64 x eps)) eps (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 (fma.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) x) (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (/.f64 (*.f64 x eps) x) (/.f64 (*.f64 eps (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) (*.f64 eps eps)))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))) (+.f64 eps #s(literal -1 binary64))) (/.f64 (+.f64 eps #s(literal -1 binary64)) eps)))
(fma.f64 (fma.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (fma.f64 x (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps eps)) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))) (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) x) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x eps))) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)) #s(literal 0 binary64)) x) (fma.f64 (*.f64 eps eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (/.f64 (*.f64 (*.f64 x eps) (fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 0 binary64))) (*.f64 x x)) (/.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1 binary64))
Outputs
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) x) eps) #s(literal 1 binary64))
Calls

4 calls:

22.0ms
x
17.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
11.0ms
eps
9.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
77.6%2x
74.8%1eps
79.0%2(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
79.0%2(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes11.0ms (0.1%)

Memory
14.8MiB live, 14.8MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps eps)) x #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) eps) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64))
(fma.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x (*.f64 x eps)) eps (*.f64 x (-.f64 #s(literal 0 binary64) eps))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x eps #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) #s(literal 1 binary64))
Outputs
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x eps #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) #s(literal 1 binary64))
Calls

2 calls:

5.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
5.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
78.3%2(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
78.3%2(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Compiler

Compiled 60 to 36 computations (40% saved)

regimes11.0ms (0.1%)

Memory
19.8MiB live, 19.8MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps eps)) x #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) eps) x #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 x (*.f64 eps eps) #s(literal 0 binary64))) #s(literal 1 binary64))
(fma.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 x (*.f64 x eps)) eps (*.f64 x (-.f64 #s(literal 0 binary64) eps))) #s(literal 1 binary64))
Outputs
#s(literal 1 binary64)
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps eps)) x #s(literal 1 binary64))
Calls

2 calls:

5.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
5.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
77.6%2(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
77.6%2(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Compiler

Compiled 60 to 36 computations (40% saved)

regimes46.0ms (0.3%)

Memory
-8.7MiB live, 30.2MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1 binary64))
Outputs
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)) #s(literal 1 binary64))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
Calls

4 calls:

33.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
4.0ms
eps
4.0ms
x
3.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
72.3%1eps
74.5%2x
72.3%1(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
72.3%1(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes20.0ms (0.1%)

Memory
-12.0MiB live, 26.8MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64))))
Outputs
#s(literal 1 binary64)
(*.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64))))
Calls

4 calls:

10.0ms
eps
4.0ms
x
3.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
3.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
68.9%2(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
68.9%2(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
60.7%2eps
67.3%3x
Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes6.0ms (0%)

Memory
11.5MiB live, 11.5MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
Outputs
#s(literal 1 binary64)
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
Calls

2 calls:

3.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
3.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
68.8%2(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
68.8%2(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Compiler

Compiled 60 to 36 computations (40% saved)

regimes45.0ms (0.3%)

Memory
-13.8MiB live, 24.1MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 eps #s(literal 0 binary64) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
Outputs
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
Calls

4 calls:

36.0ms
x
3.0ms
eps
3.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
3.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
50.0%1eps
50.0%1x
50.0%1(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
50.0%1(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes9.0ms (0.1%)

Memory
21.9MiB live, 21.9MiB allocated
Accuracy

Total -25.2b remaining (-67.1%)

Threshold costs -25.2b (-67.1%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
Outputs
#s(literal 1 binary64)
Calls

4 calls:

2.0ms
x
2.0ms
eps
2.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
2.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
41.3%1x
41.3%1(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
41.3%1(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
41.3%1eps
Compiler

Compiled 66 to 40 computations (39.4% saved)

bsearch1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
2.0
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.000002397339292
+inf
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.000002397339292
+inf
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.000002397339292
+inf
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.000002397339292
+inf
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.0
2.000002397339292
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch89.0ms (0.5%)

Memory
-34.8MiB live, 45.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
22.0ms
1.8092966586103936e-8
2.421078534756317e-7
Samples
12.0ms42×1valid
6.0ms54×0valid
Compiler

Compiled 184 to 126 computations (31.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-exp: 4.0ms (26.9% of total)
ival-mult: 3.0ms (20.2% of total)
ival-sub: 2.0ms (13.4% of total)
ival-div: 2.0ms (13.4% of total)
ival-add: 1.0ms (6.7% of total)
adjust: 1.0ms (6.7% of total)
ival-neg: 1.0ms (6.7% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.000002397339292
+inf
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.000002397339292
+inf
Compiler

Compiled 34 to 24 computations (29.4% saved)

simplify54.0ms (0.3%)

Memory
4.5MiB live, 44.1MiB allocated
Algorithm
egg-herbie
Rules
344×distribute-lft-neg-in_binary64
170×neg-mul-1_binary64
158×neg-sub0_binary64
128×distribute-rgt-neg-in_binary64
122×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
082442
1137442
2177426
3230426
4288426
5415426
6556426
7697426
8812426
9894426
10937426
11957426
12967426
13970426
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) x) eps) #s(literal 1 binary64)))
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 4 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) x) eps) #s(literal 1 binary64)))
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) x) eps) #s(literal 1 binary64)))
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x eps #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) #s(literal 1 binary64)))
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps eps)) x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 4533471823554859/18889465931478580854784 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)) #s(literal 1 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 4 binary64)) #s(literal 1 binary64) (*.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64)))))
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 4 binary64)) #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(if (<=.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 x (+.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))))
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) x) eps) #s(literal 1 binary64)))
(if (<=.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 4 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 x (+.f64 x #s(literal 2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) x) eps) #s(literal 1 binary64)))
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 4 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) x) eps) #s(literal 1 binary64)))
(if (<=.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 4 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) x) eps) #s(literal 1 binary64)))
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) x) eps) #s(literal 1 binary64)))
(if (<=.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps (*.f64 x eps))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (*.f64 eps eps) (*.f64 x (fma.f64 x eps #s(literal -1 binary64))) x) eps) #s(literal 1 binary64)))
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x eps #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) #s(literal 1 binary64)))
(if (<=.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 4 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps (*.f64 x eps))) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (fma.f64 (*.f64 eps eps) (fma.f64 x eps #s(literal -1 binary64)) #s(literal 1 binary64)) eps)) #s(literal 1 binary64)))
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64)) #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps eps)) x #s(literal 1 binary64)))
(if (<=.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) x)) x #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 4533471823554859/18889465931478580854784 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (*.f64 x eps) eps)) #s(literal 1 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(if (<=.f64 x #s(literal 4533471823554859/18889465931478580854784 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps (*.f64 x eps))) #s(literal 1 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 4 binary64)) #s(literal 1 binary64) (*.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64)))))
(if (<=.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 4 binary64)) #s(literal 1 binary64) (*.f64 eps (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x #s(literal -1/2 binary64)))))
(if (<=.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 4 binary64)) #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(if (<=.f64 (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 4 binary64)) #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness1.1s (6.1%)

Memory
-9.2MiB live, 841.2MiB allocated
Rules
17 148×accelerator-lowering-fma.f32
17 148×accelerator-lowering-fma.f64
16 366×accelerator-lowering-fma.f32
16 366×accelerator-lowering-fma.f64
11 442×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02993116
19752807
234052490
083612351
05894797
119764390
266274295
085804085
044215
1307195
23217191
09384182
03273712
111173570
234523472
081263280
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 819 to 339 computations (58.6% saved)

preprocess96.0ms (0.6%)

Memory
7.6MiB live, 161.0MiB allocated
Remove

(abs eps)

Compiler

Compiled 1 034 to 252 computations (75.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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