NMSE Section 6.1 mentioned, A

Time bar (total: 12.9s)

analyze44.0ms (0.3%)

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%0%1.2%9
93.7%92.5%6.2%0.1%0%0%1.2%10
96.8%94.9%3.1%0.1%0%0%1.9%11
96.8%94.9%3.1%0.1%0%0%1.9%12
Compiler

Compiled 32 to 20 computations (37.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 6.0ms (26.6% of total)
ival-sub: 4.0ms (17.7% of total)
ival-exp: 4.0ms (17.7% of total)
ival-div: 3.0ms (13.3% of total)
ival-add: 3.0ms (13.3% of total)
ival-neg: 2.0ms (8.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample2.9s (22.3%)

Results
919.0ms5978×0valid
731.0ms1404×1valid
598.0ms874×2valid
124.0ms926×0unsamplable
Precisions
Click to see histograms. Total time spent on operations: 1.8s
ival-exp: 516.0ms (28.2% of total)
ival-mult: 348.0ms (19% of total)
ival-div: 260.0ms (14.2% of total)
ival-sub: 258.0ms (14.1% of total)
ival-add: 196.0ms (10.7% of total)
ival-neg: 127.0ms (6.9% of total)
backward-pass: 103.0ms (5.6% of total)
const: 22.0ms (1.2% of total)
Bogosity

preprocess259.0ms (2%)

Algorithm
egg-herbie
Rules
2446×*-lowering-*.f32
2446×*-lowering-*.f64
1842×sum3-define
1570×sum5-define
1194×/-lowering-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
063163
1208149
2642138
32278136
47625136
01926
15826
216323
354323
4147922
5545022
0824822
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)
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 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)
(/ (fnmsub (pow (exp x) (+ eps -1)) (- -1 (recip eps)) (/ (+ (recip eps) -1) (exp (fma eps x x)))) 2)
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) (neg x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) (neg x)))))) 2)
(/ (fmsub (+ 1 (recip eps)) (exp (fnmadd eps x x)) (* (+ (recip eps) -1) (exp (fma eps x x)))) 2)
(/ (- (* (+ 1 (/ 1 (neg eps))) (exp (neg (* (- 1 (neg eps)) x)))) (* (- (/ 1 (neg eps)) 1) (exp (neg (* (+ 1 (neg eps)) x))))) 2)
(/ (fnmsub (pow (exp x) (+ eps -1)) (- -1 (recip eps)) (/ (+ (recip eps) -1) (exp (fma eps x x)))) 2)
(neg (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) (neg x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) (neg x)))))) 2))
(/ (fnmsub (exp (fma eps x x)) (- 1 (recip eps)) (* (+ 1 (recip eps)) (exp (fnmadd eps x x)))) 2)
(neg (/ (- (* (+ 1 (/ 1 (neg eps))) (exp (neg (* (- 1 (neg eps)) x)))) (* (- (/ 1 (neg eps)) 1) (exp (neg (* (+ 1 (neg eps)) x))))) 2))
(* (fnmsub (pow (exp x) (+ eps -1)) (- -1 (recip eps)) (/ (+ (recip eps) -1) (exp (fma eps x x)))) -1/2)
(/ (- (* (+ 1 (/ 1 x)) (exp (neg (* (- 1 x) eps)))) (* (- (/ 1 x) 1) (exp (neg (* (+ 1 x) eps))))) 2)
(/ (+ (/ (+ 1 (recip x)) (exp (fnmadd eps x eps))) (/ (- 1 (recip x)) (exp (fma eps x eps)))) 2)
Symmetry

(abs eps)

explain350.0ms (2.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
675(2.9504916552641226e-117 0.0005929641600629264)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-x
00-0-(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
00-0-(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
00-0-#s(literal 2 binary64)
00-0-(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))
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-(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
00-0-eps
00-0-(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
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-(-.f64 #s(literal 1 binary64) eps)
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-#s(literal 1 binary64)
00-0-(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
00-0-(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))
Results
127.0ms372×0valid
68.0ms54×2valid
66.0ms86×1valid
Compiler

Compiled 319 to 59 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 119.0ms
ival-add: 29.0ms (24.4% of total)
ival-mult: 24.0ms (20.2% of total)
ival-sub: 18.0ms (15.2% of total)
ival-exp: 17.0ms (14.3% of total)
ival-div: 12.0ms (10.1% of total)
backward-pass: 11.0ms (9.3% of total)
ival-neg: 7.0ms (5.9% of total)
const: 1.0ms (0.8% of total)

eval0.0ms (0%)

Compiler

Compiled 27 to 18 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
74.6%
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
Compiler

Compiled 27 to 18 computations (33.3% saved)

simplify179.0ms (1.4%)

Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
cost-diff0
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
cost-diff0
(*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))
cost-diff0
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
Rules
2418×*-lowering-*.f32
2418×*-lowering-*.f64
2054×sum3-define
1292×times-frac
1144×fma-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01897
15097
213497
336493
4111189
5565689
0806189
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps)))
(exp (* x (+ eps -1)))
(* x (+ eps -1))
x
(+ eps -1)
eps
-1
(- 1/2 (/ -1/2 eps))
1/2
(/ -1/2 eps)
-1/2
(* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))
(exp (* x (- -1 eps)))
(* x (- -1 eps))
(- -1 eps)
(+ (/ 1/2 eps) -1/2)
(/ 1/2 eps)
Outputs
(- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))
(* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps)))
(*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(exp (* x (+ eps -1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(* x (+ eps -1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
x
(+ eps -1)
(+.f64 eps #s(literal -1 binary64))
eps
-1
#s(literal -1 binary64)
(- 1/2 (/ -1/2 eps))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
1/2
#s(literal 1/2 binary64)
(/ -1/2 eps)
(/.f64 #s(literal -1/2 binary64) eps)
-1/2
#s(literal -1/2 binary64)
(* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(exp (* x (- -1 eps)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(* x (- -1 eps))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
(+ (/ 1/2 eps) -1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
(/ 1/2 eps)
(/.f64 #s(literal 1/2 binary64) eps)

localize236.0ms (1.8%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))
accuracy100.0%
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
accuracy100.0%
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
accuracy74.6%
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
Results
126.0ms42×1valid
62.0ms186×0valid
24.0ms28×2valid
Compiler

Compiled 101 to 19 computations (81.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-exp: 9.0ms (22.9% of total)
ival-mult: 9.0ms (22.9% of total)
ival-div: 6.0ms (15.3% of total)
ival-sub: 5.0ms (12.7% of total)
backward-pass: 5.0ms (12.7% of total)
ival-add: 4.0ms (10.2% of total)
const: 1.0ms (2.5% of total)

series20.0ms (0.2%)

Counts
5 → 120
Calls
Call 1
Inputs
#<alt (- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))>
#<alt (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps)))>
#<alt (exp (* x (+ eps -1)))>
#<alt (* x (+ eps -1))>
#<alt (* x (- -1 eps))>
Outputs
#<alt 1>
#<alt (+ 1 (* x (- (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))>
#<alt (+ 1 (* x (- (+ (* x (- (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))>
#<alt (+ 1 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))>
#<alt (- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (- (+ (* 1/2 (exp (* -1 x))) (* 1/2 (* x (exp (* -1 x))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x))))))>
#<alt (- (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (* 1/4 (* (pow x 2) (exp (* -1 x))))) (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x))))))>
#<alt (- (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/240 (* (pow x 5) (exp (* -1 x)))) (* 1/48 (* (pow x 4) (exp (* -1 x))))) (+ (* -1/48 (* (pow x 4) (exp (* -1 x)))) (* -1/240 (* (pow x 5) (exp (* -1 x))))))))) (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x))))))>
#<alt (- (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/240 (* (pow x 5) (exp (* -1 x)))) (+ (* 1/48 (* (pow x 4) (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/10080 (* (pow x 7) (exp (* -1 x)))) (* 1/1440 (* (pow x 6) (exp (* -1 x))))) (+ (* -1/1440 (* (pow x 6) (exp (* -1 x)))) (* -1/10080 (* (pow x 7) (exp (* -1 x))))))))) (+ (* -1/48 (* (pow x 4) (exp (* -1 x)))) (* -1/240 (* (pow x 5) (exp (* -1 x))))))))) (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x))))))>
#<alt (- (* 1/2 (exp (* x (- eps 1)))) (* -1/2 (exp (* -1 (* x (+ 1 eps))))))>
#<alt (- (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps))) (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps))))>
#<alt (- (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps))) (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps))))>
#<alt (- (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps))) (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps))))>
#<alt (- (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))>
#<alt (- (+ (* -1 (/ (- (* -1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) eps)) (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))>
#<alt (- (+ (* -1 (/ (- (* -1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) eps)) (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))>
#<alt (- (+ (* -1 (/ (- (* -1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) eps)) (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))>
#<alt (+ 1/2 (* 1/2 (/ 1 eps)))>
#<alt (+ 1/2 (+ (* 1/2 (/ 1 eps)) (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))))>
#<alt (+ 1/2 (+ (* 1/2 (/ 1 eps)) (* x (+ (* 1/2 (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))))))>
#<alt (+ 1/2 (+ (* 1/2 (/ 1 eps)) (* x (+ (* x (+ (* 1/6 (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))))))>
#<alt (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* 1/2 (/ (exp (* -1 x)) eps))>
#<alt (/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* 1/2 (exp (* -1 x))) (* 1/2 (* x (exp (* -1 x))))))) eps)>
#<alt (/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (* x (exp (* -1 x)))))))))) eps)>
#<alt (/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (* 1/4 (* (pow x 2) (exp (* -1 x))))))))))))) eps)>
#<alt (* 1/2 (exp (* x (- eps 1))))>
#<alt (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps)))>
#<alt (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps)))>
#<alt (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps)))>
#<alt (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))>
#<alt (+ (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps)))>
#<alt (+ (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps)))>
#<alt (+ (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps)))>
#<alt 1>
#<alt (+ 1 (* x (- eps 1)))>
#<alt (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))>
#<alt (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* -1 x))>
#<alt (+ (exp (* -1 x)) (* eps (* x (exp (* -1 x)))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))>
#<alt (+ (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))))))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* -1 (* x (+ 1 (* -1 eps)))))>
#<alt (exp (* -1 (* x (+ 1 (* -1 eps)))))>
#<alt (exp (* -1 (* x (+ 1 (* -1 eps)))))>
#<alt (exp (* -1 (* x (+ 1 (* -1 eps)))))>
#<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 (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* eps x))>
#<alt (+ (* -1 x) (* eps x))>
#<alt (+ (* -1 x) (* eps x))>
#<alt (* eps x)>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps x)>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (* -1 (* eps x))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* -1 (* eps x))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
Calls

30 calls:

TimeVariablePointExpression
7.0ms
eps
@0
(- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
1.0ms
x
@inf
(- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
1.0ms
x
@0
(- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
1.0ms
eps
@0
(* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps)))
1.0ms
eps
@inf
(- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))

rewrite372.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
3770×/-lowering-/.f32
3770×/-lowering-/.f64
3340×*-lowering-*.f32
3340×*-lowering-*.f64
2134×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01852
112852
2110852
0852352
Stop Event
iter limit
node limit
Counts
5 → 229
Calls
Call 1
Inputs
(- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps)))
(exp (* x (+ eps -1)))
(* x (+ eps -1))
(* x (- -1 eps))
Outputs
(+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))
(+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))
(+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (neg.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))))
(+.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))
(+.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (+.f64 (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))
(+.f64 (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))
(+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))) (neg.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))))))
(+.f64 (/.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (neg.f64 (/.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))))
(+.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 eps #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (-.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))
(-.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))) (/.f64 (*.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))))
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simplify258.0ms (2%)

Algorithm
egg-herbie
Rules
3376×*-lowering-*.f32
3376×*-lowering-*.f64
2644×+-lowering-+.f64
2644×+-lowering-+.f32
1984×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02561879
18431674
231531544
089831544
Stop Event
iter limit
node limit
Counts
120 → 120
Calls
Call 1
Inputs
1
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(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))
(* 1/2 (/ (exp (* -1 x)) eps))
(/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* 1/2 (exp (* -1 x))) (* 1/2 (* x (exp (* -1 x))))))) eps)
(/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (* x (exp (* -1 x)))))))))) eps)
(/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (* 1/4 (* (pow x 2) (exp (* -1 x))))))))))))) eps)
(* 1/2 (exp (* x (- eps 1))))
(+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps)))
(+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps)))
(+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps)))
(* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))
(+ (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps)))
(+ (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps)))
(+ (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps)))
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)))))
(* 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 (* 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))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* x (- (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
(+ 1 (* x (- (+ (* x (- (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))
(+ 1 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(- (+ (* 1/2 (exp (* -1 x))) (* 1/2 (* x (exp (* -1 x))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x))))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(- (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (* 1/4 (* (pow x 2) (exp (* -1 x))))) (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (*.f64 eps (*.f64 eps (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))))))))
(- (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/240 (* (pow x 5) (exp (* -1 x)))) (* 1/48 (* (pow x 4) (exp (* -1 x))))) (+ (* -1/48 (* (pow x 4) (exp (* -1 x)))) (* -1/240 (* (pow x 5) (exp (* -1 x))))))))) (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (*.f64 eps (*.f64 eps (+.f64 (+.f64 (*.f64 (*.f64 eps eps) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/48 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/240 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/48 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/240 binary64)))))) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))))))))
(- (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/240 (* (pow x 5) (exp (* -1 x)))) (+ (* 1/48 (* (pow x 4) (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/10080 (* (pow x 7) (exp (* -1 x)))) (* 1/1440 (* (pow x 6) (exp (* -1 x))))) (+ (* -1/1440 (* (pow x 6) (exp (* -1 x)))) (* -1/10080 (* (pow x 7) (exp (* -1 x))))))))) (+ (* -1/48 (* (pow x 4) (exp (* -1 x)))) (* -1/240 (* (pow x 5) (exp (* -1 x))))))))) (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (*.f64 (*.f64 eps eps) (+.f64 (+.f64 (*.f64 eps (*.f64 eps (+.f64 (+.f64 (*.f64 (*.f64 eps eps) (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 #s(literal 1/10080 binary64) (pow.f64 x #s(literal 7 binary64))) (*.f64 #s(literal 1/1440 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 #s(literal 1/10080 binary64) (pow.f64 x #s(literal 7 binary64))) (*.f64 #s(literal 1/1440 binary64) (pow.f64 x #s(literal 6 binary64))))))) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/48 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/240 binary64))))) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/48 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/240 binary64))))))) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))))))
(- (* 1/2 (exp (* x (- eps 1)))) (* -1/2 (exp (* -1 (* x (+ 1 eps))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(- (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps))) (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps))))
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal -1/2 binary64) eps))))
(- (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps))) (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps))))
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal -1/2 binary64) eps))))
(- (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps))) (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps))))
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal -1/2 binary64) eps))))
(- (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(- (+ (* -1 (/ (- (* -1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) eps)) (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) eps))
(- (+ (* -1 (/ (- (* -1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) eps)) (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) eps))
(- (+ (* -1 (/ (- (* -1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) eps)) (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) eps))
(+ 1/2 (* 1/2 (/ 1 eps)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
(+ 1/2 (+ (* 1/2 (/ 1 eps)) (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(+ 1/2 (+ (* 1/2 (/ 1 eps)) (* x (+ (* 1/2 (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 eps #s(literal -1 binary64))))))))
(+ 1/2 (+ (* 1/2 (/ 1 eps)) (* x (+ (* x (+ (* 1/6 (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal 1/6 binary64)))))))))
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(* 1/2 (/ (exp (* -1 x)) eps))
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1/2 binary64) eps))
(/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* 1/2 (exp (* -1 x))) (* 1/2 (* x (exp (* -1 x))))))) eps)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))))) eps)
(/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (* x (exp (* -1 x)))))))))) eps)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (*.f64 eps (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))))))) eps)
(/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (* 1/4 (* (pow x 2) (exp (* -1 x))))))))))))) eps)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (*.f64 eps (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 eps (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))))))))) eps)
(* 1/2 (exp (* x (- eps 1))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(+ (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(+ (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(+ (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* x (- eps 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (+.f64 eps #s(literal -1 binary64)))))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal 1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(+ (exp (* -1 x)) (* eps (* x (exp (* -1 x)))))
(*.f64 (+.f64 (*.f64 x eps) #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))
(+.f64 (*.f64 eps (*.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (+.f64 (*.f64 x eps) #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) 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))))))
(+.f64 (*.f64 (*.f64 eps eps) (+.f64 (*.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 1/6 binary64))) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 (+.f64 (*.f64 x eps) #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(+ (* -1 x) (* eps x))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(+ (* -1 x) (* eps x))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(+ (* -1 x) (* eps x))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* eps x)
(*.f64 x eps)
(* eps (+ x (* -1 (/ x eps))))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(* eps (+ x (* -1 (/ x eps))))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(* eps (+ x (* -1 (/ x eps))))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(* eps x)
(*.f64 x eps)
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(+ (* -1 x) (* -1 (* eps x)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(+ (* -1 x) (* -1 (* eps x)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(+ (* -1 x) (* -1 (* eps x)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* eps x))
(-.f64 #s(literal 0 binary64) (*.f64 x eps))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(-.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 x (/.f64 x eps))))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(-.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 x (/.f64 x eps))))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(-.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 x (/.f64 x eps))))
(* -1 (* eps x))
(-.f64 #s(literal 0 binary64) (*.f64 x eps))
(* -1 (* eps (+ x (/ x eps))))
(-.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 x (/.f64 x eps))))
(* -1 (* eps (+ x (/ x eps))))
(-.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 x (/.f64 x eps))))
(* -1 (* eps (+ x (/ x eps))))
(-.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 x (/.f64 x eps))))

eval70.0ms (0.5%)

Compiler

Compiled 19520 to 1152 computations (94.1% saved)

prune45.0ms (0.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New3436349
Fresh000
Picked101
Done000
Total3446350
Accuracy
100.0%
Counts
350 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.9%
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
33.3%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal 1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
79.2%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))
57.2%
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
98.9%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
44.8%
#s(literal 1 binary64)
Compiler

Compiled 326 to 180 computations (44.8% saved)

simplify192.0ms (1.5%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
cost-diff0
(/.f64 #s(literal 1/2 binary64) eps)
cost-diff0
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
cost-diff0
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
cost-diff0
(-.f64 #s(literal 0 binary64) x)
cost-diff0
(exp.f64 (-.f64 #s(literal 0 binary64) x))
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff128
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
cost-diff0
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
cost-diff0
(*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))
cost-diff256
(+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
cost-diff0
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
cost-diff0
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
cost-diff0
(+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Rules
1724×+-lowering-+.f64
1724×+-lowering-+.f32
1718×*-lowering-*.f32
1718×*-lowering-*.f64
1616×fnmadd-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
037452
1136448
2625428
34909418
46242398
08008398
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* 1/2 (+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps)))))
1/2
(+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps))))
(exp (* x (+ eps -1)))
(* x (+ eps -1))
x
(+ eps -1)
eps
-1
(exp (* x (- -1 eps)))
(* x (- -1 eps))
(- -1 eps)
1
(+ 1 (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))))
1
(* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))))
x
(+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))
(+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))
(* (+ 1/2 (/ 1/2 eps)) (+ eps -1))
(+ 1/2 (/ 1/2 eps))
1/2
(/ 1/2 eps)
eps
(+ eps -1)
-1
(* (+ 1 eps) (+ (/ 1/2 eps) -1/2))
(+ 1 eps)
(+ (/ 1/2 eps) -1/2)
-1/2
(* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))
(* x 1/2)
(+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))
(* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)))
(* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))
(* (- -1 eps) (+ (/ 1/2 eps) -1/2))
(- -1 eps)
(* (+ x 1) (exp (- 0 x)))
(+ x 1)
x
1
(exp (- 0 x))
(- 0 x)
0
(- (+ 1/2 (/ 1/2 eps)) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(+ 1/2 (/ 1/2 eps))
1/2
(/ 1/2 eps)
eps
(* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))
(exp (* x (- -1 eps)))
(* x (- -1 eps))
x
(- -1 eps)
-1
(+ (/ 1/2 eps) -1/2)
-1/2
Outputs
(* 1/2 (+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
1/2
#s(literal 1/2 binary64)
(+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps))))
(+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(exp (* x (+ eps -1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(* x (+ eps -1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
x
(+ eps -1)
(+.f64 eps #s(literal -1 binary64))
eps
-1
#s(literal -1 binary64)
(exp (* x (- -1 eps)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(* x (- -1 eps))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
1
#s(literal 1 binary64)
(+ 1 (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))) (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))))))
1
#s(literal 1 binary64)
(* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))))
(*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))) (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))))
x
(+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))
(+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))) (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))))
(+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))
(+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(* (+ 1/2 (/ 1/2 eps)) (+ eps -1))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(+ 1/2 (/ 1/2 eps))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
1/2
#s(literal 1/2 binary64)
(/ 1/2 eps)
(/.f64 #s(literal 1/2 binary64) eps)
eps
(+ eps -1)
(+.f64 eps #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(* (+ 1 eps) (+ (/ 1/2 eps) -1/2))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(+ 1 eps)
(+.f64 eps #s(literal 1 binary64))
(+ (/ 1/2 eps) -1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
-1/2
#s(literal -1/2 binary64)
(* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))))
(* x 1/2)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))
(+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))
(* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(* (- -1 eps) (+ (/ 1/2 eps) -1/2))
(*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
(* (+ x 1) (exp (- 0 x)))
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 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)
(- (+ 1/2 (/ 1/2 eps)) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))
(+ 1/2 (/ 1/2 eps))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
1/2
#s(literal 1/2 binary64)
(/ 1/2 eps)
(/.f64 #s(literal 1/2 binary64) eps)
eps
(* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(exp (* x (- -1 eps)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(* x (- -1 eps))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
x
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
-1
#s(literal -1 binary64)
(+ (/ 1/2 eps) -1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
-1/2
#s(literal -1/2 binary64)

localize747.0ms (5.8%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
accuracy100.0%
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
accuracy100.0%
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
accuracy75.7%
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
accuracy100.0%
(-.f64 #s(literal 0 binary64) x)
accuracy100.0%
(+.f64 x #s(literal 1 binary64))
accuracy100.0%
(exp.f64 (-.f64 #s(literal 0 binary64) x))
accuracy100.0%
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
accuracy100.0%
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))
accuracy97.0%
(*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))))
accuracy95.9%
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
accuracy63.2%
(+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
accuracy100.0%
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
accuracy100.0%
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
accuracy100.0%
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
accuracy100.0%
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
Results
410.0ms180×2valid
163.0ms40×3valid
44.0ms36×1valid
Compiler

Compiled 467 to 38 computations (91.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 271.0ms
backward-pass: 75.0ms (27.7% of total)
ival-mult: 65.0ms (24% of total)
ival-add: 50.0ms (18.5% of total)
ival-sub: 42.0ms (15.5% of total)
ival-div: 18.0ms (6.6% of total)
ival-exp: 18.0ms (6.6% of total)
const: 3.0ms (1.1% of total)

series34.0ms (0.3%)

Counts
21 → 396
Calls
Call 1
Inputs
#<alt (* 1/2 (+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps)))))>
#<alt (+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps))))>
#<alt (exp (* x (+ eps -1)))>
#<alt (* x (+ eps -1))>
#<alt (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))>
#<alt (+ 1 (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))))>
#<alt (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))))>
#<alt (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))>
#<alt (* (+ x 1) (exp (- 0 x)))>
#<alt (+ x 1)>
#<alt (exp (- 0 x))>
#<alt (- 0 x)>
#<alt (- (+ 1/2 (/ 1/2 eps)) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))>
#<alt (+ 1/2 (/ 1/2 eps))>
#<alt (/ 1/2 eps)>
#<alt (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))>
#<alt (* x (- -1 eps))>
#<alt (exp (* x (- -1 eps)))>
#<alt (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))>
#<alt (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))>
#<alt (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))>
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)))))>
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#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (/ (- 1/2 (* 1/2 (exp (* -1 x)))) eps)>
#<alt (/ (- (+ 1/2 (* eps (- 1/2 (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x)))))))) (* 1/2 (exp (* -1 x)))) eps)>
#<alt (/ (- (+ 1/2 (* eps (- (+ 1/2 (* -1 (* eps (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (* x (exp (* -1 x)))))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x)))))))) (* 1/2 (exp (* -1 x)))) eps)>
#<alt (/ (- (+ 1/2 (* eps (- (+ 1/2 (* eps (- (* -1 (* eps (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))) (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (* x (exp (* -1 x)))))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x)))))))) (* 1/2 (exp (* -1 x)))) eps)>
#<alt (- 1/2 (* -1/2 (exp (* -1 (* x (+ 1 eps))))))>
#<alt (- (+ 1/2 (* 1/2 (/ 1 eps))) (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps))))>
#<alt (- (+ 1/2 (* 1/2 (/ 1 eps))) (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps))))>
#<alt (- (+ 1/2 (* 1/2 (/ 1 eps))) (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps))))>
#<alt (- 1/2 (* -1/2 (exp (* x (- (* -1 eps) 1)))))>
#<alt (- (+ 1/2 (+ (* -1/2 (/ (exp (* x (- (* -1 eps) 1))) eps)) (* 1/2 (/ 1 eps)))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))>
#<alt (- (+ 1/2 (+ (* -1/2 (/ (exp (* x (- (* -1 eps) 1))) eps)) (* 1/2 (/ 1 eps)))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))>
#<alt (- (+ 1/2 (+ (* -1/2 (/ (exp (* x (- (* -1 eps) 1))) eps)) (* 1/2 (/ 1 eps)))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))>
#<alt 1>
#<alt (+ 1 (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (+ 1 (* x (- (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)))) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))>
#<alt (+ 1 (* x (- (* x (- (* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))>
#<alt (- (+ 1/2 (* 1/2 (/ 1 eps))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (- (+ 1/2 (* 1/2 (/ 1 eps))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (- (+ 1/2 (* 1/2 (/ 1 eps))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (- (+ 1/2 (* 1/2 (/ 1 eps))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (- (+ 1/2 (* 1/2 (/ 1 eps))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (- (+ 1/2 (* 1/2 (/ 1 eps))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (- (+ 1/2 (* 1/2 (/ 1 eps))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (- (+ 1/2 (* 1/2 (/ 1 eps))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (/ 1/2 eps)>
#<alt (/ (+ 1/2 (* 1/2 eps)) eps)>
#<alt (/ (+ 1/2 (* 1/2 eps)) eps)>
#<alt (/ (+ 1/2 (* 1/2 eps)) eps)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ 1 eps)))>
#<alt (+ 1/2 (* 1/2 (/ 1 eps)))>
#<alt (+ 1/2 (* 1/2 (/ 1 eps)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ 1 eps)))>
#<alt (+ 1/2 (* 1/2 (/ 1 eps)))>
#<alt (+ 1/2 (* 1/2 (/ 1 eps)))>
#<alt (/ 1/2 eps)>
#<alt (/ 1/2 eps)>
#<alt (/ 1/2 eps)>
#<alt (/ 1/2 eps)>
#<alt (/ 1/2 eps)>
#<alt (/ 1/2 eps)>
#<alt (/ 1/2 eps)>
#<alt (/ 1/2 eps)>
#<alt (/ 1/2 eps)>
#<alt (/ 1/2 eps)>
#<alt (/ 1/2 eps)>
#<alt (/ 1/2 eps)>
#<alt (- (* 1/2 (/ 1 eps)) 1/2)>
#<alt (- (+ (* -1 (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))) (* 1/2 (/ 1 eps))) 1/2)>
#<alt (- (+ (* 1/2 (/ 1 eps)) (* x (+ (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))))) 1/2)>
#<alt (- (+ (* 1/2 (/ 1 eps)) (* x (+ (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)))))))) 1/2)>
#<alt (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))>
#<alt (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))>
#<alt (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))>
#<alt (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))>
#<alt (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))>
#<alt (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))>
#<alt (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))>
#<alt (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))>
#<alt (* 1/2 (/ (exp (* -1 x)) eps))>
#<alt (/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x))))))) eps)>
#<alt (/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* -1/2 (exp (* -1 x))) (+ (* -1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (* x (exp (* -1 x)))))))))) eps)>
#<alt (/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* -1/2 (exp (* -1 x))) (+ (* -1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))))))))) eps)>
#<alt (* -1/2 (exp (* -1 (* x (+ 1 eps)))))>
#<alt (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps)))>
#<alt (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps)))>
#<alt (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps)))>
#<alt (* -1/2 (exp (* x (- (* -1 eps) 1))))>
#<alt (+ (* -1/2 (exp (* x (- (* -1 eps) 1)))) (* 1/2 (/ (exp (* x (- (* -1 eps) 1))) eps)))>
#<alt (+ (* -1/2 (exp (* x (- (* -1 eps) 1)))) (* 1/2 (/ (exp (* x (- (* -1 eps) 1))) eps)))>
#<alt (+ (* -1/2 (exp (* x (- (* -1 eps) 1)))) (* 1/2 (/ (exp (* x (- (* -1 eps) 1))) eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (* -1 (* eps x))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* -1 (* eps x))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<alt 1>
#<alt (+ 1 (* -1 (* x (+ 1 eps))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))>
#<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 (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<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>
#<alt (- (pow eps 2) 1)>
#<alt (- (pow eps 2) 1)>
#<alt (- (pow eps 2) 1)>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (- 1 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (- 1 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (- 1 (/ 1 (pow eps 2))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (- 1 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (- 1 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (- 1 (/ 1 (pow eps 2))))>
#<alt (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))>
#<alt (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))>
#<alt (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))>
#<alt (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))>
#<alt (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))>
#<alt (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))>
#<alt (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))>
#<alt (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))>
#<alt (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))>
#<alt (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))>
#<alt (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))>
#<alt (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))>
#<alt (* -1/2 x)>
#<alt (+ (* -1/2 x) (* 1/2 (* (pow eps 2) x)))>
#<alt (+ (* -1/2 x) (* 1/2 (* (pow eps 2) x)))>
#<alt (+ (* -1/2 x) (* 1/2 (* (pow eps 2) x)))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))>
#<alt (/ -1/2 eps)>
#<alt (/ (- (* 1/2 (pow eps 2)) 1/2) eps)>
#<alt (/ (- (* 1/2 (pow eps 2)) 1/2) eps)>
#<alt (/ (- (* 1/2 (pow eps 2)) 1/2) eps)>
#<alt (* 1/2 eps)>
#<alt (* eps (- 1/2 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* eps (- 1/2 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* eps (- 1/2 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* 1/2 eps)>
#<alt (* -1 (* eps (- (* 1/2 (/ 1 (pow eps 2))) 1/2)))>
#<alt (* -1 (* eps (- (* 1/2 (/ 1 (pow eps 2))) 1/2)))>
#<alt (* -1 (* eps (- (* 1/2 (/ 1 (pow eps 2))) 1/2)))>
Calls

99 calls:

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

rewrite346.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
2904×*-lowering-*.f32
2904×*-lowering-*.f64
2324×fma-lowering-fma.f32
2324×fma-lowering-fma.f64
1522×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037339
1287334
23396318
08086318
Stop Event
iter limit
node limit
Counts
21 → 492
Calls
Call 1
Inputs
(* 1/2 (+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps)))))
(+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps))))
(exp (* x (+ eps -1)))
(* x (+ eps -1))
(+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))
(+ 1 (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))))
(* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))))
(+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))
(* (+ x 1) (exp (- 0 x)))
(+ x 1)
(exp (- 0 x))
(- 0 x)
(- (+ 1/2 (/ 1/2 eps)) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(+ 1/2 (/ 1/2 eps))
(/ 1/2 eps)
(* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))
(* x (- -1 eps))
(exp (* x (- -1 eps)))
(+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))
(* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))
(* (+ 1/2 (/ 1/2 eps)) (+ eps -1))
Outputs
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.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 eps #s(literal -1 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.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 eps #s(literal -1 binary64))))))
(fma.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #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 eps #s(literal -1 binary64))))))
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) #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 eps #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))))
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simplify267.0ms (2.1%)

Algorithm
egg-herbie
Rules
3544×*-lowering-*.f32
3544×*-lowering-*.f64
2760×+-lowering-+.f64
2760×+-lowering-+.f32
1572×sum5-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04105618
114414895
256074658
084974658
Stop Event
iter limit
node limit
Counts
396 → 396
Calls
Call 1
Inputs
1
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(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
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2
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1
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(* x (+ (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))))
(* 1/2 (* (pow x 2) (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))
(* (pow x 2) (+ (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x))))
(* (pow x 2) (+ (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x))))
(* (pow x 2) (+ (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x))))
(* 1/2 (* (pow x 2) (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))
(* (pow x 2) (+ (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x))))
(* (pow x 2) (+ (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x))))
(* (pow x 2) (+ (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x))))
(* -1/2 (pow x 2))
(+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2))))
(+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2))))
(+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/2 (pow x 2))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/2 (pow x 2))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/2 (pow x 2))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/2 (pow x 2))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/2 (pow x 2))))
(* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/2 (pow x 2))))
0
0
0
0
0
0
0
0
0
0
0
0
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)))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 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 (* 1/2 (exp (* -1 x)))) eps)
(/ (- (+ 1/2 (* eps (- 1/2 (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x)))))))) (* 1/2 (exp (* -1 x)))) eps)
(/ (- (+ 1/2 (* eps (- (+ 1/2 (* -1 (* eps (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (* x (exp (* -1 x)))))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x)))))))) (* 1/2 (exp (* -1 x)))) eps)
(/ (- (+ 1/2 (* eps (- (+ 1/2 (* eps (- (* -1 (* eps (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))) (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (* x (exp (* -1 x)))))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x)))))))) (* 1/2 (exp (* -1 x)))) eps)
(- 1/2 (* -1/2 (exp (* -1 (* x (+ 1 eps))))))
(- (+ 1/2 (* 1/2 (/ 1 eps))) (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps))))
(- (+ 1/2 (* 1/2 (/ 1 eps))) (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps))))
(- (+ 1/2 (* 1/2 (/ 1 eps))) (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps))))
(- 1/2 (* -1/2 (exp (* x (- (* -1 eps) 1)))))
(- (+ 1/2 (+ (* -1/2 (/ (exp (* x (- (* -1 eps) 1))) eps)) (* 1/2 (/ 1 eps)))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))
(- (+ 1/2 (+ (* -1/2 (/ (exp (* x (- (* -1 eps) 1))) eps)) (* 1/2 (/ 1 eps)))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))
(- (+ 1/2 (+ (* -1/2 (/ (exp (* x (- (* -1 eps) 1))) eps)) (* 1/2 (/ 1 eps)))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))
1
(+ 1 (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))
(+ 1 (* x (- (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)))) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))
(+ 1 (* x (- (* x (- (* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))
(- (+ 1/2 (* 1/2 (/ 1 eps))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(- (+ 1/2 (* 1/2 (/ 1 eps))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(- (+ 1/2 (* 1/2 (/ 1 eps))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(- (+ 1/2 (* 1/2 (/ 1 eps))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(- (+ 1/2 (* 1/2 (/ 1 eps))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(- (+ 1/2 (* 1/2 (/ 1 eps))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(- (+ 1/2 (* 1/2 (/ 1 eps))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(- (+ 1/2 (* 1/2 (/ 1 eps))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(/ 1/2 eps)
(/ (+ 1/2 (* 1/2 eps)) eps)
(/ (+ 1/2 (* 1/2 eps)) eps)
(/ (+ 1/2 (* 1/2 eps)) 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)))
(/ 1/2 eps)
(/ 1/2 eps)
(/ 1/2 eps)
(/ 1/2 eps)
(/ 1/2 eps)
(/ 1/2 eps)
(/ 1/2 eps)
(/ 1/2 eps)
(/ 1/2 eps)
(/ 1/2 eps)
(/ 1/2 eps)
(/ 1/2 eps)
(- (* 1/2 (/ 1 eps)) 1/2)
(- (+ (* -1 (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))) (* 1/2 (/ 1 eps))) 1/2)
(- (+ (* 1/2 (/ 1 eps)) (* x (+ (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))))) 1/2)
(- (+ (* 1/2 (/ 1 eps)) (* x (+ (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)))))))) 1/2)
(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))
(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))
(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))
(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))
(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))
(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))
(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))
(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))
(* 1/2 (/ (exp (* -1 x)) eps))
(/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x))))))) eps)
(/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* -1/2 (exp (* -1 x))) (+ (* -1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (* x (exp (* -1 x)))))))))) eps)
(/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* -1/2 (exp (* -1 x))) (+ (* -1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))))))))) eps)
(* -1/2 (exp (* -1 (* x (+ 1 eps)))))
(+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps)))
(+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps)))
(+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps)))
(* -1/2 (exp (* x (- (* -1 eps) 1))))
(+ (* -1/2 (exp (* x (- (* -1 eps) 1)))) (* 1/2 (/ (exp (* x (- (* -1 eps) 1))) eps)))
(+ (* -1/2 (exp (* x (- (* -1 eps) 1)))) (* 1/2 (/ (exp (* x (- (* -1 eps) 1))) eps)))
(+ (* -1/2 (exp (* x (- (* -1 eps) 1)))) (* 1/2 (/ (exp (* x (- (* -1 eps) 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)))
-1
(- (pow eps 2) 1)
(- (pow eps 2) 1)
(- (pow eps 2) 1)
(pow eps 2)
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(pow eps 2)
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))
(* -1/2 x)
(+ (* -1/2 x) (* 1/2 (* (pow eps 2) x)))
(+ (* -1/2 x) (* 1/2 (* (pow eps 2) x)))
(+ (* -1/2 x) (* 1/2 (* (pow eps 2) x)))
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(/ -1/2 eps)
(/ (- (* 1/2 (pow eps 2)) 1/2) eps)
(/ (- (* 1/2 (pow eps 2)) 1/2) eps)
(/ (- (* 1/2 (pow eps 2)) 1/2) eps)
(* 1/2 eps)
(* eps (- 1/2 (* 1/2 (/ 1 (pow eps 2)))))
(* eps (- 1/2 (* 1/2 (/ 1 (pow eps 2)))))
(* eps (- 1/2 (* 1/2 (/ 1 (pow eps 2)))))
(* 1/2 eps)
(* -1 (* eps (- (* 1/2 (/ 1 (pow eps 2))) 1/2)))
(* -1 (* eps (- (* 1/2 (/ 1 (pow eps 2))) 1/2)))
(* -1 (* eps (- (* 1/2 (/ 1 (pow eps 2))) 1/2)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps))))))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (+.f64 #s(literal -1 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.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))))))))
(+ 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)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps))) #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.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 #s(literal 1/6 binary64) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) (*.f64 #s(literal 1/4 binary64) (+.f64 (*.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))))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
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eval167.0ms (1.3%)

Compiler

Compiled 52757 to 3236 computations (93.9% saved)

prune136.0ms (1.1%)

Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New1196201216
Fresh101
Picked415
Done000
Total1201211222
Accuracy
100.0%
Counts
1222 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.2%
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
15.4%
(/.f64 x (exp.f64 x))
31.8%
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
35.5%
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x #s(literal -1/6 binary64)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
54.8%
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
39.1%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
44.0%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))))))
47.8%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))
53.5%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
79.1%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))))
43.9%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
79.5%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x)))))
68.5%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
43.8%
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
44.6%
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
35.6%
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
60.9%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x #s(literal -1/6 binary64))))))))))
62.5%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)))
86.7%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
71.0%
(exp.f64 (-.f64 #s(literal 0 binary64) x))
44.8%
#s(literal 1 binary64)
Compiler

Compiled 763 to 473 computations (38% saved)

simplify173.0ms (1.3%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (+.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))
cost-diff128
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps))
cost-diff256
(+.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
cost-diff0
(+.f64 #s(literal 1 binary64) eps)
cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) eps))
cost-diff0
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
cost-diff0
(*.f64 eps (*.f64 #s(literal 1/2 binary64) x))
cost-diff0
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x)))
cost-diff0
(*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x)))))
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff128
(*.f64 (+.f64 x #s(literal 1 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
3146×*-lowering-*.f32
3146×*-lowering-*.f64
1850×fma-lowering-fma.f32
1850×fma-lowering-fma.f64
1482×+-lowering-+.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
050537
1173524
2677501
34526491
47539485
08176485
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 1) 1)
(+ x 1)
x
1
(+ 1 (* x (* eps (* eps (* 1/2 x)))))
1
(* x (* eps (* eps (* 1/2 x))))
x
(* eps (* eps (* 1/2 x)))
eps
(* eps (* 1/2 x))
(* 1/2 x)
1/2
(+ 1 (* (* x (+ 1 eps)) (+ -1/2 (/ 1/2 eps))))
1
(* (* x (+ 1 eps)) (+ -1/2 (/ 1/2 eps)))
(* x (+ 1 eps))
x
(+ 1 eps)
eps
(+ -1/2 (/ 1/2 eps))
-1/2
(/ 1/2 eps)
1/2
(+ 1 (* x (+ (+ (/ (* (+ 1/2 (/ 1/2 eps)) (+ -1 (* eps (* eps eps)))) (+ (* eps eps) (- 1 (- 0 eps)))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))))
1
(* x (+ (+ (/ (* (+ 1/2 (/ 1/2 eps)) (+ -1 (* eps (* eps eps)))) (+ (* eps eps) (- 1 (- 0 eps)))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))))
x
(+ (+ (/ (* (+ 1/2 (/ 1/2 eps)) (+ -1 (* eps (* eps eps)))) (+ (* eps eps) (- 1 (- 0 eps)))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))
(+ (/ (* (+ 1/2 (/ 1/2 eps)) (+ -1 (* eps (* eps eps)))) (+ (* eps eps) (- 1 (- 0 eps)))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))
(/ (* (+ 1/2 (/ 1/2 eps)) (+ -1 (* eps (* eps eps)))) (+ (* eps eps) (- 1 (- 0 eps))))
(* (+ 1/2 (/ 1/2 eps)) (+ -1 (* eps (* eps eps))))
(+ 1/2 (/ 1/2 eps))
1/2
(/ 1/2 eps)
eps
(+ -1 (* eps (* eps eps)))
-1
(* eps (* eps eps))
(* eps eps)
(+ (* eps eps) (- 1 (- 0 eps)))
(- 1 (- 0 eps))
(- 0 eps)
0
(* (+ 1 eps) (+ (/ 1/2 eps) -1/2))
(+ 1 eps)
(+ (/ 1/2 eps) -1/2)
-1/2
(* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))
(* x 1/2)
(+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))
(* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)))
(+ eps -1)
(* (+ 1/2 (/ 1/2 eps)) (+ eps -1))
(* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))
(* (- -1 eps) (+ (/ 1/2 eps) -1/2))
(- -1 eps)
Outputs
(* 1/2 (+ (exp (* x eps)) (exp (* x (- -1 eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
1/2
#s(literal 1/2 binary64)
(+ (exp (* x eps)) (exp (* x (- -1 eps))))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(exp (* x eps))
(exp.f64 (*.f64 x eps))
(* x eps)
(*.f64 x eps)
x
eps
(exp (* x (- -1 eps)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(* x (- -1 eps))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
-1
#s(literal -1 binary64)
(* (+ x 1) 1)
(+.f64 x #s(literal 1 binary64))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
(+ 1 (* x (* eps (* eps (* 1/2 x)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))
1
#s(literal 1 binary64)
(* x (* eps (* eps (* 1/2 x))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
x
(* eps (* eps (* 1/2 x)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))
eps
(* eps (* 1/2 x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
(+ 1 (* (* x (+ 1 eps)) (+ -1/2 (/ 1/2 eps))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
1
#s(literal 1 binary64)
(* (* x (+ 1 eps)) (+ -1/2 (/ 1/2 eps)))
(*.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(* x (+ 1 eps))
(*.f64 x (+.f64 eps #s(literal 1 binary64)))
x
(+ 1 eps)
(+.f64 eps #s(literal 1 binary64))
eps
(+ -1/2 (/ 1/2 eps))
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
-1/2
#s(literal -1/2 binary64)
(/ 1/2 eps)
(/.f64 #s(literal 1/2 binary64) eps)
1/2
#s(literal 1/2 binary64)
(+ 1 (* x (+ (+ (/ (* (+ 1/2 (/ 1/2 eps)) (+ -1 (* eps (* eps eps)))) (+ (* eps eps) (- 1 (- 0 eps)))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal 1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))))))
1
#s(literal 1 binary64)
(* x (+ (+ (/ (* (+ 1/2 (/ 1/2 eps)) (+ -1 (* eps (* eps eps)))) (+ (* eps eps) (- 1 (- 0 eps)))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))))
(*.f64 x (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal 1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))))
x
(+ (+ (/ (* (+ 1/2 (/ 1/2 eps)) (+ -1 (* eps (* eps eps)))) (+ (* eps eps) (- 1 (- 0 eps)))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal 1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))))
(+ (/ (* (+ 1/2 (/ 1/2 eps)) (+ -1 (* eps (* eps eps)))) (+ (* eps eps) (- 1 (- 0 eps)))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal 1 binary64))))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(/ (* (+ 1/2 (/ 1/2 eps)) (+ -1 (* eps (* eps eps)))) (+ (* eps eps) (- 1 (- 0 eps))))
(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal 1 binary64)))))
(* (+ 1/2 (/ 1/2 eps)) (+ -1 (* eps (* eps eps))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))))
(+ 1/2 (/ 1/2 eps))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
1/2
#s(literal 1/2 binary64)
(/ 1/2 eps)
(/.f64 #s(literal 1/2 binary64) eps)
eps
(+ -1 (* eps (* eps eps)))
(+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))
-1
#s(literal -1 binary64)
(* eps (* eps eps))
(*.f64 eps (*.f64 eps eps))
(* eps eps)
(*.f64 eps eps)
(+ (* eps eps) (- 1 (- 0 eps)))
(+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal 1 binary64))))
(- 1 (- 0 eps))
(+.f64 eps #s(literal 1 binary64))
(- 0 eps)
(-.f64 #s(literal 0 binary64) eps)
0
#s(literal 0 binary64)
(* (+ 1 eps) (+ (/ 1/2 eps) -1/2))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(+ 1 eps)
(+.f64 eps #s(literal 1 binary64))
(+ (/ 1/2 eps) -1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
-1/2
#s(literal -1/2 binary64)
(* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))))
(* x 1/2)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))
(* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))
(+ eps -1)
(+.f64 eps #s(literal -1 binary64))
(* (+ 1/2 (/ 1/2 eps)) (+ eps -1))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))
(* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))
(*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(* (- -1 eps) (+ (/ 1/2 eps) -1/2))
(*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)

localize855.0ms (6.6%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy97.0%
(*.f64 x (+.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))))
accuracy95.9%
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
accuracy63.2%
(+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
accuracy62.1%
(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps))))
accuracy100.0%
(+.f64 #s(literal 1 binary64) eps)
accuracy100.0%
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
accuracy100.0%
(*.f64 x (+.f64 #s(literal 1 binary64) eps))
accuracy99.9%
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
accuracy100.0%
(*.f64 eps (*.f64 #s(literal 1/2 binary64) x))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) x)
accuracy99.8%
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x)))
accuracy96.2%
(*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))))
accuracy100.0%
(+.f64 x #s(literal 1 binary64))
accuracy100.0%
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
accuracy100.0%
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
accuracy100.0%
(exp.f64 (*.f64 x eps))
accuracy100.0%
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
accuracy100.0%
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
Results
508.0ms181×2valid
150.0ms40×3valid
50.0ms35×1valid
Compiler

Compiled 591 to 51 computations (91.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 321.0ms
ival-mult: 117.0ms (36.5% of total)
backward-pass: 78.0ms (24.3% of total)
ival-add: 70.0ms (21.8% of total)
ival-div: 32.0ms (10% of total)
ival-sub: 13.0ms (4.1% of total)
ival-exp: 9.0ms (2.8% of total)
const: 3.0ms (0.9% of total)

series39.0ms (0.3%)

Counts
25 → 504
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 1) 1)>
#<alt (+ x 1)>
#<alt (+ 1 (* x (* eps (* eps (* 1/2 x)))))>
#<alt (* x (* eps (* eps (* 1/2 x))))>
#<alt (* eps (* eps (* 1/2 x)))>
#<alt (* eps (* 1/2 x))>
#<alt (+ 1 (* (* x (+ 1 eps)) (+ -1/2 (/ 1/2 eps))))>
#<alt (* (* x (+ 1 eps)) (+ -1/2 (/ 1/2 eps)))>
#<alt (* x (+ 1 eps))>
#<alt (+ 1 eps)>
#<alt (+ (+ (/ (* (+ 1/2 (/ 1/2 eps)) (+ -1 (* eps (* eps eps)))) (+ (* eps eps) (- 1 (- 0 eps)))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))>
#<alt (- 1 (- 0 eps))>
#<alt (+ 1 (* x (+ (+ (/ (* (+ 1/2 (/ 1/2 eps)) (+ -1 (* eps (* eps eps)))) (+ (* eps eps) (- 1 (- 0 eps)))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))))>
#<alt (* x (+ (+ (/ (* (+ 1/2 (/ 1/2 eps)) (+ -1 (* eps (* eps eps)))) (+ (* eps eps) (- 1 (- 0 eps)))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))))>
#<alt (* x (- -1 eps))>
#<alt (exp (* x (- -1 eps)))>
#<alt (* 1/2 x)>
#<alt (+ -1/2 (/ 1/2 eps))>
#<alt (/ (* (+ 1/2 (/ 1/2 eps)) (+ -1 (* eps (* eps eps)))) (+ (* eps eps) (- 1 (- 0 eps))))>
#<alt (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))>
#<alt (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))>
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))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ 1 (exp (* -1 x))))>
#<alt (+ (* 1/2 (* eps (+ x (* -1 (* x (exp (* -1 x))))))) (* 1/2 (+ 1 (exp (* -1 x)))))>
#<alt (+ (* 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)))))))))>
#<alt (+ (* 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)))))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))>
#<alt 2>
#<alt (+ 2 (* x (+ eps (* -1 (+ 1 eps)))))>
#<alt (+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))))))>
#<alt (+ 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)))))))))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ 1 (exp (* -1 x)))>
#<alt (+ 1 (+ (exp (* -1 x)) (* eps (+ x (* -1 (* x (exp (* -1 x))))))))>
#<alt (+ 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)))))))))>
#<alt (+ 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))))))))))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))>
#<alt (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))>
#<alt (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))>
#<alt (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))>
#<alt 1>
#<alt (+ 1 (* eps x))>
#<alt (+ 1 (* x (+ eps (* 1/2 (* (pow eps 2) x)))))>
#<alt (+ 1 (* x (+ eps (* x (+ (* 1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2)))))))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt 1>
#<alt (+ 1 (* eps x))>
#<alt (+ 1 (* eps (+ x (* 1/2 (* eps (pow x 2))))))>
#<alt (+ 1 (* eps (+ x (* eps (+ (* 1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* 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 (* eps 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 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 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 (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<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 (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt 1>
#<alt (+ 1 (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (+ 1 (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (+ 1 (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (* x (+ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (/ 1 x)))>
#<alt (* x (+ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (/ 1 x)))>
#<alt (* x (+ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (/ 1 x)))>
#<alt (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))) (/ 1 x))))>
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#<alt (- (* 1/2 (/ 1 eps)) 1/2)>
#<alt -1/2>
#<alt (- (* 1/2 (/ 1 eps)) 1/2)>
#<alt (- (* 1/2 (/ 1 eps)) 1/2)>
#<alt (- (* 1/2 (/ 1 eps)) 1/2)>
#<alt (/ -1/2 eps)>
#<alt (/ (- (* 1/2 (pow eps 2)) 1/2) eps)>
#<alt (/ (- (* 1/2 (pow eps 2)) 1/2) eps)>
#<alt (/ (- (* 1/2 (pow eps 2)) 1/2) eps)>
#<alt (* 1/2 eps)>
#<alt (* eps (- 1/2 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* eps (- 1/2 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* eps (- 1/2 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* 1/2 eps)>
#<alt (* -1 (* eps (- (* 1/2 (/ 1 (pow eps 2))) 1/2)))>
#<alt (* -1 (* eps (- (* 1/2 (/ 1 (pow eps 2))) 1/2)))>
#<alt (* -1 (* eps (- (* 1/2 (/ 1 (pow eps 2))) 1/2)))>
#<alt -1>
#<alt (- (pow eps 2) 1)>
#<alt (- (pow eps 2) 1)>
#<alt (- (pow eps 2) 1)>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (- 1 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (- 1 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (- 1 (/ 1 (pow eps 2))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (- 1 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (- 1 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (- 1 (/ 1 (pow eps 2))))>
#<alt (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))>
#<alt (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))>
#<alt (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))>
#<alt (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))>
#<alt (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))>
#<alt (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))>
#<alt (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))>
#<alt (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))>
#<alt (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))>
#<alt (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))>
#<alt (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))>
#<alt (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))>
#<alt (* -1/2 x)>
#<alt (+ (* -1/2 x) (* 1/2 (* (pow eps 2) x)))>
#<alt (+ (* -1/2 x) (* 1/2 (* (pow eps 2) x)))>
#<alt (+ (* -1/2 x) (* 1/2 (* (pow eps 2) x)))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))>
Calls

126 calls:

TimeVariablePointExpression
6.0ms
eps
@0
(* x eps)
2.0ms
eps
@inf
(* eps (* 1/2 x))
1.0ms
x
@0
(* 1/2 (+ (exp (* x eps)) (exp (* x (- -1 eps)))))
1.0ms
x
@0
(+ (+ (/ (* (+ 1/2 (/ 1/2 eps)) (+ -1 (* eps (* eps eps)))) (+ (* eps eps) (- 1 (- 0 eps)))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))
1.0ms
eps
@0
(+ (+ (/ (* (+ 1/2 (/ 1/2 eps)) (+ -1 (* eps (* eps eps)))) (+ (* eps eps) (- 1 (- 0 eps)))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))

rewrite300.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
2450×*-lowering-*.f32
2450×*-lowering-*.f64
1608×/-lowering-/.f32
1608×/-lowering-/.f64
1442×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050374
1382332
24695317
08019317
Stop Event
iter limit
node limit
Counts
25 → 441
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 1) 1)
(+ x 1)
(+ 1 (* x (* eps (* eps (* 1/2 x)))))
(* x (* eps (* eps (* 1/2 x))))
(* eps (* eps (* 1/2 x)))
(* eps (* 1/2 x))
(+ 1 (* (* x (+ 1 eps)) (+ -1/2 (/ 1/2 eps))))
(* (* x (+ 1 eps)) (+ -1/2 (/ 1/2 eps)))
(* x (+ 1 eps))
(+ 1 eps)
(+ (+ (/ (* (+ 1/2 (/ 1/2 eps)) (+ -1 (* eps (* eps eps)))) (+ (* eps eps) (- 1 (- 0 eps)))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))
(- 1 (- 0 eps))
(+ 1 (* x (+ (+ (/ (* (+ 1/2 (/ 1/2 eps)) (+ -1 (* eps (* eps eps)))) (+ (* eps eps) (- 1 (- 0 eps)))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))))
(* x (+ (+ (/ (* (+ 1/2 (/ 1/2 eps)) (+ -1 (* eps (* eps eps)))) (+ (* eps eps) (- 1 (- 0 eps)))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))))
(* x (- -1 eps))
(exp (* x (- -1 eps)))
(* 1/2 x)
(+ -1/2 (/ 1/2 eps))
(/ (* (+ 1/2 (/ 1/2 eps)) (+ -1 (* eps (* eps eps)))) (+ (* eps eps) (- 1 (- 0 eps))))
(+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))
(* (* x 1/2) (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))
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))))
(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 (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)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)))) (-.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 (*.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 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x 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 #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 (*.f64 x eps) (*.f64 x eps))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (-.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 (*.f64 x eps) (*.f64 x eps))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.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 #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 (*.f64 x eps) (*.f64 x 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)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (-.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 (*.f64 x eps) (*.f64 x eps))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.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 (+.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (-.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)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (-.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 (*.f64 x eps) (*.f64 x eps))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (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)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps)))) (-.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(pow.f64 (/.f64 (-.f64 (+.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (-.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))
(pow.f64 (/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) #s(literal -1 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 #s(literal 1 binary64) (-.f64 (+.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(*.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(exp.f64 (*.f64 x eps))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) eps))
(pow.f64 (exp.f64 x) eps)
(pow.f64 (exp.f64 eps) x)
(*.f64 (pow.f64 (exp.f64 x) (/.f64 eps #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 eps #s(literal 2 binary64))))
(*.f64 x eps)
(*.f64 eps x)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))
(/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
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(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x))))) (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))))))) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (-.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))))
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(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))))) (*.f64 #s(literal 1/2 binary64) x)) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (-.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))))
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(*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))))
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(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))) x)
(*.f64 (*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) x) #s(literal 1/2 binary64))

simplify306.0ms (2.4%)

Algorithm
egg-herbie
Rules
4232×+-lowering-+.f64
4232×+-lowering-+.f32
3658×*-lowering-*.f32
3658×*-lowering-*.f64
1986×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03155973
111595158
245104939
084264939
Stop Event
iter limit
node limit
Counts
504 → 504
Calls
Call 1
Inputs
1
(+ 1 (* 1/2 (* x (+ eps (* -1 (+ 1 eps))))))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))) (* 1/2 (+ eps (* -1 (+ 1 eps)))))))
(+ 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)))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ 1 (exp (* -1 x))))
(+ (* 1/2 (* eps (+ x (* -1 (* x (exp (* -1 x))))))) (* 1/2 (+ 1 (exp (* -1 x)))))
(+ (* 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)))))))))
(+ (* 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)))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))
2
(+ 2 (* x (+ eps (* -1 (+ 1 eps)))))
(+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))))))
(+ 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)))))))))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ 1 (exp (* -1 x)))
(+ 1 (+ (exp (* -1 x)) (* eps (+ x (* -1 (* x (exp (* -1 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)))))))))
(+ 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))))))))))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))
(+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))
(+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))
(+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))
1
(+ 1 (* eps x))
(+ 1 (* x (+ eps (* 1/2 (* (pow eps 2) x)))))
(+ 1 (* x (+ eps (* x (+ (* 1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2)))))))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
1
(+ 1 (* eps x))
(+ 1 (* eps (+ x (* 1/2 (* eps (pow x 2))))))
(+ 1 (* eps (+ x (* eps (+ (* 1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
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(* eps x)
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(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
1
(+ 1 x)
(+ 1 x)
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x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
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))))
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))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
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(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
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(* 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 eps)
(/ (+ 1/2 (* -1/2 eps)) eps)
(/ (+ 1/2 (* -1/2 eps)) eps)
(/ (+ 1/2 (* -1/2 eps)) eps)
-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)) 1/2)
(/ -1/2 eps)
(/ (- (* 1/2 (pow eps 2)) 1/2) eps)
(/ (- (* 1/2 (pow eps 2)) 1/2) eps)
(/ (- (* 1/2 (pow eps 2)) 1/2) eps)
(* 1/2 eps)
(* eps (- 1/2 (* 1/2 (/ 1 (pow eps 2)))))
(* eps (- 1/2 (* 1/2 (/ 1 (pow eps 2)))))
(* eps (- 1/2 (* 1/2 (/ 1 (pow eps 2)))))
(* 1/2 eps)
(* -1 (* eps (- (* 1/2 (/ 1 (pow eps 2))) 1/2)))
(* -1 (* eps (- (* 1/2 (/ 1 (pow eps 2))) 1/2)))
(* -1 (* eps (- (* 1/2 (/ 1 (pow eps 2))) 1/2)))
-1
(- (pow eps 2) 1)
(- (pow eps 2) 1)
(- (pow eps 2) 1)
(pow eps 2)
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(pow eps 2)
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))
(* -1/2 x)
(+ (* -1/2 x) (* 1/2 (* (pow eps 2) x)))
(+ (* -1/2 x) (* 1/2 (* (pow eps 2) x)))
(+ (* -1/2 x) (* 1/2 (* (pow eps 2) x)))
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (+ eps (* -1 (+ 1 eps))))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps #s(literal 0 binary64))) (*.f64 #s(literal 1/2 binary64) x)))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))) (* 1/2 (+ eps (* -1 (+ 1 eps)))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps #s(literal 0 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) x))))))
(+ 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)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps #s(literal 0 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps)))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x #s(literal 1/6 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))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(+ (* 1/2 (* eps (+ x (* -1 (* x (exp (* -1 x))))))) (* 1/2 (+ 1 (exp (* -1 x)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x eps) (*.f64 (+.f64 (*.f64 eps (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))))))
(+ (* 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)))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 eps (+.f64 x (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (-.f64 (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))))
(+ (* 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)))))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x eps) (*.f64 (+.f64 (*.f64 eps (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))))) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x eps)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) x)))))))
(* 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)))))
(+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 eps #s(literal 0 binary64)))) #s(literal 2 binary64))
(+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))))))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps #s(literal 0 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) x)))))
(+ 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)))))))))))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps #s(literal 0 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps)))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x #s(literal 1/6 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))))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x eps)) (*.f64 (+.f64 (*.f64 eps (-.f64 #s(literal 0 binary64) x)) #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)))))))))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 eps (+.f64 x (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (-.f64 (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x 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 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x eps)) (*.f64 (+.f64 (*.f64 eps (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (*.f64 eps (*.f64 eps (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x (*.f64 x eps)))))) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps #s(literal 1/6 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))
(+.f64 #s(literal 1 binary64) (*.f64 x eps))
(+ 1 (* x (+ eps (* 1/2 (* (pow eps 2) x)))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))))))
(+ 1 (* x (+ eps (* x (+ (* 1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x #s(literal 1/6 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))
(+.f64 #s(literal 1 binary64) (*.f64 x eps))
(+ 1 (* eps (+ x (* 1/2 (* eps (pow x 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))))))
(+ 1 (* eps (+ x (* eps (+ (* 1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 x (*.f64 eps (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) x)))))))
(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 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
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(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(+.f64 #s(literal -1 binary64) (*.f64 eps eps))
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(+.f64 #s(literal -1 binary64) (*.f64 eps eps))
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))
(* -1/2 x)
(*.f64 x #s(literal -1/2 binary64))
(+ (* -1/2 x) (* 1/2 (* (pow eps 2) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64)))
(+ (* -1/2 x) (* 1/2 (* (pow eps 2) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64)))
(+ (* -1/2 x) (* 1/2 (* (pow eps 2) x)))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) #s(literal -1/2 binary64)))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps)))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(*.f64 (*.f64 eps eps) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(*.f64 (*.f64 eps eps) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(*.f64 (*.f64 eps eps) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps)))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(*.f64 (*.f64 eps eps) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(*.f64 (*.f64 eps eps) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(*.f64 (*.f64 eps eps) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))

eval145.0ms (1.1%)

Compiler

Compiled 41721 to 2397 computations (94.3% saved)

prune216.0ms (1.7%)

Pruning

28 alts after pruning (26 fresh and 2 done)

PrunedKeptTotal
New1011161027
Fresh51015
Picked415
Done011
Total1020281048
Accuracy
100.0%
Counts
1048 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.2%
(/.f64 (-.f64 (*.f64 (*.f64 x eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))))) #s(literal 1 binary64)) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64)))
57.2%
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
46.3%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (*.f64 (*.f64 x eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64)))))
2.7%
(/.f64 (*.f64 #s(literal 1/2 binary64) x) eps)
15.4%
(/.f64 x (exp.f64 x))
31.8%
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
35.5%
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x #s(literal -1/6 binary64)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
54.8%
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
37.0%
(+.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))) #s(literal 1 binary64))
76.6%
(+.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64))
44.6%
(+.f64 x #s(literal 1 binary64))
32.9%
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
44.0%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))))))
76.6%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))))
42.3%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) eps)))))))
53.5%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
43.9%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
51.3%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))
68.5%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
9.9%
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
35.6%
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
65.5%
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 x (*.f64 eps (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) x))))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
65.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps))))))))))
86.7%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
62.4%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
44.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
3.0%
x
44.8%
#s(literal 1 binary64)
Compiler

Compiled 990 to 582 computations (41.2% saved)

simplify230.0ms (1.8%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (*.f64 (*.f64 x eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64)))))
cost-diff128
(*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64)))
cost-diff128
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))))
cost-diff128
(*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (*.f64 (*.f64 x eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))))))
cost-diff0
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64))))))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))))))
cost-diff0
(*.f64 eps eps)
cost-diff0
(*.f64 x (*.f64 eps eps))
cost-diff0
(*.f64 x (*.f64 x (*.f64 eps eps)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
cost-diff0
(*.f64 x eps)
cost-diff0
(*.f64 (*.f64 x eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))))
Rules
4444×*-lowering-*.f32
4444×*-lowering-*.f64
2112×fma-lowering-fma.f32
2112×fma-lowering-fma.f64
1700×fmsub-define
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
032341
1103239
2422214
31677208
43483205
54090202
65614202
08064202
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ 1 (* (* x eps) (* 1/2 (* x eps))))
1
(* (* x eps) (* 1/2 (* x eps)))
(* x eps)
x
eps
(* 1/2 (* x eps))
1/2
x
(* 1/2 (* x (* x (* eps eps))))
1/2
(* x (* x (* eps eps)))
x
(* x (* eps eps))
(* eps eps)
eps
(+ 1 (* (* x x) (+ -1/2 (* x (+ 1/3 (* x -1/8))))))
1
(* (* x x) (+ -1/2 (* x (+ 1/3 (* x -1/8)))))
(* x x)
x
(+ -1/2 (* x (+ 1/3 (* x -1/8))))
-1/2
(* x (+ 1/3 (* x -1/8)))
(+ 1/3 (* x -1/8))
1/3
(* x -1/8)
-1/8
(/ (+ 1 (* (* eps (* x (* 1/2 (* x eps)))) (* (* x eps) (* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps)))))))) (+ 1 (* (* eps (* x (* 1/2 (* x eps)))) (- (* eps (* x (* 1/2 (* x eps)))) 1))))
(+ 1 (* (* eps (* x (* 1/2 (* x eps)))) (* (* x eps) (* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps))))))))
1
(* (* eps (* x (* 1/2 (* x eps)))) (* (* x eps) (* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps)))))))
(* eps (* x (* 1/2 (* x eps))))
eps
(* x (* 1/2 (* x eps)))
x
(* 1/2 (* x eps))
1/2
(* x eps)
(* (* x eps) (* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps))))))
(* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps)))))
(+ 1 (* (* eps (* x (* 1/2 (* x eps)))) (- (* eps (* x (* 1/2 (* x eps)))) 1)))
(* (* eps (* x (* 1/2 (* x eps)))) (- (* eps (* x (* 1/2 (* x eps)))) 1))
(- (* eps (* x (* 1/2 (* x eps)))) 1)
Outputs
(+ 1 (* (* x eps) (* 1/2 (* x eps))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 eps #s(literal 1/2 binary64))))))
1
#s(literal 1 binary64)
(* (* x eps) (* 1/2 (* x eps)))
(*.f64 eps (*.f64 x (*.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(* x eps)
(*.f64 x eps)
x
eps
(* 1/2 (* x eps))
(*.f64 x (*.f64 eps #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
x
(* 1/2 (* x (* x (* eps eps))))
(*.f64 eps (*.f64 x (*.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
1/2
#s(literal 1/2 binary64)
(* x (* x (* eps eps)))
(*.f64 x (*.f64 x (*.f64 eps eps)))
x
(* x (* eps eps))
(*.f64 x (*.f64 eps eps))
(* eps eps)
(*.f64 eps eps)
eps
(+ 1 (* (* x x) (+ -1/2 (* x (+ 1/3 (* x -1/8))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))))))
1
#s(literal 1 binary64)
(* (* x x) (+ -1/2 (* x (+ 1/3 (* x -1/8)))))
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64))))))
(* x x)
(*.f64 x x)
x
(+ -1/2 (* x (+ 1/3 (* x -1/8))))
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))))
-1/2
#s(literal -1/2 binary64)
(* x (+ 1/3 (* x -1/8)))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64))))
(+ 1/3 (* x -1/8))
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))
1/3
#s(literal 1/3 binary64)
(* x -1/8)
(*.f64 x #s(literal -1/8 binary64))
-1/8
#s(literal -1/8 binary64)
(/ (+ 1 (* (* eps (* x (* 1/2 (* x eps)))) (* (* x eps) (* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps)))))))) (+ 1 (* (* eps (* x (* 1/2 (* x eps)))) (- (* eps (* x (* 1/2 (* x eps)))) 1))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))))))
(+ 1 (* (* eps (* x (* 1/2 (* x eps)))) (* (* x eps) (* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))))
1
#s(literal 1 binary64)
(* (* eps (* x (* 1/2 (* x eps)))) (* (* x eps) (* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps)))))))
(*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))))
(* eps (* x (* 1/2 (* x eps))))
(*.f64 eps (*.f64 x (*.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
eps
(* x (* 1/2 (* x eps)))
(*.f64 x (*.f64 x (*.f64 eps #s(literal 1/2 binary64))))
x
(* 1/2 (* x eps))
(*.f64 x (*.f64 eps #s(literal 1/2 binary64)))
1/2
#s(literal 1/2 binary64)
(* x eps)
(*.f64 x eps)
(* (* x eps) (* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps))))))
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (*.f64 eps eps)))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps)))))
(*.f64 (*.f64 x eps) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(+ 1 (* (* eps (* x (* 1/2 (* x eps)))) (- (* eps (* x (* 1/2 (* x eps)))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))))
(* (* eps (* x (* 1/2 (* x eps)))) (- (* eps (* x (* 1/2 (* x eps)))) 1))
(*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))))
(- (* eps (* x (* 1/2 (* x eps)))) 1)
(+.f64 (*.f64 eps (*.f64 x (*.f64 x (*.f64 eps #s(literal 1/2 binary64))))) #s(literal -1 binary64))

localize262.0ms (2%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f64 (*.f64 x eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))))))
accuracy99.8%
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))
accuracy94.7%
(*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))))
accuracy61.4%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (*.f64 (*.f64 x eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64)))))
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(*.f64 x #s(literal -1/8 binary64))
accuracy99.9%
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64))))))
accuracy99.6%
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64))))
accuracy100.0%
(*.f64 eps eps)
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
accuracy96.2%
(*.f64 x (*.f64 x (*.f64 eps eps)))
accuracy93.0%
(*.f64 x (*.f64 eps eps))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))))
accuracy100.0%
(*.f64 x eps)
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
accuracy99.7%
(*.f64 (*.f64 x eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))
Results
206.0ms256×0valid
Compiler

Compiled 355 to 33 computations (90.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-mult: 28.0ms (62.7% of total)
ival-add: 8.0ms (17.9% of total)
...c/correct-round.rkt:119:19: 5.0ms (11.2% of total)
ival-div: 2.0ms (4.5% of total)
ival-sub: 1.0ms (2.2% of total)
const: 1.0ms (2.2% of total)
backward-pass: 0.0ms (0% of total)

series30.0ms (0.2%)

Counts
21 → 420
Calls
Call 1
Inputs
#<alt (+ 1 (* (* x eps) (* 1/2 (* x eps))))>
#<alt (* (* x eps) (* 1/2 (* x eps)))>
#<alt (* x eps)>
#<alt (* 1/2 (* x eps))>
#<alt (* 1/2 (* x (* x (* eps eps))))>
#<alt (* x (* x (* eps eps)))>
#<alt (* x (* eps eps))>
#<alt (* eps eps)>
#<alt (+ 1 (* (* x x) (+ -1/2 (* x (+ 1/3 (* x -1/8))))))>
#<alt (* (* x x) (+ -1/2 (* x (+ 1/3 (* x -1/8)))))>
#<alt (* x x)>
#<alt (+ -1/2 (* x (+ 1/3 (* x -1/8))))>
#<alt (* (* eps (* x (* 1/2 (* x eps)))) (* (* x eps) (* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps)))))))>
#<alt (* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps)))))>
#<alt (* (* eps (* x (* 1/2 (* x eps)))) (- (* eps (* x (* 1/2 (* x eps)))) 1))>
#<alt (/ (+ 1 (* (* eps (* x (* 1/2 (* x eps)))) (* (* x eps) (* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps)))))))) (+ 1 (* (* eps (* x (* 1/2 (* x eps)))) (- (* eps (* x (* 1/2 (* x eps)))) 1))))>
#<alt (* x (+ 1/3 (* x -1/8)))>
#<alt (* x -1/8)>
#<alt (* eps (* x (* 1/2 (* x eps))))>
#<alt (* x (* 1/2 (* x eps)))>
#<alt (* (* x eps) (* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps))))))>
Outputs
#<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 (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 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 (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (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 2) (pow x 2))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<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>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))>
#<alt (* -1/8 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/8))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 4))) (+ 1/8 (/ 1/2 (pow x 2)))))>
#<alt (* -1/8 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/8))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/8))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 (pow x 2)) 1/2) x)) 1/3) x)) 1/8))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 x) 1/2))>
#<alt (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2))>
#<alt (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2))>
#<alt (* -1/8 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/8))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))>
#<alt (* -1/8 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/8))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/8))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/8))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt -1/2>
#<alt (- (* 1/3 x) 1/2)>
#<alt (- (* x (+ 1/3 (* -1/8 x))) 1/2)>
#<alt (- (* x (+ 1/3 (* -1/8 x))) 1/2)>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/8))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/8))>
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))>
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))>
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))>
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))>
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))>
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))>
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))>
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))>
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))>
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))>
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))>
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))>
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))>
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))>
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))>
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))>
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))>
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))>
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))>
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))>
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))>
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))>
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))>
#<alt (* 1/8 (* (pow eps 6) (pow x 6)))>
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))>
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))>
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))>
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))>
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))>
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))>
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))>
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))>
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))>
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))>
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))>
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))>
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))>
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))>
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))>
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))>
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))>
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))>
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))>
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))>
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))>
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))>
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))>
#<alt (* 1/4 (* (pow eps 3) (pow x 3)))>
#<alt (* -1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1/2 (pow x 2)) (* 1/4 (* (pow eps 2) (pow x 4)))))>
#<alt (* (pow eps 2) (+ (* -1/2 (pow x 2)) (* 1/4 (* (pow eps 2) (pow x 4)))))>
#<alt (* (pow eps 2) (+ (* -1/2 (pow x 2)) (* 1/4 (* (pow eps 2) (pow x 4)))))>
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))>
#<alt (* (pow eps 4) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/4 (pow x 4))))>
#<alt (* (pow eps 4) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/4 (pow x 4))))>
#<alt (* (pow eps 4) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/4 (pow x 4))))>
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))>
#<alt (* (pow eps 4) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/4 (pow x 4))))>
#<alt (* (pow eps 4) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/4 (pow x 4))))>
#<alt (* (pow eps 4) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/4 (pow x 4))))>
#<alt (* -1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* -1/2 (pow eps 2)) (* 1/4 (* (pow eps 4) (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1/2 (pow eps 2)) (* 1/4 (* (pow eps 4) (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1/2 (pow eps 2)) (* 1/4 (* (pow eps 4) (pow x 2)))))>
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/4 (pow eps 4))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/4 (pow eps 4))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/4 (pow eps 4))))>
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/4 (pow eps 4))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/4 (pow eps 4))))>
#<alt (* (pow x 4) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/4 (pow eps 4))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (+ 1 (* (pow eps 2) (- (* -1 (* (pow eps 2) (+ (* -1/4 (pow x 4)) (* 1/4 (pow x 4))))) (* -1/2 (pow x 2)))))>
#<alt (+ 1 (* (pow eps 2) (- (* (pow eps 2) (- (* -1/2 (* (pow eps 2) (* (pow x 2) (+ (* -1/4 (pow x 4)) (* 1/4 (pow x 4)))))) (+ (* -1/4 (pow x 4)) (* 1/4 (pow x 4))))) (* -1/2 (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 (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 (pow eps 4)) (* 1/4 (pow eps 4))))) (* -1/2 (pow eps 2)))))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/2 (* (pow eps 2) (* (pow x 2) (+ (* -1/4 (pow eps 4)) (* 1/4 (pow eps 4)))))) (+ (* -1/4 (pow eps 4)) (* 1/4 (pow eps 4))))) (* -1/2 (pow eps 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 (* 1/3 x)>
#<alt (* x (+ 1/3 (* -1/8 x)))>
#<alt (* x (+ 1/3 (* -1/8 x)))>
#<alt (* x (+ 1/3 (* -1/8 x)))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* -1/8 x)>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* eps (pow x 2)))>
#<alt (* 1/2 (* eps (pow x 2)))>
#<alt (* 1/2 (* eps (pow x 2)))>
#<alt (* 1/2 (* eps (pow x 2)))>
#<alt (* 1/2 (* eps (pow x 2)))>
#<alt (* 1/2 (* eps (pow x 2)))>
#<alt (* 1/2 (* eps (pow x 2)))>
#<alt (* 1/2 (* eps (pow x 2)))>
#<alt (* 1/2 (* eps (pow x 2)))>
#<alt (* 1/2 (* eps (pow x 2)))>
#<alt (* 1/2 (* eps (pow x 2)))>
#<alt (* 1/2 (* eps (pow x 2)))>
#<alt (* 1/2 (* eps (pow x 2)))>
#<alt (* 1/2 (* eps (pow x 2)))>
#<alt (* 1/2 (* eps (pow x 2)))>
#<alt (* 1/2 (* eps (pow x 2)))>
#<alt (* 1/2 (* eps (pow x 2)))>
#<alt (* 1/2 (* eps (pow x 2)))>
#<alt (* 1/2 (* eps (pow x 2)))>
#<alt (* 1/2 (* eps (pow x 2)))>
#<alt (* 1/2 (* eps (pow x 2)))>
#<alt (* 1/2 (* eps (pow x 2)))>
#<alt (* 1/2 (* eps (pow x 2)))>
#<alt (* 1/2 (* eps (pow x 2)))>
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))>
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))>
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))>
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))>
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))>
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))>
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))>
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))>
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))>
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))>
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))>
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))>
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))>
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))>
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))>
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))>
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))>
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))>
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))>
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))>
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))>
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))>
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))>
#<alt (* 1/4 (* (pow eps 4) (pow x 4)))>
Calls

105 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(+ 1 (* (* x x) (+ -1/2 (* x (+ 1/3 (* x -1/8))))))
2.0ms
eps
@0
(/ (+ 1 (* (* eps (* x (* 1/2 (* x eps)))) (* (* x eps) (* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps)))))))) (+ 1 (* (* eps (* x (* 1/2 (* x eps)))) (- (* eps (* x (* 1/2 (* x eps)))) 1))))
1.0ms
eps
@0
(* (* eps (* x (* 1/2 (* x eps)))) (* (* x eps) (* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps)))))))
1.0ms
x
@0
(* (* eps (* x (* 1/2 (* x eps)))) (* (* x eps) (* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps)))))))
1.0ms
x
@0
(* (* x eps) (* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps))))))

rewrite500.0ms (3.9%)

Algorithm
batch-egg-rewrite
Rules
3982×*-lowering-*.f32
3982×*-lowering-*.f64
3266×/-lowering-/.f32
3266×/-lowering-/.f64
1700×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032205
1198150
21731135
08279135
Stop Event
iter limit
node limit
Counts
21 → 773
Calls
Call 1
Inputs
(+ 1 (* (* x eps) (* 1/2 (* x eps))))
(* (* x eps) (* 1/2 (* x eps)))
(* x eps)
(* 1/2 (* x eps))
(* 1/2 (* x (* x (* eps eps))))
(* x (* x (* eps eps)))
(* x (* eps eps))
(* eps eps)
(+ 1 (* (* x x) (+ -1/2 (* x (+ 1/3 (* x -1/8))))))
(* (* x x) (+ -1/2 (* x (+ 1/3 (* x -1/8)))))
(* x x)
(+ -1/2 (* x (+ 1/3 (* x -1/8))))
(* (* eps (* x (* 1/2 (* x eps)))) (* (* x eps) (* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps)))))))
(* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps)))))
(* (* eps (* x (* 1/2 (* x eps)))) (- (* eps (* x (* 1/2 (* x eps)))) 1))
(/ (+ 1 (* (* eps (* x (* 1/2 (* x eps)))) (* (* x eps) (* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps)))))))) (+ 1 (* (* eps (* x (* 1/2 (* x eps)))) (- (* eps (* x (* 1/2 (* x eps)))) 1))))
(* x (+ 1/3 (* x -1/8)))
(* x -1/8)
(* eps (* x (* 1/2 (* x eps))))
(* x (* 1/2 (* x eps)))
(* (* x eps) (* (* 1/2 (* x eps)) (* eps (* x (* 1/2 (* x eps))))))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))) #s(literal -1 binary64)))
(-.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))))) (/.f64 (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))))) (+.f64 (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))))) (+.f64 (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)))))))
(-.f64 (/.f64 (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))) (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 (*.f64 x eps) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))
(fma.f64 x (*.f64 (*.f64 (*.f64 x eps) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 eps (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 eps (*.f64 (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x eps) (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
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simplify201.0ms (1.6%)

Algorithm
egg-herbie
Rules
3908×*-lowering-*.f32
3908×*-lowering-*.f64
1976×fnmadd-define
1204×associate-*r*
1006×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01373354
14202874
214622706
360472706
080152706
Stop Event
iter limit
node limit
Counts
420 → 420
Calls
Call 1
Inputs
1
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(* (pow eps 4) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/4 (pow x 4))))
(* (pow eps 4) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/4 (pow x 4))))
(* -1/2 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* -1/2 (pow eps 2)) (* 1/4 (* (pow eps 4) (pow x 2)))))
(* (pow x 2) (+ (* -1/2 (pow eps 2)) (* 1/4 (* (pow eps 4) (pow x 2)))))
(* (pow x 2) (+ (* -1/2 (pow eps 2)) (* 1/4 (* (pow eps 4) (pow x 2)))))
(* 1/4 (* (pow eps 4) (pow x 4)))
(* (pow x 4) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/4 (pow eps 4))))
(* (pow x 4) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/4 (pow eps 4))))
(* (pow x 4) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/4 (pow eps 4))))
(* 1/4 (* (pow eps 4) (pow x 4)))
(* (pow x 4) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/4 (pow eps 4))))
(* (pow x 4) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/4 (pow eps 4))))
(* (pow x 4) (+ (* -1/2 (/ (pow eps 2) (pow x 2))) (* 1/4 (pow eps 4))))
1
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+ 1 (* (pow eps 2) (- (* -1 (* (pow eps 2) (+ (* -1/4 (pow x 4)) (* 1/4 (pow x 4))))) (* -1/2 (pow x 2)))))
(+ 1 (* (pow eps 2) (- (* (pow eps 2) (- (* -1/2 (* (pow eps 2) (* (pow x 2) (+ (* -1/4 (pow x 4)) (* 1/4 (pow x 4)))))) (+ (* -1/4 (pow x 4)) (* 1/4 (pow x 4))))) (* -1/2 (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 (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/4 (pow eps 4)) (* 1/4 (pow eps 4))))) (* -1/2 (pow eps 2)))))
(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1/2 (* (pow eps 2) (* (pow x 2) (+ (* -1/4 (pow eps 4)) (* 1/4 (pow eps 4)))))) (+ (* -1/4 (pow eps 4)) (* 1/4 (pow eps 4))))) (* -1/2 (pow eps 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))))
(* 1/3 x)
(* x (+ 1/3 (* -1/8 x)))
(* x (+ 1/3 (* -1/8 x)))
(* x (+ 1/3 (* -1/8 x)))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* -1/8 x)
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* eps (pow x 2)))
(* 1/2 (* eps (pow x 2)))
(* 1/2 (* eps (pow x 2)))
(* 1/2 (* eps (pow x 2)))
(* 1/2 (* eps (pow x 2)))
(* 1/2 (* eps (pow x 2)))
(* 1/2 (* eps (pow x 2)))
(* 1/2 (* eps (pow x 2)))
(* 1/2 (* eps (pow x 2)))
(* 1/2 (* eps (pow x 2)))
(* 1/2 (* eps (pow x 2)))
(* 1/2 (* eps (pow x 2)))
(* 1/2 (* eps (pow x 2)))
(* 1/2 (* eps (pow x 2)))
(* 1/2 (* eps (pow x 2)))
(* 1/2 (* eps (pow x 2)))
(* 1/2 (* eps (pow x 2)))
(* 1/2 (* eps (pow x 2)))
(* 1/2 (* eps (pow x 2)))
(* 1/2 (* eps (pow x 2)))
(* 1/2 (* eps (pow x 2)))
(* 1/2 (* eps (pow x 2)))
(* 1/2 (* eps (pow x 2)))
(* 1/2 (* eps (pow x 2)))
(* 1/4 (* (pow eps 4) (pow x 4)))
(* 1/4 (* (pow eps 4) (pow x 4)))
(* 1/4 (* (pow eps 4) (pow x 4)))
(* 1/4 (* (pow eps 4) (pow x 4)))
(* 1/4 (* (pow eps 4) (pow x 4)))
(* 1/4 (* (pow eps 4) (pow x 4)))
(* 1/4 (* (pow eps 4) (pow x 4)))
(* 1/4 (* (pow eps 4) (pow x 4)))
(* 1/4 (* (pow eps 4) (pow x 4)))
(* 1/4 (* (pow eps 4) (pow x 4)))
(* 1/4 (* (pow eps 4) (pow x 4)))
(* 1/4 (* (pow eps 4) (pow x 4)))
(* 1/4 (* (pow eps 4) (pow x 4)))
(* 1/4 (* (pow eps 4) (pow x 4)))
(* 1/4 (* (pow eps 4) (pow x 4)))
(* 1/4 (* (pow eps 4) (pow x 4)))
(* 1/4 (* (pow eps 4) (pow x 4)))
(* 1/4 (* (pow eps 4) (pow x 4)))
(* 1/4 (* (pow eps 4) (pow x 4)))
(* 1/4 (* (pow eps 4) (pow x 4)))
(* 1/4 (* (pow eps 4) (pow x 4)))
(* 1/4 (* (pow eps 4) (pow x 4)))
(* 1/4 (* (pow eps 4) (pow x 4)))
(* 1/4 (* (pow eps 4) (pow x 4)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x)))))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x)))))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x)))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x)))))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x)))))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x)))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x)))))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x)))))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x)))))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x)))))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x)))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x)))))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x)))))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x)))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x)))))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x)))))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x)))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* eps x)
(*.f64 eps x)
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))
(* (pow eps 2) (pow x 2))
(*.f64 eps (*.f64 eps (*.f64 x x)))
(* (pow eps 2) (pow x 2))
(*.f64 eps (*.f64 eps (*.f64 x x)))
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(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64))))))
(* 1/4 (* (pow eps 4) (pow x 4)))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64))))))
(* 1/4 (* (pow eps 4) (pow x 4)))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64))))))
(* 1/4 (* (pow eps 4) (pow x 4)))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64))))))
(* 1/4 (* (pow eps 4) (pow x 4)))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64))))))
(* 1/4 (* (pow eps 4) (pow x 4)))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64))))))
(* 1/4 (* (pow eps 4) (pow x 4)))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64))))))
(* 1/4 (* (pow eps 4) (pow x 4)))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64))))))
(* 1/4 (* (pow eps 4) (pow x 4)))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64))))))
(* 1/4 (* (pow eps 4) (pow x 4)))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64))))))
(* 1/4 (* (pow eps 4) (pow x 4)))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64))))))
(* 1/4 (* (pow eps 4) (pow x 4)))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64))))))
(* 1/4 (* (pow eps 4) (pow x 4)))
(*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 #s(literal 1/4 binary64) (pow.f64 eps #s(literal 4 binary64))))))

eval281.0ms (2.2%)

Compiler

Compiled 84482 to 2869 computations (96.6% saved)

prune155.0ms (1.2%)

Pruning

31 alts after pruning (25 fresh and 6 done)

PrunedKeptTotal
New1758101768
Fresh61521
Picked145
Done022
Total1765311796
Accuracy
100.0%
Counts
1796 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.8%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))
57.2%
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
38.4%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64)))))
45.2%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (*.f64 (*.f64 x eps) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64))) eps)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64)))))
37.6%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)))))
2.7%
(/.f64 (*.f64 #s(literal 1/2 binary64) x) eps)
15.4%
(/.f64 x (exp.f64 x))
31.8%
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
35.5%
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x #s(literal -1/6 binary64)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
54.8%
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
37.0%
(+.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))) #s(literal 1 binary64))
44.6%
(+.f64 x #s(literal 1 binary64))
32.9%
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
44.0%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))))))
53.5%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))
43.9%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
76.6%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))))
51.3%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))
68.5%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
37.2%
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
37.2%
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))) #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))))))))
35.8%
(*.f64 (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))) eps)
35.8%
(*.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x eps))
9.9%
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
35.6%
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
65.5%
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 x (*.f64 eps (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) x))))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
65.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps))))))))))
86.7%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
44.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
3.0%
x
44.8%
#s(literal 1 binary64)
Compiler

Compiled 2108 to 658 computations (68.8% saved)

regimes86.0ms (0.7%)

Counts
54 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) eps)
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x eps))
(*.f64 (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))) eps)
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(+.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))))) #s(literal 1 binary64)) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) eps)))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x #s(literal -1/6 binary64)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (*.f64 (*.f64 x eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (*.f64 (*.f64 x eps) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64))) eps)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))) #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(/.f64 x (exp.f64 x))
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 x (*.f64 eps (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) x))))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps))))))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x #s(literal -1/6 binary64))))))))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal 1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 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 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(/.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 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Calls

4 calls:

34.0ms
x
16.0ms
eps
14.0ms
(-.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)))))
12.0ms
(/.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
98.9%1x
98.9%1eps
98.9%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))
98.9%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)

regimes42.0ms (0.3%)

Counts
51 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) eps)
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x eps))
(*.f64 (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))) eps)
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(+.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))))) #s(literal 1 binary64)) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) eps)))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x #s(literal -1/6 binary64)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (*.f64 (*.f64 x eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (*.f64 (*.f64 x eps) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64))) eps)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))) #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(/.f64 x (exp.f64 x))
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 x (*.f64 eps (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) x))))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps))))))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x #s(literal -1/6 binary64))))))))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal 1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 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 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Calls

2 calls:

17.0ms
x
14.0ms
eps
Results
AccuracySegmentsBranch
91.0%2x
100.0%2eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes22.0ms (0.2%)

Counts
50 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) eps)
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x eps))
(*.f64 (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))) eps)
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(+.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))))) #s(literal 1 binary64)) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) eps)))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x #s(literal -1/6 binary64)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (*.f64 (*.f64 x eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (*.f64 (*.f64 x eps) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64))) eps)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))) #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(/.f64 x (exp.f64 x))
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 x (*.f64 eps (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps #s(literal 1/6 binary64)) x))))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps))))))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x #s(literal -1/6 binary64))))))))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal 1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
Outputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x)))))
Calls

1 calls:

14.0ms
eps
Results
AccuracySegmentsBranch
92.7%2eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes19.0ms (0.1%)

Counts
39 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) eps)
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x eps))
(*.f64 (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))) eps)
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(+.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))))) #s(literal 1 binary64)) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) eps)))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x #s(literal -1/6 binary64)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (*.f64 (*.f64 x eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (*.f64 (*.f64 x eps) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64))) eps)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))) #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(/.f64 x (exp.f64 x))
Outputs
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x)))))
Calls

1 calls:

12.0ms
eps
Results
AccuracySegmentsBranch
92.0%2eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes24.0ms (0.2%)

Counts
37 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) eps)
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x eps))
(*.f64 (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))) eps)
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(+.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))))) #s(literal 1 binary64)) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal 1 binary64) eps)))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x #s(literal -1/6 binary64)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (*.f64 (*.f64 x eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (*.f64 (*.f64 x eps) (*.f64 (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/2 binary64))) eps)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64))) #s(literal -1 binary64))) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))))))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (*.f64 x x))) #s(literal 1/8 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))))) (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
Calls

2 calls:

12.0ms
eps
10.0ms
x
Results
AccuracySegmentsBranch
85.3%3x
79.5%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
20 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) eps)
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x eps))
(*.f64 (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))) eps)
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
83.7%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts
14 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) eps)
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 (*.f64 x (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x eps))
(*.f64 (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))) eps)
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
Calls

2 calls:

4.0ms
x
4.0ms
eps
Results
AccuracySegmentsBranch
71.3%2eps
76.9%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts
10 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) eps)
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))
Calls

2 calls:

4.0ms
x
3.0ms
eps
Results
AccuracySegmentsBranch
51.3%1eps
51.3%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

Counts
7 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) eps)
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Outputs
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(+.f64 x #s(literal 1 binary64))
Calls

2 calls:

3.0ms
eps
3.0ms
x
Results
AccuracySegmentsBranch
52.0%2x
48.2%2eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Accuracy

Total -27.0b remaining (-76.5%)

Threshold costs -27b (-76.5%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
Outputs
#s(literal 1 binary64)
Calls

2 calls:

3.0ms
eps
2.0ms
x
Results
AccuracySegmentsBranch
44.8%1eps
44.8%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch30.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
26.0ms
4.005700144269364e-10
1.9063234016675085e-7
Results
19.0ms128×0valid
2.0ms19×0unsamplable
Compiler

Compiled 236 to 175 computations (25.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 4.0ms (31% of total)
ival-sub: 2.0ms (15.5% of total)
ival-div: 2.0ms (15.5% of total)
ival-exp: 2.0ms (15.5% of total)
ival-add: 1.0ms (7.7% of total)
ival-neg: 1.0ms (7.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch29.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
25.0ms
4.005700144269364e-10
1.9063234016675085e-7
Results
16.0ms128×0valid
2.0ms18×0unsamplable
Compiler

Compiled 220 to 159 computations (27.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 4.0ms (30.9% of total)
ival-sub: 2.0ms (15.4% of total)
ival-div: 2.0ms (15.4% of total)
ival-exp: 2.0ms (15.4% of total)
ival-add: 1.0ms (7.7% of total)
ival-neg: 1.0ms (7.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch26.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
6.930339114353888e+31
1.4241956855901795e+34
Results
16.0ms112×0valid
Compiler

Compiled 183 to 135 computations (26.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 3.0ms (29.4% of total)
ival-sub: 2.0ms (19.6% of total)
ival-div: 2.0ms (19.6% of total)
ival-add: 1.0ms (9.8% of total)
ival-exp: 1.0ms (9.8% of total)
ival-neg: 1.0ms (9.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch70.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
Steps
TimeLeftRight
31.0ms
4.0301929199827497e-16
4.5823186478970475e-14
32.0ms
-9.744464366156154e-150
-1.451871896996279e-161
Results
25.0ms31×2valid
16.0ms50×1valid
14.0ms111×0valid
Compiler

Compiled 368 to 259 computations (29.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-div: 12.0ms (27.9% of total)
ival-exp: 9.0ms (20.9% of total)
ival-mult: 8.0ms (18.6% of total)
ival-sub: 5.0ms (11.6% of total)
ival-neg: 3.0ms (7% of total)
backward-pass: 3.0ms (7% of total)
ival-add: 3.0ms (7% of total)
const: 1.0ms (2.3% of total)

bsearch37.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
31.0ms
4.0301929199827497e-16
4.5823186478970475e-14
Results
11.0ms29×1valid
9.0ms69×0valid
8.0ms14×2valid
Compiler

Compiled 218 to 149 computations (31.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-exp: 5.0ms (23.7% of total)
ival-mult: 4.0ms (19% of total)
ival-div: 3.0ms (14.2% of total)
ival-sub: 3.0ms (14.2% of total)
ival-neg: 3.0ms (14.2% of total)
backward-pass: 2.0ms (9.5% of total)
ival-add: 2.0ms (9.5% of total)
const: 0.0ms (0% of total)

bsearch95.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
55.0ms
4.0301929199827497e-16
4.5823186478970475e-14
31.0ms
-1.3761726879962377e-33
-1.298215043868698e-35
Results
40.0ms128×0valid
22.0ms41×2valid
17.0ms55×1valid
Compiler

Compiled 344 to 247 computations (28.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-add: 26.0ms (40.4% of total)
ival-mult: 9.0ms (14% of total)
ival-exp: 9.0ms (14% of total)
ival-sub: 7.0ms (10.9% of total)
ival-div: 6.0ms (9.3% of total)
backward-pass: 4.0ms (6.2% of total)
ival-neg: 3.0ms (4.7% of total)
const: 1.0ms (1.6% of total)

bsearch27.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
24.0ms
-0.005192972036943846
-0.0019594282587691823
Results
8.0ms20×1valid
7.0ms12×2valid
6.0ms48×0valid
Compiler

Compiled 106 to 78 computations (26.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 5.0ms (30.3% of total)
ival-exp: 3.0ms (18.2% of total)
ival-div: 2.0ms (12.1% of total)
ival-sub: 2.0ms (12.1% of total)
ival-neg: 1.0ms (6.1% of total)
backward-pass: 1.0ms (6.1% of total)
ival-add: 1.0ms (6.1% of total)
const: 0.0ms (0% of total)

simplify11.0ms (0.1%)

Algorithm
egg-herbie
Rules
42×*-commutative_binary64
24×+-commutative_binary64
sub-neg_binary64
neg-mul-1_binary64
sub0-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066187
1104187
2109187
3112187
4113187
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(if (<=.f64 eps #s(literal 7177997053961861/37778931862957161709568 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 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 eps #s(literal 7177997053961861/37778931862957161709568 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))))))
(if (<=.f64 eps #s(literal 70000000000000001954873692127232 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))))))
(if (<=.f64 x #s(literal -1582914569427869/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))) (if (<=.f64 x #s(literal 3565267313141895/79228162514264337593543950336 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))
(if (<=.f64 x #s(literal 3565267313141895/79228162514264337593543950336 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))
(if (<=.f64 x #s(literal -3507603929594167/2923003274661805836407369665432566039311865085952 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) (if (<=.f64 x #s(literal 2139160387885137/158456325028528675187087900672 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(if (<=.f64 x #s(literal -734987459186865/144115188075855872 binary64)) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (+.f64 x #s(literal 1 binary64)))
#s(literal 1 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(if (<=.f64 eps #s(literal 7177997053961861/37778931862957161709568 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 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 eps #s(literal 7177997053961861/37778931862957161709568 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))))
(if (<=.f64 eps #s(literal 7177997053961861/37778931862957161709568 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))))))
(if (<=.f64 eps #s(literal 70000000000000001954873692127232 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))))))
(if (<=.f64 x #s(literal -1582914569427869/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))) (if (<=.f64 x #s(literal 3565267313141895/79228162514264337593543950336 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))
(if (<=.f64 x #s(literal 3565267313141895/79228162514264337593543950336 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))
(if (<=.f64 x #s(literal -3507603929594167/2923003274661805836407369665432566039311865085952 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) (if (<=.f64 x #s(literal 2139160387885137/158456325028528675187087900672 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(if (<=.f64 x #s(literal -734987459186865/144115188075855872 binary64)) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (+.f64 x #s(literal 1 binary64)))
#s(literal 1 binary64)

soundness2.0s (15.3%)

Rules
4232×+-lowering-+.f64
4232×+-lowering-+.f32
3658×*-lowering-*.f32
3658×*-lowering-*.f64
3544×*-lowering-*.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02561879
18431674
231531544
089831544
01926
15826
216323
354323
4147922
5545022
0824822
03155973
111595158
245104939
084264939
050374
1382332
24695317
08019317
04105618
114414895
256074658
084974658
037339
1287334
23396318
08086318
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 565 to 328 computations (41.9% saved)

preprocess76.0ms (0.6%)

Compiler

Compiled 508 to 206 computations (59.4% saved)

end0.0ms (0%)

Profiling

Loading profile data...