NMSE Section 6.1 mentioned, A

Time bar (total: 17.1s)

analyze41.0ms (0.2%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
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: 7.0ms (30.5% of total)
ival-sub: 4.0ms (17.4% of total)
ival-div: 3.0ms (13.1% of total)
ival-add: 3.0ms (13.1% of total)
ival-exp: 3.0ms (13.1% of total)
ival-neg: 3.0ms (13.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample2.6s (14.9%)

Results
846.0ms5916×0valid
615.0ms926×2valid
463.0ms1414×1valid
159.0ms1026×0unsamplable
Precisions
Click to see histograms. Total time spent on operations: 1.6s
ival-mult: 452.0ms (27.4% of total)
ival-exp: 330.0ms (20% of total)
ival-div: 252.0ms (15.3% of total)
ival-sub: 218.0ms (13.2% of total)
ival-add: 170.0ms (10.3% of total)
ival-neg: 132.0ms (8% of total)
backward-pass: 75.0ms (4.5% of total)
const: 21.0ms (1.3% of total)
Bogosity

preprocess283.0ms (1.7%)

Algorithm
2×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
1×iter limit
1×node limit
1×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)

explain321.0ms (1.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
722(9.293291135834756e-183 1.3663295400979762e-12)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
82.0ms56×2valid
68.0ms366×0valid
41.0ms90×1valid
Compiler

Compiled 319 to 59 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-mult: 20.0ms (21.8% of total)
ival-exp: 20.0ms (21.8% of total)
ival-div: 16.0ms (17.4% of total)
ival-sub: 11.0ms (12% of total)
ival-add: 9.0ms (9.8% of total)
backward-pass: 7.0ms (7.6% of total)
ival-neg: 7.0ms (7.6% of total)
const: 1.0ms (1.1% 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
▶72.7%
(-.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)

simplify144.0ms (0.8%)

Algorithm
1×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
1×iter limit
1×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)

localize95.0ms (0.6%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
✓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 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))
✓accuracy72.7%
(-.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
30.0ms183×0valid
21.0ms29×2valid
20.0ms44×1valid
Compiler

Compiled 101 to 19 computations (81.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-exp: 11.0ms (24% of total)
ival-mult: 10.0ms (21.8% of total)
ival-div: 7.0ms (15.3% of total)
ival-sub: 7.0ms (15.3% of total)
ival-add: 6.0ms (13.1% of total)
backward-pass: 4.0ms (8.7% of total)
const: 1.0ms (2.2% of total)

series24.0ms (0.1%)

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 (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))>
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 (- (* 1/2 (/ 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)))>
Calls

30 calls:

TimeVariablePointExpression
12.0ms
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)))

rewrite346.0ms (2%)

Algorithm
1×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
01859
112859
2110359
0845059
Stop Event
1×iter limit
1×node limit
Counts
5 → 238
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))
(* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))
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))))
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(*.f64 (+.f64 (/.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (/.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -1/8 binary64))) (*.f64 #s(literal -1/8 binary64) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 eps #s(literal 1/2 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 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 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 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) eps)))))
(*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1/8 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) eps)))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps)) #s(literal -1/4 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (/.f64 #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 1/8 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 eps (*.f64 eps eps))))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.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 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps)))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps)) #s(literal -1/4 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps)) #s(literal -1/4 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 eps (*.f64 eps eps))))) (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps)) #s(literal -1/4 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps)))) (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))

simplify270.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
3570×+-lowering-+.f64
3570×+-lowering-+.f32
3156×*-lowering-*.f32
3156×*-lowering-*.f64
1904×sum5-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02872189
19622025
236991787
086091787
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
Calls
Call 1
Inputs
1
(+ 1 (* x (- (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))
(+ 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))))))
(+ 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))))))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(- (+ (* 1/2 (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))) (+ (* 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))))))
(- (+ (* 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))))))
(- (+ (* 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))))))
(- (* 1/2 (exp (* x (- eps 1)))) (* -1/2 (exp (* -1 (* x (+ 1 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))))
(- (+ (* 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))))
(- (+ (* 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))))
(- (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))
(- (+ (* -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)))))
(- (+ (* -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)))))
(- (+ (* -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)))))
(+ 1/2 (* 1/2 (/ 1 eps)))
(+ 1/2 (+ (* 1/2 (/ 1 eps)) (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))))
(+ 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))))))
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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))))
(* (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)))
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(+ 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))))
(- (* 1/2 (/ 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)))
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 #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 (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))))))))
(+ 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))))))
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1
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(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))
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(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))
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(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))
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(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))
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(* 1/2 (/ (exp (* -1 x)) eps))
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1/2 binary64) eps))
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(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.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)
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(/ (+ (* 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)
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(* -1/2 (exp (* -1 (* x (+ 1 eps)))))
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(* -1/2 (exp (* x (- (* -1 eps) 1))))
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eval51.0ms (0.3%)

Compiler

Compiled 20213 to 1138 computations (94.4% saved)

prune57.0ms (0.3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New34414358
Fresh000
Picked101
Done000
Total34514359
Accuracy
100.0%
Counts
359 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.8%
(/.f64 (-.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))))) (*.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 (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 (*.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 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))
5.4%
(/.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 (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 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))
16.0%
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▶36.1%
(-.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))))
▶37.3%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 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))))
37.9%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.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))))
51.3%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) (+.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))))
41.0%
(-.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 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
▶39.4%
(+.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 eps #s(literal -1 binary64))) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))))))))
71.3%
(+.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 (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))))))))
43.3%
(+.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))))))
56.6%
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
▶98.3%
(*.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)))))
▶43.4%
#s(literal 1 binary64)
Compiler

Compiled 1404 to 588 computations (58.1% saved)

simplify654.0ms (3.8%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64)))))))
✓cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))
✓cost-diff0
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 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))))
✓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-diff512
(+.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 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))))))
✓cost-diff512
(+.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 eps #s(literal -1 binary64))) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))))))
✓cost-diff512
(*.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 eps #s(literal -1 binary64))) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))))))))
✓cost-diff512
(+.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 eps #s(literal -1 binary64))) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))))))))
✓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
4214×*-lowering-*.f32
4214×*-lowering-*.f64
3982×+-lowering-+.f64
3982×+-lowering-+.f32
1836×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0531058
12171048
21091971
09008971
Stop Event
1×iter limit
1×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 eps) (+ (/ 1/2 eps) -1/2)) (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))) (* x (* (+ (/ 1/2 eps) -1/2) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (- -1 eps)))))) (* (+ (/ 1/2 eps) -1/2) (* (* 1/2 (+ 1 eps)) (- -1 eps)))))))))
1
(* x (+ (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)) (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))) (* x (* (+ (/ 1/2 eps) -1/2) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (- -1 eps)))))) (* (+ (/ 1/2 eps) -1/2) (* (* 1/2 (+ 1 eps)) (- -1 eps))))))))
x
(+ (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)) (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))) (* x (* (+ (/ 1/2 eps) -1/2) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (- -1 eps)))))) (* (+ (/ 1/2 eps) -1/2) (* (* 1/2 (+ 1 eps)) (- -1 eps)))))))
(* (+ 1 eps) (+ (/ 1/2 eps) -1/2))
(+ 1 eps)
eps
(+ (/ 1/2 eps) -1/2)
(/ 1/2 eps)
1/2
-1/2
(+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))) (* x (* (+ (/ 1/2 eps) -1/2) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (- -1 eps)))))) (* (+ (/ 1/2 eps) -1/2) (* (* 1/2 (+ 1 eps)) (- -1 eps))))))
(* (+ 1/2 (/ 1/2 eps)) (+ eps -1))
(+ 1/2 (/ 1/2 eps))
(+ eps -1)
-1
(* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))) (* x (* (+ (/ 1/2 eps) -1/2) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (- -1 eps)))))) (* (+ (/ 1/2 eps) -1/2) (* (* 1/2 (+ 1 eps)) (- -1 eps)))))
(+ (+ (* (+ 1/2 (/ 1/2 eps)) (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))) (* x (* (+ (/ 1/2 eps) -1/2) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (- -1 eps)))))) (* (+ (/ 1/2 eps) -1/2) (* (* 1/2 (+ 1 eps)) (- -1 eps))))
(+ (* (+ 1/2 (/ 1/2 eps)) (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))) (* x (* (+ (/ 1/2 eps) -1/2) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (- -1 eps))))))
(* (+ 1/2 (/ 1/2 eps)) (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2)))
(* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))
(* (+ eps -1) (+ eps -1))
(+ (* (* x 1/6) (+ eps -1)) 1/2)
(* (* x 1/6) (+ eps -1))
(* x 1/6)
1/6
(* x (* (+ (/ 1/2 eps) -1/2) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (- -1 eps)))))
(* (+ (/ 1/2 eps) -1/2) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (- -1 eps))))
(* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (- -1 eps)))
(* -1/6 (+ 1 eps))
-1/6
(* (+ 1 eps) (- -1 eps))
(- -1 eps)
(* (+ (/ 1/2 eps) -1/2) (* (* 1/2 (+ 1 eps)) (- -1 eps)))
(* (* 1/2 (+ 1 eps)) (- -1 eps))
(* 1/2 (+ 1 eps))
(- (+ 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
(- (* (+ 1 (* x (+ (+ eps -1) (* x (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2)))))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(* (+ 1 (* x (+ (+ eps -1) (* x (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2)))))) (- 1/2 (/ -1/2 eps)))
(+ 1 (* x (+ (+ eps -1) (* x (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))))))
1
(* x (+ (+ eps -1) (* x (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2)))))
x
(+ (+ eps -1) (* x (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))))
(+ eps -1)
eps
-1
(* x (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2)))
(* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))
(* (+ eps -1) (+ eps -1))
(+ (* (* x 1/6) (+ eps -1)) 1/2)
(* (* x 1/6) (+ eps -1))
(* x 1/6)
1/6
1/2
(- 1/2 (/ -1/2 eps))
(/ -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
(* 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 eps) (+ (/ 1/2 eps) -1/2)) (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))) (* x (* (+ (/ 1/2 eps) -1/2) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (- -1 eps)))))) (* (+ (/ 1/2 eps) -1/2) (* (* 1/2 (+ 1 eps)) (- -1 eps)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.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 x (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 eps #s(literal 1 binary64))) (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal -1/6 binary64)))) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) #s(literal 1/2 binary64)))))) (+.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
#s(literal 1 binary64)
(* x (+ (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)) (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))) (* x (* (+ (/ 1/2 eps) -1/2) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (- -1 eps)))))) (* (+ (/ 1/2 eps) -1/2) (* (* 1/2 (+ 1 eps)) (- -1 eps))))))))
(*.f64 x (+.f64 (*.f64 x (+.f64 (*.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 x (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 eps #s(literal 1 binary64))) (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal -1/6 binary64)))) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) #s(literal 1/2 binary64)))))) (+.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))))))
x
(+ (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)) (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))) (* x (* (+ (/ 1/2 eps) -1/2) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (- -1 eps)))))) (* (+ (/ 1/2 eps) -1/2) (* (* 1/2 (+ 1 eps)) (- -1 eps)))))))
(+.f64 (*.f64 x (+.f64 (*.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 x (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 eps #s(literal 1 binary64))) (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal -1/6 binary64)))) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) #s(literal 1/2 binary64)))))) (+.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 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))
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)
1/2
#s(literal 1/2 binary64)
-1/2
#s(literal -1/2 binary64)
(+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))) (* x (* (+ (/ 1/2 eps) -1/2) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (- -1 eps)))))) (* (+ (/ 1/2 eps) -1/2) (* (* 1/2 (+ 1 eps)) (- -1 eps))))))
(+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (+.f64 (*.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 x (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 eps #s(literal 1 binary64))) (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal -1/6 binary64)))) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) #s(literal 1/2 binary64)))))))
(* (+ 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))
(+ eps -1)
(+.f64 eps #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))) (* x (* (+ (/ 1/2 eps) -1/2) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (- -1 eps)))))) (* (+ (/ 1/2 eps) -1/2) (* (* 1/2 (+ 1 eps)) (- -1 eps)))))
(*.f64 x (+.f64 (*.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 x (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 eps #s(literal 1 binary64))) (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal -1/6 binary64)))) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) #s(literal 1/2 binary64))))))
(+ (+ (* (+ 1/2 (/ 1/2 eps)) (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))) (* x (* (+ (/ 1/2 eps) -1/2) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (- -1 eps)))))) (* (+ (/ 1/2 eps) -1/2) (* (* 1/2 (+ 1 eps)) (- -1 eps))))
(+.f64 (*.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 x (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 eps #s(literal 1 binary64))) (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal -1/6 binary64)))) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) #s(literal 1/2 binary64)))))
(+ (* (+ 1/2 (/ 1/2 eps)) (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))) (* x (* (+ (/ 1/2 eps) -1/2) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (- -1 eps))))))
(+.f64 (*.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 x (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal -1/6 binary64)))) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(* (+ 1/2 (/ 1/2 eps)) (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 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 x (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))))))
(* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))))))
(* (+ eps -1) (+ eps -1))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))
(+ (* (* x 1/6) (+ eps -1)) 1/2)
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))))
(* (* x 1/6) (+ eps -1))
(*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(* x (* (+ (/ 1/2 eps) -1/2) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (- -1 eps)))))
(*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal -1/6 binary64)))) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(* (+ (/ 1/2 eps) -1/2) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (- -1 eps))))
(*.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal -1/6 binary64))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (-.f64 #s(literal -1 binary64) eps)))
(* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (- -1 eps)))
(*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal -1/6 binary64)))))
(* -1/6 (+ 1 eps))
(+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal -1/6 binary64)))
-1/6
#s(literal -1/6 binary64)
(* (+ 1 eps) (- -1 eps))
(*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 eps #s(literal 1 binary64)))
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
(* (+ (/ 1/2 eps) -1/2) (* (* 1/2 (+ 1 eps)) (- -1 eps)))
(*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) #s(literal 1/2 binary64))))
(* (* 1/2 (+ 1 eps)) (- -1 eps))
(*.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 eps #s(literal 1 binary64))))
(* 1/2 (+ 1 eps))
(*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal 1 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)
(- (* (+ 1 (* x (+ (+ eps -1) (* x (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2)))))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))))))))))) (*.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 (* x (+ (+ eps -1) (* x (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2)))))) (- 1/2 (/ -1/2 eps)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))))))))
(+ 1 (* x (+ (+ eps -1) (* x (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))))))))))
1
#s(literal 1 binary64)
(* x (+ (+ eps -1) (* x (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2)))))
(*.f64 x (+.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))))))
x
(+ (+ eps -1) (* x (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))))
(+.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))))))))
(+ eps -1)
(+.f64 eps #s(literal -1 binary64))
eps
-1
#s(literal -1 binary64)
(* x (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2)))
(*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))))))
(* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))))))
(* (+ eps -1) (+ eps -1))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))
(+ (* (* x 1/6) (+ eps -1)) 1/2)
(+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))))
(* (* x 1/6) (+ eps -1))
(*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
1/2
#s(literal 1/2 binary64)
(- 1/2 (/ -1/2 eps))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
(/ -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)

localize764.0ms (4.5%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(*.f64 x #s(literal 1/6 binary64))
✓accuracy96.6%
(*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64))))))
✓accuracy93.3%
(*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64))))
✓accuracy61.7%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 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))))
✓accuracy100.0%
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
✓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)))
✓accuracy74.7%
(-.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))))
✓accuracy91.9%
(*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))))
✓accuracy59.5%
(+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))))
✓accuracy56.1%
(+.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 eps #s(literal -1 binary64))) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))))))
✓accuracy50.2%
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))))))
✓accuracy100.0%
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
✓accuracy100.0%
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
✓accuracy100.0%
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
✓accuracy100.0%
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
Results
380.0ms184×1valid
136.0ms53×2valid
11.0ms16×0valid
9.0ms3×3valid
Compiler

Compiled 1099 to 54 computations (95.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 347.0ms
ival-mult: 125.0ms (36% of total)
ival-add: 71.0ms (20.5% of total)
backward-pass: 59.0ms (17% of total)
...c/correct-round.rkt:119:19: 40.0ms (11.5% of total)
ival-exp: 27.0ms (7.8% of total)
ival-sub: 14.0ms (4% of total)
ival-div: 9.0ms (2.6% of total)
const: 2.0ms (0.6% of total)

series75.0ms (0.4%)

Counts
23 → 516
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 (* x (+ (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)) (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))) (* x (* (+ (/ 1/2 eps) -1/2) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (- -1 eps)))))) (* (+ (/ 1/2 eps) -1/2) (* (* 1/2 (+ 1 eps)) (- -1 eps)))))))))>
#<alt (* x (+ (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)) (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))) (* x (* (+ (/ 1/2 eps) -1/2) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (- -1 eps)))))) (* (+ (/ 1/2 eps) -1/2) (* (* 1/2 (+ 1 eps)) (- -1 eps))))))))>
#<alt (+ (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)) (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))) (* x (* (+ (/ 1/2 eps) -1/2) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (- -1 eps)))))) (* (+ (/ 1/2 eps) -1/2) (* (* 1/2 (+ 1 eps)) (- -1 eps)))))))>
#<alt (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))) (* x (* (+ (/ 1/2 eps) -1/2) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (- -1 eps)))))) (* (+ (/ 1/2 eps) -1/2) (* (* 1/2 (+ 1 eps)) (- -1 eps))))))>
#<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 (- (* (+ 1 (* x (+ (+ eps -1) (* x (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2)))))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))>
#<alt (* (+ 1 (* x (+ (+ eps -1) (* x (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2)))))) (- 1/2 (/ -1/2 eps)))>
#<alt (+ 1 (* x (+ (+ eps -1) (* x (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))))))>
#<alt (* x (+ (+ eps -1) (* x (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2)))))>
#<alt (exp (* x (- -1 eps)))>
#<alt (* x (- -1 eps))>
#<alt (+ (* (+ 1/2 (/ 1/2 eps)) (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))) (* x (* (+ (/ 1/2 eps) -1/2) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (- -1 eps))))))>
#<alt (+ (+ (* (+ 1/2 (/ 1/2 eps)) (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))) (* x (* (+ (/ 1/2 eps) -1/2) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (- -1 eps)))))) (* (+ (/ 1/2 eps) -1/2) (* (* 1/2 (+ 1 eps)) (- -1 eps))))>
#<alt (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))) (* x (* (+ (/ 1/2 eps) -1/2) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (- -1 eps)))))) (* (+ (/ 1/2 eps) -1/2) (* (* 1/2 (+ 1 eps)) (- -1 eps)))))>
#<alt (* x (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2)))>
#<alt (* x 1/6)>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))>
#<alt (+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)))))>
#<alt (+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (exp (* -1 x))>
#<alt (+ (exp (* -1 x)) (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))>
#<alt 2>
#<alt (+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))>
#<alt (+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1)))>
#<alt (+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- eps 1) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))))) 1)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (* 2 (exp (* -1 x)))>
#<alt (+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))>
#<alt (+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x)))))))>
#<alt (+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x)))))) (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x)))))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))>
#<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>
#<alt (+ 1 (* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))))>
#<alt (+ 1 (* x (+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* 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))))))>
#<alt (+ 1 (* x (+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (+ (* 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 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))>
#<alt (* (pow x 3) (+ (* 1/6 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3))) (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))>
#<alt (* (pow x 3) (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 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 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)) x))))))>
#<alt (* (pow x 3) (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 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 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)) x)) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (pow x 2)) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (pow x 2))))))))>
#<alt (* (pow x 3) (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 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 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)) x)) (+ (/ 1 (pow x 3)) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (pow x 2)) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (pow x 2)))))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1/6 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* 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)))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (+ (* 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)))) 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)))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))) (/ 1 x)) x)) (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* 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)))))))>
#<alt (/ (* (pow x 2) (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps)>
#<alt (/ (+ (* eps (+ 1 (* (pow x 2) (- (+ (* -1/2 (+ 1/2 (* -1/6 x))) (+ (* 1/12 x) (* 1/6 x))) 1/4)))) (* (pow x 2) (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4))) eps)>
#<alt (/ (+ (* eps (+ 1 (+ (* eps (* (pow x 2) (+ 1/4 (+ (* -1/2 (+ 1/2 (* -1/6 x))) (* -1/12 x))))) (* (pow x 2) (- (+ (* -1/2 (+ 1/2 (* -1/6 x))) (+ (* 1/12 x) (* 1/6 x))) 1/4))))) (* (pow x 2) (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4))) eps)>
#<alt (/ (+ (* eps (+ 1 (+ (* eps (+ (* eps (* (pow x 2) (+ 1/4 (+ (* -1/6 x) (+ (* -1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))))))) (* (pow x 2) (+ 1/4 (+ (* -1/2 (+ 1/2 (* -1/6 x))) (* -1/12 x)))))) (* (pow x 2) (- (+ (* -1/2 (+ 1/2 (* -1/6 x))) (+ (* 1/12 x) (* 1/6 x))) 1/4))))) (* (pow x 2) (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4))) eps)>
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#<alt (* -1 (* 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))))))>
#<alt (* -1 (* x (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* 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)))))))>
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#<alt (* (pow x 2) (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 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 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)) x))))))>
#<alt (* -1 (* (pow x 2) (+ (* -1/6 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))))>
#<alt (* (pow x 2) (+ (* -1 (+ (* -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)) x)) (* 1/2 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)) x)))))>
#<alt (* (pow x 2) (+ (* -1 (+ (* -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)) x)) (* 1/2 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)) x)))))>
#<alt (* (pow x 2) (+ (* -1 (+ (* -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)) x)) (* 1/2 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)) x)))))>
#<alt (/ (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps)>
#<alt (/ (+ (* eps (* x (- (+ (* -1/2 (+ 1/2 (* -1/6 x))) (+ (* 1/12 x) (* 1/6 x))) 1/4))) (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4))) eps)>
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#<alt (* (pow eps 3) (* x (+ (* -1/12 x) (* 1/12 x))))>
#<alt (* (pow eps 3) (+ (* x (+ (* -1/12 x) (* 1/12 x))) (/ (* x (+ 1/4 (+ (* -1/6 x) (+ (* -1/12 x) (* 1/2 (+ 1/2 (* -1/6 x))))))) eps)))>
#<alt (* (pow eps 3) (+ (* x (+ (* -1/12 x) (* 1/12 x))) (+ (/ (* x (+ 1/4 (+ (* -1/2 (+ 1/2 (* -1/6 x))) (* -1/12 x)))) (pow eps 2)) (/ (* x (+ 1/4 (+ (* -1/6 x) (+ (* -1/12 x) (* 1/2 (+ 1/2 (* -1/6 x))))))) eps))))>
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#<alt (* -1 (* (pow eps 3) (* x (+ (* -1/12 x) (* 1/12 x)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (* x (+ 1/4 (+ (* -1/6 x) (+ (* 1/12 x) (* 1/2 (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))))))) eps)) (* x (+ (* -1/12 x) (* 1/12 x))))))>
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#<alt (* 1/2 (* x (pow (- eps 1) 2)))>
#<alt (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))>
#<alt (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))>
#<alt (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))>
#<alt (* 1/6 (* (pow x 2) (pow (- eps 1) 3)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))>
#<alt (* 1/6 (* (pow x 2) (pow (- eps 1) 3)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))>
#<alt (* x (+ 1/2 (* -1/6 x)))>
#<alt (+ (* eps (* x (+ (* -2 (+ 1/2 (* -1/6 x))) (* 1/6 x)))) (* x (+ 1/2 (* -1/6 x))))>
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#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
#<alt (* 1/6 x)>
Calls

129 calls:

TimeVariablePointExpression
13.0ms
eps
@inf
(+ 1 (* x (+ (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)) (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))) (* x (* (+ (/ 1/2 eps) -1/2) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (- -1 eps)))))) (* (+ (/ 1/2 eps) -1/2) (* (* 1/2 (+ 1 eps)) (- -1 eps)))))))))
6.0ms
x
@-inf
(* x (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2)))
3.0ms
eps
@-inf
(+ 1 (* x (+ (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)) (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))) (* x (* (+ (/ 1/2 eps) -1/2) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (- -1 eps)))))) (* (+ (/ 1/2 eps) -1/2) (* (* 1/2 (+ 1 eps)) (- -1 eps)))))))))
1.0ms
x
@-inf
(+ (* (+ 1/2 (/ 1/2 eps)) (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))) (* x (* (+ (/ 1/2 eps) -1/2) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (- -1 eps))))))
1.0ms
x
@0
(+ 1 (* x (+ (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)) (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))) (* x (* (+ (/ 1/2 eps) -1/2) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (- -1 eps)))))) (* (+ (/ 1/2 eps) -1/2) (* (* 1/2 (+ 1 eps)) (- -1 eps)))))))))

rewrite476.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
2978×*-lowering-*.f32
2978×*-lowering-*.f64
1686×+-lowering-+.f64
1686×+-lowering-+.f32
1654×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053683
1424672
25085672
08068672
Stop Event
1×iter limit
1×node limit
Counts
23 → 389
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 (* x (+ (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)) (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))) (* x (* (+ (/ 1/2 eps) -1/2) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (- -1 eps)))))) (* (+ (/ 1/2 eps) -1/2) (* (* 1/2 (+ 1 eps)) (- -1 eps)))))))))
(* x (+ (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)) (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))) (* x (* (+ (/ 1/2 eps) -1/2) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (- -1 eps)))))) (* (+ (/ 1/2 eps) -1/2) (* (* 1/2 (+ 1 eps)) (- -1 eps))))))))
(+ (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)) (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))) (* x (* (+ (/ 1/2 eps) -1/2) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (- -1 eps)))))) (* (+ (/ 1/2 eps) -1/2) (* (* 1/2 (+ 1 eps)) (- -1 eps)))))))
(+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))) (* x (* (+ (/ 1/2 eps) -1/2) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (- -1 eps)))))) (* (+ (/ 1/2 eps) -1/2) (* (* 1/2 (+ 1 eps)) (- -1 eps))))))
(- (+ 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))
(- (* (+ 1 (* x (+ (+ eps -1) (* x (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2)))))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(* (+ 1 (* x (+ (+ eps -1) (* x (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2)))))) (- 1/2 (/ -1/2 eps)))
(+ 1 (* x (+ (+ eps -1) (* x (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))))))
(* x (+ (+ eps -1) (* x (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2)))))
(exp (* x (- -1 eps)))
(* x (- -1 eps))
(+ (* (+ 1/2 (/ 1/2 eps)) (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))) (* x (* (+ (/ 1/2 eps) -1/2) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (- -1 eps))))))
(+ (+ (* (+ 1/2 (/ 1/2 eps)) (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))) (* x (* (+ (/ 1/2 eps) -1/2) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (- -1 eps)))))) (* (+ (/ 1/2 eps) -1/2) (* (* 1/2 (+ 1 eps)) (- -1 eps))))
(* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))) (* x (* (+ (/ 1/2 eps) -1/2) (* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (- -1 eps)))))) (* (+ (/ 1/2 eps) -1/2) (* (* 1/2 (+ 1 eps)) (- -1 eps)))))
(* x (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2)))
(* x 1/6)
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 (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)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) #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 (+.f64 eps #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) (-.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 (+.f64 eps #s(literal -1 binary64))))) (*.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 (+.f64 eps #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (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 #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 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) (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #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 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (-.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 (+.f64 eps #s(literal -1 binary64))) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (-.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 (+.f64 eps #s(literal -1 binary64))) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (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 (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 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)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #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 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(-.f64 (/.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (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 (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (-.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 (+.f64 eps #s(literal -1 binary64))) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #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 (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (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 (+.f64 eps #s(literal -1 binary64))) #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 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (-.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 (+.f64 eps #s(literal -1 binary64))) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #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 (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (-.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 (+.f64 eps #s(literal -1 binary64))) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (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 (+.f64 eps #s(literal -1 binary64)))) (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 (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) (-.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #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 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (-.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 (+.f64 eps #s(literal -1 binary64))) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))))
(*.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (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 (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) (+.f64 eps #s(literal -1 binary64))))
(pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))
(pow.f64 (exp.f64 (+.f64 eps #s(literal -1 binary64))) x)
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) eps))
(*.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) #s(literal -1 binary64)))
(*.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 x)))
(*.f64 (pow.f64 (exp.f64 x) (/.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64))))
(+.f64 (*.f64 x eps) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 x eps))
(-.f64 (*.f64 x eps) x)
(fma.f64 x eps (neg.f64 x))
(fma.f64 eps x (neg.f64 x))
(/.f64 (+.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x eps) (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x eps) (neg.f64 x)))
(/.f64 (*.f64 x (+.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 x (+.f64 (*.f64 eps eps) #s(literal -1 binary64))) (+.f64 eps #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps))))
(/.f64 (*.f64 (+.f64 (*.f64 eps eps) #s(literal -1 binary64)) x) (+.f64 eps #s(literal 1 binary64)))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(*.f64 (+.f64 eps #s(literal -1 binary64)) x)
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/6 binary64) eps)))))) (+.f64 (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal -1/6 binary64))))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 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 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))))
(+.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/6 binary64) eps)))))) (+.f64 (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal -1/6 binary64))))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 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 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))) #s(literal 1 binary64))
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(*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/6 binary64) eps)))))) (+.f64 (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal -1/6 binary64))))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))))) x)
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(+.f64 (*.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/6 binary64) eps)))) (*.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64)))
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(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/6 binary64) eps)))) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))
(*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/6 binary64) eps))))) x)
(*.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/6 binary64) eps)))))
(*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/6 binary64) eps))))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)

simplify485.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
4480×*-lowering-*.f32
4480×*-lowering-*.f64
4180×+-lowering-+.f64
4180×+-lowering-+.f32
1310×sum4-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0120614881
1459614057
0827814057
Stop Event
1×iter limit
1×node limit
Counts
516 → 516
Calls
Call 1
Inputs
1
(+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)))))
(+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(exp (* -1 x))
(+ (exp (* -1 x)) (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))))
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))))
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
2
(+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1)))
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- eps 1) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))))) 1)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
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(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
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(* 1/12 (* (pow eps 3) (pow x 3)))
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(* 1/12 (* (pow eps 3) (pow x 3)))
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1
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(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
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1
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(exp (* x (- (* -1 eps) 1)))
(* -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)))
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(/ (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) eps)
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(* -1 (* 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)))))))
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(/ (- (+ (* 1/12 x) (+ (* 1/2 (+ 1/2 (* -1/6 x))) (* eps (- (+ (* -1/2 (+ 1/2 (* -1/6 x))) (+ (* 1/12 x) (* 1/6 x))) 1/4)))) 1/4) eps)
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(* -1 (* (pow eps 3) (+ (* -1/12 x) (* 1/12 x))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/4 (+ (* -1/6 x) (+ (* 1/12 x) (* 1/2 (+ 1/2 (+ (* -1/3 x) (* -1/6 x))))))) eps)) (+ (* -1/12 x) (* 1/12 x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/4 (+ (* -1 (/ (- (+ (* -1/2 (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))) (* 1/2 (+ (* -1/6 x) (* 2 (+ 1/2 (* -1/6 x)))))) 1/4) eps)) (+ (* -1/6 x) (+ (* 1/12 x) (* 1/2 (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))))))) eps)) (+ (* -1/12 x) (* 1/12 x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/4 (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (+ (* -1/6 x) (* 2 (+ 1/2 (* -1/6 x))))) (+ (* 1/6 x) (* 1/2 (+ 1/2 (* -1/6 x))))) 1/4) eps)) (+ (* -1/2 (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))) (* 1/2 (+ (* -1/6 x) (* 2 (+ 1/2 (* -1/6 x))))))) 1/4) eps)) (+ (* -1/6 x) (+ (* 1/12 x) (* 1/2 (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))))))) eps)) (+ (* -1/12 x) (* 1/12 x)))))
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(* -1 (* 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 (* x (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* 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 (* x (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* 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 (* x (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* 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)))))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (+ (* 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))))))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (+ (* 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))))))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (+ (* 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))))))))
(* (pow x 2) (+ (* 1/6 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3))) (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))
(* (pow x 2) (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 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 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)) x))))))
(* (pow x 2) (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 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 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)) x))))))
(* (pow x 2) (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 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 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)) x))))))
(* -1 (* (pow x 2) (+ (* -1/6 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))))
(* (pow x 2) (+ (* -1 (+ (* -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)) x)) (* 1/2 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)) x)))))
(* (pow x 2) (+ (* -1 (+ (* -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)) x)) (* 1/2 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)) x)))))
(* (pow x 2) (+ (* -1 (+ (* -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)) x)) (* 1/2 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)) x)))))
(/ (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps)
(/ (+ (* eps (* x (- (+ (* -1/2 (+ 1/2 (* -1/6 x))) (+ (* 1/12 x) (* 1/6 x))) 1/4))) (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4))) eps)
(/ (+ (* eps (+ (* eps (* x (+ 1/4 (+ (* -1/2 (+ 1/2 (* -1/6 x))) (* -1/12 x))))) (* x (- (+ (* -1/2 (+ 1/2 (* -1/6 x))) (+ (* 1/12 x) (* 1/6 x))) 1/4)))) (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4))) eps)
(/ (+ (* eps (+ (* eps (+ (* eps (* x (+ 1/4 (+ (* -1/6 x) (+ (* -1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))))))) (* x (+ 1/4 (+ (* -1/2 (+ 1/2 (* -1/6 x))) (* -1/12 x)))))) (* x (- (+ (* -1/2 (+ 1/2 (* -1/6 x))) (+ (* 1/12 x) (* 1/6 x))) 1/4)))) (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4))) eps)
(* (pow eps 3) (* x (+ (* -1/12 x) (* 1/12 x))))
(* (pow eps 3) (+ (* x (+ (* -1/12 x) (* 1/12 x))) (/ (* x (+ 1/4 (+ (* -1/6 x) (+ (* -1/12 x) (* 1/2 (+ 1/2 (* -1/6 x))))))) eps)))
(* (pow eps 3) (+ (* x (+ (* -1/12 x) (* 1/12 x))) (+ (/ (* x (+ 1/4 (+ (* -1/2 (+ 1/2 (* -1/6 x))) (* -1/12 x)))) (pow eps 2)) (/ (* x (+ 1/4 (+ (* -1/6 x) (+ (* -1/12 x) (* 1/2 (+ 1/2 (* -1/6 x))))))) eps))))
(* (pow eps 3) (+ (* x (+ (* -1/12 x) (* 1/12 x))) (+ (/ (* x (+ 1/4 (+ (* -1/2 (+ 1/2 (* -1/6 x))) (* -1/12 x)))) (pow eps 2)) (+ (/ (* x (+ 1/4 (+ (* -1/6 x) (+ (* -1/12 x) (* 1/2 (+ 1/2 (* -1/6 x))))))) eps) (/ (* x (- (+ (* -1/2 (+ 1/2 (* -1/6 x))) (+ (* 1/12 x) (* 1/6 x))) 1/4)) (pow eps 3))))))
(* -1 (* (pow eps 3) (* x (+ (* -1/12 x) (* 1/12 x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (* x (+ 1/4 (+ (* -1/6 x) (+ (* 1/12 x) (* 1/2 (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))))))) eps)) (* x (+ (* -1/12 x) (* 1/12 x))))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (* x (- (+ (* -1/2 (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))) (* 1/2 (+ (* -1/6 x) (* 2 (+ 1/2 (* -1/6 x)))))) 1/4)) eps)) (* x (+ 1/4 (+ (* -1/6 x) (+ (* 1/12 x) (* 1/2 (+ 1/2 (+ (* -1/3 x) (* -1/6 x))))))))) eps)) (* x (+ (* -1/12 x) (* 1/12 x))))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (- (+ (* -1/2 (+ (* -1/6 x) (* 2 (+ 1/2 (* -1/6 x))))) (+ (* 1/6 x) (* 1/2 (+ 1/2 (* -1/6 x))))) 1/4)) eps)) (* x (- (+ (* -1/2 (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))) (* 1/2 (+ (* -1/6 x) (* 2 (+ 1/2 (* -1/6 x)))))) 1/4))) eps)) (* x (+ 1/4 (+ (* -1/6 x) (+ (* 1/12 x) (* 1/2 (+ 1/2 (+ (* -1/3 x) (* -1/6 x))))))))) eps)) (* x (+ (* -1/12 x) (* 1/12 x))))))
(* 1/2 (* x (pow (- eps 1) 2)))
(* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))
(* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))
(* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))
(* 1/6 (* (pow x 2) (pow (- eps 1) 3)))
(* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))
(* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))
(* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))
(* 1/6 (* (pow x 2) (pow (- eps 1) 3)))
(* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))
(* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))
(* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))
(* x (+ 1/2 (* -1/6 x)))
(+ (* eps (* x (+ (* -2 (+ 1/2 (* -1/6 x))) (* 1/6 x)))) (* x (+ 1/2 (* -1/6 x))))
(+ (* eps (+ (* eps (* x (+ 1/2 (+ (* -1/3 x) (* -1/6 x))))) (* x (+ (* -2 (+ 1/2 (* -1/6 x))) (* 1/6 x))))) (* x (+ 1/2 (* -1/6 x))))
(+ (* eps (+ (* eps (+ (* 1/6 (* eps (pow x 2))) (* x (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))))) (* x (+ (* -2 (+ 1/2 (* -1/6 x))) (* 1/6 x))))) (* x (+ 1/2 (* -1/6 x))))
(* 1/6 (* (pow eps 3) (pow x 2)))
(* (pow eps 3) (+ (* 1/6 (pow x 2)) (/ (* x (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))) eps)))
(* (pow eps 3) (+ (* 1/6 (pow x 2)) (+ (/ (* x (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))) eps) (/ (* x (+ (* -2 (+ 1/2 (* -1/6 x))) (* 1/6 x))) (pow eps 2)))))
(* (pow eps 3) (+ (* 1/6 (pow x 2)) (+ (/ (* x (+ 1/2 (* -1/6 x))) (pow eps 3)) (+ (/ (* x (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))) eps) (/ (* x (+ (* -2 (+ 1/2 (* -1/6 x))) (* 1/6 x))) (pow eps 2))))))
(* 1/6 (* (pow eps 3) (pow x 2)))
(* -1 (* (pow eps 3) (+ (* -1 (/ (* x (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))) eps)) (* -1/6 (pow x 2)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (* x (+ (* -1/6 x) (* 2 (+ 1/2 (* -1/6 x))))) eps)) (* x (+ 1/2 (+ (* -1/3 x) (* -1/6 x))))) eps)) (* -1/6 (pow x 2)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (+ 1/2 (* -1/6 x))) eps)) (* x (+ (* -1/6 x) (* 2 (+ 1/2 (* -1/6 x)))))) eps)) (* x (+ 1/2 (+ (* -1/3 x) (* -1/6 x))))) eps)) (* -1/6 (pow x 2)))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))
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(* x (+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (+ (* 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 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))))
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(* x (+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (+ (* 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 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))))
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(* (pow x 3) (+ (* 1/6 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3))) (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))
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(* (pow x 3) (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 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 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)) x))))))
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(* (pow x 3) (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 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 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)) x)) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (pow x 2)) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (pow x 2))))))))
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(* (pow x 3) (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 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 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)) x)) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (pow x 2)) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (pow x 2))))))))
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(* -1 (* (pow x 3) (+ (* -1/6 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))))
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(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* 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)))))))
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(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (+ (* 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)))) 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)))))))
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(* (pow x 2) (+ (* -1 (+ (* -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)) x)) (* 1/2 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)) x)))))
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(* (pow x 2) (+ (* -1 (+ (* -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 (/ (+ (* -1 (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) (* -1 (/ (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))) x))) x))))
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(* (pow x 2) (+ (* -1 (+ (* -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 (/ (+ (* -1 (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) (* -1 (/ (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))) x))) x))))
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1
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(* 1/2 (* x (pow (- eps 1) 2)))
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(* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))
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(* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))
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(* 1/6 (* (pow x 2) (pow (- eps 1) 3)))
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(* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))
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(* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))
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(* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) x)))
(* 1/6 (* (pow x 2) (pow (- eps 1) 3)))
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(* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))
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(* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))
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(* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))
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(* x (+ 1/2 (* -1/6 x)))
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(+ (* eps (* x (+ (* -2 (+ 1/2 (* -1/6 x))) (* 1/6 x)))) (* x (+ 1/2 (* -1/6 x))))
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(+ (* eps (+ (* eps (* x (+ 1/2 (+ (* -1/3 x) (* -1/6 x))))) (* x (+ (* -2 (+ 1/2 (* -1/6 x))) (* 1/6 x))))) (* x (+ 1/2 (* -1/6 x))))
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(+ (* eps (+ (* eps (+ (* 1/6 (* eps (pow x 2))) (* x (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))))) (* x (+ (* -2 (+ 1/2 (* -1/6 x))) (* 1/6 x))))) (* x (+ 1/2 (* -1/6 x))))
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(* 1/6 (* (pow eps 3) (pow x 2)))
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(* (pow eps 3) (+ (* 1/6 (pow x 2)) (/ (* x (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))) eps)))
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(* (pow eps 3) (+ (* 1/6 (pow x 2)) (+ (/ (* x (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))) eps) (/ (* x (+ (* -2 (+ 1/2 (* -1/6 x))) (* 1/6 x))) (pow eps 2)))))
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(* (pow eps 3) (+ (* 1/6 (pow x 2)) (+ (/ (* x (+ 1/2 (* -1/6 x))) (pow eps 3)) (+ (/ (* x (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))) eps) (/ (* x (+ (* -2 (+ 1/2 (* -1/6 x))) (* 1/6 x))) (pow eps 2))))))
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(* 1/6 (* (pow eps 3) (pow x 2)))
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(* -1 (* (pow eps 3) (+ (* -1 (/ (* x (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))) eps)) (* -1/6 (pow x 2)))))
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(* 1/6 x)
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(* 1/6 x)
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(* 1/6 x)
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(* 1/6 x)
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(* 1/6 x)
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(* 1/6 x)
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(* 1/6 x)
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(* 1/6 x)
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(* 1/6 x)
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(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
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(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))

eval276.0ms (1.6%)

Compiler

Compiled 94103 to 4416 computations (95.3% saved)

prune201.0ms (1.2%)

Pruning

32 alts after pruning (31 fresh and 1 done)

PrunedKeptTotal
New1334281362
Fresh639
Picked415
Done000
Total1344321376
Accuracy
100.0%
Counts
1376 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.8%
(/.f64 (-.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))))) (*.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 (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 (*.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 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))
1.7%
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (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 (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
42.4%
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (-.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 (+.f64 eps #s(literal -1 binary64))) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
29.2%
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
22.3%
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
45.7%
(-.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 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
▶26.8%
(-.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 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
38.8%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/6 binary64) eps))))) x))))) (-.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))))
34.0%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
35.7%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 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))) #s(literal -1/2 binary64)))
51.3%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) (+.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))))
24.0%
(-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x x))))) (-.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))))
29.6%
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) x))) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/6 binary64) eps)))))) (+.f64 (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal -1/6 binary64))))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))))))))
34.6%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
53.8%
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (-.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))) (*.f64 eps (*.f64 x (+.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (+.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)))))) eps)))
40.2%
(+.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 eps #s(literal -1 binary64))) (*.f64 x (+.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))))))))
42.1%
(+.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 eps (*.f64 eps eps)) (+.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) eps) #s(literal 0 binary64))))))
22.9%
(+.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 eps (*.f64 eps eps)) #s(literal 0 binary64)))))
39.1%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.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 #s(literal 1 binary64) eps) (+.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) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
55.9%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) eps) #s(literal 0 binary64)))))
▶61.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
56.6%
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
▶17.2%
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) eps))))
▶7.5%
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
12.1%
(*.f64 (*.f64 eps (*.f64 eps eps)) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/12 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) eps))))
18.0%
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
20.5%
(*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
62.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
66.6%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)))
▶85.7%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
69.0%
(exp.f64 (-.f64 #s(literal 0 binary64) x))
✓43.4%
#s(literal 1 binary64)
Compiler

Compiled 2379 to 1207 computations (49.3% saved)

simplify254.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
✓cost-diff0
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
✓cost-diff512
(*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))
✓cost-diff512
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))))
✓cost-diff512
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
✓cost-diff896
(-.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 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
✓cost-diff512
(/.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) eps)
✓cost-diff640
(+.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) eps))
✓cost-diff640
(*.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) eps)))
✓cost-diff640
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) eps))))
✓cost-diff0
(*.f64 eps eps)
✓cost-diff0
(*.f64 eps (*.f64 eps eps))
✓cost-diff256
(*.f64 (*.f64 x x) #s(literal 0 binary64))
✓cost-diff640
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) #s(literal 0 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
5152×+-lowering-+.f64
5152×+-lowering-+.f32
2308×*-lowering-*.f32
2308×*-lowering-*.f64
1920×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
049488
1156436
2586403
33285399
08417399
Stop Event
1×iter limit
1×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
(* (* eps (* eps eps)) (* (* x x) 0))
(* eps (* eps eps))
eps
(* eps eps)
(* (* x x) 0)
(* x x)
x
0
(* (* eps (* eps eps)) (* (* x x) (+ 0 (/ (+ 1/4 (+ (* x -1/4) (* 1/2 (+ 1/2 (* x -1/6))))) eps))))
(* eps (* eps eps))
eps
(* eps eps)
(* (* x x) (+ 0 (/ (+ 1/4 (+ (* x -1/4) (* 1/2 (+ 1/2 (* x -1/6))))) eps)))
(* x x)
x
(+ 0 (/ (+ 1/4 (+ (* x -1/4) (* 1/2 (+ 1/2 (* x -1/6))))) eps))
0
(/ (+ 1/4 (+ (* x -1/4) (* 1/2 (+ 1/2 (* x -1/6))))) eps)
(+ 1/4 (+ (* x -1/4) (* 1/2 (+ 1/2 (* x -1/6)))))
1/4
(+ (* x -1/4) (* 1/2 (+ 1/2 (* x -1/6))))
(* x -1/4)
-1/4
(* 1/2 (+ 1/2 (* x -1/6)))
1/2
(+ 1/2 (* x -1/6))
(* x -1/6)
-1/6
(- (+ 1/2 (/ 1/2 eps)) (* (+ 1 (* x (+ (- -1 eps) (* x (+ (* 1/2 (* (+ 1 eps) (+ 1 eps))) (* (* x -1/6) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))) (+ (/ 1/2 eps) -1/2)))
(+ 1/2 (/ 1/2 eps))
1/2
(/ 1/2 eps)
eps
(* (+ 1 (* x (+ (- -1 eps) (* x (+ (* 1/2 (* (+ 1 eps) (+ 1 eps))) (* (* x -1/6) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))) (+ (/ 1/2 eps) -1/2))
(+ 1 (* x (+ (- -1 eps) (* x (+ (* 1/2 (* (+ 1 eps) (+ 1 eps))) (* (* x -1/6) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))))))))
1
(* x (+ (- -1 eps) (* x (+ (* 1/2 (* (+ 1 eps) (+ 1 eps))) (* (* x -1/6) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))
x
(+ (- -1 eps) (* x (+ (* 1/2 (* (+ 1 eps) (+ 1 eps))) (* (* x -1/6) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))))))
(- -1 eps)
-1
(* x (+ (* 1/2 (* (+ 1 eps) (+ 1 eps))) (* (* x -1/6) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))
(+ (* 1/2 (* (+ 1 eps) (+ 1 eps))) (* (* x -1/6) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))))
(* 1/2 (* (+ 1 eps) (+ 1 eps)))
(* (+ 1 eps) (+ 1 eps))
(+ 1 eps)
(* (* x -1/6) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))
(* x -1/6)
-1/6
(* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))
(+ (/ 1/2 eps) -1/2)
-1/2
(+ 1/2 (* 1/2 (exp (* x (- -1 eps)))))
1/2
(* 1/2 (exp (* x (- -1 eps))))
(exp (* x (- -1 eps)))
(* x (- -1 eps))
x
(- -1 eps)
-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)
(* (* eps (* eps eps)) (* (* x x) 0))
#s(literal 0 binary64)
(* eps (* eps eps))
(*.f64 (*.f64 eps eps) eps)
eps
(* eps eps)
(*.f64 eps eps)
(* (* x x) 0)
#s(literal 0 binary64)
(* x x)
(*.f64 x x)
x
0
#s(literal 0 binary64)
(* (* eps (* eps eps)) (* (* x x) (+ 0 (/ (+ 1/4 (+ (* x -1/4) (* 1/2 (+ 1/2 (* x -1/6))))) eps))))
(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))) (*.f64 eps (*.f64 eps (*.f64 (*.f64 x x) eps)))) eps)
(* eps (* eps eps))
(*.f64 (*.f64 eps eps) eps)
eps
(* eps eps)
(*.f64 eps eps)
(* (* x x) (+ 0 (/ (+ 1/4 (+ (* x -1/4) (* 1/2 (+ 1/2 (* x -1/6))))) eps)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (*.f64 x x) eps))
(* x x)
(*.f64 x x)
x
(+ 0 (/ (+ 1/4 (+ (* x -1/4) (* 1/2 (+ 1/2 (* x -1/6))))) eps))
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))) eps)
0
#s(literal 0 binary64)
(/ (+ 1/4 (+ (* x -1/4) (* 1/2 (+ 1/2 (* x -1/6))))) eps)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))) eps)
(+ 1/4 (+ (* x -1/4) (* 1/2 (+ 1/2 (* x -1/6)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))
1/4
#s(literal 1/4 binary64)
(+ (* x -1/4) (* 1/2 (+ 1/2 (* x -1/6))))
(+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/3 binary64)))
(* x -1/4)
(*.f64 x #s(literal -1/4 binary64))
-1/4
#s(literal -1/4 binary64)
(* 1/2 (+ 1/2 (* x -1/6)))
(+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* x -1/6))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))
(* x -1/6)
(*.f64 x #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(- (+ 1/2 (/ 1/2 eps)) (* (+ 1 (* x (+ (- -1 eps) (* x (+ (* 1/2 (* (+ 1 eps) (+ 1 eps))) (* (* x -1/6) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))) (+ (/ 1/2 eps) -1/2)))
(-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/6 binary64)))) eps)) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 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)
eps
(* (+ 1 (* x (+ (- -1 eps) (* x (+ (* 1/2 (* (+ 1 eps) (+ 1 eps))) (* (* x -1/6) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))) (+ (/ 1/2 eps) -1/2))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/6 binary64)))) eps)))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(+ 1 (* x (+ (- -1 eps) (* x (+ (* 1/2 (* (+ 1 eps) (+ 1 eps))) (* (* x -1/6) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/6 binary64)))) eps))))
1
#s(literal 1 binary64)
(* x (+ (- -1 eps) (* x (+ (* 1/2 (* (+ 1 eps) (+ 1 eps))) (* (* x -1/6) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))
(*.f64 x (+.f64 #s(literal -1 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/6 binary64)))) eps)))
x
(+ (- -1 eps) (* x (+ (* 1/2 (* (+ 1 eps) (+ 1 eps))) (* (* x -1/6) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))))))
(+.f64 #s(literal -1 binary64) (-.f64 (*.f64 (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/6 binary64)))) eps))
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
-1
#s(literal -1 binary64)
(* x (+ (* 1/2 (* (+ 1 eps) (+ 1 eps))) (* (* x -1/6) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))
(*.f64 (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/6 binary64))))
(+ (* 1/2 (* (+ 1 eps) (+ 1 eps))) (* (* x -1/6) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps))))))
(* 1/2 (* (+ 1 eps) (+ 1 eps)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(* (+ 1 eps) (+ 1 eps))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
(+ 1 eps)
(+.f64 #s(literal 1 binary64) eps)
(* (* x -1/6) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))
(*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps))))
(* x -1/6)
(*.f64 x #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(+ (/ 1/2 eps) -1/2)
(+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(+ 1/2 (* 1/2 (exp (* x (- -1 eps)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
1/2
#s(literal 1/2 binary64)
(* 1/2 (exp (* x (- -1 eps))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 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)
eps

localize336.0ms (2%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
✓accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
✓accuracy100.0%
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
✓accuracy100.0%
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
✓accuracy95.5%
(*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
✓accuracy93.3%
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))
✓accuracy83.0%
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))
✓accuracy74.7%
(-.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 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
✓accuracy99.8%
(*.f64 eps (*.f64 eps eps))
✓accuracy99.5%
(*.f64 x #s(literal -1/6 binary64))
✓accuracy93.4%
(*.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) eps)))
✓accuracy68.6%
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) eps))))
✓accuracy100.0%
(*.f64 eps eps)
✓accuracy99.8%
(*.f64 eps (*.f64 eps eps))
✓accuracy82.7%
(*.f64 (*.f64 x x) #s(literal 0 binary64))
✓accuracy62.7%
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
✓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))
✓accuracy100.0%
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
✓accuracy99.9%
(exp.f64 (*.f64 x eps))
Results
102.0ms186×0valid
88.0ms60×1valid
13.0ms9×2valid
3.0ms1×5exit
Compiler

Compiled 568 to 50 computations (91.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 119.0ms
ival-mult: 48.0ms (40.4% of total)
...c/correct-round.rkt:119:19: 23.0ms (19.4% of total)
ival-add: 20.0ms (16.8% of total)
backward-pass: 14.0ms (11.8% of total)
ival-div: 5.0ms (4.2% of total)
ival-exp: 5.0ms (4.2% of total)
ival-sub: 4.0ms (3.4% of total)
const: 2.0ms (1.7% of total)

series53.0ms (0.3%)

Counts
24 → 528
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 (* (* eps (* eps eps)) (* (* x x) 0))>
#<alt (* (* x x) 0)>
#<alt (* eps (* eps eps))>
#<alt (* eps eps)>
#<alt (* (* eps (* eps eps)) (* (* x x) (+ 0 (/ (+ 1/4 (+ (* x -1/4) (* 1/2 (+ 1/2 (* x -1/6))))) eps))))>
#<alt (* (* x x) (+ 0 (/ (+ 1/4 (+ (* x -1/4) (* 1/2 (+ 1/2 (* x -1/6))))) eps)))>
#<alt (+ 0 (/ (+ 1/4 (+ (* x -1/4) (* 1/2 (+ 1/2 (* x -1/6))))) eps))>
#<alt (/ (+ 1/4 (+ (* x -1/4) (* 1/2 (+ 1/2 (* x -1/6))))) eps)>
#<alt (- (+ 1/2 (/ 1/2 eps)) (* (+ 1 (* x (+ (- -1 eps) (* x (+ (* 1/2 (* (+ 1 eps) (+ 1 eps))) (* (* x -1/6) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))) (+ (/ 1/2 eps) -1/2)))>
#<alt (* (+ 1 (* x (+ (- -1 eps) (* x (+ (* 1/2 (* (+ 1 eps) (+ 1 eps))) (* (* x -1/6) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))) (+ (/ 1/2 eps) -1/2))>
#<alt (+ 1 (* x (+ (- -1 eps) (* x (+ (* 1/2 (* (+ 1 eps) (+ 1 eps))) (* (* x -1/6) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))))))))>
#<alt (* x (+ (- -1 eps) (* x (+ (* 1/2 (* (+ 1 eps) (+ 1 eps))) (* (* x -1/6) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))>
#<alt (+ 1/2 (* 1/2 (exp (* x (- -1 eps)))))>
#<alt (* 1/2 (exp (* x (- -1 eps))))>
#<alt (exp (* x (- -1 eps)))>
#<alt (* x (- -1 eps))>
#<alt (* x -1/6)>
#<alt (+ (* 1/2 (* (+ 1 eps) (+ 1 eps))) (* (* x -1/6) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))))>
#<alt (* x (+ (* 1/2 (* (+ 1 eps) (+ 1 eps))) (* (* x -1/6) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))>
#<alt (* (* x -1/6) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))>
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)))))))))>
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#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (* x (+ 1/2 (* -1/2 x))) eps)) (* 1/6 (pow x 2)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* 1/2 x) 1)) eps)) (* x (+ 1/2 (* -1/2 x)))) eps)) (* 1/6 (pow x 2)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (+ 1/2 (* -1/6 x))) eps)) (* x (- (* 1/2 x) 1))) eps)) (* x (+ 1/2 (* -1/2 x)))) eps)) (* 1/6 (pow x 2)))))>
#<alt (* -1/6 (* x (pow (+ 1 eps) 3)))>
#<alt (* -1/6 (* x (pow (+ 1 eps) 3)))>
#<alt (* -1/6 (* x (pow (+ 1 eps) 3)))>
#<alt (* -1/6 (* x (pow (+ 1 eps) 3)))>
#<alt (* -1/6 (* x (pow (+ 1 eps) 3)))>
#<alt (* -1/6 (* x (pow (+ 1 eps) 3)))>
#<alt (* -1/6 (* x (pow (+ 1 eps) 3)))>
#<alt (* -1/6 (* x (pow (+ 1 eps) 3)))>
#<alt (* -1/6 (* x (pow (+ 1 eps) 3)))>
#<alt (* -1/6 (* x (pow (+ 1 eps) 3)))>
#<alt (* -1/6 (* x (pow (+ 1 eps) 3)))>
#<alt (* -1/6 (* x (pow (+ 1 eps) 3)))>
#<alt (* -1/6 x)>
#<alt (+ (* -1/2 (* eps x)) (* -1/6 x))>
#<alt (+ (* -1/6 x) (* eps (+ (* -1/2 x) (* -1/2 (* eps x)))))>
#<alt (+ (* -1/6 x) (* eps (+ (* -1/2 x) (* eps (+ (* -1/2 x) (* -1/6 (* eps x)))))))>
#<alt (* -1/6 (* (pow eps 3) x))>
#<alt (* (pow eps 3) (+ (* -1/2 (/ x eps)) (* -1/6 x)))>
#<alt (* (pow eps 3) (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ x (pow eps 2))) (* -1/6 x))))>
#<alt (* (pow eps 3) (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/6 x) (* -1/6 (/ x (pow eps 3)))))))>
#<alt (* -1/6 (* (pow eps 3) x))>
#<alt (* -1 (* (pow eps 3) (+ (* 1/6 x) (* 1/2 (/ x eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 x) (* -1/2 (/ x eps))) eps)) (* 1/6 x))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ x eps)) (* 1/2 x)) eps)) (* -1/2 x)) eps)) (* 1/6 x))))>
Calls

132 calls:

TimeVariablePointExpression
8.0ms
x
@inf
(- (+ 1/2 (/ 1/2 eps)) (* (+ 1 (* x (+ (- -1 eps) (* x (+ (* 1/2 (* (+ 1 eps) (+ 1 eps))) (* (* x -1/6) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))) (+ (/ 1/2 eps) -1/2)))
3.0ms
x
@0
(* 1/2 (+ (exp (* x eps)) (exp (* x (- -1 eps)))))
2.0ms
x
@inf
(* x eps)
2.0ms
eps
@0
(* (* eps (* eps eps)) (* (* x x) (+ 0 (/ (+ 1/4 (+ (* x -1/4) (* 1/2 (+ 1/2 (* x -1/6))))) eps))))
2.0ms
x
@0
(* (* eps (* eps eps)) (* (* x x) (+ 0 (/ (+ 1/4 (+ (* x -1/4) (* 1/2 (+ 1/2 (* x -1/6))))) eps))))

rewrite400.0ms (2.3%)

Algorithm
1×batch-egg-rewrite
Rules
3326×*-lowering-*.f32
3326×*-lowering-*.f64
2444×fma-lowering-fma.f32
2444×fma-lowering-fma.f64
1602×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049310
1330276
23571269
08135269
Stop Event
1×iter limit
1×node limit
Counts
24 → 463
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)
(* (* eps (* eps eps)) (* (* x x) 0))
(* (* x x) 0)
(* eps (* eps eps))
(* eps eps)
(* (* eps (* eps eps)) (* (* x x) (+ 0 (/ (+ 1/4 (+ (* x -1/4) (* 1/2 (+ 1/2 (* x -1/6))))) eps))))
(* (* x x) (+ 0 (/ (+ 1/4 (+ (* x -1/4) (* 1/2 (+ 1/2 (* x -1/6))))) eps)))
(+ 0 (/ (+ 1/4 (+ (* x -1/4) (* 1/2 (+ 1/2 (* x -1/6))))) eps))
(/ (+ 1/4 (+ (* x -1/4) (* 1/2 (+ 1/2 (* x -1/6))))) eps)
(- (+ 1/2 (/ 1/2 eps)) (* (+ 1 (* x (+ (- -1 eps) (* x (+ (* 1/2 (* (+ 1 eps) (+ 1 eps))) (* (* x -1/6) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))) (+ (/ 1/2 eps) -1/2)))
(* (+ 1 (* x (+ (- -1 eps) (* x (+ (* 1/2 (* (+ 1 eps) (+ 1 eps))) (* (* x -1/6) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))) (+ (/ 1/2 eps) -1/2))
(+ 1 (* x (+ (- -1 eps) (* x (+ (* 1/2 (* (+ 1 eps) (+ 1 eps))) (* (* x -1/6) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))))))))
(* x (+ (- -1 eps) (* x (+ (* 1/2 (* (+ 1 eps) (+ 1 eps))) (* (* x -1/6) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))
(+ 1/2 (* 1/2 (exp (* x (- -1 eps)))))
(* 1/2 (exp (* x (- -1 eps))))
(exp (* x (- -1 eps)))
(* x (- -1 eps))
(* x -1/6)
(+ (* 1/2 (* (+ 1 eps) (+ 1 eps))) (* (* x -1/6) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))))
(* x (+ (* 1/2 (* (+ 1 eps) (+ 1 eps))) (* (* x -1/6) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))
(* (* x -1/6) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))
Outputs
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x 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)))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(fma.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (exp.f64 (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64)))))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4 binary64) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64)))))) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))) (-.f64 (exp.f64 (*.f64 x 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 x (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64))))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (*.f64 x 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) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(fma.f64 (exp.f64 (*.f64 x #s(literal -1 binary64))) (exp.f64 (*.f64 x (-.f64 #s(literal 0 binary64) eps))) (exp.f64 (*.f64 x eps)))
(fma.f64 (exp.f64 (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64)))) (exp.f64 (*.f64 x eps)))
(fma.f64 (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))))) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 x (*.f64 (-.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) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64)))))) (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))) (neg.f64 (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64)))) (-.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))))) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 x (*.f64 (-.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) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))) #s(literal -1 binary64))
(*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps))))))))
(*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (/.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))
(exp.f64 (*.f64 (log.f64 (exp.f64 eps)) x))
(pow.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64))
(pow.f64 (exp.f64 x) eps)
(pow.f64 (exp.f64 x) (+.f64 (/.f64 eps #s(literal 2 binary64)) (/.f64 eps #s(literal 2 binary64))))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 2 binary64)) (/.f64 eps #s(literal 2 binary64)))
(pow.f64 (exp.f64 eps) x)
(pow.f64 (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 1 binary64)) eps)
(*.f64 (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))))
(*.f64 x eps)
(*.f64 eps x)
#s(literal 0 binary64)
#s(literal 0 binary64)
(exp.f64 (*.f64 (log.f64 eps) #s(literal 3 binary64)))
(pow.f64 eps #s(literal 3 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 eps #s(literal 3/2 binary64)) #s(literal 2 binary64))
(*.f64 eps (*.f64 eps eps))
(*.f64 (*.f64 eps eps) eps)
(*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))
(*.f64 (pow.f64 eps #s(literal 3/2 binary64)) (pow.f64 eps #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 (*.f64 eps eps) #s(literal 1 binary64))
(pow.f64 (pow.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 eps eps)
(*.f64 (*.f64 eps eps) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 eps eps))
(*.f64 (pow.f64 eps #s(literal 1 binary64)) (pow.f64 eps #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x x))) (/.f64 eps (+.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/4 binary64))) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64))))))
(+.f64 (/.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x x))) (/.f64 eps (+.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/4 binary64))) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64))))) #s(literal 0 binary64))
(fma.f64 x (*.f64 (/.f64 x (/.f64 eps (+.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/4 binary64))) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64))))) (*.f64 eps (*.f64 eps eps))) #s(literal 0 binary64))
(fma.f64 eps (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/4 binary64))) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64))) eps)) #s(literal 0 binary64))
(fma.f64 (*.f64 eps eps) (*.f64 eps (/.f64 (*.f64 (*.f64 x x) (+.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/4 binary64))) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64)))) eps)) #s(literal 0 binary64))
(fma.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 (*.f64 (*.f64 x x) (+.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/4 binary64))) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64)))) eps) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/4 binary64))) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64))) eps) (*.f64 eps (*.f64 eps eps))) #s(literal 0 binary64))
(fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/4 binary64))) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64))) eps) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/4 binary64))) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64)))) eps) (*.f64 eps (*.f64 eps eps)) #s(literal 0 binary64))
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(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))))))) x) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))))
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(+.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))) (+.f64 eps #s(literal 1 binary64))) (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))) (*.f64 eps (+.f64 eps #s(literal 1 binary64)))))
(+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))))) (*.f64 (*.f64 eps (+.f64 eps #s(literal 1 binary64))) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))))))
(fma.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))) (*.f64 (*.f64 eps (+.f64 eps #s(literal 1 binary64))) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))))))
(fma.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))) (+.f64 eps #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))) (*.f64 eps (+.f64 eps #s(literal 1 binary64)))))
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(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))) x)
(*.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))) (+.f64 eps #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) (+.f64 eps #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) x) #s(literal -1/6 binary64))

simplify525.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
7148×+-lowering-+.f64
7148×+-lowering-+.f32
4938×*-lowering-*.f32
4938×*-lowering-*.f64
1396×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07987826
129697509
085837509
Stop Event
1×iter limit
1×node limit
Counts
528 → 528
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))))
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2
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1
(+ 1 (* eps x))
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(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))))))
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(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)
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(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
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(* eps x)
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0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
(pow eps 3)
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(pow eps 3)
(pow eps 3)
(pow eps 3)
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(pow eps 2)
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(pow eps 2)
(* (pow eps 2) (* (pow x 2) (+ 1/4 (+ (* -1/4 x) (* 1/2 (+ 1/2 (* -1/6 x)))))))
(* (pow eps 2) (* (pow x 2) (+ 1/4 (+ (* -1/4 x) (* 1/2 (+ 1/2 (* -1/6 x)))))))
(* (pow eps 2) (* (pow x 2) (+ 1/4 (+ (* -1/4 x) (* 1/2 (+ 1/2 (* -1/6 x)))))))
(* (pow eps 2) (* (pow x 2) (+ 1/4 (+ (* -1/4 x) (* 1/2 (+ 1/2 (* -1/6 x)))))))
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(* (pow eps 2) (* (pow x 2) (+ 1/4 (+ (* -1/4 x) (* 1/2 (+ 1/2 (* -1/6 x)))))))
(* (pow eps 2) (* (pow x 2) (+ 1/4 (+ (* -1/4 x) (* 1/2 (+ 1/2 (* -1/6 x)))))))
(* 1/2 (* (pow eps 2) (pow x 2)))
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(* -1/3 (* (pow eps 2) (pow x 3)))
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(* (pow x 3) (+ (* -1/3 (pow eps 2)) (* 1/2 (/ (pow eps 2) x))))
(* (pow x 3) (+ (* -1/3 (pow eps 2)) (* 1/2 (/ (pow eps 2) x))))
(* -1/3 (* (pow eps 2) (pow x 3)))
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(/ (* (pow x 2) (+ 1/4 (+ (* -1/4 x) (* 1/2 (+ 1/2 (* -1/6 x)))))) eps)
(/ (* (pow x 2) (+ 1/4 (+ (* -1/4 x) (* 1/2 (+ 1/2 (* -1/6 x)))))) eps)
(/ (* (pow x 2) (+ 1/4 (+ (* -1/4 x) (* 1/2 (+ 1/2 (* -1/6 x)))))) eps)
(/ (* (pow x 2) (+ 1/4 (+ (* -1/4 x) (* 1/2 (+ 1/2 (* -1/6 x)))))) eps)
(/ (* (pow x 2) (+ 1/4 (+ (* -1/4 x) (* 1/2 (+ 1/2 (* -1/6 x)))))) eps)
(/ (* (pow x 2) (+ 1/4 (+ (* -1/4 x) (* 1/2 (+ 1/2 (* -1/6 x)))))) eps)
(/ (* (pow x 2) (+ 1/4 (+ (* -1/4 x) (* 1/2 (+ 1/2 (* -1/6 x)))))) eps)
(/ (* (pow x 2) (+ 1/4 (+ (* -1/4 x) (* 1/2 (+ 1/2 (* -1/6 x)))))) eps)
(/ (* (pow x 2) (+ 1/4 (+ (* -1/4 x) (* 1/2 (+ 1/2 (* -1/6 x)))))) eps)
(/ (* (pow x 2) (+ 1/4 (+ (* -1/4 x) (* 1/2 (+ 1/2 (* -1/6 x)))))) eps)
(/ (* (pow x 2) (+ 1/4 (+ (* -1/4 x) (* 1/2 (+ 1/2 (* -1/6 x)))))) eps)
(/ (* (pow x 2) (+ 1/4 (+ (* -1/4 x) (* 1/2 (+ 1/2 (* -1/6 x)))))) eps)
(/ 1/2 eps)
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(+ (* -1/3 (/ x eps)) (* 1/2 (/ 1 eps)))
(* -1/3 (/ x eps))
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(/ (+ 1/4 (+ (* -1/4 x) (* 1/2 (+ 1/2 (* -1/6 x))))) eps)
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(+ (* -1/3 (/ x eps)) (* 1/2 (/ 1 eps)))
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(/ (+ 1/4 (+ (* -1/4 x) (* 1/2 (+ 1/2 (* -1/6 x))))) eps)
(/ (+ 1/4 (+ (* -1/4 x) (* 1/2 (+ 1/2 (* -1/6 x))))) eps)
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(/ (- 1/2 (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))) eps)
(/ (- (+ 1/2 (* eps (- 1/2 (+ (* -1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (* 1/2 (* x (- (* x (+ 1 (* -1/2 x))) 1))))))) (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))) eps)
(/ (- (+ 1/2 (* eps (- (+ 1/2 (* -1 (* eps (+ (* -1/2 (* x (- (* x (+ 1 (* -1/2 x))) 1))) (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))))))) (+ (* -1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (* 1/2 (* x (- (* x (+ 1 (* -1/2 x))) 1))))))) (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))) eps)
(/ (- (+ 1/2 (* eps (- (+ 1/2 (* eps (- (* -1 (* eps (+ (* -1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* -1/12 (pow x 3))))) (+ (* -1/2 (* x (- (* x (+ 1 (* -1/2 x))) 1))) (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))))))) (+ (* -1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (* 1/2 (* x (- (* x (+ 1 (* -1/2 x))) 1))))))) (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))) eps)
(* -1/12 (* (pow eps 3) (pow x 3)))
(* (pow eps 3) (- (* -1 (/ (+ (* -1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* -1/12 (pow x 3))) eps)) (* 1/12 (pow x 3))))
(* (pow eps 3) (- (* -1 (/ (+ (* -1/2 (* x (- (* x (+ 1 (* -1/2 x))) 1))) (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x))))) (pow eps 2))) (+ (* -1/2 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps)) (+ (* -1/12 (/ (pow x 3) eps)) (* 1/12 (pow x 3))))))
(* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 3))) (+ (* -1/2 (/ (* x (- (* x (+ 1 (* -1/2 x))) 1)) (pow eps 2))) (+ (* -1/2 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps)) (+ (* -1/2 (/ (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) (pow eps 3))) (+ (* -1/12 (/ (pow x 3) eps)) (+ (* 1/12 (pow x 3)) (+ (* 1/2 (/ (* x (- (* x (+ 1 (* -1/2 x))) 1)) (pow eps 3))) (* 1/2 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow eps 2)))))))))))
(* -1/12 (* (pow eps 3) (pow x 3)))
(* -1 (* (pow eps 3) (- (+ (* -1/2 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps)) (* -1/12 (/ (pow x 3) eps))) (* -1/12 (pow x 3)))))
(* -1 (* (pow eps 3) (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ 1 (* x (- (* 1/2 x) 1)))) eps)) (* -1/2 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps))) (+ (* -1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* -1/12 (pow x 3)))) eps)) (* -1/12 (pow x 3)))))
(* -1 (* (pow eps 3) (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- 1/2 (+ (* -1/2 (* x (+ 1 (* x (- (* 1/2 x) 1))))) (* -1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))) eps)) (+ (* -1/2 (* x (+ 1 (* x (- (* 1/2 x) 1))))) (* -1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))))) eps)) (+ (* -1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* -1/12 (pow x 3)))) eps)) (* -1/12 (pow x 3)))))
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))))))
(* 1/6 (* (pow x 3) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(* (pow x 3) (- (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)) x)) (* -1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))
(* (pow x 3) (- (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (pow x 2)) (+ (* -1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)) x)))))
(* (pow x 3) (- (/ 1 (pow x 3)) (+ (* -1 (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (pow x 2))) (+ (* -1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)) x))))))
(* 1/6 (* (pow x 3) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(* -1 (* (pow x 3) (- (* 1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)) x)) (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)))) x)) (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)))) x)) (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))))
(- (* 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)
(* -1/6 (* (pow x 3) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(* (pow x 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)) x))))
(* (pow x 3) (+ (* -1 (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (pow x 2))) (+ (* -1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)) x)))))
(* (pow x 3) (- (+ (* -1 (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (pow x 2))) (+ (* -1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))) (+ (* 1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)) x)) (/ 1/2 (* eps (pow x 3)))))) (* 1/2 (/ 1 (pow x 3)))))
(* -1/6 (* (pow x 3) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)) x)) (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)))) x)) (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 eps)) 1/2) x)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)))) x)) (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))))
(* 1/2 (/ (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) eps))
(/ (+ (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (* eps (+ (* -1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (* 1/2 (* x (- (* x (+ 1 (* -1/2 x))) 1)))))) eps)
(/ (+ (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (* eps (+ (* -1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (+ (* 1/2 (* x (- (* x (+ 1 (* -1/2 x))) 1))) (* eps (+ (* -1/2 (* x (- (* x (+ 1 (* -1/2 x))) 1))) (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))))))))) eps)
(/ (+ (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (* eps (+ (* -1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (+ (* 1/2 (* x (- (* x (+ 1 (* -1/2 x))) 1))) (* eps (+ (* -1/2 (* x (- (* x (+ 1 (* -1/2 x))) 1))) (+ (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* eps (+ (* -1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* -1/12 (pow x 3))))))))))) eps)
(* 1/12 (* (pow eps 3) (pow x 3)))
(* (pow eps 3) (+ (* -1/2 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps)) (+ (* -1/12 (/ (pow x 3) eps)) (* 1/12 (pow x 3)))))
(* (pow eps 3) (+ (* -1/2 (/ (* x (- (* x (+ 1 (* -1/2 x))) 1)) (pow eps 2))) (+ (* -1/2 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps)) (+ (* -1/12 (/ (pow x 3) eps)) (+ (* 1/12 (pow x 3)) (* 1/2 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow eps 2))))))))
(* (pow eps 3) (+ (* -1/2 (/ (* x (- (* x (+ 1 (* -1/2 x))) 1)) (pow eps 2))) (+ (* -1/2 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps)) (+ (* -1/2 (/ (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) (pow eps 3))) (+ (* -1/12 (/ (pow x 3) eps)) (+ (* 1/12 (pow x 3)) (+ (* 1/2 (/ (* x (- (* x (+ 1 (* -1/2 x))) 1)) (pow eps 3))) (* 1/2 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow eps 2))))))))))
(* 1/12 (* (pow eps 3) (pow x 3)))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* -1/12 (pow x 3))) eps)) (* -1/12 (pow x 3)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* x (+ 1 (* x (- (* 1/2 x) 1))))) (* -1/2 (* (pow x 2) (+ 1/2 (* -1/2 x))))) eps)) (+ (* -1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* -1/12 (pow x 3)))) eps)) (* -1/12 (pow x 3)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* x (+ 1 (* x (- (* 1/2 x) 1))))) (* -1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))) eps)) (+ (* -1/2 (* x (+ 1 (* x (- (* 1/2 x) 1))))) (* -1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))))) eps)) (+ (* -1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* -1/12 (pow x 3)))) eps)) (* -1/12 (pow x 3)))))
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)))))))
(* -1/6 (* (pow x 3) (pow (+ 1 eps) 3)))
(* (pow x 3) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))
(* (pow x 3) (+ (* -1 (/ (+ 1 eps) (pow x 2))) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x)))))
(* (pow x 3) (- (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/2 (/ (pow (+ 1 eps) 2) x)) (/ 1 (pow x 3)))) (+ (/ 1 (pow x 2)) (/ eps (pow x 2)))))
(* -1/6 (* (pow x 3) (pow (+ 1 eps) 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow (+ 1 eps) 2) x)) (* 1/6 (pow (+ 1 eps) 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))) x)) (* 1/6 (pow (+ 1 eps) 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (+ 1 eps) (/ 1 x)) x)) (* 1/2 (pow (+ 1 eps) 2))) x)) (* 1/6 (pow (+ 1 eps) 3)))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(+ 1 (+ (* eps (* x (- (* x (+ 1 (* -1/2 x))) 1))) (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))
(+ 1 (+ (* eps (+ (* eps (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* x (- (* x (+ 1 (* -1/2 x))) 1)))) (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))
(+ 1 (+ (* eps (+ (* eps (+ (* -1/6 (* eps (pow x 3))) (* (pow x 2) (+ 1/2 (* -1/2 x))))) (* x (- (* x (+ 1 (* -1/2 x))) 1)))) (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))
(* -1/6 (* (pow eps 3) (pow x 3)))
(* (pow eps 3) (+ (* -1/6 (pow x 3)) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps)))
(* (pow eps 3) (+ (* -1/6 (pow x 3)) (+ (/ (* x (- (* x (+ 1 (* -1/2 x))) 1)) (pow eps 2)) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps))))
(* (pow eps 3) (+ (* -1/6 (pow x 3)) (+ (/ 1 (pow eps 3)) (+ (/ (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) (pow eps 3)) (+ (/ (* x (- (* x (+ 1 (* -1/2 x))) 1)) (pow eps 2)) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps))))))
(* -1/6 (* (pow eps 3) (pow x 3)))
(* -1 (* (pow eps 3) (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps)) (* 1/6 (pow x 3)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (* x (+ 1 (* x (- (* 1/2 x) 1)))) eps)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) eps)) (* 1/6 (pow x 3)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) eps)) (* x (+ 1 (* x (- (* 1/2 x) 1))))) eps)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) eps)) (* 1/6 (pow x 3)))))
(* -1 (* x (+ 1 eps)))
(* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2)))))
(* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))))
(* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))))
(* -1/6 (* (pow x 3) (pow (+ 1 eps) 3)))
(* (pow x 3) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))
(* (pow x 3) (+ (* -1 (/ (+ 1 eps) (pow x 2))) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x)))))
(* (pow x 3) (+ (* -1 (/ (+ 1 eps) (pow x 2))) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x)))))
(* -1/6 (* (pow x 3) (pow (+ 1 eps) 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow (+ 1 eps) 2) x)) (* 1/6 (pow (+ 1 eps) 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))) x)) (* 1/6 (pow (+ 1 eps) 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))) x)) (* 1/6 (pow (+ 1 eps) 3)))))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(+ (* eps (* x (- (* x (+ 1 (* -1/2 x))) 1))) (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(+ (* eps (+ (* eps (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* x (- (* x (+ 1 (* -1/2 x))) 1)))) (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(+ (* eps (+ (* eps (+ (* -1/6 (* eps (pow x 3))) (* (pow x 2) (+ 1/2 (* -1/2 x))))) (* x (- (* x (+ 1 (* -1/2 x))) 1)))) (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(* -1/6 (* (pow eps 3) (pow x 3)))
(* (pow eps 3) (+ (* -1/6 (pow x 3)) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps)))
(* (pow eps 3) (+ (* -1/6 (pow x 3)) (+ (/ (* x (- (* x (+ 1 (* -1/2 x))) 1)) (pow eps 2)) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps))))
(* (pow eps 3) (+ (* -1/6 (pow x 3)) (+ (/ (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) (pow eps 3)) (+ (/ (* x (- (* x (+ 1 (* -1/2 x))) 1)) (pow eps 2)) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps)))))
(* -1/6 (* (pow eps 3) (pow x 3)))
(* -1 (* (pow eps 3) (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps)) (* 1/6 (pow x 3)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (* x (+ 1 (* x (- (* 1/2 x) 1)))) eps)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) eps)) (* 1/6 (pow x 3)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) eps)) (* x (+ 1 (* x (- (* 1/2 x) 1))))) eps)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) eps)) (* 1/6 (pow x 3)))))
1
(+ 1 (* -1/2 (* x (+ 1 eps))))
(+ 1 (* x (+ (* -1/2 (+ 1 eps)) (* 1/4 (* x (pow (+ 1 eps) 2))))))
(+ 1 (* x (+ (* -1/2 (+ 1 eps)) (* x (+ (* -1/12 (* x (pow (+ 1 eps) 3))) (* 1/4 (pow (+ 1 eps) 2)))))))
(+ 1/2 (* 1/2 (exp (* -1 (* x (+ 1 eps))))))
(+ 1/2 (* 1/2 (exp (* -1 (* x (+ 1 eps))))))
(+ 1/2 (* 1/2 (exp (* -1 (* x (+ 1 eps))))))
(+ 1/2 (* 1/2 (exp (* -1 (* x (+ 1 eps))))))
(+ 1/2 (* 1/2 (exp (* -1 (* x (+ 1 eps))))))
(+ 1/2 (* 1/2 (exp (* -1 (* x (+ 1 eps))))))
(+ 1/2 (* 1/2 (exp (* -1 (* x (+ 1 eps))))))
(+ 1/2 (* 1/2 (exp (* -1 (* x (+ 1 eps))))))
(+ 1/2 (* 1/2 (exp (* -1 x))))
(+ 1/2 (+ (* -1/2 (* eps (* x (exp (* -1 x))))) (* 1/2 (exp (* -1 x)))))
(+ 1/2 (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* -1/2 (* x (exp (* -1 x)))) (* 1/4 (* eps (* (pow x 2) (exp (* -1 x)))))))))
(+ 1/2 (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* -1/2 (* x (exp (* -1 x)))) (* eps (+ (* -1/12 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/4 (* (pow x 2) (exp (* -1 x))))))))))
(+ 1/2 (* 1/2 (exp (* -1 (* x (+ 1 eps))))))
(+ 1/2 (* 1/2 (exp (* -1 (* x (+ 1 eps))))))
(+ 1/2 (* 1/2 (exp (* -1 (* x (+ 1 eps))))))
(+ 1/2 (* 1/2 (exp (* -1 (* x (+ 1 eps))))))
(+ 1/2 (* 1/2 (exp (* x (- (* -1 eps) 1)))))
(+ 1/2 (* 1/2 (exp (* x (- (* -1 eps) 1)))))
(+ 1/2 (* 1/2 (exp (* x (- (* -1 eps) 1)))))
(+ 1/2 (* 1/2 (exp (* x (- (* -1 eps) 1)))))
1/2
(+ 1/2 (* -1/2 (* x (+ 1 eps))))
(+ 1/2 (* x (+ (* -1/2 (+ 1 eps)) (* 1/4 (* x (pow (+ 1 eps) 2))))))
(+ 1/2 (* x (+ (* -1/2 (+ 1 eps)) (* x (+ (* -1/12 (* x (pow (+ 1 eps) 3))) (* 1/4 (pow (+ 1 eps) 2)))))))
(* 1/2 (exp (* -1 (* x (+ 1 eps)))))
(* 1/2 (exp (* -1 (* x (+ 1 eps)))))
(* 1/2 (exp (* -1 (* x (+ 1 eps)))))
(* 1/2 (exp (* -1 (* x (+ 1 eps)))))
(* 1/2 (exp (* -1 (* x (+ 1 eps)))))
(* 1/2 (exp (* -1 (* x (+ 1 eps)))))
(* 1/2 (exp (* -1 (* x (+ 1 eps)))))
(* 1/2 (exp (* -1 (* x (+ 1 eps)))))
(* 1/2 (exp (* -1 x)))
(+ (* -1/2 (* eps (* x (exp (* -1 x))))) (* 1/2 (exp (* -1 x))))
(+ (* 1/2 (exp (* -1 x))) (* eps (+ (* -1/2 (* x (exp (* -1 x)))) (* 1/4 (* eps (* (pow x 2) (exp (* -1 x))))))))
(+ (* 1/2 (exp (* -1 x))) (* eps (+ (* -1/2 (* x (exp (* -1 x)))) (* eps (+ (* -1/12 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/4 (* (pow x 2) (exp (* -1 x)))))))))
(* 1/2 (exp (* -1 (* x (+ 1 eps)))))
(* 1/2 (exp (* -1 (* x (+ 1 eps)))))
(* 1/2 (exp (* -1 (* x (+ 1 eps)))))
(* 1/2 (exp (* -1 (* x (+ 1 eps)))))
(* 1/2 (exp (* x (- (* -1 eps) 1))))
(* 1/2 (exp (* x (- (* -1 eps) 1))))
(* 1/2 (exp (* x (- (* -1 eps) 1))))
(* 1/2 (exp (* x (- (* -1 eps) 1))))
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 (* 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))))
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(+ 1/2 (* -1/6 x))
(+ 1/2 (+ (* -1/6 x) (* eps (+ 1 (* -1/2 x)))))
(+ 1/2 (+ (* -1/6 x) (* eps (+ 1 (+ (* -1/2 x) (* eps (+ 1/2 (* -1/2 x))))))))
(+ 1/2 (+ (* -1/6 x) (* eps (+ 1 (+ (* -1/2 x) (* eps (+ 1/2 (+ (* -1/2 x) (* -1/6 (* eps x))))))))))
(* -1/6 (* (pow eps 3) x))
(* (pow eps 3) (+ (* -1/2 (/ x eps)) (+ (* -1/6 x) (* 1/2 (/ 1 eps)))))
(* (pow eps 3) (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/6 x) (+ (* 1/2 (/ 1 eps)) (/ 1 (pow eps 2)))))))
(* (pow eps 3) (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/6 x) (+ (* -1/6 (/ x (pow eps 3))) (+ (* 1/2 (/ 1 eps)) (+ (/ 1 (pow eps 2)) (* 1/2 (/ 1 (pow eps 3))))))))))
(* -1/6 (* (pow eps 3) x))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/2 (* -1/2 x)) eps)) (* 1/6 x))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- (* 1/2 x) 1) eps)) (* -1/2 x))) eps)) (* 1/6 x))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- (+ (* -1 (/ (+ 1/2 (* -1/6 x)) eps)) (* 1/2 x)) 1) eps)) (* -1/2 x))) eps)) (* 1/6 x))))
(* 1/2 (pow (+ 1 eps) 2))
(+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))
(+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))
(+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(* -1 (* x (+ (* -1/2 (/ (pow (+ 1 eps) 2) x)) (* 1/6 (pow (+ 1 eps) 3)))))
(* -1 (* x (+ (* -1/2 (/ (pow (+ 1 eps) 2) x)) (* 1/6 (pow (+ 1 eps) 3)))))
(* -1 (* x (+ (* -1/2 (/ (pow (+ 1 eps) 2) x)) (* 1/6 (pow (+ 1 eps) 3)))))
(* 1/2 (* x (pow (+ 1 eps) 2)))
(* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))
(* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))
(* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))
(* -1/6 (* (pow x 2) (pow (+ 1 eps) 3)))
(* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))
(* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))
(* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))
(* -1/6 (* (pow x 2) (pow (+ 1 eps) 3)))
(* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))
(* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))
(* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))
(* x (+ 1/2 (* -1/6 x)))
(+ (* eps (* x (+ 1 (* -1/2 x)))) (* x (+ 1/2 (* -1/6 x))))
(+ (* eps (+ (* eps (* x (+ 1/2 (* -1/2 x)))) (* x (+ 1 (* -1/2 x))))) (* x (+ 1/2 (* -1/6 x))))
(+ (* eps (+ (* eps (+ (* -1/6 (* eps (pow x 2))) (* x (+ 1/2 (* -1/2 x))))) (* x (+ 1 (* -1/2 x))))) (* x (+ 1/2 (* -1/6 x))))
(* -1/6 (* (pow eps 3) (pow x 2)))
(* (pow eps 3) (+ (* -1/6 (pow x 2)) (/ (* x (+ 1/2 (* -1/2 x))) eps)))
(* (pow eps 3) (+ (* -1/6 (pow x 2)) (+ (/ (* x (+ 1/2 (* -1/2 x))) eps) (/ (* x (+ 1 (* -1/2 x))) (pow eps 2)))))
(* (pow eps 3) (+ (* -1/6 (pow x 2)) (+ (/ (* x (+ 1/2 (* -1/2 x))) eps) (+ (/ (* x (+ 1/2 (* -1/6 x))) (pow eps 3)) (/ (* x (+ 1 (* -1/2 x))) (pow eps 2))))))
(* -1/6 (* (pow eps 3) (pow x 2)))
(* -1 (* (pow eps 3) (+ (* -1 (/ (* x (+ 1/2 (* -1/2 x))) eps)) (* 1/6 (pow x 2)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* 1/2 x) 1)) eps)) (* x (+ 1/2 (* -1/2 x)))) eps)) (* 1/6 (pow x 2)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (+ 1/2 (* -1/6 x))) eps)) (* x (- (* 1/2 x) 1))) eps)) (* x (+ 1/2 (* -1/2 x)))) eps)) (* 1/6 (pow x 2)))))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(* -1/6 x)
(+ (* -1/2 (* eps x)) (* -1/6 x))
(+ (* -1/6 x) (* eps (+ (* -1/2 x) (* -1/2 (* eps x)))))
(+ (* -1/6 x) (* eps (+ (* -1/2 x) (* eps (+ (* -1/2 x) (* -1/6 (* eps x)))))))
(* -1/6 (* (pow eps 3) x))
(* (pow eps 3) (+ (* -1/2 (/ x eps)) (* -1/6 x)))
(* (pow eps 3) (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ x (pow eps 2))) (* -1/6 x))))
(* (pow eps 3) (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/6 x) (* -1/6 (/ x (pow eps 3)))))))
(* -1/6 (* (pow eps 3) x))
(* -1 (* (pow eps 3) (+ (* 1/6 x) (* 1/2 (/ x eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 x) (* -1/2 (/ x eps))) eps)) (* 1/6 x))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ x eps)) (* 1/2 x)) eps)) (* -1/2 x)) eps)) (* 1/6 x))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (+ eps (* -1 (+ 1 eps))))))
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(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) eps))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* 1/2 x) 1)) eps)) (* x (+ 1/2 (* -1/2 x)))) eps)) (* 1/6 (pow x 2)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) eps)) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (+ 1/2 (* -1/6 x))) eps)) (* x (- (* 1/2 x) 1))) eps)) (* x (+ 1/2 (* -1/2 x)))) eps)) (* 1/6 (pow x 2)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) eps)) eps)) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps))))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(+ (* -1/2 (* eps x)) (* -1/6 x))
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) eps)))
(+ (* -1/6 x) (* eps (+ (* -1/2 x) (* -1/2 (* eps x)))))
(+.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 eps (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)))))
(+ (* -1/6 x) (* eps (+ (* -1/2 x) (* eps (+ (* -1/2 x) (* -1/6 (* eps x)))))))
(+.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 eps (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) eps)))))))
(* -1/6 (* (pow eps 3) x))
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps))))
(* (pow eps 3) (+ (* -1/2 (/ x eps)) (* -1/6 x)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 x #s(literal -1/2 binary64)) eps)))
(* (pow eps 3) (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ x (pow eps 2))) (* -1/6 x))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x eps) (/.f64 x (*.f64 eps eps)))) (*.f64 x #s(literal -1/6 binary64))))
(* (pow eps 3) (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/6 x) (* -1/6 (/ x (pow eps 3)))))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x eps) (/.f64 x (*.f64 eps eps)))) (*.f64 #s(literal -1/6 binary64) (+.f64 x (/.f64 x (*.f64 eps (*.f64 eps eps)))))))
(* -1/6 (* (pow eps 3) x))
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* 1/6 x) (* 1/2 (/ x eps)))))
(*.f64 (+.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 x) (* -1/2 (/ x eps))) eps)) (* 1/6 x))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 x eps))) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ x eps)) (* 1/2 x)) eps)) (* -1/2 x)) eps)) (* 1/6 x))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (neg.f64 (-.f64 (*.f64 x #s(literal 1/6 binary64)) (/.f64 (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) (/.f64 x eps))) eps)) eps))))

eval233.0ms (1.4%)

Compiler

Compiled 39910 to 2986 computations (92.5% saved)

prune185.0ms (1.1%)

Pruning

38 alts after pruning (35 fresh and 3 done)

PrunedKeptTotal
New1097231120
Fresh141226
Picked325
Done011
Total1114381152
Accuracy
100.0%
Counts
1152 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
4.8%
(/.f64 (-.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))))) (*.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 (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 (*.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 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))
12.3%
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64))))) eps)
42.6%
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64))))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))))))
14.2%
(-.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 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))))))) x) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
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 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (*.f64 eps (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
25.1%
(-.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 (*.f64 x x) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
29.1%
(-.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 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))) (+.f64 eps #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
26.5%
(-.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 #s(literal -1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
18.7%
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) x))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
38.8%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/6 binary64) eps))))) x))))) (-.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))))
34.0%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
51.3%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) (+.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))))
24.0%
(-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x x))))) (-.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))))
29.6%
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) x))) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/6 binary64) eps)))))) (+.f64 (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal -1/6 binary64))))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))))))))
34.6%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
▶53.8%
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (-.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))) (*.f64 eps (*.f64 x (+.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (+.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)))))) eps)))
▶70.9%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))
52.0%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/4 binary64)))))))
47.9%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64))))
71.2%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))))
✓61.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
56.6%
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
27.7%
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/4 binary64))) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64))) eps)) (*.f64 x x))
17.7%
(*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)))
9.6%
(*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64))) eps)))
35.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
18.0%
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
20.5%
(*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
19.4%
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
▶85.7%
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
59.5%
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps))))))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
62.9%
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
✓85.7%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
66.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
17.2%
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
▶69.0%
(exp.f64 (-.f64 #s(literal 0 binary64) x))
✓43.4%
#s(literal 1 binary64)
▶14.9%
#s(literal 0 binary64)
Compiler

Compiled 2506 to 1281 computations (48.9% saved)

simplify183.0ms (1.1%)

Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 #s(literal 0 binary64) x)
✓cost-diff0
(exp.f64 (-.f64 #s(literal 0 binary64) x))
✓cost-diff1536
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (-.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))) (*.f64 eps (*.f64 x (+.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (+.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64))))))
✓cost-diff1536
(/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (-.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))) (*.f64 eps (*.f64 x (+.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (+.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)))))) eps)
✓cost-diff1536
(*.f64 x (/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (-.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))) (*.f64 eps (*.f64 x (+.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (+.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)))))) eps))
✓cost-diff1536
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (-.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))) (*.f64 eps (*.f64 x (+.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (+.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)))))) eps)))
✓cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64))
✓cost-diff256
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
✓cost-diff256
(*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))
✓cost-diff256
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))
✓cost-diff0
(*.f64 x (/.f64 eps #s(literal 2 binary64)))
✓cost-diff0
(exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64))))
✓cost-diff13184
(fma.f64 (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
✓cost-diff13184
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Rules
2442×+-lowering-+.f64
2442×+-lowering-+.f32
2070×*-lowering-*.f32
2070×*-lowering-*.f64
1584×sum3-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
049392
1153345
2553284
32373254
47235238
08191238
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* 1/2 (+ (* (exp (* x (/ eps 2))) (exp (* x (/ eps 2)))) (exp (* x (- -1 eps)))))
1/2
(+ (* (exp (* x (/ eps 2))) (exp (* x (/ eps 2)))) (exp (* x (- -1 eps))))
(exp (* x (/ eps 2)))
(* x (/ eps 2))
x
(/ eps 2)
eps
2
(exp (* x (- -1 eps)))
(* x (- -1 eps))
(- -1 eps)
-1
0
(+ 1 (* x (+ (* (+ 1 eps) -1/2) (* (* 1/4 x) (* (+ 1 eps) (+ 1 eps))))))
1
(* x (+ (* (+ 1 eps) -1/2) (* (* 1/4 x) (* (+ 1 eps) (+ 1 eps)))))
x
(+ (* (+ 1 eps) -1/2) (* (* 1/4 x) (* (+ 1 eps) (+ 1 eps))))
(* (+ 1 eps) -1/2)
(+ 1 eps)
eps
-1/2
(* (* 1/4 x) (* (+ 1 eps) (+ 1 eps)))
(* 1/4 x)
1/4
(* (+ 1 eps) (+ 1 eps))
(+ 1 (* x (/ (+ (* x (+ (* 1/2 (+ 1/2 (* x -1/6))) (- (* x 1/12) 1/4))) (* eps (* x (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4))))) eps)))
1
(* x (/ (+ (* x (+ (* 1/2 (+ 1/2 (* x -1/6))) (- (* x 1/12) 1/4))) (* eps (* x (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4))))) eps))
x
(/ (+ (* x (+ (* 1/2 (+ 1/2 (* x -1/6))) (- (* x 1/12) 1/4))) (* eps (* x (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4))))) eps)
(+ (* x (+ (* 1/2 (+ 1/2 (* x -1/6))) (- (* x 1/12) 1/4))) (* eps (* x (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4)))))
(* x (+ (* 1/2 (+ 1/2 (* x -1/6))) (- (* x 1/12) 1/4)))
(+ (* 1/2 (+ 1/2 (* x -1/6))) (- (* x 1/12) 1/4))
(* 1/2 (+ 1/2 (* x -1/6)))
1/2
(+ 1/2 (* x -1/6))
(* x -1/6)
-1/6
(- (* x 1/12) 1/4)
(* x 1/12)
1/12
1/4
(* eps (* x (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4))))
eps
(* x (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4)))
(+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4))
(+ -1/4 (* -1/2 (* x -1/6)))
-1/4
(* -1/2 (* x -1/6))
-1/2
(+ (* x 1/4) -1/4)
(* x 1/4)
(exp (- 0 x))
(- 0 x)
0
x
Outputs
(* 1/2 (+ (* (exp (* x (/ eps 2))) (exp (* x (/ eps 2)))) (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 2))) (exp (* x (/ eps 2)))) (exp (* x (- -1 eps))))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(exp (* x (/ eps 2)))
(exp.f64 (/.f64 (*.f64 x eps) #s(literal 2 binary64)))
(* x (/ eps 2))
(/.f64 (*.f64 x eps) #s(literal 2 binary64))
x
(/ eps 2)
(/.f64 eps #s(literal 2 binary64))
eps
2
#s(literal 2 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)
0
#s(literal 0 binary64)
(+ 1 (* x (+ (* (+ 1 eps) -1/2) (* (* 1/4 x) (* (+ 1 eps) (+ 1 eps))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 eps #s(literal 1/4 binary64)))))))
1
#s(literal 1 binary64)
(* x (+ (* (+ 1 eps) -1/2) (* (* 1/4 x) (* (+ 1 eps) (+ 1 eps)))))
(*.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 eps #s(literal 1/4 binary64))))))
x
(+ (* (+ 1 eps) -1/2) (* (* 1/4 x) (* (+ 1 eps) (+ 1 eps))))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 eps #s(literal 1/4 binary64))))))
(* (+ 1 eps) -1/2)
(*.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal -1/2 binary64))
(+ 1 eps)
(+.f64 eps #s(literal 1 binary64))
eps
-1/2
#s(literal -1/2 binary64)
(* (* 1/4 x) (* (+ 1 eps) (+ 1 eps)))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 eps #s(literal 1/4 binary64)))))
(* 1/4 x)
(*.f64 x #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(* (+ 1 eps) (+ 1 eps))
(+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 eps #s(literal -2 binary64))))
(+ 1 (* x (/ (+ (* x (+ (* 1/2 (+ 1/2 (* x -1/6))) (- (* x 1/12) 1/4))) (* eps (* x (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4))))) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x eps)) eps)))
1
#s(literal 1 binary64)
(* x (/ (+ (* x (+ (* 1/2 (+ 1/2 (* x -1/6))) (- (* x 1/12) 1/4))) (* eps (* x (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4))))) eps))
(*.f64 x (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x eps)) eps))
x
(/ (+ (* x (+ (* 1/2 (+ 1/2 (* x -1/6))) (- (* x 1/12) 1/4))) (* eps (* x (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4))))) eps)
(/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x eps)) eps)
(+ (* x (+ (* 1/2 (+ 1/2 (* x -1/6))) (- (* x 1/12) 1/4))) (* eps (* x (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4)))))
(*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x eps))
(* x (+ (* 1/2 (+ 1/2 (* x -1/6))) (- (* x 1/12) 1/4)))
#s(literal 0 binary64)
(+ (* 1/2 (+ 1/2 (* x -1/6))) (- (* x 1/12) 1/4))
#s(literal 0 binary64)
(* 1/2 (+ 1/2 (* x -1/6)))
(+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64)))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* x -1/6))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))
(* x -1/6)
(*.f64 x #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(- (* x 1/12) 1/4)
(-.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal -1/12 binary64)))
(* x 1/12)
(*.f64 x #s(literal 1/12 binary64))
1/12
#s(literal 1/12 binary64)
1/4
#s(literal 1/4 binary64)
(* eps (* x (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4))))
(*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x eps))
eps
(* x (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4)))
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))
(+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4))
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))
(+ -1/4 (* -1/2 (* x -1/6)))
(-.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal -1/12 binary64)))
-1/4
#s(literal -1/4 binary64)
(* -1/2 (* x -1/6))
(*.f64 x #s(literal 1/12 binary64))
-1/2
#s(literal -1/2 binary64)
(+ (* x 1/4) -1/4)
(+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/4 binary64)))
(* x 1/4)
(*.f64 x #s(literal 1/4 binary64))
(exp (- 0 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
x

localize659.0ms (3.9%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) x)
✓accuracy100.0%
(exp.f64 (-.f64 #s(literal 0 binary64) x))
✓accuracy99.5%
(*.f64 x #s(literal 1/12 binary64))
✓accuracy99.5%
(*.f64 x #s(literal -1/6 binary64))
✓accuracy95.9%
(*.f64 eps (*.f64 x (+.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (+.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)))))
✓accuracy80.5%
(/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (-.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))) (*.f64 eps (*.f64 x (+.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (+.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)))))) eps)
✓accuracy100.0%
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
✓accuracy100.0%
(*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
✓accuracy95.9%
(*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))
✓accuracy91.9%
(*.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
✓accuracy100.0%
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
✓accuracy100.0%
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
✓accuracy100.0%
(fma.f64 (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
✓accuracy100.0%
(exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64))))
Results
343.0ms130×2valid
124.0ms46×3valid
80.0ms79×1valid
3.0ms1×5exit
Compiler

Compiled 446 to 49 computations (89% saved)

Precisions
Click to see histograms. Total time spent on operations: 393.0ms
ival-mult: 138.0ms (35.1% of total)
ival-add: 62.0ms (15.8% of total)
backward-pass: 60.0ms (15.3% of total)
ival-exp: 53.0ms (13.5% of total)
...c/correct-round.rkt:119:19: 47.0ms (11.9% of total)
ival-div: 12.0ms (3.1% of total)
ival-sub: 9.0ms (2.3% of total)
compiled-spec: 9.0ms (2.3% of total)
const: 3.0ms (0.8% of total)

series48.0ms (0.3%)

Counts
21 → 432
Calls
Call 1
Inputs
#<alt (* 1/2 (+ (* (exp (* x (/ eps 2))) (exp (* x (/ eps 2)))) (exp (* x (- -1 eps)))))>
#<alt (+ (* (exp (* x (/ eps 2))) (exp (* x (/ eps 2)))) (exp (* x (- -1 eps))))>
#<alt (exp (* x (/ eps 2)))>
#<alt (* x (/ eps 2))>
#<alt (+ 1 (* x (+ (* (+ 1 eps) -1/2) (* (* 1/4 x) (* (+ 1 eps) (+ 1 eps))))))>
#<alt (* x (+ (* (+ 1 eps) -1/2) (* (* 1/4 x) (* (+ 1 eps) (+ 1 eps)))))>
#<alt (+ (* (+ 1 eps) -1/2) (* (* 1/4 x) (* (+ 1 eps) (+ 1 eps))))>
#<alt (* (+ 1 eps) -1/2)>
#<alt (+ 1 (* x (/ (+ (* x (+ (* 1/2 (+ 1/2 (* x -1/6))) (- (* x 1/12) 1/4))) (* eps (* x (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4))))) eps)))>
#<alt (* x (/ (+ (* x (+ (* 1/2 (+ 1/2 (* x -1/6))) (- (* x 1/12) 1/4))) (* eps (* x (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4))))) eps))>
#<alt (/ (+ (* x (+ (* 1/2 (+ 1/2 (* x -1/6))) (- (* x 1/12) 1/4))) (* eps (* x (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4))))) eps)>
#<alt (+ (* x (+ (* 1/2 (+ 1/2 (* x -1/6))) (- (* x 1/12) 1/4))) (* eps (* x (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4)))))>
#<alt (exp (- 0 x))>
#<alt (- 0 x)>
#<alt (exp (* x (- -1 eps)))>
#<alt (* x (- -1 eps))>
#<alt (* (* 1/4 x) (* (+ 1 eps) (+ 1 eps)))>
#<alt (* (+ 1 eps) (+ 1 eps))>
#<alt (* eps (* x (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4))))>
#<alt (* x -1/6)>
#<alt (* x 1/12)>
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)))))))>
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#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (/ (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps)>
#<alt (/ (+ (* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2))) (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4))) eps)>
#<alt (/ (+ (* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2))) (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4))) eps)>
#<alt (/ (+ (* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2))) (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4))) eps)>
#<alt (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2))>
#<alt (+ (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)) (/ (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps))>
#<alt (+ (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)) (/ (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps))>
#<alt (+ (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)) (/ (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps))>
#<alt (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2))>
#<alt (+ (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)) (/ (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps))>
#<alt (+ (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)) (/ (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps))>
#<alt (+ (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)) (/ (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps))>
#<alt (* -1/2 (* eps x))>
#<alt (* x (+ (* -1/2 eps) (* 1/3 (* eps x))))>
#<alt (* x (+ (* -1/2 eps) (* 1/3 (* eps x))))>
#<alt (* x (+ (* -1/2 eps) (* 1/3 (* eps x))))>
#<alt (* 1/3 (* eps (pow x 2)))>
#<alt (* (pow x 2) (+ (* -1/2 (/ eps x)) (* 1/3 eps)))>
#<alt (* (pow x 2) (+ (* -1/2 (/ eps x)) (* 1/3 eps)))>
#<alt (* (pow x 2) (+ (* -1/2 (/ eps x)) (* 1/3 eps)))>
#<alt (* 1/3 (* eps (pow x 2)))>
#<alt (* (pow x 2) (+ (* -1/2 (/ eps x)) (* 1/3 eps)))>
#<alt (* (pow x 2) (+ (* -1/2 (/ eps x)) (* 1/3 eps)))>
#<alt (* (pow x 2) (+ (* -1/2 (/ eps x)) (* 1/3 eps)))>
#<alt (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4))>
#<alt (+ (* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2))) (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)))>
#<alt (+ (* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2))) (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)))>
#<alt (+ (* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2))) (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)))>
#<alt (* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))>
#<alt (* eps (+ (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)) (/ (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps)))>
#<alt (* eps (+ (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)) (/ (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps)))>
#<alt (* eps (+ (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)) (/ (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps)))>
#<alt (* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))>
#<alt (* -1 (* eps (+ (* -1 (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2))) (* -1 (/ (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps)))))>
#<alt (* -1 (* eps (+ (* -1 (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2))) (* -1 (/ (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps)))))>
#<alt (* -1 (* eps (+ (* -1 (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2))) (* -1 (/ (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps)))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<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 (* 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 (* 1/4 (* x (pow (+ 1 eps) 2)))>
#<alt (* 1/4 (* x (pow (+ 1 eps) 2)))>
#<alt (* 1/4 (* x (pow (+ 1 eps) 2)))>
#<alt (* 1/4 (* x (pow (+ 1 eps) 2)))>
#<alt (* 1/4 (* x (pow (+ 1 eps) 2)))>
#<alt (* 1/4 (* x (pow (+ 1 eps) 2)))>
#<alt (* 1/4 (* x (pow (+ 1 eps) 2)))>
#<alt (* 1/4 (* x (pow (+ 1 eps) 2)))>
#<alt (* 1/4 (* x (pow (+ 1 eps) 2)))>
#<alt (* 1/4 (* x (pow (+ 1 eps) 2)))>
#<alt (* 1/4 (* x (pow (+ 1 eps) 2)))>
#<alt (* 1/4 (* x (pow (+ 1 eps) 2)))>
#<alt (* 1/4 x)>
#<alt (+ (* 1/4 x) (* 1/2 (* eps x)))>
#<alt (+ (* 1/4 x) (* eps (+ (* 1/4 (* eps x)) (* 1/2 x))))>
#<alt (+ (* 1/4 x) (* eps (+ (* 1/4 (* eps x)) (* 1/2 x))))>
#<alt (* 1/4 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* 1/4 x) (* 1/2 (/ x eps))))>
#<alt (* (pow eps 2) (+ (* 1/4 x) (+ (* 1/4 (/ x (pow eps 2))) (* 1/2 (/ x eps)))))>
#<alt (* (pow eps 2) (+ (* 1/4 x) (+ (* 1/4 (/ x (pow eps 2))) (* 1/2 (/ x eps)))))>
#<alt (* 1/4 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* 1/4 x) (* 1/2 (/ x eps))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1/2 x) (* -1/4 (/ x eps))) eps)) (* 1/4 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1/2 x) (* -1/4 (/ x eps))) eps)) (* 1/4 x)))>
#<alt 1>
#<alt (+ 1 (* 2 eps))>
#<alt (+ 1 (* eps (+ 2 eps)))>
#<alt (+ 1 (* eps (+ 2 eps)))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (* 2 (/ 1 eps))))>
#<alt (* (pow eps 2) (+ 1 (+ (* 2 (/ 1 eps)) (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ 1 (+ (* 2 (/ 1 eps)) (/ 1 (pow eps 2)))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (* 2 (/ 1 eps))))>
#<alt (* (pow eps 2) (+ 1 (+ (* 2 (/ 1 eps)) (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ 1 (+ (* 2 (/ 1 eps)) (/ 1 (pow eps 2)))))>
#<alt (* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))>
#<alt (* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))>
#<alt (* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))>
#<alt (* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))>
#<alt (* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))>
#<alt (* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))>
#<alt (* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))>
#<alt (* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))>
#<alt (* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))>
#<alt (* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))>
#<alt (* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))>
#<alt (* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))>
#<alt (* -1/2 (* eps x))>
#<alt (* x (+ (* -1/2 eps) (* 1/3 (* eps x))))>
#<alt (* x (+ (* -1/2 eps) (* 1/3 (* eps x))))>
#<alt (* x (+ (* -1/2 eps) (* 1/3 (* eps x))))>
#<alt (* 1/3 (* eps (pow x 2)))>
#<alt (* (pow x 2) (+ (* -1/2 (/ eps x)) (* 1/3 eps)))>
#<alt (* (pow x 2) (+ (* -1/2 (/ eps x)) (* 1/3 eps)))>
#<alt (* (pow x 2) (+ (* -1/2 (/ eps x)) (* 1/3 eps)))>
#<alt (* 1/3 (* eps (pow x 2)))>
#<alt (* (pow x 2) (+ (* -1/2 (/ eps x)) (* 1/3 eps)))>
#<alt (* (pow x 2) (+ (* -1/2 (/ eps x)) (* 1/3 eps)))>
#<alt (* (pow x 2) (+ (* -1/2 (/ eps x)) (* 1/3 eps)))>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* -1/6 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
#<alt (* 1/12 x)>
Calls

108 calls:

TimeVariablePointExpression
13.0ms
x
@0
(+ 1 (* x (+ (* (+ 1 eps) -1/2) (* (* 1/4 x) (* (+ 1 eps) (+ 1 eps))))))
3.0ms
eps
@-inf
(+ 1 (* x (/ (+ (* x (+ (* 1/2 (+ 1/2 (* x -1/6))) (- (* x 1/12) 1/4))) (* eps (* x (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4))))) eps)))
1.0ms
eps
@0
(+ 1 (* x (/ (+ (* x (+ (* 1/2 (+ 1/2 (* x -1/6))) (- (* x 1/12) 1/4))) (* eps (* x (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4))))) eps)))
1.0ms
x
@-inf
(+ 1 (* x (/ (+ (* x (+ (* 1/2 (+ 1/2 (* x -1/6))) (- (* x 1/12) 1/4))) (* eps (* x (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4))))) eps)))
1.0ms
x
@inf
(* x (/ (+ (* x (+ (* 1/2 (+ 1/2 (* x -1/6))) (- (* x 1/12) 1/4))) (* eps (* x (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4))))) eps))

rewrite361.0ms (2.1%)

Algorithm
1×batch-egg-rewrite
Rules
3164×*-lowering-*.f32
3164×*-lowering-*.f64
2370×pow-lowering-pow.f64
2370×pow-lowering-pow.f32
1676×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049271
1330245
23485239
08567239
Stop Event
1×iter limit
1×node limit
Counts
21 → 349
Calls
Call 1
Inputs
(* 1/2 (+ (* (exp (* x (/ eps 2))) (exp (* x (/ eps 2)))) (exp (* x (- -1 eps)))))
(+ (* (exp (* x (/ eps 2))) (exp (* x (/ eps 2)))) (exp (* x (- -1 eps))))
(exp (* x (/ eps 2)))
(* x (/ eps 2))
(+ 1 (* x (+ (* (+ 1 eps) -1/2) (* (* 1/4 x) (* (+ 1 eps) (+ 1 eps))))))
(* x (+ (* (+ 1 eps) -1/2) (* (* 1/4 x) (* (+ 1 eps) (+ 1 eps)))))
(+ (* (+ 1 eps) -1/2) (* (* 1/4 x) (* (+ 1 eps) (+ 1 eps))))
(* (+ 1 eps) -1/2)
(+ 1 (* x (/ (+ (* x (+ (* 1/2 (+ 1/2 (* x -1/6))) (- (* x 1/12) 1/4))) (* eps (* x (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4))))) eps)))
(* x (/ (+ (* x (+ (* 1/2 (+ 1/2 (* x -1/6))) (- (* x 1/12) 1/4))) (* eps (* x (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4))))) eps))
(/ (+ (* x (+ (* 1/2 (+ 1/2 (* x -1/6))) (- (* x 1/12) 1/4))) (* eps (* x (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4))))) eps)
(+ (* x (+ (* 1/2 (+ 1/2 (* x -1/6))) (- (* x 1/12) 1/4))) (* eps (* x (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4)))))
(exp (- 0 x))
(- 0 x)
(exp (* x (- -1 eps)))
(* x (- -1 eps))
(* (* 1/4 x) (* (+ 1 eps) (+ 1 eps)))
(* (+ 1 eps) (+ 1 eps))
(* eps (* x (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4))))
(* x -1/6)
(* x 1/12)
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 (*.f64 #s(literal 1/8 binary64) (exp.f64 (*.f64 (/.f64 x (/.f64 #s(literal 2 binary64) eps)) #s(literal 6 binary64)))) (*.f64 #s(literal 1/8 binary64) (exp.f64 (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64)))))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (/.f64 x (/.f64 #s(literal 2 binary64) eps)) #s(literal 6 binary64))) (exp.f64 (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64)))))) (+.f64 (exp.f64 (*.f64 (/.f64 x (/.f64 #s(literal 2 binary64) eps)) #s(literal 4 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) eps))) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (/.f64 x (/.f64 #s(literal 2 binary64) eps)) #s(literal 4 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (/.f64 x (/.f64 #s(literal 2 binary64) eps)) #s(literal 6 binary64))) (exp.f64 (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64))))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (*.f64 (/.f64 x (/.f64 #s(literal 2 binary64) eps)) #s(literal 4 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) eps))) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (/.f64 x (/.f64 #s(literal 2 binary64) eps)) #s(literal 4 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (*.f64 x 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 (/.f64 #s(literal 2 binary64) eps)) #s(literal 4 binary64))) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(fma.f64 (exp.f64 (/.f64 x (/.f64 #s(literal 2 binary64) eps))) (exp.f64 (/.f64 x (/.f64 #s(literal 2 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 (/.f64 x (/.f64 #s(literal 2 binary64) eps)) #s(literal 4 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) eps))) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (+.f64 (exp.f64 (*.f64 (/.f64 x (/.f64 #s(literal 2 binary64) eps)) #s(literal 6 binary64))) (exp.f64 (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64)))))))
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(*.f64 x (log.f64 (exp.f64 (-.f64 #s(literal -1 binary64) eps))))
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(*.f64 (*.f64 x #s(literal 1/4 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) x)
(*.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64)))) (+.f64 eps #s(literal 1 binary64)))
(*.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) #s(literal 1/4 binary64))
(+.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 eps (+.f64 eps #s(literal 1 binary64))))
(+.f64 (*.f64 eps (+.f64 eps #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64)))
(exp.f64 (*.f64 (log1p.f64 eps) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 eps #s(literal 1 binary64)) (*.f64 eps (+.f64 eps #s(literal 1 binary64))))
(fma.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 eps #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 eps #s(literal 1 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 eps #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) eps)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 eps #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))
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(/.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.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 (+.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (-.f64 #s(literal 1 binary64) eps))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 eps #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) eps))
(pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log1p.f64 eps)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))
(*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 eps #s(literal 1 binary64))))) #s(literal 2 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)))
(*.f64 (exp.f64 (log1p.f64 eps)) (exp.f64 (log1p.f64 eps)))
(+.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 eps (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/4 binary64))))))
(+.f64 (*.f64 (*.f64 x eps) #s(literal -1/4 binary64)) (*.f64 (*.f64 x eps) (+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/4 binary64))))))
(+.f64 (*.f64 (*.f64 x eps) (+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/4 binary64))))) (*.f64 (*.f64 x eps) #s(literal -1/4 binary64)))
(+.f64 (*.f64 (*.f64 x eps) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/12 binary64)))) (*.f64 (*.f64 x eps) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/4 binary64)))))
(+.f64 (*.f64 (*.f64 x eps) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/4 binary64)))) (*.f64 (*.f64 x eps) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/12 binary64)))))
(+.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/12 binary64)))) eps) (*.f64 (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/4 binary64)))) eps))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x eps)) (*.f64 (+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/4 binary64)))) (*.f64 x eps)))
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(*.f64 x #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) x)
(*.f64 x #s(literal 1/12 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1/6 binary64))

simplify404.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
4602×*-lowering-*.f32
4602×*-lowering-*.f64
2620×+-lowering-+.f64
2620×+-lowering-+.f32
1870×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04145095
114724672
254504226
083484226
Stop Event
1×iter limit
1×node limit
Counts
432 → 432
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)) (+ (* 1/24 (pow eps 3)) (* 1/8 (pow eps 3)))))) (* 1/2 (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2)))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (pow (exp (* 1/2 (* eps x))) 2)))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (pow (exp (* 1/2 (* eps x))) 2)))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (pow (exp (* 1/2 (* eps x))) 2)))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (pow (exp (* 1/2 (* eps x))) 2)))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (pow (exp (* 1/2 (* eps x))) 2)))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (pow (exp (* 1/2 (* eps x))) 2)))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (pow (exp (* 1/2 (* eps x))) 2)))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (pow (exp (* 1/2 (* eps x))) 2)))
(* 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)))) (+ (* 1/24 (pow x 3)) (* 1/8 (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)))) (pow (exp (* 1/2 (* eps x))) 2)))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (pow (exp (* 1/2 (* eps x))) 2)))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (pow (exp (* 1/2 (* eps x))) 2)))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (pow (exp (* 1/2 (* eps x))) 2)))
(* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (pow (exp (* 1/2 (* eps x))) 2)))
(* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (pow (exp (* 1/2 (* eps x))) 2)))
(* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (pow (exp (* 1/2 (* eps x))) 2)))
(* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (pow (exp (* 1/2 (* eps x))) 2)))
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))))))))
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(+ (exp (* -1 (* x (+ 1 eps)))) (pow (exp (* 1/2 (* eps x))) 2))
(+ (exp (* -1 (* x (+ 1 eps)))) (pow (exp (* 1/2 (* eps x))) 2))
(+ (exp (* -1 (* x (+ 1 eps)))) (pow (exp (* 1/2 (* eps x))) 2))
(+ (exp (* -1 (* x (+ 1 eps)))) (pow (exp (* 1/2 (* eps x))) 2))
(+ (exp (* -1 (* x (+ 1 eps)))) (pow (exp (* 1/2 (* eps x))) 2))
(+ (exp (* -1 (* x (+ 1 eps)))) (pow (exp (* 1/2 (* eps x))) 2))
(+ (exp (* -1 (* x (+ 1 eps)))) (pow (exp (* 1/2 (* eps x))) 2))
(+ (exp (* -1 (* x (+ 1 eps)))) (pow (exp (* 1/2 (* eps x))) 2))
(+ 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)))) (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3)))))))))))))
(+ (exp (* -1 (* x (+ 1 eps)))) (pow (exp (* 1/2 (* eps x))) 2))
(+ (exp (* -1 (* x (+ 1 eps)))) (pow (exp (* 1/2 (* eps x))) 2))
(+ (exp (* -1 (* x (+ 1 eps)))) (pow (exp (* 1/2 (* eps x))) 2))
(+ (exp (* -1 (* x (+ 1 eps)))) (pow (exp (* 1/2 (* eps x))) 2))
(+ (exp (* x (- (* -1 eps) 1))) (pow (exp (* 1/2 (* eps x))) 2))
(+ (exp (* x (- (* -1 eps) 1))) (pow (exp (* 1/2 (* eps x))) 2))
(+ (exp (* x (- (* -1 eps) 1))) (pow (exp (* 1/2 (* eps x))) 2))
(+ (exp (* x (- (* -1 eps) 1))) (pow (exp (* 1/2 (* eps x))) 2))
1
(+ 1 (* 1/2 (* eps x)))
(+ 1 (* x (+ (* 1/8 (* (pow eps 2) x)) (* 1/2 eps))))
(+ 1 (* x (+ (* 1/2 eps) (* x (+ (* 1/48 (* (pow eps 3) x)) (* 1/8 (pow eps 2)))))))
(exp (* 1/2 (* eps x)))
(exp (* 1/2 (* eps x)))
(exp (* 1/2 (* eps x)))
(exp (* 1/2 (* eps x)))
(exp (* 1/2 (* eps x)))
(exp (* 1/2 (* eps x)))
(exp (* 1/2 (* eps x)))
(exp (* 1/2 (* eps x)))
1
(+ 1 (* 1/2 (* eps x)))
(+ 1 (* eps (+ (* 1/8 (* eps (pow x 2))) (* 1/2 x))))
(+ 1 (* eps (+ (* 1/2 x) (* eps (+ (* 1/48 (* eps (pow x 3))) (* 1/8 (pow x 2)))))))
(exp (* 1/2 (* eps x)))
(exp (* 1/2 (* eps x)))
(exp (* 1/2 (* eps x)))
(exp (* 1/2 (* eps x)))
(exp (* 1/2 (* eps x)))
(exp (* 1/2 (* eps x)))
(exp (* 1/2 (* eps x)))
(exp (* 1/2 (* eps x)))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
1
(+ 1 (* -1/2 (* x (+ 1 eps))))
(+ 1 (* x (+ (* -1/2 (+ 1 eps)) (* 1/4 (* x (pow (+ 1 eps) 2))))))
(+ 1 (* x (+ (* -1/2 (+ 1 eps)) (* 1/4 (* x (pow (+ 1 eps) 2))))))
(* 1/4 (* (pow x 2) (pow (+ 1 eps) 2)))
(* (pow x 2) (+ (* -1/2 (/ (+ 1 eps) x)) (* 1/4 (pow (+ 1 eps) 2))))
(* (pow x 2) (+ (* -1/2 (/ (+ 1 eps) x)) (+ (* 1/4 (pow (+ 1 eps) 2)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* -1/2 (/ (+ 1 eps) x)) (+ (* 1/4 (pow (+ 1 eps) 2)) (/ 1 (pow x 2)))))
(* 1/4 (* (pow x 2) (pow (+ 1 eps) 2)))
(* (pow x 2) (+ (* -1/2 (/ (+ 1 eps) x)) (* 1/4 (pow (+ 1 eps) 2))))
(* (pow x 2) (+ (* -1 (/ (- (* 1/2 (+ 1 eps)) (/ 1 x)) x)) (* 1/4 (pow (+ 1 eps) 2))))
(* (pow x 2) (+ (* -1 (/ (- (* 1/2 (+ 1 eps)) (/ 1 x)) x)) (* 1/4 (pow (+ 1 eps) 2))))
(+ 1 (* x (- (* 1/4 x) 1/2)))
(+ 1 (+ (* eps (* x (- (* 1/2 x) 1/2))) (* x (- (* 1/4 x) 1/2))))
(+ 1 (+ (* eps (+ (* 1/4 (* eps (pow x 2))) (* x (- (* 1/2 x) 1/2)))) (* x (- (* 1/4 x) 1/2))))
(+ 1 (+ (* eps (+ (* 1/4 (* eps (pow x 2))) (* x (- (* 1/2 x) 1/2)))) (* x (- (* 1/4 x) 1/2))))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/4 (pow x 2)) (/ (* x (- (* 1/2 x) 1/2)) eps)))
(* (pow eps 2) (+ (* 1/4 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (* x (- (* 1/4 x) 1/2)) (pow eps 2)) (/ (* x (- (* 1/2 x) 1/2)) eps)))))
(* (pow eps 2) (+ (* 1/4 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (* x (- (* 1/4 x) 1/2)) (pow eps 2)) (/ (* x (- (* 1/2 x) 1/2)) eps)))))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* -1 (/ (* x (+ 1/2 (* -1/2 x))) eps)) (* 1/4 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* x (- (* 1/4 x) 1/2))) eps)) (* x (+ 1/2 (* -1/2 x)))) eps)) (* 1/4 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* x (- (* 1/4 x) 1/2))) eps)) (* x (+ 1/2 (* -1/2 x)))) eps)) (* 1/4 (pow x 2))))
(* -1/2 (* x (+ 1 eps)))
(* x (+ (* -1/2 (+ 1 eps)) (* 1/4 (* x (pow (+ 1 eps) 2)))))
(* x (+ (* -1/2 (+ 1 eps)) (* 1/4 (* x (pow (+ 1 eps) 2)))))
(* x (+ (* -1/2 (+ 1 eps)) (* 1/4 (* x (pow (+ 1 eps) 2)))))
(* 1/4 (* (pow x 2) (pow (+ 1 eps) 2)))
(* (pow x 2) (+ (* -1/2 (/ (+ 1 eps) x)) (* 1/4 (pow (+ 1 eps) 2))))
(* (pow x 2) (+ (* -1/2 (/ (+ 1 eps) x)) (* 1/4 (pow (+ 1 eps) 2))))
(* (pow x 2) (+ (* -1/2 (/ (+ 1 eps) x)) (* 1/4 (pow (+ 1 eps) 2))))
(* 1/4 (* (pow x 2) (pow (+ 1 eps) 2)))
(* (pow x 2) (+ (* -1/2 (/ (+ 1 eps) x)) (* 1/4 (pow (+ 1 eps) 2))))
(* (pow x 2) (+ (* -1/2 (/ (+ 1 eps) x)) (* 1/4 (pow (+ 1 eps) 2))))
(* (pow x 2) (+ (* -1/2 (/ (+ 1 eps) x)) (* 1/4 (pow (+ 1 eps) 2))))
(* x (- (* 1/4 x) 1/2))
(+ (* eps (* x (- (* 1/2 x) 1/2))) (* x (- (* 1/4 x) 1/2)))
(+ (* eps (+ (* 1/4 (* eps (pow x 2))) (* x (- (* 1/2 x) 1/2)))) (* x (- (* 1/4 x) 1/2)))
(+ (* eps (+ (* 1/4 (* eps (pow x 2))) (* x (- (* 1/2 x) 1/2)))) (* x (- (* 1/4 x) 1/2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/4 (pow x 2)) (/ (* x (- (* 1/2 x) 1/2)) eps)))
(* (pow eps 2) (+ (* 1/4 (pow x 2)) (+ (/ (* x (- (* 1/4 x) 1/2)) (pow eps 2)) (/ (* x (- (* 1/2 x) 1/2)) eps))))
(* (pow eps 2) (+ (* 1/4 (pow x 2)) (+ (/ (* x (- (* 1/4 x) 1/2)) (pow eps 2)) (/ (* x (- (* 1/2 x) 1/2)) eps))))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* -1 (/ (* x (+ 1/2 (* -1/2 x))) eps)) (* 1/4 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* 1/4 x) 1/2)) eps)) (* x (+ 1/2 (* -1/2 x)))) eps)) (* 1/4 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* 1/4 x) 1/2)) eps)) (* x (+ 1/2 (* -1/2 x)))) eps)) (* 1/4 (pow x 2))))
(- (* 1/4 x) 1/2)
(- (+ (* 1/4 x) (* eps (- (* 1/2 x) 1/2))) 1/2)
(- (+ (* 1/4 x) (* eps (- (+ (* 1/4 (* eps x)) (* 1/2 x)) 1/2))) 1/2)
(- (+ (* 1/4 x) (* eps (- (+ (* 1/4 (* eps x)) (* 1/2 x)) 1/2))) 1/2)
(* 1/4 (* (pow eps 2) x))
(* (pow eps 2) (- (+ (* 1/4 x) (* 1/2 (/ x eps))) (* 1/2 (/ 1 eps))))
(* (pow eps 2) (- (+ (* 1/4 x) (+ (* 1/4 (/ x (pow eps 2))) (* 1/2 (/ x eps)))) (+ (/ 1/2 (pow eps 2)) (* 1/2 (/ 1 eps)))))
(* (pow eps 2) (- (+ (* 1/4 x) (+ (* 1/4 (/ x (pow eps 2))) (* 1/2 (/ x eps)))) (+ (/ 1/2 (pow eps 2)) (* 1/2 (/ 1 eps)))))
(* 1/4 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1 (/ (+ 1/2 (* -1/2 x)) eps)) (* 1/4 x)))
(* (pow eps 2) (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- (* 1/4 x) 1/2) eps)) (* -1/2 x))) eps)) (* 1/4 x)))
(* (pow eps 2) (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- (* 1/4 x) 1/2) eps)) (* -1/2 x))) eps)) (* 1/4 x)))
(* -1/2 (+ 1 eps))
(+ (* -1/2 (+ 1 eps)) (* 1/4 (* x (pow (+ 1 eps) 2))))
(+ (* -1/2 (+ 1 eps)) (* 1/4 (* x (pow (+ 1 eps) 2))))
(+ (* -1/2 (+ 1 eps)) (* 1/4 (* x (pow (+ 1 eps) 2))))
(* 1/4 (* x (pow (+ 1 eps) 2)))
(* x (+ (* -1/2 (/ (+ 1 eps) x)) (* 1/4 (pow (+ 1 eps) 2))))
(* x (+ (* -1/2 (/ (+ 1 eps) x)) (* 1/4 (pow (+ 1 eps) 2))))
(* x (+ (* -1/2 (/ (+ 1 eps) x)) (* 1/4 (pow (+ 1 eps) 2))))
(* 1/4 (* x (pow (+ 1 eps) 2)))
(* -1 (* x (+ (* -1/4 (pow (+ 1 eps) 2)) (* 1/2 (/ (+ 1 eps) x)))))
(* -1 (* x (+ (* -1/4 (pow (+ 1 eps) 2)) (* 1/2 (/ (+ 1 eps) x)))))
(* -1 (* x (+ (* -1/4 (pow (+ 1 eps) 2)) (* 1/2 (/ (+ 1 eps) x)))))
-1/2
(- (* -1/2 eps) 1/2)
(- (* -1/2 eps) 1/2)
(- (* -1/2 eps) 1/2)
(* -1/2 eps)
(* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))
(* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))
(* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))
(* -1/2 eps)
(* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))
(* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))
(* -1 (* eps (+ 1/2 (* 1/2 (/ 1 eps)))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))
(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (pow x 2)) 1/2) x)) 1/3)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (pow x 2)) 1/2) x)) 1/3)))
(/ (* (pow x 2) (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps)
(/ (+ (* eps (+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))) (* (pow x 2) (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4))) eps)
(/ (+ (* eps (+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))) (* (pow x 2) (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4))) eps)
(/ (+ (* eps (+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))) (* (pow x 2) (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4))) eps)
(+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))
(+ 1 (+ (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2)) (/ (* (pow x 2) (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps)))
(+ 1 (+ (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2)) (/ (* (pow x 2) (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps)))
(+ 1 (+ (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2)) (/ (* (pow x 2) (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps)))
(+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))
(+ 1 (+ (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2)) (/ (* (pow x 2) (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps)))
(+ 1 (+ (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2)) (/ (* (pow x 2) (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps)))
(+ 1 (+ (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2)) (/ (* (pow x 2) (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* (pow x 2) (- (* 1/3 x) 1/2))
(* 1/3 (pow x 3))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(/ (* (pow x 2) (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps)
(/ (+ (* eps (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2))) (* (pow x 2) (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4))) eps)
(/ (+ (* eps (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2))) (* (pow x 2) (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4))) eps)
(/ (+ (* eps (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2))) (* (pow x 2) (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4))) eps)
(* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2))
(+ (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2)) (/ (* (pow x 2) (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps))
(+ (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2)) (/ (* (pow x 2) (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps))
(+ (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2)) (/ (* (pow x 2) (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps))
(* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2))
(+ (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2)) (/ (* (pow x 2) (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps))
(+ (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2)) (/ (* (pow x 2) (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps))
(+ (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2)) (/ (* (pow x 2) (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps))
(* -1/2 x)
(* x (- (* 1/3 x) 1/2))
(* x (- (* 1/3 x) 1/2))
(* x (- (* 1/3 x) 1/2))
(* 1/3 (pow x 2))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* 1/3 (pow x 2))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))
(/ (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps)
(/ (+ (* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2))) (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4))) eps)
(/ (+ (* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2))) (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4))) eps)
(/ (+ (* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2))) (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4))) eps)
(* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2))
(+ (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)) (/ (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps))
(+ (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)) (/ (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps))
(+ (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)) (/ (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps))
(* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2))
(+ (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)) (/ (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps))
(+ (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)) (/ (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps))
(+ (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)) (/ (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps))
(* -1/2 (* eps x))
(* x (+ (* -1/2 eps) (* 1/3 (* eps x))))
(* x (+ (* -1/2 eps) (* 1/3 (* eps x))))
(* x (+ (* -1/2 eps) (* 1/3 (* eps x))))
(* 1/3 (* eps (pow x 2)))
(* (pow x 2) (+ (* -1/2 (/ eps x)) (* 1/3 eps)))
(* (pow x 2) (+ (* -1/2 (/ eps x)) (* 1/3 eps)))
(* (pow x 2) (+ (* -1/2 (/ eps x)) (* 1/3 eps)))
(* 1/3 (* eps (pow x 2)))
(* (pow x 2) (+ (* -1/2 (/ eps x)) (* 1/3 eps)))
(* (pow x 2) (+ (* -1/2 (/ eps x)) (* 1/3 eps)))
(* (pow x 2) (+ (* -1/2 (/ eps x)) (* 1/3 eps)))
(* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4))
(+ (* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2))) (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)))
(+ (* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2))) (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)))
(+ (* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2))) (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)))
(* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))
(* eps (+ (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)) (/ (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps)))
(* eps (+ (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)) (/ (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps)))
(* eps (+ (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)) (/ (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps)))
(* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))
(* -1 (* eps (+ (* -1 (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2))) (* -1 (/ (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps)))))
(* -1 (* eps (+ (* -1 (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2))) (* -1 (/ (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps)))))
(* -1 (* eps (+ (* -1 (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2))) (* -1 (/ (* x (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps)))))
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
(+ 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 (* 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))))
(* 1/4 (* x (pow (+ 1 eps) 2)))
(* 1/4 (* x (pow (+ 1 eps) 2)))
(* 1/4 (* x (pow (+ 1 eps) 2)))
(* 1/4 (* x (pow (+ 1 eps) 2)))
(* 1/4 (* x (pow (+ 1 eps) 2)))
(* 1/4 (* x (pow (+ 1 eps) 2)))
(* 1/4 (* x (pow (+ 1 eps) 2)))
(* 1/4 (* x (pow (+ 1 eps) 2)))
(* 1/4 (* x (pow (+ 1 eps) 2)))
(* 1/4 (* x (pow (+ 1 eps) 2)))
(* 1/4 (* x (pow (+ 1 eps) 2)))
(* 1/4 (* x (pow (+ 1 eps) 2)))
(* 1/4 x)
(+ (* 1/4 x) (* 1/2 (* eps x)))
(+ (* 1/4 x) (* eps (+ (* 1/4 (* eps x)) (* 1/2 x))))
(+ (* 1/4 x) (* eps (+ (* 1/4 (* eps x)) (* 1/2 x))))
(* 1/4 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 1/4 x) (* 1/2 (/ x eps))))
(* (pow eps 2) (+ (* 1/4 x) (+ (* 1/4 (/ x (pow eps 2))) (* 1/2 (/ x eps)))))
(* (pow eps 2) (+ (* 1/4 x) (+ (* 1/4 (/ x (pow eps 2))) (* 1/2 (/ x eps)))))
(* 1/4 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 1/4 x) (* 1/2 (/ x eps))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1/2 x) (* -1/4 (/ x eps))) eps)) (* 1/4 x)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1/2 x) (* -1/4 (/ x eps))) eps)) (* 1/4 x)))
1
(+ 1 (* 2 eps))
(+ 1 (* eps (+ 2 eps)))
(+ 1 (* eps (+ 2 eps)))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ 1 eps))))
(* (pow eps 2) (+ 1 (+ (* 2 (/ 1 eps)) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ 1 (+ (* 2 (/ 1 eps)) (/ 1 (pow eps 2)))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ 1 eps))))
(* (pow eps 2) (+ 1 (+ (* 2 (/ 1 eps)) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ 1 (+ (* 2 (/ 1 eps)) (/ 1 (pow eps 2)))))
(* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))
(* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))
(* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))
(* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))
(* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))
(* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))
(* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))
(* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))
(* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))
(* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))
(* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))
(* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))
(* -1/2 (* eps x))
(* x (+ (* -1/2 eps) (* 1/3 (* eps x))))
(* x (+ (* -1/2 eps) (* 1/3 (* eps x))))
(* x (+ (* -1/2 eps) (* 1/3 (* eps x))))
(* 1/3 (* eps (pow x 2)))
(* (pow x 2) (+ (* -1/2 (/ eps x)) (* 1/3 eps)))
(* (pow x 2) (+ (* -1/2 (/ eps x)) (* 1/3 eps)))
(* (pow x 2) (+ (* -1/2 (/ eps x)) (* 1/3 eps)))
(* 1/3 (* eps (pow x 2)))
(* (pow x 2) (+ (* -1/2 (/ eps x)) (* 1/3 eps)))
(* (pow x 2) (+ (* -1/2 (/ eps x)) (* 1/3 eps)))
(* (pow x 2) (+ (* -1/2 (/ eps x)) (* 1/3 eps)))
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
(* 1/12 x)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (+ eps (* -1 (+ 1 eps))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (*.f64 eps #s(literal 0 binary64))))))
(+ 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 x (+.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (*.f64 eps #s(literal 0 binary64)))))))
(+ 1 (* x (+ (* 1/2 (+ eps (* -1 (+ 1 eps)))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (+ (* 1/24 (pow eps 3)) (* 1/8 (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 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (*.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 eps (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)))))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (pow (exp (* 1/2 (* eps x))) 2)))
(*.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)))) (pow (exp (* 1/2 (* eps x))) 2)))
(*.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)))) (pow (exp (* 1/2 (* eps x))) 2)))
(*.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)))) (pow (exp (* 1/2 (* eps x))) 2)))
(*.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)))) (pow (exp (* 1/2 (* eps x))) 2)))
(*.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)))) (pow (exp (* 1/2 (* eps x))) 2)))
(*.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)))) (pow (exp (* 1/2 (* eps x))) 2)))
(*.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)))) (pow (exp (* 1/2 (* eps x))) 2)))
(*.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 x)))
(+ (* 1/2 (* eps (+ x (* -1 (* x (exp (* -1 x))))))) (* 1/2 (+ 1 (exp (* -1 x)))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) (*.f64 #s(literal 1/2 binary64) eps)))
(+ (* 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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) (*.f64 (*.f64 x (*.f64 x eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 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)))) (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3)))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2)))))))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 x)) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) (*.f64 eps (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x eps))) (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1/6 binary64)) #s(literal 1/6 binary64))))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (pow (exp (* 1/2 (* eps x))) 2)))
(*.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)))) (pow (exp (* 1/2 (* eps x))) 2)))
(*.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)))) (pow (exp (* 1/2 (* eps x))) 2)))
(*.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)))) (pow (exp (* 1/2 (* eps x))) 2)))
(*.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 (* x (- (* -1 eps) 1))) (pow (exp (* 1/2 (* eps x))) 2)))
(*.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 (* x (- (* -1 eps) 1))) (pow (exp (* 1/2 (* eps x))) 2)))
(*.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 (* x (- (* -1 eps) 1))) (pow (exp (* 1/2 (* eps x))) 2)))
(*.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 (* x (- (* -1 eps) 1))) (pow (exp (* 1/2 (* eps x))) 2)))
(*.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 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))
(+ 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)) (+ (* 1/24 (pow eps 3)) (* 1/8 (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 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (*.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 eps (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64))))))))))
(+ (exp (* -1 (* x (+ 1 eps)))) (pow (exp (* 1/2 (* eps x))) 2))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (pow (exp (* 1/2 (* eps x))) 2))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (pow (exp (* 1/2 (* eps x))) 2))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (pow (exp (* 1/2 (* eps x))) 2))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (pow (exp (* 1/2 (* eps x))) 2))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (pow (exp (* 1/2 (* eps x))) 2))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (pow (exp (* 1/2 (* eps x))) 2))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (pow (exp (* 1/2 (* eps x))) 2))
(+.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 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))))) #s(literal 1 binary64)))
(+ 1 (+ (exp (* -1 x)) (* eps (+ x (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2)))))))))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 eps (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) (*.f64 (*.f64 x (*.f64 x eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 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)))) (+ (* 1/24 (pow x 3)) (* 1/8 (pow x 3)))))))))))))
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 eps (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x)))) (*.f64 eps (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x eps))) (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal -1/6 binary64)) #s(literal 1/6 binary64))))))) #s(literal 1 binary64)))
(+ (exp (* -1 (* x (+ 1 eps)))) (pow (exp (* 1/2 (* eps x))) 2))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (pow (exp (* 1/2 (* eps x))) 2))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (pow (exp (* 1/2 (* eps x))) 2))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (pow (exp (* 1/2 (* eps x))) 2))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* x (- (* -1 eps) 1))) (pow (exp (* 1/2 (* eps x))) 2))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* x (- (* -1 eps) 1))) (pow (exp (* 1/2 (* eps x))) 2))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* x (- (* -1 eps) 1))) (pow (exp (* 1/2 (* eps x))) 2))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* x (- (* -1 eps) 1))) (pow (exp (* 1/2 (* eps x))) 2))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))
(+ 1 (* x (+ (* 1/8 (* (pow eps 2) x)) (* 1/2 eps))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x eps))))))
(+ 1 (* x (+ (* 1/2 eps) (* x (+ (* 1/48 (* (pow eps 3) x)) (* 1/8 (pow eps 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x #s(literal 1/48 binary64))) (*.f64 eps (*.f64 eps #s(literal 1/8 binary64))))))))
(exp (* 1/2 (* eps x)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))
(exp (* 1/2 (* eps x)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))
(exp (* 1/2 (* eps x)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))
(exp (* 1/2 (* eps x)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))
(exp (* 1/2 (* eps x)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))
(exp (* 1/2 (* eps x)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))
(exp (* 1/2 (* eps x)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))
(exp (* 1/2 (* eps x)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))
(+ 1 (* eps (+ (* 1/8 (* eps (pow x 2))) (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x eps))))))
(+ 1 (* eps (+ (* 1/2 x) (* eps (+ (* 1/48 (* eps (pow x 3))) (* 1/8 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (+.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 x (*.f64 x (*.f64 x eps)))) (*.f64 #s(literal 1/8 binary64) (*.f64 x x)))))))
(exp (* 1/2 (* eps x)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))
(exp (* 1/2 (* eps x)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))
(exp (* 1/2 (* eps x)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))
(exp (* 1/2 (* eps x)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))
(exp (* 1/2 (* eps x)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))
(exp (* 1/2 (* eps x)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))
(exp (* 1/2 (* eps x)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))
(exp (* 1/2 (* eps x)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
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(* 1/2 (* eps x))
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(* (pow eps 2) (+ 1 (* 2 (/ 1 eps))))
(*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps)))
(* (pow eps 2) (+ 1 (+ (* 2 (/ 1 eps)) (/ 1 (pow eps 2)))))
(+.f64 (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps))) #s(literal 1 binary64))
(* (pow eps 2) (+ 1 (+ (* 2 (/ 1 eps)) (/ 1 (pow eps 2)))))
(+.f64 (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps))) #s(literal 1 binary64))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* 2 (/ 1 eps))))
(*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps)))
(* (pow eps 2) (+ 1 (+ (* 2 (/ 1 eps)) (/ 1 (pow eps 2)))))
(+.f64 (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps))) #s(literal 1 binary64))
(* (pow eps 2) (+ 1 (+ (* 2 (/ 1 eps)) (/ 1 (pow eps 2)))))
(+.f64 (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps))) #s(literal 1 binary64))
(* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))
(*.f64 (*.f64 x eps) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))
(* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))
(*.f64 (*.f64 x eps) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))
(* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))
(*.f64 (*.f64 x eps) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))
(* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))
(*.f64 (*.f64 x eps) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))
(* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))
(*.f64 (*.f64 x eps) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))
(* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))
(*.f64 (*.f64 x eps) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))
(* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))
(*.f64 (*.f64 x eps) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))
(* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))
(*.f64 (*.f64 x eps) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))
(* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))
(*.f64 (*.f64 x eps) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))
(* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))
(*.f64 (*.f64 x eps) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))
(* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))
(*.f64 (*.f64 x eps) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))
(* eps (* x (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))
(*.f64 (*.f64 x eps) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))
(* -1/2 (* eps x))
(*.f64 eps (*.f64 x #s(literal -1/2 binary64)))
(* x (+ (* -1/2 eps) (* 1/3 (* eps x))))
(*.f64 (*.f64 x eps) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))
(* x (+ (* -1/2 eps) (* 1/3 (* eps x))))
(*.f64 (*.f64 x eps) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))
(* x (+ (* -1/2 eps) (* 1/3 (* eps x))))
(*.f64 (*.f64 x eps) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))
(* 1/3 (* eps (pow x 2)))
(*.f64 eps (*.f64 x (*.f64 x #s(literal 1/3 binary64))))
(* (pow x 2) (+ (* -1/2 (/ eps x)) (* 1/3 eps)))
(*.f64 (*.f64 x x) (*.f64 eps (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* (pow x 2) (+ (* -1/2 (/ eps x)) (* 1/3 eps)))
(*.f64 (*.f64 x x) (*.f64 eps (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* (pow x 2) (+ (* -1/2 (/ eps x)) (* 1/3 eps)))
(*.f64 (*.f64 x x) (*.f64 eps (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* 1/3 (* eps (pow x 2)))
(*.f64 eps (*.f64 x (*.f64 x #s(literal 1/3 binary64))))
(* (pow x 2) (+ (* -1/2 (/ eps x)) (* 1/3 eps)))
(*.f64 (*.f64 x x) (*.f64 eps (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* (pow x 2) (+ (* -1/2 (/ eps x)) (* 1/3 eps)))
(*.f64 (*.f64 x x) (*.f64 eps (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* (pow x 2) (+ (* -1/2 (/ eps x)) (* 1/3 eps)))
(*.f64 (*.f64 x x) (*.f64 eps (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))
(* 1/12 x)
(*.f64 x #s(literal 1/12 binary64))

eval118.0ms (0.7%)

Compiler

Compiled 26036 to 2020 computations (92.2% saved)

prune127.0ms (0.7%)

Pruning

46 alts after pruning (41 fresh and 5 done)

PrunedKeptTotal
New86617883
Fresh62430
Picked325
Done033
Total87546921
Accuracy
100.0%
Counts
921 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.4%
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/4 binary64))))) (*.f64 x eps))) eps) (/.f64 (+.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/4 binary64))))) (*.f64 x eps))) eps))) #s(literal 1 binary64)) (-.f64 (/.f64 x (/.f64 eps (+.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/4 binary64))))) (*.f64 x eps))))) #s(literal 1 binary64)))
49.8%
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1 binary64)) (-.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) #s(literal 1 binary64)))
37.2%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) (-.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) #s(literal 1 binary64)))))
12.3%
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64))))) eps)
42.6%
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64))))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))))))
14.2%
(-.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 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))))))) x) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
25.1%
(-.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 (*.f64 x x) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
29.1%
(-.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 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))) (+.f64 eps #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
26.5%
(-.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 #s(literal -1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
18.7%
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) x))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
38.8%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/6 binary64) eps))))) x))))) (-.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))))
51.3%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) (+.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))))
24.0%
(-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x x))))) (-.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))))
42.8%
(-.f64 #s(literal 1 binary64) x)
29.6%
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) x))) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/6 binary64) eps)))))) (+.f64 (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal -1/6 binary64))))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))))))))
70.0%
(+.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) #s(literal 1 binary64))
34.6%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
50.5%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 eps #s(literal 1 binary64))))))))
52.0%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/4 binary64)))))))
71.2%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (*.f64 eps #s(literal 0 binary64)))))))
47.9%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/2 binary64)))))
52.7%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
71.5%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
52.4%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
42.6%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
✓61.1%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
56.6%
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
17.7%
(*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)))
12.3%
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
9.6%
(*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64))) eps)))
35.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
18.0%
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
20.5%
(*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
19.4%
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
11.7%
(*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) x))
29.0%
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))))
85.7%
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (exp.f64 (*.f64 x (/.f64 (/.f64 eps #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
✓85.7%
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
59.5%
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps))))))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
62.9%
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
✓85.7%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
66.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
17.2%
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
69.0%
(exp.f64 (neg.f64 x))
✓43.4%
#s(literal 1 binary64)
✓14.9%
#s(literal 0 binary64)
Compiler

Compiled 4080 to 1240 computations (69.6% saved)

regimes110.0ms (0.6%)

Counts
84 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/2 binary64)))))
(*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) x))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))))
(+.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #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 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))
(+.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 eps (*.f64 eps eps)) #s(literal 0 binary64)))))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/4 binary64))) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64))) eps)) (*.f64 x x))
(+.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))))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (*.f64 eps #s(literal 0 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) eps) #s(literal 0 binary64)))))
(-.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 #s(literal -1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.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 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/12 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64)))) (+.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 (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64))) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/4 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 eps (*.f64 eps eps)) (+.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) eps) #s(literal 0 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (-.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))) (*.f64 eps (*.f64 x (+.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (+.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)))))) eps)))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) x))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.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 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.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 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))) (+.f64 eps #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.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 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (*.f64 eps (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.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 (*.f64 x x) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 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 (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1 binary64)) (-.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.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 #s(literal 1 binary64) eps) (+.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) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
(-.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 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))))))) x) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 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 eps #s(literal -1 binary64))) (*.f64 x (+.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))))))))
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(exp.f64 (neg.f64 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/4 binary64))))) (*.f64 x eps))) eps) (/.f64 (+.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/4 binary64))))) (*.f64 x eps))) eps))) #s(literal 1 binary64)) (-.f64 (/.f64 x (/.f64 eps (+.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/4 binary64))))) (*.f64 x eps))))) #s(literal 1 binary64)))
(*.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 #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 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.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 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(-.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 (*.f64 (+.f64 #s(literal 1 binary64) (*.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 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps))))))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) (+.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 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 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))) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 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 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/6 binary64) eps))))) x))))) (-.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 x (*.f64 x x)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x x))))) (-.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))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (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 (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.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 (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 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (exp.f64 (*.f64 x (/.f64 (/.f64 eps #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (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 x (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64))))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (-.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 (+.f64 eps #s(literal -1 binary64))) (*.f64 x (-.f64 #s(literal -1 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 (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 (*.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))))) (*.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 (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 (*.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 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))
Outputs
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (exp.f64 (*.f64 x (/.f64 (/.f64 eps #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Calls

4 calls:

29.0ms
eps
22.0ms
x
20.0ms
(-.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)))))
18.0ms
(/.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
98.3%1x
100.0%2eps
98.3%1(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
98.3%1(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes41.0ms (0.2%)

Counts
79 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/2 binary64)))))
(*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) x))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))))
(+.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #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 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))
(+.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 eps (*.f64 eps eps)) #s(literal 0 binary64)))))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/4 binary64))) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64))) eps)) (*.f64 x x))
(+.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))))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (*.f64 eps #s(literal 0 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) eps) #s(literal 0 binary64)))))
(-.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 #s(literal -1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.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 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/12 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64)))) (+.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 (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64))) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/4 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 eps (*.f64 eps eps)) (+.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) eps) #s(literal 0 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (-.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))) (*.f64 eps (*.f64 x (+.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (+.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)))))) eps)))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) x))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.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 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.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 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))) (+.f64 eps #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.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 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (*.f64 eps (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.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 (*.f64 x x) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 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 (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1 binary64)) (-.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.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 #s(literal 1 binary64) eps) (+.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) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
(-.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 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))))))) x) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 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 eps #s(literal -1 binary64))) (*.f64 x (+.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) (-.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) #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 eps #s(literal -1 binary64))) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) x))) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/6 binary64) eps)))))) (+.f64 (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal -1/6 binary64))))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))))))))
(exp.f64 (neg.f64 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/4 binary64))))) (*.f64 x eps))) eps) (/.f64 (+.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/4 binary64))))) (*.f64 x eps))) eps))) #s(literal 1 binary64)) (-.f64 (/.f64 x (/.f64 eps (+.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/4 binary64))))) (*.f64 x eps))))) #s(literal 1 binary64)))
(*.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 #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 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.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 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(-.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 (*.f64 (+.f64 #s(literal 1 binary64) (*.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 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps))))))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) (+.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 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 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))) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 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 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/6 binary64) eps))))) x))))) (-.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 x (*.f64 x x)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x x))))) (-.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))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (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 (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.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 (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 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))
Outputs
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Calls

1 calls:

22.0ms
eps
Results
AccuracySegmentsBranch
100.0%2eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes38.0ms (0.2%)

Counts
76 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/2 binary64)))))
(*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) x))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))))
(+.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #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 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))
(+.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 eps (*.f64 eps eps)) #s(literal 0 binary64)))))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/4 binary64))) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64))) eps)) (*.f64 x x))
(+.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))))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (*.f64 eps #s(literal 0 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) eps) #s(literal 0 binary64)))))
(-.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 #s(literal -1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.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 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
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(*.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 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Calls

1 calls:

21.0ms
eps
Results
AccuracySegmentsBranch
100.0%2eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes56.0ms (0.3%)

Counts
72 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/2 binary64)))))
(*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) x))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))))
(+.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #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 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))
(+.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 eps (*.f64 eps eps)) #s(literal 0 binary64)))))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/4 binary64))) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64))) eps)) (*.f64 x x))
(+.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))))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (*.f64 eps #s(literal 0 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) eps) #s(literal 0 binary64)))))
(-.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 #s(literal -1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.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 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/12 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64)))) (+.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 (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64))) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/4 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 eps (*.f64 eps eps)) (+.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) eps) #s(literal 0 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (-.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))) (*.f64 eps (*.f64 x (+.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (+.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)))))) eps)))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) x))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.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 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.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 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))) (+.f64 eps #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.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 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (*.f64 eps (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.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 (*.f64 x x) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 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 (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1 binary64)) (-.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.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 #s(literal 1 binary64) eps) (+.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) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
(-.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 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))))))) x) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 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 eps #s(literal -1 binary64))) (*.f64 x (+.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) (-.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) #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 eps #s(literal -1 binary64))) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) x))) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/6 binary64) eps)))))) (+.f64 (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal -1/6 binary64))))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))))))))
(exp.f64 (neg.f64 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/4 binary64))))) (*.f64 x eps))) eps) (/.f64 (+.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/4 binary64))))) (*.f64 x eps))) eps))) #s(literal 1 binary64)) (-.f64 (/.f64 x (/.f64 eps (+.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/4 binary64))))) (*.f64 x eps))))) #s(literal 1 binary64)))
(*.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 #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 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.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 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(-.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 (*.f64 (+.f64 #s(literal 1 binary64) (*.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 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps))))))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) (+.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 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 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))) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 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 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/6 binary64) eps))))) x))))) (-.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 x (*.f64 x x)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x x))))) (-.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 (-.f64 #s(literal 0 binary64) x)))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) (+.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))))
Calls

2 calls:

21.0ms
eps
19.0ms
x
Results
AccuracySegmentsBranch
88.7%4x
90.9%2eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes35.0ms (0.2%)

Counts
67 → 5
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/2 binary64)))))
(*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) x))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))))
(+.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #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 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))
(+.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 eps (*.f64 eps eps)) #s(literal 0 binary64)))))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/4 binary64))) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64))) eps)) (*.f64 x x))
(+.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))))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (*.f64 eps #s(literal 0 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) eps) #s(literal 0 binary64)))))
(-.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 #s(literal -1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.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 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/12 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64)))) (+.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 (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64))) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/4 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 eps (*.f64 eps eps)) (+.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) eps) #s(literal 0 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (-.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))) (*.f64 eps (*.f64 x (+.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (+.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)))))) eps)))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) x))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.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 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.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 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))) (+.f64 eps #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.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 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (*.f64 eps (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.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 (*.f64 x x) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 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 (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1 binary64)) (-.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.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 #s(literal 1 binary64) eps) (+.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) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
(-.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 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))))))) x) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 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 eps #s(literal -1 binary64))) (*.f64 x (+.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) (-.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) #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 eps #s(literal -1 binary64))) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) x))) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/6 binary64) eps)))))) (+.f64 (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal -1/6 binary64))))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))))))))
(exp.f64 (neg.f64 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/4 binary64))))) (*.f64 x eps))) eps) (/.f64 (+.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/4 binary64))))) (*.f64 x eps))) eps))) #s(literal 1 binary64)) (-.f64 (/.f64 x (/.f64 eps (+.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/4 binary64))))) (*.f64 x eps))))) #s(literal 1 binary64)))
(*.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 #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 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.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 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(-.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 (*.f64 (+.f64 #s(literal 1 binary64) (*.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 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps))))))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Outputs
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(-.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 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 eps #s(literal 1 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))))
(+.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) #s(literal 1 binary64))
Calls

1 calls:

19.0ms
eps
Results
AccuracySegmentsBranch
93.5%5eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes33.0ms (0.2%)

Counts
64 → 5
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/2 binary64)))))
(*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) x))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))))
(+.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #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 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))
(+.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 eps (*.f64 eps eps)) #s(literal 0 binary64)))))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/4 binary64))) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64))) eps)) (*.f64 x x))
(+.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))))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (*.f64 eps #s(literal 0 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) eps) #s(literal 0 binary64)))))
(-.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 #s(literal -1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.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 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/12 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64)))) (+.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 (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64))) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/4 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 eps (*.f64 eps eps)) (+.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) eps) #s(literal 0 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (-.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))) (*.f64 eps (*.f64 x (+.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (+.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)))))) eps)))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) x))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.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 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.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 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))) (+.f64 eps #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.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 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (*.f64 eps (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.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 (*.f64 x x) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 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 (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1 binary64)) (-.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.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 #s(literal 1 binary64) eps) (+.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) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
(-.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 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))))))) x) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 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 eps #s(literal -1 binary64))) (*.f64 x (+.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) (-.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) #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 eps #s(literal -1 binary64))) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) x))) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/6 binary64) eps)))))) (+.f64 (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal -1/6 binary64))))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))))))))
(exp.f64 (neg.f64 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/4 binary64))))) (*.f64 x eps))) eps) (/.f64 (+.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/4 binary64))))) (*.f64 x eps))) eps))) #s(literal 1 binary64)) (-.f64 (/.f64 x (/.f64 eps (+.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/4 binary64))))) (*.f64 x eps))))) #s(literal 1 binary64)))
(*.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 #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 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.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 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
Outputs
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 eps #s(literal 1 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))))
(+.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) #s(literal 1 binary64))
Calls

1 calls:

18.0ms
eps
Results
AccuracySegmentsBranch
93.5%5eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes31.0ms (0.2%)

Counts
60 → 5
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
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(exp.f64 (neg.f64 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/4 binary64))))) (*.f64 x eps))) eps) (/.f64 (+.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/4 binary64))))) (*.f64 x eps))) eps))) #s(literal 1 binary64)) (-.f64 (/.f64 x (/.f64 eps (+.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/4 binary64))))) (*.f64 x eps))))) #s(literal 1 binary64)))
(*.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 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)))
Outputs
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(exp.f64 (neg.f64 x))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 eps #s(literal 1 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))))
(+.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) #s(literal 1 binary64))
Calls

1 calls:

17.0ms
eps
Results
AccuracySegmentsBranch
93.2%5eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes31.0ms (0.2%)

Counts
58 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/2 binary64)))))
(*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) x))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))))
(+.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #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 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))
(+.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 eps (*.f64 eps eps)) #s(literal 0 binary64)))))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/4 binary64))) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64))) eps)) (*.f64 x x))
(+.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))))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (*.f64 eps #s(literal 0 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) eps) #s(literal 0 binary64)))))
(-.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 #s(literal -1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.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 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/12 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64)))) (+.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 (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64))) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/4 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 eps (*.f64 eps eps)) (+.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) eps) #s(literal 0 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (-.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))) (*.f64 eps (*.f64 x (+.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (+.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)))))) eps)))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) x))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.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 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.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 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))) (+.f64 eps #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.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 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (*.f64 eps (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.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 (*.f64 x x) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 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 (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1 binary64)) (-.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.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 #s(literal 1 binary64) eps) (+.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) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
(-.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 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))))))) x) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 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 eps #s(literal -1 binary64))) (*.f64 x (+.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) (-.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) #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 eps #s(literal -1 binary64))) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) x))) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/6 binary64) eps)))))) (+.f64 (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal -1/6 binary64))))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))))))))
(exp.f64 (neg.f64 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/4 binary64))))) (*.f64 x eps))) eps) (/.f64 (+.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/4 binary64))))) (*.f64 x eps))) eps))) #s(literal 1 binary64)) (-.f64 (/.f64 x (/.f64 eps (+.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/4 binary64) (*.f64 x #s(literal 1/4 binary64))))) (*.f64 x eps))))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
Outputs
(exp.f64 (neg.f64 x))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 eps #s(literal 1 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))))
(+.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) #s(literal 1 binary64))
Calls

1 calls:

18.0ms
eps
Results
AccuracySegmentsBranch
91.5%4eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes36.0ms (0.2%)

Counts
54 → 6
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/2 binary64)))))
(*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) x))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))))
(+.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #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 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))
(+.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 eps (*.f64 eps eps)) #s(literal 0 binary64)))))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/4 binary64))) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64))) eps)) (*.f64 x x))
(+.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))))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (*.f64 eps #s(literal 0 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) eps) #s(literal 0 binary64)))))
(-.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 #s(literal -1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.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 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/12 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64)))) (+.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 (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64))) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/4 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 eps (*.f64 eps eps)) (+.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) eps) #s(literal 0 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (-.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1/4 binary64)))) (*.f64 eps (*.f64 x (+.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (+.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/4 binary64)))))) eps)))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) x))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.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 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.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 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))) (+.f64 eps #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.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 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (*.f64 eps (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.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 (*.f64 x x) (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) x)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 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 (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64)))))))) #s(literal 1 binary64)) (-.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.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 #s(literal 1 binary64) eps) (+.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) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
(-.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 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))))))) x) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 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 eps #s(literal -1 binary64))) (*.f64 x (+.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) (-.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) #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 eps #s(literal -1 binary64))) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))))))))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) x))) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/6 binary64) eps)))))) (+.f64 (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal -1/6 binary64))))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))))))))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal 1/4 binary64)))))))
(+.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64)))) (+.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 eps eps)) (*.f64 x x))
#s(literal 0 binary64)
Calls

2 calls:

15.0ms
eps
15.0ms
x
Results
AccuracySegmentsBranch
85.7%6x
76.6%3eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes15.0ms (0.1%)

Counts
37 → 6
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/2 binary64)))))
(*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) x))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))))
(+.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #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 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))
(+.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 eps (*.f64 eps eps)) #s(literal 0 binary64)))))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/4 binary64))) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64))) eps)) (*.f64 x x))
(+.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))))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (*.f64 eps #s(literal 0 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) eps) #s(literal 0 binary64)))))
(-.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 #s(literal -1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.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 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/12 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64)))) (+.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 (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64)) (/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64))) eps)))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) eps) #s(literal 0 binary64)))))
(+.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64)))) (+.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 eps eps)) (*.f64 x x))
#s(literal 0 binary64)
Calls

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
85.1%6x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.1%)

Counts
35 → 5
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/2 binary64)))))
(*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) x))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))))
(+.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #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 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))
(+.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 eps (*.f64 eps eps)) #s(literal 0 binary64)))))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/4 binary64))) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64))) eps)) (*.f64 x x))
(+.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))))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (*.f64 eps #s(literal 0 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) eps) #s(literal 0 binary64)))))
(-.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 #s(literal -1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.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 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 0 binary64)) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/12 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) eps))))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (/.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) eps) #s(literal 0 binary64)))))
(+.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))))
(*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
#s(literal 0 binary64)
Calls

1 calls:

11.0ms
x
Results
AccuracySegmentsBranch
83.3%5x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts
31 → 5
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/2 binary64)))))
(*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) x))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))))
(+.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #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 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))
(+.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 eps (*.f64 eps eps)) #s(literal 0 binary64)))))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/4 binary64))) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64))) eps)) (*.f64 x x))
(+.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))))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal -1 binary64) (*.f64 eps #s(literal 0 binary64)))))))
Outputs
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))))
(*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
#s(literal 0 binary64)
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
82.9%5x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts
29 → 5
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/2 binary64)))))
(*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) x))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))))
(+.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #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 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))
(+.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 eps (*.f64 eps eps)) #s(literal 0 binary64)))))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/4 binary64))) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64))) eps)) (*.f64 x x))
(+.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))))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))) eps))))
Outputs
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
(*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
#s(literal 0 binary64)
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
82.9%5x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts
26 → 5
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/2 binary64)))))
(*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) x))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))))
(+.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) #s(literal 1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #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 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))
(+.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 eps (*.f64 eps eps)) #s(literal 0 binary64)))))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 (+.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/4 binary64))) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64))) eps)) (*.f64 x x))
(+.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))))))
Outputs
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(+.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 eps #s(literal 1 binary64))))))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
(*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
#s(literal 0 binary64)
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
82.5%5x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0%)

Counts
19 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/2 binary64)))))
(*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) x))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))))
Outputs
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
(*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
#s(literal 0 binary64)
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
79.9%4x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Counts
16 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/2 binary64)))))
(*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) x))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
Outputs
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
#s(literal 0 binary64)
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
79.6%4x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Counts
15 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/2 binary64)))))
(*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) x))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
Outputs
(*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
#s(literal 0 binary64)
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
78.9%4x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts
12 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/2 binary64)))))
(*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) x))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)))
Outputs
(*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
#s(literal 0 binary64)
Calls

2 calls:

5.0ms
x
4.0ms
eps
Results
AccuracySegmentsBranch
64.6%2eps
71.5%4x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts
11 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/2 binary64)))))
(*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) x))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
Outputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
#s(literal 0 binary64)
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
69.7%4x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Counts
5 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
Outputs
#s(literal 1 binary64)
#s(literal 0 binary64)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
#s(literal 0 binary64)
Calls

2 calls:

2.0ms
eps
2.0ms
x
Results
AccuracySegmentsBranch
45.9%2eps
59.1%4x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
Outputs
#s(literal 1 binary64)
#s(literal 0 binary64)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
55.7%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
Outputs
#s(literal 0 binary64)
Calls

2 calls:

1.0ms
eps
1.0ms
x
Results
AccuracySegmentsBranch
14.9%1eps
14.9%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch23.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
19.0ms
0.00011450114748008947
0.0008441172225237924
Results
14.0ms96×0valid
2.0ms16×0unsamplable
Compiler

Compiled 270 to 185 computations (31.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 4.0ms (34.8% of total)
ival-sub: 2.0ms (17.4% of total)
ival-div: 2.0ms (17.4% of total)
ival-add: 1.0ms (8.7% of total)
ival-exp: 1.0ms (8.7% of total)
ival-neg: 1.0ms (8.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
19.0ms
0.00011450114748008947
0.0008441172225237924
Results
14.0ms96×0valid
2.0ms16×0unsamplable
Compiler

Compiled 246 to 161 computations (34.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 5.0ms (42% of total)
ival-sub: 2.0ms (16.8% of total)
ival-div: 2.0ms (16.8% of total)
ival-add: 1.0ms (8.4% of total)
ival-exp: 1.0ms (8.4% of total)
ival-neg: 1.0ms (8.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch23.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
20.0ms
0.00011450114748008947
0.0008441172225237924
Results
12.0ms96×0valid
2.0ms13×0unsamplable
Compiler

Compiled 198 to 149 computations (24.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 3.0ms (29.8% of total)
ival-sub: 2.0ms (19.9% of total)
ival-div: 2.0ms (19.9% of total)
ival-add: 1.0ms (9.9% of total)
ival-exp: 1.0ms (9.9% of total)
ival-neg: 1.0ms (9.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch27.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
22.0ms
0.00011450114748008947
0.0008441172225237924
Results
15.0ms96×0valid
3.0ms22×0unsamplable
Compiler

Compiled 336 to 221 computations (34.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 6.0ms (42.8% of total)
ival-sub: 2.0ms (14.3% of total)
ival-div: 2.0ms (14.3% of total)
ival-add: 1.0ms (7.1% of total)
ival-exp: 1.0ms (7.1% of total)
ival-neg: 1.0ms (7.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch75.0ms (0.4%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
1.3463874095806577e+184
7.10513510834665e+184
17.0ms
2.1080136284313458e+125
2.38337611925375e+126
11.0ms
5.162361827646344e+47
8.599759065874677e+47
20.0ms
0.00011450114748008947
0.0008441172225237924
Results
50.0ms352×0valid
2.0ms12×0unsamplable
Compiler

Compiled 1152 to 731 computations (36.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 11.0ms (27.6% of total)
ival-div: 8.0ms (20.1% of total)
ival-neg: 6.0ms (15.1% of total)
ival-sub: 5.0ms (12.5% of total)
ival-exp: 5.0ms (12.5% of total)
ival-add: 4.0ms (10% of total)
const: 1.0ms (2.5% of total)
backward-pass: 0.0ms (0% of total)

bsearch72.0ms (0.4%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
1.3463874095806577e+184
7.10513510834665e+184
17.0ms
2.1080136284313458e+125
2.38337611925375e+126
10.0ms
5.162361827646344e+47
8.599759065874677e+47
20.0ms
0.00011450114748008947
0.0008441172225237924
Results
48.0ms352×0valid
2.0ms19×0unsamplable
Compiler

Compiled 1072 to 691 computations (35.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 12.0ms (32.6% of total)
ival-div: 7.0ms (19% of total)
ival-sub: 6.0ms (16.3% of total)
ival-add: 4.0ms (10.9% of total)
ival-exp: 4.0ms (10.9% of total)
ival-neg: 4.0ms (10.9% of total)
const: 1.0ms (2.7% of total)
backward-pass: 0.0ms (0% of total)

bsearch93.0ms (0.5%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
16.0ms
1.3463874095806577e+184
7.10513510834665e+184
17.0ms
2.1080136284313458e+125
2.38337611925375e+126
10.0ms
5.162361827646344e+47
8.599759065874677e+47
39.0ms
9.812768004382853e-26
2.9978025736470244e-22
Results
39.0ms294×0valid
26.0ms90×1valid
2.0ms15×0unsamplable
Compiler

Compiled 1036 to 669 computations (35.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-mult: 13.0ms (25.4% of total)
ival-sub: 9.0ms (17.6% of total)
ival-div: 8.0ms (15.6% of total)
ival-add: 7.0ms (13.7% of total)
ival-exp: 6.0ms (11.7% of total)
ival-neg: 5.0ms (9.8% of total)
backward-pass: 2.0ms (3.9% of total)
const: 1.0ms (2% of total)

bsearch50.0ms (0.3%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
1.3463874095806577e+184
7.10513510834665e+184
17.0ms
2.1080136284313458e+125
2.38337611925375e+126
10.0ms
5.162361827646344e+47
8.599759065874677e+47
Results
33.0ms256×0valid
Compiler

Compiled 900 to 557 computations (38.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 9.0ms (36% of total)
ival-sub: 4.0ms (16% of total)
ival-div: 4.0ms (16% of total)
ival-add: 3.0ms (12% of total)
ival-exp: 3.0ms (12% of total)
ival-neg: 2.0ms (8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch170.0ms (1%)

Algorithm
5×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
23.0ms
2.1290752767767713e+166
1.916315990628767e+171
22.0ms
473468274.4051763
159649685606.96735
34.0ms
8.766529753050949e-43
2.9075616413302767e-41
44.0ms
1.7204943994400952e-216
1.6578411201988574e-207
30.0ms
-1.0631900393821543e-109
-4.93378728190611e-111
Results
66.0ms498×0valid
37.0ms58×2valid
24.0ms84×1valid
Compiler

Compiled 1896 to 1154 computations (39.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 100.0ms
ival-mult: 24.0ms (23.9% of total)
ival-exp: 23.0ms (22.9% of total)
ival-div: 15.0ms (14.9% of total)
ival-sub: 13.0ms (12.9% of total)
ival-add: 9.0ms (9% of total)
ival-neg: 9.0ms (9% of total)
backward-pass: 6.0ms (6% of total)
const: 1.0ms (1% of total)

bsearch186.0ms (1.1%)

Algorithm
5×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
25.0ms
2.1290752767767713e+166
1.916315990628767e+171
21.0ms
473468274.4051763
159649685606.96735
31.0ms
8.766529753050949e-43
2.9075616413302767e-41
51.0ms
1.7204943994400952e-216
1.6578411201988574e-207
40.0ms
-1.6527351409649485e-52
-6.281527805156548e-55
Results
65.0ms496×0valid
53.0ms78×2valid
24.0ms82×1valid
Compiler

Compiled 1892 to 1218 computations (35.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 113.0ms
ival-exp: 32.0ms (28.2% of total)
ival-mult: 26.0ms (22.9% of total)
ival-div: 15.0ms (13.2% of total)
ival-sub: 15.0ms (13.2% of total)
ival-neg: 9.0ms (7.9% of total)
ival-add: 9.0ms (7.9% of total)
backward-pass: 5.0ms (4.4% of total)
const: 2.0ms (1.8% of total)

bsearch155.0ms (0.9%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
24.0ms
2.1290752767767713e+166
1.916315990628767e+171
42.0ms
2.295733082946335e-38
3.115506719065784e-33
39.0ms
1.7204943994400952e-216
1.6578411201988574e-207
35.0ms
-1.6527351409649485e-52
-6.281527805156548e-55
Results
53.0ms413×0valid
38.0ms57×2valid
27.0ms90×1valid
Compiler

Compiled 1496 to 968 computations (35.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-mult: 23.0ms (24.9% of total)
ival-exp: 20.0ms (21.6% of total)
ival-div: 15.0ms (16.2% of total)
ival-sub: 12.0ms (13% of total)
ival-add: 8.0ms (8.7% of total)
ival-neg: 7.0ms (7.6% of total)
backward-pass: 5.0ms (5.4% of total)
const: 1.0ms (1.1% of total)

bsearch176.0ms (1%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
25.0ms
2.1290752767767713e+166
1.916315990628767e+171
42.0ms
2.295733082946335e-38
3.115506719065784e-33
45.0ms
1.7204943994400952e-216
1.6578411201988574e-207
48.0ms
-749873.3757198598
-0.05302399705852079
Results
53.0ms399×0valid
51.0ms82×2valid
34.0ms95×1valid
Compiler

Compiled 1512 to 950 computations (37.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 112.0ms
ival-exp: 31.0ms (27.6% of total)
ival-mult: 27.0ms (24.1% of total)
ival-sub: 13.0ms (11.6% of total)
ival-div: 13.0ms (11.6% of total)
ival-neg: 11.0ms (9.8% of total)
ival-add: 9.0ms (8% of total)
backward-pass: 6.0ms (5.4% of total)
const: 1.0ms (0.9% of total)

bsearch150.0ms (0.9%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×predicate-same
1×narrow-enough
Steps
TimeLeftRight
32.0ms
2.1290752767767713e+166
1.916315990628767e+171
45.0ms
2.295733082946335e-38
3.115506719065784e-33
6.0ms
1.7204943994400952e-216
1.6578411201988574e-207
49.0ms
-749873.3757198598
-0.05302399705852079
Results
52.0ms317×0valid
35.0ms59×2valid
22.0ms72×1valid
Compiler

Compiled 952 to 622 computations (34.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 83.0ms
ival-mult: 23.0ms (27.7% of total)
ival-exp: 17.0ms (20.4% of total)
ival-sub: 14.0ms (16.8% of total)
ival-div: 10.0ms (12% of total)
ival-add: 7.0ms (8.4% of total)
ival-neg: 6.0ms (7.2% of total)
backward-pass: 4.0ms (4.8% of total)
const: 1.0ms (1.2% of total)

bsearch195.0ms (1.1%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
23.0ms
2.1290752767767713e+166
1.916315990628767e+171
56.0ms
2.295733082946335e-38
3.115506719065784e-33
73.0ms
1.7204943994400952e-216
1.6578411201988574e-207
25.0ms
-1.1871204450619309e-27
-1.880846177381586e-28
Results
68.0ms364×0valid
63.0ms67×2valid
28.0ms97×1valid
Compiler

Compiled 1008 to 674 computations (33.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 134.0ms
ival-div: 36.0ms (26.8% of total)
ival-exp: 28.0ms (20.8% of total)
ival-mult: 21.0ms (15.6% of total)
ival-neg: 19.0ms (14.1% of total)
ival-sub: 12.0ms (8.9% of total)
ival-add: 12.0ms (8.9% of total)
backward-pass: 5.0ms (3.7% of total)
const: 1.0ms (0.7% of total)

bsearch129.0ms (0.8%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
23.0ms
2.1290752767767713e+166
1.916315990628767e+171
49.0ms
2.295733082946335e-38
3.115506719065784e-33
43.0ms
-749873.3757198598
-0.05302399705852079
Results
50.0ms321×0valid
26.0ms49×2valid
20.0ms62×1valid
Compiler

Compiled 756 to 509 computations (32.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-div: 19.0ms (24.6% of total)
ival-mult: 16.0ms (20.7% of total)
ival-exp: 15.0ms (19.4% of total)
ival-sub: 10.0ms (12.9% of total)
ival-neg: 6.0ms (7.8% of total)
ival-add: 6.0ms (7.8% of total)
backward-pass: 4.0ms (5.2% of total)
const: 1.0ms (1.3% of total)

bsearch143.0ms (0.8%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
26.0ms
2.1290752767767713e+166
1.916315990628767e+171
48.0ms
0.0032048272517172906
12458.26632603886
58.0ms
-749873.3757198598
-0.05302399705852079
Results
39.0ms301×0valid
33.0ms48×2valid
26.0ms83×1valid
Compiler

Compiled 684 to 473 computations (30.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-exp: 22.0ms (28% of total)
ival-mult: 17.0ms (21.6% of total)
ival-div: 12.0ms (15.3% of total)
ival-sub: 10.0ms (12.7% of total)
ival-add: 7.0ms (8.9% of total)
ival-neg: 6.0ms (7.6% of total)
backward-pass: 5.0ms (6.4% of total)
const: 1.0ms (1.3% of total)

bsearch122.0ms (0.7%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
23.0ms
2.1290752767767713e+166
1.916315990628767e+171
42.0ms
0.0032048272517172906
12458.26632603886
44.0ms
-749873.3757198598
-0.05302399705852079
Results
44.0ms322×0valid
30.0ms51×2valid
20.0ms59×1valid
Compiler

Compiled 666 to 464 computations (30.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-mult: 20.0ms (26.7% of total)
ival-exp: 15.0ms (20% of total)
ival-div: 13.0ms (17.4% of total)
ival-sub: 10.0ms (13.4% of total)
ival-neg: 6.0ms (8% of total)
ival-add: 6.0ms (8% of total)
backward-pass: 4.0ms (5.3% of total)
const: 1.0ms (1.3% of total)

bsearch209.0ms (1.2%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
24.0ms
2.1290752767767713e+166
1.916315990628767e+171
127.0ms
0.0032048272517172906
12458.26632603886
40.0ms
-4.252891242443654e-10
-5.861642267509957e-13
Results
100.0ms43×1valid
40.0ms310×0valid
34.0ms63×2valid
Compiler

Compiled 570 to 411 computations (27.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-mult: 16.0ms (23.4% of total)
ival-exp: 14.0ms (20.5% of total)
ival-div: 12.0ms (17.5% of total)
ival-sub: 9.0ms (13.2% of total)
ival-add: 6.0ms (8.8% of total)
ival-neg: 6.0ms (8.8% of total)
backward-pass: 4.0ms (5.8% of total)
const: 1.0ms (1.5% of total)

bsearch116.0ms (0.7%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
27.0ms
2.1290752767767713e+166
1.916315990628767e+171
43.0ms
0.0032048272517172906
12458.26632603886
35.0ms
-4.252891242443654e-10
-5.861642267509957e-13
Results
42.0ms304×0valid
23.0ms70×1valid
23.0ms42×2valid
Compiler

Compiled 554 to 403 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-exp: 16.0ms (23% of total)
ival-mult: 15.0ms (21.5% of total)
ival-sub: 13.0ms (18.7% of total)
ival-div: 9.0ms (12.9% of total)
ival-add: 6.0ms (8.6% of total)
ival-neg: 6.0ms (8.6% of total)
backward-pass: 4.0ms (5.7% of total)
const: 1.0ms (1.4% of total)

bsearch89.0ms (0.5%)

Algorithm
3×binary-search
Stop Event
1×predicate-same
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
37.0ms
2.1290752767767713e+166
1.916315990628767e+171
21.0ms
3.370725336758751e+91
1.2477921656338696e+95
24.0ms
473468274.4051763
159649685606.96735
Results
69.0ms352×0valid
Compiler

Compiled 296 to 241 computations (18.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-mult: 31.0ms (53.4% of total)
ival-add: 6.0ms (10.3% of total)
ival-exp: 6.0ms (10.3% of total)
ival-sub: 5.0ms (8.6% of total)
ival-div: 5.0ms (8.6% of total)
ival-neg: 3.0ms (5.2% of total)
const: 1.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

bsearch25.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
22.0ms
473468274.4051763
159649685606.96735
Results
18.0ms128×0valid
Compiler

Compiled 100 to 87 computations (13% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 3.0ms (21.8% of total)
ival-neg: 3.0ms (21.8% of total)
ival-sub: 2.0ms (14.5% of total)
ival-div: 2.0ms (14.5% of total)
ival-exp: 2.0ms (14.5% of total)
ival-add: 1.0ms (7.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify42.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
136×*-commutative_binary64
86×+-commutative_binary64
30×sub-neg_binary64
20×neg-sub0_binary64
20×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02911441
14021441
24281441
34481441
44631441
54691441
64721441
74731441
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 eps #s(literal 1936908127739503/2305843009213693952 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (exp.f64 (*.f64 x (/.f64 (/.f64 eps #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(if (<=.f64 eps #s(literal 1936908127739503/2305843009213693952 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(if (<=.f64 eps #s(literal 1936908127739503/2305843009213693952 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
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(if (<=.f64 x #s(literal -6576556458703583/19342813113834066795298816 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x)) (if (<=.f64 x #s(literal 3458764513820541/288230376151711744 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (if (<=.f64 x #s(literal 820000000000000009452693431716575364121617918950640950788575762106183074480591848731446937577941816489052851064544069137593618652833488045820099331177264711905228479266816 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x)) #s(literal 0 binary64))))
(if (<=.f64 x #s(literal 480000000 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 74999999999999997811069078942577770588935703963063779280693754915102251112219634948682188587008 binary64)) #s(literal 0 binary64) (if (<=.f64 x #s(literal 800000000000000027535243447449962247341710162379341979765549181400520783701051580431138126517958618547977432681179383320622653769672155357146863676002402572597402036862976 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)) #s(literal 0 binary64))))
(if (<=.f64 x #s(literal 480000000 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
Outputs
(if (<=.f64 eps #s(literal 1936908127739503/2305843009213693952 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (exp.f64 (*.f64 x (/.f64 (/.f64 eps #s(literal 2 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(if (<=.f64 eps #s(literal 1936908127739503/2305843009213693952 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(if (<=.f64 eps #s(literal 1936908127739503/2305843009213693952 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(if (<=.f64 eps #s(literal 1936908127739503/2305843009213693952 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 eps x)))))
(if (<=.f64 eps #s(literal 1936908127739503/2305843009213693952 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) (+.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)))))
(if (<=.f64 eps #s(literal 1936908127739503/2305843009213693952 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.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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(if (<=.f64 x #s(literal 480000000 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

soundness3.1s (18.4%)

Rules
7148×+-lowering-+.f64
7148×+-lowering-+.f32
4938×*-lowering-*.f32
4938×*-lowering-*.f64
4602×*-lowering-*.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01926
15826
216323
354323
4147922
5545022
0824822
02872189
19622025
236991787
086091787
049310
1330276
23571269
08135269
0120614881
1459614057
0827814057
049271
1330245
23485239
08567239
07987826
129697509
085837509
04145095
114724672
254504226
083484226
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 3784 to 1854 computations (51% saved)

preprocess141.0ms (0.8%)

Compiler

Compiled 3044 to 662 computations (78.3% saved)

end0.0ms (0%)

Profiling

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