NMSE Section 6.1 mentioned, A

Time bar (total: 13.6s)

analyze41.0ms (0.3%)

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 (30.4% of total)
ival-sub: 4.0ms (17.3% of total)
ival-exp: 4.0ms (17.3% of total)
ival-div: 3.0ms (13% of total)
ival-add: 3.0ms (13% of total)
ival-neg: 2.0ms (8.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample2.8s (20.6%)

Results
915.0ms5870×0valid
648.0ms927×2valid
600.0ms1459×1valid
128.0ms941×0unsamplable
Precisions
Click to see histograms. Total time spent on operations: 1.8s
ival-mult: 512.0ms (28.4% of total)
ival-exp: 338.0ms (18.8% of total)
ival-div: 258.0ms (14.3% of total)
ival-sub: 239.0ms (13.3% of total)
ival-neg: 179.0ms (9.9% of total)
ival-add: 165.0ms (9.2% of total)
backward-pass: 90.0ms (5% of total)
const: 21.0ms (1.2% of total)
Bogosity

preprocess224.0ms (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)

explain263.0ms (1.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
736(-5.805509635095937e-106 1.4485018809888959e-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
68.0ms358×0valid
62.0ms100×1valid
39.0ms54×2valid
Compiler

Compiled 319 to 59 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 94.0ms
ival-exp: 25.0ms (26.5% of total)
ival-mult: 20.0ms (21.2% of total)
ival-sub: 13.0ms (13.8% of total)
ival-div: 12.0ms (12.7% of total)
backward-pass: 8.0ms (8.5% of total)
ival-add: 8.0ms (8.5% of total)
ival-neg: 7.0ms (7.4% 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
▶72.4%
(-.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)

simplify140.0ms (1%)

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)

localize104.0ms (0.8%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.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 x (-.f64 #s(literal -1 binary64) eps))
✓accuracy72.4%
(-.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
31.0ms177×0valid
26.0ms28×2valid
19.0ms51×1valid
Compiler

Compiled 101 to 19 computations (81.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-exp: 17.0ms (34.7% of total)
ival-mult: 10.0ms (20.4% of total)
ival-div: 6.0ms (12.2% of total)
ival-add: 6.0ms (12.2% of total)
ival-sub: 5.0ms (10.2% of total)
backward-pass: 4.0ms (8.2% of total)
const: 1.0ms (2% of total)

series30.0ms (0.2%)

Counts
6 → 144
Calls
Call 1
Inputs
#<alt (- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))>
#<alt (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps)))>
#<alt (exp (* x (+ eps -1)))>
#<alt (* x (+ eps -1))>
#<alt (* x (- -1 eps))>
#<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 (* 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 (- (* 1/2 (/ 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

36 calls:

TimeVariablePointExpression
3.0ms
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)))

rewrite351.0ms (2.6%)

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
01864
112864
2110864
0852364
Stop Event
1×iter limit
1×node limit
Counts
6 → 271
Calls
Call 1
Inputs
(- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps)))
(exp (* x (+ eps -1)))
(* x (+ eps -1))
(* x (- -1 eps))
(* (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))))))
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(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1/2 binary64) (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 eps #s(literal 1/2 binary64))))
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(/.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 1/2 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 (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) eps))))
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(/.f64 (neg.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)))))) (neg.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)) (-.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 (neg.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)))) (neg.f64 (-.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 (neg.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 0 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 (neg.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 0 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(/.f64 (neg.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 0 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 (neg.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 0 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (/.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (/.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -1/8 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 eps #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 eps #s(literal 1/2 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)))
(*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(*.f64 (+.f64 (/.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (/.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)))))

simplify230.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
3436×+-lowering-+.f64
3436×+-lowering-+.f32
3182×*-lowering-*.f32
3182×*-lowering-*.f64
1904×sum5-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02942343
19902084
237801831
085551831
Stop Event
1×iter limit
1×node limit
Counts
144 → 144
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))))))
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(- (* 1/2 (exp (* x (- eps 1)))) (* -1/2 (exp (* -1 (* x (+ 1 eps))))))
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(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))
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(/ (+ (* 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)
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(+ (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps)))
(+ (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps)))
1
(+ 1 (* x (- eps 1)))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* -1 x))
(+ (exp (* -1 x)) (* eps (* x (exp (* -1 x)))))
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))
(+ (exp (* -1 x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x))))))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(* x (- eps 1))
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(* -1 x)
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(* eps (+ x (* -1 (/ x eps))))
(* eps (+ x (* -1 (/ x eps))))
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(* -1 (* x (+ 1 eps)))
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(- (* 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))
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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))
(/ (+ (* 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)
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Outputs
1
#s(literal 1 binary64)
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eval67.0ms (0.5%)

Compiler

Compiled 22034 to 1321 computations (94% saved)

prune55.0ms (0.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New40411415
Fresh000
Picked101
Done000
Total40511416
Accuracy
100.0%
Counts
416 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.9%
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#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))) #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))) (/.f64 (*.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))))))))
31.0%
(-.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))))
72.4%
(-.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 x (/.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 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))))
▶36.7%
(-.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))))
51.0%
(-.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))))
▶39.0%
(-.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)))
74.5%
(+.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 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps)))))))))
▶39.1%
(+.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 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 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps)))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
58.6%
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
▶99.6%
(*.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)))))
▶42.9%
#s(literal 1 binary64)
Compiler

Compiled 2084 to 442 computations (78.8% saved)

simplify156.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64))))
✓cost-diff0
(*.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)))
✓cost-diff0
(-.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))))
✓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 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
✓cost-diff384
(+.f64 (*.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 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps)))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
✓cost-diff384
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.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 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps)))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
✓cost-diff384
(*.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 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 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps)))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
✓cost-diff384
(+.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 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 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps)))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
✓cost-diff0
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
✓cost-diff0
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
✓cost-diff0
(+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Rules
2994×*-lowering-*.f32
2994×*-lowering-*.f64
2354×+-lowering-+.f64
2354×+-lowering-+.f32
1480×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051885
1200875
2991796
08260796
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 (+ (* (+ 1/2 (/ 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 (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps)))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))))
1
(* x (+ (* (+ 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 (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps)))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))
x
(+ (* (+ 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 (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps)))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))
(* (+ 1/2 (/ 1/2 eps)) (+ eps -1))
(+ 1/2 (/ 1/2 eps))
1/2
(/ 1/2 eps)
eps
(+ eps -1)
-1
(+ (* 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 (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps)))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))
(* 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 (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -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 eps) (* (+ (/ 1/2 eps) -1/2) (- -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))))
(+ (/ 1/2 eps) -1/2)
-1/2
(* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (- -1 eps)))
(* -1/6 (+ 1 eps))
-1/6
(+ 1 eps)
(* (+ 1 eps) (- -1 eps))
(- -1 eps)
(* 1/2 (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps))))
(* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps)))
(* (+ (/ 1/2 eps) -1/2) (- -1 eps))
(* (+ 1 eps) (+ (/ 1/2 eps) -1/2))
(- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 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
(+ (/ 1/2 eps) -1/2)
(/ 1/2 eps)
(- (* (+ 1 (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(* (+ 1 (* x (+ eps -1))) (- 1/2 (/ -1/2 eps)))
(+ 1 (* x (+ eps -1)))
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
(* 1/2 (+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
1/2
#s(literal 1/2 binary64)
(+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps))))
(+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(exp (* x (+ eps -1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(* x (+ eps -1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
x
(+ eps -1)
(+.f64 eps #s(literal -1 binary64))
eps
-1
#s(literal -1 binary64)
(exp (* x (- -1 eps)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(* x (- -1 eps))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
1
#s(literal 1 binary64)
(+ 1 (* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (+ (* 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 (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps)))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 eps #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))) x)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))))
1
#s(literal 1 binary64)
(* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (+ (* 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 (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps)))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))
(*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 eps #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))) x)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))))
x
(+ (* (+ 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 (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps)))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))
(+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 eps #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))) x)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))
(* (+ 1/2 (/ 1/2 eps)) (+ eps -1))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(+ 1/2 (/ 1/2 eps))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
1/2
#s(literal 1/2 binary64)
(/ 1/2 eps)
(/.f64 #s(literal 1/2 binary64) eps)
eps
(+ eps -1)
(+.f64 eps #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(+ (* 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 (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps)))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))
(+.f64 (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 eps #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))) x)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) 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 (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps))))))
(*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 eps #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))) x)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) 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 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps)))))
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 eps #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))) x)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) 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))))))
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 x (*.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 binary64))))))
(* (+ 1/2 (/ 1/2 eps)) (* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))
(* (* (+ eps -1) (+ eps -1)) (+ (* (* x 1/6) (+ eps -1)) 1/2))
(*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.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 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64)))
(* (* x 1/6) (+ eps -1))
(*.f64 (*.f64 x (+.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 #s(literal -1 binary64) eps) (*.f64 (*.f64 x (*.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 binary64)))))
(* (+ (/ 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 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))
(+ (/ 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)
(* (* -1/6 (+ 1 eps)) (* (+ 1 eps) (- -1 eps)))
(*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 eps #s(literal 1 binary64))))
(* -1/6 (+ 1 eps))
(*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))
-1/6
#s(literal -1/6 binary64)
(+ 1 eps)
(+.f64 eps #s(literal 1 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 (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps))))
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.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 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps)))
(*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(* (+ (/ 1/2 eps) -1/2) (- -1 eps))
(*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(* (+ 1 eps) (+ (/ 1/2 eps) -1/2))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 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 #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)
(+ (/ 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 (* x (+ eps -1))) (- 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 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 1 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))) (- 1/2 (/ -1/2 eps)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)))
(+ 1 (* x (+ eps -1)))
(+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64))
1
#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)

localize712.0ms (5.2%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
✓accuracy100.0%
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
✓accuracy100.0%
(*.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)))
✓accuracy69.7%
(-.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))))
✓accuracy100.0%
(+.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)))
✓accuracy100.0%
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
✓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 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
✓accuracy93.3%
(*.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 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))))
✓accuracy57.5%
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.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 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps)))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
✓accuracy56.7%
(+.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 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps)))))
✓accuracy48.0%
(+.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%
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
✓accuracy100.0%
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
✓accuracy100.0%
(+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
✓accuracy100.0%
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
Results
418.0ms192×1valid
114.0ms52×2valid
9.0ms3×3valid
4.0ms8×0valid
4.0ms1×5exit
Compiler

Compiled 944 to 52 computations (94.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 245.0ms
ival-mult: 89.0ms (36.4% of total)
backward-pass: 49.0ms (20% of total)
ival-add: 40.0ms (16.4% of total)
...c/correct-round.rkt:119:19: 26.0ms (10.6% of total)
ival-exp: 16.0ms (6.5% of total)
ival-sub: 14.0ms (5.7% of total)
ival-div: 9.0ms (3.7% of total)
const: 2.0ms (0.8% of total)

series47.0ms (0.3%)

Counts
19 → 444
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 (+ (* (+ 1/2 (/ 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 (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps)))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))))>
#<alt (* x (+ (* (+ 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 (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps)))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))>
#<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 (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps)))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))>
#<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 (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps)))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))>
#<alt (- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (+ (/ 1/2 eps) -1/2))>
#<alt (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps)))>
#<alt (- (* (+ 1 (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))>
#<alt (* (+ 1 (* x (+ eps -1))) (- 1/2 (/ -1/2 eps)))>
#<alt (+ 1 (* x (+ eps -1)))>
#<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 (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -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 (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps))))))>
#<alt (+ (/ 1/2 eps) -1/2)>
#<alt (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))>
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)>
#<alt (* (pow eps 3) (* (pow x 2) (+ (* -1/12 x) (* 1/12 x))))>
#<alt (* (pow eps 3) (+ (* (pow x 2) (+ (* -1/12 x) (* 1/12 x))) (/ (* (pow x 2) (+ 1/4 (+ (* -1/6 x) (+ (* -1/12 x) (* 1/2 (+ 1/2 (* -1/6 x))))))) eps)))>
#<alt (* (pow eps 3) (+ (* (pow x 2) (+ (* -1/12 x) (* 1/12 x))) (+ (/ (* (pow x 2) (+ 1/4 (+ (* -1/2 (+ 1/2 (* -1/6 x))) (* -1/12 x)))) (pow eps 2)) (/ (* (pow x 2) (+ 1/4 (+ (* -1/6 x) (+ (* -1/12 x) (* 1/2 (+ 1/2 (* -1/6 x))))))) eps))))>
#<alt (* (pow eps 3) (+ (* (pow x 2) (+ (* -1/12 x) (* 1/12 x))) (+ (/ 1 (pow eps 3)) (+ (/ (* (pow x 2) (+ 1/4 (+ (* -1/2 (+ 1/2 (* -1/6 x))) (* -1/12 x)))) (pow eps 2)) (+ (/ (* (pow x 2) (+ 1/4 (+ (* -1/6 x) (+ (* -1/12 x) (* 1/2 (+ 1/2 (* -1/6 x))))))) eps) (/ (* (pow x 2) (- (+ (* -1/2 (+ 1/2 (* -1/6 x))) (+ (* 1/12 x) (* 1/6 x))) 1/4)) (pow eps 3)))))))>
#<alt (* -1 (* (pow eps 3) (* (pow x 2) (+ (* -1/12 x) (* 1/12 x)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (* (pow x 2) (+ 1/4 (+ (* -1/6 x) (+ (* 1/12 x) (* 1/2 (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))))))) eps)) (* (pow x 2) (+ (* -1/12 x) (* 1/12 x))))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (- (+ (* -1/2 (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))) (* 1/2 (+ (* -1/6 x) (* 2 (+ 1/2 (* -1/6 x)))))) 1/4)) eps)) (* (pow x 2) (+ 1/4 (+ (* -1/6 x) (+ (* 1/12 x) (* 1/2 (+ 1/2 (+ (* -1/3 x) (* -1/6 x))))))))) eps)) (* (pow x 2) (+ (* -1/12 x) (* 1/12 x))))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* (pow x 2) (- (+ (* -1/2 (+ (* -1/6 x) (* 2 (+ 1/2 (* -1/6 x))))) (+ (* 1/6 x) (* 1/2 (+ 1/2 (* -1/6 x))))) 1/4))) eps)) (* (pow x 2) (- (+ (* -1/2 (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))) (* 1/2 (+ (* -1/6 x) (* 2 (+ 1/2 (* -1/6 x)))))) 1/4))) eps)) (* (pow x 2) (+ 1/4 (+ (* -1/6 x) (+ (* 1/12 x) (* 1/2 (+ 1/2 (+ (* -1/3 x) (* -1/6 x))))))))) eps)) (* (pow x 2) (+ (* -1/12 x) (* 1/12 x))))))>
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Calls

111 calls:

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

rewrite653.0ms (4.8%)

Algorithm
1×batch-egg-rewrite
Rules
2808×*-lowering-*.f32
2808×*-lowering-*.f64
2022×sum4-define
1996×sum5-define
1530×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051590
1397580
24790559
08393559
Stop Event
1×iter limit
1×node limit
Counts
19 → 330
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 (+ (* (+ 1/2 (/ 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 (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps)))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))))
(* x (+ (* (+ 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 (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -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 (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps)))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))
(+ (* 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 (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps)))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))
(- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (+ (/ 1/2 eps) -1/2))
(* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps)))
(- (* (+ 1 (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(* (+ 1 (* x (+ eps -1))) (- 1/2 (/ -1/2 eps)))
(+ 1 (* x (+ eps -1)))
(* 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 (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -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 (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps))))))
(+ (/ 1/2 eps) -1/2)
(* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))
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 (+.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))))) (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 (+.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))))) (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 (+.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))))) (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 (+.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))))) (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 (+.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))))) (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 (+.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))))) (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 #s(literal 1 binary64) (*.f64 x eps)) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(+.f64 (*.f64 (*.f64 x eps) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(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 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) x) (+.f64 eps #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 eps #s(literal -1 binary64))) x)
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(fma.f64 (/.f64 #s(literal 1/2 binary64) eps) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 eps #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 eps #s(literal 1/2 binary64))) (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 eps #s(literal 1/2 binary64)))) (-.f64 (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1/2 binary64)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1/2 binary64))) (*.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 eps #s(literal 1/2 binary64))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 eps #s(literal 1/2 binary64))) (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 eps #s(literal 1/2 binary64)))) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1/2 binary64)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1/2 binary64)))) (-.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 eps #s(literal 1/2 binary64))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1/2 binary64))))
(/.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 (/.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 1/2 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 (/.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 1/2 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 1/2 binary64) eps) #s(literal -1/2 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))

simplify505.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
5936×+-lowering-+.f64
5936×+-lowering-+.f32
5366×*-lowering-*.f32
5366×*-lowering-*.f64
1900×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
096812321
1369111452
0894111452
Stop Event
1×iter limit
1×node limit
Counts
444 → 444
Calls
Call 1
Inputs
1
(+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)))))
(+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(exp (* -1 x))
(+ (exp (* -1 x)) (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))))
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))))
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
2
(+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1)))
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- eps 1) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))))) 1)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(* 2 (exp (* -1 x)))
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x)))))))
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x)))))) (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x)))))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))
1
(+ 1 (* x (- eps 1)))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* -1 x))
(+ (exp (* -1 x)) (* eps (* x (exp (* -1 x)))))
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))
(+ (exp (* -1 x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x))))))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* -1 x)
(+ (* -1 x) (* eps x))
(+ (* -1 x) (* eps x))
(+ (* -1 x) (* eps x))
(* eps x)
(* eps (+ x (* -1 (/ x eps))))
(* eps (+ x (* -1 (/ x eps))))
(* eps (+ x (* -1 (/ x eps))))
(* eps x)
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
1
(+ 1 (* x (+ (* (+ 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))))) (+ (* (+ 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)))))))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))
(* (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)))))
(* (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))))))
(* (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))))))))
(* (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)))))))))
(* -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))))))
(* -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)))))))
(* -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)))))))
(* -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)))))))
(/ (* (pow x 2) (- (+ (* 1/12 x) (* 1/2 (+ 1/2 (* -1/6 x)))) 1/4)) eps)
(/ (+ (* 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)
(/ (+ (* 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)
(/ (+ (* 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)
(* (pow eps 3) (* (pow x 2) (+ (* -1/12 x) (* 1/12 x))))
(* (pow eps 3) (+ (* (pow x 2) (+ (* -1/12 x) (* 1/12 x))) (/ (* (pow x 2) (+ 1/4 (+ (* -1/6 x) (+ (* -1/12 x) (* 1/2 (+ 1/2 (* -1/6 x))))))) eps)))
(* (pow eps 3) (+ (* (pow x 2) (+ (* -1/12 x) (* 1/12 x))) (+ (/ (* (pow x 2) (+ 1/4 (+ (* -1/2 (+ 1/2 (* -1/6 x))) (* -1/12 x)))) (pow eps 2)) (/ (* (pow x 2) (+ 1/4 (+ (* -1/6 x) (+ (* -1/12 x) (* 1/2 (+ 1/2 (* -1/6 x))))))) eps))))
(* (pow eps 3) (+ (* (pow x 2) (+ (* -1/12 x) (* 1/12 x))) (+ (/ 1 (pow eps 3)) (+ (/ (* (pow x 2) (+ 1/4 (+ (* -1/2 (+ 1/2 (* -1/6 x))) (* -1/12 x)))) (pow eps 2)) (+ (/ (* (pow x 2) (+ 1/4 (+ (* -1/6 x) (+ (* -1/12 x) (* 1/2 (+ 1/2 (* -1/6 x))))))) eps) (/ (* (pow x 2) (- (+ (* -1/2 (+ 1/2 (* -1/6 x))) (+ (* 1/12 x) (* 1/6 x))) 1/4)) (pow eps 3)))))))
(* -1 (* (pow eps 3) (* (pow x 2) (+ (* -1/12 x) (* 1/12 x)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (* (pow x 2) (+ 1/4 (+ (* -1/6 x) (+ (* 1/12 x) (* 1/2 (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))))))) eps)) (* (pow x 2) (+ (* -1/12 x) (* 1/12 x))))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (- (+ (* -1/2 (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))) (* 1/2 (+ (* -1/6 x) (* 2 (+ 1/2 (* -1/6 x)))))) 1/4)) eps)) (* (pow x 2) (+ 1/4 (+ (* -1/6 x) (+ (* 1/12 x) (* 1/2 (+ 1/2 (+ (* -1/3 x) (* -1/6 x))))))))) eps)) (* (pow x 2) (+ (* -1/12 x) (* 1/12 x))))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* (pow x 2) (- (+ (* -1/2 (+ (* -1/6 x) (* 2 (+ 1/2 (* -1/6 x))))) (+ (* 1/6 x) (* 1/2 (+ 1/2 (* -1/6 x))))) 1/4))) eps)) (* (pow x 2) (- (+ (* -1/2 (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))) (* 1/2 (+ (* -1/6 x) (* 2 (+ 1/2 (* -1/6 x)))))) 1/4))) eps)) (* (pow x 2) (+ 1/4 (+ (* -1/6 x) (+ (* 1/12 x) (* 1/2 (+ 1/2 (+ (* -1/3 x) (* -1/6 x))))))))) eps)) (* (pow x 2) (+ (* -1/12 x) (* 1/12 x))))))
(* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))
(* 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)))))
(* 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)))))
(* 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)))))
(* (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)))))
(* (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))))))
(* (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))))))))
(* (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 eps 3) (+ (* -1/12 x) (* 1/12 x))))
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(* -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)))))
(+ (* -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 (* (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 (* (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 (* (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 (+ (* 1/6 (* (+ 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)) 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))))))
(* x (+ (* -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))))))
(* x (+ (* -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 (* 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 eps)
(/ (+ 1/2 (* -1/2 eps)) eps)
(/ (+ 1/2 (* -1/2 eps)) eps)
(/ (+ 1/2 (* -1/2 eps)) eps)
-1/2
(- (* 1/2 (/ 1 eps)) 1/2)
(- (* 1/2 (/ 1 eps)) 1/2)
(- (* 1/2 (/ 1 eps)) 1/2)
-1/2
(- (* 1/2 (/ 1 eps)) 1/2)
(- (* 1/2 (/ 1 eps)) 1/2)
(- (* 1/2 (/ 1 eps)) 1/2)
(- (* 1/2 (/ 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 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (+.f64 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))))))
(+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 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 #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 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(+ (exp (* -1 x)) (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))))
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))))
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 x x))) #s(literal 0 binary64))))
(+ (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)))))))))
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 eps (+.f64 (*.f64 eps (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 x x)) (*.f64 eps #s(literal 0 binary64))))) #s(literal 0 binary64))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
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(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(* 1/2 (/ (exp (* -1 x)) eps))
(/.f64 (*.f64 #s(literal 1/2 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)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x))))))) eps)
(/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* -1/2 (exp (* -1 x))) (+ (* -1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (* x (exp (* -1 x)))))))))) eps)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x))))) (*.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (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 (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))))))))) eps)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x))))) (*.f64 eps (+.f64 (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (*.f64 eps (+.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 x x)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 x (*.f64 x x))) #s(literal -1/12 binary64))))))))) eps)
(* -1/2 (exp (* -1 (* x (+ 1 eps)))))
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1/2 binary64))
(+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps)))
(+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) eps))
(+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps)))
(+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) eps))
(+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps)))
(+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) eps))
(* -1/2 (exp (* x (- (* -1 eps) 1))))
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1/2 binary64))
(+ (* -1/2 (exp (* x (- (* -1 eps) 1)))) (* 1/2 (/ (exp (* x (- (* -1 eps) 1))) eps)))
(+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) eps))
(+ (* -1/2 (exp (* x (- (* -1 eps) 1)))) (* 1/2 (/ (exp (* x (- (* -1 eps) 1))) eps)))
(+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) eps))
(+ (* -1/2 (exp (* x (- (* -1 eps) 1)))) (* 1/2 (/ (exp (* x (- (* -1 eps) 1))) eps)))
(+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) eps))

eval273.0ms (2%)

Compiler

Compiled 66827 to 3410 computations (94.9% saved)

prune122.0ms (0.9%)

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New1036141050
Fresh246
Picked415
Done000
Total1042191061
Accuracy
100.0%
Counts
1061 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.9%
(/.f64 (-.f64 (pow.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))))))) #s(literal 3 binary64)) (pow.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))))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))) (/.f64 (*.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))))) (+.f64 (*.f64 (/.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 (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))) #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))) (/.f64 (*.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))))))))
▶42.9%
(/.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1/4 binary64)))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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)
30.9%
(-.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)))
72.4%
(-.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 x (/.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 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))))
32.5%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 x #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))))))) #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)))
51.0%
(-.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))))
42.5%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))))
51.3%
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1/4 binary64)))) (*.f64 (*.f64 x eps) (+.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)))
▶59.3%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))))
52.1%
(+.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 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/12 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) eps) #s(literal 0 binary64)))))
74.7%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (+.f64 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))))))
▶66.4%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
17.8%
(*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.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 (+.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 (+.f64 (*.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 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1/2 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (/.f64 (+.f64 (+.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (/.f64 #s(literal -1 binary64) x)) x)) x)) (neg.f64 (*.f64 x (*.f64 x x))))
58.6%
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
10.6%
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
64.0%
(*.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)))))
▶83.2%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
▶11.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
✓42.9%
#s(literal 1 binary64)
Compiler

Compiled 2497 to 685 computations (72.6% saved)

simplify247.0ms (1.8%)

Algorithm
1×egg-herbie
Localize:

Found 18 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 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
✓cost-diff768
(+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1/4 binary64)))
✓cost-diff1024
(*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1/4 binary64))))
✓cost-diff1664
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1/4 binary64)))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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-diff1664
(/.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1/4 binary64)))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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-diff128
(*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
✓cost-diff640
(+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))
✓cost-diff640
(*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))))
✓cost-diff640
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))))
✓cost-diff0
(*.f64 x eps)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
✓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
2904×*-lowering-*.f32
2904×*-lowering-*.f64
2036×+-lowering-+.f64
2036×+-lowering-+.f32
1140×--lowering--.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
051457
1176414
2754353
33596312
44774298
57849298
08343298
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
(* 1/2 (* x eps))
1/2
(* x eps)
x
eps
(+ 1 (* x (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* 1/2 (* (* x (+ 1/2 (/ 1/2 eps))) (* (+ eps -1) (+ eps -1)))))))
1
(* x (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* 1/2 (* (* x (+ 1/2 (/ 1/2 eps))) (* (+ eps -1) (+ eps -1))))))
x
(+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* 1/2 (* (* x (+ 1/2 (/ 1/2 eps))) (* (+ eps -1) (+ eps -1)))))
(* (+ eps -1) (+ 1/2 (/ 1/2 eps)))
(+ eps -1)
eps
-1
(+ 1/2 (/ 1/2 eps))
1/2
(/ 1/2 eps)
(* 1/2 (* (* x (+ 1/2 (/ 1/2 eps))) (* (+ eps -1) (+ eps -1))))
(* (* x (+ 1/2 (/ 1/2 eps))) (* (+ eps -1) (+ eps -1)))
(* x (+ 1/2 (/ 1/2 eps)))
(* (+ eps -1) (+ eps -1))
(/ (+ (* (* x x) (+ (* x 1/12) (+ (+ 1/4 (* 1/2 (* x -1/6))) -1/4))) (* eps (+ 1 (* (* x x) (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4)))))) eps)
(+ (* (* x x) (+ (* x 1/12) (+ (+ 1/4 (* 1/2 (* x -1/6))) -1/4))) (* eps (+ 1 (* (* x x) (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4))))))
(* (* x x) (+ (* x 1/12) (+ (+ 1/4 (* 1/2 (* x -1/6))) -1/4)))
(* x x)
x
(+ (* x 1/12) (+ (+ 1/4 (* 1/2 (* x -1/6))) -1/4))
(* x 1/12)
1/12
(+ (+ 1/4 (* 1/2 (* x -1/6))) -1/4)
(+ 1/4 (* 1/2 (* x -1/6)))
1/4
(* 1/2 (* x -1/6))
1/2
(* x -1/6)
-1/6
-1/4
(* eps (+ 1 (* (* x x) (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4)))))
eps
(+ 1 (* (* x x) (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4))))
1
(* (* x 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)))
(* -1/2 (* x -1/6))
-1/2
(+ (* x 1/4) -1/4)
(* x 1/4)
(+ 1/2 (* 1/2 (exp (* x (+ eps -1)))))
1/2
(* 1/2 (exp (* x (+ eps -1))))
(exp (* x (+ eps -1)))
(* x (+ eps -1))
x
(+ eps -1)
eps
-1
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)
(* 1/2 (* x eps))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) x))
1/2
#s(literal 1/2 binary64)
(* x eps)
(*.f64 x eps)
x
eps
(+ 1 (* x (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* 1/2 (* (* x (+ 1/2 (/ 1/2 eps))) (* (+ eps -1) (+ eps -1)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/2 binary64) eps))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))
1
#s(literal 1 binary64)
(* x (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* 1/2 (* (* x (+ 1/2 (/ 1/2 eps))) (* (+ eps -1) (+ eps -1))))))
(*.f64 (*.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/2 binary64) eps))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
x
(+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* 1/2 (* (* x (+ 1/2 (/ 1/2 eps))) (* (+ eps -1) (+ eps -1)))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/2 binary64) eps)))
(* (+ eps -1) (+ 1/2 (/ 1/2 eps)))
(+.f64 (/.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/2 binary64) eps))
(+ 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 (* (* x (+ 1/2 (/ 1/2 eps))) (* (+ eps -1) (+ eps -1))))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal 1/2 binary64) x)))
(* (* x (+ 1/2 (/ 1/2 eps))) (* (+ eps -1) (+ eps -1)))
(*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(* x (+ 1/2 (/ 1/2 eps)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(* (+ eps -1) (+ eps -1))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))
(/ (+ (* (* x x) (+ (* x 1/12) (+ (+ 1/4 (* 1/2 (* x -1/6))) -1/4))) (* eps (+ 1 (* (* x x) (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4)))))) eps)
(/.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) eps)
(+ (* (* x x) (+ (* x 1/12) (+ (+ 1/4 (* 1/2 (* x -1/6))) -1/4))) (* eps (+ 1 (* (* x x) (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
(* (* x x) (+ (* x 1/12) (+ (+ 1/4 (* 1/2 (* x -1/6))) -1/4)))
#s(literal 0 binary64)
(* x x)
(*.f64 x x)
x
(+ (* x 1/12) (+ (+ 1/4 (* 1/2 (* x -1/6))) -1/4))
#s(literal 0 binary64)
(* x 1/12)
(*.f64 x #s(literal 1/12 binary64))
1/12
#s(literal 1/12 binary64)
(+ (+ 1/4 (* 1/2 (* x -1/6))) -1/4)
(*.f64 x #s(literal -1/12 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 -1/6)
(*.f64 x #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
-1/4
#s(literal -1/4 binary64)
(* eps (+ 1 (* (* x x) (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
eps
(+ 1 (* (* x x) (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))
1
#s(literal 1 binary64)
(* (* x x) (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4)))
(*.f64 (*.f64 x 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)))
(* -1/2 (* 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))
(+ 1/2 (* 1/2 (exp (* x (+ eps -1)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
1/2
#s(literal 1/2 binary64)
(* 1/2 (exp (* x (+ eps -1))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(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)

localize665.0ms (4.9%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
✓accuracy100.0%
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
✓accuracy100.0%
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
✓accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
✓accuracy97.4%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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))))))
✓accuracy96.3%
(/.f64 (+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1/4 binary64)))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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)
✓accuracy78.5%
(*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1/4 binary64))))
✓accuracy50.8%
(+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1/4 binary64))
✓accuracy100.0%
(*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))
✓accuracy99.9%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
✓accuracy94.6%
(*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))))
✓accuracy93.3%
(*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))
✓accuracy100.0%
(*.f64 x eps)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
✓accuracy100.0%
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
✓accuracy100.0%
(exp.f64 (*.f64 x eps))
✓accuracy100.0%
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
✓accuracy100.0%
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
Results
196.0ms82×3valid
156.0ms66×2valid
144.0ms104×1valid
13.0ms3×4valid
3.0ms1×5exit
Compiler

Compiled 496 to 52 computations (89.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 318.0ms
ival-mult: 125.0ms (39.3% of total)
ival-add: 58.0ms (18.3% of total)
backward-pass: 56.0ms (17.6% of total)
...c/correct-round.rkt:119:19: 48.0ms (15.1% of total)
ival-exp: 12.0ms (3.8% of total)
ival-div: 12.0ms (3.8% of total)
ival-sub: 4.0ms (1.3% of total)
const: 3.0ms (0.9% of total)

series56.0ms (0.4%)

Counts
24 → 516
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 (* 1/2 (* x eps))>
#<alt (+ 1 (* x (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* 1/2 (* (* x (+ 1/2 (/ 1/2 eps))) (* (+ eps -1) (+ eps -1)))))))>
#<alt (* x (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* 1/2 (* (* x (+ 1/2 (/ 1/2 eps))) (* (+ eps -1) (+ eps -1))))))>
#<alt (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* 1/2 (* (* x (+ 1/2 (/ 1/2 eps))) (* (+ eps -1) (+ eps -1)))))>
#<alt (* (+ eps -1) (+ 1/2 (/ 1/2 eps)))>
#<alt (/ (+ (* (* x x) (+ (* x 1/12) (+ (+ 1/4 (* 1/2 (* x -1/6))) -1/4))) (* eps (+ 1 (* (* x x) (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4)))))) eps)>
#<alt (+ (* (* x x) (+ (* x 1/12) (+ (+ 1/4 (* 1/2 (* x -1/6))) -1/4))) (* eps (+ 1 (* (* x x) (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4))))))>
#<alt (* (* x x) (+ (* x 1/12) (+ (+ 1/4 (* 1/2 (* x -1/6))) -1/4)))>
#<alt (+ (* x 1/12) (+ (+ 1/4 (* 1/2 (* x -1/6))) -1/4))>
#<alt (+ 1/2 (* 1/2 (exp (* x (+ eps -1)))))>
#<alt (* 1/2 (exp (* x (+ eps -1))))>
#<alt (exp (* x (+ eps -1)))>
#<alt (* x (+ eps -1))>
#<alt (* x (- -1 eps))>
#<alt (exp (* x (- -1 eps)))>
#<alt (* (* x (+ 1/2 (/ 1/2 eps))) (* (+ eps -1) (+ eps -1)))>
#<alt (* x (+ 1/2 (/ 1/2 eps)))>
#<alt (* (+ eps -1) (+ eps -1))>
#<alt (+ (+ 1/4 (* 1/2 (* x -1/6))) -1/4)>
#<alt (* eps (+ 1 (* (* x x) (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4)))))>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (+ eps (* -1 (+ 1 eps))))))>
#<alt (+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))) (* 1/2 (+ eps (* -1 (+ 1 eps)))))))>
#<alt (+ 1 (* x (+ (* 1/2 (+ eps (* -1 (+ 1 eps)))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3))))) (* 1/2 (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2)))))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ 1 (exp (* -1 x))))>
#<alt (+ (* 1/2 (* eps (+ x (* -1 (* x (exp (* -1 x))))))) (* 1/2 (+ 1 (exp (* -1 x)))))>
#<alt (+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2))))) (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))))))>
#<alt (+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2)))))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))>
#<alt 2>
#<alt (+ 2 (* x (+ eps (* -1 (+ 1 eps)))))>
#<alt (+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))))))>
#<alt (+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (+ (* 1/2 (pow (+ 1 eps) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3)))))))))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ 1 (exp (* -1 x)))>
#<alt (+ 1 (+ (exp (* -1 x)) (* eps (+ x (* -1 (* x (exp (* -1 x))))))))>
#<alt (+ 1 (+ (exp (* -1 x)) (* eps (+ x (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2)))))))))>
#<alt (+ 1 (+ (exp (* -1 x)) (* eps (+ x (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (pow x 2)) (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))))))))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))>
#<alt (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))>
#<alt (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))>
#<alt (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))>
#<alt 1>
#<alt (+ 1 (* eps x))>
#<alt (+ 1 (* x (+ eps (* 1/2 (* (pow eps 2) x)))))>
#<alt (+ 1 (* x (+ eps (* x (+ (* 1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2)))))))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt 1>
#<alt (+ 1 (* eps x))>
#<alt (+ 1 (* eps (+ x (* 1/2 (* eps (pow x 2))))))>
#<alt (+ 1 (* eps (+ x (* eps (+ (* 1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt 1>
#<alt (+ 1 (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))))>
#<alt (+ 1 (* x (+ (* 1/2 (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))))>
#<alt (+ 1 (* 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 (* (pow x 2) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)))>
#<alt (* (pow x 2) (+ (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (+ (/ 1 (pow x 2)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x))))>
#<alt (* (pow x 2) (+ (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (+ (/ 1 (pow x 2)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x))))>
#<alt (* 1/2 (* (pow x 2) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1 (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (/ 1 x)) x)) (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1 (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (/ 1 x)) x)) (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))>
#<alt (/ (* x (- (* 1/4 x) 1/2)) eps)>
#<alt (/ (+ (* eps (+ 1 (* -1/4 (pow x 2)))) (* x (- (* 1/4 x) 1/2))) eps)>
#<alt (/ (+ (* eps (+ 1 (+ (* -1/4 (pow x 2)) (* eps (* x (+ 1/2 (* -1/4 x))))))) (* x (- (* 1/4 x) 1/2))) eps)>
#<alt (/ (+ (* eps (+ 1 (+ (* -1/4 (pow x 2)) (* eps (+ (* 1/4 (* eps (pow x 2))) (* x (+ 1/2 (* -1/4 x)))))))) (* x (- (* 1/4 x) 1/2))) eps)>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/4 (pow x 2)) (/ (* x (+ 1/2 (* -1/4 x))) eps)))>
#<alt (* (pow eps 2) (+ (* -1/4 (/ (pow x 2) (pow eps 2))) (+ (* 1/4 (pow x 2)) (+ (/ 1 (pow eps 2)) (/ (* x (+ 1/2 (* -1/4 x))) eps)))))>
#<alt (* (pow eps 2) (+ (* -1/4 (/ (pow x 2) (pow eps 2))) (+ (* 1/4 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (* x (+ 1/2 (* -1/4 x))) eps) (/ (* x (- (* 1/4 x) 1/2)) (pow eps 3)))))))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (* x (- (* 1/4 x) 1/2)) eps)) (* 1/4 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/4 (pow x 2))) eps)) (* x (- (* 1/4 x) 1/2))) eps)) (* 1/4 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1 (/ (* x (+ 1/2 (* -1/4 x))) eps)) (* -1/4 (pow x 2)))) eps)) (* x (- (* 1/4 x) 1/2))) eps)) (* 1/4 (pow x 2))))>
#<alt (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))>
#<alt (* x (+ (* 1/2 (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))))>
#<alt (* x (+ (* 1/2 (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))))>
#<alt (* 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 (* (pow x 2) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)))>
#<alt (* (pow x 2) (+ (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)))>
#<alt (* (pow x 2) (+ (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)))>
#<alt (* 1/2 (* (pow x 2) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)))>
#<alt (* (pow x 2) (+ (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)))>
#<alt (* (pow x 2) (+ (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)))>
#<alt (/ (* x (- (* 1/4 x) 1/2)) eps)>
#<alt (/ (+ (* -1/4 (* eps (pow x 2))) (* x (- (* 1/4 x) 1/2))) eps)>
#<alt (/ (+ (* eps (+ (* -1/4 (pow x 2)) (* eps (* x (+ 1/2 (* -1/4 x)))))) (* x (- (* 1/4 x) 1/2))) eps)>
#<alt (/ (+ (* eps (+ (* -1/4 (pow x 2)) (* eps (+ (* 1/4 (* eps (pow x 2))) (* x (+ 1/2 (* -1/4 x))))))) (* x (- (* 1/4 x) 1/2))) eps)>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/4 (pow x 2)) (/ (* x (+ 1/2 (* -1/4 x))) eps)))>
#<alt (* (pow eps 2) (+ (* -1/4 (/ (pow x 2) (pow eps 2))) (+ (* 1/4 (pow x 2)) (/ (* x (+ 1/2 (* -1/4 x))) eps))))>
#<alt (* (pow eps 2) (+ (* -1/4 (/ (pow x 2) (pow eps 2))) (+ (* 1/4 (pow x 2)) (+ (/ (* x (+ 1/2 (* -1/4 x))) eps) (/ (* x (- (* 1/4 x) 1/2)) (pow eps 3))))))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (* x (- (* 1/4 x) 1/2)) eps)) (* 1/4 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* 1/4 (/ (pow x 2) eps)) (* x (- (* 1/4 x) 1/2))) eps)) (* 1/4 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (+ 1/2 (* -1/4 x))) eps)) (* -1/4 (pow x 2))) eps)) (* x (- (* 1/4 x) 1/2))) eps)) (* 1/4 (pow x 2))))>
#<alt (/ (- (* 1/4 x) 1/2) eps)>
#<alt (/ (- (+ (* -1/4 (* eps x)) (* 1/4 x)) 1/2) eps)>
#<alt (/ (- (+ (* 1/4 x) (* eps (+ (* -1/4 x) (* eps (+ 1/2 (* -1/4 x)))))) 1/2) eps)>
#<alt (/ (- (+ (* 1/4 x) (* eps (+ (* -1/4 x) (* eps (+ 1/2 (+ (* -1/4 x) (* 1/4 (* eps x)))))))) 1/2) eps)>
#<alt (* 1/4 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1/4 (/ x eps)) (+ (* 1/4 x) (* 1/2 (/ 1 eps)))))>
#<alt (* (pow eps 2) (+ (* -1/4 (/ x eps)) (+ (* -1/4 (/ x (pow eps 2))) (+ (* 1/4 x) (* 1/2 (/ 1 eps))))))>
#<alt (* (pow eps 2) (- (+ (* -1/4 (/ x eps)) (+ (* -1/4 (/ x (pow eps 2))) (+ (* 1/4 x) (+ (* 1/4 (/ x (pow eps 3))) (* 1/2 (/ 1 eps)))))) (* 1/2 (/ 1 (pow eps 3)))))>
#<alt (* 1/4 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (* 1/4 x) 1/2) eps)) (* 1/4 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (+ (* 1/4 x) (* 1/4 (/ x eps))) 1/2) eps)) (* 1/4 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (* -1/4 x)) eps)) (* -1/4 x)) eps)) (* 1/4 x)) 1/2) eps)) (* 1/4 x)))>
#<alt (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))>
#<alt (+ (* 1/2 (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))>
#<alt (+ (* 1/2 (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))>
#<alt (+ (* 1/2 (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))>
#<alt (* 1/2 (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))>
#<alt (* x (+ (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)))>
#<alt (* x (+ (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)))>
#<alt (* x (+ (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)))>
#<alt (* 1/2 (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))>
#<alt (* -1 (* x (+ (* -1 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)) (* -1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))))>
#<alt (* -1 (* x (+ (* -1 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)) (* -1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))))>
#<alt (* -1 (* x (+ (* -1 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)) (* -1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))))>
#<alt (/ -1/2 eps)>
#<alt (/ (- (* 1/2 (pow eps 2)) 1/2) eps)>
#<alt (/ (- (* 1/2 (pow eps 2)) 1/2) eps)>
#<alt (/ (- (* 1/2 (pow eps 2)) 1/2) eps)>
#<alt (* 1/2 eps)>
#<alt (* eps (- 1/2 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* eps (- 1/2 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* eps (- 1/2 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* 1/2 eps)>
#<alt (* -1 (* eps (- (* 1/2 (/ 1 (pow eps 2))) 1/2)))>
#<alt (* -1 (* eps (- (* 1/2 (/ 1 (pow eps 2))) 1/2)))>
#<alt (* -1 (* eps (- (* 1/2 (/ 1 (pow eps 2))) 1/2)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))>
#<alt (* 1/3 (pow x 3))>
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))))>
#<alt (* 1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (pow x 2)) 1/2) x)) 1/3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (pow x 2)) 1/2) x)) 1/3)))>
#<alt (/ (* (pow x 2) (+ (* -1/12 x) (* 1/12 x))) eps)>
#<alt (/ (+ (* eps (+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))) (* (pow x 2) (+ (* -1/12 x) (* 1/12 x)))) eps)>
#<alt (/ (+ (* eps (+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))) (* (pow x 2) (+ (* -1/12 x) (* 1/12 x)))) eps)>
#<alt (/ (+ (* eps (+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))) (* (pow x 2) (+ (* -1/12 x) (* 1/12 x)))) eps)>
#<alt (+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))>
#<alt (+ 1 (+ (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2)) (/ (* (pow x 2) (+ (* -1/12 x) (* 1/12 x))) eps)))>
#<alt (+ 1 (+ (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2)) (/ (* (pow x 2) (+ (* -1/12 x) (* 1/12 x))) eps)))>
#<alt (+ 1 (+ (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2)) (/ (* (pow x 2) (+ (* -1/12 x) (* 1/12 x))) eps)))>
#<alt (+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))>
#<alt (+ 1 (+ (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2)) (/ (* (pow x 2) (+ (* -1/12 x) (* 1/12 x))) eps)))>
#<alt (+ 1 (+ (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2)) (/ (* (pow x 2) (+ (* -1/12 x) (* 1/12 x))) eps)))>
#<alt (+ 1 (+ (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2)) (/ (* (pow x 2) (+ (* -1/12 x) (* 1/12 x))) eps)))>
#<alt eps>
#<alt (+ eps (* -1/2 (* eps (pow x 2))))>
#<alt (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/3 (* eps x)))))>
#<alt (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/3 (* eps x)))))>
#<alt (* 1/3 (* eps (pow x 3)))>
#<alt (* (pow x 3) (+ (* -1/2 (/ eps x)) (* 1/3 eps)))>
#<alt (* (pow x 3) (+ (* -1/2 (/ eps x)) (+ (* 1/3 eps) (/ eps (pow x 3)))))>
#<alt (* (pow x 3) (+ (* -1/2 (/ eps x)) (+ (* 1/3 eps) (/ eps (pow x 3)))))>
#<alt (* 1/3 (* eps (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/3 eps) (* 1/2 (/ eps x)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/2 eps) (/ eps (pow x 2))) x)) (* -1/3 eps))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/2 eps) (/ eps (pow x 2))) x)) (* -1/3 eps))))>
#<alt (* (pow x 2) (+ (* -1/12 x) (* 1/12 x)))>
#<alt (+ (* eps (+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))) (* (pow x 2) (+ (* -1/12 x) (* 1/12 x))))>
#<alt (+ (* eps (+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))) (* (pow x 2) (+ (* -1/12 x) (* 1/12 x))))>
#<alt (+ (* eps (+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))) (* (pow x 2) (+ (* -1/12 x) (* 1/12 x))))>
#<alt (* eps (+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2))))>
#<alt (* eps (+ 1 (+ (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2)) (/ (* (pow x 2) (+ (* -1/12 x) (* 1/12 x))) eps))))>
#<alt (* eps (+ 1 (+ (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2)) (/ (* (pow x 2) (+ (* -1/12 x) (* 1/12 x))) eps))))>
#<alt (* eps (+ 1 (+ (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2)) (/ (* (pow x 2) (+ (* -1/12 x) (* 1/12 x))) eps))))>
#<alt (* eps (+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2))))>
#<alt (* -1 (* eps (+ (* -1 (+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))) (* -1 (/ (* (pow x 2) (+ (* -1/12 x) (* 1/12 x))) eps)))))>
#<alt (* -1 (* eps (+ (* -1 (+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))) (* -1 (/ (* (pow x 2) (+ (* -1/12 x) (* 1/12 x))) eps)))))>
#<alt (* -1 (* eps (+ (* -1 (+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2)))) (* -1 (/ (* (pow x 2) (+ (* -1/12 x) (* 1/12 x))) eps)))))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (- eps 1))))>
#<alt (+ 1 (* x (+ (* 1/4 (* x (pow (- eps 1) 2))) (* 1/2 (- eps 1)))))>
#<alt (+ 1 (* x (+ (* 1/2 (- eps 1)) (* x (+ (* 1/12 (* x (pow (- eps 1) 3))) (* 1/4 (pow (- eps 1) 2)))))))>
#<alt (+ 1/2 (* 1/2 (exp (* x (- eps 1)))))>
#<alt (+ 1/2 (* 1/2 (exp (* x (- eps 1)))))>
#<alt (+ 1/2 (* 1/2 (exp (* x (- eps 1)))))>
#<alt (+ 1/2 (* 1/2 (exp (* x (- eps 1)))))>
#<alt (+ 1/2 (* 1/2 (exp (* x (- eps 1)))))>
#<alt (+ 1/2 (* 1/2 (exp (* x (- eps 1)))))>
#<alt (+ 1/2 (* 1/2 (exp (* x (- eps 1)))))>
#<alt (+ 1/2 (* 1/2 (exp (* x (- eps 1)))))>
#<alt (+ 1/2 (* 1/2 (exp (* -1 x))))>
#<alt (+ 1/2 (+ (* 1/2 (exp (* -1 x))) (* 1/2 (* eps (* x (exp (* -1 x)))))))>
#<alt (+ 1/2 (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* 1/4 (* eps (* (pow x 2) (exp (* -1 x))))) (* 1/2 (* x (exp (* -1 x))))))))>
#<alt (+ 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))))))))))>
#<alt (+ 1/2 (* 1/2 (exp (* x (- eps 1)))))>
#<alt (+ 1/2 (* 1/2 (exp (* x (- eps 1)))))>
#<alt (+ 1/2 (* 1/2 (exp (* x (- eps 1)))))>
#<alt (+ 1/2 (* 1/2 (exp (* x (- eps 1)))))>
#<alt (+ 1/2 (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))))>
#<alt (+ 1/2 (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))))>
#<alt (+ 1/2 (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))))>
#<alt (+ 1/2 (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (* x (- eps 1))))>
#<alt (+ 1/2 (* x (+ (* 1/4 (* x (pow (- eps 1) 2))) (* 1/2 (- eps 1)))))>
#<alt (+ 1/2 (* x (+ (* 1/2 (- eps 1)) (* x (+ (* 1/12 (* x (pow (- eps 1) 3))) (* 1/4 (pow (- eps 1) 2)))))))>
#<alt (* 1/2 (exp (* x (- eps 1))))>
#<alt (* 1/2 (exp (* x (- eps 1))))>
#<alt (* 1/2 (exp (* x (- eps 1))))>
#<alt (* 1/2 (exp (* x (- eps 1))))>
#<alt (* 1/2 (exp (* x (- eps 1))))>
#<alt (* 1/2 (exp (* x (- eps 1))))>
#<alt (* 1/2 (exp (* x (- eps 1))))>
#<alt (* 1/2 (exp (* x (- eps 1))))>
#<alt (* 1/2 (exp (* -1 x)))>
#<alt (+ (* 1/2 (exp (* -1 x))) (* 1/2 (* eps (* x (exp (* -1 x))))))>
#<alt (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* 1/4 (* eps (* (pow x 2) (exp (* -1 x))))) (* 1/2 (* x (exp (* -1 x)))))))>
#<alt (+ (* 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)))))))))>
#<alt (* 1/2 (exp (* x (- eps 1))))>
#<alt (* 1/2 (exp (* x (- eps 1))))>
#<alt (* 1/2 (exp (* x (- eps 1))))>
#<alt (* 1/2 (exp (* x (- eps 1))))>
#<alt (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))>
#<alt (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))>
#<alt (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))>
#<alt (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))>
#<alt 1>
#<alt (+ 1 (* x (- eps 1)))>
#<alt (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))>
#<alt (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* -1 x))>
#<alt (+ (exp (* -1 x)) (* eps (* x (exp (* -1 x)))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x))))))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* -1 (* x (+ 1 (* -1 eps)))))>
#<alt (exp (* -1 (* x (+ 1 (* -1 eps)))))>
#<alt (exp (* -1 (* x (+ 1 (* -1 eps)))))>
#<alt (exp (* -1 (* x (+ 1 (* -1 eps)))))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* eps x))>
#<alt (+ (* -1 x) (* eps x))>
#<alt (+ (* -1 x) (* eps x))>
#<alt (* eps x)>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps x)>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (* -1 (* eps x))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* -1 (* eps x))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<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 (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))>
#<alt (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))>
#<alt (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))>
#<alt (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))>
#<alt (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))>
#<alt (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))>
#<alt (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))>
#<alt (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))>
#<alt (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))>
#<alt (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))>
#<alt (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))>
#<alt (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))>
#<alt (* 1/2 (/ x eps))>
#<alt (/ (+ (* -1/2 (* eps x)) (* 1/2 x)) eps)>
#<alt (/ (+ (* 1/2 x) (* eps (+ (* -1/2 x) (* -1/2 (* eps x))))) eps)>
#<alt (/ (+ (* 1/2 x) (* eps (+ (* -1/2 x) (* eps (+ (* -1/2 x) (* 1/2 (* eps x))))))) eps)>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x eps)) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/2 x) (* 1/2 (/ x (pow eps 3)))))))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x eps)) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 x) (* 1/2 (/ x eps))) eps)) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ x eps))) eps)) (* 1/2 x)) eps)) (* 1/2 x)))>
#<alt (* x (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* x (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* x (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* x (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* x (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* x (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* x (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* x (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* x (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* x (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* x (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* x (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* 1/2 (/ x eps))>
#<alt (/ (+ (* 1/2 x) (* 1/2 (* eps x))) eps)>
#<alt (/ (+ (* 1/2 x) (* 1/2 (* eps x))) eps)>
#<alt (/ (+ (* 1/2 x) (* 1/2 (* eps x))) eps)>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* 1/2 (/ x eps)))>
#<alt (+ (* 1/2 x) (* 1/2 (/ x eps)))>
#<alt (+ (* 1/2 x) (* 1/2 (/ x eps)))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* 1/2 (/ x eps)))>
#<alt (+ (* 1/2 x) (* 1/2 (/ x eps)))>
#<alt (+ (* 1/2 x) (* 1/2 (/ x eps)))>
#<alt 1>
#<alt (+ 1 (* -2 eps))>
#<alt (+ 1 (* eps (- eps 2)))>
#<alt (+ 1 (* eps (- eps 2)))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (- 1 (* 2 (/ 1 eps))))>
#<alt (* (pow eps 2) (- (+ 1 (/ 1 (pow eps 2))) (* 2 (/ 1 eps))))>
#<alt (* (pow eps 2) (- (+ 1 (/ 1 (pow eps 2))) (* 2 (/ 1 eps))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (- 1 (* 2 (/ 1 eps))))>
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (- 2 (/ 1 eps)) eps))))>
#<alt (* (pow eps 2) (+ 1 (* -1 (/ (- 2 (/ 1 eps)) eps))))>
#<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)>
#<alt (* eps (+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2))))>
#<alt (* eps (+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2))))>
#<alt (* eps (+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2))))>
#<alt (* eps (+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2))))>
#<alt (* eps (+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2))))>
#<alt (* eps (+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2))))>
#<alt (* eps (+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2))))>
#<alt (* eps (+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2))))>
#<alt (* eps (+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2))))>
#<alt (* eps (+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2))))>
#<alt (* eps (+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2))))>
#<alt (* eps (+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2))))>
#<alt eps>
#<alt (+ eps (* -1/2 (* eps (pow x 2))))>
#<alt (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/3 (* eps x)))))>
#<alt (+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/3 (* eps x)))))>
#<alt (* 1/3 (* eps (pow x 3)))>
#<alt (* (pow x 3) (+ (* -1/2 (/ eps x)) (* 1/3 eps)))>
#<alt (* (pow x 3) (+ (* -1/2 (/ eps x)) (+ (* 1/3 eps) (/ eps (pow x 3)))))>
#<alt (* (pow x 3) (+ (* -1/2 (/ eps x)) (+ (* 1/3 eps) (/ eps (pow x 3)))))>
#<alt (* 1/3 (* eps (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/3 eps) (* 1/2 (/ eps x)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/2 eps) (/ eps (pow x 2))) x)) (* -1/3 eps))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/2 eps) (/ eps (pow x 2))) x)) (* -1/3 eps))))>
Calls

129 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
(/ (+ (* (* x x) (+ (* x 1/12) (+ (+ 1/4 (* 1/2 (* x -1/6))) -1/4))) (* eps (+ 1 (* (* x x) (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4)))))) eps)
6.0ms
x
@inf
(* (* x x) (+ (* x 1/12) (+ (+ 1/4 (* 1/2 (* x -1/6))) -1/4)))
6.0ms
eps
@inf
(* x eps)
2.0ms
eps
@inf
(+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* 1/2 (* (* x (+ 1/2 (/ 1/2 eps))) (* (+ eps -1) (+ eps -1)))))
2.0ms
eps
@0
(* eps (+ 1 (* (* x x) (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4)))))

rewrite412.0ms (3%)

Algorithm
1×batch-egg-rewrite
Rules
3672×*-lowering-*.f32
3672×*-lowering-*.f64
1404×fma-lowering-fma.f32
1404×fma-lowering-fma.f64
1396×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051300
1363274
24164274
08629274
Stop Event
1×iter limit
1×node limit
Counts
24 → 372
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)
(* 1/2 (* x eps))
(+ 1 (* x (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* 1/2 (* (* x (+ 1/2 (/ 1/2 eps))) (* (+ eps -1) (+ eps -1)))))))
(* x (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* 1/2 (* (* x (+ 1/2 (/ 1/2 eps))) (* (+ eps -1) (+ eps -1))))))
(+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* 1/2 (* (* x (+ 1/2 (/ 1/2 eps))) (* (+ eps -1) (+ eps -1)))))
(* (+ eps -1) (+ 1/2 (/ 1/2 eps)))
(/ (+ (* (* x x) (+ (* x 1/12) (+ (+ 1/4 (* 1/2 (* x -1/6))) -1/4))) (* eps (+ 1 (* (* x x) (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4)))))) eps)
(+ (* (* x x) (+ (* x 1/12) (+ (+ 1/4 (* 1/2 (* x -1/6))) -1/4))) (* eps (+ 1 (* (* x x) (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4))))))
(* (* x x) (+ (* x 1/12) (+ (+ 1/4 (* 1/2 (* x -1/6))) -1/4)))
(+ (* x 1/12) (+ (+ 1/4 (* 1/2 (* x -1/6))) -1/4))
(+ 1/2 (* 1/2 (exp (* x (+ eps -1)))))
(* 1/2 (exp (* x (+ eps -1))))
(exp (* x (+ eps -1)))
(* x (+ eps -1))
(* x (- -1 eps))
(exp (* x (- -1 eps)))
(* (* x (+ 1/2 (/ 1/2 eps))) (* (+ eps -1) (+ eps -1)))
(* x (+ 1/2 (/ 1/2 eps)))
(* (+ eps -1) (+ eps -1))
(+ (+ 1/4 (* 1/2 (* x -1/6))) -1/4)
(* eps (+ 1 (* (* x x) (+ (+ -1/4 (* -1/2 (* x -1/6))) (+ (* x 1/4) -1/4)))))
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 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) #s(literal 1/8 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(-.f64 (/.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (neg.f64 (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps)))) (-.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(pow.f64 (/.f64 (+.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) #s(literal -1 binary64))
(*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))))
(*.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(exp.f64 (*.f64 x eps))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) eps))
(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 eps) x)
(pow.f64 (pow.f64 (exp.f64 x) #s(literal 1 binary64)) eps)
(*.f64 (pow.f64 (exp.f64 x) (/.f64 eps #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 eps #s(literal 2 binary64))))
(*.f64 x eps)
(*.f64 eps x)
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(*.f64 x (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 x eps) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) eps)
(*.f64 (*.f64 #s(literal 1/2 binary64) eps) x)
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))))))
(+.f64 (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))))) #s(literal 1 binary64))
(+.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (+.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))))))) (/.f64 (*.f64 (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))))) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))))))))
(fma.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal 1 binary64))
(fma.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 1/2 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) x #s(literal 1 binary64))
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(/.f64 (*.f64 (+.f64 (*.f64 eps eps) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.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)) (+.f64 (*.f64 eps eps) #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 eps (+.f64 eps #s(literal -1 binary64))) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps))) (*.f64 (*.f64 eps (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps))))))
(/.f64 (-.f64 (*.f64 (*.f64 eps (+.f64 eps #s(literal -1 binary64))) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)))) (-.f64 (*.f64 eps (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps))))
(/.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.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 (+.f64 eps #s(literal -1 binary64)) (+.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))) (+.f64 eps #s(literal -1 binary64))) (+.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)) (+.f64 eps #s(literal -1 binary64))) (+.f64 eps #s(literal 1 binary64)))
(pow.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (+.f64 (*.f64 eps eps) #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal 1 binary64))) #s(literal 2 binary64)))
(+.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/12 binary64)) #s(literal -1/4 binary64)))
(+.f64 (*.f64 x #s(literal -1/12 binary64)) #s(literal 0 binary64))
(+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))) #s(literal -1/4 binary64))
(+.f64 #s(literal -1/4 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/12 binary64)))
(+.f64 (+.f64 (*.f64 x #s(literal -1/12 binary64)) #s(literal -1/4 binary64)) #s(literal 1/4 binary64))
(-.f64 (/.f64 (*.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 x #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/16 binary64) (+.f64 (*.f64 x #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) (+.f64 (*.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)))) #s(literal -1/16 binary64))))
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(/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))) (*.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))))) #s(literal -1/64 binary64)) (+.f64 #s(literal 1/16 binary64) (-.f64 (*.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 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))) #s(literal -1/4 binary64)))))
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(/.f64 (neg.f64 (+.f64 (*.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)))) #s(literal -1/16 binary64))) (neg.f64 (+.f64 (*.f64 x #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))
(/.f64 (+.f64 #s(literal 1/64 binary64) (pow.f64 (+.f64 (*.f64 x #s(literal -1/12 binary64)) #s(literal -1/4 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/16 binary64) (-.f64 (*.f64 (+.f64 (*.f64 x #s(literal -1/12 binary64)) #s(literal -1/4 binary64)) (+.f64 (*.f64 x #s(literal -1/12 binary64)) #s(literal -1/4 binary64))) (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/12 binary64)) #s(literal -1/4 binary64))))))
(/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 (*.f64 x #s(literal -1/12 binary64)) #s(literal -1/4 binary64)) (+.f64 (*.f64 x #s(literal -1/12 binary64)) #s(literal -1/4 binary64)))) (-.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 x #s(literal -1/12 binary64)) #s(literal -1/4 binary64))))
(/.f64 (-.f64 #s(literal 1/16 binary64) (*.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 #s(literal -1/4 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64)))))
(pow.f64 (/.f64 (+.f64 (*.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 #s(literal 1/16 binary64) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))) #s(literal -1/4 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))) (*.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))))) #s(literal -1/64 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (*.f64 x #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) (+.f64 (*.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)))) #s(literal -1/16 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))) (*.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))))) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.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 #s(literal 1/16 binary64) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/12 binary64))) #s(literal -1/4 binary64))))))
(*.f64 (+.f64 (*.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)))) #s(literal -1/16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -1/12 binary64)) #s(literal 1/2 binary64))))
(+.f64 eps (*.f64 x (*.f64 (*.f64 x (+.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)))))) eps)))
(+.f64 (*.f64 x (*.f64 (*.f64 x (+.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)))))) eps)) eps)
(fma.f64 eps #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (+.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)))))) eps)))
(fma.f64 #s(literal 1 binary64) eps (*.f64 x (*.f64 (*.f64 x (+.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)))))) eps)))
(/.f64 (+.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 (*.f64 x x) (+.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 (*.f64 (*.f64 x x) (+.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 (*.f64 x x) (+.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 (*.f64 eps eps) (-.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x (+.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)))))) eps)) (*.f64 x (*.f64 (*.f64 x (+.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)))))) eps))) (*.f64 eps (*.f64 x (*.f64 (*.f64 x (+.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)))))) eps))))))
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 (*.f64 x (+.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)))))) eps)) (*.f64 x (*.f64 (*.f64 x (+.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)))))) eps)))) (-.f64 eps (*.f64 x (*.f64 (*.f64 x (+.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)))))) eps))))
(/.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.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 (*.f64 (*.f64 x x) (+.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 (*.f64 x x) (+.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 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.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 (*.f64 (*.f64 x x) (+.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)))))) #s(literal 1 binary64)))))
(/.f64 (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.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 (*.f64 x x) (+.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 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.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 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.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 (*.f64 (*.f64 x x) (+.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 (*.f64 x x) (+.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))))))))) eps) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.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 (*.f64 (*.f64 x x) (+.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)))))) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (+.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 (*.f64 x x) (+.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)))))))) eps) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.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 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.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 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.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))))))) eps)

simplify371.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
5062×*-lowering-*.f32
5062×*-lowering-*.f64
3486×+-lowering-+.f64
3486×+-lowering-+.f32
1886×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05975953
121215126
080885126
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 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))) (* 1/2 (+ eps (* -1 (+ 1 eps)))))))
(+ 1 (* x (+ (* 1/2 (+ eps (* -1 (+ 1 eps)))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3))))) (* 1/2 (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2)))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ 1 (exp (* -1 x))))
(+ (* 1/2 (* eps (+ x (* -1 (* x (exp (* -1 x))))))) (* 1/2 (+ 1 (exp (* -1 x)))))
(+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2))))) (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))))))
(+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2)))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
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1
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1
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eps
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(* 1/2 (exp (* -1 (* x (+ 1 (* -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))))))
1
(+ 1 (* x (- eps 1)))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* -1 x))
(+ (exp (* -1 x)) (* eps (* x (exp (* -1 x)))))
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))
(+ (exp (* -1 x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x))))))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* -1 x)
(+ (* -1 x) (* eps x))
(+ (* -1 x) (* eps x))
(+ (* -1 x) (* eps x))
(* eps x)
(* eps (+ x (* -1 (/ x eps))))
(* eps (+ x (* -1 (/ x eps))))
(* eps (+ x (* -1 (/ x eps))))
(* eps x)
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 x)
(+ (* -1 x) (* -1 (* eps x)))
(+ (* -1 x) (* -1 (* eps x)))
(+ (* -1 x) (* -1 (* eps x)))
(* -1 (* eps x))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* -1 (* eps x))
(* -1 (* eps (+ x (/ x eps))))
(* -1 (* eps (+ x (/ x eps))))
(* -1 (* eps (+ x (/ x eps))))
1
(+ 1 (* -1 (* x (+ 1 eps))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 x))
(+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x))))))
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))))))
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))
(* 1/2 (/ x eps))
(/ (+ (* -1/2 (* eps x)) (* 1/2 x)) eps)
(/ (+ (* 1/2 x) (* eps (+ (* -1/2 x) (* -1/2 (* eps x))))) eps)
(/ (+ (* 1/2 x) (* eps (+ (* -1/2 x) (* eps (+ (* -1/2 x) (* 1/2 (* eps x))))))) eps)
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1/2 (/ x eps)) (* 1/2 x)))
(* (pow eps 2) (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x))))
(* (pow eps 2) (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/2 x) (* 1/2 (/ x (pow eps 3)))))))
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1/2 (/ x eps)) (* 1/2 x)))
(* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 x) (* 1/2 (/ x eps))) eps)) (* 1/2 x)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ x eps))) eps)) (* 1/2 x)) eps)) (* 1/2 x)))
(* x (+ 1/2 (* 1/2 (/ 1 eps))))
(* x (+ 1/2 (* 1/2 (/ 1 eps))))
(* x (+ 1/2 (* 1/2 (/ 1 eps))))
(* x (+ 1/2 (* 1/2 (/ 1 eps))))
(* x (+ 1/2 (* 1/2 (/ 1 eps))))
(* x (+ 1/2 (* 1/2 (/ 1 eps))))
(* x (+ 1/2 (* 1/2 (/ 1 eps))))
(* x (+ 1/2 (* 1/2 (/ 1 eps))))
(* x (+ 1/2 (* 1/2 (/ 1 eps))))
(* x (+ 1/2 (* 1/2 (/ 1 eps))))
(* x (+ 1/2 (* 1/2 (/ 1 eps))))
(* x (+ 1/2 (* 1/2 (/ 1 eps))))
(* 1/2 (/ x eps))
(/ (+ (* 1/2 x) (* 1/2 (* eps x))) eps)
(/ (+ (* 1/2 x) (* 1/2 (* eps x))) eps)
(/ (+ (* 1/2 x) (* 1/2 (* eps x))) eps)
(* 1/2 x)
(+ (* 1/2 x) (* 1/2 (/ x eps)))
(+ (* 1/2 x) (* 1/2 (/ x eps)))
(+ (* 1/2 x) (* 1/2 (/ x eps)))
(* 1/2 x)
(+ (* 1/2 x) (* 1/2 (/ x eps)))
(+ (* 1/2 x) (* 1/2 (/ x eps)))
(+ (* 1/2 x) (* 1/2 (/ x eps)))
1
(+ 1 (* -2 eps))
(+ 1 (* eps (- eps 2)))
(+ 1 (* eps (- eps 2)))
(pow eps 2)
(* (pow eps 2) (- 1 (* 2 (/ 1 eps))))
(* (pow eps 2) (- (+ 1 (/ 1 (pow eps 2))) (* 2 (/ 1 eps))))
(* (pow eps 2) (- (+ 1 (/ 1 (pow eps 2))) (* 2 (/ 1 eps))))
(pow eps 2)
(* (pow eps 2) (- 1 (* 2 (/ 1 eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (- 2 (/ 1 eps)) eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (- 2 (/ 1 eps)) eps))))
(* -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)
(* eps (+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2))))
(* eps (+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2))))
(* eps (+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2))))
(* eps (+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2))))
(* eps (+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2))))
(* eps (+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2))))
(* eps (+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2))))
(* eps (+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2))))
(* eps (+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2))))
(* eps (+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2))))
(* eps (+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2))))
(* eps (+ 1 (* (pow x 2) (- (+ (* 1/12 x) (* 1/4 x)) 1/2))))
eps
(+ eps (* -1/2 (* eps (pow x 2))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/3 (* eps x)))))
(+ eps (* (pow x 2) (+ (* -1/2 eps) (* 1/3 (* eps x)))))
(* 1/3 (* eps (pow x 3)))
(* (pow x 3) (+ (* -1/2 (/ eps x)) (* 1/3 eps)))
(* (pow x 3) (+ (* -1/2 (/ eps x)) (+ (* 1/3 eps) (/ eps (pow x 3)))))
(* (pow x 3) (+ (* -1/2 (/ eps x)) (+ (* 1/3 eps) (/ eps (pow x 3)))))
(* 1/3 (* eps (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/3 eps) (* 1/2 (/ eps x)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/2 eps) (/ eps (pow x 2))) x)) (* -1/3 eps))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/2 eps) (/ eps (pow x 2))) x)) (* -1/3 eps))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (+ eps (* -1 (+ 1 eps))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))) (* 1/2 (+ eps (* -1 (+ 1 eps)))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) 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)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 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)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ 1 (exp (* -1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(+ (* 1/2 (* eps (+ x (* -1 (* x (exp (* -1 x))))))) (* 1/2 (+ 1 (exp (* -1 x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 eps (-.f64 x (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x)))))))
(+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2))))) (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (+.f64 (-.f64 x (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 x x)) eps)))))
(+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2)))))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x))))) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 x x))) (*.f64 eps (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
2
#s(literal 2 binary64)
(+ 2 (* x (+ eps (* -1 (+ 1 eps)))))
(+.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps))) #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 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.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)) (* 1/6 (pow eps 3)))))))))))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.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)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ 1 (exp (* -1 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ 1 (+ (exp (* -1 x)) (* eps (+ x (* -1 (* x (exp (* -1 x))))))))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 eps (-.f64 x (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x))))))
(+ 1 (+ (exp (* -1 x)) (* eps (+ x (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2)))))))))
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (-.f64 x (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 x x)) eps))))))
(+ 1 (+ (exp (* -1 x)) (* eps (+ x (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (pow x 2)) (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))))))))))
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eval205.0ms (1.5%)

Compiler

Compiled 29351 to 2392 computations (91.9% saved)

prune110.0ms (0.8%)

Pruning

25 alts after pruning (22 fresh and 3 done)

PrunedKeptTotal
New89618914
Fresh9413
Picked325
Done011
Total90825933
Accuracy
100.0%
Counts
933 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.9%
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(*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))) (/.f64 (*.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))))) (*.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))) (/.f64 (*.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))))))))
30.8%
(/.f64 (*.f64 (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (/.f64 eps (*.f64 x x))) x)) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) eps)
▶17.2%
(/.f64 (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))) eps)
▶18.7%
(/.f64 #s(literal 0 binary64) eps)
72.4%
(-.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 x (/.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 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))))
51.0%
(-.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))))
▶49.0%
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 eps #s(literal -1/4 binary64)))) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 eps #s(literal 1/4 binary64))))))) #s(literal -1/2 binary64)) eps)))
59.8%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 (+.f64 eps #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 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/4 binary64))))))))
34.9%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (/.f64 (*.f64 (+.f64 (*.f64 eps eps) #s(literal -1 binary64)) (+.f64 (*.f64 eps eps) #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))))
▶26.3%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (/.f64 (*.f64 (+.f64 (*.f64 eps eps) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps))))))))))
52.1%
(+.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 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/12 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) eps) #s(literal 0 binary64)))))
54.6%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))
▶75.1%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
41.9%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
68.5%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (-.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 x (/.f64 x eps))) #s(literal -1/2 binary64)) eps))))))
74.7%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))))
59.8%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x #s(literal 1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))) (+.f64 eps #s(literal -1 binary64)))))))
66.5%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
14.6%
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
38.2%
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))
23.3%
(*.f64 eps (*.f64 eps (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 x (/.f64 (+.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) eps)))))
64.1%
(*.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)))))
✓83.2%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
✓11.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
✓42.9%
#s(literal 1 binary64)
Compiler

Compiled 2519 to 731 computations (71% saved)

simplify235.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff512
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (/.f64 (*.f64 (+.f64 (*.f64 eps eps) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)))))))
✓cost-diff896
(+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (/.f64 (*.f64 (+.f64 (*.f64 eps eps) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps))))))))
✓cost-diff896
(*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (/.f64 (*.f64 (+.f64 (*.f64 eps eps) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)))))))))
✓cost-diff896
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (/.f64 (*.f64 (+.f64 (*.f64 eps eps) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps))))))))))
✓cost-diff0
(+.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 eps #s(literal -1/4 binary64)))) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 eps #s(literal 1/4 binary64))))))) #s(literal -1/2 binary64))
✓cost-diff0
(/.f64 (+.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 eps #s(literal -1/4 binary64)))) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 eps #s(literal 1/4 binary64))))))) #s(literal -1/2 binary64)) eps)
✓cost-diff0
(*.f64 x (/.f64 (+.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 eps #s(literal -1/4 binary64)))) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 eps #s(literal 1/4 binary64))))))) #s(literal -1/2 binary64)) eps))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 eps #s(literal -1/4 binary64)))) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 eps #s(literal 1/4 binary64))))))) #s(literal -1/2 binary64)) eps)))
✓cost-diff0
(*.f64 x (*.f64 x x))
✓cost-diff0
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
✓cost-diff0
(*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)))
✓cost-diff256
(/.f64 (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))) eps)
✓cost-diff128
(/.f64 #s(literal 0 binary64) eps)
✓cost-diff0
(*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))
✓cost-diff0
(*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))
✓cost-diff0
(*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
Rules
4084×*-lowering-*.f32
4084×*-lowering-*.f64
2844×+-lowering-+.f64
2844×+-lowering-+.f32
1776×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
054531
1192493
2752485
33956434
08559434
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ 1 (* x (* x (* (* eps eps) 1/4))))
1
(* x (* x (* (* eps eps) 1/4)))
x
(* x (* (* eps eps) 1/4))
(* (* eps eps) 1/4)
(* eps eps)
eps
1/4
(/ 0 eps)
0
eps
(/ (* eps (* (* x (* x x)) 1/3)) eps)
(* eps (* (* x (* x x)) 1/3))
eps
(* (* x (* x x)) 1/3)
(* x (* x x))
x
(* x x)
1/3
(+ 1 (* x (/ (+ (+ (* x (+ 1/4 (* eps -1/4))) (* (* eps eps) (+ 1/2 (* x (+ -1/4 (* eps 1/4)))))) -1/2) eps)))
1
(* x (/ (+ (+ (* x (+ 1/4 (* eps -1/4))) (* (* eps eps) (+ 1/2 (* x (+ -1/4 (* eps 1/4)))))) -1/2) eps))
x
(/ (+ (+ (* x (+ 1/4 (* eps -1/4))) (* (* eps eps) (+ 1/2 (* x (+ -1/4 (* eps 1/4)))))) -1/2) eps)
(+ (+ (* x (+ 1/4 (* eps -1/4))) (* (* eps eps) (+ 1/2 (* x (+ -1/4 (* eps 1/4)))))) -1/2)
(+ (* x (+ 1/4 (* eps -1/4))) (* (* eps eps) (+ 1/2 (* x (+ -1/4 (* eps 1/4))))))
(* x (+ 1/4 (* eps -1/4)))
(+ 1/4 (* eps -1/4))
1/4
(* eps -1/4)
eps
-1/4
(* (* eps eps) (+ 1/2 (* x (+ -1/4 (* eps 1/4)))))
(* eps eps)
(+ 1/2 (* x (+ -1/4 (* eps 1/4))))
1/2
(* x (+ -1/4 (* eps 1/4)))
(+ -1/4 (* eps 1/4))
(* eps 1/4)
-1/2
(+ 1 (* x (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* 1/2 (* (* x (+ 1/2 (/ 1/2 eps))) (/ (* (+ (* eps eps) -1) (+ -1 (* eps (* eps eps)))) (* (+ eps 1) (+ (* eps eps) (- 1 (- 0 eps))))))))))
1
(* x (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* 1/2 (* (* x (+ 1/2 (/ 1/2 eps))) (/ (* (+ (* eps eps) -1) (+ -1 (* eps (* eps eps)))) (* (+ eps 1) (+ (* eps eps) (- 1 (- 0 eps)))))))))
x
(+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* 1/2 (* (* x (+ 1/2 (/ 1/2 eps))) (/ (* (+ (* eps eps) -1) (+ -1 (* eps (* eps eps)))) (* (+ eps 1) (+ (* eps eps) (- 1 (- 0 eps))))))))
(* (+ eps -1) (+ 1/2 (/ 1/2 eps)))
(+ eps -1)
eps
-1
(+ 1/2 (/ 1/2 eps))
1/2
(/ 1/2 eps)
(* 1/2 (* (* x (+ 1/2 (/ 1/2 eps))) (/ (* (+ (* eps eps) -1) (+ -1 (* eps (* eps eps)))) (* (+ eps 1) (+ (* eps eps) (- 1 (- 0 eps)))))))
(* (* x (+ 1/2 (/ 1/2 eps))) (/ (* (+ (* eps eps) -1) (+ -1 (* eps (* eps eps)))) (* (+ eps 1) (+ (* eps eps) (- 1 (- 0 eps))))))
(* x (+ 1/2 (/ 1/2 eps)))
(/ (* (+ (* eps eps) -1) (+ -1 (* eps (* eps eps)))) (* (+ eps 1) (+ (* eps eps) (- 1 (- 0 eps)))))
(* (+ (* eps eps) -1) (+ -1 (* eps (* eps eps))))
(+ (* eps eps) -1)
(* eps eps)
(+ -1 (* eps (* eps eps)))
(* eps (* eps eps))
(* (+ eps 1) (+ (* eps eps) (- 1 (- 0 eps))))
(+ eps 1)
(+ (* eps eps) (- 1 (- 0 eps)))
(- 1 (- 0 eps))
(- 0 eps)
0
Outputs
(+ 1 (* x (* x (* (* eps eps) 1/4))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 eps (*.f64 eps #s(literal 1/4 binary64))))))
1
#s(literal 1 binary64)
(* x (* x (* (* eps eps) 1/4)))
(*.f64 x (*.f64 x (*.f64 eps (*.f64 eps #s(literal 1/4 binary64)))))
x
(* x (* (* eps eps) 1/4))
(*.f64 x (*.f64 eps (*.f64 eps #s(literal 1/4 binary64))))
(* (* eps eps) 1/4)
(*.f64 eps (*.f64 eps #s(literal 1/4 binary64)))
(* eps eps)
(*.f64 eps eps)
eps
1/4
#s(literal 1/4 binary64)
(/ 0 eps)
#s(literal 0 binary64)
0
#s(literal 0 binary64)
eps
(/ (* eps (* (* x (* x x)) 1/3)) eps)
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64))))
(* eps (* (* x (* x x)) 1/3))
(*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
eps
(* (* x (* x x)) 1/3)
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64))))
(* x (* x x))
(*.f64 x (*.f64 x x))
x
(* x x)
(*.f64 x x)
1/3
#s(literal 1/3 binary64)
(+ 1 (* x (/ (+ (+ (* x (+ 1/4 (* eps -1/4))) (* (* eps eps) (+ 1/2 (* x (+ -1/4 (* eps 1/4)))))) -1/2) eps)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 eps #s(literal -1/4 binary64)))) (+.f64 (*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 eps #s(literal 1/4 binary64))))))) #s(literal -1/2 binary64)))) eps))
1
#s(literal 1 binary64)
(* x (/ (+ (+ (* x (+ 1/4 (* eps -1/4))) (* (* eps eps) (+ 1/2 (* x (+ -1/4 (* eps 1/4)))))) -1/2) eps))
(/.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 eps #s(literal -1/4 binary64)))) (+.f64 (*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 eps #s(literal 1/4 binary64))))))) #s(literal -1/2 binary64)))) eps)
x
(/ (+ (+ (* x (+ 1/4 (* eps -1/4))) (* (* eps eps) (+ 1/2 (* x (+ -1/4 (* eps 1/4)))))) -1/2) eps)
(/.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 eps #s(literal -1/4 binary64)))) (+.f64 (*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 eps #s(literal 1/4 binary64))))))) #s(literal -1/2 binary64))) eps)
(+ (+ (* x (+ 1/4 (* eps -1/4))) (* (* eps eps) (+ 1/2 (* x (+ -1/4 (* eps 1/4)))))) -1/2)
(+.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 eps #s(literal -1/4 binary64)))) (+.f64 (*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 eps #s(literal 1/4 binary64))))))) #s(literal -1/2 binary64)))
(+ (* x (+ 1/4 (* eps -1/4))) (* (* eps eps) (+ 1/2 (* x (+ -1/4 (* eps 1/4))))))
(+.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 eps #s(literal -1/4 binary64)))) (*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 eps #s(literal 1/4 binary64))))))))
(* x (+ 1/4 (* eps -1/4)))
(*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 eps #s(literal -1/4 binary64))))
(+ 1/4 (* eps -1/4))
(+.f64 #s(literal 1/4 binary64) (*.f64 eps #s(literal -1/4 binary64)))
1/4
#s(literal 1/4 binary64)
(* eps -1/4)
(*.f64 eps #s(literal -1/4 binary64))
eps
-1/4
#s(literal -1/4 binary64)
(* (* eps eps) (+ 1/2 (* x (+ -1/4 (* eps 1/4)))))
(*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 eps #s(literal 1/4 binary64)))))))
(* eps eps)
(*.f64 eps eps)
(+ 1/2 (* x (+ -1/4 (* eps 1/4))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 eps #s(literal 1/4 binary64)))))
1/2
#s(literal 1/2 binary64)
(* x (+ -1/4 (* eps 1/4)))
(*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 eps #s(literal 1/4 binary64))))
(+ -1/4 (* eps 1/4))
(+.f64 #s(literal -1/4 binary64) (*.f64 eps #s(literal 1/4 binary64)))
(* eps 1/4)
(*.f64 eps #s(literal 1/4 binary64))
-1/2
#s(literal -1/2 binary64)
(+ 1 (* x (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* 1/2 (* (* x (+ 1/2 (/ 1/2 eps))) (/ (* (+ (* eps eps) -1) (+ -1 (* eps (* eps eps)))) (* (+ eps 1) (+ (* eps eps) (- 1 (- 0 eps))))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (-.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 #s(literal -1 binary64) eps))))) (*.f64 x #s(literal 1/2 binary64))))))
1
#s(literal 1 binary64)
(* x (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* 1/2 (* (* x (+ 1/2 (/ 1/2 eps))) (/ (* (+ (* eps eps) -1) (+ -1 (* eps (* eps eps)))) (* (+ eps 1) (+ (* eps eps) (- 1 (- 0 eps)))))))))
(*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (-.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 #s(literal -1 binary64) eps))))) (*.f64 x #s(literal 1/2 binary64)))))
x
(+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* 1/2 (* (* x (+ 1/2 (/ 1/2 eps))) (/ (* (+ (* eps eps) -1) (+ -1 (* eps (* eps eps)))) (* (+ eps 1) (+ (* eps eps) (- 1 (- 0 eps))))))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (-.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 #s(literal -1 binary64) eps))))) (*.f64 x #s(literal 1/2 binary64)))))
(* (+ eps -1) (+ 1/2 (/ 1/2 eps)))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(+ 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 (* (* x (+ 1/2 (/ 1/2 eps))) (/ (* (+ (* eps eps) -1) (+ -1 (* eps (* eps eps)))) (* (+ eps 1) (+ (* eps eps) (- 1 (- 0 eps)))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 #s(literal -1 binary64) eps))))
(* (* x (+ 1/2 (/ 1/2 eps))) (/ (* (+ (* eps eps) -1) (+ -1 (* eps (* eps eps)))) (* (+ eps 1) (+ (* eps eps) (- 1 (- 0 eps))))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 #s(literal -1 binary64) eps))))
(* x (+ 1/2 (/ 1/2 eps)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(/ (* (+ (* eps eps) -1) (+ -1 (* eps (* eps eps)))) (* (+ eps 1) (+ (* eps eps) (- 1 (- 0 eps)))))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (-.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 #s(literal -1 binary64) eps)))))
(* (+ (* eps eps) -1) (+ -1 (* eps (* eps eps))))
(*.f64 (+.f64 (*.f64 eps eps) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))))
(+ (* eps eps) -1)
(+.f64 (*.f64 eps eps) #s(literal -1 binary64))
(* eps eps)
(*.f64 eps eps)
(+ -1 (* eps (* eps eps)))
(+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))
(* eps (* eps eps))
(*.f64 eps (*.f64 eps eps))
(* (+ eps 1) (+ (* eps eps) (- 1 (- 0 eps))))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 #s(literal -1 binary64) eps))))
(+ eps 1)
(+.f64 #s(literal 1 binary64) eps)
(+ (* eps eps) (- 1 (- 0 eps)))
(-.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 #s(literal -1 binary64) eps)))
(- 1 (- 0 eps))
(+.f64 #s(literal 1 binary64) eps)
(- 0 eps)
(-.f64 #s(literal 0 binary64) eps)
0
#s(literal 0 binary64)

localize293.0ms (2.2%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
✓accuracy94.6%
(*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (/.f64 (*.f64 (+.f64 (*.f64 eps eps) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)))))))))
✓accuracy93.3%
(*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (/.f64 (*.f64 (+.f64 (*.f64 eps eps) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps))))))
✓accuracy63.7%
(/.f64 (*.f64 (+.f64 (*.f64 eps eps) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)))))
✓accuracy95.6%
(*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 eps #s(literal 1/4 binary64))))))
✓accuracy94.6%
(*.f64 x (/.f64 (+.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 eps #s(literal -1/4 binary64)))) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 eps #s(literal 1/4 binary64))))))) #s(literal -1/2 binary64)) eps))
✓accuracy90.5%
(/.f64 (+.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 eps #s(literal -1/4 binary64)))) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 eps #s(literal 1/4 binary64))))))) #s(literal -1/2 binary64)) eps)
✓accuracy89.6%
(+.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 eps #s(literal -1/4 binary64)))) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 eps #s(literal 1/4 binary64)))))))
✓accuracy99.9%
(*.f64 x (*.f64 x x))
✓accuracy99.9%
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
✓accuracy93.2%
(/.f64 (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))) eps)
✓accuracy93.0%
(*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64)))
✓accuracy100.0%
(/.f64 #s(literal 0 binary64) eps)
✓accuracy100.0%
(*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))
✓accuracy100.0%
(*.f64 eps eps)
✓accuracy93.1%
(*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))))
✓accuracy89.0%
(*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))
Results
150.0ms255×0valid
2.0ms1×3valid
Compiler

Compiled 617 to 55 computations (91.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-mult: 37.0ms (44% of total)
ival-add: 30.0ms (35.7% of total)
ival-div: 9.0ms (10.7% of total)
...c/correct-round.rkt:119:19: 4.0ms (4.8% of total)
ival-sub: 2.0ms (2.4% of total)
const: 1.0ms (1.2% of total)
backward-pass: 0.0ms (0% of total)

series69.0ms (0.5%)

Counts
23 → 480
Calls
Call 1
Inputs
#<alt (+ 1 (* x (* x (* (* eps eps) 1/4))))>
#<alt (* x (* x (* (* eps eps) 1/4)))>
#<alt (* x (* (* eps eps) 1/4))>
#<alt (* (* eps eps) 1/4)>
#<alt (/ 0 eps)>
#<alt (/ (* eps (* (* x (* x x)) 1/3)) eps)>
#<alt (* eps (* (* x (* x x)) 1/3))>
#<alt (* (* x (* x x)) 1/3)>
#<alt (* x (* x x))>
#<alt (+ 1 (* x (/ (+ (+ (* x (+ 1/4 (* eps -1/4))) (* (* eps eps) (+ 1/2 (* x (+ -1/4 (* eps 1/4)))))) -1/2) eps)))>
#<alt (* x (/ (+ (+ (* x (+ 1/4 (* eps -1/4))) (* (* eps eps) (+ 1/2 (* x (+ -1/4 (* eps 1/4)))))) -1/2) eps))>
#<alt (/ (+ (+ (* x (+ 1/4 (* eps -1/4))) (* (* eps eps) (+ 1/2 (* x (+ -1/4 (* eps 1/4)))))) -1/2) eps)>
#<alt (+ (+ (* x (+ 1/4 (* eps -1/4))) (* (* eps eps) (+ 1/2 (* x (+ -1/4 (* eps 1/4)))))) -1/2)>
#<alt (+ 1 (* x (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* 1/2 (* (* x (+ 1/2 (/ 1/2 eps))) (/ (* (+ (* eps eps) -1) (+ -1 (* eps (* eps eps)))) (* (+ eps 1) (+ (* eps eps) (- 1 (- 0 eps))))))))))>
#<alt (* x (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* 1/2 (* (* x (+ 1/2 (/ 1/2 eps))) (/ (* (+ (* eps eps) -1) (+ -1 (* eps (* eps eps)))) (* (+ eps 1) (+ (* eps eps) (- 1 (- 0 eps)))))))))>
#<alt (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* 1/2 (* (* x (+ 1/2 (/ 1/2 eps))) (/ (* (+ (* eps eps) -1) (+ -1 (* eps (* eps eps)))) (* (+ eps 1) (+ (* eps eps) (- 1 (- 0 eps))))))))>
#<alt (* 1/2 (* (* x (+ 1/2 (/ 1/2 eps))) (/ (* (+ (* eps eps) -1) (+ -1 (* eps (* eps eps)))) (* (+ eps 1) (+ (* eps eps) (- 1 (- 0 eps)))))))>
#<alt (* eps eps)>
#<alt (+ (* x (+ 1/4 (* eps -1/4))) (* (* eps eps) (+ 1/2 (* x (+ -1/4 (* eps 1/4))))))>
#<alt (* (* eps eps) (+ 1/2 (* x (+ -1/4 (* eps 1/4)))))>
#<alt (/ (* (+ (* eps eps) -1) (+ -1 (* eps (* eps eps)))) (* (+ eps 1) (+ (* eps eps) (- 1 (- 0 eps)))))>
#<alt (* (* x (+ 1/2 (/ 1/2 eps))) (/ (* (+ (* eps eps) -1) (+ -1 (* eps (* eps eps)))) (* (+ eps 1) (+ (* eps eps) (- 1 (- 0 eps))))))>
#<alt (* x (+ 1/2 (/ 1/2 eps)))>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/4 (* (pow eps 2) (pow x 2))))>
#<alt (+ 1 (* 1/4 (* (pow eps 2) (pow x 2))))>
#<alt (+ 1 (* 1/4 (* (pow eps 2) (pow x 2))))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/4 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/4 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/4 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/4 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/4 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/4 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 1/4 (* (pow eps 2) (pow x 2))))>
#<alt (+ 1 (* 1/4 (* (pow eps 2) (pow x 2))))>
#<alt (+ 1 (* 1/4 (* (pow eps 2) (pow x 2))))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/4 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* 1/4 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* 1/4 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/4 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* 1/4 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* 1/4 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) x))>
#<alt (* 1/4 (* (pow eps 2) x))>
#<alt (* 1/4 (* (pow eps 2) x))>
#<alt (* 1/4 (* (pow eps 2) x))>
#<alt (* 1/4 (* (pow eps 2) x))>
#<alt (* 1/4 (* (pow eps 2) x))>
#<alt (* 1/4 (* (pow eps 2) x))>
#<alt (* 1/4 (* (pow eps 2) x))>
#<alt (* 1/4 (* (pow eps 2) x))>
#<alt (* 1/4 (* (pow eps 2) x))>
#<alt (* 1/4 (* (pow eps 2) x))>
#<alt (* 1/4 (* (pow eps 2) x))>
#<alt (* 1/4 (* (pow eps 2) x))>
#<alt (* 1/4 (* (pow eps 2) x))>
#<alt (* 1/4 (* (pow eps 2) x))>
#<alt (* 1/4 (* (pow eps 2) x))>
#<alt (* 1/4 (* (pow eps 2) x))>
#<alt (* 1/4 (* (pow eps 2) x))>
#<alt (* 1/4 (* (pow eps 2) x))>
#<alt (* 1/4 (* (pow eps 2) x))>
#<alt (* 1/4 (* (pow eps 2) x))>
#<alt (* 1/4 (* (pow eps 2) x))>
#<alt (* 1/4 (* (pow eps 2) x))>
#<alt (* 1/4 (* (pow eps 2) x))>
#<alt (* 1/4 (pow eps 2))>
#<alt (* 1/4 (pow eps 2))>
#<alt (* 1/4 (pow eps 2))>
#<alt (* 1/4 (pow eps 2))>
#<alt (* 1/4 (pow eps 2))>
#<alt (* 1/4 (pow eps 2))>
#<alt (* 1/4 (pow eps 2))>
#<alt (* 1/4 (pow eps 2))>
#<alt (* 1/4 (pow eps 2))>
#<alt (* 1/4 (pow eps 2))>
#<alt (* 1/4 (pow eps 2))>
#<alt (* 1/4 (pow eps 2))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (pow x 3))>
#<alt (* 1/3 (* eps (pow x 3)))>
#<alt (* 1/3 (* eps (pow x 3)))>
#<alt (* 1/3 (* eps (pow x 3)))>
#<alt (* 1/3 (* eps (pow x 3)))>
#<alt (* 1/3 (* eps (pow x 3)))>
#<alt (* 1/3 (* eps (pow x 3)))>
#<alt (* 1/3 (* eps (pow x 3)))>
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#<alt (/ (+ (* 1/2 x) (* eps (- (+ (* 1/2 x) (* eps (- (+ (* -1/2 x) (* eps (- (* -1 x) (+ (* 1/2 x) (+ (* 2 (- (* -1/2 x) (+ x (* 2 (- (* 1/2 x) x))))) (* 2 (- (* 1/2 x) x))))))) (+ x (* 2 (- (* 1/2 x) x)))))) x))) eps)>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (- (+ (* 1/2 x) (* 1/2 (/ x eps))) (/ x eps)))>
#<alt (* (pow eps 2) (- (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/2 x) (* 1/2 (/ x eps)))) (+ (* 2 (/ (- (* 1/2 x) x) (pow eps 2))) (+ (/ x eps) (/ x (pow eps 2))))))>
#<alt (* (pow eps 2) (- (+ (* -1 (/ x (pow eps 3))) (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/2 x) (* 1/2 (/ x eps))))) (+ (* 1/2 (/ x (pow eps 3))) (+ (* 2 (/ (- (* -1/2 x) (+ x (* 2 (- (* 1/2 x) x)))) (pow eps 3))) (+ (* 2 (/ (- (* 1/2 x) x) (pow eps 2))) (+ (* 2 (/ (- (* 1/2 x) x) (pow eps 3))) (+ (/ x eps) (/ x (pow eps 2)))))))))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (- (+ (* 1/2 x) (* 1/2 (/ x eps))) (/ x eps)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (+ (* -1 (- (* 1/2 x) x)) (* 1/2 (/ x eps))) (+ (* -2 (/ (- (* 1/2 x) x) eps)) (* -1 (/ x eps)))) eps)) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (- (* 1/2 x) x)) (* -1 (/ (- (+ (* -1 (- (* 1/2 x) (+ (* -2 (- (* 1/2 x) x)) (* -1 x)))) (* -1 (/ x eps))) (+ (* -2 (/ (- (* 1/2 x) (+ (* -2 (- (* 1/2 x) x)) (* -1 x))) eps)) (+ (* 1/2 (/ x eps)) (* 2 (/ (- (* 1/2 x) x) eps))))) eps))) eps)) (* 1/2 x)))>
#<alt (* x (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* x (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* x (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* x (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* x (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* x (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* x (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* x (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* x (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* x (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* x (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* x (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* 1/2 (/ x eps))>
#<alt (/ (+ (* 1/2 x) (* 1/2 (* eps x))) eps)>
#<alt (/ (+ (* 1/2 x) (* 1/2 (* eps x))) eps)>
#<alt (/ (+ (* 1/2 x) (* 1/2 (* eps x))) eps)>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* 1/2 (/ x eps)))>
#<alt (+ (* 1/2 x) (* 1/2 (/ x eps)))>
#<alt (+ (* 1/2 x) (* 1/2 (/ x eps)))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* 1/2 (/ x eps)))>
#<alt (+ (* 1/2 x) (* 1/2 (/ x eps)))>
#<alt (+ (* 1/2 x) (* 1/2 (/ x eps)))>
Calls

120 calls:

TimeVariablePointExpression
15.0ms
x
@0
(+ 1 (* x (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* 1/2 (* (* x (+ 1/2 (/ 1/2 eps))) (/ (* (+ (* eps eps) -1) (+ -1 (* eps (* eps eps)))) (* (+ eps 1) (+ (* eps eps) (- 1 (- 0 eps))))))))))
6.0ms
x
@0
(* x (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* 1/2 (* (* x (+ 1/2 (/ 1/2 eps))) (/ (* (+ (* eps eps) -1) (+ -1 (* eps (* eps eps)))) (* (+ eps 1) (+ (* eps eps) (- 1 (- 0 eps)))))))))
3.0ms
eps
@inf
(* (* eps eps) 1/4)
1.0ms
x
@0
(+ 1 (* x (/ (+ (+ (* x (+ 1/4 (* eps -1/4))) (* (* eps eps) (+ 1/2 (* x (+ -1/4 (* eps 1/4)))))) -1/2) eps)))
1.0ms
x
@-inf
(+ 1 (* x (/ (+ (+ (* x (+ 1/4 (* eps -1/4))) (* (* eps eps) (+ 1/2 (* x (+ -1/4 (* eps 1/4)))))) -1/2) eps)))

rewrite375.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
3612×*-lowering-*.f32
3612×*-lowering-*.f64
1468×/-lowering-/.f32
1468×/-lowering-/.f64
1226×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054394
1415286
24510268
09334268
Stop Event
1×iter limit
1×node limit
Counts
23 → 417
Calls
Call 1
Inputs
(+ 1 (* x (* x (* (* eps eps) 1/4))))
(* x (* x (* (* eps eps) 1/4)))
(* x (* (* eps eps) 1/4))
(* (* eps eps) 1/4)
(/ 0 eps)
(/ (* eps (* (* x (* x x)) 1/3)) eps)
(* eps (* (* x (* x x)) 1/3))
(* (* x (* x x)) 1/3)
(* x (* x x))
(+ 1 (* x (/ (+ (+ (* x (+ 1/4 (* eps -1/4))) (* (* eps eps) (+ 1/2 (* x (+ -1/4 (* eps 1/4)))))) -1/2) eps)))
(* x (/ (+ (+ (* x (+ 1/4 (* eps -1/4))) (* (* eps eps) (+ 1/2 (* x (+ -1/4 (* eps 1/4)))))) -1/2) eps))
(/ (+ (+ (* x (+ 1/4 (* eps -1/4))) (* (* eps eps) (+ 1/2 (* x (+ -1/4 (* eps 1/4)))))) -1/2) eps)
(+ (+ (* x (+ 1/4 (* eps -1/4))) (* (* eps eps) (+ 1/2 (* x (+ -1/4 (* eps 1/4)))))) -1/2)
(+ 1 (* x (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* 1/2 (* (* x (+ 1/2 (/ 1/2 eps))) (/ (* (+ (* eps eps) -1) (+ -1 (* eps (* eps eps)))) (* (+ eps 1) (+ (* eps eps) (- 1 (- 0 eps))))))))))
(* x (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* 1/2 (* (* x (+ 1/2 (/ 1/2 eps))) (/ (* (+ (* eps eps) -1) (+ -1 (* eps (* eps eps)))) (* (+ eps 1) (+ (* eps eps) (- 1 (- 0 eps)))))))))
(+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* 1/2 (* (* x (+ 1/2 (/ 1/2 eps))) (/ (* (+ (* eps eps) -1) (+ -1 (* eps (* eps eps)))) (* (+ eps 1) (+ (* eps eps) (- 1 (- 0 eps))))))))
(* 1/2 (* (* x (+ 1/2 (/ 1/2 eps))) (/ (* (+ (* eps eps) -1) (+ -1 (* eps (* eps eps)))) (* (+ eps 1) (+ (* eps eps) (- 1 (- 0 eps)))))))
(* eps eps)
(+ (* x (+ 1/4 (* eps -1/4))) (* (* eps eps) (+ 1/2 (* x (+ -1/4 (* eps 1/4))))))
(* (* eps eps) (+ 1/2 (* x (+ -1/4 (* eps 1/4)))))
(/ (* (+ (* eps eps) -1) (+ -1 (* eps (* eps eps)))) (* (+ eps 1) (+ (* eps eps) (- 1 (- 0 eps)))))
(* (* x (+ 1/2 (/ 1/2 eps))) (/ (* (+ (* eps eps) -1) (+ -1 (* eps (* eps eps)))) (* (+ eps 1) (+ (* eps eps) (- 1 (- 0 eps))))))
(* x (+ 1/2 (/ 1/2 eps)))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
(+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))) (/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) (*.f64 x x)) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))))
(fma.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) x #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) (-.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1/64 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) (*.f64 x x)) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1/64 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) (-.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1/64 binary64)))))) (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) (*.f64 x x)) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) (*.f64 x x)) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1/64 binary64))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) (-.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) (*.f64 x x)) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) (*.f64 x x)) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) (-.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1/64 binary64))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) (*.f64 x x)) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal 1/64 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) (-.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) #s(literal 1 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) (*.f64 x x)) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1 binary64) (-.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 (*.f64 eps eps) #s(literal 1/4 binary64)))))
(*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)) (*.f64 x x))
(*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) x)
(*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))
(*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 1/4 binary64))
(*.f64 (*.f64 (*.f64 x x) eps) (*.f64 eps #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) #s(literal 1/4 binary64))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 eps eps))
(*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) x)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))
(*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))
(*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/4 binary64))))
(*.f64 (*.f64 eps eps) (*.f64 x #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps)))
(*.f64 (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)) x)
(*.f64 (*.f64 x #s(literal 1/4 binary64)) (*.f64 eps eps))
(*.f64 (*.f64 x (*.f64 eps eps)) #s(literal 1/4 binary64))
(*.f64 (*.f64 x eps) (*.f64 eps #s(literal 1/4 binary64)))
(*.f64 eps (*.f64 eps #s(literal 1/4 binary64)))
(*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 eps eps))
(*.f64 (*.f64 eps #s(literal 1/4 binary64)) eps)
#s(literal 0 binary64)
(exp.f64 (*.f64 (log.f64 (/.f64 eps (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) eps)))) #s(literal -1 binary64)))
(neg.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) (/.f64 eps eps)))
(/.f64 #s(literal 1 binary64) (/.f64 eps (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 eps (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) eps))) #s(literal 1 binary64)))
(/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) eps)) eps)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 eps (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) eps)))))
(/.f64 (*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) eps)) #s(literal 1 binary64)) eps)
(pow.f64 (/.f64 eps (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) eps))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 eps (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) eps))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) (/.f64 eps eps)))
(*.f64 eps (/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) eps))
(*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) (*.f64 eps (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) (/.f64 eps eps))
(*.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) eps)) (/.f64 #s(literal 1 binary64) eps))
(*.f64 (/.f64 #s(literal 1 binary64) eps) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) eps)))
(*.f64 (/.f64 #s(literal 1 binary64) eps) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) eps))) #s(literal -1 binary64)))
(*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/3 binary64) eps))
(*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) eps) eps)
(*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) eps)) (*.f64 eps (*.f64 eps eps))) (*.f64 eps eps))
(*.f64 (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) eps)) (*.f64 eps eps)) eps)
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) eps)))
(neg.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) eps)))
(*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) eps))
(*.f64 eps (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))))
(*.f64 eps (neg.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64))))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 1/3 binary64) eps))
(*.f64 #s(literal 1/3 binary64) (*.f64 eps (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64)))) eps)
(*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) eps)))
(*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) #s(literal 1/3 binary64))
(*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) #s(literal -1/3 binary64))
(*.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64))))) eps)
(*.f64 (neg.f64 (*.f64 eps (*.f64 x (*.f64 x x)))) #s(literal 1/3 binary64))
(*.f64 (*.f64 eps x) (*.f64 x (*.f64 x #s(literal 1/3 binary64))))
(*.f64 (*.f64 eps #s(literal 1/3 binary64)) (*.f64 x (*.f64 x x)))
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/3 binary64))))
(*.f64 (*.f64 x x) (*.f64 x #s(literal 1/3 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x (*.f64 x #s(literal 1/3 binary64))) x)
(*.f64 (*.f64 #s(literal 1/3 binary64) x) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
(*.f64 x (*.f64 x x))
(*.f64 (*.f64 x x) x)
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(*.f64 x (+.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)) x)

simplify443.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
5910×*-lowering-*.f32
5910×*-lowering-*.f64
4946×+-lowering-+.f64
4946×+-lowering-+.f32
1092×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06778366
124837428
085547428
Stop Event
1×iter limit
1×node limit
Counts
480 → 480
Calls
Call 1
Inputs
1
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1
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(* (pow x 2) (- (+ -1/4 (+ (* 1/2 (/ eps x)) (+ (* eps (- (* 1/4 eps) 1/4)) (* 1/4 (/ 1 eps))))) (/ 1/2 (* eps x))))
(* (pow x 2) (- (+ -1/4 (+ (* 1/2 (/ eps x)) (+ (* eps (- (* 1/4 eps) 1/4)) (* 1/4 (/ 1 eps))))) (/ 1/2 (* eps x))))
(* (pow x 2) (- (+ -1/4 (+ (* 1/2 (/ eps x)) (+ (* eps (- (* 1/4 eps) 1/4)) (* 1/4 (/ 1 eps))))) (/ 1/2 (* eps x))))
(* -1 (/ (* (pow x 2) (+ (* -1 (* (pow eps 2) (- (* 1/4 eps) 1/4))) (* -1 (+ 1/4 (* -1/4 eps))))) eps))
(* (pow x 2) (- (+ (* -1 (/ (+ (* -1 (* (pow eps 2) (- (* 1/4 eps) 1/4))) (* -1 (+ 1/4 (* -1/4 eps)))) eps)) (* 1/2 (/ eps x))) (/ 1/2 (* eps x))))
(* (pow x 2) (- (+ (* -1 (/ (+ (* -1 (* (pow eps 2) (- (* 1/4 eps) 1/4))) (* -1 (+ 1/4 (* -1/4 eps)))) eps)) (* 1/2 (/ eps x))) (/ 1/2 (* eps x))))
(* (pow x 2) (- (+ (* -1 (/ (+ (* -1 (* (pow eps 2) (- (* 1/4 eps) 1/4))) (* -1 (+ 1/4 (* -1/4 eps)))) eps)) (* 1/2 (/ eps x))) (/ 1/2 (* eps x))))
(/ (* x (- (* 1/4 x) 1/2)) eps)
(/ (+ (* -1/4 (* eps (pow x 2))) (* x (- (* 1/4 x) 1/2))) eps)
(/ (+ (* eps (+ (* -1/4 (pow x 2)) (* eps (* x (+ 1/2 (* -1/4 x)))))) (* x (- (* 1/4 x) 1/2))) eps)
(/ (+ (* eps (+ (* -1/4 (pow x 2)) (* eps (+ (* 1/4 (* eps (pow x 2))) (* x (+ 1/2 (* -1/4 x))))))) (* x (- (* 1/4 x) 1/2))) eps)
(* 1/4 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/4 (pow x 2)) (/ (* x (+ 1/2 (* -1/4 x))) eps)))
(* (pow eps 2) (+ (* -1/4 (/ (pow x 2) (pow eps 2))) (+ (* 1/4 (pow x 2)) (/ (* x (+ 1/2 (* -1/4 x))) eps))))
(* (pow eps 2) (+ (* -1/4 (/ (pow x 2) (pow eps 2))) (+ (* 1/4 (pow x 2)) (+ (/ (* x (+ 1/2 (* -1/4 x))) eps) (/ (* x (- (* 1/4 x) 1/2)) (pow eps 3))))))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/4 (pow x 2)) (/ (* x (+ 1/2 (* -1/4 x))) eps)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (* x (+ 1/2 (* -1/4 x)))) (* 1/4 (/ (pow x 2) eps))) eps)) (* 1/4 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (* x (+ 1/2 (* -1/4 x)))) (* -1 (/ (+ (* -1/4 (pow x 2)) (/ (* x (- (* 1/4 x) 1/2)) eps)) eps))) eps)) (* 1/4 (pow x 2))))
(/ (- (* 1/2 (pow eps 2)) 1/2) eps)
(- (+ (* 1/2 eps) (* x (- (+ (* 1/4 (/ 1 eps)) (* eps (- (* 1/4 eps) 1/4))) 1/4))) (* 1/2 (/ 1 eps)))
(- (+ (* 1/2 eps) (* x (- (+ (* 1/4 (/ 1 eps)) (* eps (- (* 1/4 eps) 1/4))) 1/4))) (* 1/2 (/ 1 eps)))
(- (+ (* 1/2 eps) (* x (- (+ (* 1/4 (/ 1 eps)) (* eps (- (* 1/4 eps) 1/4))) 1/4))) (* 1/2 (/ 1 eps)))
(/ (* x (+ 1/4 (+ (* -1/4 eps) (* (pow eps 2) (- (* 1/4 eps) 1/4))))) eps)
(* x (- (+ -1/4 (+ (* 1/2 (/ eps x)) (+ (* eps (- (* 1/4 eps) 1/4)) (* 1/4 (/ 1 eps))))) (/ 1/2 (* eps x))))
(* x (- (+ -1/4 (+ (* 1/2 (/ eps x)) (+ (* eps (- (* 1/4 eps) 1/4)) (* 1/4 (/ 1 eps))))) (/ 1/2 (* eps x))))
(* x (- (+ -1/4 (+ (* 1/2 (/ eps x)) (+ (* eps (- (* 1/4 eps) 1/4)) (* 1/4 (/ 1 eps))))) (/ 1/2 (* eps x))))
(* -1 (/ (* x (+ (* -1 (* (pow eps 2) (- (* 1/4 eps) 1/4))) (* -1 (+ 1/4 (* -1/4 eps))))) eps))
(* -1 (* x (+ (* -1 (* eps (- (* 1/4 eps) 1/4))) (+ (* -1 (/ (+ 1/4 (* -1/4 eps)) eps)) (* -1 (/ (- (* 1/2 eps) (* 1/2 (/ 1 eps))) x))))))
(* -1 (* x (+ (* -1 (* eps (- (* 1/4 eps) 1/4))) (+ (* -1 (/ (+ 1/4 (* -1/4 eps)) eps)) (* -1 (/ (- (* 1/2 eps) (* 1/2 (/ 1 eps))) x))))))
(* -1 (* x (+ (* -1 (* eps (- (* 1/4 eps) 1/4))) (+ (* -1 (/ (+ 1/4 (* -1/4 eps)) eps)) (* -1 (/ (- (* 1/2 eps) (* 1/2 (/ 1 eps))) x))))))
(/ (- (* 1/4 x) 1/2) eps)
(/ (- (+ (* -1/4 (* eps x)) (* 1/4 x)) 1/2) eps)
(/ (- (+ (* 1/4 x) (* eps (+ (* -1/4 x) (* eps (+ 1/2 (* -1/4 x)))))) 1/2) eps)
(/ (- (+ (* 1/4 x) (* eps (+ (* -1/4 x) (* eps (+ 1/2 (+ (* -1/4 x) (* 1/4 (* eps x)))))))) 1/2) eps)
(* 1/4 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1/4 (/ x eps)) (+ (* 1/4 x) (* 1/2 (/ 1 eps)))))
(* (pow eps 2) (+ (* -1/4 (/ x eps)) (+ (* -1/4 (/ x (pow eps 2))) (+ (* 1/4 x) (* 1/2 (/ 1 eps))))))
(* (pow eps 2) (- (+ (* -1/4 (/ x eps)) (+ (* -1/4 (/ x (pow eps 2))) (+ (* 1/4 x) (+ (* 1/4 (/ x (pow eps 3))) (* 1/2 (/ 1 eps)))))) (* 1/2 (/ 1 (pow eps 3)))))
(* 1/4 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1/4 (/ x eps)) (+ (* 1/4 x) (* 1/2 (/ 1 eps)))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (+ 1/2 (* -1/4 x))) (* 1/4 (/ x eps))) eps)) (* 1/4 x)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (+ 1/2 (* -1/4 x))) (* -1 (/ (- (+ (* -1/4 x) (* 1/4 (/ x eps))) (* 1/2 (/ 1 eps))) eps))) eps)) (* 1/4 x)))
(- (* 1/2 (pow eps 2)) 1/2)
(- (+ (* 1/2 (pow eps 2)) (* x (+ 1/4 (+ (* -1/4 eps) (* (pow eps 2) (- (* 1/4 eps) 1/4)))))) 1/2)
(- (+ (* 1/2 (pow eps 2)) (* x (+ 1/4 (+ (* -1/4 eps) (* (pow eps 2) (- (* 1/4 eps) 1/4)))))) 1/2)
(- (+ (* 1/2 (pow eps 2)) (* x (+ 1/4 (+ (* -1/4 eps) (* (pow eps 2) (- (* 1/4 eps) 1/4)))))) 1/2)
(* x (+ 1/4 (+ (* -1/4 eps) (* (pow eps 2) (- (* 1/4 eps) 1/4)))))
(* x (- (+ 1/4 (+ (* -1/4 eps) (+ (* 1/2 (/ (pow eps 2) x)) (* (pow eps 2) (- (* 1/4 eps) 1/4))))) (* 1/2 (/ 1 x))))
(* x (- (+ 1/4 (+ (* -1/4 eps) (+ (* 1/2 (/ (pow eps 2) x)) (* (pow eps 2) (- (* 1/4 eps) 1/4))))) (* 1/2 (/ 1 x))))
(* x (- (+ 1/4 (+ (* -1/4 eps) (+ (* 1/2 (/ (pow eps 2) x)) (* (pow eps 2) (- (* 1/4 eps) 1/4))))) (* 1/2 (/ 1 x))))
(* -1 (* x (+ (* -1 (* (pow eps 2) (- (* 1/4 eps) 1/4))) (* -1 (+ 1/4 (* -1/4 eps))))))
(* -1 (* x (+ (* -1 (* (pow eps 2) (- (* 1/4 eps) 1/4))) (+ (* -1 (+ 1/4 (* -1/4 eps))) (* -1 (/ (- (* 1/2 (pow eps 2)) 1/2) x))))))
(* -1 (* x (+ (* -1 (* (pow eps 2) (- (* 1/4 eps) 1/4))) (+ (* -1 (+ 1/4 (* -1/4 eps))) (* -1 (/ (- (* 1/2 (pow eps 2)) 1/2) x))))))
(* -1 (* x (+ (* -1 (* (pow eps 2) (- (* 1/4 eps) 1/4))) (+ (* -1 (+ 1/4 (* -1/4 eps))) (* -1 (/ (- (* 1/2 (pow eps 2)) 1/2) x))))))
(- (* 1/4 x) 1/2)
(- (+ (* -1/4 (* eps x)) (* 1/4 x)) 1/2)
(- (+ (* 1/4 x) (* eps (+ (* -1/4 x) (* eps (+ 1/2 (* -1/4 x)))))) 1/2)
(- (+ (* 1/4 x) (* eps (+ (* -1/4 x) (* eps (+ 1/2 (+ (* -1/4 x) (* 1/4 (* eps x)))))))) 1/2)
(* 1/4 (* (pow eps 3) x))
(* (pow eps 3) (+ (* -1/4 (/ x eps)) (+ (* 1/4 x) (* 1/2 (/ 1 eps)))))
(* (pow eps 3) (+ (* -1/4 (/ x eps)) (+ (* -1/4 (/ x (pow eps 2))) (+ (* 1/4 x) (* 1/2 (/ 1 eps))))))
(* (pow eps 3) (- (+ (* -1/4 (/ x eps)) (+ (* -1/4 (/ x (pow eps 2))) (+ (* 1/4 x) (+ (* 1/4 (/ x (pow eps 3))) (* 1/2 (/ 1 eps)))))) (* 1/2 (/ 1 (pow eps 3)))))
(* 1/4 (* (pow eps 3) x))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/2 (* -1/4 x)) eps)) (* -1/4 x))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/2 (+ (* -1/4 x) (* -1/4 (/ x eps)))) eps)) (* -1/4 x))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1 (/ (- (* 1/4 x) 1/2) eps)) (* 1/4 x)) eps)) (* -1/4 x))) eps)) (* -1/4 x))))
1
(+ 1 (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))))
(+ 1 (* x (+ (* 1/2 (/ (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1)))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2)))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))))
(+ 1 (* x (+ (* 1/2 (/ (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1)))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2)))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))))
(* 1/2 (/ (* (pow x 2) (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1)))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2))))))
(* (pow x 2) (+ (* 1/2 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2)))))) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)))
(* (pow x 2) (+ (* 1/2 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2)))))) (+ (/ 1 (pow x 2)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x))))
(* (pow x 2) (+ (* 1/2 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2)))))) (+ (/ 1 (pow x 2)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x))))
(* 1/2 (/ (* (pow x 2) (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1)))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2))))))
(* (pow x 2) (+ (* 1/2 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2)))))) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)))
(* (pow x 2) (+ (* -1 (/ (- (* -1 (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (/ 1 x)) x)) (* 1/2 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2))))))))
(* (pow x 2) (+ (* -1 (/ (- (* -1 (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (/ 1 x)) x)) (* 1/2 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2))))))))
(/ (* x (- (* 1/4 x) 1/2)) eps)
(/ (+ (* eps (+ 1 (* 1/2 (* x (- (* 1/2 x) x))))) (* x (- (* 1/4 x) 1/2))) eps)
(/ (+ (* eps (+ 1 (+ (* 1/2 (* x (- (* 1/2 x) x))) (* eps (* x (+ 1/2 (* 1/2 (- (* -1/2 x) (+ x (* 2 (- (* 1/2 x) x))))))))))) (* x (- (* 1/4 x) 1/2))) eps)
(/ (+ (* eps (+ 1 (+ (* 1/2 (* x (- (* 1/2 x) x))) (* eps (+ (* 1/2 (* eps (* x (- (* -1 x) (+ (* 1/2 x) (+ (* 2 (- (* -1/2 x) (+ x (* 2 (- (* 1/2 x) x))))) (* 2 (- (* 1/2 x) x)))))))) (* x (+ 1/2 (* 1/2 (- (* -1/2 x) (+ x (* 2 (- (* 1/2 x) x)))))))))))) (* x (- (* 1/4 x) 1/2))) eps)
(* 1/4 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/4 (pow x 2)) (/ (* x (+ 1/2 (* 1/2 (- (* 1/2 x) x)))) eps)))
(* (pow eps 2) (+ (* 1/4 (pow x 2)) (+ (* 1/2 (/ (* x (- (* -1/2 x) (+ x (* 2 (- (* 1/2 x) x))))) (pow eps 2))) (+ (/ 1 (pow eps 2)) (/ (* x (+ 1/2 (* 1/2 (- (* 1/2 x) x)))) eps)))))
(* (pow eps 2) (+ (* 1/4 (pow x 2)) (+ (* 1/2 (/ (* x (- (* -1/2 x) (+ x (* 2 (- (* 1/2 x) x))))) (pow eps 2))) (+ (/ 1 (pow eps 2)) (+ (/ (* x (+ 1/2 (* 1/2 (- (* 1/2 x) x)))) eps) (/ (* x (- (* 1/2 (- (* -1 x) (+ (* 1/2 x) (+ (* 2 (- (* -1/2 x) (+ x (* 2 (- (* 1/2 x) x))))) (* 2 (- (* 1/2 x) x)))))) 1/2)) (pow eps 3)))))))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* -1 (/ (* x (- (* -1/2 (- (* 1/2 x) x)) 1/2)) eps)) (* 1/4 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (* x (- (* 1/2 x) (+ (* -2 (- (* 1/2 x) x)) (* -1 x)))))) eps)) (* x (- (* -1/2 (- (* 1/2 x) x)) 1/2))) eps)) (* 1/4 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1 (/ (* x (+ 1/2 (* -1/2 (- (* -1 x) (+ (* -2 (- (* 1/2 x) (+ (* -2 (- (* 1/2 x) x)) (* -1 x)))) (+ (* 1/2 x) (* 2 (- (* 1/2 x) x)))))))) eps)) (* -1/2 (* x (- (* 1/2 x) (+ (* -2 (- (* 1/2 x) x)) (* -1 x))))))) eps)) (* x (- (* -1/2 (- (* 1/2 x) x)) 1/2))) eps)) (* 1/4 (pow x 2))))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))
(* x (+ (* 1/2 (/ (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1)))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2)))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))))
(* x (+ (* 1/2 (/ (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1)))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2)))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))))
(* x (+ (* 1/2 (/ (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1)))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2)))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))))
(* 1/2 (/ (* (pow x 2) (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1)))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2))))))
(* (pow x 2) (+ (* 1/2 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2)))))) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)))
(* (pow x 2) (+ (* 1/2 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2)))))) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)))
(* (pow x 2) (+ (* 1/2 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2)))))) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)))
(* 1/2 (/ (* (pow x 2) (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1)))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2))))))
(* (pow x 2) (+ (* 1/2 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2)))))) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)))
(* (pow x 2) (+ (* 1/2 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2)))))) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)))
(* (pow x 2) (+ (* 1/2 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2)))))) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)))
(/ (* x (- (* 1/4 x) 1/2)) eps)
(/ (+ (* 1/2 (* eps (* x (- (* 1/2 x) x)))) (* x (- (* 1/4 x) 1/2))) eps)
(/ (+ (* eps (+ (* 1/2 (* x (- (* 1/2 x) x))) (* eps (* x (+ 1/2 (* 1/2 (- (* -1/2 x) (+ x (* 2 (- (* 1/2 x) x)))))))))) (* x (- (* 1/4 x) 1/2))) eps)
(/ (+ (* eps (+ (* 1/2 (* x (- (* 1/2 x) x))) (* eps (+ (* 1/2 (* eps (* x (- (* -1 x) (+ (* 1/2 x) (+ (* 2 (- (* -1/2 x) (+ x (* 2 (- (* 1/2 x) x))))) (* 2 (- (* 1/2 x) x)))))))) (* x (+ 1/2 (* 1/2 (- (* -1/2 x) (+ x (* 2 (- (* 1/2 x) x))))))))))) (* x (- (* 1/4 x) 1/2))) eps)
(* 1/4 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/4 (pow x 2)) (/ (* x (+ 1/2 (* 1/2 (- (* 1/2 x) x)))) eps)))
(* (pow eps 2) (+ (* 1/4 (pow x 2)) (+ (* 1/2 (/ (* x (- (* -1/2 x) (+ x (* 2 (- (* 1/2 x) x))))) (pow eps 2))) (/ (* x (+ 1/2 (* 1/2 (- (* 1/2 x) x)))) eps))))
(* (pow eps 2) (+ (* 1/4 (pow x 2)) (+ (* 1/2 (/ (* x (- (* -1/2 x) (+ x (* 2 (- (* 1/2 x) x))))) (pow eps 2))) (+ (/ (* x (+ 1/2 (* 1/2 (- (* 1/2 x) x)))) eps) (/ (* x (- (* 1/2 (- (* -1 x) (+ (* 1/2 x) (+ (* 2 (- (* -1/2 x) (+ x (* 2 (- (* 1/2 x) x))))) (* 2 (- (* 1/2 x) x)))))) 1/2)) (pow eps 3))))))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* -1 (/ (* x (- (* -1/2 (- (* 1/2 x) x)) 1/2)) eps)) (* 1/4 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 (/ (* x (- (* 1/2 x) (+ (* -2 (- (* 1/2 x) x)) (* -1 x)))) eps)) (* x (- (* -1/2 (- (* 1/2 x) x)) 1/2))) eps)) (* 1/4 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (+ 1/2 (* -1/2 (- (* -1 x) (+ (* -2 (- (* 1/2 x) (+ (* -2 (- (* 1/2 x) x)) (* -1 x)))) (+ (* 1/2 x) (* 2 (- (* 1/2 x) x)))))))) eps)) (* -1/2 (* x (- (* 1/2 x) (+ (* -2 (- (* 1/2 x) x)) (* -1 x)))))) eps)) (* x (- (* -1/2 (- (* 1/2 x) x)) 1/2))) eps)) (* 1/4 (pow x 2))))
(/ (- (* 1/4 x) 1/2) eps)
(/ (- (+ (* 1/4 x) (* 1/2 (* eps (- (* 1/2 x) x)))) 1/2) eps)
(/ (- (+ (* 1/4 x) (* eps (+ (* 1/2 (- (* 1/2 x) x)) (* eps (+ 1/2 (* 1/2 (- (* -1/2 x) (+ x (* 2 (- (* 1/2 x) x)))))))))) 1/2) eps)
(/ (- (+ (* 1/4 x) (* eps (+ (* 1/2 (- (* 1/2 x) x)) (* eps (+ 1/2 (+ (* 1/2 (* eps (- (* -1 x) (+ (* 1/2 x) (+ (* 2 (- (* -1/2 x) (+ x (* 2 (- (* 1/2 x) x))))) (* 2 (- (* 1/2 x) x))))))) (* 1/2 (- (* -1/2 x) (+ x (* 2 (- (* 1/2 x) x))))))))))) 1/2) eps)
(* 1/4 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 1/4 x) (+ (* 1/2 (/ (- (* 1/2 x) x) eps)) (* 1/2 (/ 1 eps)))))
(* (pow eps 2) (+ (* 1/4 x) (+ (* 1/2 (/ (- (* -1/2 x) (+ x (* 2 (- (* 1/2 x) x)))) (pow eps 2))) (+ (* 1/2 (/ (- (* 1/2 x) x) eps)) (* 1/2 (/ 1 eps))))))
(* (pow eps 2) (- (+ (* 1/4 x) (+ (* 1/2 (/ (- (* -1 x) (+ (* 1/2 x) (+ (* 2 (- (* -1/2 x) (+ x (* 2 (- (* 1/2 x) x))))) (* 2 (- (* 1/2 x) x))))) (pow eps 3))) (+ (* 1/2 (/ (- (* -1/2 x) (+ x (* 2 (- (* 1/2 x) x)))) (pow eps 2))) (+ (* 1/2 (/ (- (* 1/2 x) x) eps)) (* 1/2 (/ 1 eps)))))) (* 1/2 (/ 1 (pow eps 3)))))
(* 1/4 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1 (/ (- (* -1/2 (- (* 1/2 x) x)) 1/2) eps)) (* 1/4 x)))
(* (pow eps 2) (+ (* -1 (/ (- (+ (* -1/2 (- (* 1/2 x) x)) (* 1/2 (/ (- (* 1/2 x) (+ (* -2 (- (* 1/2 x) x)) (* -1 x))) eps))) 1/2) eps)) (* 1/4 x)))
(* (pow eps 2) (+ (* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (* -1/2 (- (* -1 x) (+ (* -2 (- (* 1/2 x) (+ (* -2 (- (* 1/2 x) x)) (* -1 x)))) (+ (* 1/2 x) (* 2 (- (* 1/2 x) x))))))) eps)) (* -1/2 (- (* 1/2 x) (+ (* -2 (- (* 1/2 x) x)) (* -1 x))))) eps)) (* -1/2 (- (* 1/2 x) x))) 1/2) eps)) (* 1/4 x)))
(* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))
(+ (* 1/2 (/ (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1)))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2)))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))
(+ (* 1/2 (/ (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1)))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2)))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))
(+ (* 1/2 (/ (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1)))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2)))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))
(* 1/2 (/ (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1)))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2))))))
(* x (+ (* 1/2 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2)))))) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)))
(* x (+ (* 1/2 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2)))))) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)))
(* x (+ (* 1/2 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2)))))) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)))
(* 1/2 (/ (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1)))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2))))))
(* -1 (* x (+ (* -1 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)) (* -1/2 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2)))))))))
(* -1 (* x (+ (* -1 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)) (* -1/2 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2)))))))))
(* -1 (* x (+ (* -1 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)) (* -1/2 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2)))))))))
(* 1/2 (/ (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1)))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2))))))
(* 1/2 (/ (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1)))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2))))))
(* 1/2 (/ (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1)))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2))))))
(* 1/2 (/ (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1)))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2))))))
(* 1/2 (/ (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1)))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2))))))
(* 1/2 (/ (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1)))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2))))))
(* 1/2 (/ (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1)))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2))))))
(* 1/2 (/ (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1)))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2))))))
(* 1/2 (/ (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1)))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2))))))
(* 1/2 (/ (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1)))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2))))))
(* 1/2 (/ (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1)))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2))))))
(* 1/2 (/ (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1)))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2))))))
(* 1/4 (/ x eps))
(/ (+ (* 1/4 x) (* 1/2 (* eps (- (* 1/2 x) x)))) eps)
(/ (+ (* 1/4 x) (* eps (+ (* 1/2 (* eps (- (* -1/2 x) (+ x (* 2 (- (* 1/2 x) x)))))) (* 1/2 (- (* 1/2 x) x))))) eps)
(/ (+ (* 1/4 x) (* eps (+ (* 1/2 (- (* 1/2 x) x)) (* eps (+ (* 1/2 (* eps (- (* -1 x) (+ (* 1/2 x) (+ (* 2 (- (* -1/2 x) (+ x (* 2 (- (* 1/2 x) x))))) (* 2 (- (* 1/2 x) x))))))) (* 1/2 (- (* -1/2 x) (+ x (* 2 (- (* 1/2 x) x)))))))))) eps)
(* 1/4 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 1/4 x) (* 1/2 (/ (- (* 1/2 x) x) eps))))
(* (pow eps 2) (+ (* 1/4 x) (+ (* 1/2 (/ (- (* -1/2 x) (+ x (* 2 (- (* 1/2 x) x)))) (pow eps 2))) (* 1/2 (/ (- (* 1/2 x) x) eps)))))
(* (pow eps 2) (+ (* 1/4 x) (+ (* 1/2 (/ (- (* -1 x) (+ (* 1/2 x) (+ (* 2 (- (* -1/2 x) (+ x (* 2 (- (* 1/2 x) x))))) (* 2 (- (* 1/2 x) x))))) (pow eps 3))) (+ (* 1/2 (/ (- (* -1/2 x) (+ x (* 2 (- (* 1/2 x) x)))) (pow eps 2))) (* 1/2 (/ (- (* 1/2 x) x) eps))))))
(* 1/4 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 1/4 x) (* 1/2 (/ (- (* 1/2 x) x) eps))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1/2 (- (* 1/2 x) x)) (* 1/2 (/ (- (* 1/2 x) (+ (* -2 (- (* 1/2 x) x)) (* -1 x))) eps))) eps)) (* 1/4 x)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (- (* 1/2 x) (+ (* -2 (- (* 1/2 x) x)) (* -1 x)))) (* 1/2 (/ (- (* -1 x) (+ (* -2 (- (* 1/2 x) (+ (* -2 (- (* 1/2 x) x)) (* -1 x)))) (+ (* 1/2 x) (* 2 (- (* 1/2 x) x))))) eps))) eps)) (* -1/2 (- (* 1/2 x) x))) eps)) (* 1/4 x)))
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(* 1/2 (pow eps 2))
(+ (* 1/2 (pow eps 2)) (* x (+ 1/4 (+ (* -1/4 eps) (* (pow eps 2) (- (* 1/4 eps) 1/4))))))
(+ (* 1/2 (pow eps 2)) (* x (+ 1/4 (+ (* -1/4 eps) (* (pow eps 2) (- (* 1/4 eps) 1/4))))))
(+ (* 1/2 (pow eps 2)) (* x (+ 1/4 (+ (* -1/4 eps) (* (pow eps 2) (- (* 1/4 eps) 1/4))))))
(* x (+ 1/4 (+ (* -1/4 eps) (* (pow eps 2) (- (* 1/4 eps) 1/4)))))
(* x (+ 1/4 (+ (* -1/4 eps) (+ (* 1/2 (/ (pow eps 2) x)) (* (pow eps 2) (- (* 1/4 eps) 1/4))))))
(* x (+ 1/4 (+ (* -1/4 eps) (+ (* 1/2 (/ (pow eps 2) x)) (* (pow eps 2) (- (* 1/4 eps) 1/4))))))
(* x (+ 1/4 (+ (* -1/4 eps) (+ (* 1/2 (/ (pow eps 2) x)) (* (pow eps 2) (- (* 1/4 eps) 1/4))))))
(* -1 (* x (+ (* -1 (* (pow eps 2) (- (* 1/4 eps) 1/4))) (* -1 (+ 1/4 (* -1/4 eps))))))
(* -1 (* x (+ (* -1 (* (pow eps 2) (- (* 1/4 eps) 1/4))) (+ (* -1 (+ 1/4 (* -1/4 eps))) (* -1/2 (/ (pow eps 2) x))))))
(* -1 (* x (+ (* -1 (* (pow eps 2) (- (* 1/4 eps) 1/4))) (+ (* -1 (+ 1/4 (* -1/4 eps))) (* -1/2 (/ (pow eps 2) x))))))
(* -1 (* x (+ (* -1 (* (pow eps 2) (- (* 1/4 eps) 1/4))) (+ (* -1 (+ 1/4 (* -1/4 eps))) (* -1/2 (/ (pow eps 2) x))))))
(* 1/4 x)
(+ (* -1/4 (* eps x)) (* 1/4 x))
(+ (* 1/4 x) (* eps (+ (* -1/4 x) (* eps (+ 1/2 (* -1/4 x))))))
(+ (* 1/4 x) (* eps (+ (* -1/4 x) (* eps (+ 1/2 (+ (* -1/4 x) (* 1/4 (* eps x))))))))
(* 1/4 (* (pow eps 3) x))
(* (pow eps 3) (+ (* -1/4 (/ x eps)) (+ (* 1/4 x) (* 1/2 (/ 1 eps)))))
(* (pow eps 3) (+ (* -1/4 (/ x eps)) (+ (* -1/4 (/ x (pow eps 2))) (+ (* 1/4 x) (* 1/2 (/ 1 eps))))))
(* (pow eps 3) (+ (* -1/4 (/ x eps)) (+ (* -1/4 (/ x (pow eps 2))) (+ (* 1/4 x) (+ (* 1/4 (/ x (pow eps 3))) (* 1/2 (/ 1 eps)))))))
(* 1/4 (* (pow eps 3) x))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/2 (* -1/4 x)) eps)) (* -1/4 x))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/2 (+ (* -1/4 x) (* -1/4 (/ x eps)))) eps)) (* -1/4 x))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ (* -1/4 (/ x eps)) (* 1/4 x)) eps)) (* -1/4 x))) eps)) (* -1/4 x))))
(* (pow eps 2) (+ 1/2 (* -1/4 x)))
(* (pow eps 2) (+ 1/2 (+ (* -1/4 x) (* 1/4 (* eps x)))))
(* (pow eps 2) (+ 1/2 (+ (* -1/4 x) (* 1/4 (* eps x)))))
(* (pow eps 2) (+ 1/2 (+ (* -1/4 x) (* 1/4 (* eps x)))))
(* 1/4 (* (pow eps 3) x))
(* (pow eps 3) (+ (* -1/4 (/ x eps)) (+ (* 1/4 x) (* 1/2 (/ 1 eps)))))
(* (pow eps 3) (+ (* -1/4 (/ x eps)) (+ (* 1/4 x) (* 1/2 (/ 1 eps)))))
(* (pow eps 3) (+ (* -1/4 (/ x eps)) (+ (* 1/4 x) (* 1/2 (/ 1 eps)))))
(* 1/4 (* (pow eps 3) x))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/2 (* -1/4 x)) eps)) (* -1/4 x))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/2 (* -1/4 x)) eps)) (* -1/4 x))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/2 (* -1/4 x)) eps)) (* -1/4 x))))
(* 1/2 (pow eps 2))
(+ (* 1/2 (pow eps 2)) (* (pow eps 2) (* x (- (* 1/4 eps) 1/4))))
(+ (* 1/2 (pow eps 2)) (* (pow eps 2) (* x (- (* 1/4 eps) 1/4))))
(+ (* 1/2 (pow eps 2)) (* (pow eps 2) (* x (- (* 1/4 eps) 1/4))))
(* (pow eps 2) (* x (- (* 1/4 eps) 1/4)))
(* x (+ (* 1/2 (/ (pow eps 2) x)) (* (pow eps 2) (- (* 1/4 eps) 1/4))))
(* x (+ (* 1/2 (/ (pow eps 2) x)) (* (pow eps 2) (- (* 1/4 eps) 1/4))))
(* x (+ (* 1/2 (/ (pow eps 2) x)) (* (pow eps 2) (- (* 1/4 eps) 1/4))))
(* (pow eps 2) (* x (- (* 1/4 eps) 1/4)))
(* -1 (* x (+ (* -1 (* (pow eps 2) (- (* 1/4 eps) 1/4))) (* -1/2 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -1 (* (pow eps 2) (- (* 1/4 eps) 1/4))) (* -1/2 (/ (pow eps 2) x)))))
(* -1 (* x (+ (* -1 (* (pow eps 2) (- (* 1/4 eps) 1/4))) (* -1/2 (/ (pow eps 2) x)))))
1
(+ 1 (* -2 eps))
(+ 1 (* eps (- eps 2)))
(+ 1 (* eps (- eps 2)))
(pow eps 2)
(* (pow eps 2) (- 1 (* 2 (/ 1 eps))))
(* (pow eps 2) (- (+ 1 (/ 1 (pow eps 2))) (* 2 (/ 1 eps))))
(* (pow eps 2) (- (+ 1 (/ 1 (pow eps 2))) (* 2 (/ 1 eps))))
(pow eps 2)
(* (pow eps 2) (- 1 (* 2 (/ 1 eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (- 2 (/ 1 eps)) eps))))
(* (pow eps 2) (+ 1 (* -1 (/ (- 2 (/ 1 eps)) eps))))
(/ (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1)))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2)))))
(/ (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1)))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2)))))
(/ (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1)))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2)))))
(/ (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1)))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2)))))
(/ (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1)))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2)))))
(/ (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1)))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2)))))
(/ (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1)))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2)))))
(/ (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1)))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2)))))
(/ (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1)))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2)))))
(/ (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1)))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2)))))
(/ (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1)))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2)))))
(/ (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (* (- (pow eps 2) 1) (- (pow eps 3) 1)))) (* (+ 1 eps) (+ 1 (+ eps (pow eps 2)))))
(* 1/2 (/ x eps))
(/ (+ (* 1/2 x) (* eps (- (* 1/2 x) x))) eps)
(/ (+ (* 1/2 x) (* eps (- (+ (* 1/2 x) (* eps (- (* -1/2 x) (+ x (* 2 (- (* 1/2 x) x)))))) x))) eps)
(/ (+ (* 1/2 x) (* eps (- (+ (* 1/2 x) (* eps (- (+ (* -1/2 x) (* eps (- (* -1 x) (+ (* 1/2 x) (+ (* 2 (- (* -1/2 x) (+ x (* 2 (- (* 1/2 x) x))))) (* 2 (- (* 1/2 x) x))))))) (+ x (* 2 (- (* 1/2 x) x)))))) x))) eps)
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (- (+ (* 1/2 x) (* 1/2 (/ x eps))) (/ x eps)))
(* (pow eps 2) (- (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/2 x) (* 1/2 (/ x eps)))) (+ (* 2 (/ (- (* 1/2 x) x) (pow eps 2))) (+ (/ x eps) (/ x (pow eps 2))))))
(* (pow eps 2) (- (+ (* -1 (/ x (pow eps 3))) (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/2 x) (* 1/2 (/ x eps))))) (+ (* 1/2 (/ x (pow eps 3))) (+ (* 2 (/ (- (* -1/2 x) (+ x (* 2 (- (* 1/2 x) x)))) (pow eps 3))) (+ (* 2 (/ (- (* 1/2 x) x) (pow eps 2))) (+ (* 2 (/ (- (* 1/2 x) x) (pow eps 3))) (+ (/ x eps) (/ x (pow eps 2)))))))))
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (- (+ (* 1/2 x) (* 1/2 (/ x eps))) (/ x eps)))
(* (pow eps 2) (+ (* -1 (/ (- (+ (* -1 (- (* 1/2 x) x)) (* 1/2 (/ x eps))) (+ (* -2 (/ (- (* 1/2 x) x) eps)) (* -1 (/ x eps)))) eps)) (* 1/2 x)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (- (* 1/2 x) x)) (* -1 (/ (- (+ (* -1 (- (* 1/2 x) (+ (* -2 (- (* 1/2 x) x)) (* -1 x)))) (* -1 (/ x eps))) (+ (* -2 (/ (- (* 1/2 x) (+ (* -2 (- (* 1/2 x) x)) (* -1 x))) eps)) (+ (* 1/2 (/ x eps)) (* 2 (/ (- (* 1/2 x) x) eps))))) eps))) eps)) (* 1/2 x)))
(* x (+ 1/2 (* 1/2 (/ 1 eps))))
(* x (+ 1/2 (* 1/2 (/ 1 eps))))
(* x (+ 1/2 (* 1/2 (/ 1 eps))))
(* x (+ 1/2 (* 1/2 (/ 1 eps))))
(* x (+ 1/2 (* 1/2 (/ 1 eps))))
(* x (+ 1/2 (* 1/2 (/ 1 eps))))
(* x (+ 1/2 (* 1/2 (/ 1 eps))))
(* x (+ 1/2 (* 1/2 (/ 1 eps))))
(* x (+ 1/2 (* 1/2 (/ 1 eps))))
(* x (+ 1/2 (* 1/2 (/ 1 eps))))
(* x (+ 1/2 (* 1/2 (/ 1 eps))))
(* x (+ 1/2 (* 1/2 (/ 1 eps))))
(* 1/2 (/ x eps))
(/ (+ (* 1/2 x) (* 1/2 (* eps x))) eps)
(/ (+ (* 1/2 x) (* 1/2 (* eps x))) eps)
(/ (+ (* 1/2 x) (* 1/2 (* eps x))) eps)
(* 1/2 x)
(+ (* 1/2 x) (* 1/2 (/ x eps)))
(+ (* 1/2 x) (* 1/2 (/ x eps)))
(+ (* 1/2 x) (* 1/2 (/ x eps)))
(* 1/2 x)
(+ (* 1/2 x) (* 1/2 (/ x eps)))
(+ (* 1/2 x) (* 1/2 (/ x eps)))
(+ (* 1/2 x) (* 1/2 (/ x eps)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/4 (* (pow eps 2) (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x)))))
(+ 1 (* 1/4 (* (pow eps 2) (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x)))))
(+ 1 (* 1/4 (* (pow eps 2) (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x)))))
(* 1/4 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x))))
(* (pow x 2) (+ (* 1/4 (pow eps 2)) (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x)))))
(* (pow x 2) (+ (* 1/4 (pow eps 2)) (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x)))))
(* (pow x 2) (+ (* 1/4 (pow eps 2)) (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x)))))
(* 1/4 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x))))
(* (pow x 2) (+ (* 1/4 (pow eps 2)) (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x)))))
(* (pow x 2) (+ (* 1/4 (pow eps 2)) (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x)))))
(* (pow x 2) (+ (* 1/4 (pow eps 2)) (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/4 (* (pow eps 2) (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x)))))
(+ 1 (* 1/4 (* (pow eps 2) (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x)))))
(+ 1 (* 1/4 (* (pow eps 2) (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x)))))
(* 1/4 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x))))
(* (pow eps 2) (+ (* 1/4 (pow x 2)) (/ 1 (pow eps 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x)))))
(* (pow eps 2) (+ (* 1/4 (pow x 2)) (/ 1 (pow eps 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x)))))
(* (pow eps 2) (+ (* 1/4 (pow x 2)) (/ 1 (pow eps 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x)))))
(* 1/4 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x))))
(* (pow eps 2) (+ (* 1/4 (pow x 2)) (/ 1 (pow eps 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x)))))
(* (pow eps 2) (+ (* 1/4 (pow x 2)) (/ 1 (pow eps 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x)))))
(* (pow eps 2) (+ (* 1/4 (pow x 2)) (/ 1 (pow eps 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x)))))
(* 1/4 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x))))
(* 1/4 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x))))
(* 1/4 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x))))
(* 1/4 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x))))
(* 1/4 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x))))
(* 1/4 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x))))
(* 1/4 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x))))
(* 1/4 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x))))
(* 1/4 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x))))
(* 1/4 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x))))
(* 1/4 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x))))
(* 1/4 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x))))
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(*.f64 (*.f64 eps eps) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (-.f64 (-.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) eps) (*.f64 x #s(literal -1/2 binary64))) (-.f64 (/.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -2 binary64)) eps) (/.f64 x eps))) eps)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (- (* 1/2 x) x)) (* -1 (/ (- (+ (* -1 (- (* 1/2 x) (+ (* -2 (- (* 1/2 x) x)) (* -1 x)))) (* -1 (/ x eps))) (+ (* -2 (/ (- (* 1/2 x) (+ (* -2 (- (* 1/2 x) x)) (* -1 x))) eps)) (+ (* 1/2 (/ x eps)) (* 2 (/ (- (* 1/2 x) x) eps))))) eps))) eps)) (* 1/2 x)))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 x eps)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -2 binary64)) x))) (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -2 binary64)) x))) eps) (+.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) eps) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 x #s(literal -1/2 binary64))) eps)))) eps))) eps)))
(* x (+ 1/2 (* 1/2 (/ 1 eps))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(* x (+ 1/2 (* 1/2 (/ 1 eps))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(* x (+ 1/2 (* 1/2 (/ 1 eps))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(* x (+ 1/2 (* 1/2 (/ 1 eps))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(* x (+ 1/2 (* 1/2 (/ 1 eps))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(* x (+ 1/2 (* 1/2 (/ 1 eps))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(* x (+ 1/2 (* 1/2 (/ 1 eps))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(* x (+ 1/2 (* 1/2 (/ 1 eps))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(* x (+ 1/2 (* 1/2 (/ 1 eps))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(* x (+ 1/2 (* 1/2 (/ 1 eps))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(* x (+ 1/2 (* 1/2 (/ 1 eps))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(* x (+ 1/2 (* 1/2 (/ 1 eps))))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(* 1/2 (/ x eps))
(/.f64 (*.f64 x #s(literal 1/2 binary64)) eps)
(/ (+ (* 1/2 x) (* 1/2 (* eps x))) eps)
(/.f64 (*.f64 x (+.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) eps)
(/ (+ (* 1/2 x) (* 1/2 (* eps x))) eps)
(/.f64 (*.f64 x (+.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) eps)
(/ (+ (* 1/2 x) (* 1/2 (* eps x))) eps)
(/.f64 (*.f64 x (+.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) eps)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 (/ x eps)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(+ (* 1/2 x) (* 1/2 (/ x eps)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(+ (* 1/2 x) (* 1/2 (/ x eps)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(+ (* 1/2 x) (* 1/2 (/ x eps)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(+ (* 1/2 x) (* 1/2 (/ x eps)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(+ (* 1/2 x) (* 1/2 (/ x eps)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))

eval178.0ms (1.3%)

Compiler

Compiled 40376 to 3607 computations (91.1% saved)

prune197.0ms (1.4%)

Pruning

24 alts after pruning (19 fresh and 5 done)

PrunedKeptTotal
New104491053
Fresh71017
Picked325
Done033
Total1054241078
Accuracy
100.0%
Counts
1078 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.9%
(/.f64 (-.f64 (pow.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))))))) #s(literal 3 binary64)) (pow.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))))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))) (/.f64 (*.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))))) (+.f64 (*.f64 (/.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 (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))) #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))) (/.f64 (*.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))))))))
42.0%
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) (*.f64 x x)) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
12.5%
(/.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) #s(literal -1/3 binary64)) eps)
✓17.2%
(/.f64 (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))) eps)
72.4%
(-.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 x (/.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 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))))
51.0%
(-.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))))
79.2%
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 eps x)))) eps)))
59.8%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 (+.f64 eps #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 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/4 binary64))))))))
75.7%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x eps) (*.f64 eps #s(literal 1/4 binary64)))))
23.1%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) #s(literal 1/4 binary64)))))
36.8%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps eps)) #s(literal 1/4 binary64)))))
✓75.1%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))))
41.9%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
74.7%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))))
66.5%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
14.6%
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))
38.2%
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))
14.6%
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))
64.1%
(*.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)))))
✓83.2%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
✓11.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
33.0%
(*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x))))
✓42.9%
#s(literal 1 binary64)
18.7%
#s(literal 0 binary64)
Compiler

Compiled 3109 to 662 computations (78.7% saved)

regimes73.0ms (0.5%)

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

4 calls:

17.0ms
eps
16.0ms
x
15.0ms
(-.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)))))
13.0ms
(/.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
99.6%1x
99.6%1eps
99.6%1(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
99.6%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)

regimes39.0ms (0.3%)

Counts
49 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 0 binary64) eps)
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(*.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 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x))))
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(+.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 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x eps) (*.f64 eps #s(literal 1/4 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 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))) eps)
(/.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) #s(literal -1/3 binary64)) eps)
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 eps x)))) eps)))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 x (/.f64 (+.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) eps)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps eps)) #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (-.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 x (/.f64 x eps))) #s(literal -1/2 binary64)) eps))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) #s(literal 1/4 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (/.f64 eps (*.f64 x x))) x)) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) eps)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.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 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 eps #s(literal -1/4 binary64)))) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 eps #s(literal 1/4 binary64))))))) #s(literal -1/2 binary64)) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (+.f64 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal -1 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 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/12 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) eps) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) (*.f64 x x)) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 (+.f64 eps #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 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/4 binary64))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x #s(literal 1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))) (+.f64 eps #s(literal -1 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1/4 binary64)))) (*.f64 (*.f64 x eps) (+.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 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1/4 binary64)))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (/.f64 (*.f64 (+.f64 (*.f64 eps eps) #s(literal -1 binary64)) (+.f64 (*.f64 eps eps) #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 x #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))))))) #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 #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 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (/.f64 (*.f64 (+.f64 (*.f64 eps eps) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps))))))))))
(+.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 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 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps)))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.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 (+.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 (+.f64 (*.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 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1/2 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (/.f64 (+.f64 (+.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (/.f64 #s(literal -1 binary64) x)) x)) x)) (neg.f64 (*.f64 x (*.f64 x x))))
(*.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 eps))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(*.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 (*.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 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Outputs
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.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

2 calls:

15.0ms
eps
14.0ms
x
Results
AccuracySegmentsBranch
85.6%2x
100.0%2eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes24.0ms (0.2%)

Counts
48 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 0 binary64) eps)
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(*.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 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x))))
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(+.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 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x eps) (*.f64 eps #s(literal 1/4 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 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))) eps)
(/.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) #s(literal -1/3 binary64)) eps)
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 eps x)))) eps)))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 x (/.f64 (+.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) eps)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps eps)) #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (-.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 x (/.f64 x eps))) #s(literal -1/2 binary64)) eps))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) #s(literal 1/4 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (/.f64 eps (*.f64 x x))) x)) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) eps)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.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 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 eps #s(literal -1/4 binary64)))) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 eps #s(literal 1/4 binary64))))))) #s(literal -1/2 binary64)) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (+.f64 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal -1 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 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/12 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) eps) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) (*.f64 x x)) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 (+.f64 eps #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 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/4 binary64))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x #s(literal 1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))) (+.f64 eps #s(literal -1 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1/4 binary64)))) (*.f64 (*.f64 x eps) (+.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 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1/4 binary64)))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (/.f64 (*.f64 (+.f64 (*.f64 eps eps) #s(literal -1 binary64)) (+.f64 (*.f64 eps eps) #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 x #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))))))) #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 #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 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (/.f64 (*.f64 (+.f64 (*.f64 eps eps) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps))))))))))
(+.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 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 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps)))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.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 (+.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 (+.f64 (*.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 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1/2 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (/.f64 (+.f64 (+.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (/.f64 #s(literal -1 binary64) x)) x)) x)) (neg.f64 (*.f64 x (*.f64 x x))))
(*.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 eps))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(*.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 (*.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))))
Outputs
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 eps x)))) eps)))
Calls

1 calls:

15.0ms
eps
Results
AccuracySegmentsBranch
95.6%2eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes27.0ms (0.2%)

Counts
39 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 0 binary64) eps)
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(*.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 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x))))
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(+.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 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x eps) (*.f64 eps #s(literal 1/4 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 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))) eps)
(/.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) #s(literal -1/3 binary64)) eps)
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 eps x)))) eps)))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 x (/.f64 (+.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) eps)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (/.f64 (*.f64 eps (*.f64 eps (*.f64 eps eps))) (*.f64 eps eps)) #s(literal 1/4 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (-.f64 (*.f64 x #s(literal 1/4 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 x (/.f64 x eps))) #s(literal -1/2 binary64)) eps))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (/.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))) #s(literal 1/4 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 eps #s(literal -1/3 binary64)) (/.f64 (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (/.f64 eps (*.f64 x x))) x)) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) eps)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.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 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 eps #s(literal -1/4 binary64)))) (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/4 binary64) (*.f64 eps #s(literal 1/4 binary64))))))) #s(literal -1/2 binary64)) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (+.f64 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal -1 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 (*.f64 x #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/12 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))) eps) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) (*.f64 x x)) (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/12 binary64) (*.f64 (+.f64 eps #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 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/4 binary64))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x #s(literal 1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))) (+.f64 eps #s(literal -1 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1/4 binary64)))) (*.f64 (*.f64 x eps) (+.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 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1/4 binary64)))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x 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 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (/.f64 (*.f64 (+.f64 (*.f64 eps eps) #s(literal -1 binary64)) (+.f64 (*.f64 eps eps) #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 x #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))))))) #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 #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 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (/.f64 (*.f64 (+.f64 (*.f64 eps eps) #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps))))))))))
(+.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 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 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps)))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 (*.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 (+.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 (+.f64 (*.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 1/4 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1/2 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (/.f64 (+.f64 (+.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (/.f64 #s(literal -1 binary64) x)) x)) x)) (neg.f64 (*.f64 x (*.f64 x x))))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 eps x)))) eps)))
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))
Calls

2 calls:

12.0ms
eps
12.0ms
x
Results
AccuracySegmentsBranch
82.9%2x
79.2%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes14.0ms (0.1%)

Counts
17 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 0 binary64) eps)
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(*.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 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x))))
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
(+.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 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x eps) (*.f64 eps #s(literal 1/4 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 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/3 binary64))) eps)
(/.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 x x))) #s(literal -1/3 binary64)) eps)
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x eps) (*.f64 eps #s(literal 1/4 binary64)))))
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))
Calls

2 calls:

7.0ms
eps
6.0ms
x
Results
AccuracySegmentsBranch
75.7%1eps
80.1%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
79.6%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts
10 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 0 binary64) eps)
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(*.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 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x))))
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) #s(literal 0 binary64)))
Outputs
(*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))
Calls

2 calls:

5.0ms
x
4.0ms
eps
Results
AccuracySegmentsBranch
63.9%2eps
72.9%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts
8 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 0 binary64) eps)
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(*.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 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x))))
Outputs
(*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x))))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
70.8%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
7 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(/.f64 #s(literal 0 binary64) eps)
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))
(*.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 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))
Calls

2 calls:

4.0ms
eps
3.0ms
x
Results
AccuracySegmentsBranch
47.6%2eps
61.6%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
58.9%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
x
1.0ms
eps
Results
AccuracySegmentsBranch
18.7%1eps
18.7%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch44.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
41.0ms
0.14417281290827857
45.76851137368913
Results
17.0ms128×0valid
0.0ms3×0unsamplable
Compiler

Compiled 252 to 191 computations (24.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 4.0ms (30.7% of total)
ival-exp: 3.0ms (23% of total)
ival-sub: 2.0ms (15.4% of total)
ival-div: 2.0ms (15.4% of total)
ival-add: 1.0ms (7.7% of total)
ival-neg: 1.0ms (7.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch44.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
41.0ms
0.14417281290827857
45.76851137368913
Results
16.0ms128×0valid
1.0ms5×0unsamplable
Compiler

Compiled 268 to 191 computations (28.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 4.0ms (33% of total)
ival-sub: 2.0ms (16.5% of total)
ival-div: 2.0ms (16.5% of total)
ival-exp: 2.0ms (16.5% of total)
ival-add: 1.0ms (8.2% of total)
ival-neg: 1.0ms (8.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch49.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
42.0ms
3.139521918499433e-10
1.2511326120238078e-5
Results
15.0ms25×2valid
12.0ms38×1valid
8.0ms65×0valid
Compiler

Compiled 276 to 183 computations (33.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-exp: 7.0ms (24.7% of total)
ival-mult: 6.0ms (21.2% of total)
ival-add: 4.0ms (14.1% of total)
ival-div: 3.0ms (10.6% of total)
ival-sub: 3.0ms (10.6% of total)
ival-neg: 3.0ms (10.6% of total)
backward-pass: 2.0ms (7.1% of total)
const: 0.0ms (0% of total)

bsearch43.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
39.0ms
3.139521918499433e-10
1.2511326120238078e-5
Results
14.0ms39×1valid
11.0ms18×2valid
9.0ms71×0valid
Compiler

Compiled 244 to 167 computations (31.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-exp: 7.0ms (25.1% of total)
ival-mult: 6.0ms (21.5% of total)
backward-pass: 4.0ms (14.3% of total)
ival-div: 3.0ms (10.7% of total)
ival-sub: 3.0ms (10.7% of total)
ival-add: 3.0ms (10.7% of total)
ival-neg: 2.0ms (7.2% of total)
const: 1.0ms (3.6% of total)

bsearch48.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
44.0ms
3.139521918499433e-10
1.2511326120238078e-5
Results
18.0ms33×2valid
13.0ms37×1valid
8.0ms58×0valid
Compiler

Compiled 244 to 167 computations (31.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-exp: 8.0ms (25.1% of total)
ival-mult: 8.0ms (25.1% of total)
ival-div: 4.0ms (12.6% of total)
ival-sub: 4.0ms (12.6% of total)
ival-neg: 4.0ms (12.6% of total)
backward-pass: 2.0ms (6.3% of total)
ival-add: 2.0ms (6.3% of total)
const: 0.0ms (0% of total)

bsearch92.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
47.0ms
1.268359345950242e-19
2.6532738353910475e-12
36.0ms
-0.0025377718984818816
-1.1397110296439805e-6
Results
28.0ms78×1valid
26.0ms49×2valid
19.0ms145×0valid
Compiler

Compiled 410 to 295 computations (28% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-exp: 15.0ms (25.4% of total)
ival-mult: 13.0ms (22% of total)
ival-div: 7.0ms (11.8% of total)
ival-sub: 7.0ms (11.8% of total)
ival-add: 7.0ms (11.8% of total)
ival-neg: 5.0ms (8.5% of total)
backward-pass: 4.0ms (6.8% of total)
const: 1.0ms (1.7% of total)

bsearch126.0ms (0.9%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
51.0ms
1.268359345950242e-19
2.6532738353910475e-12
62.0ms
-0.0025377718984818816
-1.1397110296439805e-6
Results
56.0ms61×2valid
24.0ms133×0valid
23.0ms78×1valid
Compiler

Compiled 410 to 295 computations (28% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
backward-pass: 28.0ms (33.3% of total)
ival-exp: 14.0ms (16.7% of total)
ival-mult: 13.0ms (15.5% of total)
ival-div: 10.0ms (11.9% of total)
ival-sub: 7.0ms (8.3% of total)
ival-neg: 5.0ms (6% of total)
ival-add: 5.0ms (6% of total)
const: 1.0ms (1.2% of total)

bsearch39.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×predicate-same
1×narrow-enough
Steps
TimeLeftRight
10.0ms
6.033412525524232e+144
3.8035690436415563e+146
24.0ms
4391.439427072557
57306087.335695416
Results
24.0ms192×0valid
Compiler

Compiled 156 to 131 computations (16% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 5.0ms (27.8% of total)
ival-sub: 3.0ms (16.7% of total)
ival-div: 3.0ms (16.7% of total)
ival-exp: 3.0ms (16.7% of total)
ival-add: 2.0ms (11.1% of total)
ival-neg: 2.0ms (11.1% 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
24.0ms
4391.439427072557
57306087.335695416
Results
20.0ms128×0valid
Compiler

Compiled 100 to 87 computations (13% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-exp: 5.0ms (31.9% of total)
ival-mult: 3.0ms (19.2% of total)
ival-sub: 2.0ms (12.8% of total)
ival-div: 2.0ms (12.8% of total)
ival-add: 1.0ms (6.4% of total)
ival-neg: 1.0ms (6.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify15.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
56×*-commutative_binary64
22×+-commutative_binary64
6×sub-neg_binary64
4×neg-mul-1_binary64
2×sub0-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080223
1124223
2129223
3132223
4133223
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(if (<=.f64 eps #s(literal 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 eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(if (<=.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 eps x)))) eps))))
(if (<=.f64 x #s(literal 7378697629483821/590295810358705651712 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 eps x)))) eps))) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))
(if (<=.f64 x #s(literal 7378697629483821/590295810358705651712 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x eps) (*.f64 eps #s(literal 1/4 binary64))))) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))
(if (<=.f64 x #s(literal 7378697629483821/590295810358705651712 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))))) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))
(if (<=.f64 x #s(literal -7673845534663173/147573952589676412928 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x)))) (if (<=.f64 x #s(literal 6338253001141147/19807040628566084398385987584 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))))
(if (<=.f64 x #s(literal -662929865148937/288230376151711744 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x)))) (if (<=.f64 x #s(literal 5446936172855673/2475880078570760549798248448 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x))))))
(if (<=.f64 x #s(literal 4500 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 39999999999999999563482447285636784507139225041605435780720061858901209596441032595416451225830520245186635713283815594336131046093817348450418688 binary64)) #s(literal 0 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))))
(if (<=.f64 x #s(literal 4500 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(if (<=.f64 eps #s(literal 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 eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(if (<=.f64 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 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))))
(if (<=.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 eps x)))) eps))))
(if (<=.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x eps)))) eps))))
(if (<=.f64 x #s(literal 7378697629483821/590295810358705651712 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 eps x)))) eps))) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))
(if (<=.f64 x #s(literal 7378697629483821/590295810358705651712 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x eps)))) eps))) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))
(if (<=.f64 x #s(literal 7378697629483821/590295810358705651712 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x eps) (*.f64 eps #s(literal 1/4 binary64))))) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))
(if (<=.f64 x #s(literal 7378697629483821/590295810358705651712 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))))) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))
(if (<=.f64 x #s(literal 7378697629483821/590295810358705651712 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 eps eps))))) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))))
(if (<=.f64 x #s(literal -7673845534663173/147573952589676412928 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x)))) (if (<=.f64 x #s(literal 6338253001141147/19807040628566084398385987584 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))))
(if (<=.f64 x #s(literal -662929865148937/288230376151711744 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x)))) (if (<=.f64 x #s(literal 5446936172855673/2475880078570760549798248448 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x))))))
(if (<=.f64 x #s(literal 4500 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 39999999999999999563482447285636784507139225041605435780720061858901209596441032595416451225830520245186635713283815594336131046093817348450418688 binary64)) #s(literal 0 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64)))))
(if (<=.f64 x #s(literal 4500 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

soundness2.1s (15.8%)

Rules
5936×+-lowering-+.f64
5936×+-lowering-+.f32
5910×*-lowering-*.f32
5910×*-lowering-*.f64
5366×*-lowering-*.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
054394
1415286
24510268
09334268
01926
15826
216323
354323
4147922
5545022
0824822
096812321
1369111452
0894111452
06778366
124837428
085547428
05975953
121215126
080885126
02942343
19902084
237801831
085551831
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 763 to 458 computations (40% saved)

preprocess64.0ms (0.5%)

Compiler

Compiled 586 to 234 computations (60.1% saved)

end0.0ms (0%)

Profiling

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