NMSE Section 6.1 mentioned, A

Time bar (total: 13.0s)

analyze38.0ms (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: 6.0ms (26.7% of total)
ival-add: 4.0ms (17.8% of total)
ival-sub: 3.0ms (13.3% of total)
ival-div: 3.0ms (13.3% of total)
ival-exp: 3.0ms (13.3% of total)
ival-neg: 2.0ms (8.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample2.8s (21.6%)

Results
860.0ms5904×0valid
673.0ms1344×1valid
637.0ms1008×2valid
123.0ms951×0unsamplable
Precisions
Click to see histograms. Total time spent on operations: 1.8s
ival-exp: 611.0ms (33.4% of total)
ival-mult: 385.0ms (21% of total)
ival-sub: 218.0ms (11.9% of total)
ival-div: 212.0ms (11.6% of total)
ival-add: 157.0ms (8.6% of total)
ival-neg: 126.0ms (6.9% of total)
backward-pass: 104.0ms (5.7% of total)
const: 19.0ms (1% of total)
Bogosity

preprocess244.0ms (1.9%)

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)

explain309.0ms (2.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
852(-1.9974408531677568e-127 0.0004729586745829047)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
02(-315.0976585576223 3.447045643053754e-74)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))
02(-315.0976585576223 3.447045643053754e-74)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
119.0ms74×2valid
58.0ms342×0valid
47.0ms96×1valid
Compiler

Compiled 319 to 59 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 148.0ms
ival-neg: 40.0ms (27% of total)
ival-sub: 34.0ms (22.9% of total)
ival-exp: 23.0ms (15.5% of total)
ival-mult: 22.0ms (14.8% of total)
ival-div: 12.0ms (8.1% of total)
backward-pass: 9.0ms (6.1% of total)
ival-add: 8.0ms (5.4% of total)
const: 1.0ms (0.7% 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
▶67.8%
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
Compiler

Compiled 27 to 18 computations (33.3% saved)

simplify144.0ms (1.1%)

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)

localize122.0ms (0.9%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))
✓accuracy100.0%
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
✓accuracy100.0%
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
✓accuracy67.8%
(-.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
48.0ms171×0valid
27.0ms38×2valid
23.0ms47×1valid
Compiler

Compiled 101 to 19 computations (81.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-mult: 31.0ms (47.5% of total)
ival-exp: 13.0ms (19.9% of total)
ival-div: 6.0ms (9.2% of total)
ival-sub: 6.0ms (9.2% of total)
backward-pass: 4.0ms (6.1% of total)
ival-add: 4.0ms (6.1% of total)
const: 1.0ms (1.5% of total)

series15.0ms (0.1%)

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

30 calls:

TimeVariablePointExpression
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)))

rewrite340.0ms (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
01852
112852
2110352
0845052
Stop Event
1×iter limit
1×node limit
Counts
5 → 229
Calls
Call 1
Inputs
(- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps)))
(exp (* x (+ eps -1)))
(* x (+ eps -1))
(* x (- -1 eps))
Outputs
(+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))
(+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))
(+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (neg.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))))
(+.f64 (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))
(+.f64 (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (+.f64 (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))
(+.f64 (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))
(+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))) (neg.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))))))
(+.f64 (/.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (neg.f64 (/.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))))
(+.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 eps #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (-.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))
(-.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))) (/.f64 (*.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))))
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simplify221.0ms (1.7%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
02561879
18431699
231491569
089961569
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
Calls
Call 1
Inputs
1
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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)))
(+ (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps)))
1
(+ 1 (* x (- eps 1)))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* -1 x))
(+ (exp (* -1 x)) (* eps (* x (exp (* -1 x)))))
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))
(+ (exp (* -1 x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x))))))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* -1 x)
(+ (* -1 x) (* eps x))
(+ (* -1 x) (* eps x))
(+ (* -1 x) (* eps x))
(* eps x)
(* eps (+ x (* -1 (/ x eps))))
(* eps (+ x (* -1 (/ x eps))))
(* eps (+ x (* -1 (/ x eps))))
(* eps x)
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 x)
(+ (* -1 x) (* -1 (* eps x)))
(+ (* -1 x) (* -1 (* eps x)))
(+ (* -1 x) (* -1 (* eps x)))
(* -1 (* eps x))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* -1 (* eps x))
(* -1 (* eps (+ x (/ x eps))))
(* -1 (* eps (+ x (/ x eps))))
(* -1 (* eps (+ x (/ x eps))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* x (- (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
(+ 1 (* x (- (+ (* x (- (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.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)))))))
(+ 1 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.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)))))))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(- (+ (* 1/2 (exp (* -1 x))) (* 1/2 (* x (exp (* -1 x))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x))))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(- (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (* 1/4 (* (pow x 2) (exp (* -1 x))))) (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (*.f64 (*.f64 eps eps) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64))))))))
(- (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/240 (* (pow x 5) (exp (* -1 x)))) (* 1/48 (* (pow x 4) (exp (* -1 x))))) (+ (* -1/48 (* (pow x 4) (exp (* -1 x)))) (* -1/240 (* (pow x 5) (exp (* -1 x))))))))) (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (*.f64 (*.f64 eps eps) (+.f64 (+.f64 (*.f64 (*.f64 eps eps) (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 4 binary64))))))) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64))))) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64))))))))
(- (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/240 (* (pow x 5) (exp (* -1 x)))) (+ (* 1/48 (* (pow x 4) (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/10080 (* (pow x 7) (exp (* -1 x)))) (* 1/1440 (* (pow x 6) (exp (* -1 x))))) (+ (* -1/1440 (* (pow x 6) (exp (* -1 x)))) (* -1/10080 (* (pow x 7) (exp (* -1 x))))))))) (+ (* -1/48 (* (pow x 4) (exp (* -1 x)))) (* -1/240 (* (pow x 5) (exp (* -1 x))))))))) (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (*.f64 (*.f64 eps eps) (+.f64 (+.f64 (*.f64 (*.f64 eps eps) (+.f64 (+.f64 (*.f64 (*.f64 eps eps) (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 #s(literal 1/10080 binary64) (pow.f64 x #s(literal 7 binary64))) (*.f64 #s(literal 1/1440 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 #s(literal 1/10080 binary64) (pow.f64 x #s(literal 7 binary64))) (*.f64 #s(literal 1/1440 binary64) (pow.f64 x #s(literal 6 binary64))))))) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 #s(literal 1/240 binary64) (pow.f64 x #s(literal 5 binary64))) (*.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 4 binary64))))))) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64))))) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64))))))))
(- (* 1/2 (exp (* x (- eps 1)))) (* -1/2 (exp (* -1 (* x (+ 1 eps))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(- (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps))) (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps))))
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal -1/2 binary64) eps))))
(- (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps))) (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps))))
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal -1/2 binary64) eps))))
(- (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps))) (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps))))
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal -1/2 binary64) eps))))
(- (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(- (+ (* -1 (/ (- (* -1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) eps)) (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) eps))
(- (+ (* -1 (/ (- (* -1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) eps)) (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) eps))
(- (+ (* -1 (/ (- (* -1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) eps)) (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) eps))
(+ 1/2 (* 1/2 (/ 1 eps)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
(+ 1/2 (+ (* 1/2 (/ 1 eps)) (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))))
(+.f64 (+.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 x (+.f64 eps #s(literal -1 binary64)))))
(+ 1/2 (+ (* 1/2 (/ 1 eps)) (* x (+ (* 1/2 (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64)))))))))
(+ 1/2 (+ (* 1/2 (/ 1 eps)) (* x (+ (* x (+ (* 1/6 (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/6 binary64) (*.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 x (+.f64 eps #s(literal -1 binary64)))))))))))
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(* 1/2 (/ (exp (* -1 x)) eps))
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1/2 binary64) eps))
(/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* 1/2 (exp (* -1 x))) (* 1/2 (* x (exp (* -1 x))))))) eps)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))))) eps)
(/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (* x (exp (* -1 x)))))))))) eps)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (*.f64 eps (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))))))) eps)
(/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (* 1/4 (* (pow x 2) (exp (* -1 x))))))))))))) eps)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (*.f64 eps (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 eps (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64)))))))))) eps)
(* 1/2 (exp (* x (- eps 1))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(+ (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(+ (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(+ (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
1
#s(literal 1 binary64)
(+ 1 (* x (- eps 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64)))) (+.f64 eps #s(literal -1 binary64)))))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64)))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(+ (exp (* -1 x)) (* eps (* x (exp (* -1 x)))))
(*.f64 (+.f64 (*.f64 x eps) #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))
(+.f64 (*.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 eps (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 (*.f64 x eps) #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(+ (exp (* -1 x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x))))))
(+.f64 (*.f64 (*.f64 eps eps) (+.f64 (*.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 1/6 binary64))) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 (+.f64 (*.f64 x eps) #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(+ (* -1 x) (* eps x))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(+ (* -1 x) (* eps x))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(+ (* -1 x) (* eps x))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* eps x)
(*.f64 x eps)
(* eps (+ x (* -1 (/ x eps))))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(* eps (+ x (* -1 (/ x eps))))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(* eps (+ x (* -1 (/ x eps))))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(* eps x)
(*.f64 x eps)
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(+ (* -1 x) (* -1 (* eps x)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(+ (* -1 x) (* -1 (* eps x)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(+ (* -1 x) (* -1 (* eps x)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* eps x))
(-.f64 #s(literal 0 binary64) (*.f64 x eps))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(-.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 x (/.f64 x eps))))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(-.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 x (/.f64 x eps))))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(-.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 x (/.f64 x eps))))
(* -1 (* eps x))
(-.f64 #s(literal 0 binary64) (*.f64 x eps))
(* -1 (* eps (+ x (/ x eps))))
(-.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 x (/.f64 x eps))))
(* -1 (* eps (+ x (/ x eps))))
(-.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 x (/.f64 x eps))))
(* -1 (* eps (+ x (/ x eps))))
(-.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 x (/.f64 x eps))))

eval48.0ms (0.4%)

Compiler

Compiled 19520 to 1149 computations (94.1% saved)

prune44.0ms (0.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New3418349
Fresh000
Picked101
Done000
Total3428350
Accuracy
100.0%
Counts
350 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶60.6%
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
35.2%
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
31.4%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
▶37.0%
(-.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))))
77.5%
(+.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 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.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)))))))
▶62.9%
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
▶98.1%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
▶47.0%
#s(literal 1 binary64)
Compiler

Compiled 456 to 268 computations (41.2% saved)

simplify255.0ms (2%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))
✓cost-diff0
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))
✓cost-diff128
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
✓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 #s(literal 0 binary64) x)
✓cost-diff0
(exp.f64 (-.f64 #s(literal 0 binary64) x))
✓cost-diff0
(+.f64 x #s(literal 1 binary64))
✓cost-diff128
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
✓cost-diff0
(*.f64 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
2424×*-lowering-*.f32
2424×*-lowering-*.f64
2172×fma-lowering-fma.f32
2172×fma-lowering-fma.f64
1870×fmsub-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
036347
198343
2256340
3935329
44664317
08129317
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
(* (+ x 1) (exp (- 0 x)))
(+ x 1)
x
1
(exp (- 0 x))
(- 0 x)
0
(- (* (+ 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)
(- (/ 1 (/ (+ 1/2 (/ -1/2 eps)) (* (- 1/4 (/ 1/4 (* eps eps))) (exp (* x (+ eps -1)))))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(/ 1 (/ (+ 1/2 (/ -1/2 eps)) (* (- 1/4 (/ 1/4 (* eps eps))) (exp (* x (+ eps -1))))))
1
(/ (+ 1/2 (/ -1/2 eps)) (* (- 1/4 (/ 1/4 (* eps eps))) (exp (* x (+ eps -1)))))
(+ 1/2 (/ -1/2 eps))
1/2
(/ -1/2 eps)
-1/2
eps
(* (- 1/4 (/ 1/4 (* eps eps))) (exp (* x (+ eps -1))))
(- 1/4 (/ 1/4 (* eps eps)))
1/4
(/ 1/4 (* eps eps))
(* eps eps)
(exp (* x (+ eps -1)))
(* x (+ eps -1))
x
(+ eps -1)
-1
(* (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)
(* (+ x 1) (exp (- 0 x)))
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
(exp (- 0 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
(- (* (+ 1 (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(+.f64 (*.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))
(* (+ 1 (* x (+ eps -1))) (- 1/2 (/ -1/2 eps)))
(*.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(+ 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)
(- (/ 1 (/ (+ 1/2 (/ -1/2 eps)) (* (- 1/4 (/ 1/4 (* eps eps))) (exp (* x (+ eps -1)))))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(+.f64 (/.f64 (exp.f64 (*.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 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 eps eps))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))
(/ 1 (/ (+ 1/2 (/ -1/2 eps)) (* (- 1/4 (/ 1/4 (* eps eps))) (exp (* x (+ eps -1))))))
(/.f64 (exp.f64 (*.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 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 eps eps)))))
1
#s(literal 1 binary64)
(/ (+ 1/2 (/ -1/2 eps)) (* (- 1/4 (/ 1/4 (* eps eps))) (exp (* x (+ eps -1)))))
(/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 eps eps)))) (exp.f64 (*.f64 x (+.f64 eps #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)
eps
(* (- 1/4 (/ 1/4 (* eps eps))) (exp (* x (+ eps -1))))
(*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 eps eps))))
(- 1/4 (/ 1/4 (* eps eps)))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 eps eps)))
1/4
#s(literal 1/4 binary64)
(/ 1/4 (* eps eps))
(/.f64 #s(literal 1/4 binary64) (*.f64 eps eps))
(* eps eps)
(*.f64 eps 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))
-1
#s(literal -1 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)

localize490.0ms (3.8%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(/.f64 #s(literal 1/4 binary64) (*.f64 eps eps))
✓accuracy99.6%
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
✓accuracy82.8%
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
✓accuracy67.8%
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
✓accuracy100.0%
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
✓accuracy100.0%
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
✓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)))
✓accuracy69.6%
(-.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 #s(literal 0 binary64) x)
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy100.0%
(exp.f64 (-.f64 #s(literal 0 binary64) x))
✓accuracy100.0%
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
✓accuracy100.0%
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
✓accuracy100.0%
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
✓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))))
Results
232.0ms84×5exit
61.0ms38×2valid
59.0ms47×1valid
17.0ms46×0unsamplable
15.0ms41×0valid
Compiler

Compiled 356 to 37 computations (89.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 220.0ms
backward-pass: 57.0ms (25.9% of total)
ival-mult: 53.0ms (24.1% of total)
ival-div: 41.0ms (18.7% of total)
ival-add: 25.0ms (11.4% of total)
ival-sub: 21.0ms (9.6% of total)
ival-exp: 20.0ms (9.1% of total)
const: 3.0ms (1.4% of total)

series35.0ms (0.3%)

Counts
18 → 360
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 (* (+ x 1) (exp (- 0 x)))>
#<alt (+ x 1)>
#<alt (exp (- 0 x))>
#<alt (- 0 x)>
#<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 (- (/ 1 (/ (+ 1/2 (/ -1/2 eps)) (* (- 1/4 (/ 1/4 (* eps eps))) (exp (* x (+ eps -1)))))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))>
#<alt (/ 1 (/ (+ 1/2 (/ -1/2 eps)) (* (- 1/4 (/ 1/4 (* eps eps))) (exp (* x (+ eps -1))))))>
#<alt (/ (+ 1/2 (/ -1/2 eps)) (* (- 1/4 (/ 1/4 (* eps eps))) (exp (* x (+ eps -1)))))>
#<alt (+ 1/2 (/ -1/2 eps))>
#<alt (* x (- -1 eps))>
#<alt (* (- 1/4 (/ 1/4 (* eps eps))) (exp (* x (+ eps -1))))>
#<alt (/ 1/4 (* eps eps))>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))>
#<alt (+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)))))>
#<alt (+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (exp (* -1 x))>
#<alt (+ (exp (* -1 x)) (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))>
#<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)))>
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#<alt (- (+ (* 1/4 (/ 1 (- 1/2 (* 1/2 (/ 1 eps))))) (/ (* x (* (- 1/4 (* 1/4 (/ 1 (pow eps 2)))) (- eps 1))) (- 1/2 (* 1/2 (/ 1 eps))))) (/ 1/4 (* (pow eps 2) (- 1/2 (* 1/2 (/ 1 eps))))))>
#<alt (- (+ (* x (+ (* 1/2 (/ (* x (* (- 1/4 (* 1/4 (/ 1 (pow eps 2)))) (pow (- eps 1) 2))) (- 1/2 (* 1/2 (/ 1 eps))))) (/ (* (- 1/4 (* 1/4 (/ 1 (pow eps 2)))) (- eps 1)) (- 1/2 (* 1/2 (/ 1 eps)))))) (* 1/4 (/ 1 (- 1/2 (* 1/2 (/ 1 eps)))))) (/ 1/4 (* (pow eps 2) (- 1/2 (* 1/2 (/ 1 eps))))))>
#<alt (- (+ (* x (+ (* x (+ (* 1/6 (/ (* x (* (- 1/4 (* 1/4 (/ 1 (pow eps 2)))) (pow (- eps 1) 3))) (- 1/2 (* 1/2 (/ 1 eps))))) (* 1/2 (/ (* (- 1/4 (* 1/4 (/ 1 (pow eps 2)))) (pow (- eps 1) 2)) (- 1/2 (* 1/2 (/ 1 eps))))))) (/ (* (- 1/4 (* 1/4 (/ 1 (pow eps 2)))) (- eps 1)) (- 1/2 (* 1/2 (/ 1 eps)))))) (* 1/4 (/ 1 (- 1/2 (* 1/2 (/ 1 eps)))))) (/ 1/4 (* (pow eps 2) (- 1/2 (* 1/2 (/ 1 eps))))))>
#<alt (/ (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))) (- 1/2 (* 1/2 (/ 1 eps))))>
#<alt (/ (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))) (- 1/2 (* 1/2 (/ 1 eps))))>
#<alt (/ (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))) (- 1/2 (* 1/2 (/ 1 eps))))>
#<alt (/ (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))) (- 1/2 (* 1/2 (/ 1 eps))))>
#<alt (/ (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))) (- 1/2 (* 1/2 (/ 1 eps))))>
#<alt (/ (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))) (- 1/2 (* 1/2 (/ 1 eps))))>
#<alt (/ (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))) (- 1/2 (* 1/2 (/ 1 eps))))>
#<alt (/ (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))) (- 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* 2 (/ eps (exp (* -1 x))))>
#<alt (* eps (+ (* -1 (* eps (+ (* 2 (/ 1 (exp (* -1 x)))) (* 2 (/ x (exp (* -1 x))))))) (* 2 (/ 1 (exp (* -1 x))))))>
#<alt (* eps (+ (* eps (- (* -1 (* eps (+ (* -8 (/ (+ (* -1/8 (* (pow x 2) (exp (* -1 x)))) (* 1/4 (exp (* -1 x)))) (pow (exp (* -1 x)) 2))) (* -1 (* x (+ (* 2 (/ x (exp (* -1 x)))) (* 2 (/ 1 (exp (* -1 x)))))))))) (+ (* 2 (/ 1 (exp (* -1 x)))) (* 2 (/ x (exp (* -1 x))))))) (* 2 (/ 1 (exp (* -1 x))))))>
#<alt (* eps (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -8 (/ (+ (* -1/24 (* (pow x 3) (exp (* -1 x)))) (* 1/4 (* x (exp (* -1 x))))) (pow (exp (* -1 x)) 2))) (+ (* -1 (* x (+ (* -8 (/ (+ (* -1/8 (* (pow x 2) (exp (* -1 x)))) (* 1/4 (exp (* -1 x)))) (pow (exp (* -1 x)) 2))) (* -1 (* x (+ (* 2 (/ x (exp (* -1 x)))) (* 2 (/ 1 (exp (* -1 x)))))))))) (* 4 (/ (* (+ (* -1/8 (* (pow x 2) (exp (* -1 x)))) (* 1/4 (exp (* -1 x)))) (+ (* 2 (/ x (exp (* -1 x)))) (* 2 (/ 1 (exp (* -1 x)))))) (exp (* -1 x)))))))) (+ (* -8 (/ (+ (* -1/8 (* (pow x 2) (exp (* -1 x)))) (* 1/4 (exp (* -1 x)))) (pow (exp (* -1 x)) 2))) (* -1 (* x (+ (* 2 (/ x (exp (* -1 x)))) (* 2 (/ 1 (exp (* -1 x)))))))))) (+ (* 2 (/ 1 (exp (* -1 x)))) (* 2 (/ x (exp (* -1 x))))))) (* 2 (/ 1 (exp (* -1 x))))))>
#<alt (/ 2 (exp (* x (- eps 1))))>
#<alt (- (* 2 (/ 1 (exp (* x (- eps 1))))) (* 2 (/ 1 (* eps (exp (* x (- eps 1)))))))>
#<alt (- (+ (* 2 (/ 1 (exp (* x (- eps 1))))) (/ 2 (* (pow eps 2) (exp (* x (- eps 1)))))) (/ 2 (* eps (exp (* x (- eps 1))))))>
#<alt (- (+ (* 2 (/ 1 (exp (* x (- eps 1))))) (* 2 (/ 1 (* (pow eps 2) (exp (* x (- eps 1))))))) (+ (* 2 (/ 1 (* (pow eps 3) (exp (* x (- eps 1)))))) (/ 2 (* eps (exp (* x (- eps 1)))))))>
#<alt (/ 2 (exp (* -1 (* x (+ 1 (* -1 eps))))))>
#<alt (- (* 2 (/ 1 (exp (* -1 (* x (+ 1 (* -1 eps))))))) (* 2 (/ 1 (* eps (exp (* -1 (* x (+ 1 (* -1 eps)))))))))>
#<alt (+ (* -1 (/ (- (* 2 (/ 1 (exp (* -1 (* x (+ 1 (* -1 eps))))))) (* 2 (/ 1 (* eps (exp (* -1 (* x (+ 1 (* -1 eps))))))))) eps)) (* 2 (/ 1 (exp (* -1 (* x (+ 1 (* -1 eps))))))))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (- (* 2 (/ 1 (exp (* -1 (* x (+ 1 (* -1 eps))))))) (* 2 (/ 1 (* eps (exp (* -1 (* x (+ 1 (* -1 eps))))))))) eps)) (* 2 (/ 1 (exp (* -1 (* x (+ 1 (* -1 eps)))))))) eps)) (* 2 (/ 1 (exp (* -1 (* x (+ 1 (* -1 eps))))))))>
#<alt (/ (- 1/2 (* 1/2 (/ 1 eps))) (- 1/4 (* 1/4 (/ 1 (pow eps 2)))))>
#<alt (- (+ (* -1 (/ (* x (* (- 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2)))))) (* 1/2 (/ 1 (- 1/4 (* 1/4 (/ 1 (pow eps 2))))))) (/ 1/2 (* eps (- 1/4 (* 1/4 (/ 1 (pow eps 2)))))))>
#<alt (- (+ (* x (- (* -1 (* x (+ (* -1 (/ (* (- 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)) (- 1/4 (* 1/4 (/ 1 (pow eps 2)))))) (* 1/2 (/ (* (- 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))))))) (/ (* (- 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))))) (* 1/2 (/ 1 (- 1/4 (* 1/4 (/ 1 (pow eps 2))))))) (/ 1/2 (* eps (- 1/4 (* 1/4 (/ 1 (pow eps 2)))))))>
#<alt (- (+ (* x (- (* x (- (* -1 (* x (+ (* -1 (* (+ (* -1 (/ (* (- 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)) (- 1/4 (* 1/4 (/ 1 (pow eps 2)))))) (* 1/2 (/ (* (- 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))))) (- eps 1))) (+ (* -1/2 (/ (* (- 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (- 1/4 (* 1/4 (/ 1 (pow eps 2)))))) (* 1/6 (/ (* (- 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (- 1/4 (* 1/4 (/ 1 (pow eps 2)))))))))) (+ (* -1 (/ (* (- 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)) (- 1/4 (* 1/4 (/ 1 (pow eps 2)))))) (* 1/2 (/ (* (- 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))))))) (/ (* (- 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))))) (* 1/2 (/ 1 (- 1/4 (* 1/4 (/ 1 (pow eps 2))))))) (/ 1/2 (* eps (- 1/4 (* 1/4 (/ 1 (pow eps 2)))))))>
#<alt (/ (- 1/2 (* 1/2 (/ 1 eps))) (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))))>
#<alt (/ (- 1/2 (* 1/2 (/ 1 eps))) (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))))>
#<alt (/ (- 1/2 (* 1/2 (/ 1 eps))) (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))))>
#<alt (/ (- 1/2 (* 1/2 (/ 1 eps))) (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))))>
#<alt (/ (- 1/2 (* 1/2 (/ 1 eps))) (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))))>
#<alt (/ (- 1/2 (* 1/2 (/ 1 eps))) (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))))>
#<alt (/ (- 1/2 (* 1/2 (/ 1 eps))) (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))))>
#<alt (/ (- 1/2 (* 1/2 (/ 1 eps))) (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))))>
#<alt (/ -1/2 eps)>
#<alt (/ (- (* 1/2 eps) 1/2) eps)>
#<alt (/ (- (* 1/2 eps) 1/2) eps)>
#<alt (/ (- (* 1/2 eps) 1/2) eps)>
#<alt 1/2>
#<alt (- 1/2 (* 1/2 (/ 1 eps)))>
#<alt (- 1/2 (* 1/2 (/ 1 eps)))>
#<alt (- 1/2 (* 1/2 (/ 1 eps)))>
#<alt 1/2>
#<alt (- 1/2 (* 1/2 (/ 1 eps)))>
#<alt (- 1/2 (* 1/2 (/ 1 eps)))>
#<alt (- 1/2 (* 1/2 (/ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (* -1 (* eps x))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* -1 (* eps x))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<alt (* -1/4 (/ (exp (* -1 x)) (pow eps 2)))>
#<alt (/ (+ (* -1/4 (exp (* -1 x))) (* -1/4 (* eps (* x (exp (* -1 x)))))) (pow eps 2))>
#<alt (/ (+ (* -1/4 (exp (* -1 x))) (* eps (+ (* -1/4 (* x (exp (* -1 x)))) (* eps (+ (* -1/8 (* (pow x 2) (exp (* -1 x)))) (* 1/4 (exp (* -1 x)))))))) (pow eps 2))>
#<alt (/ (+ (* -1/4 (exp (* -1 x))) (* eps (+ (* -1/4 (* x (exp (* -1 x)))) (* eps (+ (* -1/8 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/4 (exp (* -1 x))) (* eps (+ (* -1/24 (* (pow x 3) (exp (* -1 x)))) (* 1/4 (* x (exp (* -1 x)))))))))))) (pow eps 2))>
#<alt (* 1/4 (exp (* x (- eps 1))))>
#<alt (+ (* -1/4 (/ (exp (* x (- eps 1))) (pow eps 2))) (* 1/4 (exp (* x (- eps 1)))))>
#<alt (+ (* -1/4 (/ (exp (* x (- eps 1))) (pow eps 2))) (* 1/4 (exp (* x (- eps 1)))))>
#<alt (+ (* -1/4 (/ (exp (* x (- eps 1))) (pow eps 2))) (* 1/4 (exp (* x (- eps 1)))))>
#<alt (* 1/4 (exp (* -1 (* x (+ 1 (* -1 eps))))))>
#<alt (+ (* -1/4 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) (pow eps 2))) (* 1/4 (exp (* -1 (* x (+ 1 (* -1 eps)))))))>
#<alt (+ (* -1/4 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) (pow eps 2))) (* 1/4 (exp (* -1 (* x (+ 1 (* -1 eps)))))))>
#<alt (+ (* -1/4 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) (pow eps 2))) (* 1/4 (exp (* -1 (* x (+ 1 (* -1 eps)))))))>
#<alt (- 1/4 (* 1/4 (/ 1 (pow eps 2))))>
#<alt (- (+ 1/4 (* x (* (- 1/4 (* 1/4 (/ 1 (pow eps 2)))) (- eps 1)))) (* 1/4 (/ 1 (pow eps 2))))>
#<alt (- (+ 1/4 (* x (+ (* 1/2 (* x (* (- 1/4 (* 1/4 (/ 1 (pow eps 2)))) (pow (- eps 1) 2)))) (* (- 1/4 (* 1/4 (/ 1 (pow eps 2)))) (- eps 1))))) (* 1/4 (/ 1 (pow eps 2))))>
#<alt (- (+ 1/4 (* x (+ (* x (+ (* 1/6 (* x (* (- 1/4 (* 1/4 (/ 1 (pow eps 2)))) (pow (- eps 1) 3)))) (* 1/2 (* (- 1/4 (* 1/4 (/ 1 (pow eps 2)))) (pow (- eps 1) 2))))) (* (- 1/4 (* 1/4 (/ 1 (pow eps 2)))) (- eps 1))))) (* 1/4 (/ 1 (pow eps 2))))>
#<alt (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2)))))>
#<alt (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2)))))>
#<alt (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2)))))>
#<alt (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2)))))>
#<alt (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2)))))>
#<alt (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2)))))>
#<alt (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2)))))>
#<alt (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (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 (/ 1/4 (pow eps 2))>
Calls

90 calls:

TimeVariablePointExpression
4.0ms
x
@0
(- (/ 1 (/ (+ 1/2 (/ -1/2 eps)) (* (- 1/4 (/ 1/4 (* eps eps))) (exp (* x (+ eps -1)))))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
2.0ms
x
@0
(* (+ 1 (* x (+ eps -1))) (- 1/2 (/ -1/2 eps)))
2.0ms
x
@inf
(- (/ 1 (/ (+ 1/2 (/ -1/2 eps)) (* (- 1/4 (/ 1/4 (* eps eps))) (exp (* x (+ eps -1)))))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
2.0ms
eps
@0
(- (/ 1 (/ (+ 1/2 (/ -1/2 eps)) (* (- 1/4 (/ 1/4 (* eps eps))) (exp (* x (+ eps -1)))))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
1.0ms
eps
@-inf
(- (/ 1 (/ (+ 1/2 (/ -1/2 eps)) (* (- 1/4 (/ 1/4 (* eps eps))) (exp (* x (+ eps -1)))))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))

rewrite372.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
2366×*-lowering-*.f32
2366×*-lowering-*.f64
2346×fma-lowering-fma.f32
2346×fma-lowering-fma.f64
1940×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036203
1269174
22587172
08512172
Stop Event
1×iter limit
1×node limit
Counts
18 → 486
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))
(* (+ x 1) (exp (- 0 x)))
(+ x 1)
(exp (- 0 x))
(- 0 x)
(- (* (+ 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 (/ (+ 1/2 (/ -1/2 eps)) (* (- 1/4 (/ 1/4 (* eps eps))) (exp (* x (+ eps -1)))))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(/ 1 (/ (+ 1/2 (/ -1/2 eps)) (* (- 1/4 (/ 1/4 (* eps eps))) (exp (* x (+ eps -1))))))
(/ (+ 1/2 (/ -1/2 eps)) (* (- 1/4 (/ 1/4 (* eps eps))) (exp (* x (+ eps -1)))))
(+ 1/2 (/ -1/2 eps))
(* x (- -1 eps))
(* (- 1/4 (/ 1/4 (* eps eps))) (exp (* x (+ eps -1))))
(/ 1/4 (* eps eps))
Outputs
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(fma.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(/.f64 (+.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 3 binary64)))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 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 (*.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 x (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 3 binary64)))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (-.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 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 3 binary64)))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (*.f64 x (+.f64 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)))))
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(*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/4 binary64) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)))
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(*.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1/4 binary64) eps))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal 1/4 binary64))
(*.f64 (/.f64 #s(literal 1/4 binary64) eps) (/.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 (/.f64 #s(literal -1/2 binary64) eps) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) eps))

simplify463.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
5664×*-lowering-*.f32
5664×*-lowering-*.f64
4706×+-lowering-+.f64
4706×+-lowering-+.f32
1108×--lowering--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07016349
125325774
087715774
Stop Event
1×iter limit
1×node limit
Counts
360 → 360
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)))))
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(- (/ (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))) (- 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(- (/ (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))) (- 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(- (/ (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))) (- 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(- (/ (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))) (- 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(- (/ (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))) (- 1/2 (* 1/2 (/ 1 eps)))) (* (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 (* x (exp (* -1 x)))) (* -1/2 (exp (* -1 x)))))) eps)
(/ (+ (* 1/2 (exp (* -1 x))) (* eps (- (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (- (* -2 (+ (* -1/8 (* (pow x 2) (exp (* -1 x)))) (* 1/4 (exp (* -1 x))))) (* -1 (- (* 1/2 (* x (exp (* -1 x)))) (* -1/2 (exp (* -1 x)))))))) (* -1/2 (exp (* -1 x)))))) eps)
(/ (+ (* 1/2 (exp (* -1 x))) (* eps (- (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (- (+ (* -2 (+ (* -1/8 (* (pow x 2) (exp (* -1 x)))) (* 1/4 (exp (* -1 x))))) (* eps (- (* -2 (+ (* -1/24 (* (pow x 3) (exp (* -1 x)))) (* 1/4 (* x (exp (* -1 x)))))) (* -1 (- (* -2 (+ (* -1/8 (* (pow x 2) (exp (* -1 x)))) (* 1/4 (exp (* -1 x))))) (* -1 (- (* 1/2 (* x (exp (* -1 x)))) (* -1/2 (exp (* -1 x)))))))))) (* -1 (- (* 1/2 (* x (exp (* -1 x)))) (* -1/2 (exp (* -1 x)))))))) (* -1/2 (exp (* -1 x)))))) eps)
(* 1/2 (exp (* x (- eps 1))))
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(+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps)))
(+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps)))
(* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))
(+ (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps)))
(+ (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps)))
(+ (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps)))
(/ (- 1/4 (* 1/4 (/ 1 (pow eps 2)))) (- 1/2 (* 1/2 (/ 1 eps))))
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(- (+ (* x (+ (* x (+ (* 1/6 (/ (* x (* (- 1/4 (* 1/4 (/ 1 (pow eps 2)))) (pow (- eps 1) 3))) (- 1/2 (* 1/2 (/ 1 eps))))) (* 1/2 (/ (* (- 1/4 (* 1/4 (/ 1 (pow eps 2)))) (pow (- eps 1) 2)) (- 1/2 (* 1/2 (/ 1 eps))))))) (/ (* (- 1/4 (* 1/4 (/ 1 (pow eps 2)))) (- eps 1)) (- 1/2 (* 1/2 (/ 1 eps)))))) (* 1/4 (/ 1 (- 1/2 (* 1/2 (/ 1 eps)))))) (/ 1/4 (* (pow eps 2) (- 1/2 (* 1/2 (/ 1 eps))))))
(/ (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))) (- 1/2 (* 1/2 (/ 1 eps))))
(/ (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))) (- 1/2 (* 1/2 (/ 1 eps))))
(/ (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))) (- 1/2 (* 1/2 (/ 1 eps))))
(/ (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))) (- 1/2 (* 1/2 (/ 1 eps))))
(/ (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))) (- 1/2 (* 1/2 (/ 1 eps))))
(/ (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))) (- 1/2 (* 1/2 (/ 1 eps))))
(/ (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))) (- 1/2 (* 1/2 (/ 1 eps))))
(/ (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))) (- 1/2 (* 1/2 (/ 1 eps))))
(* 2 (/ eps (exp (* -1 x))))
(* eps (+ (* -1 (* eps (+ (* 2 (/ 1 (exp (* -1 x)))) (* 2 (/ x (exp (* -1 x))))))) (* 2 (/ 1 (exp (* -1 x))))))
(* eps (+ (* eps (- (* -1 (* eps (+ (* -8 (/ (+ (* -1/8 (* (pow x 2) (exp (* -1 x)))) (* 1/4 (exp (* -1 x)))) (pow (exp (* -1 x)) 2))) (* -1 (* x (+ (* 2 (/ x (exp (* -1 x)))) (* 2 (/ 1 (exp (* -1 x)))))))))) (+ (* 2 (/ 1 (exp (* -1 x)))) (* 2 (/ x (exp (* -1 x))))))) (* 2 (/ 1 (exp (* -1 x))))))
(* eps (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -8 (/ (+ (* -1/24 (* (pow x 3) (exp (* -1 x)))) (* 1/4 (* x (exp (* -1 x))))) (pow (exp (* -1 x)) 2))) (+ (* -1 (* x (+ (* -8 (/ (+ (* -1/8 (* (pow x 2) (exp (* -1 x)))) (* 1/4 (exp (* -1 x)))) (pow (exp (* -1 x)) 2))) (* -1 (* x (+ (* 2 (/ x (exp (* -1 x)))) (* 2 (/ 1 (exp (* -1 x)))))))))) (* 4 (/ (* (+ (* -1/8 (* (pow x 2) (exp (* -1 x)))) (* 1/4 (exp (* -1 x)))) (+ (* 2 (/ x (exp (* -1 x)))) (* 2 (/ 1 (exp (* -1 x)))))) (exp (* -1 x)))))))) (+ (* -8 (/ (+ (* -1/8 (* (pow x 2) (exp (* -1 x)))) (* 1/4 (exp (* -1 x)))) (pow (exp (* -1 x)) 2))) (* -1 (* x (+ (* 2 (/ x (exp (* -1 x)))) (* 2 (/ 1 (exp (* -1 x)))))))))) (+ (* 2 (/ 1 (exp (* -1 x)))) (* 2 (/ x (exp (* -1 x))))))) (* 2 (/ 1 (exp (* -1 x))))))
(/ 2 (exp (* x (- eps 1))))
(- (* 2 (/ 1 (exp (* x (- eps 1))))) (* 2 (/ 1 (* eps (exp (* x (- eps 1)))))))
(- (+ (* 2 (/ 1 (exp (* x (- eps 1))))) (/ 2 (* (pow eps 2) (exp (* x (- eps 1)))))) (/ 2 (* eps (exp (* x (- eps 1))))))
(- (+ (* 2 (/ 1 (exp (* x (- eps 1))))) (* 2 (/ 1 (* (pow eps 2) (exp (* x (- eps 1))))))) (+ (* 2 (/ 1 (* (pow eps 3) (exp (* x (- eps 1)))))) (/ 2 (* eps (exp (* x (- eps 1)))))))
(/ 2 (exp (* -1 (* x (+ 1 (* -1 eps))))))
(- (* 2 (/ 1 (exp (* -1 (* x (+ 1 (* -1 eps))))))) (* 2 (/ 1 (* eps (exp (* -1 (* x (+ 1 (* -1 eps)))))))))
(+ (* -1 (/ (- (* 2 (/ 1 (exp (* -1 (* x (+ 1 (* -1 eps))))))) (* 2 (/ 1 (* eps (exp (* -1 (* x (+ 1 (* -1 eps))))))))) eps)) (* 2 (/ 1 (exp (* -1 (* x (+ 1 (* -1 eps))))))))
(+ (* -1 (/ (+ (* -1 (/ (- (* 2 (/ 1 (exp (* -1 (* x (+ 1 (* -1 eps))))))) (* 2 (/ 1 (* eps (exp (* -1 (* x (+ 1 (* -1 eps))))))))) eps)) (* 2 (/ 1 (exp (* -1 (* x (+ 1 (* -1 eps)))))))) eps)) (* 2 (/ 1 (exp (* -1 (* x (+ 1 (* -1 eps))))))))
(/ (- 1/2 (* 1/2 (/ 1 eps))) (- 1/4 (* 1/4 (/ 1 (pow eps 2)))))
(- (+ (* -1 (/ (* x (* (- 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2)))))) (* 1/2 (/ 1 (- 1/4 (* 1/4 (/ 1 (pow eps 2))))))) (/ 1/2 (* eps (- 1/4 (* 1/4 (/ 1 (pow eps 2)))))))
(- (+ (* x (- (* -1 (* x (+ (* -1 (/ (* (- 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)) (- 1/4 (* 1/4 (/ 1 (pow eps 2)))))) (* 1/2 (/ (* (- 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))))))) (/ (* (- 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))))) (* 1/2 (/ 1 (- 1/4 (* 1/4 (/ 1 (pow eps 2))))))) (/ 1/2 (* eps (- 1/4 (* 1/4 (/ 1 (pow eps 2)))))))
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(/ (- 1/2 (* 1/2 (/ 1 eps))) (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))))
(/ (- 1/2 (* 1/2 (/ 1 eps))) (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))))
(/ (- 1/2 (* 1/2 (/ 1 eps))) (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))))
(/ (- 1/2 (* 1/2 (/ 1 eps))) (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))))
(/ (- 1/2 (* 1/2 (/ 1 eps))) (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))))
(/ (- 1/2 (* 1/2 (/ 1 eps))) (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))))
(/ (- 1/2 (* 1/2 (/ 1 eps))) (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))))
(/ (- 1/2 (* 1/2 (/ 1 eps))) (* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2))))))
(/ -1/2 eps)
(/ (- (* 1/2 eps) 1/2) eps)
(/ (- (* 1/2 eps) 1/2) eps)
(/ (- (* 1/2 eps) 1/2) eps)
1/2
(- 1/2 (* 1/2 (/ 1 eps)))
(- 1/2 (* 1/2 (/ 1 eps)))
(- 1/2 (* 1/2 (/ 1 eps)))
1/2
(- 1/2 (* 1/2 (/ 1 eps)))
(- 1/2 (* 1/2 (/ 1 eps)))
(- 1/2 (* 1/2 (/ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 x)
(+ (* -1 x) (* -1 (* eps x)))
(+ (* -1 x) (* -1 (* eps x)))
(+ (* -1 x) (* -1 (* eps x)))
(* -1 (* eps x))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* -1 (* eps x))
(* -1 (* eps (+ x (/ x eps))))
(* -1 (* eps (+ x (/ x eps))))
(* -1 (* eps (+ x (/ x eps))))
(* -1/4 (/ (exp (* -1 x)) (pow eps 2)))
(/ (+ (* -1/4 (exp (* -1 x))) (* -1/4 (* eps (* x (exp (* -1 x)))))) (pow eps 2))
(/ (+ (* -1/4 (exp (* -1 x))) (* eps (+ (* -1/4 (* x (exp (* -1 x)))) (* eps (+ (* -1/8 (* (pow x 2) (exp (* -1 x)))) (* 1/4 (exp (* -1 x)))))))) (pow eps 2))
(/ (+ (* -1/4 (exp (* -1 x))) (* eps (+ (* -1/4 (* x (exp (* -1 x)))) (* eps (+ (* -1/8 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/4 (exp (* -1 x))) (* eps (+ (* -1/24 (* (pow x 3) (exp (* -1 x)))) (* 1/4 (* x (exp (* -1 x)))))))))))) (pow eps 2))
(* 1/4 (exp (* x (- eps 1))))
(+ (* -1/4 (/ (exp (* x (- eps 1))) (pow eps 2))) (* 1/4 (exp (* x (- eps 1)))))
(+ (* -1/4 (/ (exp (* x (- eps 1))) (pow eps 2))) (* 1/4 (exp (* x (- eps 1)))))
(+ (* -1/4 (/ (exp (* x (- eps 1))) (pow eps 2))) (* 1/4 (exp (* x (- eps 1)))))
(* 1/4 (exp (* -1 (* x (+ 1 (* -1 eps))))))
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(+ (* -1/4 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) (pow eps 2))) (* 1/4 (exp (* -1 (* x (+ 1 (* -1 eps)))))))
(- 1/4 (* 1/4 (/ 1 (pow eps 2))))
(- (+ 1/4 (* x (* (- 1/4 (* 1/4 (/ 1 (pow eps 2)))) (- eps 1)))) (* 1/4 (/ 1 (pow eps 2))))
(- (+ 1/4 (* x (+ (* 1/2 (* x (* (- 1/4 (* 1/4 (/ 1 (pow eps 2)))) (pow (- eps 1) 2)))) (* (- 1/4 (* 1/4 (/ 1 (pow eps 2)))) (- eps 1))))) (* 1/4 (/ 1 (pow eps 2))))
(- (+ 1/4 (* x (+ (* x (+ (* 1/6 (* x (* (- 1/4 (* 1/4 (/ 1 (pow eps 2)))) (pow (- eps 1) 3)))) (* 1/2 (* (- 1/4 (* 1/4 (/ 1 (pow eps 2)))) (pow (- eps 1) 2))))) (* (- 1/4 (* 1/4 (/ 1 (pow eps 2)))) (- eps 1))))) (* 1/4 (/ 1 (pow eps 2))))
(* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2)))))
(* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2)))))
(* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2)))))
(* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2)))))
(* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2)))))
(* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2)))))
(* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2)))))
(* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2)))))
(/ 1/4 (pow eps 2))
(/ 1/4 (pow eps 2))
(/ 1/4 (pow eps 2))
(/ 1/4 (pow eps 2))
(/ 1/4 (pow eps 2))
(/ 1/4 (pow eps 2))
(/ 1/4 (pow eps 2))
(/ 1/4 (pow eps 2))
(/ 1/4 (pow eps 2))
(/ 1/4 (pow eps 2))
(/ 1/4 (pow eps 2))
(/ 1/4 (pow eps 2))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))))
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(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (-.f64 eps (+.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)))))))))
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(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
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(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
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(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
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(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
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(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
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(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 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 #s(literal 0 binary64) (*.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 x x)) (*.f64 #s(literal 1/2 binary64) eps)))))
(+ (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 #s(literal 1/2 binary64) (*.f64 eps (+.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)))))
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(* 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))))))
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(- (+ 1/4 (* x (+ (* 1/2 (* x (* (- 1/4 (* 1/4 (/ 1 (pow eps 2)))) (pow (- eps 1) 2)))) (* (- 1/4 (* 1/4 (/ 1 (pow eps 2)))) (- eps 1))))) (* 1/4 (/ 1 (pow eps 2))))
(+.f64 (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 eps eps)))) (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 eps eps)))))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 eps eps))))
(- (+ 1/4 (* x (+ (* x (+ (* 1/6 (* x (* (- 1/4 (* 1/4 (/ 1 (pow eps 2)))) (pow (- eps 1) 3)))) (* 1/2 (* (- 1/4 (* 1/4 (/ 1 (pow eps 2)))) (pow (- eps 1) 2))))) (* (- 1/4 (* 1/4 (/ 1 (pow eps 2)))) (- eps 1))))) (* 1/4 (/ 1 (pow eps 2))))
(+.f64 (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 eps eps)))) (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 eps eps)))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 eps eps)))))))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 eps eps))))
(* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2)))))
(*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 eps eps))))
(* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2)))))
(*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 eps eps))))
(* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2)))))
(*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 eps eps))))
(* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2)))))
(*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 eps eps))))
(* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2)))))
(*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 eps eps))))
(* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2)))))
(*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 eps eps))))
(* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2)))))
(*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 eps eps))))
(* (exp (* x (- eps 1))) (- 1/4 (* 1/4 (/ 1 (pow eps 2)))))
(*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 eps eps))))
(/ 1/4 (pow eps 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 eps eps))
(/ 1/4 (pow eps 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 eps eps))
(/ 1/4 (pow eps 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 eps eps))
(/ 1/4 (pow eps 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 eps eps))
(/ 1/4 (pow eps 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 eps eps))
(/ 1/4 (pow eps 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 eps eps))
(/ 1/4 (pow eps 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 eps eps))
(/ 1/4 (pow eps 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 eps eps))
(/ 1/4 (pow eps 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 eps eps))
(/ 1/4 (pow eps 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 eps eps))
(/ 1/4 (pow eps 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 eps eps))
(/ 1/4 (pow eps 2))
(/.f64 #s(literal 1/4 binary64) (*.f64 eps eps))

eval145.0ms (1.1%)

Compiler

Compiled 36138 to 2902 computations (92% saved)

prune164.0ms (1.3%)

Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New1065221087
Fresh213
Picked415
Done000
Total1071241095
Accuracy
100.0%
Counts
1095 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.9%
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
65.5%
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
36.9%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 eps eps))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (+.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 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
18.2%
(-.f64 (*.f64 (+.f64 #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 #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))))
31.4%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
46.2%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))) #s(literal -1/2 binary64))))
56.1%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))
▶77.1%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))))
69.9%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.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 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 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
51.8%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))) (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (+.f64 (*.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 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
46.1%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
46.6%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))))
17.5%
(+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (/.f64 #s(literal 1/2 binary64) eps)))
46.1%
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
46.1%
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))
▶56.0%
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))))
46.7%
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
58.9%
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) #s(literal -1 binary64))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
66.5%
(*.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)))))
▶64.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
▶10.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
75.0%
(exp.f64 (-.f64 #s(literal 0 binary64) x))
✓47.0%
#s(literal 1 binary64)
Compiler

Compiled 1113 to 673 computations (39.5% saved)

simplify222.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
✓cost-diff0
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
✓cost-diff384
(+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64))
✓cost-diff640
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))
✓cost-diff768
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64))))
✓cost-diff768
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))))
✓cost-diff0
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))))
✓cost-diff0
(+.f64 x #s(literal 1 binary64))
✓cost-diff0
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #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
2958×+-lowering-+.f64
2958×+-lowering-+.f32
2850×*-lowering-*.f32
2850×*-lowering-*.f64
1860×fma-lowering-fma.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
032290
1122279
2547260
32931245
46879225
08360225
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
(* (+ x 1) (+ 1 (* x (+ (* 1/2 x) -1))))
(+ x 1)
x
1
(+ 1 (* x (+ (* 1/2 x) -1)))
(* x (+ (* 1/2 x) -1))
(+ (* 1/2 x) -1)
(* 1/2 x)
1/2
-1
(+ 1 (* (* 1/2 x) (+ (* (* 1/2 x) (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (+ (- eps (+ 1 eps)) -1))))
1
(* (* 1/2 x) (+ (* (* 1/2 x) (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (+ (- eps (+ 1 eps)) -1)))
(* 1/2 x)
1/2
x
(+ (* (* 1/2 x) (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (+ (- eps (+ 1 eps)) -1))
(* (* 1/2 x) (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1))))
(+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))
(* (+ 1 eps) (+ 1 eps))
(+ 1 eps)
eps
(* (+ eps -1) (+ eps -1))
(+ eps -1)
-1
(+ (- eps (+ 1 eps)) -1)
(- eps (+ 1 eps))
(* 1/2 (+ 1 (exp (* x (- -1 eps)))))
1/2
(+ 1 (exp (* x (- -1 eps))))
1
(exp (* x (- -1 eps)))
(* x (- -1 eps))
x
(- -1 eps)
-1
eps
Outputs
(* 1/2 (+ (exp (* x eps)) (exp (* x (- -1 eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
1/2
#s(literal 1/2 binary64)
(+ (exp (* x eps)) (exp (* x (- -1 eps))))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(exp (* x eps))
(exp.f64 (*.f64 x eps))
(* x eps)
(*.f64 x eps)
x
eps
(exp (* x (- -1 eps)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(* x (- -1 eps))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
-1
#s(literal -1 binary64)
(* 1/2 (* x eps))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
1/2
#s(literal 1/2 binary64)
(* x eps)
(*.f64 x eps)
x
eps
(* (+ x 1) (+ 1 (* x (+ (* 1/2 x) -1))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)))))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
(+ 1 (* x (+ (* 1/2 x) -1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))
(* x (+ (* 1/2 x) -1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
(+ (* 1/2 x) -1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
-1
#s(literal -1 binary64)
(+ 1 (* (* 1/2 x) (+ (* (* 1/2 x) (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (+ (- eps (+ 1 eps)) -1))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 eps (+.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 x #s(literal 1/4 binary64))))))
1
#s(literal 1 binary64)
(* (* 1/2 x) (+ (* (* 1/2 x) (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (+ (- eps (+ 1 eps)) -1)))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) (*.f64 eps (+.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 x #s(literal 1/4 binary64)))))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
1/2
#s(literal 1/2 binary64)
x
(+ (* (* 1/2 x) (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (+ (- eps (+ 1 eps)) -1))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 2 binary64) (*.f64 eps (+.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -2 binary64))
(* (* 1/2 x) (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1))))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 2 binary64) (*.f64 eps (+.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal -1 binary64))))))
(+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))
(+.f64 #s(literal 2 binary64) (*.f64 eps (+.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal -1 binary64)))))
(* (+ 1 eps) (+ 1 eps))
(+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal 2 binary64))))
(+ 1 eps)
(+.f64 eps #s(literal 1 binary64))
eps
(* (+ eps -1) (+ eps -1))
(+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -2 binary64))))
(+ eps -1)
(+.f64 eps #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(+ (- eps (+ 1 eps)) -1)
#s(literal -2 binary64)
(- eps (+ 1 eps))
#s(literal -1 binary64)
(* 1/2 (+ 1 (exp (* x (- -1 eps)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
1/2
#s(literal 1/2 binary64)
(+ 1 (exp (* x (- -1 eps))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64))
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))
x
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
-1
#s(literal -1 binary64)
eps

localize288.0ms (2.2%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
✓accuracy100.0%
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
✓accuracy100.0%
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
✓accuracy100.0%
(*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
✓accuracy97.4%
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64))))
✓accuracy94.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))
✓accuracy53.1%
(-.f64 eps (+.f64 #s(literal 1 binary64) eps))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) x)
✓accuracy100.0%
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))
✓accuracy99.9%
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #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 x (-.f64 #s(literal -1 binary64) eps))
✓accuracy100.0%
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
Results
110.0ms119×1valid
109.0ms137×0valid
Compiler

Compiled 309 to 33 computations (89.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 102.0ms
ival-mult: 44.0ms (43.1% of total)
backward-pass: 24.0ms (23.5% of total)
ival-add: 24.0ms (23.5% of total)
ival-exp: 6.0ms (5.9% of total)
ival-sub: 4.0ms (3.9% of total)
const: 1.0ms (1% of total)

series42.0ms (0.3%)

Counts
21 → 408
Calls
Call 1
Inputs
#<alt (* 1/2 (+ (exp (* x eps)) (exp (* x (- -1 eps)))))>
#<alt (+ (exp (* x eps)) (exp (* x (- -1 eps))))>
#<alt (exp (* x eps))>
#<alt (* x eps)>
#<alt (* 1/2 (* x eps))>
#<alt (* (+ x 1) (+ 1 (* x (+ (* 1/2 x) -1))))>
#<alt (+ x 1)>
#<alt (+ 1 (* x (+ (* 1/2 x) -1)))>
#<alt (* x (+ (* 1/2 x) -1))>
#<alt (+ 1 (* (* 1/2 x) (+ (* (* 1/2 x) (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (+ (- eps (+ 1 eps)) -1))))>
#<alt (* (* 1/2 x) (+ (* (* 1/2 x) (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (+ (- eps (+ 1 eps)) -1)))>
#<alt (+ (* (* 1/2 x) (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (+ (- eps (+ 1 eps)) -1))>
#<alt (+ (- eps (+ 1 eps)) -1)>
#<alt (* 1/2 (+ 1 (exp (* x (- -1 eps)))))>
#<alt (+ 1 (exp (* x (- -1 eps))))>
#<alt (exp (* x (- -1 eps)))>
#<alt (* x (- -1 eps))>
#<alt (* 1/2 x)>
#<alt (- eps (+ 1 eps))>
#<alt (* (* 1/2 x) (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1))))>
#<alt (* (+ 1 eps) (+ 1 eps))>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (+ eps (* -1 (+ 1 eps))))))>
#<alt (+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))) (* 1/2 (+ eps (* -1 (+ 1 eps)))))))>
#<alt (+ 1 (* x (+ (* 1/2 (+ eps (* -1 (+ 1 eps)))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3))))) (* 1/2 (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2)))))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ 1 (exp (* -1 x))))>
#<alt (+ (* 1/2 (* eps (+ x (* -1 (* x (exp (* -1 x))))))) (* 1/2 (+ 1 (exp (* -1 x)))))>
#<alt (+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2))))) (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))))))>
#<alt (+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2)))))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))>
#<alt 2>
#<alt (+ 2 (* x (+ eps (* -1 (+ 1 eps)))))>
#<alt (+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))))))>
#<alt (+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (+ (* 1/2 (pow (+ 1 eps) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3)))))))))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ 1 (exp (* -1 x)))>
#<alt (+ 1 (+ (exp (* -1 x)) (* eps (+ x (* -1 (* x (exp (* -1 x))))))))>
#<alt (+ 1 (+ (exp (* -1 x)) (* eps (+ x (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2)))))))))>
#<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 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/2 x) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/2 x) 1/2)))>
#<alt (* 1/2 (pow x 3))>
#<alt (* (pow x 3) (- 1/2 (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/2 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))))>
#<alt (* (pow x 3) (- (+ 1/2 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))))>
#<alt (* 1/2 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (pow x 2)) 1/2) x)) 1/2)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (pow x 2)) 1/2) x)) 1/2)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))>
#<alt (* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* x (- (* 1/2 x) 1))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt (* (pow x 2) (- 1/2 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/4 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)))) 1)))>
#<alt (+ 1 (* x (- (* 1/4 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)))) 1)))>
#<alt (* 1/4 (* (pow x 2) (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))))>
#<alt (* (pow x 2) (- (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (/ 1 x)))>
#<alt (* (pow x 2) (- (+ (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (* (pow x 2) (- (+ (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (/ 1 (pow x 2))) (/ 1 x)))>
#<alt (* 1/4 (* (pow x 2) (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))))>
#<alt (* (pow x 2) (- (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (/ 1 x)))>
#<alt (* (pow x 2) (+ (* -1 (/ (- 1 (/ 1 x)) x)) (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- 1 (/ 1 x)) x)) (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)))))>
#<alt (+ 1 (* 1/2 (* x (- x 2))))>
#<alt (+ 1 (+ (* 1/2 (* x (- x 2))) (* 1/2 (* (pow eps 2) (pow x 2)))))>
#<alt (+ 1 (+ (* 1/2 (* x (- x 2))) (* 1/2 (* (pow eps 2) (pow x 2)))))>
#<alt (+ 1 (+ (* 1/2 (* x (- x 2))) (* 1/2 (* (pow eps 2) (pow x 2)))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ (* x (- x 2)) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ (* x (- x 2)) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ (* x (- x 2)) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ (* x (- x 2)) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ (* x (- x 2)) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ (* x (- x 2)) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))>
#<alt (* -1 x)>
#<alt (* x (- (* 1/4 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)))) 1))>
#<alt (* x (- (* 1/4 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)))) 1))>
#<alt (* x (- (* 1/4 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)))) 1))>
#<alt (* 1/4 (* (pow x 2) (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))))>
#<alt (* (pow x 2) (- (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (/ 1 x)))>
#<alt (* (pow x 2) (- (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (/ 1 x)))>
#<alt (* (pow x 2) (- (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (/ 1 x)))>
#<alt (* 1/4 (* (pow x 2) (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))))>
#<alt (* (pow x 2) (- (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (/ 1 x)))>
#<alt (* (pow x 2) (- (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (/ 1 x)))>
#<alt (* (pow x 2) (- (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (/ 1 x)))>
#<alt (* 1/2 (* x (- x 2)))>
#<alt (+ (* 1/2 (* x (- x 2))) (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (+ (* 1/2 (* x (- x 2))) (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (+ (* 1/2 (* x (- x 2))) (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ (* x (- x 2)) (pow eps 2))) (* 1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ (* x (- x 2)) (pow eps 2))) (* 1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ (* x (- x 2)) (pow eps 2))) (* 1/2 (pow x 2))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ (* x (- x 2)) (pow eps 2))) (* 1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ (* x (- x 2)) (pow eps 2))) (* 1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ (* x (- x 2)) (pow eps 2))) (* 1/2 (pow x 2))))>
#<alt -2>
#<alt (- (* 1/2 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)))) 2)>
#<alt (- (* 1/2 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)))) 2)>
#<alt (- (* 1/2 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)))) 2)>
#<alt (* 1/2 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))))>
#<alt (* x (- (* 1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* 2 (/ 1 x))))>
#<alt (* x (- (* 1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* 2 (/ 1 x))))>
#<alt (* x (- (* 1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* 2 (/ 1 x))))>
#<alt (* 1/2 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))))>
#<alt (* -1 (* x (+ (* -1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* -1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* 2 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* -1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* 2 (/ 1 x)))))>
#<alt (- x 2)>
#<alt (- (+ x (* (pow eps 2) x)) 2)>
#<alt (- (+ x (* (pow eps 2) x)) 2)>
#<alt (- (+ x (* (pow eps 2) x)) 2)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (- (+ x (/ x (pow eps 2))) (* 2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- (+ x (/ x (pow eps 2))) (* 2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- (+ x (/ x (pow eps 2))) (* 2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (- (+ x (/ x (pow eps 2))) (* 2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- (+ x (/ x (pow eps 2))) (* 2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- (+ x (/ x (pow eps 2))) (* 2 (/ 1 (pow eps 2)))))>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt -2>
#<alt 1>
#<alt (+ 1 (* -1/2 (* x (+ 1 eps))))>
#<alt (+ 1 (* x (+ (* -1/2 (+ 1 eps)) (* 1/4 (* x (pow (+ 1 eps) 2))))))>
#<alt (+ 1 (* x (+ (* -1/2 (+ 1 eps)) (* x (+ (* -1/12 (* x (pow (+ 1 eps) 3))) (* 1/4 (pow (+ 1 eps) 2)))))))>
#<alt (* 1/2 (+ 1 (exp (* -1 (* x (+ 1 eps))))))>
#<alt (* 1/2 (+ 1 (exp (* -1 (* x (+ 1 eps))))))>
#<alt (* 1/2 (+ 1 (exp (* -1 (* x (+ 1 eps))))))>
#<alt (* 1/2 (+ 1 (exp (* -1 (* x (+ 1 eps))))))>
#<alt (* 1/2 (+ 1 (exp (* -1 (* x (+ 1 eps))))))>
#<alt (* 1/2 (+ 1 (exp (* -1 (* x (+ 1 eps))))))>
#<alt (* 1/2 (+ 1 (exp (* -1 (* x (+ 1 eps))))))>
#<alt (* 1/2 (+ 1 (exp (* -1 (* x (+ 1 eps))))))>
#<alt (* 1/2 (+ 1 (exp (* -1 x))))>
#<alt (+ (* -1/2 (* eps (* x (exp (* -1 x))))) (* 1/2 (+ 1 (exp (* -1 x)))))>
#<alt (+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* -1/2 (* x (exp (* -1 x)))) (* 1/4 (* eps (* (pow x 2) (exp (* -1 x))))))))>
#<alt (+ (* 1/2 (+ 1 (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 (exp (* -1 (* x (+ 1 eps))))))>
#<alt (* 1/2 (+ 1 (exp (* -1 (* x (+ 1 eps))))))>
#<alt (* 1/2 (+ 1 (exp (* -1 (* x (+ 1 eps))))))>
#<alt (* 1/2 (+ 1 (exp (* -1 (* x (+ 1 eps))))))>
#<alt (* 1/2 (+ 1 (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ 1 (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ 1 (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ 1 (exp (* x (- (* -1 eps) 1)))))>
#<alt 2>
#<alt (+ 2 (* -1 (* x (+ 1 eps))))>
#<alt (+ 2 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))>
#<alt (+ 2 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))>
#<alt (+ 1 (exp (* -1 (* x (+ 1 eps)))))>
#<alt (+ 1 (exp (* -1 (* x (+ 1 eps)))))>
#<alt (+ 1 (exp (* -1 (* x (+ 1 eps)))))>
#<alt (+ 1 (exp (* -1 (* x (+ 1 eps)))))>
#<alt (+ 1 (exp (* -1 (* x (+ 1 eps)))))>
#<alt (+ 1 (exp (* -1 (* x (+ 1 eps)))))>
#<alt (+ 1 (exp (* -1 (* x (+ 1 eps)))))>
#<alt (+ 1 (exp (* -1 (* x (+ 1 eps)))))>
#<alt (+ 1 (exp (* -1 x)))>
#<alt (+ 1 (+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x)))))))>
#<alt (+ 1 (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x)))))))))>
#<alt (+ 1 (+ (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 (+ 1 (exp (* -1 (* x (+ 1 eps)))))>
#<alt (+ 1 (exp (* -1 (* x (+ 1 eps)))))>
#<alt (+ 1 (exp (* -1 (* x (+ 1 eps)))))>
#<alt (+ 1 (exp (* -1 (* x (+ 1 eps)))))>
#<alt (+ 1 (exp (* x (- (* -1 eps) 1))))>
#<alt (+ 1 (exp (* x (- (* -1 eps) 1))))>
#<alt (+ 1 (exp (* x (- (* -1 eps) 1))))>
#<alt (+ 1 (exp (* x (- (* -1 eps) 1))))>
#<alt 1>
#<alt (+ 1 (* -1 (* x (+ 1 eps))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 x))>
#<alt (+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (* -1 (* eps x))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* -1 (* eps x))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt -1>
#<alt (* 1/2 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))))>
#<alt (* 1/2 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))))>
#<alt (* 1/2 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))))>
#<alt (* 1/2 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))))>
#<alt (* 1/2 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))))>
#<alt (* 1/2 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))))>
#<alt (* 1/2 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))))>
#<alt (* 1/2 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))))>
#<alt (* 1/2 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))))>
#<alt (* 1/2 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))))>
#<alt (* 1/2 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))))>
#<alt (* 1/2 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))))>
#<alt x>
#<alt (+ x (* (pow eps 2) x))>
#<alt (+ x (* (pow eps 2) x))>
#<alt (+ x (* (pow eps 2) x))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (/ x (pow eps 2))))>
#<alt (* (pow eps 2) (+ x (/ x (pow eps 2))))>
#<alt (* (pow eps 2) (+ x (/ x (pow eps 2))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (/ x (pow eps 2))))>
#<alt (* (pow eps 2) (+ x (/ x (pow eps 2))))>
#<alt (* (pow eps 2) (+ x (/ x (pow eps 2))))>
#<alt 1>
#<alt (+ 1 (* 2 eps))>
#<alt (+ 1 (* eps (+ 2 eps)))>
#<alt (+ 1 (* eps (+ 2 eps)))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (* 2 (/ 1 eps))))>
#<alt (* (pow eps 2) (+ 1 (+ (* 2 (/ 1 eps)) (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ 1 (+ (* 2 (/ 1 eps)) (/ 1 (pow eps 2)))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (+ 1 (* 2 (/ 1 eps))))>
#<alt (* (pow eps 2) (+ 1 (+ (* 2 (/ 1 eps)) (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ 1 (+ (* 2 (/ 1 eps)) (/ 1 (pow eps 2)))))>
Calls

102 calls:

TimeVariablePointExpression
16.0ms
x
@-inf
(* x (+ (* 1/2 x) -1))
1.0ms
eps
@0
(+ 1 (* (* 1/2 x) (+ (* (* 1/2 x) (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (+ (- eps (+ 1 eps)) -1))))
1.0ms
eps
@inf
(+ 1 (* (* 1/2 x) (+ (* (* 1/2 x) (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (+ (- eps (+ 1 eps)) -1))))
1.0ms
x
@0
(+ 1 (* (* 1/2 x) (+ (* (* 1/2 x) (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (+ (- eps (+ 1 eps)) -1))))
1.0ms
x
@0
(* (* 1/2 x) (+ (* (* 1/2 x) (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (+ (- eps (+ 1 eps)) -1)))

rewrite329.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
3332×fma-lowering-fma.f32
3332×fma-lowering-fma.f64
2474×*-lowering-*.f32
2474×*-lowering-*.f64
2024×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032205
1257194
22916193
08453193
Stop Event
1×iter limit
1×node limit
Counts
21 → 488
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))
(* (+ x 1) (+ 1 (* x (+ (* 1/2 x) -1))))
(+ x 1)
(+ 1 (* x (+ (* 1/2 x) -1)))
(* x (+ (* 1/2 x) -1))
(+ 1 (* (* 1/2 x) (+ (* (* 1/2 x) (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (+ (- eps (+ 1 eps)) -1))))
(* (* 1/2 x) (+ (* (* 1/2 x) (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (+ (- eps (+ 1 eps)) -1)))
(+ (* (* 1/2 x) (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1)))) (+ (- eps (+ 1 eps)) -1))
(+ (- eps (+ 1 eps)) -1)
(* 1/2 (+ 1 (exp (* x (- -1 eps)))))
(+ 1 (exp (* x (- -1 eps))))
(exp (* x (- -1 eps)))
(* x (- -1 eps))
(* 1/2 x)
(- eps (+ 1 eps))
(* (* 1/2 x) (+ (* (+ 1 eps) (+ 1 eps)) (* (+ eps -1) (+ eps -1))))
(* (+ 1 eps) (+ 1 eps))
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 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(fma.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(/.f64 (+.f64 (*.f64 (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 (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x 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 (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x 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))))))
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(fma.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps))) (exp.f64 (*.f64 x eps)))
(fma.f64 (pow.f64 (exp.f64 x) (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64))) (exp.f64 (*.f64 x eps)))
(fma.f64 (pow.f64 (exp.f64 x) (/.f64 eps #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 eps #s(literal 2 binary64))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.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 (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x 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 (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x 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 (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x 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)))))))
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(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (*.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)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))))) (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (-.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (+.f64 eps #s(literal 1 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)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.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)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 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) x)) (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (-.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 eps #s(literal 1 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)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) x)) (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 eps #s(literal -1 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))
(*.f64 (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64)) x)
(+.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 eps (+.f64 eps #s(literal 1 binary64))))
(+.f64 (*.f64 eps (+.f64 eps #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64)))
(exp.f64 (*.f64 (log1p.f64 eps) #s(literal 2 binary64)))
(fma.f64 eps (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 eps #s(literal 1 binary64)) (*.f64 eps (+.f64 eps #s(literal 1 binary64))))
(fma.f64 (+.f64 eps #s(literal 1 binary64)) eps (+.f64 eps #s(literal 1 binary64)))
(fma.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal 1 binary64))))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) (*.f64 eps (+.f64 eps #s(literal 1 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) eps)) (*.f64 eps (+.f64 eps #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) eps)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))
(/.f64 (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))) (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 eps (+.f64 eps #s(literal 1 binary64))) (*.f64 eps (+.f64 eps #s(literal 1 binary64)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 eps (+.f64 eps #s(literal 1 binary64)))))))
(/.f64 (-.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (*.f64 (*.f64 eps (+.f64 eps #s(literal 1 binary64))) (*.f64 eps (+.f64 eps #s(literal 1 binary64))))) (-.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 eps (+.f64 eps #s(literal 1 binary64)))))
(/.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))
(/.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (-.f64 #s(literal 1 binary64) eps))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) eps))
(pow.f64 (+.f64 eps #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))
(*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (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 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64)))

simplify360.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
3794×*-lowering-*.f32
3794×*-lowering-*.f64
3268×+-lowering-+.f64
3268×+-lowering-+.f32
2104×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03244014
111713724
246003605
085193605
Stop Event
1×iter limit
1×node limit
Counts
408 → 408
Calls
Call 1
Inputs
1
(+ 1 (* 1/2 (* x (+ eps (* -1 (+ 1 eps))))))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))) (* 1/2 (+ eps (* -1 (+ 1 eps)))))))
(+ 1 (* x (+ (* 1/2 (+ eps (* -1 (+ 1 eps)))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3))))) (* 1/2 (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2)))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ 1 (exp (* -1 x))))
(+ (* 1/2 (* eps (+ x (* -1 (* x (exp (* -1 x))))))) (* 1/2 (+ 1 (exp (* -1 x)))))
(+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2))))) (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))))))
(+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2)))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))
2
(+ 2 (* x (+ eps (* -1 (+ 1 eps)))))
(+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))))))
(+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (+ (* 1/2 (pow (+ 1 eps) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3)))))))))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ 1 (exp (* -1 x)))
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(+ 1 (+ (exp (* -1 x)) (* eps (+ x (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2)))))))))
(+ 1 (+ (exp (* -1 x)) (* eps (+ x (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (pow x 2)) (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))))))))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))
(+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))
(+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))
(+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))
1
(+ 1 (* eps x))
(+ 1 (* x (+ eps (* 1/2 (* (pow eps 2) x)))))
(+ 1 (* x (+ eps (* x (+ (* 1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2)))))))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
1
(+ 1 (* eps x))
(+ 1 (* eps (+ x (* 1/2 (* eps (pow x 2))))))
(+ 1 (* eps (+ x (* eps (+ (* 1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
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(* eps x)
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(* eps x)
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
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(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/2 x) 1/2)))
(+ 1 (* (pow x 2) (- (* 1/2 x) 1/2)))
(* 1/2 (pow x 3))
(* (pow x 3) (- 1/2 (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/2 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))))
(* (pow x 3) (- (+ 1/2 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))))
(* 1/2 (pow x 3))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (pow x 2)) 1/2) x)) 1/2)))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (pow x 2)) 1/2) x)) 1/2)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* 1/2 x) 1)))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))
(* (pow x 2) (- (+ 1/2 (/ 1 (pow x 2))) (/ 1 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))
(* (pow x 2) (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* 1/2 x) 1))
(* x (- (* 1/2 x) 1))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* 1/2 (pow x 2))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (- 1/2 (/ 1 x)))
(* (pow x 2) (- 1/2 (/ 1 x)))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/4 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)))) 1)))
(+ 1 (* x (- (* 1/4 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)))) 1)))
(* 1/4 (* (pow x 2) (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))))
(* (pow x 2) (- (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (/ 1 x)))
(* (pow x 2) (- (+ (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (/ 1 (pow x 2))) (/ 1 x)))
(* (pow x 2) (- (+ (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (/ 1 (pow x 2))) (/ 1 x)))
(* 1/4 (* (pow x 2) (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))))
(* (pow x 2) (- (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (/ 1 x)))
(* (pow x 2) (+ (* -1 (/ (- 1 (/ 1 x)) x)) (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)))))
(* (pow x 2) (+ (* -1 (/ (- 1 (/ 1 x)) x)) (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)))))
(+ 1 (* 1/2 (* x (- x 2))))
(+ 1 (+ (* 1/2 (* x (- x 2))) (* 1/2 (* (pow eps 2) (pow x 2)))))
(+ 1 (+ (* 1/2 (* x (- x 2))) (* 1/2 (* (pow eps 2) (pow x 2)))))
(+ 1 (+ (* 1/2 (* x (- x 2))) (* 1/2 (* (pow eps 2) (pow x 2)))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/2 (/ (* x (- x 2)) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ (* 1/2 (/ (* x (- x 2)) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ (* 1/2 (/ (* x (- x 2)) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/2 (/ (* x (- x 2)) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ (* 1/2 (/ (* x (- x 2)) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ (* 1/2 (/ (* x (- x 2)) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(* -1 x)
(* x (- (* 1/4 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)))) 1))
(* x (- (* 1/4 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)))) 1))
(* x (- (* 1/4 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)))) 1))
(* 1/4 (* (pow x 2) (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))))
(* (pow x 2) (- (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (/ 1 x)))
(* (pow x 2) (- (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (/ 1 x)))
(* (pow x 2) (- (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (/ 1 x)))
(* 1/4 (* (pow x 2) (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))))
(* (pow x 2) (- (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (/ 1 x)))
(* (pow x 2) (- (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (/ 1 x)))
(* (pow x 2) (- (* 1/4 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (/ 1 x)))
(* 1/2 (* x (- x 2)))
(+ (* 1/2 (* x (- x 2))) (* 1/2 (* (pow eps 2) (pow x 2))))
(+ (* 1/2 (* x (- x 2))) (* 1/2 (* (pow eps 2) (pow x 2))))
(+ (* 1/2 (* x (- x 2))) (* 1/2 (* (pow eps 2) (pow x 2))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/2 (/ (* x (- x 2)) (pow eps 2))) (* 1/2 (pow x 2))))
(* (pow eps 2) (+ (* 1/2 (/ (* x (- x 2)) (pow eps 2))) (* 1/2 (pow x 2))))
(* (pow eps 2) (+ (* 1/2 (/ (* x (- x 2)) (pow eps 2))) (* 1/2 (pow x 2))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/2 (/ (* x (- x 2)) (pow eps 2))) (* 1/2 (pow x 2))))
(* (pow eps 2) (+ (* 1/2 (/ (* x (- x 2)) (pow eps 2))) (* 1/2 (pow x 2))))
(* (pow eps 2) (+ (* 1/2 (/ (* x (- x 2)) (pow eps 2))) (* 1/2 (pow x 2))))
-2
(- (* 1/2 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)))) 2)
(- (* 1/2 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)))) 2)
(- (* 1/2 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2)))) 2)
(* 1/2 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))))
(* x (- (* 1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* 2 (/ 1 x))))
(* x (- (* 1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* 2 (/ 1 x))))
(* x (- (* 1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* 2 (/ 1 x))))
(* 1/2 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))))
(* -1 (* x (+ (* -1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* 2 (/ 1 x)))))
(* -1 (* x (+ (* -1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* 2 (/ 1 x)))))
(* -1 (* x (+ (* -1/2 (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))) (* 2 (/ 1 x)))))
(- x 2)
(- (+ x (* (pow eps 2) x)) 2)
(- (+ x (* (pow eps 2) x)) 2)
(- (+ x (* (pow eps 2) x)) 2)
(* (pow eps 2) x)
(* (pow eps 2) (- (+ x (/ x (pow eps 2))) (* 2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- (+ x (/ x (pow eps 2))) (* 2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- (+ x (/ x (pow eps 2))) (* 2 (/ 1 (pow eps 2)))))
(* (pow eps 2) x)
(* (pow eps 2) (- (+ x (/ x (pow eps 2))) (* 2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- (+ x (/ x (pow eps 2))) (* 2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- (+ x (/ x (pow eps 2))) (* 2 (/ 1 (pow eps 2)))))
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
-2
1
(+ 1 (* -1/2 (* x (+ 1 eps))))
(+ 1 (* x (+ (* -1/2 (+ 1 eps)) (* 1/4 (* x (pow (+ 1 eps) 2))))))
(+ 1 (* x (+ (* -1/2 (+ 1 eps)) (* x (+ (* -1/12 (* x (pow (+ 1 eps) 3))) (* 1/4 (pow (+ 1 eps) 2)))))))
(* 1/2 (+ 1 (exp (* -1 (* x (+ 1 eps))))))
(* 1/2 (+ 1 (exp (* -1 (* x (+ 1 eps))))))
(* 1/2 (+ 1 (exp (* -1 (* x (+ 1 eps))))))
(* 1/2 (+ 1 (exp (* -1 (* x (+ 1 eps))))))
(* 1/2 (+ 1 (exp (* -1 (* x (+ 1 eps))))))
(* 1/2 (+ 1 (exp (* -1 (* x (+ 1 eps))))))
(* 1/2 (+ 1 (exp (* -1 (* x (+ 1 eps))))))
(* 1/2 (+ 1 (exp (* -1 (* x (+ 1 eps))))))
(* 1/2 (+ 1 (exp (* -1 x))))
(+ (* -1/2 (* eps (* x (exp (* -1 x))))) (* 1/2 (+ 1 (exp (* -1 x)))))
(+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* -1/2 (* x (exp (* -1 x)))) (* 1/4 (* eps (* (pow x 2) (exp (* -1 x))))))))
(+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* -1/2 (* x (exp (* -1 x)))) (* eps (+ (* -1/12 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/4 (* (pow x 2) (exp (* -1 x)))))))))
(* 1/2 (+ 1 (exp (* -1 (* x (+ 1 eps))))))
(* 1/2 (+ 1 (exp (* -1 (* x (+ 1 eps))))))
(* 1/2 (+ 1 (exp (* -1 (* x (+ 1 eps))))))
(* 1/2 (+ 1 (exp (* -1 (* x (+ 1 eps))))))
(* 1/2 (+ 1 (exp (* x (- (* -1 eps) 1)))))
(* 1/2 (+ 1 (exp (* x (- (* -1 eps) 1)))))
(* 1/2 (+ 1 (exp (* x (- (* -1 eps) 1)))))
(* 1/2 (+ 1 (exp (* x (- (* -1 eps) 1)))))
2
(+ 2 (* -1 (* x (+ 1 eps))))
(+ 2 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))
(+ 2 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))
(+ 1 (exp (* -1 (* x (+ 1 eps)))))
(+ 1 (exp (* -1 (* x (+ 1 eps)))))
(+ 1 (exp (* -1 (* x (+ 1 eps)))))
(+ 1 (exp (* -1 (* x (+ 1 eps)))))
(+ 1 (exp (* -1 (* x (+ 1 eps)))))
(+ 1 (exp (* -1 (* x (+ 1 eps)))))
(+ 1 (exp (* -1 (* x (+ 1 eps)))))
(+ 1 (exp (* -1 (* x (+ 1 eps)))))
(+ 1 (exp (* -1 x)))
(+ 1 (+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x)))))))
(+ 1 (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x)))))))))
(+ 1 (+ (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))))))))))
(+ 1 (exp (* -1 (* x (+ 1 eps)))))
(+ 1 (exp (* -1 (* x (+ 1 eps)))))
(+ 1 (exp (* -1 (* x (+ 1 eps)))))
(+ 1 (exp (* -1 (* x (+ 1 eps)))))
(+ 1 (exp (* x (- (* -1 eps) 1))))
(+ 1 (exp (* x (- (* -1 eps) 1))))
(+ 1 (exp (* x (- (* -1 eps) 1))))
(+ 1 (exp (* x (- (* -1 eps) 1))))
1
(+ 1 (* -1 (* x (+ 1 eps))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 x))
(+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x))))))
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))))))
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 x)
(+ (* -1 x) (* -1 (* eps x)))
(+ (* -1 x) (* -1 (* eps x)))
(+ (* -1 x) (* -1 (* eps x)))
(* -1 (* eps x))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* -1 (* eps x))
(* -1 (* eps (+ x (/ x eps))))
(* -1 (* eps (+ x (/ x eps))))
(* -1 (* eps (+ x (/ x eps))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
-1
(* 1/2 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))))
(* 1/2 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))))
(* 1/2 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))))
(* 1/2 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))))
(* 1/2 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))))
(* 1/2 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))))
(* 1/2 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))))
(* 1/2 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))))
(* 1/2 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))))
(* 1/2 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))))
(* 1/2 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))))
(* 1/2 (* x (+ (pow (+ 1 eps) 2) (pow (- eps 1) 2))))
x
(+ x (* (pow eps 2) x))
(+ x (* (pow eps 2) x))
(+ x (* (pow eps 2) x))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (/ x (pow eps 2))))
(* (pow eps 2) (+ x (/ x (pow eps 2))))
(* (pow eps 2) (+ x (/ x (pow eps 2))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (/ x (pow eps 2))))
(* (pow eps 2) (+ x (/ x (pow eps 2))))
(* (pow eps 2) (+ x (/ x (pow eps 2))))
1
(+ 1 (* 2 eps))
(+ 1 (* eps (+ 2 eps)))
(+ 1 (* eps (+ 2 eps)))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ 1 eps))))
(* (pow eps 2) (+ 1 (+ (* 2 (/ 1 eps)) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ 1 (+ (* 2 (/ 1 eps)) (/ 1 (pow eps 2)))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ 1 eps))))
(* (pow eps 2) (+ 1 (+ (* 2 (/ 1 eps)) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ 1 (+ (* 2 (/ 1 eps)) (/ 1 (pow eps 2)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (+ eps (* -1 (+ 1 eps))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 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 x (+.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (*.f64 #s(literal 1/2 binary64) (+.f64 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 x (+.f64 (*.f64 (+.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)))) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 1/4 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) 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 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ 1 (exp (* -1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(+ (* 1/2 (* eps (+ x (* -1 (* x (exp (* -1 x))))))) (* 1/2 (+ 1 (exp (* -1 x)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 eps (+.f64 x (*.f64 x (/.f64 #s(literal -1 binary64) (exp.f64 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 eps (*.f64 #s(literal 1/2 binary64) (+.f64 x (+.f64 (*.f64 x (/.f64 #s(literal -1 binary64) (exp.f64 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 (/.f64 #s(literal -1 binary64) (exp.f64 x))))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (+.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 #s(literal -1/6 binary64) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* 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))))))))
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(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* 2 (/ 1 eps))))
(*.f64 eps (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps))))
(* (pow eps 2) (+ 1 (+ (* 2 (/ 1 eps)) (/ 1 (pow eps 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps)))))
(* (pow eps 2) (+ 1 (+ (* 2 (/ 1 eps)) (/ 1 (pow eps 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps)))))
(pow eps 2)
(*.f64 eps eps)
(* (pow eps 2) (+ 1 (* 2 (/ 1 eps))))
(*.f64 eps (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps))))
(* (pow eps 2) (+ 1 (+ (* 2 (/ 1 eps)) (/ 1 (pow eps 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps)))))
(* (pow eps 2) (+ 1 (+ (* 2 (/ 1 eps)) (/ 1 (pow eps 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) eps)))))

eval175.0ms (1.3%)

Compiler

Compiled 28021 to 2325 computations (91.7% saved)

prune184.0ms (1.4%)

Pruning

27 alts after pruning (24 fresh and 3 done)

PrunedKeptTotal
New1017141031
Fresh81018
Picked325
Done011
Total1028271055
Accuracy
100.0%
Counts
1055 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.9%
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
57.1%
(/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (+.f64 x #s(literal -1 binary64)))
▶46.6%
(-.f64 #s(literal 1 binary64) x)
46.2%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))) #s(literal -1/2 binary64))))
▶56.1%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))
75.6%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))))
43.4%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))))
52.0%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))))
41.4%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))))
▶77.4%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))))
60.6%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (*.f64 eps (+.f64 x (/.f64 (+.f64 x #s(literal -2 binary64)) (*.f64 eps eps)))))))
69.9%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.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 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 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
▶51.8%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))) (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (+.f64 (*.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 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
▶58.3%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x #s(literal -1/12 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/4 binary64)))))))))
46.1%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
17.5%
(+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (/.f64 #s(literal 1/2 binary64) eps)))
46.1%
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))
46.7%
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
12.2%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))))
12.0%
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
58.7%
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x #s(literal 1/6 binary64)))))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
62.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.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)))))
42.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
✓10.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
75.0%
(exp.f64 (-.f64 #s(literal 0 binary64) x))
✓47.0%
#s(literal 1 binary64)
Compiler

Compiled 1261 to 713 computations (43.5% saved)

simplify219.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff896
(*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))) (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))
✓cost-diff1152
(+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))) (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (+.f64 (*.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 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
✓cost-diff1152
(*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))) (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (+.f64 (*.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 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
✓cost-diff1152
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))) (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (+.f64 (*.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 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
✓cost-diff512
(+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x #s(literal -1/12 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/4 binary64))))))
✓cost-diff768
(+.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x #s(literal -1/12 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/4 binary64)))))))
✓cost-diff768
(*.f64 x (+.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x #s(literal -1/12 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/4 binary64))))))))
✓cost-diff768
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x #s(literal -1/12 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/4 binary64)))))))))
✓cost-diff0
(+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))
✓cost-diff0
(-.f64 #s(literal 1 binary64) x)
✓cost-diff0
(*.f64 x (*.f64 eps eps))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
✓cost-diff0
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))))
Rules
3504×*-lowering-*.f32
3504×*-lowering-*.f64
3096×+-lowering-+.f64
3096×+-lowering-+.f32
1314×sum5-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
053657
1183597
2835561
36121555
47197543
08573543
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ 1 (* (* 1/2 x) (* x (* eps eps))))
1
(* (* 1/2 x) (* x (* eps eps)))
(* 1/2 x)
1/2
x
(* x (* eps eps))
(* eps eps)
eps
(- 1 x)
1
x
(+ 1 (* (* x x) (+ (* x 1/3) -1/2)))
1
(* (* x x) (+ (* x 1/3) -1/2))
(* x x)
x
(+ (* x 1/3) -1/2)
(* x 1/3)
1/3
-1/2
(+ 1 (* x (+ -1/2 (+ (* eps -1/2) (* x (+ (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (* x -1/12)) (* (+ 1 eps) (* (+ 1 eps) 1/4))))))))
1
(* x (+ -1/2 (+ (* eps -1/2) (* x (+ (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (* x -1/12)) (* (+ 1 eps) (* (+ 1 eps) 1/4)))))))
x
(+ -1/2 (+ (* eps -1/2) (* x (+ (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (* x -1/12)) (* (+ 1 eps) (* (+ 1 eps) 1/4))))))
-1/2
(+ (* eps -1/2) (* x (+ (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (* x -1/12)) (* (+ 1 eps) (* (+ 1 eps) 1/4)))))
(* eps -1/2)
eps
(* x (+ (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (* x -1/12)) (* (+ 1 eps) (* (+ 1 eps) 1/4))))
(+ (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (* x -1/12)) (* (+ 1 eps) (* (+ 1 eps) 1/4)))
(* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (* x -1/12))
(* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))
(+ 1 eps)
(* (+ 1 eps) (+ 1 eps))
(* x -1/12)
-1/12
(* (+ 1 eps) (* (+ 1 eps) 1/4))
(* (+ 1 eps) 1/4)
1/4
(+ 1 (* x (+ (* x (+ (* (* (+ 1 eps) (* (+ 1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))) (* x 1/6)) (* (* -1/2 (+ (/ 1/2 eps) -1/2)) (* (+ 1 eps) (+ 1 eps))))) (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))))
1
(* x (+ (* x (+ (* (* (+ 1 eps) (* (+ 1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))) (* x 1/6)) (* (* -1/2 (+ (/ 1/2 eps) -1/2)) (* (+ 1 eps) (+ 1 eps))))) (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))
x
(+ (* x (+ (* (* (+ 1 eps) (* (+ 1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))) (* x 1/6)) (* (* -1/2 (+ (/ 1/2 eps) -1/2)) (* (+ 1 eps) (+ 1 eps))))) (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))
(* x (+ (* (* (+ 1 eps) (* (+ 1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))) (* x 1/6)) (* (* -1/2 (+ (/ 1/2 eps) -1/2)) (* (+ 1 eps) (+ 1 eps)))))
(+ (* (* (+ 1 eps) (* (+ 1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))) (* x 1/6)) (* (* -1/2 (+ (/ 1/2 eps) -1/2)) (* (+ 1 eps) (+ 1 eps))))
(* (* (+ 1 eps) (* (+ 1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))) (* x 1/6))
(* (+ 1 eps) (* (+ 1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))
(+ 1 eps)
eps
(* (+ 1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))
(* (+ 1 eps) (+ (/ 1/2 eps) -1/2))
(+ (/ 1/2 eps) -1/2)
(/ 1/2 eps)
1/2
-1/2
(* x 1/6)
1/6
(* (* -1/2 (+ (/ 1/2 eps) -1/2)) (* (+ 1 eps) (+ 1 eps)))
(* -1/2 (+ (/ 1/2 eps) -1/2))
(* (+ 1 eps) (+ 1 eps))
(+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))
(* (+ eps -1) (+ 1/2 (/ 1/2 eps)))
(+ eps -1)
-1
(+ 1/2 (/ 1/2 eps))
Outputs
(+ 1 (* (* 1/2 x) (* x (* eps eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))
1
#s(literal 1 binary64)
(* (* 1/2 x) (* x (* eps eps)))
(*.f64 x (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
x
(* x (* eps eps))
(*.f64 x (*.f64 eps eps))
(* eps eps)
(*.f64 eps eps)
eps
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(+ 1 (* (* x x) (+ (* x 1/3) -1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))
1
#s(literal 1 binary64)
(* (* x x) (+ (* x 1/3) -1/2))
(*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))
(* x x)
(*.f64 x x)
x
(+ (* x 1/3) -1/2)
(+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
(* x 1/3)
(*.f64 x #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
-1/2
#s(literal -1/2 binary64)
(+ 1 (* x (+ -1/2 (+ (* eps -1/2) (* x (+ (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (* x -1/12)) (* (+ 1 eps) (* (+ 1 eps) 1/4))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))) #s(literal -1/2 binary64)))))
1
#s(literal 1 binary64)
(* x (+ -1/2 (+ (* eps -1/2) (* x (+ (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (* x -1/12)) (* (+ 1 eps) (* (+ 1 eps) 1/4)))))))
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))) #s(literal -1/2 binary64))))
x
(+ -1/2 (+ (* eps -1/2) (* x (+ (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (* x -1/12)) (* (+ 1 eps) (* (+ 1 eps) 1/4))))))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))) #s(literal -1/2 binary64)))
-1/2
#s(literal -1/2 binary64)
(+ (* eps -1/2) (* x (+ (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (* x -1/12)) (* (+ 1 eps) (* (+ 1 eps) 1/4)))))
(+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))
(* eps -1/2)
(*.f64 eps #s(literal -1/2 binary64))
eps
(* x (+ (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (* x -1/12)) (* (+ 1 eps) (* (+ 1 eps) 1/4))))
(*.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))
(+ (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (* x -1/12)) (* (+ 1 eps) (* (+ 1 eps) 1/4)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/12 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))
(* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (* x -1/12))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/12 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))
(* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(+ 1 eps)
(+.f64 #s(literal 1 binary64) eps)
(* (+ 1 eps) (+ 1 eps))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
(* x -1/12)
(*.f64 x #s(literal -1/12 binary64))
-1/12
#s(literal -1/12 binary64)
(* (+ 1 eps) (* (+ 1 eps) 1/4))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/4 binary64) (*.f64 eps #s(literal 1/4 binary64))))
(* (+ 1 eps) 1/4)
(+.f64 #s(literal 1/4 binary64) (*.f64 eps #s(literal 1/4 binary64)))
1/4
#s(literal 1/4 binary64)
(+ 1 (* x (+ (* x (+ (* (* (+ 1 eps) (* (+ 1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))) (* x 1/6)) (* (* -1/2 (+ (/ 1/2 eps) -1/2)) (* (+ 1 eps) (+ 1 eps))))) (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/2 binary64))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 x #s(literal 1/6 binary64))))))))))
1
#s(literal 1 binary64)
(* x (+ (* x (+ (* (* (+ 1 eps) (* (+ 1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))) (* x 1/6)) (* (* -1/2 (+ (/ 1/2 eps) -1/2)) (* (+ 1 eps) (+ 1 eps))))) (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))
(*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/2 binary64))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 x #s(literal 1/6 binary64)))))))))
x
(+ (* x (+ (* (* (+ 1 eps) (* (+ 1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))) (* x 1/6)) (* (* -1/2 (+ (/ 1/2 eps) -1/2)) (* (+ 1 eps) (+ 1 eps))))) (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))
(+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/2 binary64))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 x #s(literal 1/6 binary64))))))))
(* x (+ (* (* (+ 1 eps) (* (+ 1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))) (* x 1/6)) (* (* -1/2 (+ (/ 1/2 eps) -1/2)) (* (+ 1 eps) (+ 1 eps)))))
(*.f64 x (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))
(+ (* (* (+ 1 eps) (* (+ 1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))) (* x 1/6)) (* (* -1/2 (+ (/ 1/2 eps) -1/2)) (* (+ 1 eps) (+ 1 eps))))
(*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))
(* (* (+ 1 eps) (* (+ 1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))) (* x 1/6))
(*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))
(* (+ 1 eps) (* (+ 1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(+ 1 eps)
(+.f64 #s(literal 1 binary64) eps)
eps
(* (+ 1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(* (+ 1 eps) (+ (/ 1/2 eps) -1/2))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(+ (/ 1/2 eps) -1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
(/ 1/2 eps)
(/.f64 #s(literal 1/2 binary64) eps)
1/2
#s(literal 1/2 binary64)
-1/2
#s(literal -1/2 binary64)
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(* (* -1/2 (+ (/ 1/2 eps) -1/2)) (* (+ 1 eps) (+ 1 eps)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) eps)))
(* -1/2 (+ (/ 1/2 eps) -1/2))
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) eps))
(* (+ 1 eps) (+ 1 eps))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
(+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(* (+ 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))
-1
#s(literal -1 binary64)
(+ 1/2 (/ 1/2 eps))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))

localize965.0ms (7.4%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy98.3%
(*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))) (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (+.f64 (*.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 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
✓accuracy95.7%
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))) (*.f64 x #s(literal 1/6 binary64)))
✓accuracy95.4%
(*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))) (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))
✓accuracy89.5%
(+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))) (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
✓accuracy98.4%
(*.f64 x (+.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x #s(literal -1/12 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/4 binary64))))))))
✓accuracy96.0%
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x #s(literal -1/12 binary64)))
✓accuracy95.5%
(*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x #s(literal -1/12 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/4 binary64)))))
✓accuracy89.5%
(+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x #s(literal -1/12 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/4 binary64))))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
✓accuracy99.9%
(*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))
✓accuracy99.4%
(*.f64 x #s(literal 1/3 binary64))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(*.f64 eps eps)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) x)
✓accuracy96.3%
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps)))
✓accuracy91.4%
(*.f64 x (*.f64 eps eps))
Results
455.0ms183×2valid
253.0ms49×3valid
35.0ms24×1valid
Compiler

Compiled 733 to 54 computations (92.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 555.0ms
ival-mult: 401.0ms (72.3% of total)
backward-pass: 55.0ms (9.9% of total)
ival-add: 54.0ms (9.7% of total)
...c/correct-round.rkt:119:19: 32.0ms (5.8% of total)
ival-div: 6.0ms (1.1% of total)
ival-sub: 4.0ms (0.7% of total)
const: 2.0ms (0.4% of total)

series46.0ms (0.4%)

Counts
24 → 480
Calls
Call 1
Inputs
#<alt (+ 1 (* (* 1/2 x) (* x (* eps eps))))>
#<alt (* (* 1/2 x) (* x (* eps eps)))>
#<alt (* 1/2 x)>
#<alt (* x (* eps eps))>
#<alt (- 1 x)>
#<alt (+ 1 (* (* x x) (+ (* x 1/3) -1/2)))>
#<alt (* (* x x) (+ (* x 1/3) -1/2))>
#<alt (* x x)>
#<alt (+ (* x 1/3) -1/2)>
#<alt (+ 1 (* x (+ -1/2 (+ (* eps -1/2) (* x (+ (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (* x -1/12)) (* (+ 1 eps) (* (+ 1 eps) 1/4))))))))>
#<alt (* x (+ -1/2 (+ (* eps -1/2) (* x (+ (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (* x -1/12)) (* (+ 1 eps) (* (+ 1 eps) 1/4)))))))>
#<alt (+ -1/2 (+ (* eps -1/2) (* x (+ (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (* x -1/12)) (* (+ 1 eps) (* (+ 1 eps) 1/4))))))>
#<alt (+ (* eps -1/2) (* x (+ (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (* x -1/12)) (* (+ 1 eps) (* (+ 1 eps) 1/4)))))>
#<alt (+ 1 (* x (+ (* x (+ (* (* (+ 1 eps) (* (+ 1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))) (* x 1/6)) (* (* -1/2 (+ (/ 1/2 eps) -1/2)) (* (+ 1 eps) (+ 1 eps))))) (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))))>
#<alt (* x (+ (* x (+ (* (* (+ 1 eps) (* (+ 1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))) (* x 1/6)) (* (* -1/2 (+ (/ 1/2 eps) -1/2)) (* (+ 1 eps) (+ 1 eps))))) (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))>
#<alt (+ (* x (+ (* (* (+ 1 eps) (* (+ 1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))) (* x 1/6)) (* (* -1/2 (+ (/ 1/2 eps) -1/2)) (* (+ 1 eps) (+ 1 eps))))) (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))>
#<alt (* x (+ (* (* (+ 1 eps) (* (+ 1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))) (* x 1/6)) (* (* -1/2 (+ (/ 1/2 eps) -1/2)) (* (+ 1 eps) (+ 1 eps)))))>
#<alt (* eps eps)>
#<alt (* x 1/3)>
#<alt (+ (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (* x -1/12)) (* (+ 1 eps) (* (+ 1 eps) 1/4)))>
#<alt (* x (+ (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (* x -1/12)) (* (+ 1 eps) (* (+ 1 eps) 1/4))))>
#<alt (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (* x -1/12))>
#<alt (+ (* (* (+ 1 eps) (* (+ 1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))) (* x 1/6)) (* (* -1/2 (+ (/ 1/2 eps) -1/2)) (* (+ 1 eps) (+ 1 eps))))>
#<alt (* (* (+ 1 eps) (* (+ 1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))) (* x 1/6))>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
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#<alt (* -1/12 (* x (pow (+ 1 eps) 3)))>
#<alt (* -1/12 (* x (pow (+ 1 eps) 3)))>
#<alt (* -1/12 (* x (pow (+ 1 eps) 3)))>
#<alt (* -1/12 (* x (pow (+ 1 eps) 3)))>
#<alt (/ (- (* 1/12 x) 1/4) eps)>
#<alt (/ (- (+ (* 1/12 x) (* eps (- (* 1/6 x) 1/4))) 1/4) eps)>
#<alt (/ (- (+ (* 1/12 x) (* eps (- (+ (* 1/6 x) (* 1/4 eps)) 1/4))) 1/4) eps)>
#<alt (/ (- (+ (* 1/12 x) (* eps (- (+ (* 1/6 x) (* eps (+ 1/4 (* eps (+ 1/4 (* -1/6 x)))))) 1/4))) 1/4) eps)>
#<alt (* -1/12 (* (pow eps 3) x))>
#<alt (* (pow eps 3) (+ (* -1/6 (/ x eps)) (+ (* -1/12 x) (* 1/4 (/ 1 eps)))))>
#<alt (* (pow eps 3) (+ (* -1/6 (/ x eps)) (+ (* -1/12 x) (+ (/ 1/4 (pow eps 2)) (* 1/4 (/ 1 eps))))))>
#<alt (* (pow eps 3) (- (+ (* -1/6 (/ x eps)) (+ (* -1/12 x) (+ (* 1/6 (/ x (pow eps 3))) (+ (/ 1/4 (pow eps 2)) (* 1/4 (/ 1 eps)))))) (* 1/4 (/ 1 (pow eps 3)))))>
#<alt (* -1/12 (* (pow eps 3) x))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/4 (* -1/6 x)) eps)) (* 1/12 x))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/4 (+ (* -1/6 x) (* 1/4 (/ 1 eps)))) eps)) (* 1/12 x))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/4 (+ (* -1 (/ (- (* -1 (/ (- (* 1/6 x) 1/4) eps)) 1/4) eps)) (* -1/6 x))) eps)) (* 1/12 x))))>
#<alt (* -1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))>
#<alt (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))>
#<alt (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))>
#<alt (* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (* x (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)) x)) (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))>
#<alt (* x (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)) x)) (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))>
#<alt (* x (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)) x)) (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))>
#<alt (* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (* -1 (* x (+ (* -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)))))>
#<alt (* -1 (* x (+ (* -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)))))>
#<alt (* -1 (* x (+ (* -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)))))>
#<alt (* 1/12 (/ x eps))>
#<alt (/ (+ (* 1/12 x) (* 1/6 (* eps x))) eps)>
#<alt (/ (+ (* 1/12 x) (* eps (+ (* -1/6 (* (pow eps 2) x)) (* 1/6 x)))) eps)>
#<alt (/ (+ (* 1/12 x) (* eps (+ (* 1/6 x) (* (pow eps 2) (+ (* -1/6 x) (* -1/12 (* eps x))))))) eps)>
#<alt (* -1/12 (* (pow eps 3) x))>
#<alt (* (pow eps 3) (+ (* -1/6 (/ x eps)) (* -1/12 x)))>
#<alt (* (pow eps 3) (+ (* -1/6 (/ x eps)) (+ (* -1/12 x) (* 1/6 (/ x (pow eps 3))))))>
#<alt (* (pow eps 3) (+ (* -1/6 (/ x eps)) (+ (* -1/12 x) (+ (* 1/12 (/ x (pow eps 4))) (* 1/6 (/ x (pow eps 3)))))))>
#<alt (* -1/12 (* (pow eps 3) x))>
#<alt (* -1 (* (pow eps 3) (+ (* 1/12 x) (* 1/6 (/ x eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/6 x) (* 1/6 (/ x (pow eps 2)))) eps)) (* 1/12 x))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/6 x) (+ (* 1/12 (/ x (pow eps 3))) (* 1/6 (/ x (pow eps 2))))) eps)) (* 1/12 x))))>
#<alt (* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))>
Calls

120 calls:

TimeVariablePointExpression
3.0ms
eps
@-inf
(+ 1 (* (* 1/2 x) (* x (* eps eps))))
2.0ms
x
@-inf
(+ 1 (* x (+ -1/2 (+ (* eps -1/2) (* x (+ (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (* x -1/12)) (* (+ 1 eps) (* (+ 1 eps) 1/4))))))))
2.0ms
eps
@0
(+ 1 (* x (+ (* x (+ (* (* (+ 1 eps) (* (+ 1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))) (* x 1/6)) (* (* -1/2 (+ (/ 1/2 eps) -1/2)) (* (+ 1 eps) (+ 1 eps))))) (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))))
1.0ms
x
@0
(+ 1 (* x (+ (* x (+ (* (* (+ 1 eps) (* (+ 1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))) (* x 1/6)) (* (* -1/2 (+ (/ 1/2 eps) -1/2)) (* (+ 1 eps) (+ 1 eps))))) (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))))
1.0ms
x
@-inf
(+ 1 (* x (+ (* x (+ (* (* (+ 1 eps) (* (+ 1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))) (* x 1/6)) (* (* -1/2 (+ (/ 1/2 eps) -1/2)) (* (+ 1 eps) (+ 1 eps))))) (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))))

rewrite420.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
2690×*-lowering-*.f32
2690×*-lowering-*.f64
1544×fma-lowering-fma.f32
1544×fma-lowering-fma.f64
1522×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053448
1366410
24326410
08004410
Stop Event
1×iter limit
1×node limit
Counts
24 → 347
Calls
Call 1
Inputs
(+ 1 (* (* 1/2 x) (* x (* eps eps))))
(* (* 1/2 x) (* x (* eps eps)))
(* 1/2 x)
(* x (* eps eps))
(- 1 x)
(+ 1 (* (* x x) (+ (* x 1/3) -1/2)))
(* (* x x) (+ (* x 1/3) -1/2))
(* x x)
(+ (* x 1/3) -1/2)
(+ 1 (* x (+ -1/2 (+ (* eps -1/2) (* x (+ (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (* x -1/12)) (* (+ 1 eps) (* (+ 1 eps) 1/4))))))))
(* x (+ -1/2 (+ (* eps -1/2) (* x (+ (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (* x -1/12)) (* (+ 1 eps) (* (+ 1 eps) 1/4)))))))
(+ -1/2 (+ (* eps -1/2) (* x (+ (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (* x -1/12)) (* (+ 1 eps) (* (+ 1 eps) 1/4))))))
(+ (* eps -1/2) (* x (+ (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (* x -1/12)) (* (+ 1 eps) (* (+ 1 eps) 1/4)))))
(+ 1 (* x (+ (* x (+ (* (* (+ 1 eps) (* (+ 1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))) (* x 1/6)) (* (* -1/2 (+ (/ 1/2 eps) -1/2)) (* (+ 1 eps) (+ 1 eps))))) (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))))
(* x (+ (* x (+ (* (* (+ 1 eps) (* (+ 1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))) (* x 1/6)) (* (* -1/2 (+ (/ 1/2 eps) -1/2)) (* (+ 1 eps) (+ 1 eps))))) (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))
(+ (* x (+ (* (* (+ 1 eps) (* (+ 1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))) (* x 1/6)) (* (* -1/2 (+ (/ 1/2 eps) -1/2)) (* (+ 1 eps) (+ 1 eps))))) (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))
(* x (+ (* (* (+ 1 eps) (* (+ 1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))) (* x 1/6)) (* (* -1/2 (+ (/ 1/2 eps) -1/2)) (* (+ 1 eps) (+ 1 eps)))))
(* eps eps)
(* x 1/3)
(+ (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (* x -1/12)) (* (+ 1 eps) (* (+ 1 eps) 1/4)))
(* x (+ (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (* x -1/12)) (* (+ 1 eps) (* (+ 1 eps) 1/4))))
(* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (* x -1/12))
(+ (* (* (+ 1 eps) (* (+ 1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))) (* x 1/6)) (* (* -1/2 (+ (/ 1/2 eps) -1/2)) (* (+ 1 eps) (+ 1 eps))))
(* (* (+ 1 eps) (* (+ 1 eps) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))) (* x 1/6))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) (*.f64 (*.f64 x x) (*.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 eps eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 x (*.f64 eps eps)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 eps eps) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) (*.f64 (*.f64 x x) (*.f64 eps eps))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) (*.f64 (*.f64 x x) (*.f64 eps eps)))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) (*.f64 (*.f64 x x) (*.f64 eps eps)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) (*.f64 (*.f64 x x) (*.f64 eps eps)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) (*.f64 (*.f64 x x) (*.f64 eps eps)))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) (*.f64 (*.f64 x x) (*.f64 eps eps))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) (*.f64 (*.f64 x x) (*.f64 eps eps))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) (*.f64 (*.f64 x x) (*.f64 eps eps)))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) (*.f64 (*.f64 x x) (*.f64 eps eps)))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) (*.f64 (*.f64 x x) (*.f64 eps eps)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) (*.f64 (*.f64 x x) (*.f64 eps eps))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))))))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (*.f64 eps eps)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))))
(*.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps)))
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64))
(*.f64 (*.f64 x eps) (*.f64 eps (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 eps eps))
(*.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 x (*.f64 eps eps)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps eps))) (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 eps eps))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps eps)) x)
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x eps)) eps)
(*.f64 (*.f64 (*.f64 x (*.f64 eps eps)) #s(literal 1/2 binary64)) x)
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) eps) eps)
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 x (*.f64 eps eps))
(*.f64 eps (*.f64 x eps))
(*.f64 (*.f64 eps eps) x)
(*.f64 (*.f64 x eps) eps)
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))
(+.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
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simplify420.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
6676×*-lowering-*.f32
6676×*-lowering-*.f64
6034×+-lowering-+.f64
6034×+-lowering-+.f32
1660×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07788310
127828138
089868138
Stop Event
1×iter limit
1×node limit
Counts
480 → 480
Calls
Call 1
Inputs
1
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
1
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
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(* -1/12 (* (pow x 2) (pow (+ 1 eps) 3)))
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(* (pow x 2) (+ (* -1/2 (/ eps (pow x 2))) (+ (* -1/12 (pow (+ 1 eps) 3)) (* 1/4 (/ (pow (+ 1 eps) 2) x)))))
(* -1/12 (* (pow x 2) (pow (+ 1 eps) 3)))
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1
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(+ 1 (* x (+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/6 (* x (* (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))))))
(* 1/6 (* (pow x 3) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
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(* 1/6 (* (pow x 3) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
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(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x))) x)) (* -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)))) x)) (* -1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))))
(/ (* (pow x 2) (- (* 1/12 x) 1/4)) eps)
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(/ (+ (* eps (+ 1 (+ (* 1/4 (* eps (pow x 2))) (* (pow x 2) (- (* 1/6 x) 1/4))))) (* (pow x 2) (- (* 1/12 x) 1/4))) eps)
(/ (+ (* eps (+ 1 (+ (* eps (+ (* 1/4 (pow x 2)) (* eps (* (pow x 2) (+ 1/4 (* -1/6 x)))))) (* (pow x 2) (- (* 1/6 x) 1/4))))) (* (pow x 2) (- (* 1/12 x) 1/4))) eps)
(* -1/12 (* (pow eps 3) (pow x 3)))
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(* (pow eps 3) (+ (* -1/12 (pow x 3)) (+ (* 1/4 (/ (pow x 2) (pow eps 2))) (/ (* (pow x 2) (+ 1/4 (* -1/6 x))) eps))))
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(* -1/12 (* (pow eps 3) (pow x 3)))
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(* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))
(* x (+ (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (* 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))) (* 1/6 (* x (* (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))) (* 1/6 (* x (* (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)))))
(* 1/6 (* (pow x 3) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(* (pow x 3) (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)) x)) (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))
(* (pow x 3) (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)) x)) (+ (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))) (+ (/ (* (+ 1/2 (* 1/2 (/ 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 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (pow x 2)) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (pow x 2))))))
(* 1/6 (* (pow x 3) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
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(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
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(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/6 x) (* 1/6 (/ x (pow eps 2)))) eps)) (* 1/12 x))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/6 x) (+ (* 1/12 (/ x (pow eps 3))) (* 1/6 (/ x (pow eps 2))))) eps)) (* 1/12 x))))
(* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x)))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x)))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x)))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x)))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x)))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x)))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x)))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x)))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x)))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x)))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x)))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x)))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* (pow eps 2) x)
(*.f64 (*.f64 eps eps) x)
(* (pow eps 2) x)
(*.f64 (*.f64 eps eps) x)
(* (pow eps 2) x)
(*.f64 (*.f64 eps eps) x)
(* (pow eps 2) x)
(*.f64 (*.f64 eps eps) x)
(* (pow eps 2) x)
(*.f64 (*.f64 eps eps) x)
(* (pow eps 2) x)
(*.f64 (*.f64 eps eps) x)
(* (pow eps 2) x)
(*.f64 (*.f64 eps eps) x)
(* (pow eps 2) x)
(*.f64 (*.f64 eps eps) x)
(* (pow eps 2) x)
(*.f64 (*.f64 eps eps) x)
(* (pow eps 2) x)
(*.f64 (*.f64 eps eps) x)
(* (pow eps 2) x)
(*.f64 (*.f64 eps eps) x)
(* (pow eps 2) x)
(*.f64 (*.f64 eps eps) x)
(* (pow eps 2) x)
(*.f64 (*.f64 eps eps) x)
(* (pow eps 2) x)
(*.f64 (*.f64 eps eps) x)
(* (pow eps 2) x)
(*.f64 (*.f64 eps eps) x)
(* (pow eps 2) x)
(*.f64 (*.f64 eps eps) x)
(* (pow eps 2) x)
(*.f64 (*.f64 eps eps) x)
(* (pow eps 2) x)
(*.f64 (*.f64 eps eps) x)
(* (pow eps 2) x)
(*.f64 (*.f64 eps eps) x)
(* (pow eps 2) x)
(*.f64 (*.f64 eps eps) x)
(* (pow eps 2) x)
(*.f64 (*.f64 eps eps) x)
(* (pow eps 2) x)
(*.f64 (*.f64 eps eps) x)
(* (pow eps 2) x)
(*.f64 (*.f64 eps eps) x)
(* (pow eps 2) x)
(*.f64 (*.f64 eps eps) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(* x (- (/ 1 x) 1))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(* x (- (/ 1 x) 1))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(* -1 (* x (- 1 (/ 1 x))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(* -1 (* x (- 1 (/ 1 x))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))
(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))
(* 1/3 (pow x 3))
(*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x))))
(* 1/3 (pow x 3))
(*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/3 binary64))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (pow x 2)) 1/2) x)) 1/3)))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1/3 binary64)) (neg.f64 (*.f64 x (*.f64 x x))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 (pow x 2)) 1/2) x)) 1/3)))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1/3 binary64)) (neg.f64 (*.f64 x (*.f64 x x))))
(* -1/2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- (* 1/3 x) 1/2))
(*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))
(* (pow x 2) (- (* 1/3 x) 1/2))
(*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))
(* (pow x 2) (- (* 1/3 x) 1/2))
(*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))
(* 1/3 (pow x 3))
(*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* 1/3 (pow x 3))
(*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/3 binary64))))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/3 binary64))))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))
(*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/3 binary64))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
-1/2
#s(literal -1/2 binary64)
(- (* 1/3 x) 1/2)
(+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
(- (* 1/3 x) 1/2)
(+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
(- (* 1/3 x) 1/2)
(+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* x (- 1/3 (* 1/2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/3 binary64)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/3 binary64)))
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1/3 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* x (- (* -1/2 eps) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal -1/2 binary64))))
(+ 1 (* x (- (+ (* -1/2 eps) (* 1/4 (* x (pow (+ 1 eps) 2)))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 x #s(literal 1/4 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))))
(+ 1 (* x (- (+ (* -1/2 eps) (* x (+ (* -1/12 (* x (pow (+ 1 eps) 3))) (* 1/4 (pow (+ 1 eps) 2))))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (*.f64 x #s(literal -1/12 binary64)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)))) (+.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal -1/2 binary64)))))
(* -1/12 (* (pow x 3) (pow (+ 1 eps) 3)))
(*.f64 (*.f64 (*.f64 (*.f64 x #s(literal -1/12 binary64)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x x))
(* (pow x 3) (+ (* -1/12 (pow (+ 1 eps) 3)) (* 1/4 (/ (pow (+ 1 eps) 2) x))))
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(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (/.f64 (*.f64 x #s(literal -1/6 binary64)) eps) (+.f64 (*.f64 x #s(literal -1/12 binary64)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps (*.f64 eps eps))))))
(* (pow eps 3) (+ (* -1/6 (/ x eps)) (+ (* -1/12 x) (+ (* 1/12 (/ x (pow eps 4))) (* 1/6 (/ x (pow eps 3)))))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (/.f64 (*.f64 x #s(literal -1/6 binary64)) eps) (+.f64 (+.f64 (*.f64 x #s(literal -1/12 binary64)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 eps (*.f64 eps eps)))) (/.f64 (*.f64 x #s(literal 1/12 binary64)) (pow.f64 eps #s(literal 4 binary64))))))
(* -1/12 (* (pow eps 3) x))
(*.f64 #s(literal -1/12 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* 1/12 x) (* 1/6 (/ x eps)))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 x #s(literal 1/12 binary64)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) eps))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/6 x) (* 1/6 (/ x (pow eps 2)))) eps)) (* 1/12 x))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/12 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 #s(literal 1/6 binary64) (/.f64 x (*.f64 eps eps)))) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/6 x) (+ (* 1/12 (/ x (pow eps 3))) (* 1/6 (/ x (pow eps 2))))) eps)) (* 1/12 x))))
(*.f64 (-.f64 (*.f64 x #s(literal 1/12 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 x (*.f64 eps eps))) (*.f64 #s(literal 1/12 binary64) (/.f64 x (*.f64 eps (*.f64 eps eps)))))) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps))))
(* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.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 binary64) eps)))))
(* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.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 binary64) eps)))))
(* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.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 binary64) eps)))))
(* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.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 binary64) eps)))))
(* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.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 binary64) eps)))))
(* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.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 binary64) eps)))))
(* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.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 binary64) eps)))))
(* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.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 binary64) eps)))))
(* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.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 binary64) eps)))))
(* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.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 binary64) eps)))))
(* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.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 binary64) eps)))))
(* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (*.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 binary64) eps)))))

eval292.0ms (2.2%)

Compiler

Compiled 40323 to 2634 computations (93.5% saved)

prune202.0ms (1.6%)

Pruning

29 alts after pruning (24 fresh and 5 done)

PrunedKeptTotal
New81413827
Fresh81119
Picked325
Done033
Total82529854
Accuracy
100.0%
Counts
854 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.3%
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) (*.f64 (*.f64 x x) (*.f64 eps eps)))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64)))
62.9%
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
57.1%
(/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (+.f64 x #s(literal -1 binary64)))
✓46.6%
(-.f64 #s(literal 1 binary64) x)
75.6%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x eps)) eps))
46.2%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))) #s(literal -1/2 binary64))))
✓56.1%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))
46.1%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
52.0%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))))
41.4%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))))
57.9%
(+.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 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.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 binary64) eps)))))))))))
36.2%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/12 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 x (*.f64 eps eps))) (*.f64 #s(literal 1/12 binary64) (/.f64 x (*.f64 eps (*.f64 eps eps)))))) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (+.f64 (*.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 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
46.2%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 x #s(literal -1/12 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 eps #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/4 binary64)))))))))
58.4%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (*.f64 #s(literal -1/12 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps)))))))))
60.9%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) eps))))
17.5%
(+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (/.f64 #s(literal 1/2 binary64) eps)))
46.7%
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
16.9%
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) x) (*.f64 #s(literal 1/6 binary64) (*.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 binary64) eps))))))
10.5%
(*.f64 (*.f64 x x) (/.f64 (+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/4 binary64)) eps))
20.0%
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/12 binary64))) x) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/6 binary64)))) eps)))
12.0%
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
58.7%
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x #s(literal 1/6 binary64)))))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
62.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.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)))))
42.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
✓10.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
27.4%
(*.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) eps) x))
75.0%
(exp.f64 (-.f64 #s(literal 0 binary64) x))
✓47.0%
#s(literal 1 binary64)
Compiler

Compiled 2195 to 762 computations (65.3% saved)

regimes77.0ms (0.6%)

Counts
59 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))))
(*.f64 (*.f64 x x) (/.f64 (+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/4 binary64)) eps))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x eps)) eps))
(*.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) eps) x))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))) #s(literal -1/2 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))
(+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (/.f64 #s(literal 1/2 binary64) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (*.f64 eps (+.f64 x (/.f64 (+.f64 x #s(literal -2 binary64)) (*.f64 eps eps)))))))
(/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (+.f64 x #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (*.f64 #s(literal -1/12 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps)))))))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/12 binary64))) x) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/6 binary64)))) eps)))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) (*.f64 (*.f64 x x) (*.f64 eps eps)))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x #s(literal -1/12 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/4 binary64)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.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 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 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) x) (*.f64 #s(literal 1/6 binary64) (*.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 binary64) eps))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 x #s(literal -1/12 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 eps #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/4 binary64)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))))
(+.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 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.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 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))) (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (+.f64 (*.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 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(+.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 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.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 binary64) eps)))))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/12 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 x (*.f64 eps eps))) (*.f64 #s(literal 1/12 binary64) (/.f64 x (*.f64 eps (*.f64 eps eps)))))) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (+.f64 (*.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 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 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 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x #s(literal 1/6 binary64)))))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (*.f64 (+.f64 #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 #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)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 x #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) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) #s(literal -1 binary64))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 eps eps))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (+.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 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
Outputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
Calls

4 calls:

19.0ms
eps
17.0ms
x
15.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
15.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
98.1%1x
100.0%2eps
98.1%1(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
98.1%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)

regimes47.0ms (0.4%)

Counts
58 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))))
(*.f64 (*.f64 x x) (/.f64 (+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/4 binary64)) eps))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x eps)) eps))
(*.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) eps) x))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))) #s(literal -1/2 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))
(+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (/.f64 #s(literal 1/2 binary64) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (*.f64 eps (+.f64 x (/.f64 (+.f64 x #s(literal -2 binary64)) (*.f64 eps eps)))))))
(/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (+.f64 x #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (*.f64 #s(literal -1/12 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps)))))))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/12 binary64))) x) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/6 binary64)))) eps)))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) (*.f64 (*.f64 x x) (*.f64 eps eps)))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x #s(literal -1/12 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/4 binary64)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.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 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 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) x) (*.f64 #s(literal 1/6 binary64) (*.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 binary64) eps))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 x #s(literal -1/12 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 eps #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/4 binary64)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))))
(+.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 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.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 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))) (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (+.f64 (*.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 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(+.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 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.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 binary64) eps)))))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/12 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 x (*.f64 eps eps))) (*.f64 #s(literal 1/12 binary64) (/.f64 x (*.f64 eps (*.f64 eps eps)))))) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (+.f64 (*.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 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 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 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x #s(literal 1/6 binary64)))))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (*.f64 (+.f64 #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 #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)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 x #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) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) #s(literal -1 binary64))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 eps eps))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (+.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 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Outputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Calls

1 calls:

37.0ms
eps
Results
AccuracySegmentsBranch
100.0%2eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes61.0ms (0.5%)

Counts
53 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))))
(*.f64 (*.f64 x x) (/.f64 (+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/4 binary64)) eps))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x eps)) eps))
(*.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) eps) x))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))) #s(literal -1/2 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))
(+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (/.f64 #s(literal 1/2 binary64) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (*.f64 eps (+.f64 x (/.f64 (+.f64 x #s(literal -2 binary64)) (*.f64 eps eps)))))))
(/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (+.f64 x #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (*.f64 #s(literal -1/12 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps)))))))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/12 binary64))) x) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/6 binary64)))) eps)))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) (*.f64 (*.f64 x x) (*.f64 eps eps)))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x #s(literal -1/12 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/4 binary64)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.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 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 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) x) (*.f64 #s(literal 1/6 binary64) (*.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 binary64) eps))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 x #s(literal -1/12 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 eps #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/4 binary64)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))))
(+.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 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.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 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))) (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (+.f64 (*.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 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(+.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 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.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 binary64) eps)))))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/12 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 x (*.f64 eps eps))) (*.f64 #s(literal 1/12 binary64) (/.f64 x (*.f64 eps (*.f64 eps eps)))))) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (+.f64 (*.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 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 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 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x #s(literal 1/6 binary64)))))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (*.f64 (+.f64 #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 #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)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (*.f64 (*.f64 (*.f64 x #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) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)))))) #s(literal -1 binary64))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 eps eps))))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (+.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 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
Outputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (*.f64 eps (+.f64 x (/.f64 (+.f64 x #s(literal -2 binary64)) (*.f64 eps eps)))))))
Calls

2 calls:

27.0ms
x
26.0ms
eps
Results
AccuracySegmentsBranch
89.8%4x
94.7%2eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes22.0ms (0.2%)

Counts
41 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))))
(*.f64 (*.f64 x x) (/.f64 (+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/4 binary64)) eps))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x eps)) eps))
(*.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) eps) x))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))) #s(literal -1/2 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))
(+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (/.f64 #s(literal 1/2 binary64) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (*.f64 eps (+.f64 x (/.f64 (+.f64 x #s(literal -2 binary64)) (*.f64 eps eps)))))))
(/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (+.f64 x #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (*.f64 #s(literal -1/12 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps)))))))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/12 binary64))) x) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/6 binary64)))) eps)))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) (*.f64 (*.f64 x x) (*.f64 eps eps)))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x #s(literal -1/12 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/4 binary64)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.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 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 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) x) (*.f64 #s(literal 1/6 binary64) (*.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 binary64) eps))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 x #s(literal -1/12 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 eps #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/4 binary64)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))))
(+.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 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.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 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))) (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (+.f64 (*.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 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(+.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 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.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 binary64) eps)))))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/12 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 x (*.f64 eps eps))) (*.f64 #s(literal 1/12 binary64) (/.f64 x (*.f64 eps (*.f64 eps eps)))))) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (+.f64 (*.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 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
Outputs
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (*.f64 eps (+.f64 x (/.f64 (+.f64 x #s(literal -2 binary64)) (*.f64 eps eps)))))))
Calls

1 calls:

13.0ms
eps
Results
AccuracySegmentsBranch
92.8%2eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes28.0ms (0.2%)

Counts
40 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))))
(*.f64 (*.f64 x x) (/.f64 (+.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal -1/4 binary64)) eps))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x eps)) eps))
(*.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) eps) x))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/12 binary64) (*.f64 (*.f64 (*.f64 (*.f64 eps eps) x) x) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))) #s(literal -1/2 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))
(+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (/.f64 #s(literal 1/2 binary64) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (*.f64 eps (+.f64 x (/.f64 (+.f64 x #s(literal -2 binary64)) (*.f64 eps eps)))))))
(/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) x))))) (+.f64 x #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (*.f64 #s(literal -1/12 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps)))))))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/12 binary64))) x) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/6 binary64)))) eps)))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) (*.f64 (*.f64 x x) (*.f64 eps eps)))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x #s(literal -1/12 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/4 binary64)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.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 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 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) x) (*.f64 #s(literal 1/6 binary64) (*.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 binary64) eps))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 x #s(literal -1/12 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 eps #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/4 binary64)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))))
(+.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 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.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 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))) (*.f64 x #s(literal 1/6 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (+.f64 (*.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 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(+.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 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.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 binary64) eps)))))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/12 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 x (*.f64 eps eps))) (*.f64 #s(literal 1/12 binary64) (/.f64 x (*.f64 eps (*.f64 eps eps)))))) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (+.f64 (*.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 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps))))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
Calls

2 calls:

14.0ms
x
11.0ms
eps
Results
AccuracySegmentsBranch
83.5%2x
77.5%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

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

2 calls:

6.0ms
eps
4.0ms
x
Results
AccuracySegmentsBranch
69.9%2eps
79.4%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

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

2 calls:

3.0ms
eps
3.0ms
x
Results
AccuracySegmentsBranch
49.2%2eps
56.5%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
54.6%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Accuracy

Total -0.5b remaining (-1.4%)

Threshold costs -0.5b (-1.4%)

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

2 calls:

2.0ms
x
1.0ms
eps
Results
AccuracySegmentsBranch
47.0%1eps
47.0%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch27.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
23.0ms
0.0023273058401748806
9.824552897684738
Results
15.0ms128×0valid
3.0ms21×0unsamplable
Compiler

Compiled 412 to 287 computations (30.3% saved)

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

bsearch34.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
30.0ms
1.5669557979279193e-11
0.0004729586745829047
Results
20.0ms144×0valid
4.0ms31×0unsamplable
Compiler

Compiled 261 to 194 computations (25.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 5.0ms (32.6% of total)
ival-div: 3.0ms (19.5% of total)
ival-sub: 2.0ms (13% of total)
ival-add: 2.0ms (13% of total)
ival-exp: 2.0ms (13% of total)
ival-neg: 2.0ms (13% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch31.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
28.0ms
1.5669557979279193e-11
0.0004729586745829047
Results
20.0ms144×0valid
3.0ms23×0unsamplable
Compiler

Compiled 315 to 221 computations (29.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 4.0ms (23.4% of total)
ival-mult: 4.0ms (23.4% of total)
ival-sub: 3.0ms (17.5% of total)
ival-add: 2.0ms (11.7% of total)
ival-exp: 2.0ms (11.7% of total)
ival-neg: 1.0ms (5.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch33.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
29.0ms
1.5669557979279193e-11
0.0004729586745829047
Results
20.0ms144×0valid
4.0ms34×0unsamplable
Compiler

Compiled 297 to 212 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 5.0ms (27.7% of total)
ival-mult: 5.0ms (27.7% of total)
ival-sub: 2.0ms (11.1% of total)
ival-add: 2.0ms (11.1% of total)
ival-exp: 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)

bsearch62.0ms (0.5%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
58.0ms
141.1043293834812
147963.334357443
Results
36.0ms80×0valid
9.0ms33×1valid
8.0ms15×2valid
Compiler

Compiled 244 to 167 computations (31.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-sub: 28.0ms (59.2% of total)
ival-exp: 5.0ms (10.6% of total)
ival-mult: 5.0ms (10.6% of total)
ival-div: 3.0ms (6.3% of total)
ival-neg: 2.0ms (4.2% of total)
ival-add: 2.0ms (4.2% of total)
backward-pass: 1.0ms (2.1% of total)
const: 0.0ms (0% of total)

bsearch118.0ms (0.9%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
63.0ms
5.633339528492566e-15
4.743762529912481e-11
45.0ms
-7.0244944770253964e-12
-1.1160050318999503e-21
Results
45.0ms88×1valid
26.0ms151×0valid
26.0ms49×2valid
Compiler

Compiled 324 to 239 computations (26.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-add: 25.0ms (31.2% of total)
ival-sub: 14.0ms (17.4% of total)
ival-exp: 13.0ms (16.2% of total)
ival-mult: 12.0ms (15% of total)
ival-div: 7.0ms (8.7% of total)
backward-pass: 4.0ms (5% of total)
ival-neg: 4.0ms (5% of total)
const: 1.0ms (1.2% of total)

bsearch51.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
45.0ms
3.423324766636377e-8
141.1043293834812
Results
16.0ms52×1valid
15.0ms29×2valid
9.0ms63×0valid
Compiler

Compiled 180 to 131 computations (27.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-exp: 8.0ms (24.8% of total)
ival-mult: 8.0ms (24.8% of total)
ival-div: 4.0ms (12.4% of total)
ival-sub: 4.0ms (12.4% of total)
ival-add: 3.0ms (9.3% of total)
backward-pass: 2.0ms (6.2% of total)
ival-neg: 2.0ms (6.2% of total)
const: 0.0ms (0% of total)

bsearch37.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
34.0ms
3.4773882192949545e-10
2.9932651304854674e-8
Results
11.0ms22×2valid
11.0ms36×1valid
6.0ms54×0valid
Compiler

Compiled 134 to 100 computations (25.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-exp: 6.0ms (26.1% of total)
ival-mult: 5.0ms (21.7% of total)
ival-div: 4.0ms (17.4% of total)
ival-sub: 3.0ms (13% of total)
backward-pass: 2.0ms (8.7% of total)
ival-neg: 2.0ms (8.7% of total)
ival-add: 2.0ms (8.7% of total)
const: 0.0ms (0% of total)

simplify16.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
56×*-commutative_binary64
48×+-commutative_binary64
30×sub-neg_binary64
22×neg-mul-1_binary64
20×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077193
1121193
2144193
3165193
4184193
5193193
6197193
7198193
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 eps #s(literal 8106479329266893/9007199254740992 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
(if (<=.f64 eps #s(literal 8669969714643489/18446744073709551616 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(if (<=.f64 eps #s(literal 8669969714643489/18446744073709551616 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (*.f64 eps (+.f64 x (/.f64 (+.f64 x #s(literal -2 binary64)) (*.f64 eps eps))))))))
(if (<=.f64 eps #s(literal 8669969714643489/18446744073709551616 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (*.f64 eps (+.f64 x (/.f64 (+.f64 x #s(literal -2 binary64)) (*.f64 eps eps))))))))
(if (<=.f64 x #s(literal 310 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))
(if (<=.f64 x #s(literal -518387391450753/77371252455336267181195264 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) (if (<=.f64 x #s(literal 851083777008699/19342813113834066795298816 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))
(if (<=.f64 x #s(literal 3/4 binary64)) (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(if (<=.f64 x #s(literal 4457913959828945/151115727451828646838272 binary64)) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))
#s(literal 1 binary64)
Outputs
(if (<=.f64 eps #s(literal 8106479329266893/9007199254740992 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
(if (<=.f64 eps #s(literal 8106479329266893/9007199254740992 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps))) (exp.f64 (*.f64 x (+.f64 eps #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)))))
(if (<=.f64 eps #s(literal 8669969714643489/18446744073709551616 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(if (<=.f64 eps #s(literal 8669969714643489/18446744073709551616 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 eps x)))))
(if (<=.f64 eps #s(literal 8669969714643489/18446744073709551616 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (*.f64 eps (+.f64 x (/.f64 (+.f64 x #s(literal -2 binary64)) (*.f64 eps eps))))))))
(if (<=.f64 eps #s(literal 8669969714643489/18446744073709551616 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 eps (*.f64 eps (+.f64 x (/.f64 (+.f64 x #s(literal -2 binary64)) (*.f64 eps eps))))))))
(if (<=.f64 eps #s(literal 8669969714643489/18446744073709551616 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (*.f64 eps (+.f64 x (/.f64 (+.f64 x #s(literal -2 binary64)) (*.f64 eps eps))))))))
(if (<=.f64 eps #s(literal 8669969714643489/18446744073709551616 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 eps (*.f64 eps (+.f64 x (/.f64 (+.f64 x #s(literal -2 binary64)) (*.f64 eps eps))))))))
(if (<=.f64 x #s(literal 310 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 x (*.f64 eps eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))
(if (<=.f64 x #s(literal 310 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 eps eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))
(if (<=.f64 x #s(literal -518387391450753/77371252455336267181195264 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) (if (<=.f64 x #s(literal 851083777008699/19342813113834066795298816 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))
(if (<=.f64 x #s(literal 3/4 binary64)) (-.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(if (<=.f64 x #s(literal 4457913959828945/151115727451828646838272 binary64)) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))
(if (<=.f64 x #s(literal 4457913959828945/151115727451828646838272 binary64)) (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps x)))
#s(literal 1 binary64)

soundness1.8s (14.1%)

Rules
5664×*-lowering-*.f32
5664×*-lowering-*.f64
4706×+-lowering-+.f64
4706×+-lowering-+.f32
3794×*-lowering-*.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01852
112852
2110352
0845052
02561879
18431699
231491569
089961569
07016349
125325774
087715774
036203
1269174
22587172
08512172
01926
15826
216323
354323
4147922
5545022
0824822
03244014
111713724
246003605
085193605
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 610 to 373 computations (38.9% saved)

preprocess70.0ms (0.5%)

Compiler

Compiled 564 to 254 computations (55% saved)

end0.0ms (0%)

Profiling

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