NMSE Section 6.1 mentioned, A

Time bar (total: 15.6s)

analyze44.0ms (0.3%)

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

Compiled 32 to 20 computations (37.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 7.0ms (30.4% of total)
ival-div: 4.0ms (17.4% of total)
ival-sub: 3.0ms (13% of total)
ival-add: 3.0ms (13% of total)
ival-exp: 3.0ms (13% of total)
ival-neg: 2.0ms (8.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample3.0s (19.5%)

Results
976.0ms5954×0valid
942.0ms953×2valid
487.0ms1349×1valid
146.0ms965×0unsamplable
Precisions
Click to see histograms. Total time spent on operations: 2.0s
ival-sub: 522.0ms (25.8% of total)
ival-mult: 412.0ms (20.3% of total)
ival-exp: 360.0ms (17.8% of total)
ival-div: 246.0ms (12.1% of total)
ival-neg: 175.0ms (8.6% of total)
ival-add: 167.0ms (8.2% of total)
backward-pass: 122.0ms (6% of total)
const: 21.0ms (1% of total)
Bogosity

preprocess234.0ms (1.5%)

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)

explain299.0ms (1.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
661(2.96034073205294e-32 4.161924298645303e-16)0-(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
00-0-x
00-0-(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
00-0-(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
00-0-#s(literal 2 binary64)
00-0-(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))
00-0-(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))
00-0-(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
00-0-eps
00-0-(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
00-0-(/.f64 #s(literal 1 binary64) eps)
00-0-(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
00-0-(+.f64 #s(literal 1 binary64) eps)
00-0-(-.f64 #s(literal 1 binary64) eps)
00-0-(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))
00-0-#s(literal 1 binary64)
00-0-(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
00-0-(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
00-0-(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Results
94.0ms378×0valid
66.0ms64×2valid
40.0ms70×1valid
Compiler

Compiled 319 to 59 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 100.0ms
ival-exp: 26.0ms (26.1% of total)
ival-mult: 26.0ms (26.1% of total)
ival-div: 11.0ms (11.1% of total)
ival-sub: 11.0ms (11.1% of total)
backward-pass: 10.0ms (10% of total)
ival-neg: 7.0ms (7% of total)
ival-add: 7.0ms (7% of total)
const: 1.0ms (1% of total)

eval0.0ms (0%)

Compiler

Compiled 27 to 18 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶75.0%
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (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)

simplify165.0ms (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)

localize132.0ms (0.8%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))
✓accuracy100.0%
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
✓accuracy100.0%
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
✓accuracy75.0%
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
Results
42.0ms189×0valid
40.0ms33×2valid
18.0ms34×1valid
Compiler

Compiled 101 to 19 computations (81.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
backward-pass: 16.0ms (29.2% of total)
ival-exp: 11.0ms (20.1% of total)
ival-mult: 10.0ms (18.3% of total)
ival-sub: 7.0ms (12.8% of total)
ival-div: 5.0ms (9.1% of total)
ival-add: 5.0ms (9.1% of total)
const: 1.0ms (1.8% of total)

series45.0ms (0.3%)

Counts
5 → 120
Calls
Call 1
Inputs
#<alt (- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))>
#<alt (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps)))>
#<alt (exp (* x (+ eps -1)))>
#<alt (* x (+ eps -1))>
#<alt (exp (* x (- -1 eps)))>
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>
#<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)))>
Calls

30 calls:

TimeVariablePointExpression
34.0ms
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)))

rewrite349.0ms (2.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01853
112853
2110853
0852353
Stop Event
1×iter limit
1×node limit
Counts
5 → 218
Calls
Call 1
Inputs
(- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps)))
(exp (* x (+ eps -1)))
(* x (+ eps -1))
(exp (* x (- -1 eps)))
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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(+.f64 (*.f64 x eps) (-.f64 #s(literal 0 binary64) x))
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(fma.f64 x #s(literal -1 binary64) (*.f64 x eps))
(fma.f64 eps x (-.f64 #s(literal 0 binary64) x))
(fma.f64 #s(literal -1 binary64) x (*.f64 x eps))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 eps #s(literal -1 binary64))))
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(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (*.f64 x (-.f64 #s(literal 0 binary64) eps))))
(*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) eps) x)))
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal 0 binary64) eps))) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 eps #s(literal 2 binary64))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 eps #s(literal 2 binary64))))))

simplify488.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
4718×*-lowering-*.f32
4718×*-lowering-*.f64
4180×+-lowering-+.f64
4180×+-lowering-+.f32
1928×sum5-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02761965
19151745
234911652
095191652
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
Calls
Call 1
Inputs
1
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1
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(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* -1 x)
(+ (* -1 x) (* eps x))
(+ (* -1 x) (* eps x))
(+ (* -1 x) (* eps x))
(* eps x)
(* eps (+ x (* -1 (/ x eps))))
(* eps (+ x (* -1 (/ x eps))))
(* eps (+ x (* -1 (/ x eps))))
(* eps x)
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
1
(+ 1 (* -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)))
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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(+ 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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(- (* (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 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(- (* (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 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(- (* (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 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(- (* (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 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(- (* (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 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(- (* (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 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(- (* (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 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(- (* (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 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(- (+ (* 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 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (*.f64 eps eps) (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))))))
(- (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/240 (* (pow x 5) (exp (* -1 x)))) (* 1/48 (* (pow x 4) (exp (* -1 x))))) (+ (* -1/48 (* (pow x 4) (exp (* -1 x)))) (* -1/240 (* (pow x 5) (exp (* -1 x))))))))) (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x))))))
(+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 eps (*.f64 eps (+.f64 (+.f64 (*.f64 (*.f64 eps eps) (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 #s(literal 1/240 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 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))))))))
(- (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/240 (* (pow x 5) (exp (* -1 x)))) (+ (* 1/48 (* (pow x 4) (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/10080 (* (pow x 7) (exp (* -1 x)))) (* 1/1440 (* (pow x 6) (exp (* -1 x))))) (+ (* -1/1440 (* (pow x 6) (exp (* -1 x)))) (* -1/10080 (* (pow x 7) (exp (* -1 x))))))))) (+ (* -1/48 (* (pow x 4) (exp (* -1 x)))) (* -1/240 (* (pow x 5) (exp (* -1 x))))))))) (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x))))))
(+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))) (*.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 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))))))
(- (* 1/2 (exp (* x (- eps 1)))) (* -1/2 (exp (* -1 (* x (+ 1 eps))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(- (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps))) (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps))))
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal -1/2 binary64) eps))))
(- (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps))) (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps))))
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal -1/2 binary64) eps))))
(- (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps))) (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps))))
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal -1/2 binary64) eps))))
(- (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(- (+ (* -1 (/ (- (* -1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) eps)) (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) eps))
(- (+ (* -1 (/ (- (* -1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) eps)) (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) eps))
(- (+ (* -1 (/ (- (* -1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) eps)) (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) eps))
(+ 1/2 (* 1/2 (/ 1 eps)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
(+ 1/2 (+ (* 1/2 (/ 1 eps)) (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(+ 1/2 (+ (* 1/2 (/ 1 eps)) (* x (+ (* 1/2 (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))))))
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1
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(exp (* -1 (* x (+ 1 eps))))
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(exp (* x (- (* -1 eps) 1)))
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(exp (* x (- (* -1 eps) 1)))
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(exp (* x (- (* -1 eps) 1)))
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eval44.0ms (0.3%)

Compiler

Compiled 19097 to 1109 computations (94.2% saved)

prune46.0ms (0.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New32612338
Fresh000
Picked101
Done000
Total32712339
Accuracy
100.0%
Counts
339 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.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 (pow.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)))) #s(literal 2 binary64)) (pow.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)))) #s(literal 2 binary64)))))
▶40.4%
(-.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))))
75.0%
(-.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 x (/.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
33.7%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
▶57.2%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
75.0%
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (*.f64 x eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
39.7%
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
78.9%
(+.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 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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
▶41.2%
(+.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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
55.8%
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
▶99.2%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
▶44.0%
#s(literal 1 binary64)
Compiler

Compiled 988 to 468 computations (52.6% saved)

simplify223.0ms (1.4%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))))
✓cost-diff128
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))))))
✓cost-diff128
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))
✓cost-diff128
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
✓cost-diff0
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) eps)
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
✓cost-diff0
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
✓cost-diff0
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))
✓cost-diff0
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
✓cost-diff0
(*.f64 x (+.f64 (*.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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
✓cost-diff0
(+.f64 #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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
✓cost-diff0
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
✓cost-diff0
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
✓cost-diff0
(+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Rules
2594×*-lowering-*.f32
2594×*-lowering-*.f64
2504×+-lowering-+.f64
2504×+-lowering-+.f32
1832×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
051974
1201934
21010903
08101903
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* 1/2 (+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps)))))
1/2
(+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps))))
(exp (* x (+ eps -1)))
(* x (+ eps -1))
x
(+ eps -1)
eps
-1
(exp (* x (- -1 eps)))
(* x (- -1 eps))
(- -1 eps)
1
(+ 1 (* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (+ (* x (+ (* x (* 1/6 (+ (* (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps))))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))))
1
(* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (+ (* x (+ (* x (* 1/6 (+ (* (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps))))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))
x
(+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (+ (* x (+ (* x (* 1/6 (+ (* (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps))))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))
(* (+ 1/2 (/ 1/2 eps)) (+ eps -1))
(+ 1/2 (/ 1/2 eps))
1/2
(/ 1/2 eps)
eps
(+ eps -1)
-1
(+ (* x (+ (* x (* 1/6 (+ (* (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps))))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))
(* x (+ (* x (* 1/6 (+ (* (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps)))))))
(+ (* x (* 1/6 (+ (* (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps))))))
(* x (* 1/6 (+ (* (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))))
(* 1/6 (+ (* (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))
1/6
(+ (* (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))
(* (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ eps -1) (+ eps -1)))
(* (+ eps -1) (+ eps -1))
(* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))
(* (+ 1 eps) (+ 1 eps))
(+ 1 eps)
(* (+ 1 eps) (+ (/ 1/2 eps) -1/2))
(+ (/ 1/2 eps) -1/2)
-1/2
(* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps)))))
(+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps))))
(* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1)))
(* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps)))
(* (+ (/ 1/2 eps) -1/2) (- -1 eps))
(- -1 eps)
(- (+ 1/2 (/ 1/2 eps)) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(+ 1/2 (/ 1/2 eps))
1/2
(/ 1/2 eps)
eps
(* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))
(exp (* x (- -1 eps)))
(* x (- -1 eps))
x
(- -1 eps)
-1
(+ (/ 1/2 eps) -1/2)
-1/2
(- (* (+ 1 (* x (+ -1 (+ eps (* x (* 1/2 (* (+ eps -1) (+ eps -1)))))))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(* (+ 1 (* x (+ -1 (+ eps (* x (* 1/2 (* (+ eps -1) (+ eps -1)))))))) (- 1/2 (/ -1/2 eps)))
(+ 1 (* x (+ -1 (+ eps (* x (* 1/2 (* (+ eps -1) (+ eps -1))))))))
1
(* x (+ -1 (+ eps (* x (* 1/2 (* (+ eps -1) (+ eps -1)))))))
x
(+ -1 (+ eps (* x (* 1/2 (* (+ eps -1) (+ eps -1))))))
-1
(+ eps (* x (* 1/2 (* (+ eps -1) (+ eps -1)))))
eps
(* x (* 1/2 (* (+ eps -1) (+ eps -1))))
(* 1/2 (* (+ eps -1) (+ eps -1)))
1/2
(* (+ eps -1) (+ eps -1))
(+ eps -1)
(- 1/2 (/ -1/2 eps))
(/ -1/2 eps)
-1/2
(* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))
(exp (* x (- -1 eps)))
(* x (- -1 eps))
(- -1 eps)
(+ (/ 1/2 eps) -1/2)
(/ 1/2 eps)
Outputs
(* 1/2 (+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
1/2
#s(literal 1/2 binary64)
(+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps))))
(+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(exp (* x (+ eps -1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(* x (+ eps -1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
x
(+ eps -1)
(+.f64 eps #s(literal -1 binary64))
eps
-1
#s(literal -1 binary64)
(exp (* x (- -1 eps)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(* x (- -1 eps))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
1
#s(literal 1 binary64)
(+ 1 (* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (+ (* x (+ (* x (* 1/6 (+ (* (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps))))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))))) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))))
1
#s(literal 1 binary64)
(* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (+ (* x (+ (* x (* 1/6 (+ (* (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps))))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))
(*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))))) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))
x
(+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (+ (* x (+ (* x (* 1/6 (+ (* (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps))))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))))) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))
(* (+ 1/2 (/ 1/2 eps)) (+ eps -1))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))
(+ 1/2 (/ 1/2 eps))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))
1/2
#s(literal 1/2 binary64)
(/ 1/2 eps)
(/.f64 #s(literal 1/2 binary64) eps)
eps
(+ eps -1)
(+.f64 eps #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(+ (* x (+ (* x (* 1/6 (+ (* (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps))))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))
(+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))))))
(* x (+ (* x (* 1/6 (+ (* (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps)))))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))))
(+ (* x (* 1/6 (+ (* (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps))))))
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))))
(* x (* 1/6 (+ (* (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))))
(* 1/6 (+ (* (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))
(*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))
1/6
#s(literal 1/6 binary64)
(+ (* (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))
(+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))
(* (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ eps -1) (+ eps -1)))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))
(* (+ eps -1) (+ eps -1))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))
(* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))
(* (+ 1 eps) (+ 1 eps))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))
(+ 1 eps)
(+.f64 eps #s(literal 1 binary64))
(* (+ 1 eps) (+ (/ 1/2 eps) -1/2))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))
(+ (/ 1/2 eps) -1/2)
(-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))
-1/2
#s(literal -1/2 binary64)
(* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))
(+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps))))
(+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))
(* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1)))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))
(* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps)))
(*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))
(* (+ (/ 1/2 eps) -1/2) (- -1 eps))
(*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
(- (+ 1/2 (/ 1/2 eps)) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(+.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))
(+ 1/2 (/ 1/2 eps))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))
1/2
#s(literal 1/2 binary64)
(/ 1/2 eps)
(/.f64 #s(literal 1/2 binary64) eps)
eps
(* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))
(exp (* x (- -1 eps)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(* x (- -1 eps))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
x
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
-1
#s(literal -1 binary64)
(+ (/ 1/2 eps) -1/2)
(-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))
-1/2
#s(literal -1/2 binary64)
(- (* (+ 1 (* x (+ -1 (+ eps (* x (* 1/2 (* (+ eps -1) (+ eps -1)))))))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)) (+.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))))
(* (+ 1 (* x (+ -1 (+ eps (* x (* 1/2 (* (+ eps -1) (+ eps -1)))))))) (- 1/2 (/ -1/2 eps)))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)) (+.f64 eps #s(literal -1 binary64))))))
(+ 1 (* x (+ -1 (+ eps (* x (* 1/2 (* (+ eps -1) (+ eps -1))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)) (+.f64 eps #s(literal -1 binary64)))))
1
#s(literal 1 binary64)
(* x (+ -1 (+ eps (* x (* 1/2 (* (+ eps -1) (+ eps -1)))))))
(*.f64 x (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)) (+.f64 eps #s(literal -1 binary64))))
x
(+ -1 (+ eps (* x (* 1/2 (* (+ eps -1) (+ eps -1))))))
(*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)) (+.f64 eps #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(+ eps (* x (* 1/2 (* (+ eps -1) (+ eps -1)))))
(+.f64 eps (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
eps
(* x (* 1/2 (* (+ eps -1) (+ eps -1))))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(* 1/2 (* (+ eps -1) (+ eps -1)))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))
1/2
#s(literal 1/2 binary64)
(* (+ eps -1) (+ eps -1))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))
(+ eps -1)
(+.f64 eps #s(literal -1 binary64))
(- 1/2 (/ -1/2 eps))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))
(/ -1/2 eps)
(/.f64 #s(literal -1/2 binary64) eps)
-1/2
#s(literal -1/2 binary64)
(* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))
(exp (* x (- -1 eps)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(* x (- -1 eps))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
(+ (/ 1/2 eps) -1/2)
(-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))
(/ 1/2 eps)
(/.f64 #s(literal 1/2 binary64) eps)

localize819.0ms (5.3%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))
✓accuracy97.0%
(*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))))
✓accuracy93.3%
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))
✓accuracy75.4%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (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 (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%
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
✓accuracy75.9%
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
✓accuracy87.7%
(+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 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 #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))))))
✓accuracy63.3%
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))
✓accuracy56.5%
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
✓accuracy4.9%
(+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 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)))))
✓accuracy100.0%
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
✓accuracy100.0%
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
✓accuracy100.0%
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
✓accuracy100.0%
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
Results
431.0ms198×1valid
144.0ms49×2valid
11.0ms3×3valid
4.0ms6×0valid
Compiler

Compiled 1128 to 52 computations (95.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 270.0ms
ival-mult: 102.0ms (37.8% of total)
ival-add: 60.0ms (22.3% of total)
backward-pass: 59.0ms (21.9% of total)
ival-sub: 13.0ms (4.8% of total)
...c/correct-round.rkt:119:19: 13.0ms (4.8% of total)
ival-exp: 11.0ms (4.1% of total)
ival-div: 10.0ms (3.7% of total)
const: 2.0ms (0.7% of total)

series61.0ms (0.4%)

Counts
22 → 468
Calls
Call 1
Inputs
#<alt (* 1/2 (+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps)))))>
#<alt (+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps))))>
#<alt (exp (* x (+ eps -1)))>
#<alt (* x (+ eps -1))>
#<alt (+ 1 (* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (+ (* x (+ (* x (* 1/6 (+ (* (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps))))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))))>
#<alt (* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (+ (* x (+ (* x (* 1/6 (+ (* (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps))))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))>
#<alt (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (+ (* x (+ (* x (* 1/6 (+ (* (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps))))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))>
#<alt (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))>
#<alt (- (+ 1/2 (/ 1/2 eps)) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))>
#<alt (+ 1/2 (/ 1/2 eps))>
#<alt (/ 1/2 eps)>
#<alt (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))>
#<alt (- (* (+ 1 (* x (+ -1 (+ eps (* x (* 1/2 (* (+ eps -1) (+ eps -1)))))))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))>
#<alt (* (+ 1 (* x (+ -1 (+ eps (* x (* 1/2 (* (+ eps -1) (+ eps -1)))))))) (- 1/2 (/ -1/2 eps)))>
#<alt (+ 1 (* x (+ -1 (+ eps (* x (* 1/2 (* (+ eps -1) (+ eps -1))))))))>
#<alt (* x (+ -1 (+ eps (* x (* 1/2 (* (+ eps -1) (+ eps -1)))))))>
#<alt (exp (* x (- -1 eps)))>
#<alt (* x (- -1 eps))>
#<alt (+ (* (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))>
#<alt (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps))))>
#<alt (+ (* x (* 1/6 (+ (* (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps))))))>
#<alt (* x (* 1/2 (* (+ eps -1) (+ eps -1))))>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))>
#<alt (+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)))))>
#<alt (+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (exp (* -1 x))>
#<alt (+ (exp (* -1 x)) (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))>
#<alt 2>
#<alt (+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))>
#<alt (+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1)))>
#<alt (+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- eps 1) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))))) 1)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (* 2 (exp (* -1 x)))>
#<alt (+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))>
#<alt (+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x)))))))>
#<alt (+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x)))))) (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x)))))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))>
#<alt 1>
#<alt (+ 1 (* x (- eps 1)))>
#<alt (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))>
#<alt (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* -1 x))>
#<alt (+ (exp (* -1 x)) (* eps (* x (exp (* -1 x)))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x))))))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* -1 (* x (+ 1 (* -1 eps)))))>
#<alt (exp (* -1 (* x (+ 1 (* -1 eps)))))>
#<alt (exp (* -1 (* x (+ 1 (* -1 eps)))))>
#<alt (exp (* -1 (* x (+ 1 (* -1 eps)))))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* eps x))>
#<alt (+ (* -1 x) (* eps x))>
#<alt (+ (* -1 x) (* eps x))>
#<alt (* eps x)>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps x)>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt 1>
#<alt (+ 1 (* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))))>
#<alt (+ 1 (* x (+ (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))>
#<alt (+ 1 (* x (+ (* x (+ (* 1/6 (* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))) (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))>
#<alt (* 1/6 (* (pow x 3) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))>
#<alt (* (pow x 3) (+ (* 1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))) (* 1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x))))>
#<alt (* (pow x 3) (+ (* 1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))) (+ (* 1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x)) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (pow x 2)) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (pow x 2))))))>
#<alt (* (pow x 3) (+ (* 1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))) (+ (* 1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x)) (+ (/ 1 (pow x 3)) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (pow x 2)) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (pow x 2)))))))>
#<alt (* 1/6 (* (pow x 3) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 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)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x))) x)) (* -1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))) (/ 1 x)) x)) (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 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)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))))>
#<alt (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))>
#<alt (+ 1 (+ (* (pow eps 2) (* (pow x 2) (+ 1/2 (* -1/3 x)))) (* (pow x 2) (- (* 1/3 x) 1/2))))>
#<alt (+ 1 (+ (* (pow eps 2) (* (pow x 2) (+ 1/2 (* -1/3 x)))) (* (pow x 2) (- (* 1/3 x) 1/2))))>
#<alt (+ 1 (+ (* (pow eps 2) (* (pow x 2) (+ 1/2 (* -1/3 x)))) (* (pow x 2) (- (* 1/3 x) 1/2))))>
#<alt (* (pow eps 2) (* (pow x 2) (+ 1/2 (* -1/3 x))))>
#<alt (* (pow eps 2) (+ (* (pow x 2) (+ 1/2 (* -1/3 x))) (+ (/ 1 (pow eps 2)) (/ (* (pow x 2) (- (* 1/3 x) 1/2)) (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* (pow x 2) (+ 1/2 (* -1/3 x))) (+ (/ 1 (pow eps 2)) (/ (* (pow x 2) (- (* 1/3 x) 1/2)) (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* (pow x 2) (+ 1/2 (* -1/3 x))) (+ (/ 1 (pow eps 2)) (/ (* (pow x 2) (- (* 1/3 x) 1/2)) (pow eps 2)))))>
#<alt (* (pow eps 2) (* (pow x 2) (+ 1/2 (* -1/3 x))))>
#<alt (* (pow eps 2) (+ (* (pow x 2) (+ 1/2 (* -1/3 x))) (+ (/ 1 (pow eps 2)) (/ (* (pow x 2) (- (* 1/3 x) 1/2)) (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* (pow x 2) (+ 1/2 (* -1/3 x))) (+ (/ 1 (pow eps 2)) (/ (* (pow x 2) (- (* 1/3 x) 1/2)) (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* (pow x 2) (+ 1/2 (* -1/3 x))) (+ (/ 1 (pow eps 2)) (/ (* (pow x 2) (- (* 1/3 x) 1/2)) (pow eps 2)))))>
#<alt (* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))>
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#<alt (* 1/2 (* x (pow (- eps 1) 2)))>
#<alt (* 1/2 (* x (pow (- eps 1) 2)))>
#<alt (* 1/2 (* x (pow (- eps 1) 2)))>
#<alt (* 1/2 (* x (pow (- eps 1) 2)))>
#<alt (* 1/2 (* x (pow (- eps 1) 2)))>
#<alt (* 1/2 (* x (pow (- eps 1) 2)))>
#<alt (* 1/2 x)>
#<alt (+ (* -1 (* eps x)) (* 1/2 x))>
#<alt (+ (* 1/2 x) (* eps (+ (* -1 x) (* 1/2 (* eps x)))))>
#<alt (+ (* 1/2 x) (* eps (+ (* -1 x) (* 1/2 (* eps x)))))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1 (/ x eps)) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ x eps)) (+ (* 1/2 x) (* 1/2 (/ x (pow eps 2))))))>
#<alt (* (pow eps 2) (+ (* -1 (/ x eps)) (+ (* 1/2 x) (* 1/2 (/ x (pow eps 2))))))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1 (/ x eps)) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ x (* -1/2 (/ x eps))) eps)) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ x (* -1/2 (/ x eps))) eps)) (* 1/2 x)))>
Calls

117 calls:

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

rewrite418.0ms (2.7%)

Algorithm
1×batch-egg-rewrite
Rules
2956×*-lowering-*.f32
2956×*-lowering-*.f64
1718×sum5-define
1710×fma-lowering-fma.f32
1710×fma-lowering-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051536
1420497
25199497
08023497
Stop Event
1×iter limit
1×node limit
Counts
22 → 392
Calls
Call 1
Inputs
(* 1/2 (+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps)))))
(+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps))))
(exp (* x (+ eps -1)))
(* x (+ eps -1))
(+ 1 (* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (+ (* x (+ (* x (* 1/6 (+ (* (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps))))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))))
(* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (+ (* x (+ (* x (* 1/6 (+ (* (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps))))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))
(+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (+ (* x (+ (* x (* 1/6 (+ (* (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps))))))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))
(* (+ 1/2 (/ 1/2 eps)) (+ eps -1))
(- (+ 1/2 (/ 1/2 eps)) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(+ 1/2 (/ 1/2 eps))
(/ 1/2 eps)
(* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))
(- (* (+ 1 (* x (+ -1 (+ eps (* x (* 1/2 (* (+ eps -1) (+ eps -1)))))))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(* (+ 1 (* x (+ -1 (+ eps (* x (* 1/2 (* (+ eps -1) (+ eps -1)))))))) (- 1/2 (/ -1/2 eps)))
(+ 1 (* x (+ -1 (+ eps (* x (* 1/2 (* (+ eps -1) (+ eps -1))))))))
(* x (+ -1 (+ eps (* x (* 1/2 (* (+ eps -1) (+ eps -1)))))))
(exp (* x (- -1 eps)))
(* x (- -1 eps))
(+ (* (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))
(+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps))))
(+ (* x (* 1/6 (+ (* (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (+ 1 eps) (* (+ (/ 1/2 eps) -1/2) (- -1 eps))))))
(* x (* 1/2 (* (+ eps -1) (+ eps -1))))
Outputs
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (-.f64 (+.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (-.f64 (+.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64))
(+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(-.f64 (/.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (-.f64 (+.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (neg.f64 (-.f64 (+.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (neg.f64 (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) (-.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(*.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) (+.f64 eps #s(literal -1 binary64))))
(pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))
(pow.f64 (exp.f64 (+.f64 eps #s(literal -1 binary64))) x)
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) eps))
(*.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) #s(literal -1 binary64)))
(*.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 x)))
(*.f64 (pow.f64 (exp.f64 x) (/.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64))))
(+.f64 (*.f64 x eps) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 x eps))
(-.f64 (*.f64 x eps) x)
(fma.f64 x eps (neg.f64 x))
(fma.f64 eps x (neg.f64 x))
(/.f64 (+.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x eps) (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x eps) (neg.f64 x)))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps))))
(/.f64 (*.f64 x (+.f64 (*.f64 eps eps) #s(literal -1 binary64))) (+.f64 eps #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps))))
(/.f64 (*.f64 (+.f64 (*.f64 eps eps) #s(literal -1 binary64)) x) (+.f64 eps #s(literal 1 binary64)))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(*.f64 (+.f64 eps #s(literal -1 binary64)) x)
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(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) x)
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(*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(*.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64))
(*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))) (+.f64 eps #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 eps #s(literal -1 binary64))) (+.f64 eps #s(literal -1 binary64)))

simplify478.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
6210×*-lowering-*.f32
6210×*-lowering-*.f64
5654×+-lowering-+.f64
5654×+-lowering-+.f32
1180×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
07029492
125678429
091258429
Stop Event
1×iter limit
1×node limit
Counts
468 → 468
Calls
Call 1
Inputs
1
(+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)))))
(+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(exp (* -1 x))
(+ (exp (* -1 x)) (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))))
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))))
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
2
(+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1)))
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(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(* 2 (exp (* -1 x)))
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x)))))))
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x)))))) (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x)))))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))
1
(+ 1 (* x (- eps 1)))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* -1 x))
(+ (exp (* -1 x)) (* eps (* x (exp (* -1 x)))))
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))
(+ (exp (* -1 x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x))))))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* -1 x)
(+ (* -1 x) (* eps x))
(+ (* -1 x) (* eps x))
(+ (* -1 x) (* eps x))
(* eps x)
(* eps (+ x (* -1 (/ x eps))))
(* eps (+ x (* -1 (/ x eps))))
(* eps (+ x (* -1 (/ x eps))))
(* eps x)
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
1
(+ 1 (* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))))
(+ 1 (* x (+ (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))
(+ 1 (* x (+ (* x (+ (* 1/6 (* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))) (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))
(* 1/6 (* (pow x 3) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))
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(* (pow eps 2) (+ 1/2 (* -1/3 x)))
(* (pow eps 2) (- (+ 1/2 (+ (* -1/3 x) (* 1/3 (/ x (pow eps 2))))) (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- (+ 1/2 (+ (* -1/3 x) (* 1/3 (/ x (pow eps 2))))) (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- (+ 1/2 (+ (* -1/3 x) (* 1/3 (/ x (pow eps 2))))) (* 1/2 (/ 1 (pow eps 2)))))
(* 1/2 (* x (pow (- eps 1) 2)))
(* 1/2 (* x (pow (- eps 1) 2)))
(* 1/2 (* x (pow (- eps 1) 2)))
(* 1/2 (* x (pow (- eps 1) 2)))
(* 1/2 (* x (pow (- eps 1) 2)))
(* 1/2 (* x (pow (- eps 1) 2)))
(* 1/2 (* x (pow (- eps 1) 2)))
(* 1/2 (* x (pow (- eps 1) 2)))
(* 1/2 (* x (pow (- eps 1) 2)))
(* 1/2 (* x (pow (- eps 1) 2)))
(* 1/2 (* x (pow (- eps 1) 2)))
(* 1/2 (* x (pow (- eps 1) 2)))
(* 1/2 x)
(+ (* -1 (* eps x)) (* 1/2 x))
(+ (* 1/2 x) (* eps (+ (* -1 x) (* 1/2 (* eps x)))))
(+ (* 1/2 x) (* eps (+ (* -1 x) (* 1/2 (* eps x)))))
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1 (/ x eps)) (* 1/2 x)))
(* (pow eps 2) (+ (* -1 (/ x eps)) (+ (* 1/2 x) (* 1/2 (/ x (pow eps 2))))))
(* (pow eps 2) (+ (* -1 (/ x eps)) (+ (* 1/2 x) (* 1/2 (/ x (pow eps 2))))))
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1 (/ x eps)) (* 1/2 x)))
(* (pow eps 2) (+ (* -1 (/ (+ x (* -1/2 (/ x eps))) eps)) (* 1/2 x)))
(* (pow eps 2) (+ (* -1 (/ (+ x (* -1/2 (/ x eps))) eps)) (* 1/2 x)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) x)))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))))))
(+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps))) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))) (*.f64 (*.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)))))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(+ (exp (* -1 x)) (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))))
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 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 (*.f64 #s(literal 1/2 binary64) 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)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))))
2
#s(literal 2 binary64)
(+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))
(+.f64 (*.f64 x (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1)))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))))))
(+ 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)))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))) (*.f64 (*.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 eps #s(literal -1 binary64)))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(* 2 (exp (* -1 x)))
(*.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))
(+.f64 (*.f64 eps #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x)))))))
(+.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 eps (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 x (*.f64 x eps))) #s(literal 0 binary64))))
(+ (* 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)))))))
(+.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 eps (+.f64 (*.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))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))))
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))))
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))))
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))))
1
#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 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 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 (+.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 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 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 x (*.f64 x eps))) (*.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 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/6 binary64) eps))) (*.f64 eps eps)) (*.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 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))
(* 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)))
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(* 1/6 (* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))
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(* -1 (* x (+ (* -1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 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)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 (/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) x) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.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))))))))
(* -1 (* x (+ (* -1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 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)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 (/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) x) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.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))))))))
(- (* 1/3 x) 1/2)
(+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
(- (+ (* 1/3 x) (* (pow eps 2) (+ 1/2 (* -1/3 x)))) 1/2)
(+.f64 (*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))
(- (+ (* 1/3 x) (* (pow eps 2) (+ 1/2 (* -1/3 x)))) 1/2)
(+.f64 (*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))
(- (+ (* 1/3 x) (* (pow eps 2) (+ 1/2 (* -1/3 x)))) 1/2)
(+.f64 (*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))
(* (pow eps 2) (+ 1/2 (* -1/3 x)))
(*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))
(* (pow eps 2) (- (+ 1/2 (+ (* -1/3 x) (* 1/3 (/ x (pow eps 2))))) (* 1/2 (/ 1 (pow eps 2)))))
(*.f64 (*.f64 eps eps) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 eps eps))))
(* (pow eps 2) (- (+ 1/2 (+ (* -1/3 x) (* 1/3 (/ x (pow eps 2))))) (* 1/2 (/ 1 (pow eps 2)))))
(*.f64 (*.f64 eps eps) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 eps eps))))
(* (pow eps 2) (- (+ 1/2 (+ (* -1/3 x) (* 1/3 (/ x (pow eps 2))))) (* 1/2 (/ 1 (pow eps 2)))))
(*.f64 (*.f64 eps eps) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 eps eps))))
(* (pow eps 2) (+ 1/2 (* -1/3 x)))
(*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))
(* (pow eps 2) (- (+ 1/2 (+ (* -1/3 x) (* 1/3 (/ x (pow eps 2))))) (* 1/2 (/ 1 (pow eps 2)))))
(*.f64 (*.f64 eps eps) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 eps eps))))
(* (pow eps 2) (- (+ 1/2 (+ (* -1/3 x) (* 1/3 (/ x (pow eps 2))))) (* 1/2 (/ 1 (pow eps 2)))))
(*.f64 (*.f64 eps eps) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 eps eps))))
(* (pow eps 2) (- (+ 1/2 (+ (* -1/3 x) (* 1/3 (/ x (pow eps 2))))) (* 1/2 (/ 1 (pow eps 2)))))
(*.f64 (*.f64 eps eps) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 eps eps))))
(* 1/2 (* x (pow (- eps 1) 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(* 1/2 (* x (pow (- eps 1) 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(* 1/2 (* x (pow (- eps 1) 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(* 1/2 (* x (pow (- eps 1) 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(* 1/2 (* x (pow (- eps 1) 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(* 1/2 (* x (pow (- eps 1) 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(* 1/2 (* x (pow (- eps 1) 2)))
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(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
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(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
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(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(* 1/2 x)
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(+ (* -1 (* eps x)) (* 1/2 x))
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(+ (* 1/2 x) (* eps (+ (* -1 x) (* 1/2 (* eps x)))))
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(+ (* 1/2 x) (* eps (+ (* -1 x) (* 1/2 (* eps x)))))
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(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps)))
(* (pow eps 2) (+ (* -1 (/ x eps)) (* 1/2 x)))
(*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x eps)))
(* (pow eps 2) (+ (* -1 (/ x eps)) (+ (* 1/2 x) (* 1/2 (/ x (pow eps 2))))))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 x (*.f64 eps eps)))) (/.f64 x eps))))
(* (pow eps 2) (+ (* -1 (/ x eps)) (+ (* 1/2 x) (* 1/2 (/ x (pow eps 2))))))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 x (*.f64 eps eps)))) (/.f64 x eps))))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps)))
(* (pow eps 2) (+ (* -1 (/ x eps)) (* 1/2 x)))
(*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 x eps)))
(* (pow eps 2) (+ (* -1 (/ (+ x (* -1/2 (/ x eps))) eps)) (* 1/2 x)))
(*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 x (/.f64 (*.f64 #s(literal -1/2 binary64) x) eps)) eps)))
(* (pow eps 2) (+ (* -1 (/ (+ x (* -1/2 (/ x eps))) eps)) (* 1/2 x)))
(*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 x (/.f64 (*.f64 #s(literal -1/2 binary64) x) eps)) eps)))

eval284.0ms (1.8%)

Compiler

Compiled 95607 to 4720 computations (95.1% saved)

prune192.0ms (1.2%)

Pruning

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New1389231412
Fresh437
Picked415
Done000
Total1397271424
Accuracy
100.0%
Counts
1424 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
43.0%
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))))
27.2%
(-.f64 (/.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))))
31.2%
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
31.1%
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
53.5%
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
75.0%
(-.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 x (/.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
31.8%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
75.0%
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (*.f64 x eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
35.2%
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
▶61.5%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))))
56.5%
(+.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 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (/.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 #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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
75.6%
(+.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) #s(literal 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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
▶40.7%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
47.4%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 eps eps)))))))
53.5%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))
63.4%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))))
78.5%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))))))
64.8%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
55.8%
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
38.8%
(*.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
26.5%
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))
▶35.9%
(*.f64 eps (*.f64 eps (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))
63.0%
(*.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 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))) #s(literal -1 binary64))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
▶64.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)))
▶87.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
70.3%
(exp.f64 (-.f64 #s(literal 0 binary64) x))
✓44.0%
#s(literal 1 binary64)
Compiler

Compiled 1605 to 853 computations (46.9% saved)

simplify183.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 20 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)))) #s(literal 1 binary64))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)))
✓cost-diff896
(*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) #s(literal -1/2 binary64))))
✓cost-diff896
(+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
✓cost-diff896
(*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
✓cost-diff896
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
✓cost-diff0
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))
✓cost-diff0
(*.f64 eps eps)
✓cost-diff0
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) #s(literal 1/4 binary64))
✓cost-diff0
(*.f64 eps (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
✓cost-diff0
(*.f64 eps (*.f64 eps (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))
✓cost-diff0
(*.f64 x eps)
✓cost-diff0
(exp.f64 (*.f64 x eps))
✓cost-diff0
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Rules
3492×+-lowering-+.f64
3492×+-lowering-+.f32
2524×*-lowering-*.f32
2524×*-lowering-*.f64
1590×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048424
1166416
2645387
33944363
08151363
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* 1/2 (+ (exp (* x eps)) (exp (* x (- -1 eps)))))
1/2
(+ (exp (* x eps)) (exp (* x (- -1 eps))))
(exp (* x eps))
(* x eps)
x
eps
(exp (* x (- -1 eps)))
(* x (- -1 eps))
(- -1 eps)
-1
(* eps (* eps (* (* x x) 1/4)))
eps
(* eps (* (* x x) 1/4))
(* (* x x) 1/4)
(* x x)
x
1/4
(+ 1 (* (* eps eps) (* x (* x (+ 1/2 (* x -1/3))))))
1
(* (* eps eps) (* x (* x (+ 1/2 (* x -1/3)))))
(* eps eps)
eps
(* x (* x (+ 1/2 (* x -1/3))))
x
(* x (+ 1/2 (* x -1/3)))
(+ 1/2 (* x -1/3))
1/2
(* x -1/3)
-1/3
(+ 1 (* x (+ (* x (+ (* (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))) (* (+ (/ 1/2 eps) -1/2) 1/6)) (* (* (* (+ 1 eps) (+ 1 eps)) (+ (/ 1/2 eps) -1/2)) -1/2))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))
1
(* x (+ (* x (+ (* (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))) (* (+ (/ 1/2 eps) -1/2) 1/6)) (* (* (* (+ 1 eps) (+ 1 eps)) (+ (/ 1/2 eps) -1/2)) -1/2))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))
x
(+ (* x (+ (* (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))) (* (+ (/ 1/2 eps) -1/2) 1/6)) (* (* (* (+ 1 eps) (+ 1 eps)) (+ (/ 1/2 eps) -1/2)) -1/2))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))
(* x (+ (* (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))) (* (+ (/ 1/2 eps) -1/2) 1/6)) (* (* (* (+ 1 eps) (+ 1 eps)) (+ (/ 1/2 eps) -1/2)) -1/2)))
(+ (* (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))) (* (+ (/ 1/2 eps) -1/2) 1/6)) (* (* (* (+ 1 eps) (+ 1 eps)) (+ (/ 1/2 eps) -1/2)) -1/2))
(* (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))) (* (+ (/ 1/2 eps) -1/2) 1/6))
(* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))
(* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))
(+ 1 eps)
eps
(* (+ 1 eps) (+ 1 eps))
(* (+ (/ 1/2 eps) -1/2) 1/6)
(+ (/ 1/2 eps) -1/2)
(/ 1/2 eps)
1/2
-1/2
1/6
(* (* (* (+ 1 eps) (+ 1 eps)) (+ (/ 1/2 eps) -1/2)) -1/2)
(* (* (+ 1 eps) (+ 1 eps)) (+ (/ 1/2 eps) -1/2))
(* (+ 1 eps) (+ (/ 1/2 eps) -1/2))
(* 1/2 (+ (exp (* x (+ eps -1))) 1))
1/2
(+ (exp (* x (+ eps -1))) 1)
(exp (* x (+ eps -1)))
(* x (+ eps -1))
x
(+ eps -1)
eps
-1
1
Outputs
(* 1/2 (+ (exp (* x eps)) (exp (* x (- -1 eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
1/2
#s(literal 1/2 binary64)
(+ (exp (* x eps)) (exp (* x (- -1 eps))))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(exp (* x eps))
(exp.f64 (*.f64 x eps))
(* x eps)
(*.f64 x eps)
x
eps
(exp (* x (- -1 eps)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(* x (- -1 eps))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
-1
#s(literal -1 binary64)
(* eps (* eps (* (* x x) 1/4)))
(*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps))))
eps
(* eps (* (* x x) 1/4))
(*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x eps)))
(* (* x x) 1/4)
(*.f64 x (*.f64 x #s(literal 1/4 binary64)))
(* x x)
(*.f64 x x)
x
1/4
#s(literal 1/4 binary64)
(+ 1 (* (* eps eps) (* x (* x (+ 1/2 (* x -1/3))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))) eps))))
1
#s(literal 1 binary64)
(* (* eps eps) (* x (* x (+ 1/2 (* x -1/3)))))
(*.f64 (*.f64 x eps) (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))) eps)))
(* eps eps)
(*.f64 eps eps)
eps
(* x (* x (+ 1/2 (* x -1/3))))
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))
x
(* x (+ 1/2 (* x -1/3)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))
(+ 1/2 (* x -1/3))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))
1/2
#s(literal 1/2 binary64)
(* x -1/3)
(*.f64 x #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
(+ 1 (* x (+ (* x (+ (* (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))) (* (+ (/ 1/2 eps) -1/2) 1/6)) (* (* (* (+ 1 eps) (+ 1 eps)) (+ (/ 1/2 eps) -1/2)) -1/2))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))))
1
#s(literal 1 binary64)
(* x (+ (* x (+ (* (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))) (* (+ (/ 1/2 eps) -1/2) 1/6)) (* (* (* (+ 1 eps) (+ 1 eps)) (+ (/ 1/2 eps) -1/2)) -1/2))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))
(*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))
x
(+ (* x (+ (* (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))) (* (+ (/ 1/2 eps) -1/2) 1/6)) (* (* (* (+ 1 eps) (+ 1 eps)) (+ (/ 1/2 eps) -1/2)) -1/2))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))
(+.f64 (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(* x (+ (* (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))) (* (+ (/ 1/2 eps) -1/2) 1/6)) (* (* (* (+ 1 eps) (+ 1 eps)) (+ (/ 1/2 eps) -1/2)) -1/2)))
(*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))))
(+ (* (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))) (* (+ (/ 1/2 eps) -1/2) 1/6)) (* (* (* (+ 1 eps) (+ 1 eps)) (+ (/ 1/2 eps) -1/2)) -1/2))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))))
(* (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))) (* (+ (/ 1/2 eps) -1/2) 1/6))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/12 binary64) eps))))
(* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.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)
eps
(* (+ 1 eps) (+ 1 eps))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
(* (+ (/ 1/2 eps) -1/2) 1/6)
(+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1/12 binary64) eps))
(+ (/ 1/2 eps) -1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
(/ 1/2 eps)
(/.f64 #s(literal 1/2 binary64) eps)
1/2
#s(literal 1/2 binary64)
-1/2
#s(literal -1/2 binary64)
1/6
#s(literal 1/6 binary64)
(* (* (* (+ 1 eps) (+ 1 eps)) (+ (/ 1/2 eps) -1/2)) -1/2)
(*.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 eps) (+ 1 eps)) (+ (/ 1/2 eps) -1/2))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(* (+ 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 (+ (exp (* x (+ eps -1))) 1))
(+.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)
(+ (exp (* x (+ eps -1))) 1)
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))))
(exp (* x (+ eps -1)))
(exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))
(* x (+ eps -1))
(*.f64 x (+.f64 #s(literal -1 binary64) eps))
x
(+ eps -1)
(+.f64 #s(literal -1 binary64) eps)
eps
-1
#s(literal -1 binary64)
1
#s(literal 1 binary64)

localize371.0ms (2.4%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)))
✓accuracy100.0%
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
✓accuracy100.0%
(+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64))
✓accuracy100.0%
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
✓accuracy96.9%
(*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
✓accuracy95.7%
(*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) #s(literal -1/2 binary64))))
✓accuracy93.0%
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
✓accuracy84.5%
(+.f64 (*.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))
✓accuracy100.0%
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))
✓accuracy99.9%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))
✓accuracy99.5%
(*.f64 x #s(literal -1/3 binary64))
✓accuracy81.1%
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 (*.f64 x x) #s(literal 1/4 binary64))
✓accuracy94.5%
(*.f64 eps (*.f64 eps (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))
✓accuracy92.5%
(*.f64 eps (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))
✓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))))
✓accuracy100.0%
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
✓accuracy100.0%
(exp.f64 (*.f64 x eps))
Results
292.0ms256×0valid
Compiler

Compiled 518 to 49 computations (90.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 128.0ms
...c/correct-round.rkt:119:19: 56.0ms (43.7% of total)
ival-mult: 43.0ms (33.5% of total)
ival-exp: 13.0ms (10.1% of total)
ival-add: 12.0ms (9.4% of total)
ival-div: 2.0ms (1.6% of total)
ival-sub: 1.0ms (0.8% of total)
const: 1.0ms (0.8% of total)
backward-pass: 0.0ms (0% of total)

series72.0ms (0.5%)

Counts
26 → 552
Calls
Call 1
Inputs
#<alt (* 1/2 (+ (exp (* x eps)) (exp (* x (- -1 eps)))))>
#<alt (+ (exp (* x eps)) (exp (* x (- -1 eps))))>
#<alt (exp (* x eps))>
#<alt (* x eps)>
#<alt (* eps (* eps (* (* x x) 1/4)))>
#<alt (* eps (* (* x x) 1/4))>
#<alt (* (* x x) 1/4)>
#<alt (* x x)>
#<alt (+ 1 (* (* eps eps) (* x (* x (+ 1/2 (* x -1/3))))))>
#<alt (* (* eps eps) (* x (* x (+ 1/2 (* x -1/3)))))>
#<alt (* eps eps)>
#<alt (* x (* x (+ 1/2 (* x -1/3))))>
#<alt (+ 1 (* x (+ (* x (+ (* (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))) (* (+ (/ 1/2 eps) -1/2) 1/6)) (* (* (* (+ 1 eps) (+ 1 eps)) (+ (/ 1/2 eps) -1/2)) -1/2))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))>
#<alt (* x (+ (* x (+ (* (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))) (* (+ (/ 1/2 eps) -1/2) 1/6)) (* (* (* (+ 1 eps) (+ 1 eps)) (+ (/ 1/2 eps) -1/2)) -1/2))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))>
#<alt (+ (* x (+ (* (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))) (* (+ (/ 1/2 eps) -1/2) 1/6)) (* (* (* (+ 1 eps) (+ 1 eps)) (+ (/ 1/2 eps) -1/2)) -1/2))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))>
#<alt (* x (+ (* (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))) (* (+ (/ 1/2 eps) -1/2) 1/6)) (* (* (* (+ 1 eps) (+ 1 eps)) (+ (/ 1/2 eps) -1/2)) -1/2)))>
#<alt (* 1/2 (+ (exp (* x (+ eps -1))) 1))>
#<alt (+ (exp (* x (+ eps -1))) 1)>
#<alt (exp (* x (+ eps -1)))>
#<alt (* x (+ eps -1))>
#<alt (exp (* x (- -1 eps)))>
#<alt (* x (- -1 eps))>
#<alt (* x -1/3)>
#<alt (* x (+ 1/2 (* x -1/3)))>
#<alt (+ (* (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))) (* (+ (/ 1/2 eps) -1/2) 1/6)) (* (* (* (+ 1 eps) (+ 1 eps)) (+ (/ 1/2 eps) -1/2)) -1/2))>
#<alt (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (+ eps (* -1 (+ 1 eps))))))>
#<alt (+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))) (* 1/2 (+ eps (* -1 (+ 1 eps)))))))>
#<alt (+ 1 (* x (+ (* 1/2 (+ eps (* -1 (+ 1 eps)))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3))))) (* 1/2 (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2)))))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ 1 (exp (* -1 x))))>
#<alt (+ (* 1/2 (* eps (+ x (* -1 (* x (exp (* -1 x))))))) (* 1/2 (+ 1 (exp (* -1 x)))))>
#<alt (+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2))))) (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))))))>
#<alt (+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2)))))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))>
#<alt 2>
#<alt (+ 2 (* x (+ eps (* -1 (+ 1 eps)))))>
#<alt (+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))))))>
#<alt (+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (+ (* 1/2 (pow (+ 1 eps) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3)))))))))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ 1 (exp (* -1 x)))>
#<alt (+ 1 (+ (exp (* -1 x)) (* eps (+ x (* -1 (* x (exp (* -1 x))))))))>
#<alt (+ 1 (+ (exp (* -1 x)) (* eps (+ x (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2)))))))))>
#<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 (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* eps (pow x 2)))>
#<alt (* 1/4 (* eps (pow x 2)))>
#<alt (* 1/4 (* eps (pow x 2)))>
#<alt (* 1/4 (* eps (pow x 2)))>
#<alt (* 1/4 (* eps (pow x 2)))>
#<alt (* 1/4 (* eps (pow x 2)))>
#<alt (* 1/4 (* eps (pow x 2)))>
#<alt (* 1/4 (* eps (pow x 2)))>
#<alt (* 1/4 (* eps (pow x 2)))>
#<alt (* 1/4 (* eps (pow x 2)))>
#<alt (* 1/4 (* eps (pow x 2)))>
#<alt (* 1/4 (* eps (pow x 2)))>
#<alt (* 1/4 (* eps (pow x 2)))>
#<alt (* 1/4 (* eps (pow x 2)))>
#<alt (* 1/4 (* eps (pow x 2)))>
#<alt (* 1/4 (* eps (pow x 2)))>
#<alt (* 1/4 (* eps (pow x 2)))>
#<alt (* 1/4 (* eps (pow x 2)))>
#<alt (* 1/4 (* eps (pow x 2)))>
#<alt (* 1/4 (* eps (pow x 2)))>
#<alt (* 1/4 (* eps (pow x 2)))>
#<alt (* 1/4 (* eps (pow x 2)))>
#<alt (* 1/4 (* eps (pow x 2)))>
#<alt (* 1/4 (* eps (pow x 2)))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (* (pow eps 2) (* (pow x 2) (+ 1/2 (* -1/3 x)))))>
#<alt (+ 1 (* (pow eps 2) (* (pow x 2) (+ 1/2 (* -1/3 x)))))>
#<alt (+ 1 (* (pow eps 2) (* (pow x 2) (+ 1/2 (* -1/3 x)))))>
#<alt (* (pow eps 2) (* (pow x 2) (+ 1/2 (* -1/3 x))))>
#<alt (* (pow eps 2) (+ (* (pow x 2) (+ 1/2 (* -1/3 x))) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* (pow x 2) (+ 1/2 (* -1/3 x))) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* (pow x 2) (+ 1/2 (* -1/3 x))) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (* (pow x 2) (+ 1/2 (* -1/3 x))))>
#<alt (* (pow eps 2) (+ (* (pow x 2) (+ 1/2 (* -1/3 x))) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* (pow x 2) (+ 1/2 (* -1/3 x))) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* (pow x 2) (+ 1/2 (* -1/3 x))) (/ 1 (pow eps 2))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/3 (* (pow eps 2) x)) (* 1/2 (pow eps 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/3 (* (pow eps 2) x)) (* 1/2 (pow eps 2)))))>
#<alt (* -1/3 (* (pow eps 2) (pow x 3)))>
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#<alt (* 1/2 (+ 1 (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ 1 (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ 1 (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ 1 (exp (* -1 (* x (+ 1 (* -1 eps)))))))>
#<alt (* 1/2 (+ 1 (exp (* -1 (* x (+ 1 (* -1 eps)))))))>
#<alt (* 1/2 (+ 1 (exp (* -1 (* x (+ 1 (* -1 eps)))))))>
#<alt (* 1/2 (+ 1 (exp (* -1 (* x (+ 1 (* -1 eps)))))))>
#<alt 2>
#<alt (+ 2 (* x (- eps 1)))>
#<alt (+ 2 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))>
#<alt (+ 2 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))>
#<alt (+ 1 (exp (* x (- eps 1))))>
#<alt (+ 1 (exp (* x (- eps 1))))>
#<alt (+ 1 (exp (* x (- eps 1))))>
#<alt (+ 1 (exp (* x (- eps 1))))>
#<alt (+ 1 (exp (* x (- eps 1))))>
#<alt (+ 1 (exp (* x (- eps 1))))>
#<alt (+ 1 (exp (* x (- eps 1))))>
#<alt (+ 1 (exp (* x (- eps 1))))>
#<alt (+ 1 (exp (* -1 x)))>
#<alt (+ 1 (+ (exp (* -1 x)) (* eps (* x (exp (* -1 x))))))>
#<alt (+ 1 (+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x)))))))>
#<alt (+ 1 (+ (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 (+ 1 (exp (* x (- eps 1))))>
#<alt (+ 1 (exp (* x (- eps 1))))>
#<alt (+ 1 (exp (* x (- eps 1))))>
#<alt (+ 1 (exp (* x (- eps 1))))>
#<alt (+ 1 (exp (* -1 (* x (+ 1 (* -1 eps))))))>
#<alt (+ 1 (exp (* -1 (* x (+ 1 (* -1 eps))))))>
#<alt (+ 1 (exp (* -1 (* x (+ 1 (* -1 eps))))))>
#<alt (+ 1 (exp (* -1 (* x (+ 1 (* -1 eps))))))>
#<alt 1>
#<alt (+ 1 (* x (- eps 1)))>
#<alt (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))>
#<alt (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* -1 x))>
#<alt (+ (exp (* -1 x)) (* eps (* x (exp (* -1 x)))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x))))))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* -1 (* x (+ 1 (* -1 eps)))))>
#<alt (exp (* -1 (* x (+ 1 (* -1 eps)))))>
#<alt (exp (* -1 (* x (+ 1 (* -1 eps)))))>
#<alt (exp (* -1 (* x (+ 1 (* -1 eps)))))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* eps x))>
#<alt (+ (* -1 x) (* eps x))>
#<alt (+ (* -1 x) (* eps x))>
#<alt (* eps x)>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps x)>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt 1>
#<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 (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (* -1/3 x)))>
#<alt (* x (+ 1/2 (* -1/3 x)))>
#<alt (* x (+ 1/2 (* -1/3 x)))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/3))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/3))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/3))>
#<alt (* -1/3 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/3))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/3))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/3))>
#<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) 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 (* x (pow (+ 1 eps) 3))>
#<alt (* x (pow (+ 1 eps) 3))>
#<alt (* x (pow (+ 1 eps) 3))>
#<alt (* x (pow (+ 1 eps) 3))>
#<alt (* x (pow (+ 1 eps) 3))>
#<alt (* x (pow (+ 1 eps) 3))>
#<alt (* x (pow (+ 1 eps) 3))>
#<alt (* x (pow (+ 1 eps) 3))>
#<alt (* x (pow (+ 1 eps) 3))>
#<alt (* x (pow (+ 1 eps) 3))>
#<alt (* x (pow (+ 1 eps) 3))>
#<alt (* x (pow (+ 1 eps) 3))>
#<alt x>
#<alt (+ x (* 3 (* eps x)))>
#<alt (+ x (* eps (+ (* 3 x) (* 3 (* eps x)))))>
#<alt (+ x (* eps (+ (* 3 x) (* eps (+ (* 3 x) (* eps x))))))>
#<alt (* (pow eps 3) x)>
#<alt (* (pow eps 3) (+ x (* 3 (/ x eps))))>
#<alt (* (pow eps 3) (+ x (+ (* 3 (/ x eps)) (* 3 (/ x (pow eps 2))))))>
#<alt (* (pow eps 3) (+ x (+ (* 3 (/ x eps)) (+ (* 3 (/ x (pow eps 2))) (/ x (pow eps 3))))))>
#<alt (* (pow eps 3) x)>
#<alt (* -1 (* (pow eps 3) (+ (* -3 (/ x eps)) (* -1 x))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 x) (* -1 (/ (+ (* 3 x) (* 3 (/ x eps))) eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -3 x) (* -1 (/ x eps))) eps)) (* 3 x)) eps)))))>
Calls

138 calls:

TimeVariablePointExpression
35.0ms
eps
@inf
(* (* eps eps) (* x (* x (+ 1/2 (* x -1/3)))))
2.0ms
eps
@inf
(+ (* x (+ (* (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))) (* (+ (/ 1/2 eps) -1/2) 1/6)) (* (* (* (+ 1 eps) (+ 1 eps)) (+ (/ 1/2 eps) -1/2)) -1/2))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))
1.0ms
eps
@0
(* eps (* eps (* (* x x) 1/4)))
1.0ms
x
@-inf
(+ 1 (* x (+ (* x (+ (* (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))) (* (+ (/ 1/2 eps) -1/2) 1/6)) (* (* (* (+ 1 eps) (+ 1 eps)) (+ (/ 1/2 eps) -1/2)) -1/2))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))
1.0ms
x
@0
(* eps (* eps (* (* x x) 1/4)))

rewrite796.0ms (5.1%)

Algorithm
1×batch-egg-rewrite
Rules
6214×*-lowering-*.f32
6214×*-lowering-*.f64
2990×/-lowering-/.f32
2990×/-lowering-/.f64
2760×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048317
1296310
22938302
011181302
Stop Event
1×iter limit
1×node limit
Counts
26 → 658
Calls
Call 1
Inputs
(* 1/2 (+ (exp (* x eps)) (exp (* x (- -1 eps)))))
(+ (exp (* x eps)) (exp (* x (- -1 eps))))
(exp (* x eps))
(* x eps)
(* eps (* eps (* (* x x) 1/4)))
(* eps (* (* x x) 1/4))
(* (* x x) 1/4)
(* x x)
(+ 1 (* (* eps eps) (* x (* x (+ 1/2 (* x -1/3))))))
(* (* eps eps) (* x (* x (+ 1/2 (* x -1/3)))))
(* eps eps)
(* x (* x (+ 1/2 (* x -1/3))))
(+ 1 (* x (+ (* x (+ (* (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))) (* (+ (/ 1/2 eps) -1/2) 1/6)) (* (* (* (+ 1 eps) (+ 1 eps)) (+ (/ 1/2 eps) -1/2)) -1/2))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))
(* x (+ (* x (+ (* (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))) (* (+ (/ 1/2 eps) -1/2) 1/6)) (* (* (* (+ 1 eps) (+ 1 eps)) (+ (/ 1/2 eps) -1/2)) -1/2))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))
(+ (* x (+ (* (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))) (* (+ (/ 1/2 eps) -1/2) 1/6)) (* (* (* (+ 1 eps) (+ 1 eps)) (+ (/ 1/2 eps) -1/2)) -1/2))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))
(* x (+ (* (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))) (* (+ (/ 1/2 eps) -1/2) 1/6)) (* (* (* (+ 1 eps) (+ 1 eps)) (+ (/ 1/2 eps) -1/2)) -1/2)))
(* 1/2 (+ (exp (* x (+ eps -1))) 1))
(+ (exp (* x (+ eps -1))) 1)
(exp (* x (+ eps -1)))
(* x (+ eps -1))
(exp (* x (- -1 eps)))
(* x (- -1 eps))
(* x -1/3)
(* x (+ 1/2 (* x -1/3)))
(+ (* (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))) (* (+ (/ 1/2 eps) -1/2) 1/6)) (* (* (* (+ 1 eps) (+ 1 eps)) (+ (/ 1/2 eps) -1/2)) -1/2))
(* x (* (+ 1 eps) (* (+ 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 #s(literal 1/8 binary64) (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (exp.f64 (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64)))))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64)))))) (-.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 3 binary64))))) #s(literal 1/2 binary64)) (-.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (*.f64 x (-.f64 #s(literal 0 binary64) eps))) (exp.f64 (*.f64 x eps)))
(fma.f64 (exp.f64 (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64)))) (exp.f64 (*.f64 x eps)))
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simplify514.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
7306×*-lowering-*.f32
7306×*-lowering-*.f64
4816×+-lowering-+.f64
4816×+-lowering-+.f32
1562×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06887181
124836600
086996600
Stop Event
1×iter limit
1×node limit
Counts
552 → 552
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)))))))
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(* 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))))
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(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
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2
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(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
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1
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(exp (* eps x))
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(exp (* eps x))
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1
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2
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(+ 1 (exp (* x (- eps 1))))
(+ 1 (exp (* x (- eps 1))))
(+ 1 (exp (* x (- eps 1))))
(+ 1 (exp (* x (- eps 1))))
(+ 1 (exp (* x (- eps 1))))
(+ 1 (exp (* x (- eps 1))))
(+ 1 (exp (* x (- eps 1))))
(+ 1 (exp (* x (- eps 1))))
(+ 1 (exp (* -1 x)))
(+ 1 (+ (exp (* -1 x)) (* eps (* x (exp (* -1 x))))))
(+ 1 (+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x)))))))
(+ 1 (+ (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)))))))
(+ 1 (exp (* x (- eps 1))))
(+ 1 (exp (* x (- eps 1))))
(+ 1 (exp (* x (- eps 1))))
(+ 1 (exp (* x (- eps 1))))
(+ 1 (exp (* -1 (* x (+ 1 (* -1 eps))))))
(+ 1 (exp (* -1 (* x (+ 1 (* -1 eps))))))
(+ 1 (exp (* -1 (* x (+ 1 (* -1 eps))))))
(+ 1 (exp (* -1 (* x (+ 1 (* -1 eps))))))
1
(+ 1 (* x (- eps 1)))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* -1 x))
(+ (exp (* -1 x)) (* eps (* x (exp (* -1 x)))))
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))
(+ (exp (* -1 x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x))))))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* -1 x)
(+ (* -1 x) (* eps x))
(+ (* -1 x) (* eps x))
(+ (* -1 x) (* eps x))
(* eps x)
(* eps (+ x (* -1 (/ x eps))))
(* eps (+ x (* -1 (/ x eps))))
(* eps (+ x (* -1 (/ x eps))))
(* eps x)
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
1
(+ 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))))
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* 1/2 x)
(* x (+ 1/2 (* -1/3 x)))
(* x (+ 1/2 (* -1/3 x)))
(* x (+ 1/2 (* -1/3 x)))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/3))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/3))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/3))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/3))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/3))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/3))
(* -1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)))
(+ (* -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 (* (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 (* (pow (+ 1 eps) 2) (- (* 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))))
(* 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)))))
(* 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)))))
(* x (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)) x)) (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))
(* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(* -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)))))
(* -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)))))
(* -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)))))
(/ (- (* 1/12 x) 1/4) eps)
(/ (- (+ (* 1/12 x) (* eps (- (* 1/6 x) 1/4))) 1/4) eps)
(/ (- (+ (* 1/12 x) (* eps (- (+ (* 1/6 x) (* 1/4 eps)) 1/4))) 1/4) eps)
(/ (- (+ (* 1/12 x) (* eps (- (+ (* 1/6 x) (* eps (+ 1/4 (* eps (+ 1/4 (* -1/6 x)))))) 1/4))) 1/4) eps)
(* -1/12 (* (pow eps 3) x))
(* (pow eps 3) (+ (* -1/6 (/ x eps)) (+ (* -1/12 x) (* 1/4 (/ 1 eps)))))
(* (pow eps 3) (+ (* -1/6 (/ x eps)) (+ (* -1/12 x) (+ (/ 1/4 (pow eps 2)) (* 1/4 (/ 1 eps))))))
(* (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)))))
(* -1/12 (* (pow eps 3) x))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/4 (* -1/6 x)) eps)) (* 1/12 x))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/4 (+ (* -1/6 x) (* 1/4 (/ 1 eps)))) eps)) (* 1/12 x))))
(* -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))))
(* x (pow (+ 1 eps) 3))
(* x (pow (+ 1 eps) 3))
(* x (pow (+ 1 eps) 3))
(* x (pow (+ 1 eps) 3))
(* x (pow (+ 1 eps) 3))
(* x (pow (+ 1 eps) 3))
(* x (pow (+ 1 eps) 3))
(* x (pow (+ 1 eps) 3))
(* x (pow (+ 1 eps) 3))
(* x (pow (+ 1 eps) 3))
(* x (pow (+ 1 eps) 3))
(* x (pow (+ 1 eps) 3))
x
(+ x (* 3 (* eps x)))
(+ x (* eps (+ (* 3 x) (* 3 (* eps x)))))
(+ x (* eps (+ (* 3 x) (* eps (+ (* 3 x) (* eps x))))))
(* (pow eps 3) x)
(* (pow eps 3) (+ x (* 3 (/ x eps))))
(* (pow eps 3) (+ x (+ (* 3 (/ x eps)) (* 3 (/ x (pow eps 2))))))
(* (pow eps 3) (+ x (+ (* 3 (/ x eps)) (+ (* 3 (/ x (pow eps 2))) (/ x (pow eps 3))))))
(* (pow eps 3) x)
(* -1 (* (pow eps 3) (+ (* -3 (/ x eps)) (* -1 x))))
(* -1 (* (pow eps 3) (+ (* -1 x) (* -1 (/ (+ (* 3 x) (* 3 (/ x eps))) eps)))))
(* -1 (* (pow eps 3) (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -3 x) (* -1 (/ x eps))) eps)) (* 3 x)) eps)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (+ eps (* -1 (+ 1 eps))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))) (* 1/2 (+ eps (* -1 (+ 1 eps)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))
(+ 1 (* x (+ (* 1/2 (+ eps (* -1 (+ 1 eps)))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3))))) (* 1/2 (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))) (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)))))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.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 eps)) (exp.f64 (*.f64 x (-.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 eps)) (exp.f64 (*.f64 x (-.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 eps)) (exp.f64 (*.f64 x (-.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 eps)) (exp.f64 (*.f64 x (-.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 eps)) (exp.f64 (*.f64 x (-.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 eps)) (exp.f64 (*.f64 x (-.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 eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ 1 (exp (* -1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(+ (* 1/2 (* eps (+ x (* -1 (* x (exp (* -1 x))))))) (* 1/2 (+ 1 (exp (* -1 x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 eps (-.f64 x (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x)))))))
(+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2))))) (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (+.f64 (-.f64 x (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 x x))))))
(+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2)))))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x))))) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 x x))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.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 eps)) (exp.f64 (*.f64 x (-.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 eps)) (exp.f64 (*.f64 x (-.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 eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
2
#s(literal 2 binary64)
(+ 2 (* x (+ eps (* -1 (+ 1 eps)))))
(+.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps))) #s(literal 2 binary64))
(+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))))))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))
(+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (+ (* 1/2 (pow (+ 1 eps) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3)))))))))))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))) (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64))))))) eps))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ 1 (exp (* -1 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ 1 (+ (exp (* -1 x)) (* eps (+ x (* -1 (* x (exp (* -1 x))))))))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 eps (-.f64 x (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x))))))
(+ 1 (+ (exp (* -1 x)) (* eps (+ x (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2)))))))))
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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)) (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))))))))))
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eval268.0ms (1.7%)

Compiler

Compiled 95527 to 3859 computations (96% saved)

prune248.0ms (1.6%)

Pruning

32 alts after pruning (29 fresh and 3 done)

PrunedKeptTotal
New1190201210
Fresh12921
Picked325
Done011
Total1205321237
Accuracy
100.0%
Counts
1237 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.2%
(-.f64 (/.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))))
31.2%
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
53.5%
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
31.8%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
60.5%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))
61.8%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))
▶53.4%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (-.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))))
76.4%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 #s(literal 1/2 binary64) x))))
55.7%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/4 binary64))))))))
56.5%
(+.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 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (/.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 #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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
37.6%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/6 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/4 binary64))) eps)) eps)) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps eps)) eps))))
54.6%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
53.5%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))
64.8%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
55.8%
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
42.6%
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 eps eps))
36.2%
(*.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1/4 binary64))
21.8%
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 eps (*.f64 eps #s(literal -1/3 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) x)))
▶46.3%
(*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/4 binary64)))
19.9%
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/12 binary64))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/6 binary64)))) eps)))
▶21.6%
(*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
18.8%
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.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))))))
✓35.9%
(*.f64 eps (*.f64 eps (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))
87.0%
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64)))) (exp.f64 (*.f64 x eps))))
87.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
58.1%
(*.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 x (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64))))))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
▶87.1%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (*.f64 x eps)))))
✓87.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
▶64.3%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
18.1%
(*.f64 #s(literal -1/3 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x eps)))))
70.3%
(exp.f64 (-.f64 #s(literal 0 binary64) x))
✓44.0%
#s(literal 1 binary64)
Compiler

Compiled 1405 to 831 computations (40.9% saved)

simplify267.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x eps)
✓cost-diff0
(exp.f64 (*.f64 x eps))
✓cost-diff0
(+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
✓cost-diff128
(+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (-.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))
✓cost-diff128
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (-.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))
✓cost-diff128
(*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (-.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))))
✓cost-diff128
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (-.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))))
✓cost-diff0
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))
✓cost-diff0
(*.f64 eps (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))
✓cost-diff0
(*.f64 eps eps)
✓cost-diff0
(*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
✓cost-diff0
(*.f64 x #s(literal 1/4 binary64))
✓cost-diff0
(*.f64 eps eps)
✓cost-diff0
(*.f64 x (*.f64 eps eps))
✓cost-diff0
(*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/4 binary64)))
✓cost-diff0
(exp.f64 (*.f64 x eps))
✓cost-diff6528
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (*.f64 x eps)))
✓cost-diff6528
(+.f64 (exp.f64 (*.f64 x eps)) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (*.f64 x eps))))
✓cost-diff6528
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (*.f64 x eps)))))
Rules
4720×*-lowering-*.f32
4720×*-lowering-*.f64
1354×distribute-lft-in
1290×distribute-rgt-in
1214×fma-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
038263
1118248
2324236
3867231
41626226
52265226
63371226
76674226
08260226
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* 1/2 (+ (exp (* x eps)) (/ (/ 1 (exp x)) (exp (* x eps)))))
1/2
(+ (exp (* x eps)) (/ (/ 1 (exp x)) (exp (* x eps))))
(exp (* x eps))
(* x eps)
x
eps
(/ (/ 1 (exp x)) (exp (* x eps)))
(/ 1 (exp x))
1
(exp x)
(* (* x (* eps eps)) (* x 1/4))
(* x (* eps eps))
x
(* eps eps)
eps
(* x 1/4)
1/4
(* (* eps eps) (* eps (* x (* (* x x) -1/12))))
(* eps eps)
eps
(* eps (* x (* (* x x) -1/12)))
(* x (* (* x x) -1/12))
x
(* (* x x) -1/12)
(* x x)
-1/12
(+ 1 (* (* eps eps) (/ (* (* x x) (+ 1/8 (* (* x (* x x)) -1/27))) (+ 1/4 (* (* x -1/3) (- (* x -1/3) 1/2))))))
1
(* (* eps eps) (/ (* (* x x) (+ 1/8 (* (* x (* x x)) -1/27))) (+ 1/4 (* (* x -1/3) (- (* x -1/3) 1/2)))))
(* eps eps)
eps
(/ (* (* x x) (+ 1/8 (* (* x (* x x)) -1/27))) (+ 1/4 (* (* x -1/3) (- (* x -1/3) 1/2))))
(* (* x x) (+ 1/8 (* (* x (* x x)) -1/27)))
(* x x)
x
(+ 1/8 (* (* x (* x x)) -1/27))
1/8
(* (* x (* x x)) -1/27)
(* x (* x x))
-1/27
(+ 1/4 (* (* x -1/3) (- (* x -1/3) 1/2)))
1/4
(* (* x -1/3) (- (* x -1/3) 1/2))
(* x -1/3)
-1/3
(- (* x -1/3) 1/2)
1/2
(* 1/2 (+ (exp (* x eps)) 1))
1/2
(+ (exp (* x eps)) 1)
(exp (* x eps))
(* x eps)
x
eps
1
Outputs
(* 1/2 (+ (exp (* x eps)) (/ (/ 1 (exp x)) (exp (* x 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)) (/ (/ 1 (exp x)) (exp (* x 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
(/ (/ 1 (exp x)) (exp (* x eps)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(/ 1 (exp x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
1
#s(literal 1 binary64)
(exp x)
(exp.f64 x)
(* (* x (* eps eps)) (* x 1/4))
(*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) #s(literal 1/4 binary64)))
(* x (* eps eps))
(*.f64 x (*.f64 eps eps))
x
(* eps eps)
(*.f64 eps eps)
eps
(* x 1/4)
(*.f64 x #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(* (* eps eps) (* eps (* x (* (* x x) -1/12))))
(*.f64 x (*.f64 eps (*.f64 x (*.f64 eps (*.f64 eps (*.f64 x #s(literal -1/12 binary64)))))))
(* eps eps)
(*.f64 eps eps)
eps
(* eps (* x (* (* x x) -1/12)))
(*.f64 x (*.f64 #s(literal -1/12 binary64) (*.f64 x (*.f64 x eps))))
(* x (* (* x x) -1/12))
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/12 binary64))))
x
(* (* x x) -1/12)
(*.f64 x (*.f64 x #s(literal -1/12 binary64)))
(* x x)
(*.f64 x x)
-1/12
#s(literal -1/12 binary64)
(+ 1 (* (* eps eps) (/ (* (* x x) (+ 1/8 (* (* x (* x x)) -1/27))) (+ 1/4 (* (* x -1/3) (- (* x -1/3) 1/2))))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/27 binary64)))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/6 binary64))))))
1
#s(literal 1 binary64)
(* (* eps eps) (/ (* (* x x) (+ 1/8 (* (* x (* x x)) -1/27))) (+ 1/4 (* (* x -1/3) (- (* x -1/3) 1/2)))))
(/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/27 binary64)))))))) (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/6 binary64)))))
(* eps eps)
(*.f64 eps eps)
eps
(/ (* (* x x) (+ 1/8 (* (* x (* x x)) -1/27))) (+ 1/4 (* (* x -1/3) (- (* x -1/3) 1/2))))
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/27 binary64)))))) (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/6 binary64)))))
(* (* x x) (+ 1/8 (* (* x (* x x)) -1/27)))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/27 binary64))))))
(* x x)
(*.f64 x x)
x
(+ 1/8 (* (* x (* x x)) -1/27))
(+.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/27 binary64)))))
1/8
#s(literal 1/8 binary64)
(* (* x (* x x)) -1/27)
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/27 binary64))))
(* x (* x x))
(*.f64 x (*.f64 x x))
-1/27
#s(literal -1/27 binary64)
(+ 1/4 (* (* x -1/3) (- (* x -1/3) 1/2)))
(+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/6 binary64))))
1/4
#s(literal 1/4 binary64)
(* (* x -1/3) (- (* x -1/3) 1/2))
(*.f64 x (+.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/6 binary64)))
(* x -1/3)
(*.f64 x #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
(- (* x -1/3) 1/2)
(+.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* 1/2 (+ (exp (* x eps)) 1))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
1/2
#s(literal 1/2 binary64)
(+ (exp (* x eps)) 1)
(+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64))
(exp (* x eps))
(exp.f64 (*.f64 x eps))
(* x eps)
(*.f64 x eps)
x
eps
1
#s(literal 1 binary64)

localize299.0ms (1.9%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x eps)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
✓accuracy100.0%
(+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64))
✓accuracy100.0%
(exp.f64 (*.f64 x eps))
✓accuracy99.8%
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))
✓accuracy99.6%
(*.f64 x #s(literal -1/3 binary64))
✓accuracy84.1%
(*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (-.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64))))))
✓accuracy80.1%
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (-.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))
✓accuracy99.9%
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))
✓accuracy99.7%
(*.f64 (*.f64 x x) #s(literal -1/12 binary64))
✓accuracy94.9%
(*.f64 eps (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))
✓accuracy89.5%
(*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
✓accuracy100.0%
(*.f64 x #s(literal 1/4 binary64))
✓accuracy100.0%
(*.f64 eps eps)
✓accuracy96.1%
(*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/4 binary64)))
✓accuracy93.2%
(*.f64 x (*.f64 eps eps))
✓accuracy100.0%
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (*.f64 x eps)))
✓accuracy100.0%
(+.f64 (exp.f64 (*.f64 x eps)) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (*.f64 x eps))))
✓accuracy100.0%
(exp.f64 (*.f64 x eps))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (exp.f64 x))
Results
149.0ms202×0valid
60.0ms16×5exit
19.0ms38×0unsamplable
Compiler

Compiled 311 to 39 computations (87.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-mult: 46.0ms (46.6% of total)
ival-exp: 14.0ms (14.2% of total)
...c/correct-round.rkt:119:19: 14.0ms (14.2% of total)
ival-add: 9.0ms (9.1% of total)
backward-pass: 8.0ms (8.1% of total)
ival-div: 6.0ms (6.1% of total)
const: 1.0ms (1% of total)
ival-sub: 1.0ms (1% of total)

series101.0ms (0.6%)

Counts
22 → 420
Calls
Call 1
Inputs
#<alt (* 1/2 (+ (exp (* x eps)) (/ (/ 1 (exp x)) (exp (* x eps)))))>
#<alt (+ (exp (* x eps)) (/ (/ 1 (exp x)) (exp (* x eps))))>
#<alt (/ (/ 1 (exp x)) (exp (* x eps)))>
#<alt (exp (* x eps))>
#<alt (* (* x (* eps eps)) (* x 1/4))>
#<alt (* x (* eps eps))>
#<alt (* eps eps)>
#<alt (* x 1/4)>
#<alt (* (* eps eps) (* eps (* x (* (* x x) -1/12))))>
#<alt (* eps (* x (* (* x x) -1/12)))>
#<alt (* x (* (* x x) -1/12))>
#<alt (+ 1 (* (* eps eps) (/ (* (* x x) (+ 1/8 (* (* x (* x x)) -1/27))) (+ 1/4 (* (* x -1/3) (- (* x -1/3) 1/2))))))>
#<alt (* (* eps eps) (/ (* (* x x) (+ 1/8 (* (* x (* x x)) -1/27))) (+ 1/4 (* (* x -1/3) (- (* x -1/3) 1/2)))))>
#<alt (/ (* (* x x) (+ 1/8 (* (* x (* x x)) -1/27))) (+ 1/4 (* (* x -1/3) (- (* x -1/3) 1/2))))>
#<alt (+ 1/4 (* (* x -1/3) (- (* x -1/3) 1/2)))>
#<alt (* 1/2 (+ (exp (* x eps)) 1))>
#<alt (+ (exp (* x eps)) 1)>
#<alt (* x eps)>
#<alt (/ 1 (exp x))>
#<alt (* (* x x) -1/12)>
#<alt (* x -1/3)>
#<alt (* (* x (* x x)) -1/27)>
Outputs
#<alt 1>
#<alt (+ 1 (* -1/2 x))>
#<alt (+ 1 (* x (- (* -1/2 (* x (+ 1/2 (+ eps (* -1 (pow (+ 1 eps) 2)))))) 1/2)))>
#<alt (+ 1 (* x (- (* x (+ (* -1/2 (* x (+ 1/6 (+ (* -1 (* (+ 1/2 (+ eps (* 1/2 (pow eps 2)))) (+ 1 eps))) (+ (* -1 (* (+ 1/2 (+ eps (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow eps 2))))) (+ 1 eps))) (+ (* 1/2 eps) (* 1/2 (pow eps 2)))))))) (* -1/2 (+ 1/2 (+ eps (* -1 (pow (+ 1 eps) 2))))))) 1/2)))>
#<alt (* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))>
#<alt (* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))>
#<alt (* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))>
#<alt (* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))>
#<alt (* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))>
#<alt (* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))>
#<alt (* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))>
#<alt (* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))>
#<alt (* 1/2 (+ 1 (/ 1 (exp x))))>
#<alt (+ (* 1/2 (* eps (- x (/ x (exp x))))) (* 1/2 (+ 1 (/ 1 (exp x)))))>
#<alt (+ (* 1/2 (+ 1 (/ 1 (exp x)))) (* eps (+ (* 1/2 (* eps (- (* 1/2 (pow x 2)) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x))))))) (* 1/2 (- x (/ x (exp x)))))))>
#<alt (+ (* 1/2 (+ 1 (/ 1 (exp x)))) (* eps (+ (* 1/2 (- x (/ x (exp x)))) (* eps (+ (* 1/2 (* eps (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (+ (* -1/2 (/ (pow x 3) (exp x))) (* 1/6 (/ (pow x 3) (exp x)))))))) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))))))))>
#<alt (* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))>
#<alt (* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))>
#<alt (* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))>
#<alt (* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))>
#<alt (* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))>
#<alt (* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))>
#<alt (* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))>
#<alt (* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))>
#<alt 2>
#<alt (+ 2 (* -1 x))>
#<alt (+ 2 (* x (- (* -1 (* x (+ 1/2 (+ eps (* -1 (pow (+ 1 eps) 2)))))) 1)))>
#<alt (+ 2 (* x (- (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (* (+ 1/2 (+ eps (* 1/2 (pow eps 2)))) (+ 1 eps))) (+ (* -1 (* (+ 1/2 (+ eps (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow eps 2))))) (+ 1 eps))) (+ (* 1/2 eps) (* 1/2 (pow eps 2)))))))) (+ 1/2 (+ eps (* -1 (pow (+ 1 eps) 2)))))) 1)))>
#<alt (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))>
#<alt (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))>
#<alt (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))>
#<alt (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))>
#<alt (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))>
#<alt (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))>
#<alt (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))>
#<alt (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))>
#<alt (+ 1 (/ 1 (exp x)))>
#<alt (+ 1 (+ (* eps (- x (/ x (exp x)))) (/ 1 (exp x))))>
#<alt (+ 1 (+ (* eps (- (+ x (* eps (- (* 1/2 (pow x 2)) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x))))))) (/ x (exp x)))) (/ 1 (exp x))))>
#<alt (+ 1 (+ (* eps (- (+ x (* eps (- (+ (* 1/2 (pow x 2)) (* eps (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (+ (* -1/2 (/ (pow x 3) (exp x))) (* 1/6 (/ (pow x 3) (exp x)))))))) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x))))))) (/ x (exp x)))) (/ 1 (exp x))))>
#<alt (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))>
#<alt (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))>
#<alt (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))>
#<alt (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))>
#<alt (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))>
#<alt (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))>
#<alt (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))>
#<alt (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))>
#<alt 1>
#<alt (+ 1 (* -1 (* x (+ 1 eps))))>
#<alt (+ 1 (* x (- (* -1 (* x (+ 1/2 (+ eps (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow eps 2))))))) (+ 1 eps))))>
#<alt (+ 1 (* x (- (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (* (+ 1/2 (+ eps (* 1/2 (pow eps 2)))) (+ 1 eps))) (+ (* -1 (* (+ 1/2 (+ eps (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow eps 2))))) (+ 1 eps))) (+ (* 1/6 (pow eps 3)) (+ (* 1/2 eps) (* 1/2 (pow eps 2))))))))) (+ 1/2 (+ eps (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow eps 2))))))) (+ 1 eps))))>
#<alt (/ 1 (* (exp x) (exp (* eps x))))>
#<alt (/ 1 (* (exp x) (exp (* eps x))))>
#<alt (/ 1 (* (exp x) (exp (* eps x))))>
#<alt (/ 1 (* (exp x) (exp (* eps x))))>
#<alt (/ 1 (* (exp x) (exp (* eps x))))>
#<alt (/ 1 (* (exp x) (exp (* eps x))))>
#<alt (/ 1 (* (exp x) (exp (* eps x))))>
#<alt (/ 1 (* (exp x) (exp (* eps x))))>
#<alt (/ 1 (exp x))>
#<alt (+ (* -1 (/ (* eps x) (exp x))) (/ 1 (exp x)))>
#<alt (+ (* eps (- (* -1 (* eps (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (/ x (exp x)))) (/ 1 (exp x)))>
#<alt (+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (* x (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (+ (* -1/2 (/ (pow x 3) (exp x))) (* 1/6 (/ (pow x 3) (exp x))))))) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (/ x (exp x)))) (/ 1 (exp x)))>
#<alt (/ 1 (* (exp x) (exp (* eps x))))>
#<alt (/ 1 (* (exp x) (exp (* eps x))))>
#<alt (/ 1 (* (exp x) (exp (* eps x))))>
#<alt (/ 1 (* (exp x) (exp (* eps x))))>
#<alt (/ 1 (* (exp x) (exp (* eps x))))>
#<alt (/ 1 (* (exp x) (exp (* eps x))))>
#<alt (/ 1 (* (exp x) (exp (* eps x))))>
#<alt (/ 1 (* (exp x) (exp (* eps x))))>
#<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 (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* -1/12 (* (pow eps 3) (pow x 3)))>
#<alt (* -1/12 (* (pow eps 3) (pow x 3)))>
#<alt (* -1/12 (* (pow eps 3) (pow x 3)))>
#<alt (* -1/12 (* (pow eps 3) (pow x 3)))>
#<alt (* -1/12 (* (pow eps 3) (pow x 3)))>
#<alt (* -1/12 (* (pow eps 3) (pow x 3)))>
#<alt (* -1/12 (* (pow eps 3) (pow x 3)))>
#<alt (* -1/12 (* (pow eps 3) (pow x 3)))>
#<alt (* -1/12 (* (pow eps 3) (pow x 3)))>
#<alt (* -1/12 (* (pow eps 3) (pow x 3)))>
#<alt (* -1/12 (* (pow eps 3) (pow x 3)))>
#<alt (* -1/12 (* (pow eps 3) (pow x 3)))>
#<alt (* -1/12 (* (pow eps 3) (pow x 3)))>
#<alt (* -1/12 (* (pow eps 3) (pow x 3)))>
#<alt (* -1/12 (* (pow eps 3) (pow x 3)))>
#<alt (* -1/12 (* (pow eps 3) (pow x 3)))>
#<alt (* -1/12 (* (pow eps 3) (pow x 3)))>
#<alt (* -1/12 (* (pow eps 3) (pow x 3)))>
#<alt (* -1/12 (* (pow eps 3) (pow x 3)))>
#<alt (* -1/12 (* (pow eps 3) (pow x 3)))>
#<alt (* -1/12 (* (pow eps 3) (pow x 3)))>
#<alt (* -1/12 (* (pow eps 3) (pow x 3)))>
#<alt (* -1/12 (* (pow eps 3) (pow x 3)))>
#<alt (* -1/12 (* (pow eps 3) (pow x 3)))>
#<alt (* -1/12 (* eps (pow x 3)))>
#<alt (* -1/12 (* eps (pow x 3)))>
#<alt (* -1/12 (* eps (pow x 3)))>
#<alt (* -1/12 (* eps (pow x 3)))>
#<alt (* -1/12 (* eps (pow x 3)))>
#<alt (* -1/12 (* eps (pow x 3)))>
#<alt (* -1/12 (* eps (pow x 3)))>
#<alt (* -1/12 (* eps (pow x 3)))>
#<alt (* -1/12 (* eps (pow x 3)))>
#<alt (* -1/12 (* eps (pow x 3)))>
#<alt (* -1/12 (* eps (pow x 3)))>
#<alt (* -1/12 (* eps (pow x 3)))>
#<alt (* -1/12 (* eps (pow x 3)))>
#<alt (* -1/12 (* eps (pow x 3)))>
#<alt (* -1/12 (* eps (pow x 3)))>
#<alt (* -1/12 (* eps (pow x 3)))>
#<alt (* -1/12 (* eps (pow x 3)))>
#<alt (* -1/12 (* eps (pow x 3)))>
#<alt (* -1/12 (* eps (pow x 3)))>
#<alt (* -1/12 (* eps (pow x 3)))>
#<alt (* -1/12 (* eps (pow x 3)))>
#<alt (* -1/12 (* eps (pow x 3)))>
#<alt (* -1/12 (* eps (pow x 3)))>
#<alt (* -1/12 (* eps (pow x 3)))>
#<alt (* -1/12 (pow x 3))>
#<alt (* -1/12 (pow x 3))>
#<alt (* -1/12 (pow x 3))>
#<alt (* -1/12 (pow x 3))>
#<alt (* -1/12 (pow x 3))>
#<alt (* -1/12 (pow x 3))>
#<alt (* -1/12 (pow x 3))>
#<alt (* -1/12 (pow x 3))>
#<alt (* -1/12 (pow x 3))>
#<alt (* -1/12 (pow x 3))>
#<alt (* -1/12 (pow x 3))>
#<alt (* -1/12 (pow x 3))>
#<alt 1>
#<alt (+ 1 (/ (* (pow eps 2) (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3))))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2))))))>
#<alt (+ 1 (/ (* (pow eps 2) (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3))))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2))))))>
#<alt (+ 1 (/ (* (pow eps 2) (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3))))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2))))))>
#<alt (/ (* (pow eps 2) (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3))))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2)))))>
#<alt (* (pow eps 2) (+ (/ 1 (pow eps 2)) (/ (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3)))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2)))))))>
#<alt (* (pow eps 2) (+ (/ 1 (pow eps 2)) (/ (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3)))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2)))))))>
#<alt (* (pow eps 2) (+ (/ 1 (pow eps 2)) (/ (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3)))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2)))))))>
#<alt (/ (* (pow eps 2) (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3))))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2)))))>
#<alt (* (pow eps 2) (+ (/ 1 (pow eps 2)) (/ (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3)))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2)))))))>
#<alt (* (pow eps 2) (+ (/ 1 (pow eps 2)) (/ (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3)))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2)))))))>
#<alt (* (pow eps 2) (+ (/ 1 (pow eps 2)) (/ (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3)))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2)))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/3 (* (pow eps 2) x)) (* 1/2 (pow eps 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* 1/2 (pow eps 2)) (* x (- (* -1 (* x (+ (* -2/9 (pow eps 2)) (* 2/9 (pow eps 2))))) (* 1/3 (pow eps 2)))))))>
#<alt (* -1/3 (* (pow eps 2) (pow x 3)))>
#<alt (* (pow x 3) (+ (* -1/3 (pow eps 2)) (* 1/2 (/ (pow eps 2) x))))>
#<alt (* (pow x 3) (- (+ (* -1 (/ (+ (* -3/4 (pow eps 2)) (* 3/4 (pow eps 2))) (pow x 2))) (* -1/3 (pow eps 2))) (* -1/2 (/ (pow eps 2) x))))>
#<alt (* (pow x 3) (- (+ (* -1/3 (pow eps 2)) (/ 1 (pow x 3))) (+ (* -3/2 (/ (+ (* -3/4 (pow eps 2)) (* 3/4 (pow eps 2))) (pow x 3))) (+ (* -3/4 (/ (pow eps 2) (pow x 2))) (+ (* -1/2 (/ (pow eps 2) x)) (* 3/4 (/ (pow eps 2) (pow x 2))))))))>
#<alt (* -1/3 (* (pow eps 2) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow eps 2) x)) (* 1/3 (pow eps 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (* -3/4 (/ (pow eps 2) x)) (* 3/4 (/ (pow eps 2) x))) (* -1/2 (pow eps 2))) x)) (* 1/3 (pow eps 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- 1 (* 3/2 (+ (* -3/4 (pow eps 2)) (* 3/4 (pow eps 2))))) x)) (+ (* -3/4 (pow eps 2)) (* 3/4 (pow eps 2)))) x)) (* -1/2 (pow eps 2))) x)) (* 1/3 (pow eps 2)))))>
#<alt (/ (* (pow eps 2) (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3))))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2)))))>
#<alt (/ (* (pow eps 2) (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3))))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2)))))>
#<alt (/ (* (pow eps 2) (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3))))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2)))))>
#<alt (/ (* (pow eps 2) (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3))))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2)))))>
#<alt (/ (* (pow eps 2) (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3))))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2)))))>
#<alt (/ (* (pow eps 2) (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3))))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2)))))>
#<alt (/ (* (pow eps 2) (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3))))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2)))))>
#<alt (/ (* (pow eps 2) (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3))))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2)))))>
#<alt (/ (* (pow eps 2) (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3))))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2)))))>
#<alt (/ (* (pow eps 2) (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3))))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2)))))>
#<alt (/ (* (pow eps 2) (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3))))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2)))))>
#<alt (/ (* (pow eps 2) (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3))))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2)))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* -1/3 (* (pow eps 2) x)) (* 1/2 (pow eps 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (* x (- (* -1 (* x (+ (* -2/9 (pow eps 2)) (* 2/9 (pow eps 2))))) (* 1/3 (pow eps 2))))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (* x (- (* x (- (* 2/3 (* x (+ (* -2/9 (pow eps 2)) (* 2/9 (pow eps 2))))) (+ (* -2/9 (pow eps 2)) (* 2/9 (pow eps 2))))) (* 1/3 (pow eps 2))))))>
#<alt (* -1/3 (* (pow eps 2) (pow x 3)))>
#<alt (* (pow x 3) (+ (* -1/3 (pow eps 2)) (* 1/2 (/ (pow eps 2) x))))>
#<alt (* (pow x 3) (- (+ (* -1 (/ (+ (* -3/4 (pow eps 2)) (* 3/4 (pow eps 2))) (pow x 2))) (* -1/3 (pow eps 2))) (* -1/2 (/ (pow eps 2) x))))>
#<alt (* (pow x 3) (- (+ (* -1/3 (pow eps 2)) (* 3/2 (/ (+ (* -3/4 (pow eps 2)) (* 3/4 (pow eps 2))) (pow x 3)))) (+ (* -3/4 (/ (pow eps 2) (pow x 2))) (+ (* -1/2 (/ (pow eps 2) x)) (* 3/4 (/ (pow eps 2) (pow x 2)))))))>
#<alt (* -1/3 (* (pow eps 2) (pow x 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow eps 2) x)) (* 1/3 (pow eps 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (* -3/4 (/ (pow eps 2) x)) (* 3/4 (/ (pow eps 2) x))) (* -1/2 (pow eps 2))) x)) (* 1/3 (pow eps 2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (* -1 (/ (- (* 3/2 (/ (+ (* -3/4 (pow eps 2)) (* 3/4 (pow eps 2))) x)) (+ (* -3/4 (pow eps 2)) (* 3/4 (pow eps 2)))) x)) (* -1/2 (pow eps 2))) x)) (* 1/3 (pow eps 2)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/3 x)))>
#<alt (* (pow x 2) (+ 1/2 (* -1/3 x)))>
#<alt (* (pow x 2) (+ 1/2 (* -1/3 x)))>
#<alt (* -1/3 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3))>
#<alt (* -1/3 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x)))))>
#<alt 1/4>
#<alt (+ 1/4 (* 1/6 x))>
#<alt (+ 1/4 (* x (+ 1/6 (* 1/9 x))))>
#<alt (+ 1/4 (* x (+ 1/6 (* 1/9 x))))>
#<alt (* 1/9 (pow x 2))>
#<alt (* (pow x 2) (+ 1/9 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* 1/9 (pow x 2))>
#<alt (* (pow x 2) (+ 1/9 (* 1/6 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* eps x)))>
#<alt (+ 1 (* x (+ (* 1/4 (* (pow eps 2) x)) (* 1/2 eps))))>
#<alt (+ 1 (* x (+ (* 1/2 eps) (* x (+ (* 1/12 (* (pow eps 3) x)) (* 1/4 (pow eps 2)))))))>
#<alt (* 1/2 (+ 1 (exp (* eps x))))>
#<alt (* 1/2 (+ 1 (exp (* eps x))))>
#<alt (* 1/2 (+ 1 (exp (* eps x))))>
#<alt (* 1/2 (+ 1 (exp (* eps x))))>
#<alt (* 1/2 (+ 1 (exp (* eps x))))>
#<alt (* 1/2 (+ 1 (exp (* eps x))))>
#<alt (* 1/2 (+ 1 (exp (* eps x))))>
#<alt (* 1/2 (+ 1 (exp (* eps x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* eps x)))>
#<alt (+ 1 (* eps (+ (* 1/4 (* eps (pow x 2))) (* 1/2 x))))>
#<alt (+ 1 (* eps (+ (* 1/2 x) (* eps (+ (* 1/12 (* eps (pow x 3))) (* 1/4 (pow x 2)))))))>
#<alt (* 1/2 (+ 1 (exp (* eps x))))>
#<alt (* 1/2 (+ 1 (exp (* eps x))))>
#<alt (* 1/2 (+ 1 (exp (* eps x))))>
#<alt (* 1/2 (+ 1 (exp (* eps x))))>
#<alt (* 1/2 (+ 1 (exp (* eps x))))>
#<alt (* 1/2 (+ 1 (exp (* eps x))))>
#<alt (* 1/2 (+ 1 (exp (* eps x))))>
#<alt (* 1/2 (+ 1 (exp (* eps x))))>
#<alt 2>
#<alt (+ 2 (* eps x))>
#<alt (+ 2 (* x (+ eps (* 1/2 (* (pow eps 2) x)))))>
#<alt (+ 2 (* x (+ eps (* x (+ (* 1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2)))))))>
#<alt (+ 1 (exp (* eps x)))>
#<alt (+ 1 (exp (* eps x)))>
#<alt (+ 1 (exp (* eps x)))>
#<alt (+ 1 (exp (* eps x)))>
#<alt (+ 1 (exp (* eps x)))>
#<alt (+ 1 (exp (* eps x)))>
#<alt (+ 1 (exp (* eps x)))>
#<alt (+ 1 (exp (* eps x)))>
#<alt 2>
#<alt (+ 2 (* eps x))>
#<alt (+ 2 (* eps (+ x (* 1/2 (* eps (pow x 2))))))>
#<alt (+ 2 (* eps (+ x (* eps (+ (* 1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (+ 1 (exp (* eps x)))>
#<alt (+ 1 (exp (* eps x)))>
#<alt (+ 1 (exp (* eps x)))>
#<alt (+ 1 (exp (* eps x)))>
#<alt (+ 1 (exp (* eps x)))>
#<alt (+ 1 (exp (* eps x)))>
#<alt (+ 1 (exp (* eps x)))>
#<alt (+ 1 (exp (* eps x)))>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (/ 1 (exp x))>
#<alt (* -1/12 (pow x 2))>
#<alt (* -1/12 (pow x 2))>
#<alt (* -1/12 (pow x 2))>
#<alt (* -1/12 (pow x 2))>
#<alt (* -1/12 (pow x 2))>
#<alt (* -1/12 (pow x 2))>
#<alt (* -1/12 (pow x 2))>
#<alt (* -1/12 (pow x 2))>
#<alt (* -1/12 (pow x 2))>
#<alt (* -1/12 (pow x 2))>
#<alt (* -1/12 (pow x 2))>
#<alt (* -1/12 (pow x 2))>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/3 x)>
#<alt (* -1/27 (pow x 3))>
#<alt (* -1/27 (pow x 3))>
#<alt (* -1/27 (pow x 3))>
#<alt (* -1/27 (pow x 3))>
#<alt (* -1/27 (pow x 3))>
#<alt (* -1/27 (pow x 3))>
#<alt (* -1/27 (pow x 3))>
#<alt (* -1/27 (pow x 3))>
#<alt (* -1/27 (pow x 3))>
#<alt (* -1/27 (pow x 3))>
#<alt (* -1/27 (pow x 3))>
#<alt (* -1/27 (pow x 3))>
Calls

105 calls:

TimeVariablePointExpression
51.0ms
x
@0
(+ (exp (* x eps)) (/ (/ 1 (exp x)) (exp (* x eps))))
18.0ms
eps
@-inf
(* 1/2 (+ (exp (* x eps)) 1))
1.0ms
x
@-inf
(* 1/2 (+ (exp (* x eps)) (/ (/ 1 (exp x)) (exp (* x eps)))))
1.0ms
eps
@0
(+ 1 (* (* eps eps) (/ (* (* x x) (+ 1/8 (* (* x (* x x)) -1/27))) (+ 1/4 (* (* x -1/3) (- (* x -1/3) 1/2))))))
1.0ms
eps
@0
(* (* eps eps) (* eps (* x (* (* x x) -1/12))))

rewrite366.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
3390×*-lowering-*.f32
3390×*-lowering-*.f64
2830×/-lowering-/.f32
2830×/-lowering-/.f64
2152×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038192
1214175
21626170
08174170
Stop Event
1×iter limit
1×node limit
Counts
22 → 434
Calls
Call 1
Inputs
(* 1/2 (+ (exp (* x eps)) (/ (/ 1 (exp x)) (exp (* x eps)))))
(+ (exp (* x eps)) (/ (/ 1 (exp x)) (exp (* x eps))))
(/ (/ 1 (exp x)) (exp (* x eps)))
(exp (* x eps))
(* (* x (* eps eps)) (* x 1/4))
(* x (* eps eps))
(* eps eps)
(* x 1/4)
(* (* eps eps) (* eps (* x (* (* x x) -1/12))))
(* eps (* x (* (* x x) -1/12)))
(* x (* (* x x) -1/12))
(+ 1 (* (* eps eps) (/ (* (* x x) (+ 1/8 (* (* x (* x x)) -1/27))) (+ 1/4 (* (* x -1/3) (- (* x -1/3) 1/2))))))
(* (* eps eps) (/ (* (* x x) (+ 1/8 (* (* x (* x x)) -1/27))) (+ 1/4 (* (* x -1/3) (- (* x -1/3) 1/2)))))
(/ (* (* x x) (+ 1/8 (* (* x (* x x)) -1/27))) (+ 1/4 (* (* x -1/3) (- (* x -1/3) 1/2))))
(+ 1/4 (* (* x -1/3) (- (* x -1/3) 1/2)))
(* 1/2 (+ (exp (* x eps)) 1))
(+ (exp (* x eps)) 1)
(* x eps)
(/ 1 (exp x))
(* (* x x) -1/12)
(* x -1/3)
(* (* x (* x x)) -1/27)
Outputs
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 eps #s(literal -1 binary64))))))
(+.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 eps #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 eps #s(literal -1 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 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x 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 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 #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 eps #s(literal -1 binary64))))))
(fma.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal -1 binary64))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x 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))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (exp.f64 (*.f64 (*.f64 x eps) #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 3 binary64))))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 eps #s(literal -1 binary64))))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 eps #s(literal -1 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 eps #s(literal -1 binary64))))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 eps #s(literal -1 binary64)))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 2 binary64))) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) x))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 2 binary64))))) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 2 binary64))) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) x))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 3 binary64)))))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 eps #s(literal -1 binary64))))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 eps #s(literal -1 binary64))))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 eps #s(literal -1 binary64))))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 eps #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 3 binary64)))))) (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 2 binary64))) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 2 binary64)))))) (neg.f64 (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 2 binary64))) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) x)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) x) #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))))) (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 eps #s(literal -1 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x 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 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))
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(*.f64 x #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) x)
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (*.f64 x #s(literal -1/3 binary64)))))
(pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 x #s(literal -1/3 binary64)))) #s(literal 3 binary64))
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/27 binary64))))
(*.f64 (*.f64 x x) (*.f64 x #s(literal -1/27 binary64)))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))
(*.f64 #s(literal -1/27 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/9 binary64)) (*.f64 x #s(literal -1/3 binary64)))
(*.f64 (*.f64 x (*.f64 x #s(literal -1/27 binary64))) x)
(*.f64 (pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 3/2 binary64)))
(*.f64 (*.f64 #s(literal -1/27 binary64) x) (*.f64 x x))

simplify288.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
3942×*-lowering-*.f32
3942×*-lowering-*.f64
1992×+-lowering-+.f64
1992×+-lowering-+.f32
1424×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03774037
113213566
255583461
084453461
Stop Event
1×iter limit
1×node limit
Counts
420 → 420
Calls
Call 1
Inputs
1
(+ 1 (* -1/2 x))
(+ 1 (* x (- (* -1/2 (* x (+ 1/2 (+ eps (* -1 (pow (+ 1 eps) 2)))))) 1/2)))
(+ 1 (* x (- (* x (+ (* -1/2 (* x (+ 1/6 (+ (* -1 (* (+ 1/2 (+ eps (* 1/2 (pow eps 2)))) (+ 1 eps))) (+ (* -1 (* (+ 1/2 (+ eps (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow eps 2))))) (+ 1 eps))) (+ (* 1/2 eps) (* 1/2 (pow eps 2)))))))) (* -1/2 (+ 1/2 (+ eps (* -1 (pow (+ 1 eps) 2))))))) 1/2)))
(* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))
(* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))
(* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))
(* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))
(* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))
(* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))
(* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))
(* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))
(* 1/2 (+ 1 (/ 1 (exp x))))
(+ (* 1/2 (* eps (- x (/ x (exp x))))) (* 1/2 (+ 1 (/ 1 (exp x)))))
(+ (* 1/2 (+ 1 (/ 1 (exp x)))) (* eps (+ (* 1/2 (* eps (- (* 1/2 (pow x 2)) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x))))))) (* 1/2 (- x (/ x (exp x)))))))
(+ (* 1/2 (+ 1 (/ 1 (exp x)))) (* eps (+ (* 1/2 (- x (/ x (exp x)))) (* eps (+ (* 1/2 (* eps (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (+ (* -1/2 (/ (pow x 3) (exp x))) (* 1/6 (/ (pow x 3) (exp x)))))))) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))))))))
(* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))
(* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))
(* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))
(* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))
(* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))
(* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))
(* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))
(* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))
2
(+ 2 (* -1 x))
(+ 2 (* x (- (* -1 (* x (+ 1/2 (+ eps (* -1 (pow (+ 1 eps) 2)))))) 1)))
(+ 2 (* x (- (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (* (+ 1/2 (+ eps (* 1/2 (pow eps 2)))) (+ 1 eps))) (+ (* -1 (* (+ 1/2 (+ eps (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow eps 2))))) (+ 1 eps))) (+ (* 1/2 eps) (* 1/2 (pow eps 2)))))))) (+ 1/2 (+ eps (* -1 (pow (+ 1 eps) 2)))))) 1)))
(+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))
(+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))
(+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))
(+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))
(+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))
(+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))
(+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))
(+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))
(+ 1 (/ 1 (exp x)))
(+ 1 (+ (* eps (- x (/ x (exp x)))) (/ 1 (exp x))))
(+ 1 (+ (* eps (- (+ x (* eps (- (* 1/2 (pow x 2)) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x))))))) (/ x (exp x)))) (/ 1 (exp x))))
(+ 1 (+ (* eps (- (+ x (* eps (- (+ (* 1/2 (pow x 2)) (* eps (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (+ (* -1/2 (/ (pow x 3) (exp x))) (* 1/6 (/ (pow x 3) (exp x)))))))) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x))))))) (/ x (exp x)))) (/ 1 (exp x))))
(+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))
(+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))
(+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))
(+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))
(+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))
(+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))
(+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))
(+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))
1
(+ 1 (* -1 (* x (+ 1 eps))))
(+ 1 (* x (- (* -1 (* x (+ 1/2 (+ eps (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow eps 2))))))) (+ 1 eps))))
(+ 1 (* x (- (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (* (+ 1/2 (+ eps (* 1/2 (pow eps 2)))) (+ 1 eps))) (+ (* -1 (* (+ 1/2 (+ eps (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow eps 2))))) (+ 1 eps))) (+ (* 1/6 (pow eps 3)) (+ (* 1/2 eps) (* 1/2 (pow eps 2))))))))) (+ 1/2 (+ eps (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow eps 2))))))) (+ 1 eps))))
(/ 1 (* (exp x) (exp (* eps x))))
(/ 1 (* (exp x) (exp (* eps x))))
(/ 1 (* (exp x) (exp (* eps x))))
(/ 1 (* (exp x) (exp (* eps x))))
(/ 1 (* (exp x) (exp (* eps x))))
(/ 1 (* (exp x) (exp (* eps x))))
(/ 1 (* (exp x) (exp (* eps x))))
(/ 1 (* (exp x) (exp (* eps x))))
(/ 1 (exp x))
(+ (* -1 (/ (* eps x) (exp x))) (/ 1 (exp x)))
(+ (* eps (- (* -1 (* eps (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (/ x (exp x)))) (/ 1 (exp x)))
(+ (* eps (- (* eps (- (* -1 (* eps (+ (* -1 (* x (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (+ (* -1/2 (/ (pow x 3) (exp x))) (* 1/6 (/ (pow x 3) (exp x))))))) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (/ x (exp x)))) (/ 1 (exp x)))
(/ 1 (* (exp x) (exp (* eps x))))
(/ 1 (* (exp x) (exp (* eps x))))
(/ 1 (* (exp x) (exp (* eps x))))
(/ 1 (* (exp x) (exp (* eps x))))
(/ 1 (* (exp x) (exp (* eps x))))
(/ 1 (* (exp x) (exp (* eps x))))
(/ 1 (* (exp x) (exp (* eps x))))
(/ 1 (* (exp x) (exp (* eps x))))
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))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* -1/12 (* (pow eps 3) (pow x 3)))
(* -1/12 (* (pow eps 3) (pow x 3)))
(* -1/12 (* (pow eps 3) (pow x 3)))
(* -1/12 (* (pow eps 3) (pow x 3)))
(* -1/12 (* (pow eps 3) (pow x 3)))
(* -1/12 (* (pow eps 3) (pow x 3)))
(* -1/12 (* (pow eps 3) (pow x 3)))
(* -1/12 (* (pow eps 3) (pow x 3)))
(* -1/12 (* (pow eps 3) (pow x 3)))
(* -1/12 (* (pow eps 3) (pow x 3)))
(* -1/12 (* (pow eps 3) (pow x 3)))
(* -1/12 (* (pow eps 3) (pow x 3)))
(* -1/12 (* (pow eps 3) (pow x 3)))
(* -1/12 (* (pow eps 3) (pow x 3)))
(* -1/12 (* (pow eps 3) (pow x 3)))
(* -1/12 (* (pow eps 3) (pow x 3)))
(* -1/12 (* (pow eps 3) (pow x 3)))
(* -1/12 (* (pow eps 3) (pow x 3)))
(* -1/12 (* (pow eps 3) (pow x 3)))
(* -1/12 (* (pow eps 3) (pow x 3)))
(* -1/12 (* (pow eps 3) (pow x 3)))
(* -1/12 (* (pow eps 3) (pow x 3)))
(* -1/12 (* (pow eps 3) (pow x 3)))
(* -1/12 (* (pow eps 3) (pow x 3)))
(* -1/12 (* eps (pow x 3)))
(* -1/12 (* eps (pow x 3)))
(* -1/12 (* eps (pow x 3)))
(* -1/12 (* eps (pow x 3)))
(* -1/12 (* eps (pow x 3)))
(* -1/12 (* eps (pow x 3)))
(* -1/12 (* eps (pow x 3)))
(* -1/12 (* eps (pow x 3)))
(* -1/12 (* eps (pow x 3)))
(* -1/12 (* eps (pow x 3)))
(* -1/12 (* eps (pow x 3)))
(* -1/12 (* eps (pow x 3)))
(* -1/12 (* eps (pow x 3)))
(* -1/12 (* eps (pow x 3)))
(* -1/12 (* eps (pow x 3)))
(* -1/12 (* eps (pow x 3)))
(* -1/12 (* eps (pow x 3)))
(* -1/12 (* eps (pow x 3)))
(* -1/12 (* eps (pow x 3)))
(* -1/12 (* eps (pow x 3)))
(* -1/12 (* eps (pow x 3)))
(* -1/12 (* eps (pow x 3)))
(* -1/12 (* eps (pow x 3)))
(* -1/12 (* eps (pow x 3)))
(* -1/12 (pow x 3))
(* -1/12 (pow x 3))
(* -1/12 (pow x 3))
(* -1/12 (pow x 3))
(* -1/12 (pow x 3))
(* -1/12 (pow x 3))
(* -1/12 (pow x 3))
(* -1/12 (pow x 3))
(* -1/12 (pow x 3))
(* -1/12 (pow x 3))
(* -1/12 (pow x 3))
(* -1/12 (pow x 3))
1
(+ 1 (/ (* (pow eps 2) (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3))))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2))))))
(+ 1 (/ (* (pow eps 2) (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3))))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2))))))
(+ 1 (/ (* (pow eps 2) (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3))))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2))))))
(/ (* (pow eps 2) (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3))))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2)))))
(* (pow eps 2) (+ (/ 1 (pow eps 2)) (/ (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3)))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2)))))))
(* (pow eps 2) (+ (/ 1 (pow eps 2)) (/ (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3)))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2)))))))
(* (pow eps 2) (+ (/ 1 (pow eps 2)) (/ (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3)))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2)))))))
(/ (* (pow eps 2) (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3))))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2)))))
(* (pow eps 2) (+ (/ 1 (pow eps 2)) (/ (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3)))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2)))))))
(* (pow eps 2) (+ (/ 1 (pow eps 2)) (/ (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3)))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2)))))))
(* (pow eps 2) (+ (/ 1 (pow eps 2)) (/ (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3)))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2)))))))
1
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+ 1 (* (pow x 2) (+ (* -1/3 (* (pow eps 2) x)) (* 1/2 (pow eps 2)))))
(+ 1 (* (pow x 2) (+ (* 1/2 (pow eps 2)) (* x (- (* -1 (* x (+ (* -2/9 (pow eps 2)) (* 2/9 (pow eps 2))))) (* 1/3 (pow eps 2)))))))
(* -1/3 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* -1/3 (pow eps 2)) (* 1/2 (/ (pow eps 2) x))))
(* (pow x 3) (- (+ (* -1 (/ (+ (* -3/4 (pow eps 2)) (* 3/4 (pow eps 2))) (pow x 2))) (* -1/3 (pow eps 2))) (* -1/2 (/ (pow eps 2) x))))
(* (pow x 3) (- (+ (* -1/3 (pow eps 2)) (/ 1 (pow x 3))) (+ (* -3/2 (/ (+ (* -3/4 (pow eps 2)) (* 3/4 (pow eps 2))) (pow x 3))) (+ (* -3/4 (/ (pow eps 2) (pow x 2))) (+ (* -1/2 (/ (pow eps 2) x)) (* 3/4 (/ (pow eps 2) (pow x 2))))))))
(* -1/3 (* (pow eps 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow eps 2) x)) (* 1/3 (pow eps 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (* -3/4 (/ (pow eps 2) x)) (* 3/4 (/ (pow eps 2) x))) (* -1/2 (pow eps 2))) x)) (* 1/3 (pow eps 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- 1 (* 3/2 (+ (* -3/4 (pow eps 2)) (* 3/4 (pow eps 2))))) x)) (+ (* -3/4 (pow eps 2)) (* 3/4 (pow eps 2)))) x)) (* -1/2 (pow eps 2))) x)) (* 1/3 (pow eps 2)))))
(/ (* (pow eps 2) (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3))))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2)))))
(/ (* (pow eps 2) (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3))))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2)))))
(/ (* (pow eps 2) (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3))))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2)))))
(/ (* (pow eps 2) (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3))))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2)))))
(/ (* (pow eps 2) (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3))))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2)))))
(/ (* (pow eps 2) (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3))))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2)))))
(/ (* (pow eps 2) (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3))))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2)))))
(/ (* (pow eps 2) (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3))))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2)))))
(/ (* (pow eps 2) (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3))))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2)))))
(/ (* (pow eps 2) (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3))))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2)))))
(/ (* (pow eps 2) (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3))))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2)))))
(/ (* (pow eps 2) (* (pow x 2) (+ 1/8 (* -1/27 (pow x 3))))) (+ 1/4 (* -1/3 (* x (- (* -1/3 x) 1/2)))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* -1/3 (* (pow eps 2) x)) (* 1/2 (pow eps 2))))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (* x (- (* -1 (* x (+ (* -2/9 (pow eps 2)) (* 2/9 (pow eps 2))))) (* 1/3 (pow eps 2))))))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (* x (- (* x (- (* 2/3 (* x (+ (* -2/9 (pow eps 2)) (* 2/9 (pow eps 2))))) (+ (* -2/9 (pow eps 2)) (* 2/9 (pow eps 2))))) (* 1/3 (pow eps 2))))))
(* -1/3 (* (pow eps 2) (pow x 3)))
(* (pow x 3) (+ (* -1/3 (pow eps 2)) (* 1/2 (/ (pow eps 2) x))))
(* (pow x 3) (- (+ (* -1 (/ (+ (* -3/4 (pow eps 2)) (* 3/4 (pow eps 2))) (pow x 2))) (* -1/3 (pow eps 2))) (* -1/2 (/ (pow eps 2) x))))
(* (pow x 3) (- (+ (* -1/3 (pow eps 2)) (* 3/2 (/ (+ (* -3/4 (pow eps 2)) (* 3/4 (pow eps 2))) (pow x 3)))) (+ (* -3/4 (/ (pow eps 2) (pow x 2))) (+ (* -1/2 (/ (pow eps 2) x)) (* 3/4 (/ (pow eps 2) (pow x 2)))))))
(* -1/3 (* (pow eps 2) (pow x 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow eps 2) x)) (* 1/3 (pow eps 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (* -3/4 (/ (pow eps 2) x)) (* 3/4 (/ (pow eps 2) x))) (* -1/2 (pow eps 2))) x)) (* 1/3 (pow eps 2)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (* -1 (/ (- (* 3/2 (/ (+ (* -3/4 (pow eps 2)) (* 3/4 (pow eps 2))) x)) (+ (* -3/4 (pow eps 2)) (* 3/4 (pow eps 2)))) x)) (* -1/2 (pow eps 2))) x)) (* 1/3 (pow eps 2)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/3 x)))
(* (pow x 2) (+ 1/2 (* -1/3 x)))
(* (pow x 2) (+ 1/2 (* -1/3 x)))
(* -1/3 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3))
(* -1/3 (pow x 3))
(* -1 (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x)))))
1/4
(+ 1/4 (* 1/6 x))
(+ 1/4 (* x (+ 1/6 (* 1/9 x))))
(+ 1/4 (* x (+ 1/6 (* 1/9 x))))
(* 1/9 (pow x 2))
(* (pow x 2) (+ 1/9 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))
(* 1/9 (pow x 2))
(* (pow x 2) (+ 1/9 (* 1/6 (/ 1 x))))
(* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))
(* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))
1
(+ 1 (* 1/2 (* eps x)))
(+ 1 (* x (+ (* 1/4 (* (pow eps 2) x)) (* 1/2 eps))))
(+ 1 (* x (+ (* 1/2 eps) (* x (+ (* 1/12 (* (pow eps 3) x)) (* 1/4 (pow eps 2)))))))
(* 1/2 (+ 1 (exp (* eps x))))
(* 1/2 (+ 1 (exp (* eps x))))
(* 1/2 (+ 1 (exp (* eps x))))
(* 1/2 (+ 1 (exp (* eps x))))
(* 1/2 (+ 1 (exp (* eps x))))
(* 1/2 (+ 1 (exp (* eps x))))
(* 1/2 (+ 1 (exp (* eps x))))
(* 1/2 (+ 1 (exp (* eps x))))
1
(+ 1 (* 1/2 (* eps x)))
(+ 1 (* eps (+ (* 1/4 (* eps (pow x 2))) (* 1/2 x))))
(+ 1 (* eps (+ (* 1/2 x) (* eps (+ (* 1/12 (* eps (pow x 3))) (* 1/4 (pow x 2)))))))
(* 1/2 (+ 1 (exp (* eps x))))
(* 1/2 (+ 1 (exp (* eps x))))
(* 1/2 (+ 1 (exp (* eps x))))
(* 1/2 (+ 1 (exp (* eps x))))
(* 1/2 (+ 1 (exp (* eps x))))
(* 1/2 (+ 1 (exp (* eps x))))
(* 1/2 (+ 1 (exp (* eps x))))
(* 1/2 (+ 1 (exp (* eps x))))
2
(+ 2 (* eps x))
(+ 2 (* x (+ eps (* 1/2 (* (pow eps 2) x)))))
(+ 2 (* x (+ eps (* x (+ (* 1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2)))))))
(+ 1 (exp (* eps x)))
(+ 1 (exp (* eps x)))
(+ 1 (exp (* eps x)))
(+ 1 (exp (* eps x)))
(+ 1 (exp (* eps x)))
(+ 1 (exp (* eps x)))
(+ 1 (exp (* eps x)))
(+ 1 (exp (* eps x)))
2
(+ 2 (* eps x))
(+ 2 (* eps (+ x (* 1/2 (* eps (pow x 2))))))
(+ 2 (* eps (+ x (* eps (+ (* 1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))
(+ 1 (exp (* eps x)))
(+ 1 (exp (* eps x)))
(+ 1 (exp (* eps x)))
(+ 1 (exp (* eps x)))
(+ 1 (exp (* eps x)))
(+ 1 (exp (* eps x)))
(+ 1 (exp (* eps x)))
(+ 1 (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)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(/ 1 (exp x))
(* -1/12 (pow x 2))
(* -1/12 (pow x 2))
(* -1/12 (pow x 2))
(* -1/12 (pow x 2))
(* -1/12 (pow x 2))
(* -1/12 (pow x 2))
(* -1/12 (pow x 2))
(* -1/12 (pow x 2))
(* -1/12 (pow x 2))
(* -1/12 (pow x 2))
(* -1/12 (pow x 2))
(* -1/12 (pow x 2))
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/27 (pow x 3))
(* -1/27 (pow x 3))
(* -1/27 (pow x 3))
(* -1/27 (pow x 3))
(* -1/27 (pow x 3))
(* -1/27 (pow x 3))
(* -1/27 (pow x 3))
(* -1/27 (pow x 3))
(* -1/27 (pow x 3))
(* -1/27 (pow x 3))
(* -1/27 (pow x 3))
(* -1/27 (pow x 3))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 x))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+ 1 (* x (- (* -1/2 (* x (+ 1/2 (+ eps (* -1 (pow (+ 1 eps) 2)))))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))))))))
(+ 1 (* x (- (* x (+ (* -1/2 (* x (+ 1/6 (+ (* -1 (* (+ 1/2 (+ eps (* 1/2 (pow eps 2)))) (+ 1 eps))) (+ (* -1 (* (+ 1/2 (+ eps (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow eps 2))))) (+ 1 eps))) (+ (* 1/2 eps) (* 1/2 (pow eps 2)))))))) (* -1/2 (+ 1/2 (+ eps (* -1 (pow (+ 1 eps) 2))))))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1 binary64) (+.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))) (-.f64 #s(literal -1/2 binary64) (+.f64 eps (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(literal 1/6 binary64)))))))))
(* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ 1 (/ 1 (exp x))))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x)))
(+ (* 1/2 (* eps (- x (/ x (exp x))))) (* 1/2 (+ 1 (/ 1 (exp x)))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (-.f64 x (/.f64 x (exp.f64 x)))))
(+ (* 1/2 (+ 1 (/ 1 (exp x)))) (* eps (+ (* 1/2 (* eps (- (* 1/2 (pow x 2)) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x))))))) (* 1/2 (- x (/ x (exp x)))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 x (/.f64 x (exp.f64 x))) (*.f64 eps (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (exp.f64 x))))))))
(+ (* 1/2 (+ 1 (/ 1 (exp x)))) (* eps (+ (* 1/2 (- x (/ x (exp x)))) (* eps (+ (* 1/2 (* eps (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (+ (* -1/2 (/ (pow x 3) (exp x))) (* 1/6 (/ (pow x 3) (exp x)))))))) (* 1/2 (- (* 1/2 (pow x 2)) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 x))) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 x (exp.f64 x)))) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (+.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (exp.f64 x))) (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))) (exp.f64 x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (exp.f64 x)))))))))
(* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
2
#s(literal 2 binary64)
(+ 2 (* -1 x))
(-.f64 #s(literal 2 binary64) x)
(+ 2 (* x (- (* -1 (* x (+ 1/2 (+ eps (* -1 (pow (+ 1 eps) 2)))))) 1)))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal -1/2 binary64) (+.f64 eps (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))))))))
(+ 2 (* x (- (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (* (+ 1/2 (+ eps (* 1/2 (pow eps 2)))) (+ 1 eps))) (+ (* -1 (* (+ 1/2 (+ eps (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow eps 2))))) (+ 1 eps))) (+ (* 1/2 eps) (* 1/2 (pow eps 2)))))))) (+ 1/2 (+ eps (* -1 (pow (+ 1 eps) 2)))))) 1)))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (-.f64 #s(literal -1/2 binary64) (+.f64 eps (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1 binary64) (+.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))) (-.f64 #s(literal -1/2 binary64) (+.f64 eps (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) eps)) #s(literal 1/6 binary64)))))))))
(+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ 1 (/ 1 (exp x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+ 1 (+ (* eps (- x (/ x (exp x)))) (/ 1 (exp x))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 eps (-.f64 x (/.f64 x (exp.f64 x)))))
(+ 1 (+ (* eps (- (+ x (* eps (- (* 1/2 (pow x 2)) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x))))))) (/ x (exp x)))) (/ 1 (exp x))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 eps (+.f64 (-.f64 x (/.f64 x (exp.f64 x))) (*.f64 eps (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (exp.f64 x)))))))
(+ 1 (+ (* eps (- (+ x (* eps (- (+ (* 1/2 (pow x 2)) (* eps (- (* 1/6 (pow x 3)) (+ (* -1 (* x (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x)))))) (+ (* -1/2 (/ (pow x 3) (exp x))) (* 1/6 (/ (pow x 3) (exp x)))))))) (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x))))))) (/ x (exp x)))) (/ 1 (exp x))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 eps (+.f64 x (-.f64 (*.f64 eps (+.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (exp.f64 x))) (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))) (exp.f64 x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))) (exp.f64 x)))))) (/.f64 x (exp.f64 x))))))
(+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (exp (* eps x)) (/ 1 (* (exp x) (exp (* eps x)))))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x (+ 1 eps))))
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))
(+ 1 (* x (- (* -1 (* x (+ 1/2 (+ eps (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow eps 2))))))) (+ 1 eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (-.f64 #s(literal -1/2 binary64) (+.f64 eps (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))) (-.f64 #s(literal -1 binary64) eps))))
(+ 1 (* x (- (* x (- (* -1 (* x (+ 1/6 (+ (* -1 (* (+ 1/2 (+ eps (* 1/2 (pow eps 2)))) (+ 1 eps))) (+ (* -1 (* (+ 1/2 (+ eps (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow eps 2))))) (+ 1 eps))) (+ (* 1/6 (pow eps 3)) (+ (* 1/2 eps) (* 1/2 (pow eps 2))))))))) (+ 1/2 (+ eps (+ (* -1 (pow (+ 1 eps) 2)) (* 1/2 (pow eps 2))))))) (+ 1 eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (-.f64 (-.f64 #s(literal -1/2 binary64) (+.f64 eps (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1 binary64) (+.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))) (-.f64 #s(literal -1/2 binary64) (+.f64 eps (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))))) (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) eps)) (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)))) #s(literal 1/6 binary64)))))) (-.f64 #s(literal -1 binary64) eps))))
(/ 1 (* (exp x) (exp (* eps x))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(/ 1 (* (exp x) (exp (* eps x))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(/ 1 (* (exp x) (exp (* eps x))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(/ 1 (* (exp x) (exp (* eps x))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(/ 1 (* (exp x) (exp (* eps x))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(/ 1 (* (exp x) (exp (* eps x))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(/ 1 (* (exp x) (exp (* eps x))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(/ 1 (* (exp x) (exp (* eps x))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(/ 1 (exp x))
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(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/6 binary64) x) (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/6 binary64) x) (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(* 1/9 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/9 binary64))
(* (pow x 2) (+ 1/9 (* 1/6 (/ 1 x))))
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/6 binary64) x)))
(* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/6 binary64) x) (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
(* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/6 binary64) x) (+.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(+ 1 (* x (+ (* 1/4 (* (pow eps 2) x)) (* 1/2 eps))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 (*.f64 x (*.f64 x eps)) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (+ (* 1/2 eps) (* x (+ (* 1/12 (* (pow eps 3) x)) (* 1/4 (pow eps 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 (*.f64 eps (*.f64 x (*.f64 eps eps))) #s(literal 1/12 binary64)) (*.f64 eps (*.f64 eps #s(literal 1/4 binary64))))))))
(* 1/2 (+ 1 (exp (* eps x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ 1 (exp (* eps x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ 1 (exp (* eps x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ 1 (exp (* eps x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ 1 (exp (* eps x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ 1 (exp (* eps x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ 1 (exp (* eps x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ 1 (exp (* eps x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(+ 1 (* eps (+ (* 1/4 (* eps (pow x 2))) (* 1/2 x))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 (*.f64 x (*.f64 x eps)) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* eps (+ (* 1/2 x) (* eps (+ (* 1/12 (* eps (pow x 3))) (* 1/4 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 eps (+.f64 (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))))))
(* 1/2 (+ 1 (exp (* eps x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ 1 (exp (* eps x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ 1 (exp (* eps x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ 1 (exp (* eps x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ 1 (exp (* eps x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ 1 (exp (* eps x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ 1 (exp (* eps x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ 1 (exp (* eps x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
2
#s(literal 2 binary64)
(+ 2 (* eps x))
(+.f64 #s(literal 2 binary64) (*.f64 x eps))
(+ 2 (* x (+ eps (* 1/2 (* (pow eps 2) x)))))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))))
(+ 2 (* x (+ eps (* x (+ (* 1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2)))))))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 x (*.f64 eps eps)))))))))
(+ 1 (exp (* eps x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))
(+ 1 (exp (* eps x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))
(+ 1 (exp (* eps x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))
(+ 1 (exp (* eps x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))
(+ 1 (exp (* eps x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))
(+ 1 (exp (* eps x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))
(+ 1 (exp (* eps x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))
(+ 1 (exp (* eps x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))
2
#s(literal 2 binary64)
(+ 2 (* eps x))
(+.f64 #s(literal 2 binary64) (*.f64 x eps))
(+ 2 (* eps (+ x (* 1/2 (* eps (pow x 2))))))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))))
(+ 2 (* eps (+ x (* eps (+ (* 1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))
(+.f64 #s(literal 2 binary64) (*.f64 eps (+.f64 x (*.f64 eps (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 x (*.f64 x x)))))))))
(+ 1 (exp (* eps x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))
(+ 1 (exp (* eps x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))
(+ 1 (exp (* eps x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))
(+ 1 (exp (* eps x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))
(+ 1 (exp (* eps x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))
(+ 1 (exp (* eps x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))
(+ 1 (exp (* eps x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))
(+ 1 (exp (* eps x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/ 1 (exp x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(* -1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/12 binary64)))
(* -1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/12 binary64)))
(* -1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/12 binary64)))
(* -1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/12 binary64)))
(* -1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/12 binary64)))
(* -1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/12 binary64)))
(* -1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/12 binary64)))
(* -1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/12 binary64)))
(* -1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/12 binary64)))
(* -1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/12 binary64)))
(* -1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/12 binary64)))
(* -1/12 (pow x 2))
(*.f64 x (*.f64 x #s(literal -1/12 binary64)))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/3 x)
(*.f64 x #s(literal -1/3 binary64))
(* -1/27 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))
(* -1/27 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))
(* -1/27 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))
(* -1/27 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))
(* -1/27 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))
(* -1/27 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))
(* -1/27 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))
(* -1/27 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))
(* -1/27 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))
(* -1/27 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))
(* -1/27 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))
(* -1/27 (pow x 3))
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))

eval135.0ms (0.9%)

Compiler

Compiled 25326 to 1973 computations (92.2% saved)

prune143.0ms (0.9%)

Pruning

32 alts after pruning (28 fresh and 4 done)

PrunedKeptTotal
New1025111036
Fresh71724
Picked325
Done123
Total1036321068
Accuracy
100.0%
Counts
1068 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.2%
(-.f64 (/.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))))
31.2%
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
53.5%
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
31.8%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
60.5%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))
28.7%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))))
62.1%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) #s(literal 1/4 binary64))))
76.4%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
55.7%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/4 binary64))))))))
56.5%
(+.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 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (/.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 #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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
53.5%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))
52.5%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
60.5%
(+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 eps (+.f64 (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))))))
43.5%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
64.8%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
55.8%
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
42.6%
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 eps eps))
36.2%
(*.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1/4 binary64))
26.1%
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) x) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))
21.8%
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) x)))
✓46.3%
(*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/4 binary64)))
24.0%
(*.f64 (*.f64 x eps) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 eps eps)))
21.1%
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
✓35.9%
(*.f64 eps (*.f64 eps (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))
87.0%
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64)))) (exp.f64 (*.f64 x eps))))
87.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
58.1%
(*.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 x (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64))))))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
87.4%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))))
✓64.3%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
18.1%
(*.f64 #s(literal -1/3 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x eps)))))
70.3%
(exp.f64 (-.f64 #s(literal 0 binary64) x))
✓44.0%
#s(literal 1 binary64)
Compiler

Compiled 2410 to 771 computations (68% saved)

regimes86.0ms (0.6%)

Counts
68 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 eps (*.f64 eps (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1/4 binary64))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 eps eps))
(*.f64 #s(literal -1/3 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x eps)))))
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))
(*.f64 (*.f64 x eps) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 eps eps)))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) x) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 eps (*.f64 eps #s(literal -1/3 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) x)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.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 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/12 binary64))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/6 binary64)))) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 eps (+.f64 (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 eps eps)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (-.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/6 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/4 binary64))) eps)) eps)) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps eps)) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/4 binary64))))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
(+.f64 #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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(+.f64 #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) #s(literal 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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))))))))) (+.f64 (/.f64 #s(literal 1/2 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 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (/.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 #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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(+.f64 #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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (/.f64 #s(literal 1/2 binary64) 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 #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 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 #s(literal 1 binary64) (+.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 x (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64))))))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (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 (*.f64 x (+.f64 (*.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 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))) #s(literal -1 binary64))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (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 eps)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (*.f64 x eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) #s(literal 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 (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (*.f64 x eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 x (/.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64)))) (exp.f64 (*.f64 x eps))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.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 (pow.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)))) #s(literal 2 binary64)) (pow.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)))) #s(literal 2 binary64)))))
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Calls

4 calls:

20.0ms
eps
20.0ms
x
17.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
16.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
99.2%1x
99.2%1eps
99.2%1(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
99.2%1(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes48.0ms (0.3%)

Counts
58 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 eps (*.f64 eps (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1/4 binary64))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 eps eps))
(*.f64 #s(literal -1/3 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x eps)))))
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))
(*.f64 (*.f64 x eps) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 eps eps)))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) x) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 eps (*.f64 eps #s(literal -1/3 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) x)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.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 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/12 binary64))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/6 binary64)))) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 eps (+.f64 (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 eps eps)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (-.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/6 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/4 binary64))) eps)) eps)) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps eps)) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/4 binary64))))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
(+.f64 #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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(+.f64 #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) #s(literal 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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))))))))) (+.f64 (/.f64 #s(literal 1/2 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 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (/.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 #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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(+.f64 #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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (/.f64 #s(literal 1/2 binary64) 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 #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 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 #s(literal 1 binary64) (+.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 x (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64))))))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (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 (*.f64 x (+.f64 (*.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 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))) #s(literal -1 binary64))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (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 eps)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))))
Outputs
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))))
Calls

2 calls:

20.0ms
x
18.0ms
eps
Results
AccuracySegmentsBranch
92.3%2x
100.0%2eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes28.0ms (0.2%)

Counts
57 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 eps (*.f64 eps (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1/4 binary64))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 eps eps))
(*.f64 #s(literal -1/3 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x eps)))))
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))
(*.f64 (*.f64 x eps) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 eps eps)))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) x) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 eps (*.f64 eps #s(literal -1/3 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) x)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.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 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/12 binary64))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/6 binary64)))) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 eps (+.f64 (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 eps eps)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (-.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/6 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/4 binary64))) eps)) eps)) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps eps)) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/4 binary64))))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
(+.f64 #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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(+.f64 #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) #s(literal 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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))))))))) (+.f64 (/.f64 #s(literal 1/2 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 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (/.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 #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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(+.f64 #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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (/.f64 #s(literal 1/2 binary64) 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 #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 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 #s(literal 1 binary64) (+.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 x (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64))))))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (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 (*.f64 x (+.f64 (*.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 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))) #s(literal -1 binary64))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Outputs
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Calls

1 calls:

17.0ms
eps
Results
AccuracySegmentsBranch
100.0%2eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes28.0ms (0.2%)

Counts
56 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 eps (*.f64 eps (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1/4 binary64))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 eps eps))
(*.f64 #s(literal -1/3 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x eps)))))
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))
(*.f64 (*.f64 x eps) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 eps eps)))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) x) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 eps (*.f64 eps #s(literal -1/3 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) x)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.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 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/12 binary64))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/6 binary64)))) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 eps (+.f64 (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 eps eps)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (-.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/6 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/4 binary64))) eps)) eps)) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps eps)) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/4 binary64))))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
(+.f64 #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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(+.f64 #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) #s(literal 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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))))))))) (+.f64 (/.f64 #s(literal 1/2 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 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (/.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 #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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(+.f64 #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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (/.f64 #s(literal 1/2 binary64) 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 #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 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 #s(literal 1 binary64) (+.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 x (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64))))))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (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 (*.f64 x (+.f64 (*.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 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))) #s(literal -1 binary64))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
Outputs
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
Calls

1 calls:

16.0ms
eps
Results
AccuracySegmentsBranch
94.4%2eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes41.0ms (0.3%)

Counts
53 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 eps (*.f64 eps (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1/4 binary64))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 eps eps))
(*.f64 #s(literal -1/3 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x eps)))))
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))
(*.f64 (*.f64 x eps) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 eps eps)))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) x) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 eps (*.f64 eps #s(literal -1/3 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) x)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.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 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/12 binary64))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/6 binary64)))) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 eps (+.f64 (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 eps eps)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (-.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/6 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/4 binary64))) eps)) eps)) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps eps)) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/4 binary64))))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
(+.f64 #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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(+.f64 #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) #s(literal 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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))))))))) (+.f64 (/.f64 #s(literal 1/2 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 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (/.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 #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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(+.f64 #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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (/.f64 #s(literal 1/2 binary64) 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 #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 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 #s(literal 1 binary64) (+.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 x (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64))))))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Outputs
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+.f64 #s(literal 1 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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
Calls

2 calls:

17.0ms
x
16.0ms
eps
Results
AccuracySegmentsBranch
90.9%3x
91.4%2eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes23.0ms (0.1%)

Counts
46 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 eps (*.f64 eps (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1/4 binary64))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 eps eps))
(*.f64 #s(literal -1/3 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x eps)))))
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))
(*.f64 (*.f64 x eps) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 eps eps)))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) x) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 eps (*.f64 eps #s(literal -1/3 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) x)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.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 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/12 binary64))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/6 binary64)))) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 eps (+.f64 (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 eps eps)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (-.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/6 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/4 binary64))) eps)) eps)) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps eps)) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/4 binary64))))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
(+.f64 #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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(+.f64 #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) #s(literal 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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))))))))) (+.f64 (/.f64 #s(literal 1/2 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 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (/.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 #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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(+.f64 #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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
Outputs
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
Calls

1 calls:

14.0ms
eps
Results
AccuracySegmentsBranch
90.7%2eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes34.0ms (0.2%)

Counts
44 → 4
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 eps (*.f64 eps (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1/4 binary64))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 eps eps))
(*.f64 #s(literal -1/3 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x eps)))))
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))
(*.f64 (*.f64 x eps) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 eps eps)))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) x) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 eps (*.f64 eps #s(literal -1/3 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) x)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.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 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/12 binary64))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/6 binary64)))) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 eps (+.f64 (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 eps eps)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (-.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/6 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/4 binary64))) eps)) eps)) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps eps)) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/4 binary64))))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
(+.f64 #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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(+.f64 #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) #s(literal 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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))))))))) (+.f64 (/.f64 #s(literal 1/2 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 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (/.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 #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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(+.f64 #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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
Outputs
(+.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) eps) (*.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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/4 binary64))))))))
(*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/4 binary64)))
Calls

2 calls:

13.0ms
eps
13.0ms
x
Results
AccuracySegmentsBranch
88.0%4x
78.9%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes18.0ms (0.1%)

Counts
42 → 4
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 eps (*.f64 eps (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1/4 binary64))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 eps eps))
(*.f64 #s(literal -1/3 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x eps)))))
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))
(*.f64 (*.f64 x eps) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 eps eps)))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) x) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 eps (*.f64 eps #s(literal -1/3 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) x)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.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 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/12 binary64))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/6 binary64)))) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 eps (+.f64 (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 eps eps)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (-.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/6 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/4 binary64))) eps)) eps)) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps eps)) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/4 binary64))))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) #s(literal 1/6 binary64))) (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) #s(literal -1/2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
(+.f64 #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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(+.f64 #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) #s(literal 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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/4 binary64))))))))
(*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/4 binary64)))
Calls

1 calls:

13.0ms
x
Results
AccuracySegmentsBranch
87.9%4x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts
36 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 eps (*.f64 eps (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1/4 binary64))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 eps eps))
(*.f64 #s(literal -1/3 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x eps)))))
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))
(*.f64 (*.f64 x eps) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 eps eps)))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) x) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))
(*.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 eps (*.f64 eps #s(literal -1/3 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) x)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) #s(literal 1/4 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.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 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/12 binary64))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/6 binary64)))) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 eps (+.f64 (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64))) (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 eps eps)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) (*.f64 (*.f64 x x) #s(literal 1/9 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (-.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/6 binary64)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/4 binary64))) eps)) eps)) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps eps)) eps))))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))))
(*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/4 binary64)))
Calls

1 calls:

10.0ms
x
Results
AccuracySegmentsBranch
86.1%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

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

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
83.6%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0%)

Counts
18 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 eps (*.f64 eps (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1/4 binary64))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 eps eps))
(*.f64 #s(literal -1/3 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x eps)))))
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))
(*.f64 (*.f64 x eps) (*.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 eps eps)))
(*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) x) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/4 binary64)))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
81.7%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

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

2 calls:

7.0ms
x
4.0ms
eps
Results
AccuracySegmentsBranch
72.6%2eps
77.7%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts
9 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 eps (*.f64 eps (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1/4 binary64))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 eps eps))
(*.f64 #s(literal -1/3 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x eps)))))
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/3 binary64)))))
Outputs
(*.f64 #s(literal -1/3 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x eps)))))
#s(literal 1 binary64)
(*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/4 binary64)))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
77.7%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts
7 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 eps (*.f64 eps (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))
(*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1/4 binary64))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 eps eps))
Outputs
(*.f64 eps (*.f64 eps (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))
#s(literal 1 binary64)
(*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/4 binary64)))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
77.7%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

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

2 calls:

6.0ms
eps
2.0ms
x
Results
AccuracySegmentsBranch
63.5%2eps
73.7%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

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

2 calls:

2.0ms
x
2.0ms
eps
Results
AccuracySegmentsBranch
52.5%1eps
52.5%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.5b remaining (-1.5%)

Threshold costs -0.5b (-1.5%)

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

2 calls:

1.0ms
eps
1.0ms
x
Results
AccuracySegmentsBranch
44.0%1x
44.0%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch37.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
33.0ms
5.2273427627065606e-8
0.2932246028906897
Results
18.0ms144×0valid
9.0ms24×0unsamplable
Compiler

Compiled 279 to 194 computations (30.5% saved)

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

bsearch35.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
31.0ms
5.2273427627065606e-8
0.2932246028906897
Results
23.0ms144×0valid
3.0ms22×0unsamplable
Compiler

Compiled 279 to 212 computations (24% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 4.0ms (27.5% of total)
ival-sub: 2.0ms (13.8% of total)
ival-div: 2.0ms (13.8% of total)
ival-add: 2.0ms (13.8% of total)
ival-exp: 2.0ms (13.8% of total)
ival-neg: 2.0ms (13.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch38.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
34.0ms
5.2273427627065606e-8
0.2932246028906897
Results
22.0ms144×0valid
3.0ms22×0unsamplable
Compiler

Compiled 504 to 329 computations (34.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 6.0ms (32.5% of total)
ival-mult: 4.0ms (21.7% of total)
ival-sub: 2.0ms (10.8% of total)
ival-add: 2.0ms (10.8% of total)
ival-exp: 2.0ms (10.8% of total)
ival-neg: 2.0ms (10.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch37.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
30.0ms
5.2273427627065606e-8
0.2932246028906897
Results
18.0ms144×0valid
3.0ms24×0unsamplable
Compiler

Compiled 657 to 338 computations (48.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 4.0ms (27.1% of total)
ival-div: 3.0ms (20.3% of total)
ival-sub: 2.0ms (13.6% of total)
ival-add: 2.0ms (13.6% of total)
ival-exp: 2.0ms (13.6% of total)
ival-neg: 2.0ms (13.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch35.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
31.0ms
5.2273427627065606e-8
0.2932246028906897
Results
20.0ms144×0valid
5.0ms35×0unsamplable
Compiler

Compiled 621 to 311 computations (49.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 5.0ms (27.6% of total)
ival-sub: 4.0ms (22% of total)
ival-div: 3.0ms (16.5% of total)
ival-add: 3.0ms (16.5% of total)
ival-exp: 2.0ms (11% of total)
ival-neg: 2.0ms (11% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch139.0ms (0.9%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
40.0ms
155.8047772055707
808632920982285.4
41.0ms
4.022109601368665e-135
1.154023484848347e-132
44.0ms
-7.691283228432888e-118
-1.5202724690026382e-128
Results
41.0ms303×0valid
34.0ms54×2valid
31.0ms91×1valid
Compiler

Compiled 2120 to 1101 computations (48.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-exp: 21.0ms (26% of total)
ival-mult: 20.0ms (24.7% of total)
ival-div: 10.0ms (12.4% of total)
ival-sub: 10.0ms (12.4% of total)
ival-add: 7.0ms (8.7% of total)
backward-pass: 6.0ms (7.4% of total)
ival-neg: 6.0ms (7.4% of total)
const: 1.0ms (1.2% of total)

bsearch124.0ms (0.8%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
27.0ms
155.8047772055707
808632920982285.4
39.0ms
4.022109601368665e-135
1.154023484848347e-132
47.0ms
-7.691283228432888e-118
-1.5202724690026382e-128
Results
44.0ms337×0valid
27.0ms44×2valid
23.0ms67×1valid
Compiler

Compiled 1380 to 871 computations (36.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-exp: 16.0ms (23.1% of total)
ival-mult: 16.0ms (23.1% of total)
ival-div: 11.0ms (15.9% of total)
ival-sub: 9.0ms (13% of total)
ival-neg: 6.0ms (8.7% of total)
ival-add: 6.0ms (8.7% of total)
backward-pass: 5.0ms (7.2% of total)
const: 1.0ms (1.4% of total)

bsearch99.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
43.0ms
1.343351433957843e-7
89.68379679025455
46.0ms
-7.691283228432888e-118
-1.5202724690026382e-128
Results
28.0ms70×1valid
27.0ms49×2valid
23.0ms185×0valid
Compiler

Compiled 666 to 462 computations (30.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-mult: 17.0ms (28.9% of total)
ival-exp: 12.0ms (20.4% of total)
ival-div: 7.0ms (11.9% of total)
ival-sub: 7.0ms (11.9% of total)
backward-pass: 5.0ms (8.5% of total)
ival-add: 5.0ms (8.5% of total)
ival-neg: 4.0ms (6.8% of total)
const: 1.0ms (1.7% of total)

bsearch52.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
47.0ms
1.343351433957843e-7
89.68379679025455
Results
17.0ms37×1valid
16.0ms89×0valid
10.0ms18×2valid
Compiler

Compiled 306 to 212 computations (30.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
backward-pass: 7.0ms (23.6% of total)
ival-exp: 6.0ms (20.2% of total)
ival-mult: 6.0ms (20.2% of total)
ival-div: 3.0ms (10.1% of total)
ival-sub: 3.0ms (10.1% of total)
ival-neg: 2.0ms (6.7% of total)
ival-add: 2.0ms (6.7% of total)
const: 0.0ms (0% of total)

bsearch45.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
41.0ms
155.8047772055707
808632920982285.4
Results
15.0ms122×0valid
12.0ms15×2valid
7.0ms23×1valid
Compiler

Compiled 296 to 203 computations (31.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-add: 6.0ms (22% of total)
ival-mult: 6.0ms (22% of total)
ival-exp: 5.0ms (18.4% of total)
ival-div: 3.0ms (11% of total)
ival-sub: 3.0ms (11% of total)
backward-pass: 2.0ms (7.3% of total)
ival-neg: 2.0ms (7.3% of total)
const: 0.0ms (0% of total)

bsearch107.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
46.0ms
1.343351433957843e-7
89.68379679025455
51.0ms
-0.48230916860765155
-1.3639563763781194e-14
Results
31.0ms55×2valid
29.0ms66×1valid
27.0ms183×0valid
Compiler

Compiled 550 to 394 computations (28.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-exp: 18.0ms (28.4% of total)
ival-mult: 14.0ms (22.1% of total)
ival-div: 7.0ms (11.1% of total)
ival-sub: 7.0ms (11.1% of total)
backward-pass: 6.0ms (9.5% of total)
ival-add: 6.0ms (9.5% of total)
ival-neg: 4.0ms (6.3% of total)
const: 1.0ms (1.6% of total)

bsearch97.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
41.0ms
1.343351433957843e-7
89.68379679025455
47.0ms
-0.48230916860765155
-1.3639563763781194e-14
Results
28.0ms45×2valid
26.0ms184×0valid
23.0ms75×1valid
Compiler

Compiled 360 to 261 computations (27.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-mult: 16.0ms (26.8% of total)
ival-exp: 12.0ms (20.1% of total)
ival-div: 9.0ms (15.1% of total)
ival-sub: 7.0ms (11.7% of total)
backward-pass: 5.0ms (8.4% of total)
ival-add: 5.0ms (8.4% of total)
ival-neg: 4.0ms (6.7% of total)
const: 1.0ms (1.7% of total)

bsearch98.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
39.0ms
1.343351433957843e-7
89.68379679025455
47.0ms
-0.48230916860765155
-1.3639563763781194e-14
Results
30.0ms50×2valid
23.0ms185×0valid
21.0ms69×1valid
Compiler

Compiled 340 to 251 computations (26.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-exp: 13.0ms (22.8% of total)
ival-mult: 12.0ms (21% of total)
ival-sub: 9.0ms (15.8% of total)
ival-div: 7.0ms (12.3% of total)
backward-pass: 5.0ms (8.8% of total)
ival-add: 5.0ms (8.8% of total)
ival-neg: 4.0ms (7% of total)
const: 1.0ms (1.8% of total)

bsearch98.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
41.0ms
1.343351433957843e-7
89.68379679025455
47.0ms
-0.48230916860765155
-1.3639563763781194e-14
Results
30.0ms54×2valid
25.0ms181×0valid
23.0ms69×1valid
Compiler

Compiled 340 to 251 computations (26.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-exp: 15.0ms (24.8% of total)
ival-mult: 13.0ms (21.5% of total)
ival-div: 9.0ms (14.9% of total)
ival-sub: 7.0ms (11.6% of total)
ival-neg: 6.0ms (9.9% of total)
backward-pass: 6.0ms (9.9% of total)
ival-add: 5.0ms (8.3% of total)
const: 1.0ms (1.7% of total)

simplify28.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
138×*-commutative_binary64
86×+-commutative_binary64
24×sub-neg_binary64
18×neg-mul-1_binary64
16×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0176711
1284711
2305711
3321711
4336711
5342711
6345711
7346711
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(if (<=.f64 eps #s(literal 5224175567749775/18014398509481984 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps))))))
(if (<=.f64 eps #s(literal 5224175567749775/18014398509481984 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(if (<=.f64 eps #s(literal 5224175567749775/18014398509481984 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (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 5224175567749775/18014398509481984 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))))
(if (<=.f64 eps #s(literal 5224175567749775/18014398509481984 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))))
(if (<=.f64 x #s(literal -5716092316252427/762145642166990290864647761179972242614403843424065222377723867096038022172794340849684107193235344521442121855812163792833978437326241529856 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 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (/.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 #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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))) (if (<=.f64 x #s(literal 6710450746187091/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))))) (if (<=.f64 x #s(literal 600 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/4 binary64)))))))) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/4 binary64))))))
(if (<=.f64 x #s(literal -6048387816237235/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))) (if (<=.f64 x #s(literal 6710450746187091/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))))) (if (<=.f64 x #s(literal 14200000000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/4 binary64)))))))) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/4 binary64))))))
(if (<=.f64 x #s(literal -6633715669421483/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) #s(literal -1/12 binary64))))) (if (<=.f64 x #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))))) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/4 binary64)))))
(if (<=.f64 x #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))))) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/4 binary64))))
(if (<=.f64 x #s(literal 225 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/4 binary64))))
(if (<=.f64 x #s(literal -3504881374004815/18446744073709551616 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x eps))))) (if (<=.f64 x #s(literal 3602879701896397/288230376151711744 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/4 binary64)))))
(if (<=.f64 x #s(literal -534955578137577/9223372036854775808 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 eps (*.f64 x (*.f64 x (*.f64 x eps))))) (if (<=.f64 x #s(literal 519460313115661/590295810358705651712 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/4 binary64)))))
(if (<=.f64 x #s(literal -5902958103587057/590295810358705651712 binary64)) (*.f64 eps (*.f64 eps (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (if (<=.f64 x #s(literal 4911261142184431/9444732965739290427392 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/4 binary64)))))
(if (<=.f64 x #s(literal -8669969714643489/18446744073709551616 binary64)) (*.f64 eps (*.f64 eps (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (if (<=.f64 x #s(literal 8070450532247929/2305843009213693952 binary64)) #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
#s(literal 1 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(if (<=.f64 eps #s(literal 5224175567749775/18014398509481984 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps))))))
(if (<=.f64 eps #s(literal 5224175567749775/18014398509481984 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(if (<=.f64 eps #s(literal 5224175567749775/18014398509481984 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))))
(if (<=.f64 eps #s(literal 5224175567749775/18014398509481984 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (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 5224175567749775/18014398509481984 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (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 5224175567749775/18014398509481984 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.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 #s(literal 1 binary64) eps) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) eps))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))))
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(if (<=.f64 x #s(literal -8669969714643489/18446744073709551616 binary64)) (*.f64 eps (*.f64 eps (*.f64 (*.f64 x x) #s(literal 1/4 binary64)))) (if (<=.f64 x #s(literal 8070450532247929/2305843009213693952 binary64)) #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))))
(if (<=.f64 x #s(literal -8669969714643489/18446744073709551616 binary64)) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (if (<=.f64 x #s(literal 8070450532247929/2305843009213693952 binary64)) #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
#s(literal 1 binary64)

soundness2.6s (16.7%)

Rules
7306×*-lowering-*.f32
7306×*-lowering-*.f64
6214×*-lowering-*.f32
6214×*-lowering-*.f64
6210×*-lowering-*.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
06887181
124836600
086996600
02761965
19151745
234911652
095191652
01926
15826
216323
354323
4147922
5545022
0824822
07029492
125678429
091258429
03774037
113213566
255583461
084453461
048317
1296310
22938302
011181302
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 1999 to 990 computations (50.5% saved)

preprocess126.0ms (0.8%)

Compiler

Compiled 1568 to 422 computations (73.1% saved)

end0.0ms (0%)

Profiling

Loading profile data...