NMSE Section 6.1 mentioned, A

Time bar (total: 14.5s)

analyze42.0ms (0.3%)

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

Compiled 32 to 20 computations (37.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 6.0ms (26.6% of total)
ival-sub: 5.0ms (22.1% of total)
ival-div: 3.0ms (13.3% of total)
ival-add: 3.0ms (13.3% of total)
ival-exp: 3.0ms (13.3% of total)
ival-neg: 2.0ms (8.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample3.1s (21.4%)

Results
985.0ms957×2valid
875.0ms5944×0valid
596.0ms1355×1valid
132.0ms952×0unsamplable
Precisions
Click to see histograms. Total time spent on operations: 2.1s
ival-mult: 688.0ms (32.8% of total)
ival-exp: 369.0ms (17.6% of total)
ival-div: 294.0ms (14% of total)
ival-sub: 271.0ms (12.9% of total)
ival-add: 204.0ms (9.7% of total)
ival-neg: 158.0ms (7.5% of total)
backward-pass: 96.0ms (4.6% of total)
const: 21.0ms (1% of total)
Bogosity

preprocess277.0ms (1.9%)

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

Useful iterations: 4 (0.0ms)

IterNodesCost
063163
1208149
2642138
32278136
47625136
01926
15826
216323
354323
4147922
5545022
0824822
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
Outputs
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
Call 2
Inputs
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) (neg x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) (neg x)))))) 2)
(/ (- (* (+ 1 (/ 1 (neg eps))) (exp (neg (* (- 1 (neg eps)) x)))) (* (- (/ 1 (neg eps)) 1) (exp (neg (* (+ 1 (neg eps)) x))))) 2)
(neg (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) (neg x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) (neg x)))))) 2))
(neg (/ (- (* (+ 1 (/ 1 (neg eps))) (exp (neg (* (- 1 (neg eps)) x)))) (* (- (/ 1 (neg eps)) 1) (exp (neg (* (+ 1 (neg eps)) x))))) 2))
(/ (- (* (+ 1 (/ 1 x)) (exp (neg (* (- 1 x) eps)))) (* (- (/ 1 x) 1) (exp (neg (* (+ 1 x) eps))))) 2)
Outputs
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
(/ (fnmsub (pow (exp x) (+ eps -1)) (- -1 (recip eps)) (/ (+ (recip eps) -1) (exp (fma eps x x)))) 2)
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) (neg x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) (neg x)))))) 2)
(/ (fmsub (+ 1 (recip eps)) (exp (fnmadd eps x x)) (* (+ (recip eps) -1) (exp (fma eps x x)))) 2)
(/ (- (* (+ 1 (/ 1 (neg eps))) (exp (neg (* (- 1 (neg eps)) x)))) (* (- (/ 1 (neg eps)) 1) (exp (neg (* (+ 1 (neg eps)) x))))) 2)
(/ (fnmsub (pow (exp x) (+ eps -1)) (- -1 (recip eps)) (/ (+ (recip eps) -1) (exp (fma eps x x)))) 2)
(neg (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) (neg x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) (neg x)))))) 2))
(/ (fnmsub (exp (fma eps x x)) (- 1 (recip eps)) (* (+ 1 (recip eps)) (exp (fnmadd eps x x)))) 2)
(neg (/ (- (* (+ 1 (/ 1 (neg eps))) (exp (neg (* (- 1 (neg eps)) x)))) (* (- (/ 1 (neg eps)) 1) (exp (neg (* (+ 1 (neg eps)) x))))) 2))
(* (fnmsub (pow (exp x) (+ eps -1)) (- -1 (recip eps)) (/ (+ (recip eps) -1) (exp (fma eps x x)))) -1/2)
(/ (- (* (+ 1 (/ 1 x)) (exp (neg (* (- 1 x) eps)))) (* (- (/ 1 x) 1) (exp (neg (* (+ 1 x) eps))))) 2)
(/ (+ (/ (+ 1 (recip x)) (exp (fnmadd eps x eps))) (/ (- 1 (recip x)) (exp (fma eps x eps)))) 2)
Symmetry

(abs eps)

explain350.0ms (2.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
735(6.7335825577387105e-249 2.390423229518389e-12)0-(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
10-0-(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
10-0-(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
00-0-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-(/.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
99.0ms364×0valid
85.0ms72×2valid
29.0ms76×1valid
Compiler

Compiled 319 to 59 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 131.0ms
ival-add: 39.0ms (29.7% of total)
ival-exp: 26.0ms (19.8% of total)
ival-mult: 26.0ms (19.8% of total)
ival-div: 12.0ms (9.1% of total)
ival-sub: 11.0ms (8.4% of total)
backward-pass: 9.0ms (6.9% of total)
ival-neg: 7.0ms (5.3% of total)
const: 1.0ms (0.8% of total)

eval0.0ms (0%)

Compiler

Compiled 27 to 18 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶72.3%
(-.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)

simplify155.0ms (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)

localize138.0ms (1%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
✓accuracy100.0%
(*.f64 (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 eps #s(literal -1 binary64))))
✓accuracy72.4%
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
Results
44.0ms180×0valid
36.0ms39×1valid
36.0ms37×2valid
Compiler

Compiled 101 to 19 computations (81.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-mult: 26.0ms (31% of total)
backward-pass: 24.0ms (28.6% of total)
ival-exp: 16.0ms (19.1% of total)
ival-div: 6.0ms (7.1% of total)
ival-add: 6.0ms (7.1% of total)
ival-sub: 5.0ms (6% of total)
const: 1.0ms (1.2% of total)

series65.0ms (0.4%)

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

30 calls:

TimeVariablePointExpression
53.0ms
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)))

rewrite471.0ms (3.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01859
112859
2110359
0845059
Stop Event
1×iter limit
1×node limit
Counts
5 → 238
Calls
Call 1
Inputs
(- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps)))
(exp (* x (+ eps -1)))
(* x (+ eps -1))
(* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))
Outputs
(+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))
(+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))
(+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (neg.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))))
(+.f64 (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))
(+.f64 (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (+.f64 (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))
(+.f64 (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))
(+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))) (neg.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))))))
(+.f64 (/.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (neg.f64 (/.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))))
(+.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 eps #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))
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(*.f64 (+.f64 (/.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (/.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -1/8 binary64))) (*.f64 #s(literal -1/8 binary64) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (*.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))))
(*.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) eps)))))
(*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1/8 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) eps)))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps)) #s(literal -1/4 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 eps (*.f64 eps eps))))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))))
(*.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps)))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps)) #s(literal -1/4 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps)) #s(literal -1/4 binary64)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 eps (*.f64 eps eps))))) (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal -1/2 binary64) eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))))
(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps)) #s(literal -1/4 binary64)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps)))) (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))

simplify263.0ms (1.8%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
02872189
19622025
236991787
086091787
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
Calls
Call 1
Inputs
1
(+ 1 (* x (- (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))
(+ 1 (* x (- (+ (* x (- (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))
(+ 1 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(- (+ (* 1/2 (exp (* -1 x))) (* 1/2 (* x (exp (* -1 x))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x))))))
(- (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (* 1/4 (* (pow x 2) (exp (* -1 x))))) (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x))))))
(- (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/240 (* (pow x 5) (exp (* -1 x)))) (* 1/48 (* (pow x 4) (exp (* -1 x))))) (+ (* -1/48 (* (pow x 4) (exp (* -1 x)))) (* -1/240 (* (pow x 5) (exp (* -1 x))))))))) (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x))))))
(- (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/240 (* (pow x 5) (exp (* -1 x)))) (+ (* 1/48 (* (pow x 4) (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/10080 (* (pow x 7) (exp (* -1 x)))) (* 1/1440 (* (pow x 6) (exp (* -1 x))))) (+ (* -1/1440 (* (pow x 6) (exp (* -1 x)))) (* -1/10080 (* (pow x 7) (exp (* -1 x))))))))) (+ (* -1/48 (* (pow x 4) (exp (* -1 x)))) (* -1/240 (* (pow x 5) (exp (* -1 x))))))))) (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x))))))
(- (* 1/2 (exp (* x (- eps 1)))) (* -1/2 (exp (* -1 (* x (+ 1 eps))))))
(- (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps))) (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps))))
(- (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps))) (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps))))
(- (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps))) (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps))))
(- (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))
(- (+ (* -1 (/ (- (* -1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) eps)) (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))
(- (+ (* -1 (/ (- (* -1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) eps)) (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))
(- (+ (* -1 (/ (- (* -1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) eps)) (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))
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(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))
(* 1/2 (/ (exp (* -1 x)) eps))
(/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* 1/2 (exp (* -1 x))) (* 1/2 (* x (exp (* -1 x))))))) eps)
(/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (* x (exp (* -1 x)))))))))) eps)
(/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (* 1/4 (* (pow x 2) (exp (* -1 x))))))))))))) eps)
(* 1/2 (exp (* x (- eps 1))))
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(+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps)))
(* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))
(+ (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps)))
(+ (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps)))
(+ (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps)))
1
(+ 1 (* x (- eps 1)))
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(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* -1 x))
(+ (exp (* -1 x)) (* eps (* x (exp (* -1 x)))))
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))
(+ (exp (* -1 x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x))))))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* -1 x)
(+ (* -1 x) (* eps x))
(+ (* -1 x) (* eps x))
(+ (* -1 x) (* eps x))
(* eps x)
(* eps (+ x (* -1 (/ x eps))))
(* eps (+ x (* -1 (/ x eps))))
(* eps (+ x (* -1 (/ x eps))))
(* eps x)
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(- (* 1/2 (/ 1 eps)) 1/2)
(- (+ (* -1 (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))) (* 1/2 (/ 1 eps))) 1/2)
(- (+ (* 1/2 (/ 1 eps)) (* x (+ (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))))) 1/2)
(- (+ (* 1/2 (/ 1 eps)) (* x (+ (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)))))))) 1/2)
(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))
(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))
(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))
(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))
(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))
(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))
(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))
(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))
(* 1/2 (/ (exp (* -1 x)) eps))
(/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x))))))) eps)
(/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* -1/2 (exp (* -1 x))) (+ (* -1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (* x (exp (* -1 x)))))))))) eps)
(/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* -1/2 (exp (* -1 x))) (+ (* -1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))))))))) eps)
(* -1/2 (exp (* -1 (* x (+ 1 eps)))))
(+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps)))
(+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps)))
(+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps)))
(* -1/2 (exp (* x (- (* -1 eps) 1))))
(+ (* -1/2 (exp (* x (- (* -1 eps) 1)))) (* 1/2 (/ (exp (* x (- (* -1 eps) 1))) eps)))
(+ (* -1/2 (exp (* x (- (* -1 eps) 1)))) (* 1/2 (/ (exp (* x (- (* -1 eps) 1))) eps)))
(+ (* -1/2 (exp (* x (- (* -1 eps) 1)))) (* 1/2 (/ (exp (* x (- (* -1 eps) 1))) eps)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* x (- (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
(+ 1 (* x (- (+ (* x (- (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))))))))
(+ 1 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))
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1
#s(literal 1 binary64)
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(exp (* x (- eps 1)))
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(exp (* x (- eps 1)))
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(exp (* x (- eps 1)))
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(exp (* -1 (* x (+ 1 (* -1 eps)))))
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(exp (* -1 (* x (+ 1 (* -1 eps)))))
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(exp (* -1 (* x (+ 1 (* -1 eps)))))
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(* eps x)
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(- (+ (* 1/2 (/ 1 eps)) (* x (+ (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))))) 1/2)
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(- (+ (* 1/2 (/ 1 eps)) (* x (+ (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)))))))) 1/2)
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(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))
(*.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 (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))
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(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))
(*.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 (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))
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(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))
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(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))
(*.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 (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))
(*.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 (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))
(*.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)) eps))
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1/2 binary64) eps))
(/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x))))))) eps)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))))) eps)
(/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* -1/2 (exp (* -1 x))) (+ (* -1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (* x (exp (* -1 x)))))))))) eps)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (*.f64 eps (+.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)) eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) x))))))) eps)
(/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* -1/2 (exp (* -1 x))) (+ (* -1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))))))))) eps)
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 x))) (*.f64 eps (+.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 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (*.f64 eps (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1/12 binary64) x)))))))))) eps)
(* -1/2 (exp (* -1 (* x (+ 1 eps)))))
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1/2 binary64))
(+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps)))
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(+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps)))
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(+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps)))
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(* -1/2 (exp (* x (- (* -1 eps) 1))))
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1/2 binary64))
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(+ (* -1/2 (exp (* x (- (* -1 eps) 1)))) (* 1/2 (/ (exp (* x (- (* -1 eps) 1))) eps)))
(+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) eps))

eval63.0ms (0.4%)

Compiler

Compiled 20213 to 1138 computations (94.4% saved)

prune67.0ms (0.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New34513358
Fresh000
Picked101
Done000
Total34613359
Accuracy
100.0%
Counts
359 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.1%
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (*.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))) (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))))
61.8%
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
38.5%
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
33.9%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
▶36.5%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
50.3%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
35.9%
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
▶31.9%
(-.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 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))))
41.7%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))))))))
71.1%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))))))))
▶62.6%
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
▶98.0%
(*.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)))))
▶45.6%
#s(literal 1 binary64)
Compiler

Compiled 1092 to 550 computations (49.6% saved)

simplify284.0ms (2%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff512
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))
✓cost-diff512
(*.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))
✓cost-diff896
(+.f64 (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))))
✓cost-diff896
(-.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 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))))
✓cost-diff0
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64))))
✓cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))
✓cost-diff0
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
✓cost-diff0
(-.f64 #s(literal 0 binary64) x)
✓cost-diff0
(exp.f64 (-.f64 #s(literal 0 binary64) x))
✓cost-diff0
(+.f64 x #s(literal 1 binary64))
✓cost-diff128
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
✓cost-diff0
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
✓cost-diff0
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
✓cost-diff0
(+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Rules
3812×*-lowering-*.f32
3812×*-lowering-*.f64
2194×+-lowering-+.f64
2194×+-lowering-+.f32
994×cancel-sign-sub-inv
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
044465
1156462
2638439
34568430
08145430
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* 1/2 (+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps)))))
1/2
(+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps))))
(exp (* x (+ eps -1)))
(* x (+ eps -1))
x
(+ eps -1)
eps
-1
(exp (* x (- -1 eps)))
(* x (- -1 eps))
(- -1 eps)
1
(* (+ x 1) (exp (- 0 x)))
(+ x 1)
x
1
(exp (- 0 x))
(- 0 x)
0
(- (* (+ 1 (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(* (+ 1 (* x (+ eps -1))) (- 1/2 (/ -1/2 eps)))
(+ 1 (* x (+ eps -1)))
1
(* x (+ eps -1))
x
(+ eps -1)
eps
-1
(- 1/2 (/ -1/2 eps))
1/2
(/ -1/2 eps)
-1/2
(* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))
(exp (* x (- -1 eps)))
(* x (- -1 eps))
(- -1 eps)
(+ (/ 1/2 eps) -1/2)
(/ 1/2 eps)
(- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (+ (* (+ (* x (- -1 eps)) 1) (+ (/ 1/2 eps) -1/2)) (* (* x x) (* (+ (/ 1/2 eps) -1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))))
(* (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
(+ (* (+ (* x (- -1 eps)) 1) (+ (/ 1/2 eps) -1/2)) (* (* x x) (* (+ (/ 1/2 eps) -1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))))))))
(* (+ (* x (- -1 eps)) 1) (+ (/ 1/2 eps) -1/2))
(+ (* x (- -1 eps)) 1)
(* x (- -1 eps))
(- -1 eps)
1
(+ (/ 1/2 eps) -1/2)
(/ 1/2 eps)
(* (* x x) (* (+ (/ 1/2 eps) -1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))
(* x x)
(* (+ (/ 1/2 eps) -1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))))))
(+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))
(* (* 1/2 (+ 1 eps)) (+ 1 eps))
(* 1/2 (+ 1 eps))
(+ 1 eps)
(* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))))
-1/6
(* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))
(* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))
(* (+ 1 eps) (+ 1 eps))
Outputs
(* 1/2 (+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (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 #s(literal -1 binary64) eps))) (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)
(exp (* x (- -1 eps)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(* x (- -1 eps))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
1
#s(literal 1 binary64)
(* (+ x 1) (exp (- 0 x)))
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
(exp (- 0 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
(- (* (+ 1 (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(+.f64 (*.f64 (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))
(* (+ 1 (* x (+ eps -1))) (- 1/2 (/ -1/2 eps)))
(*.f64 (+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(+ 1 (* x (+ eps -1)))
(+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* 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)
(- 1/2 (/ -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)
(- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (+ (* (+ (* x (- -1 eps)) 1) (+ (/ 1/2 eps) -1/2)) (* (* x x) (* (+ (/ 1/2 eps) -1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 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 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (+.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps))))))))))
(* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 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)))
(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)
(- 1/2 (/ -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)
(+ (* (+ (* x (- -1 eps)) 1) (+ (/ 1/2 eps) -1/2)) (* (* x x) (* (+ (/ 1/2 eps) -1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))))))))
(*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps))))))))))
(* (+ (* x (- -1 eps)) 1) (+ (/ 1/2 eps) -1/2))
(*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))
(+ (* x (- -1 eps)) 1)
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))
(* x (- -1 eps))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
1
#s(literal 1 binary64)
(+ (/ 1/2 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)
(* (* x x) (* (+ (/ 1/2 eps) -1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps))))))
(* x x)
(*.f64 x x)
(* (+ (/ 1/2 eps) -1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))))))
(*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)))))))
(+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps))))))
(* (* 1/2 (+ 1 eps)) (+ 1 eps))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)))
(* 1/2 (+ 1 eps))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps))
(+ 1 eps)
(+.f64 #s(literal 1 binary64) eps)
(* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 x #s(literal -1/6 binary64))))
-1/6
#s(literal -1/6 binary64)
(* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))
(* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(* (+ 1 eps) (+ 1 eps))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))

localize402.0ms (2.8%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy95.2%
(*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
✓accuracy91.1%
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))
✓accuracy80.6%
(*.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))
✓accuracy63.2%
(-.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 (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))))
✓accuracy100.0%
(exp.f64 (*.f64 x (-.f64 #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)))
✓accuracy99.9%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))
✓accuracy68.8%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) x)
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy100.0%
(exp.f64 (-.f64 #s(literal 0 binary64) x))
✓accuracy100.0%
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
✓accuracy100.0%
(+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
✓accuracy100.0%
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
✓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
146.0ms183×0valid
103.0ms31×2valid
52.0ms42×1valid
Compiler

Compiled 532 to 45 computations (91.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 185.0ms
ival-mult: 80.0ms (43.1% of total)
ival-add: 59.0ms (31.8% of total)
ival-exp: 13.0ms (7% of total)
backward-pass: 12.0ms (6.5% of total)
ival-sub: 9.0ms (4.9% of total)
...c/correct-round.rkt:119:19: 7.0ms (3.8% of total)
ival-div: 5.0ms (2.7% of total)
const: 1.0ms (0.5% of total)

series38.0ms (0.3%)

Counts
20 → 432
Calls
Call 1
Inputs
#<alt (* 1/2 (+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps)))))>
#<alt (+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps))))>
#<alt (exp (* x (+ eps -1)))>
#<alt (* x (+ eps -1))>
#<alt (* (+ x 1) (exp (- 0 x)))>
#<alt (+ x 1)>
#<alt (exp (- 0 x))>
#<alt (- 0 x)>
#<alt (- (* (+ 1 (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))>
#<alt (* (+ 1 (* x (+ eps -1))) (- 1/2 (/ -1/2 eps)))>
#<alt (+ 1 (* x (+ eps -1)))>
#<alt (- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (+ (* (+ (* x (- -1 eps)) 1) (+ (/ 1/2 eps) -1/2)) (* (* x x) (* (+ (/ 1/2 eps) -1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))))>
#<alt (+ (* (+ (* x (- -1 eps)) 1) (+ (/ 1/2 eps) -1/2)) (* (* x x) (* (+ (/ 1/2 eps) -1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))))))))>
#<alt (* (* x x) (* (+ (/ 1/2 eps) -1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))>
#<alt (* (+ (/ 1/2 eps) -1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))))))>
#<alt (exp (* x (- -1 eps)))>
#<alt (* x (- -1 eps))>
#<alt (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))>
#<alt (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))>
#<alt (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))>
#<alt (+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)))))>
#<alt (+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (exp (* -1 x))>
#<alt (+ (exp (* -1 x)) (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))>
#<alt 2>
#<alt (+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))>
#<alt (+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1)))>
#<alt (+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- eps 1) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))))) 1)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (* 2 (exp (* -1 x)))>
#<alt (+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))>
#<alt (+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x)))))))>
#<alt (+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x)))))) (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x)))))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))>
#<alt 1>
#<alt (+ 1 (* x (- eps 1)))>
#<alt (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))>
#<alt (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* -1 x))>
#<alt (+ (exp (* -1 x)) (* eps (* x (exp (* -1 x)))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x))))))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<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 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))>
#<alt (* x (exp (neg x)))>
#<alt (* x (+ (exp (neg x)) (/ (exp (neg x)) x)))>
#<alt (* x (+ (exp (neg x)) (/ (exp (neg x)) x)))>
#<alt (* x (+ (exp (neg x)) (/ (exp (neg x)) x)))>
#<alt (* x (exp (* -1 x)))>
#<alt (* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))>
#<alt (* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))>
#<alt (* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt 1>
#<alt (+ 1 (* x (- (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))>
#<alt (+ 1 (* x (- (+ (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))>
#<alt (+ 1 (* x (- (+ (* x (- (* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))>
#<alt (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))>
#<alt (* x (- (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (+ (/ 1/2 (* eps x)) (* 1/2 (/ 1 x)))) (/ (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)) x)))>
#<alt (* x (- (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (+ (/ 1/2 (* eps x)) (* 1/2 (/ 1 x)))) (/ (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)) x)))>
#<alt (* x (- (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (+ (/ 1/2 (* eps x)) (* 1/2 (/ 1 x)))) (/ (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)) x)))>
#<alt (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))>
#<alt (* -1 (* x (+ (* -1 (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 eps))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))) x)))))>
#<alt (* -1 (* x (+ (* -1 (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 eps))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))) x)))))>
#<alt (* -1 (* x (+ (* -1 (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (* -1 (/ (- (+ 1/2 (* 1/2 (/ 1 eps))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))) x)))))>
#<alt (/ (- (* 1/2 (+ 1 (* -1 x))) (* 1/2 (exp (* -1 x)))) eps)>
#<alt (/ (- (+ (* 1/2 (+ 1 (* -1 x))) (* eps (- (+ (* 1/2 x) (* 1/2 (+ 1 (* -1 x)))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x)))))))) (* 1/2 (exp (* -1 x)))) eps)>
#<alt (/ (- (+ (* 1/2 (+ 1 (* -1 x))) (* eps (- (+ (* 1/2 x) (+ (* 1/2 (+ 1 (* -1 x))) (* eps (- (* 1/2 x) (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (* x (exp (* -1 x))))))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x)))))))) (* 1/2 (exp (* -1 x)))) eps)>
#<alt (/ (- (+ (* 1/2 (+ 1 (* -1 x))) (* eps (- (+ (* 1/2 x) (+ (* 1/2 (+ 1 (* -1 x))) (* eps (- (+ (* -1 (* eps (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))) (* 1/2 x)) (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (* x (exp (* -1 x))))))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x)))))))) (* 1/2 (exp (* -1 x)))) eps)>
#<alt (* 1/2 (* eps x))>
#<alt (* eps (- (+ (* 1/2 x) (+ (* 1/2 (/ x eps)) (* 1/2 (/ (+ 1 (* -1 x)) eps)))) (* -1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps))))>
#<alt (* eps (- (+ (* 1/2 x) (+ (* 1/2 (/ x eps)) (+ (* 1/2 (/ (+ 1 (* -1 x)) eps)) (* 1/2 (/ (+ 1 (* -1 x)) (pow eps 2)))))) (+ (* -1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps)) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) (pow eps 2))))))>
#<alt (* eps (- (+ (* 1/2 x) (+ (* 1/2 (/ x eps)) (+ (* 1/2 (/ (+ 1 (* -1 x)) eps)) (* 1/2 (/ (+ 1 (* -1 x)) (pow eps 2)))))) (+ (* -1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps)) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) (pow eps 2))))))>
#<alt (* 1/2 (* eps x))>
#<alt (* -1 (* eps (+ (* -1 (/ (- (+ (* 1/2 x) (* 1/2 (+ 1 (* -1 x)))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) eps)) (* -1/2 x))))>
#<alt (* -1 (* eps (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (+ 1 (* -1 x))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) eps)) (+ (* 1/2 x) (* 1/2 (+ 1 (* -1 x))))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) eps)) (* -1/2 x))))>
#<alt (* -1 (* eps (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (+ 1 (* -1 x))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) eps)) (+ (* 1/2 x) (* 1/2 (+ 1 (* -1 x))))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) eps)) (* -1/2 x))))>
#<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 (* 1/2 (/ 1 eps))) (- eps 1)))))>
#<alt (+ 1/2 (+ (* 1/2 (/ 1 eps)) (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))))>
#<alt (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))>
#<alt (* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (+ (/ 1/2 (* eps x)) (* 1/2 (/ 1 x)))))>
#<alt (* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (+ (/ 1/2 (* eps x)) (* 1/2 (/ 1 x)))))>
#<alt (* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (+ (/ 1/2 (* eps x)) (* 1/2 (/ 1 x)))))>
#<alt (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))>
#<alt (* -1 (* x (+ (* -1 (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (* -1 (/ (+ 1/2 (* 1/2 (/ 1 eps))) x)))))>
#<alt (* -1 (* x (+ (* -1 (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (* -1 (/ (+ 1/2 (* 1/2 (/ 1 eps))) x)))))>
#<alt (* -1 (* x (+ (* -1 (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (* -1 (/ (+ 1/2 (* 1/2 (/ 1 eps))) x)))))>
#<alt (* 1/2 (/ (+ 1 (* -1 x)) eps))>
#<alt (/ (+ (* 1/2 (+ 1 (* -1 x))) (* eps (+ (* 1/2 x) (* 1/2 (+ 1 (* -1 x)))))) eps)>
#<alt (/ (+ (* 1/2 (+ 1 (* -1 x))) (* eps (+ (* 1/2 x) (+ (* 1/2 (* eps x)) (* 1/2 (+ 1 (* -1 x))))))) eps)>
#<alt (/ (+ (* 1/2 (+ 1 (* -1 x))) (* eps (+ (* 1/2 x) (+ (* 1/2 (* eps x)) (* 1/2 (+ 1 (* -1 x))))))) eps)>
#<alt (* 1/2 (* eps x))>
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#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 (+ 1/2 (* -1/2 x))) (* -1/12 x)) eps)) (* -1/12 x))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ 1/2 (* -1/2 x))) (* -1/2 (- (* 1/2 x) 1))) eps)) (+ (* -1/2 (+ 1/2 (* -1/2 x))) (* -1/12 x))) eps)) (* -1/12 x))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ 1/2 (* -1/6 x))) (* -1/2 (- (* 1/2 x) 1))) eps)) (+ (* -1/2 (+ 1/2 (* -1/2 x))) (* -1/2 (- (* 1/2 x) 1)))) eps)) (+ (* -1/2 (+ 1/2 (* -1/2 x))) (* -1/12 x))) eps)) (* -1/12 x))))>
#<alt (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (+ (* -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))))>
#<alt (+ (* -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))))>
#<alt (+ (* -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))))>
#<alt (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (* 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 (* 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 (* 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 (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (* -1 (* 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 (* 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 (* 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>
#<alt (+ 1 (* -1 (* x (+ 1 eps))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 x))>
#<alt (+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (* -1 (* eps x))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* -1 (* eps x))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<alt (- (* 1/2 (/ 1 eps)) 1/2)>
#<alt (- (+ (* -1 (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))) (* 1/2 (/ 1 eps))) 1/2)>
#<alt (- (+ (* 1/2 (/ 1 eps)) (* x (+ (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))))) 1/2)>
#<alt (- (+ (* 1/2 (/ 1 eps)) (* x (+ (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)))))))) 1/2)>
#<alt (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))>
#<alt (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))>
#<alt (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))>
#<alt (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))>
#<alt (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))>
#<alt (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))>
#<alt (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))>
#<alt (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))>
#<alt (* 1/2 (/ (exp (* -1 x)) eps))>
#<alt (/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x))))))) eps)>
#<alt (/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* -1/2 (exp (* -1 x))) (+ (* -1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (* x (exp (* -1 x)))))))))) eps)>
#<alt (/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* -1/2 (exp (* -1 x))) (+ (* -1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))))))))) eps)>
#<alt (* -1/2 (exp (* -1 (* x (+ 1 eps)))))>
#<alt (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps)))>
#<alt (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps)))>
#<alt (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps)))>
#<alt (* -1/2 (exp (* x (- (* -1 eps) 1))))>
#<alt (+ (* -1/2 (exp (* x (- (* -1 eps) 1)))) (* 1/2 (/ (exp (* x (- (* -1 eps) 1))) eps)))>
#<alt (+ (* -1/2 (exp (* x (- (* -1 eps) 1)))) (* 1/2 (/ (exp (* x (- (* -1 eps) 1))) eps)))>
#<alt (+ (* -1/2 (exp (* x (- (* -1 eps) 1)))) (* 1/2 (/ (exp (* x (- (* -1 eps) 1))) eps)))>
#<alt (+ 1/2 (* -1/6 x))>
#<alt (+ 1/2 (+ (* -1/6 x) (* eps (+ 1 (* -1/2 x)))))>
#<alt (+ 1/2 (+ (* -1/6 x) (* eps (+ 1 (+ (* -1/2 x) (* eps (+ 1/2 (* -1/2 x))))))))>
#<alt (+ 1/2 (+ (* -1/6 x) (* eps (+ 1 (+ (* -1/2 x) (* eps (+ 1/2 (+ (* -1/2 x) (* -1/6 (* eps x))))))))))>
#<alt (* -1/6 (* (pow eps 3) x))>
#<alt (* (pow eps 3) (+ (* -1/2 (/ x eps)) (+ (* -1/6 x) (* 1/2 (/ 1 eps)))))>
#<alt (* (pow eps 3) (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/6 x) (+ (* 1/2 (/ 1 eps)) (/ 1 (pow eps 2)))))))>
#<alt (* (pow eps 3) (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/6 x) (+ (* -1/6 (/ x (pow eps 3))) (+ (* 1/2 (/ 1 eps)) (+ (/ 1 (pow eps 2)) (* 1/2 (/ 1 (pow eps 3))))))))))>
#<alt (* -1/6 (* (pow eps 3) x))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/2 (* -1/2 x)) eps)) (* 1/6 x))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- (* 1/2 x) 1) eps)) (* -1/2 x))) eps)) (* 1/6 x))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- (+ (* -1 (/ (+ 1/2 (* -1/6 x)) eps)) (* 1/2 x)) 1) eps)) (* -1/2 x))) eps)) (* 1/6 x))))>
#<alt (* 1/2 (pow (+ 1 eps) 2))>
#<alt (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))>
#<alt (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))>
#<alt (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))>
#<alt (* -1/6 (* x (pow (+ 1 eps) 3)))>
#<alt (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))>
#<alt (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))>
#<alt (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))>
#<alt (* -1/6 (* x (pow (+ 1 eps) 3)))>
#<alt (* -1 (* x (+ (* -1/2 (/ (pow (+ 1 eps) 2) x)) (* 1/6 (pow (+ 1 eps) 3)))))>
#<alt (* -1 (* x (+ (* -1/2 (/ (pow (+ 1 eps) 2) x)) (* 1/6 (pow (+ 1 eps) 3)))))>
#<alt (* -1 (* x (+ (* -1/2 (/ (pow (+ 1 eps) 2) x)) (* 1/6 (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 (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

108 calls:

TimeVariablePointExpression
5.0ms
x
@0
(- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (+ (* (+ (* x (- -1 eps)) 1) (+ (/ 1/2 eps) -1/2)) (* (* x x) (* (+ (/ 1/2 eps) -1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))))
2.0ms
eps
@-inf
(+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))
1.0ms
x
@-inf
(- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (+ (* (+ (* x (- -1 eps)) 1) (+ (/ 1/2 eps) -1/2)) (* (* x x) (* (+ (/ 1/2 eps) -1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))))
1.0ms
eps
@0
(- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (+ (* (+ (* x (- -1 eps)) 1) (+ (/ 1/2 eps) -1/2)) (* (* x x) (* (+ (/ 1/2 eps) -1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))))
1.0ms
x
@0
(* (* x x) (* (+ (/ 1/2 eps) -1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))

rewrite352.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
3280×*-lowering-*.f32
3280×*-lowering-*.f64
1490×sum5-define
1304×pow-lowering-pow.f64
1304×pow-lowering-pow.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044286
1331277
23610277
08362277
Stop Event
1×iter limit
1×node limit
Counts
20 → 362
Calls
Call 1
Inputs
(* 1/2 (+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps)))))
(+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps))))
(exp (* x (+ eps -1)))
(* x (+ eps -1))
(* (+ x 1) (exp (- 0 x)))
(+ x 1)
(exp (- 0 x))
(- 0 x)
(- (* (+ 1 (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(* (+ 1 (* x (+ eps -1))) (- 1/2 (/ -1/2 eps)))
(+ 1 (* x (+ eps -1)))
(- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (+ (* (+ (* x (- -1 eps)) 1) (+ (/ 1/2 eps) -1/2)) (* (* x x) (* (+ (/ 1/2 eps) -1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))))
(+ (* (+ (* x (- -1 eps)) 1) (+ (/ 1/2 eps) -1/2)) (* (* x x) (* (+ (/ 1/2 eps) -1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))))))))
(* (* x x) (* (+ (/ 1/2 eps) -1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))
(* (+ (/ 1/2 eps) -1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))))))
(exp (* x (- -1 eps)))
(* x (- -1 eps))
(* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))
(+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))
(* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))
Outputs
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 (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 (*.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) #s(literal 1/8 binary64)) (*.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) #s(literal 1/8 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
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(*.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))
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(+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 x (+.f64 eps #s(literal 1 binary64)))) (*.f64 (*.f64 eps (+.f64 eps #s(literal 1 binary64))) (*.f64 x (+.f64 eps #s(literal 1 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 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) x))
(*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (*.f64 x (+.f64 eps #s(literal 1 binary64))))
(*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) x)
(*.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))
(*.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64))) (+.f64 eps #s(literal 1 binary64)))
(*.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) (+.f64 eps #s(literal 1 binary64)))

simplify389.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
5442×*-lowering-*.f32
5442×*-lowering-*.f64
5440×+-lowering-+.f64
5440×+-lowering-+.f32
1628×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
09348061
134867635
089517635
Stop Event
1×iter limit
1×node limit
Counts
432 → 432
Calls
Call 1
Inputs
1
(+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)))))
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(* 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)))))
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(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))))
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2
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1
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1
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1
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x
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x
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1
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1
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(/ (- (+ (* 1/2 (+ 1 (* -1 x))) (* eps (- (+ (* 1/2 x) (+ (* 1/2 (+ 1 (* -1 x))) (* eps (- (* 1/2 x) (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (* x (exp (* -1 x))))))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x)))))))) (* 1/2 (exp (* -1 x)))) eps)
(/ (- (+ (* 1/2 (+ 1 (* -1 x))) (* eps (- (+ (* 1/2 x) (+ (* 1/2 (+ 1 (* -1 x))) (* eps (- (+ (* -1 (* eps (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))) (* 1/2 x)) (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (* x (exp (* -1 x))))))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x)))))))) (* 1/2 (exp (* -1 x)))) eps)
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(* -1 (* eps (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (+ 1 (* -1 x))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) eps)) (+ (* 1/2 x) (* 1/2 (+ 1 (* -1 x))))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) eps)) (* -1/2 x))))
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(* 1/2 (/ (+ 1 (* -1 x)) eps))
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(* eps (+ (* 1/2 x) (+ (* 1/2 (/ x eps)) (+ (* 1/2 (/ (+ 1 (* -1 x)) eps)) (* 1/2 (/ (+ 1 (* -1 x)) (pow eps 2)))))))
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1
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1
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(* 1/6 (* (pow x 3) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
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(* (pow x 3) (- (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (pow x 2)) (+ (* -1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)) x)))))
(* (pow x 3) (- (+ (* 1/2 (/ 1 (pow x 3))) (/ (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (pow x 3))) (+ (* -1 (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (pow x 2))) (+ (* -1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))) (+ (* 1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)) x)) (/ 1/2 (* eps (pow x 3))))))))
(* 1/6 (* (pow x 3) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(* -1 (* (pow x 3) (- (* 1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)) x)) (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)))) x)) (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))))
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(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))
(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))
(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))
(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))
(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))
(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))
(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))
(* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2))
(* 1/2 (/ (exp (* -1 x)) eps))
(/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x))))))) eps)
(/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* -1/2 (exp (* -1 x))) (+ (* -1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (* x (exp (* -1 x)))))))))) eps)
(/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* -1/2 (exp (* -1 x))) (+ (* -1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))))))))) eps)
(* -1/2 (exp (* -1 (* x (+ 1 eps)))))
(+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps)))
(+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps)))
(+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps)))
(* -1/2 (exp (* x (- (* -1 eps) 1))))
(+ (* -1/2 (exp (* x (- (* -1 eps) 1)))) (* 1/2 (/ (exp (* x (- (* -1 eps) 1))) eps)))
(+ (* -1/2 (exp (* x (- (* -1 eps) 1)))) (* 1/2 (/ (exp (* x (- (* -1 eps) 1))) eps)))
(+ (* -1/2 (exp (* x (- (* -1 eps) 1)))) (* 1/2 (/ (exp (* x (- (* -1 eps) 1))) eps)))
(+ 1/2 (* -1/6 x))
(+ 1/2 (+ (* -1/6 x) (* eps (+ 1 (* -1/2 x)))))
(+ 1/2 (+ (* -1/6 x) (* eps (+ 1 (+ (* -1/2 x) (* eps (+ 1/2 (* -1/2 x))))))))
(+ 1/2 (+ (* -1/6 x) (* eps (+ 1 (+ (* -1/2 x) (* eps (+ 1/2 (+ (* -1/2 x) (* -1/6 (* eps x))))))))))
(* -1/6 (* (pow eps 3) x))
(* (pow eps 3) (+ (* -1/2 (/ x eps)) (+ (* -1/6 x) (* 1/2 (/ 1 eps)))))
(* (pow eps 3) (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/6 x) (+ (* 1/2 (/ 1 eps)) (/ 1 (pow eps 2)))))))
(* (pow eps 3) (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/6 x) (+ (* -1/6 (/ x (pow eps 3))) (+ (* 1/2 (/ 1 eps)) (+ (/ 1 (pow eps 2)) (* 1/2 (/ 1 (pow eps 3))))))))))
(* -1/6 (* (pow eps 3) x))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/2 (* -1/2 x)) eps)) (* 1/6 x))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- (* 1/2 x) 1) eps)) (* -1/2 x))) eps)) (* 1/6 x))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- (+ (* -1 (/ (+ 1/2 (* -1/6 x)) eps)) (* 1/2 x)) 1) eps)) (* -1/2 x))) eps)) (* 1/6 x))))
(* 1/2 (pow (+ 1 eps) 2))
(+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))
(+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))
(+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(* -1 (* x (+ (* -1/2 (/ (pow (+ 1 eps) 2) x)) (* 1/6 (pow (+ 1 eps) 3)))))
(* -1 (* x (+ (* -1/2 (/ (pow (+ 1 eps) 2) x)) (* 1/6 (pow (+ 1 eps) 3)))))
(* -1 (* x (+ (* -1/2 (/ (pow (+ 1 eps) 2) x)) (* 1/6 (pow (+ 1 eps) 3)))))
(* 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))) 1))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64))))))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (+.f64 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))))))
(+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps))) #s(literal -1/2 binary64)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))))
(* 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 #s(literal -1 binary64) eps)))))
(* 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 #s(literal -1 binary64) eps)))))
(* 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 #s(literal -1 binary64) eps)))))
(* 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 #s(literal -1 binary64) eps)))))
(* 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 #s(literal -1 binary64) eps)))))
(* 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 #s(literal -1 binary64) eps)))))
(* 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 #s(literal -1 binary64) eps)))))
(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 #s(literal 1/2 binary64) (*.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 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps (*.f64 x x)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) #s(literal 0 binary64))))
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 eps (+.f64 (*.f64 eps (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 x x)) (*.f64 eps #s(literal 0 binary64))))) #s(literal 0 binary64))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))))
(* 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 #s(literal -1 binary64) eps)))))
(* 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 #s(literal -1 binary64) eps)))))
(* 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 #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))))))
(* 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 (-.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))) #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 eps (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal -1 binary64)))))
(+ 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 eps (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 x (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))))))) #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 #s(literal -1 binary64) eps))))
(+ (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 #s(literal -1 binary64) eps))))
(+ (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 #s(literal -1 binary64) eps))))
(+ (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 #s(literal -1 binary64) eps))))
(+ (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 #s(literal -1 binary64) eps))))
(+ (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 #s(literal -1 binary64) eps))))
(+ (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 #s(literal -1 binary64) eps))))
(+ (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 #s(literal -1 binary64) eps))))
(* 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 x (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 (*.f64 eps (*.f64 x x)) (exp.f64 (-.f64 #s(literal 0 binary64) 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)))))))
(+.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 eps (+.f64 (*.f64 x (/.f64 #s(literal -1 binary64) (exp.f64 x))) (+.f64 (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 eps (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 x x)) (*.f64 eps #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 #s(literal -1 binary64) eps))))
(+ (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 #s(literal -1 binary64) eps))))
(+ (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 #s(literal -1 binary64) eps))))
(+ (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 #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)))))
(+ (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 #s(literal -1 binary64) eps)))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal -1 binary64)))))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal -1 binary64)))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))
(exp (* x (- eps 1)))
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eval163.0ms (1.1%)

Compiler

Compiled 50139 to 2877 computations (94.3% saved)

prune132.0ms (0.9%)

Pruning

34 alts after pruning (33 fresh and 1 done)

PrunedKeptTotal
New1001301031
Fresh538
Picked415
Done000
Total1010341044
Accuracy
100.0%
Counts
1044 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.6%
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
44.1%
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
61.8%
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
30.3%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))))
14.1%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))))
22.3%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
24.6%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
24.6%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
50.3%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
30.0%
(-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))))
44.8%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))) #s(literal -1/2 binary64))))
51.7%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))
44.8%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
41.7%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))))))))
72.0%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (+.f64 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))))))
44.7%
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
▶44.8%
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))
51.6%
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))))
44.6%
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
16.3%
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal -1/2 binary64) eps) #s(literal 1/2 binary64))) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (+.f64 (/.f64 #s(literal -1/2 binary64) eps) #s(literal 1/2 binary64)))))
▶16.0%
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (+.f64 (/.f64 #s(literal -1/2 binary64) eps) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal -1/2 binary64) eps) #s(literal 1/2 binary64))) x)))
18.0%
(*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64)) (/.f64 (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x #s(literal -1/12 binary64)))) eps)))
10.0%
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) (neg.f64 (*.f64 eps eps))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64)) (/.f64 (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x #s(literal -1/12 binary64)))) eps))))
19.8%
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
56.5%
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal -1 binary64))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
61.9%
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
58.4%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))))))
61.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)))
▶81.7%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
▶64.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
▶6.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
17.0%
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
72.8%
(exp.f64 (-.f64 #s(literal 0 binary64) x))
✓45.6%
#s(literal 1 binary64)
Compiler

Compiled 2193 to 1183 computations (46.1% saved)

simplify254.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
✓cost-diff0
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
✓cost-diff128
(*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (+.f64 (/.f64 #s(literal -1/2 binary64) eps) #s(literal 1/2 binary64)))
✓cost-diff384
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (+.f64 (/.f64 #s(literal -1/2 binary64) eps) #s(literal 1/2 binary64))))
✓cost-diff896
(+.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (+.f64 (/.f64 #s(literal -1/2 binary64) eps) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal -1/2 binary64) eps) #s(literal 1/2 binary64))) x))
✓cost-diff896
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (+.f64 (/.f64 #s(literal -1/2 binary64) eps) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal -1/2 binary64) eps) #s(literal 1/2 binary64))) x)))
✓cost-diff0
(*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64))))
✓cost-diff0
(+.f64 x #s(literal 1 binary64))
✓cost-diff0
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))
✓cost-diff0
(*.f64 x eps)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
✓cost-diff0
(*.f64 x eps)
✓cost-diff0
(exp.f64 (*.f64 x eps))
✓cost-diff0
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Rules
6510×+-lowering-+.f64
6510×+-lowering-+.f32
2996×*-lowering-*.f32
2996×*-lowering-*.f64
1886×sum3-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
044411
1164400
2646378
33768372
08328372
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* 1/2 (+ (exp (* x eps)) (exp (* x (- -1 eps)))))
1/2
(+ (exp (* x eps)) (exp (* x (- -1 eps))))
(exp (* x eps))
(* x eps)
x
eps
(exp (* x (- -1 eps)))
(* x (- -1 eps))
(- -1 eps)
-1
(* 1/2 (* x eps))
1/2
(* x eps)
x
eps
(* (+ x 1) (+ 1 (* x (+ (* x (+ 1/2 (* x -1/6))) -1))))
(+ x 1)
x
1
(+ 1 (* x (+ (* x (+ 1/2 (* x -1/6))) -1)))
(* x (+ (* x (+ 1/2 (* x -1/6))) -1))
(+ (* x (+ 1/2 (* x -1/6))) -1)
(* x (+ 1/2 (* x -1/6)))
(+ 1/2 (* x -1/6))
1/2
(* x -1/6)
-1/6
-1
(* (* x (* x x)) (+ (+ (/ (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)) (* x x)) (* (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))) (+ (/ -1/2 eps) 1/2))) (/ (* (* 1/2 (* (+ 1 eps) (+ 1 eps))) (+ (/ -1/2 eps) 1/2)) x)))
(* x (* x x))
x
(* x x)
(+ (+ (/ (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)) (* x x)) (* (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))) (+ (/ -1/2 eps) 1/2))) (/ (* (* 1/2 (* (+ 1 eps) (+ 1 eps))) (+ (/ -1/2 eps) 1/2)) x))
(+ (/ (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)) (* x x)) (* (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))) (+ (/ -1/2 eps) 1/2)))
(/ (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)) (* x x))
(* (+ 1 eps) (+ (/ 1/2 eps) -1/2))
(+ 1 eps)
1
eps
(+ (/ 1/2 eps) -1/2)
(/ 1/2 eps)
1/2
-1/2
(* (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))) (+ (/ -1/2 eps) 1/2))
(* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))
-1/6
(* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))
(* (+ 1 eps) (+ 1 eps))
(+ (/ -1/2 eps) 1/2)
(/ -1/2 eps)
(/ (* (* 1/2 (* (+ 1 eps) (+ 1 eps))) (+ (/ -1/2 eps) 1/2)) x)
(* (* 1/2 (* (+ 1 eps) (+ 1 eps))) (+ (/ -1/2 eps) 1/2))
(* 1/2 (* (+ 1 eps) (+ 1 eps)))
(* 1/2 (+ 1 (exp (* x (- -1 eps)))))
1/2
(+ 1 (exp (* x (- -1 eps))))
1
(exp (* x (- -1 eps)))
(* x (- -1 eps))
x
(- -1 eps)
-1
eps
Outputs
(* 1/2 (+ (exp (* x eps)) (exp (* x (- -1 eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
1/2
#s(literal 1/2 binary64)
(+ (exp (* x eps)) (exp (* x (- -1 eps))))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(exp (* x eps))
(exp.f64 (*.f64 x eps))
(* x eps)
(*.f64 x eps)
x
eps
(exp (* x (- -1 eps)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(* x (- -1 eps))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
-1
#s(literal -1 binary64)
(* 1/2 (* x eps))
(*.f64 x (*.f64 #s(literal 1/2 binary64) eps))
1/2
#s(literal 1/2 binary64)
(* x eps)
(*.f64 x eps)
x
eps
(* (+ x 1) (+ 1 (* x (+ (* x (+ 1/2 (* x -1/6))) -1))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.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))))))))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
(+ 1 (* x (+ (* x (+ 1/2 (* x -1/6))) -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)))))))
(* x (+ (* x (+ 1/2 (* x -1/6))) -1))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))))
(+ (* x (+ 1/2 (* x -1/6))) -1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))
(* x (+ 1/2 (* x -1/6)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))
(+ 1/2 (* x -1/6))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(* x -1/6)
(*.f64 x #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 binary64)
-1
#s(literal -1 binary64)
(* (* x (* x x)) (+ (+ (/ (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)) (* x x)) (* (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))) (+ (/ -1/2 eps) 1/2))) (/ (* (* 1/2 (* (+ 1 eps) (+ 1 eps))) (+ (/ -1/2 eps) 1/2)) x)))
(*.f64 x (*.f64 (*.f64 x x) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 x x)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (+.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/6 binary64) eps)) (/.f64 #s(literal 1/2 binary64) x))))))
(* x (* x x))
(*.f64 x (*.f64 x x))
x
(* x x)
(*.f64 x x)
(+ (+ (/ (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)) (* x x)) (* (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))) (+ (/ -1/2 eps) 1/2))) (/ (* (* 1/2 (* (+ 1 eps) (+ 1 eps))) (+ (/ -1/2 eps) 1/2)) x))
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 x x)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (+.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/6 binary64) eps)) (/.f64 #s(literal 1/2 binary64) x))))
(+ (/ (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)) (* x x)) (* (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))) (+ (/ -1/2 eps) 1/2)))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x x)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1/12 binary64) eps) #s(literal -1/12 binary64)))))
(/ (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)) (* x x))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 x x))
(* (+ 1 eps) (+ (/ 1/2 eps) -1/2))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(+ 1 eps)
(+.f64 #s(literal 1 binary64) eps)
1
#s(literal 1 binary64)
eps
(+ (/ 1/2 eps) -1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
(/ 1/2 eps)
(/.f64 #s(literal 1/2 binary64) eps)
1/2
#s(literal 1/2 binary64)
-1/2
#s(literal -1/2 binary64)
(* (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))) (+ (/ -1/2 eps) 1/2))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/12 binary64) eps) #s(literal -1/12 binary64)))
(* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal -1/6 binary64) eps)))
-1/6
#s(literal -1/6 binary64)
(* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
(* (+ 1 eps) (+ 1 eps))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
(+ (/ -1/2 eps) 1/2)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))
(/ -1/2 eps)
(/.f64 #s(literal -1/2 binary64) eps)
(/ (* (* 1/2 (* (+ 1 eps) (+ 1 eps))) (+ (/ -1/2 eps) 1/2)) x)
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal -1/4 binary64) eps) #s(literal 1/4 binary64)))) x)
(* (* 1/2 (* (+ 1 eps) (+ 1 eps))) (+ (/ -1/2 eps) 1/2))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal -1/4 binary64) eps) #s(literal 1/4 binary64))))
(* 1/2 (* (+ 1 eps) (+ 1 eps)))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)))
(* 1/2 (+ 1 (exp (* x (- -1 eps)))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
1/2
#s(literal 1/2 binary64)
(+ 1 (exp (* x (- -1 eps))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(exp (* x (- -1 eps)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(* x (- -1 eps))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
x
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
-1
#s(literal -1 binary64)
eps

localize214.0ms (1.5%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
✓accuracy100.0%
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
✓accuracy100.0%
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
✓accuracy96.1%
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal -1/2 binary64) eps) #s(literal 1/2 binary64))) x)
✓accuracy89.1%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 x x))
✓accuracy80.1%
(+.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (+.f64 (/.f64 #s(literal -1/2 binary64) eps) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal -1/2 binary64) eps) #s(literal 1/2 binary64))) x))
✓accuracy55.3%
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (+.f64 (/.f64 #s(literal -1/2 binary64) eps) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal -1/2 binary64) eps) #s(literal 1/2 binary64))) x)))
✓accuracy100.0%
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))
✓accuracy99.9%
(*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64)))
✓accuracy99.9%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))
✓accuracy99.5%
(*.f64 x #s(literal -1/6 binary64))
✓accuracy100.0%
(*.f64 x eps)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
✓accuracy100.0%
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
✓accuracy100.0%
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
✓accuracy100.0%
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
✓accuracy100.0%
(exp.f64 (*.f64 x eps))
Results
136.0ms256×0valid
Compiler

Compiled 460 to 45 computations (90.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 30.0ms (48.3% of total)
ival-add: 15.0ms (24.1% of total)
ival-div: 7.0ms (11.3% of total)
...c/correct-round.rkt:119:19: 4.0ms (6.4% of total)
ival-exp: 3.0ms (4.8% of total)
ival-sub: 2.0ms (3.2% of total)
const: 1.0ms (1.6% of total)
backward-pass: 0.0ms (0% of total)

series39.0ms (0.3%)

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

105 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(* (+ x 1) (+ 1 (* x (+ (* x (+ 1/2 (* x -1/6))) -1))))
4.0ms
eps
@inf
(* (* x (* x x)) (+ (+ (/ (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)) (* x x)) (* (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))) (+ (/ -1/2 eps) 1/2))) (/ (* (* 1/2 (* (+ 1 eps) (+ 1 eps))) (+ (/ -1/2 eps) 1/2)) x)))
1.0ms
x
@0
(* (* x (* x x)) (+ (+ (/ (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)) (* x x)) (* (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))) (+ (/ -1/2 eps) 1/2))) (/ (* (* 1/2 (* (+ 1 eps) (+ 1 eps))) (+ (/ -1/2 eps) 1/2)) x)))
1.0ms
eps
@0
(* (* x (* x x)) (+ (+ (/ (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)) (* x x)) (* (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))) (+ (/ -1/2 eps) 1/2))) (/ (* (* 1/2 (* (+ 1 eps) (+ 1 eps))) (+ (/ -1/2 eps) 1/2)) x)))
1.0ms
x
@inf
(* (* x (* x x)) (+ (+ (/ (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)) (* x x)) (* (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))) (+ (/ -1/2 eps) 1/2))) (/ (* (* 1/2 (* (+ 1 eps) (+ 1 eps))) (+ (/ -1/2 eps) 1/2)) x)))

rewrite348.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
3506×*-lowering-*.f32
3506×*-lowering-*.f64
2538×fma-lowering-fma.f32
2538×fma-lowering-fma.f64
2410×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
044272
1322263
23541262
08860262
Stop Event
1×iter limit
1×node limit
Counts
21 → 498
Calls
Call 1
Inputs
(* 1/2 (+ (exp (* x eps)) (exp (* x (- -1 eps)))))
(+ (exp (* x eps)) (exp (* x (- -1 eps))))
(exp (* x eps))
(* x eps)
(* 1/2 (* x eps))
(* (+ x 1) (+ 1 (* x (+ (* x (+ 1/2 (* x -1/6))) -1))))
(+ x 1)
(+ 1 (* x (+ (* x (+ 1/2 (* x -1/6))) -1)))
(* x (+ (* x (+ 1/2 (* x -1/6))) -1))
(* (* x (* x x)) (+ (+ (/ (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)) (* x x)) (* (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))) (+ (/ -1/2 eps) 1/2))) (/ (* (* 1/2 (* (+ 1 eps) (+ 1 eps))) (+ (/ -1/2 eps) 1/2)) x)))
(+ (+ (/ (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)) (* x x)) (* (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))) (+ (/ -1/2 eps) 1/2))) (/ (* (* 1/2 (* (+ 1 eps) (+ 1 eps))) (+ (/ -1/2 eps) 1/2)) x))
(+ (/ (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)) (* x x)) (* (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))) (+ (/ -1/2 eps) 1/2)))
(* (* -1/6 (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))) (+ (/ -1/2 eps) 1/2))
(* 1/2 (+ 1 (exp (* x (- -1 eps)))))
(+ 1 (exp (* x (- -1 eps))))
(exp (* x (- -1 eps)))
(* x (- -1 eps))
(* x -1/6)
(* x (+ 1/2 (* x -1/6)))
(/ (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)) (* x x))
(/ (* (* 1/2 (* (+ 1 eps) (+ 1 eps))) (+ (/ -1/2 eps) 1/2)) x)
Outputs
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(fma.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(fma.f64 (/.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)))
(fma.f64 (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))))) (+.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))) (neg.f64 (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64)))) (-.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))))) (+.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))))) #s(literal -1 binary64))
(*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps))))))))
(*.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 2 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(exp.f64 (*.f64 x eps))
(exp.f64 (*.f64 (log.f64 (exp.f64 eps)) x))
(pow.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64))
(pow.f64 (exp.f64 x) eps)
(pow.f64 (exp.f64 x) (+.f64 (/.f64 eps #s(literal 2 binary64)) (/.f64 eps #s(literal 2 binary64))))
(pow.f64 (exp.f64 (+.f64 x x)) (/.f64 eps #s(literal 2 binary64)))
(pow.f64 (exp.f64 eps) x)
(pow.f64 (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))))
(log.f64 (exp.f64 (*.f64 x eps)))
(+.f64 (log.f64 (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64))))) (log.f64 (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64))))))
(*.f64 x eps)
(*.f64 x (log.f64 (exp.f64 eps)))
(*.f64 eps x)
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(*.f64 x (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 eps (*.f64 #s(literal 1/2 binary64) x))
(*.f64 (*.f64 x eps) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) eps)
(*.f64 (*.f64 #s(literal 1/2 binary64) eps) x)
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(/.f64 (neg.f64 (/.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) x)) (-.f64 #s(literal 0 binary64) x))
(/.f64 (*.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) x) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) x)
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 x x))) (-.f64 #s(literal 1 binary64) eps))
(pow.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) x) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) x))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 x x)))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (/.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(*.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) x))
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(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))
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(*.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 x x)) (+.f64 eps #s(literal 1 binary64)))
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(neg.f64 (/.f64 (*.f64 #s(literal -1/2 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)))) x))
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(/.f64 (*.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) (/.f64 #s(literal -1/2 binary64) eps)))) x)
(/.f64 (*.f64 #s(literal -1/2 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 0 binary64) x))
(/.f64 (*.f64 (*.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) (/.f64 #s(literal -1/2 binary64) eps)))) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 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))))) (neg.f64 (-.f64 #s(literal 0 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)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) x))
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(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #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) (/.f64 #s(literal -1/2 binary64) eps))))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) x)))
(*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))

simplify313.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
6036×*-lowering-*.f32
6036×*-lowering-*.f64
3796×+-lowering-+.f64
3796×+-lowering-+.f32
1680×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06405395
122695089
085385089
Stop Event
1×iter limit
1×node limit
Counts
420 → 420
Calls
Call 1
Inputs
1
(+ 1 (* 1/2 (* x (+ eps (* -1 (+ 1 eps))))))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))) (* 1/2 (+ eps (* -1 (+ 1 eps)))))))
(+ 1 (* x (+ (* 1/2 (+ eps (* -1 (+ 1 eps)))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3))))) (* 1/2 (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2)))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ 1 (exp (* -1 x))))
(+ (* 1/2 (* eps (+ x (* -1 (* x (exp (* -1 x))))))) (* 1/2 (+ 1 (exp (* -1 x)))))
(+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2))))) (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))))))
(+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2)))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))
2
(+ 2 (* x (+ eps (* -1 (+ 1 eps)))))
(+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))))))
(+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (+ (* 1/2 (pow (+ 1 eps) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3)))))))))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ 1 (exp (* -1 x)))
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(+ 1 (+ (exp (* -1 x)) (* eps (+ x (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2)))))))))
(+ 1 (+ (exp (* -1 x)) (* eps (+ x (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (pow x 2)) (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))))))))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))
(+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))
(+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))
(+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))
1
(+ 1 (* eps x))
(+ 1 (* x (+ eps (* 1/2 (* (pow eps 2) x)))))
(+ 1 (* x (+ eps (* x (+ (* 1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2)))))))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
1
(+ 1 (* eps x))
(+ 1 (* eps (+ x (* 1/2 (* eps (pow x 2))))))
(+ 1 (* eps (+ x (* eps (+ (* 1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
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(* eps x)
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(* eps x)
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(* 1/2 (* eps x))
(* 1/2 (* eps x))
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(* 1/2 (* eps x))
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(* 1/2 (* eps x))
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(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))
(+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/6 x))) 1/2)))
(* -1/6 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/6))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/6 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 4))) (+ 1/6 (/ 1/2 (pow x 2)))))
(* -1/6 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/6))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/6))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 (pow x 2)) 1/2) x)) 1/3) x)) 1/6))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
(* -1 x)
(* x (- (* 1/2 x) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))
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1
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(* 1/2 (/ (* (pow (+ 1 eps) 2) (- 1/2 (* 1/2 (/ 1 eps)))) x))
(* 1/2 (/ (* (pow (+ 1 eps) 2) (- 1/2 (* 1/2 (/ 1 eps)))) x))
(* 1/2 (/ (* (pow (+ 1 eps) 2) (- 1/2 (* 1/2 (/ 1 eps)))) x))
(* 1/2 (/ (* (pow (+ 1 eps) 2) (- 1/2 (* 1/2 (/ 1 eps)))) x))
(* 1/2 (/ (* (pow (+ 1 eps) 2) (- 1/2 (* 1/2 (/ 1 eps)))) x))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (+ eps (* -1 (+ 1 eps))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)))))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))) (* 1/2 (+ eps (* -1 (+ 1 eps)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 eps (+.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 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64))) (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64)))))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ 1 (exp (* -1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(+ (* 1/2 (* eps (+ x (* -1 (* x (exp (* -1 x))))))) (* 1/2 (+ 1 (exp (* -1 x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 eps (-.f64 x (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x)))))))
(+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2))))) (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 x (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 x x)) eps)))))))
(+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2)))))))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x))))) (*.f64 (*.f64 eps #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 x x))) (*.f64 eps (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps))))
2
#s(literal 2 binary64)
(+ 2 (* x (+ eps (* -1 (+ 1 eps)))))
(+.f64 (*.f64 x (-.f64 eps (+.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))))))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (-.f64 eps (+.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 eps (+.f64 #s(literal 1 binary64) eps)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64))) (*.f64 eps (*.f64 (*.f64 eps eps) #s(literal 1/6 binary64))))))))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ 1 (exp (* -1 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ 1 (+ (exp (* -1 x)) (* eps (+ x (* -1 (* x (exp (* -1 x))))))))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 eps (-.f64 x (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x))))))
(+ 1 (+ (exp (* -1 x)) (* eps (+ x (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2)))))))))
(+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 eps (+.f64 (-.f64 x (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 x x)) eps))))))
(+ 1 (+ (exp (* -1 x)) (* eps (+ x (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (pow x 2)) (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))))))))))
(+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 eps (+.f64 (-.f64 x (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 x x))) (*.f64 eps (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))))))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
(+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))
1
#s(literal 1 binary64)
(+ 1 (* eps x))
(+.f64 #s(literal 1 binary64) (*.f64 x eps))
(+ 1 (* x (+ eps (* 1/2 (* (pow eps 2) x)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))))
(+ 1 (* x (+ eps (* x (+ (* 1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 1/6 binary64) x)))))))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
1
#s(literal 1 binary64)
(+ 1 (* eps x))
(+.f64 #s(literal 1 binary64) (*.f64 x eps))
(+ 1 (* eps (+ x (* 1/2 (* eps (pow x 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))))
(+ 1 (* eps (+ x (* eps (+ (* 1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 x (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 eps (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))))))))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(exp (* eps x))
(exp.f64 (*.f64 x eps))
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* eps x)
(*.f64 x eps)
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))
(+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/6 x))) 1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1/2 binary64)))))
(* -1/6 (pow x 4))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/6))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -1/6 binary64)))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/6 (/ 1/2 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/3 binary64) x) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 4))) (+ 1/6 (/ 1/2 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))))
(* -1/6 (pow x 4))
(*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 4 binary64)))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/6))
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(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/6))
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eval160.0ms (1.1%)

Compiler

Compiled 40843 to 2623 computations (93.6% saved)

prune130.0ms (0.9%)

Pruning

42 alts after pruning (38 fresh and 4 done)

PrunedKeptTotal
New1009251034
Fresh151328
Picked235
Done011
Total1026421068
Accuracy
100.0%
Counts
1068 → 42
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.6%
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
61.8%
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
30.3%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))))
▶14.1%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))))
22.3%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
▶24.6%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
50.3%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
44.8%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
71.7%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) eps)) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/4 binary64)))))))
41.7%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))))))))
58.2%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) x) (+.f64 #s(literal 1 binary64) eps)) (*.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 binary64) eps) #s(literal 1/4 binary64)))))))))
50.4%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) eps))))
51.7%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))
72.1%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 eps (+.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))))))))
44.7%
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
51.6%
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))))
▶44.0%
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
10.4%
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))))
2.1%
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
▶44.6%
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
9.2%
(*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
7.7%
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/4 binary64) x))) eps))
19.3%
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/12 binary64) (+.f64 (*.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal -1/4 binary64) x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1/4 binary64) x)))) eps))
16.8%
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1/4 binary64) x)) eps)) #s(literal -1/6 binary64)) eps)))))
27.1%
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) eps) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal -1/2 binary64) eps) #s(literal 1/2 binary64))) x)))
16.8%
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 eps eps) (+.f64 (*.f64 eps #s(literal -1/12 binary64)) #s(literal -1/6 binary64)))))) eps)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal -1/2 binary64) eps) #s(literal 1/2 binary64))) x)))
16.2%
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 (*.f64 eps (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 eps eps)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (+.f64 (/.f64 #s(literal -1/2 binary64) eps) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal -1/2 binary64) eps) #s(literal 1/2 binary64))) x)))
19.8%
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps eps)) eps))
17.5%
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/6 binary64)) eps))))
18.8%
(*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64))))
2.3%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))
56.7%
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 1/6 binary64) x))))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
62.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
▶81.7%
(*.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)))))
58.3%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64)))))))))))
✓81.7%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
62.3%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
64.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64)))) #s(literal 2 binary64))))
✓64.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
✓6.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
72.8%
(exp.f64 (-.f64 #s(literal 0 binary64) x))
✓45.6%
#s(literal 1 binary64)
Compiler

Compiled 2203 to 1283 computations (41.8% saved)

simplify193.0ms (1.3%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff512
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal -1 binary64)))))
✓cost-diff512
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))
✓cost-diff896
(+.f64 (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))))
✓cost-diff1408
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))))
✓cost-diff0
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64))))
✓cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))
✓cost-diff0
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
✓cost-diff0
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
✓cost-diff0
(+.f64 x #s(literal 1 binary64))
✓cost-diff0
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
✓cost-diff0
(+.f64 x #s(literal 1 binary64))
✓cost-diff128
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 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
3496×*-lowering-*.f32
3496×*-lowering-*.f64
3106×+-lowering-+.f64
3106×+-lowering-+.f32
1074×cancel-sign-sub-inv
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
061688
1226669
2977629
36536614
08824614
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 1) 1)
(+ x 1)
x
1
(* (+ x 1) (+ 1 (* x (* -1/6 (* x x)))))
(+ x 1)
x
1
(+ 1 (* x (* -1/6 (* x x))))
(* x (* -1/6 (* x x)))
(* -1/6 (* x x))
-1/6
(* x x)
(- (* (+ 1 (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (+ 1 (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(* (+ 1 (* x (+ eps -1))) (- 1/2 (/ -1/2 eps)))
(+ 1 (* x (+ eps -1)))
1
(* x (+ eps -1))
x
(+ eps -1)
eps
-1
(- 1/2 (/ -1/2 eps))
1/2
(/ -1/2 eps)
-1/2
(* (+ 1 (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))
(+ 1 (* x (- -1 eps)))
(* x (- -1 eps))
(- -1 eps)
(+ (/ 1/2 eps) -1/2)
(/ 1/2 eps)
(- (* (+ 1 (* x (+ eps (+ (* x (+ (* 1/2 (* (+ eps -1) (+ eps -1))) (* (* x 1/6) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))))) -1)))) (- 1/2 (/ -1/2 eps))) (+ (* (+ (* x (- -1 eps)) 1) (+ (/ 1/2 eps) -1/2)) (* (* x x) (* (+ (/ 1/2 eps) -1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))))
(* (+ 1 (* x (+ eps (+ (* x (+ (* 1/2 (* (+ eps -1) (+ eps -1))) (* (* x 1/6) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))))) -1)))) (- 1/2 (/ -1/2 eps)))
(+ 1 (* x (+ eps (+ (* x (+ (* 1/2 (* (+ eps -1) (+ eps -1))) (* (* x 1/6) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))))) -1))))
1
(* x (+ eps (+ (* x (+ (* 1/2 (* (+ eps -1) (+ eps -1))) (* (* x 1/6) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))))) -1)))
x
(+ eps (+ (* x (+ (* 1/2 (* (+ eps -1) (+ eps -1))) (* (* x 1/6) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))))) -1))
eps
(+ (* x (+ (* 1/2 (* (+ eps -1) (+ eps -1))) (* (* x 1/6) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))))) -1)
(* x (+ (* 1/2 (* (+ eps -1) (+ eps -1))) (* (* x 1/6) (* (+ eps -1) (* (+ eps -1) (+ eps -1))))))
(+ (* 1/2 (* (+ eps -1) (+ eps -1))) (* (* x 1/6) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))))
(* 1/2 (* (+ eps -1) (+ eps -1)))
1/2
(* (+ eps -1) (+ eps -1))
(+ eps -1)
-1
(* (* x 1/6) (* (+ eps -1) (* (+ eps -1) (+ eps -1))))
(* x 1/6)
1/6
(* (+ eps -1) (* (+ eps -1) (+ eps -1)))
(- 1/2 (/ -1/2 eps))
(/ -1/2 eps)
-1/2
(+ (* (+ (* x (- -1 eps)) 1) (+ (/ 1/2 eps) -1/2)) (* (* x x) (* (+ (/ 1/2 eps) -1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))))))))
(* (+ (* x (- -1 eps)) 1) (+ (/ 1/2 eps) -1/2))
(+ (* x (- -1 eps)) 1)
(* x (- -1 eps))
(- -1 eps)
(+ (/ 1/2 eps) -1/2)
(/ 1/2 eps)
(* (* x x) (* (+ (/ 1/2 eps) -1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))
(* x x)
(* (+ (/ 1/2 eps) -1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))))))
(+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))
(* (* 1/2 (+ 1 eps)) (+ 1 eps))
(* 1/2 (+ 1 eps))
(+ 1 eps)
(* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))))
-1/6
(* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))
(* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))
(* (+ 1 eps) (+ 1 eps))
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))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
1
#s(literal 1 binary64)
(exp x)
(exp.f64 x)
(* (+ x 1) 1)
(+.f64 x #s(literal 1 binary64))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
(* (+ x 1) (+ 1 (* x (* -1/6 (* x x)))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))))))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
(+ 1 (* x (* -1/6 (* x x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))
(* x (* -1/6 (* x x)))
(*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64))))
(* -1/6 (* x x))
(*.f64 x (*.f64 x #s(literal -1/6 binary64)))
-1/6
#s(literal -1/6 binary64)
(* x x)
(*.f64 x x)
(- (* (+ 1 (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (+ 1 (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))
(* (+ 1 (* x (+ eps -1))) (- 1/2 (/ -1/2 eps)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(+ 1 (* x (+ eps -1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64))))
1
#s(literal 1 binary64)
(* x (+ eps -1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
x
(+ eps -1)
(+.f64 eps #s(literal -1 binary64))
eps
-1
#s(literal -1 binary64)
(- 1/2 (/ -1/2 eps))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
1/2
#s(literal 1/2 binary64)
(/ -1/2 eps)
(/.f64 #s(literal -1/2 binary64) eps)
-1/2
#s(literal -1/2 binary64)
(* (+ 1 (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))
(*.f64 (+.f64 #s(literal 1 binary64) (*.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)))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(* x (- -1 eps))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
(+ (/ 1/2 eps) -1/2)
(-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))
(/ 1/2 eps)
(/.f64 #s(literal 1/2 binary64) eps)
(- (* (+ 1 (* x (+ eps (+ (* x (+ (* 1/2 (* (+ eps -1) (+ eps -1))) (* (* x 1/6) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))))) -1)))) (- 1/2 (/ -1/2 eps))) (+ (* (+ (* x (- -1 eps)) 1) (+ (/ 1/2 eps) -1/2)) (* (* x x) (* (+ (/ 1/2 eps) -1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (*.f64 x (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x (+.f64 eps #s(literal 1 binary64)))))))))))
(* (+ 1 (* x (+ eps (+ (* x (+ (* 1/2 (* (+ eps -1) (+ eps -1))) (* (* x 1/6) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))))) -1)))) (- 1/2 (/ -1/2 eps)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(+ 1 (* x (+ eps (+ (* x (+ (* 1/2 (* (+ eps -1) (+ eps -1))) (* (* x 1/6) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))))) -1))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64)))))))
1
#s(literal 1 binary64)
(* x (+ eps (+ (* x (+ (* 1/2 (* (+ eps -1) (+ eps -1))) (* (* x 1/6) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))))) -1)))
(*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))))))
x
(+ eps (+ (* x (+ (* 1/2 (* (+ eps -1) (+ eps -1))) (* (* x 1/6) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))))) -1))
(+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64)))))
eps
(+ (* x (+ (* 1/2 (* (+ eps -1) (+ eps -1))) (* (* x 1/6) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))))) -1)
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64)))))
(* x (+ (* 1/2 (* (+ eps -1) (+ eps -1))) (* (* x 1/6) (* (+ eps -1) (* (+ eps -1) (+ eps -1))))))
(*.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))))
(+ (* 1/2 (* (+ eps -1) (+ eps -1))) (* (* x 1/6) (* (+ eps -1) (* (+ 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 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64)))))
(* 1/2 (* (+ eps -1) (+ eps -1)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))
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
#s(literal -1 binary64)
(* (* x 1/6) (* (+ eps -1) (* (+ eps -1) (+ eps -1))))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))))
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(* (+ eps -1) (* (+ eps -1) (+ eps -1)))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.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)
(+ (* (+ (* x (- -1 eps)) 1) (+ (/ 1/2 eps) -1/2)) (* (* x x) (* (+ (/ 1/2 eps) -1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))))))))
(*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (*.f64 x (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x (+.f64 eps #s(literal 1 binary64))))))))))
(* (+ (* x (- -1 eps)) 1) (+ (/ 1/2 eps) -1/2))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))
(+ (* x (- -1 eps)) 1)
(+.f64 #s(literal 1 binary64) (*.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)
(* (* x x) (* (+ (/ 1/2 eps) -1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))
(*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x (+.f64 eps #s(literal 1 binary64)))))) (*.f64 x (*.f64 x (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))
(* x x)
(*.f64 x x)
(* (+ (/ 1/2 eps) -1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))))))
(*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x (+.f64 eps #s(literal 1 binary64)))))))
(+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))
(*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/6 binary64) (*.f64 x (+.f64 eps #s(literal 1 binary64))))))
(* (* 1/2 (+ 1 eps)) (+ 1 eps))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))
(* 1/2 (+ 1 eps))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))
(+ 1 eps)
(+.f64 eps #s(literal 1 binary64))
(* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))))
(*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))
-1/6
#s(literal -1/6 binary64)
(* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))
(*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))
(* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))
(* (+ 1 eps) (+ 1 eps))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))

localize598.0ms (4.1%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy95.8%
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))))
✓accuracy91.1%
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))
✓accuracy84.3%
(*.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))
✓accuracy41.5%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))))
✓accuracy100.0%
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
✓accuracy99.9%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))
✓accuracy99.9%
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
✓accuracy39.8%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
✓accuracy99.9%
(*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))
✓accuracy99.8%
(*.f64 #s(literal -1/6 binary64) (*.f64 x x))
✓accuracy100.0%
(+.f64 x #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
✓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
209.0ms98×2valid
91.0ms63×1valid
76.0ms18×5exit
26.0ms43×0valid
17.0ms31×0unsamplable
13.0ms3×3valid
Compiler

Compiled 835 to 62 computations (92.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 283.0ms
ival-mult: 118.0ms (41.7% of total)
backward-pass: 47.0ms (16.6% of total)
ival-add: 47.0ms (16.6% of total)
...c/correct-round.rkt:119:19: 23.0ms (8.1% of total)
ival-exp: 19.0ms (6.7% of total)
ival-div: 16.0ms (5.7% of total)
ival-sub: 11.0ms (3.9% of total)
const: 2.0ms (0.7% of total)

series57.0ms (0.4%)

Counts
25 → 504
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 1) 1)>
#<alt (+ x 1)>
#<alt (* (+ x 1) (+ 1 (* x (* -1/6 (* x x)))))>
#<alt (+ 1 (* x (* -1/6 (* x x))))>
#<alt (* x (* -1/6 (* x x)))>
#<alt (- (* (+ 1 (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (+ 1 (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))>
#<alt (* (+ 1 (* x (+ eps -1))) (- 1/2 (/ -1/2 eps)))>
#<alt (+ 1 (* x (+ eps -1)))>
#<alt (* x (+ eps -1))>
#<alt (- (* (+ 1 (* x (+ eps (+ (* x (+ (* 1/2 (* (+ eps -1) (+ eps -1))) (* (* x 1/6) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))))) -1)))) (- 1/2 (/ -1/2 eps))) (+ (* (+ (* x (- -1 eps)) 1) (+ (/ 1/2 eps) -1/2)) (* (* x x) (* (+ (/ 1/2 eps) -1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))))>
#<alt (+ (* (+ (* x (- -1 eps)) 1) (+ (/ 1/2 eps) -1/2)) (* (* x x) (* (+ (/ 1/2 eps) -1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))))))))>
#<alt (* (+ 1 (* x (+ eps (+ (* x (+ (* 1/2 (* (+ eps -1) (+ eps -1))) (* (* x 1/6) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))))) -1)))) (- 1/2 (/ -1/2 eps)))>
#<alt (+ 1 (* x (+ eps (+ (* x (+ (* 1/2 (* (+ eps -1) (+ eps -1))) (* (* x 1/6) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))))) -1))))>
#<alt (/ 1 (exp x))>
#<alt (* -1/6 (* x x))>
#<alt (* x x)>
#<alt (* (+ 1 (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))>
#<alt (* x (- -1 eps))>
#<alt (* (* x x) (* (+ (/ 1/2 eps) -1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))>
#<alt (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))>
#<alt (* x (+ (* 1/2 (* (+ eps -1) (+ eps -1))) (* (* x 1/6) (* (+ eps -1) (* (+ eps -1) (+ eps -1))))))>
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>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 (* x (+ 1 (* -1/6 (pow x 2)))))>
#<alt (+ 1 (* x (+ 1 (* (pow x 2) (- (* -1/6 x) 1/6)))))>
#<alt (* -1/6 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/6 (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (- (/ 1 (pow x 3)) (+ 1/6 (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (- (+ (/ 1 (pow x 3)) (/ 1 (pow x 4))) (+ 1/6 (* 1/6 (/ 1 x)))))>
#<alt (* -1/6 (pow x 4))>
#<alt (* -1 (* (pow x 4) (+ 1/6 (* 1/6 (/ 1 x)))))>
#<alt (* (pow x 4) (- (* -1 (/ (- 1/6 (/ 1 (pow x 2))) x)) 1/6))>
#<alt (* (pow x 4) (- (* -1 (/ (+ 1/6 (* -1 (/ (+ 1 (/ 1 x)) (pow x 2)))) x)) 1/6))>
#<alt 1>
#<alt (+ 1 (* -1/6 (pow x 3)))>
#<alt (+ 1 (* -1/6 (pow x 3)))>
#<alt (+ 1 (* -1/6 (pow x 3)))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (/ 1 (pow x 3)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 3)) 1/6))>
#<alt (* (pow x 3) (- (/ 1 (pow x 3)) 1/6))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 3)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 3)))))>
#<alt (* -1 (* (pow x 3) (- 1/6 (/ 1 (pow x 3)))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1/6 (pow x 3))>
#<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 (- (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))>
#<alt (+ 1 (* x (- (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))>
#<alt (* x (- (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))))>
#<alt (* x (- (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (/ 1 x)) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))))>
#<alt (* x (- (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (/ 1 x)) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))))>
#<alt (* x (- (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (/ 1 x)) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))))>
#<alt (* -1 (* x (- (* -1 (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))))>
#<alt (* -1 (* x (- (* -1 (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (+ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1 (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (+ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (/ 1 x)))))>
#<alt (* -1 (* x (- (* -1 (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (+ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (/ 1 x)))))>
#<alt (- (+ (* 1/2 x) (* 1/2 (+ 1 (* -1 x)))) (+ (* -1/2 x) (* -1/2 (+ 1 (* -1 x)))))>
#<alt (- (+ (* 1/2 x) (* 1/2 (+ 1 (* -1 x)))) (+ (* -1/2 x) (* -1/2 (+ 1 (* -1 x)))))>
#<alt (- (+ (* 1/2 x) (* 1/2 (+ 1 (* -1 x)))) (+ (* -1/2 x) (* -1/2 (+ 1 (* -1 x)))))>
#<alt (- (+ (* 1/2 x) (* 1/2 (+ 1 (* -1 x)))) (+ (* -1/2 x) (* -1/2 (+ 1 (* -1 x)))))>
#<alt (- (+ (* 1/2 x) (* 1/2 (+ 1 (* -1 x)))) (+ (* -1/2 x) (* -1/2 (+ 1 (* -1 x)))))>
#<alt (- (+ (* 1/2 x) (* 1/2 (+ 1 (* -1 x)))) (+ (* -1/2 x) (* -1/2 (+ 1 (* -1 x)))))>
#<alt (- (+ (* 1/2 x) (* 1/2 (+ 1 (* -1 x)))) (+ (* -1/2 x) (* -1/2 (+ 1 (* -1 x)))))>
#<alt (- (+ (* 1/2 x) (* 1/2 (+ 1 (* -1 x)))) (+ (* -1/2 x) (* -1/2 (+ 1 (* -1 x)))))>
#<alt (- (+ (* 1/2 x) (* 1/2 (+ 1 (* -1 x)))) (+ (* -1/2 x) (* -1/2 (+ 1 (* -1 x)))))>
#<alt (- (+ (* 1/2 x) (* 1/2 (+ 1 (* -1 x)))) (+ (* -1/2 x) (* -1/2 (+ 1 (* -1 x)))))>
#<alt (- (+ (* 1/2 x) (* 1/2 (+ 1 (* -1 x)))) (+ (* -1/2 x) (* -1/2 (+ 1 (* -1 x)))))>
#<alt (- (+ (* 1/2 x) (* 1/2 (+ 1 (* -1 x)))) (+ (* -1/2 x) (* -1/2 (+ 1 (* -1 x)))))>
#<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 (* 1/2 (/ 1 eps))) (- eps 1)))))>
#<alt (+ 1/2 (+ (* 1/2 (/ 1 eps)) (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))))>
#<alt (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))>
#<alt (* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (+ (/ 1/2 (* eps x)) (* 1/2 (/ 1 x)))))>
#<alt (* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (+ (/ 1/2 (* eps x)) (* 1/2 (/ 1 x)))))>
#<alt (* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (+ (/ 1/2 (* eps x)) (* 1/2 (/ 1 x)))))>
#<alt (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))>
#<alt (* -1 (* x (+ (* -1 (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (* -1 (/ (+ 1/2 (* 1/2 (/ 1 eps))) x)))))>
#<alt (* -1 (* x (+ (* -1 (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (* -1 (/ (+ 1/2 (* 1/2 (/ 1 eps))) x)))))>
#<alt (* -1 (* x (+ (* -1 (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (* -1 (/ (+ 1/2 (* 1/2 (/ 1 eps))) x)))))>
#<alt (* 1/2 (/ (+ 1 (* -1 x)) eps))>
#<alt (/ (+ (* 1/2 (+ 1 (* -1 x))) (* eps (+ (* 1/2 x) (* 1/2 (+ 1 (* -1 x)))))) eps)>
#<alt (/ (+ (* 1/2 (+ 1 (* -1 x))) (* eps (+ (* 1/2 x) (+ (* 1/2 (* eps x)) (* 1/2 (+ 1 (* -1 x))))))) eps)>
#<alt (/ (+ (* 1/2 (+ 1 (* -1 x))) (* eps (+ (* 1/2 x) (+ (* 1/2 (* eps x)) (* 1/2 (+ 1 (* -1 x))))))) eps)>
#<alt (* 1/2 (* eps x))>
#<alt (* eps (+ (* 1/2 x) (+ (* 1/2 (/ x eps)) (* 1/2 (/ (+ 1 (* -1 x)) eps)))))>
#<alt (* eps (+ (* 1/2 x) (+ (* 1/2 (/ x eps)) (+ (* 1/2 (/ (+ 1 (* -1 x)) eps)) (* 1/2 (/ (+ 1 (* -1 x)) (pow eps 2)))))))>
#<alt (* eps (+ (* 1/2 x) (+ (* 1/2 (/ x eps)) (+ (* 1/2 (/ (+ 1 (* -1 x)) eps)) (* 1/2 (/ (+ 1 (* -1 x)) (pow eps 2)))))))>
#<alt (* 1/2 (* eps x))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ (* 1/2 x) (* 1/2 (+ 1 (* -1 x)))) eps)) (* -1/2 x))))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ (* 1/2 x) (+ (* 1/2 (+ 1 (* -1 x))) (* 1/2 (/ (+ 1 (* -1 x)) eps)))) eps)) (* -1/2 x))))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ (* 1/2 x) (+ (* 1/2 (+ 1 (* -1 x))) (* 1/2 (/ (+ 1 (* -1 x)) eps)))) eps)) (* -1/2 x))))>
#<alt 1>
#<alt (+ 1 (* x (- eps 1)))>
#<alt (+ 1 (* x (- eps 1)))>
#<alt (+ 1 (* x (- eps 1)))>
#<alt (* x (- eps 1))>
#<alt (* x (- (+ eps (/ 1 x)) 1))>
#<alt (* x (- (+ eps (/ 1 x)) 1))>
#<alt (* x (- (+ eps (/ 1 x)) 1))>
#<alt (* x (- eps 1))>
#<alt (* -1 (* x (- (* -1 (- eps 1)) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (- eps 1)) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (- eps 1)) (/ 1 x))))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (+ (* -1 x) (* eps x)))>
#<alt (+ 1 (+ (* -1 x) (* eps x)))>
#<alt (+ 1 (+ (* -1 x) (* eps x)))>
#<alt (* eps x)>
#<alt (* eps (+ x (+ (* -1 (/ x eps)) (/ 1 eps))))>
#<alt (* eps (+ x (+ (* -1 (/ x eps)) (/ 1 eps))))>
#<alt (* eps (+ x (+ (* -1 (/ x eps)) (/ 1 eps))))>
#<alt (* eps x)>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) eps)))))>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) eps)))))>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ (+ 1 (* -1 x)) 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))))>
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#<alt (* 1/12 (* (pow eps 3) (pow x 3)))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* 1/12 (pow x 3)) (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x))))) eps)) (* -1/12 (pow x 3)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* 1/2 (* x (- (* x (+ 1 (* -1/2 x))) 1)))) eps)) (+ (* 1/12 (pow x 3)) (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))))) eps)) (* -1/12 (pow x 3)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* x (- (* x (+ 1 (* -1/2 x))) 1))) (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))) eps)) (+ (* -1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* 1/2 (* x (- (* x (+ 1 (* -1/2 x))) 1))))) eps)) (+ (* 1/12 (pow x 3)) (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))))) eps)) (* -1/12 (pow x 3)))))>
#<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 (* 1/6 (* (pow x 3) (pow (- eps 1) 3)))>
#<alt (* (pow x 3) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))>
#<alt (* (pow x 3) (- (+ (* 1/6 (pow (- eps 1) 3)) (+ (* 1/2 (/ (pow (- eps 1) 2) x)) (/ eps (pow x 2)))) (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (- (+ (* 1/6 (pow (- eps 1) 3)) (+ (* 1/2 (/ (pow (- eps 1) 2) x)) (+ (/ 1 (pow x 3)) (/ eps (pow x 2))))) (/ 1 (pow x 2))))>
#<alt (* 1/6 (* (pow x 3) (pow (- eps 1) 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow (- eps 1) 2) x)) (* -1/6 (pow (- eps 1) 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (* 1/2 (pow (- eps 1) 2)) (/ eps x)) (/ 1 x)) x)) (* -1/6 (pow (- eps 1) 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (- eps 1)) (/ 1 x)) x)) (* 1/2 (pow (- eps 1) 2))) x)) (* -1/6 (pow (- eps 1) 3)))))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (+ 1 (+ (* eps (* x (+ 1 (* x (- (* 1/2 x) 1))))) (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))>
#<alt (+ 1 (+ (* eps (+ (* eps (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* x (+ 1 (* x (- (* 1/2 x) 1)))))) (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))>
#<alt (+ 1 (+ (* eps (+ (* eps (+ (* 1/6 (* eps (pow x 3))) (* (pow x 2) (+ 1/2 (* -1/2 x))))) (* x (+ 1 (* x (- (* 1/2 x) 1)))))) (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))>
#<alt (* 1/6 (* (pow eps 3) (pow x 3)))>
#<alt (* (pow eps 3) (+ (* 1/6 (pow x 3)) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps)))>
#<alt (* (pow eps 3) (+ (* 1/6 (pow x 3)) (+ (/ (* x (+ 1 (* x (- (* 1/2 x) 1)))) (pow eps 2)) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps))))>
#<alt (* (pow eps 3) (+ (* 1/6 (pow x 3)) (+ (/ 1 (pow eps 3)) (+ (/ (* x (+ 1 (* x (- (* 1/2 x) 1)))) (pow eps 2)) (+ (/ (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) (pow eps 3)) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps))))))>
#<alt (* 1/6 (* (pow eps 3) (pow x 3)))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* x (+ 1 (* -1/2 x))) 1)) eps)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) eps)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) eps)) (* x (- (* x (+ 1 (* -1/2 x))) 1))) eps)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) eps)) (* -1/6 (pow x 3)))))>
#<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 (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (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 (- (* 1/2 (/ 1 eps)) 1/2)>
#<alt (- (+ (* -1 (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))) (* 1/2 (/ 1 eps))) 1/2)>
#<alt (- (+ (* -1 (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))) (* 1/2 (/ 1 eps))) 1/2)>
#<alt (- (+ (* -1 (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))) (* 1/2 (/ 1 eps))) 1/2)>
#<alt (* -1 (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (* x (- (+ (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))) (/ 1/2 (* eps x))) (* 1/2 (/ 1 x))))>
#<alt (* x (- (+ (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))) (/ 1/2 (* eps x))) (* 1/2 (/ 1 x))))>
#<alt (* x (- (+ (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))) (/ 1/2 (* eps x))) (* 1/2 (/ 1 x))))>
#<alt (* -1 (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (* 1/2 (/ 1 eps)) 1/2) x)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (* 1/2 (/ 1 eps)) 1/2) x)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))))>
#<alt (* -1 (* x (+ (* -1 (/ (- (* 1/2 (/ 1 eps)) 1/2) x)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))))>
#<alt (* 1/2 (/ (+ 1 (* -1 x)) eps))>
#<alt (/ (+ (* 1/2 (+ 1 (* -1 x))) (* eps (+ (* -1/2 x) (* -1/2 (+ 1 (* -1 x)))))) eps)>
#<alt (/ (+ (* 1/2 (+ 1 (* -1 x))) (* eps (+ (* -1/2 x) (+ (* -1/2 (+ 1 (* -1 x))) (* 1/2 (* eps x)))))) eps)>
#<alt (/ (+ (* 1/2 (+ 1 (* -1 x))) (* eps (+ (* -1/2 x) (+ (* -1/2 (+ 1 (* -1 x))) (* 1/2 (* eps x)))))) eps)>
#<alt (* 1/2 (* eps x))>
#<alt (* eps (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ (+ 1 (* -1 x)) eps)) (* 1/2 x))))>
#<alt (* eps (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ (+ 1 (* -1 x)) eps)) (+ (* 1/2 x) (* 1/2 (/ (+ 1 (* -1 x)) (pow eps 2)))))))>
#<alt (* eps (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ (+ 1 (* -1 x)) eps)) (+ (* 1/2 x) (* 1/2 (/ (+ 1 (* -1 x)) (pow eps 2)))))))>
#<alt (* 1/2 (* eps x))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ (* -1/2 x) (* -1/2 (+ 1 (* -1 x)))) eps)) (* -1/2 x))))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ (* -1/2 x) (+ (* -1/2 (+ 1 (* -1 x))) (* 1/2 (/ (+ 1 (* -1 x)) eps)))) eps)) (* -1/2 x))))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ (* -1/2 x) (+ (* -1/2 (+ 1 (* -1 x))) (* 1/2 (/ (+ 1 (* -1 x)) eps)))) eps)) (* -1/2 x))))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (* -1 (* eps x))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* -1 (* eps x))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<alt (* 1/2 (* (pow x 2) (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (* (pow x 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)))))>
#<alt (* (pow x 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)))))>
#<alt (* (pow x 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)))))>
#<alt (* -1/6 (* (pow x 3) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (* (pow x 3) (+ (* -1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)) x))))>
#<alt (* (pow x 3) (+ (* -1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)) x))))>
#<alt (* (pow x 3) (+ (* -1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)) x))))>
#<alt (* -1/6 (* (pow x 3) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)) x)) (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)) x)) (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)) x)) (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))))>
#<alt (* 1/2 (/ (* (pow x 2) (+ 1/2 (* -1/6 x))) eps))>
#<alt (/ (+ (* 1/2 (* (pow x 2) (+ 1/2 (* -1/6 x)))) (* eps (* (pow x 2) (+ (* -1/2 (+ 1/2 (* -1/6 x))) (* 1/2 (+ 1 (* -1/2 x))))))) eps)>
#<alt (/ (+ (* 1/2 (* (pow x 2) (+ 1/2 (* -1/6 x)))) (* eps (+ (* eps (* (pow x 2) (+ (* -1/2 (+ 1 (* -1/2 x))) (* 1/2 (+ 1/2 (* -1/2 x)))))) (* (pow x 2) (+ (* -1/2 (+ 1/2 (* -1/6 x))) (* 1/2 (+ 1 (* -1/2 x)))))))) eps)>
#<alt (/ (+ (* 1/2 (* (pow x 2) (+ 1/2 (* -1/6 x)))) (* eps (+ (* eps (+ (* eps (* (pow x 2) (+ (* -1/2 (+ 1/2 (* -1/2 x))) (* -1/12 x)))) (* (pow x 2) (+ (* -1/2 (+ 1 (* -1/2 x))) (* 1/2 (+ 1/2 (* -1/2 x))))))) (* (pow x 2) (+ (* -1/2 (+ 1/2 (* -1/6 x))) (* 1/2 (+ 1 (* -1/2 x)))))))) eps)>
#<alt (* 1/12 (* (pow eps 3) (pow x 3)))>
#<alt (* (pow eps 3) (+ (* 1/12 (pow x 3)) (/ (* (pow x 2) (+ (* -1/2 (+ 1/2 (* -1/2 x))) (* -1/12 x))) eps)))>
#<alt (* (pow eps 3) (+ (* 1/12 (pow x 3)) (+ (/ (* (pow x 2) (+ (* -1/2 (+ 1/2 (* -1/2 x))) (* -1/12 x))) eps) (/ (* (pow x 2) (+ (* -1/2 (+ 1 (* -1/2 x))) (* 1/2 (+ 1/2 (* -1/2 x))))) (pow eps 2)))))>
#<alt (* (pow eps 3) (+ (* 1/12 (pow x 3)) (+ (/ (* (pow x 2) (+ (* -1/2 (+ 1/2 (* -1/2 x))) (* -1/12 x))) eps) (+ (/ (* (pow x 2) (+ (* -1/2 (+ 1/2 (* -1/6 x))) (* 1/2 (+ 1 (* -1/2 x))))) (pow eps 3)) (/ (* (pow x 2) (+ (* -1/2 (+ 1 (* -1/2 x))) (* 1/2 (+ 1/2 (* -1/2 x))))) (pow eps 2))))))>
#<alt (* 1/12 (* (pow eps 3) (pow x 3)))>
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#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (+ (* -1/2 (+ 1/2 (* -1/2 x))) (* -1/2 (- (* 1/2 x) 1)))) eps)) (* (pow x 2) (+ (* -1/2 (+ 1/2 (* -1/2 x))) (* -1/12 x)))) eps)) (* -1/12 (pow x 3)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (+ (* -1/2 (+ 1/2 (* -1/6 x))) (* -1/2 (- (* 1/2 x) 1)))) eps)) (* (pow x 2) (+ (* -1/2 (+ 1/2 (* -1/2 x))) (* -1/2 (- (* 1/2 x) 1))))) eps)) (* (pow x 2) (+ (* -1/2 (+ 1/2 (* -1/2 x))) (* -1/12 x)))) eps)) (* -1/12 (pow x 3)))))>
#<alt (+ 1/2 (* -1/6 x))>
#<alt (+ 1/2 (+ (* -1/6 x) (* eps (+ 1 (* -1/2 x)))))>
#<alt (+ 1/2 (+ (* -1/6 x) (* eps (+ 1 (+ (* -1/2 x) (* eps (+ 1/2 (* -1/2 x))))))))>
#<alt (+ 1/2 (+ (* -1/6 x) (* eps (+ 1 (+ (* -1/2 x) (* eps (+ 1/2 (+ (* -1/2 x) (* -1/6 (* eps x))))))))))>
#<alt (* -1/6 (* (pow eps 3) x))>
#<alt (* (pow eps 3) (+ (* -1/2 (/ x eps)) (+ (* -1/6 x) (* 1/2 (/ 1 eps)))))>
#<alt (* (pow eps 3) (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/6 x) (+ (* 1/2 (/ 1 eps)) (/ 1 (pow eps 2)))))))>
#<alt (* (pow eps 3) (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/6 x) (+ (* -1/6 (/ x (pow eps 3))) (+ (* 1/2 (/ 1 eps)) (+ (/ 1 (pow eps 2)) (* 1/2 (/ 1 (pow eps 3))))))))))>
#<alt (* -1/6 (* (pow eps 3) x))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/2 (* -1/2 x)) eps)) (* 1/6 x))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- (* 1/2 x) 1) eps)) (* -1/2 x))) eps)) (* 1/6 x))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- (+ (* -1 (/ (+ 1/2 (* -1/6 x)) eps)) (* 1/2 x)) 1) eps)) (* -1/2 x))) eps)) (* 1/6 x))))>
#<alt (* 1/2 (pow (+ 1 eps) 2))>
#<alt (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))>
#<alt (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))>
#<alt (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))>
#<alt (* -1/6 (* x (pow (+ 1 eps) 3)))>
#<alt (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))>
#<alt (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))>
#<alt (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))>
#<alt (* -1/6 (* x (pow (+ 1 eps) 3)))>
#<alt (* -1 (* x (+ (* -1/2 (/ (pow (+ 1 eps) 2) x)) (* 1/6 (pow (+ 1 eps) 3)))))>
#<alt (* -1 (* x (+ (* -1/2 (/ (pow (+ 1 eps) 2) x)) (* 1/6 (pow (+ 1 eps) 3)))))>
#<alt (* -1 (* x (+ (* -1/2 (/ (pow (+ 1 eps) 2) x)) (* 1/6 (pow (+ 1 eps) 3)))))>
#<alt (* 1/2 (* x (pow (- eps 1) 2)))>
#<alt (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))>
#<alt (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))>
#<alt (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))>
#<alt (* 1/6 (* (pow x 2) (pow (- eps 1) 3)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))>
#<alt (* 1/6 (* (pow x 2) (pow (- eps 1) 3)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))>
#<alt (* x (+ 1/2 (* -1/6 x)))>
#<alt (+ (* eps (* x (- (* 1/2 x) 1))) (* x (+ 1/2 (* -1/6 x))))>
#<alt (+ (* eps (+ (* eps (* x (+ 1/2 (* -1/2 x)))) (* x (- (* 1/2 x) 1)))) (* x (+ 1/2 (* -1/6 x))))>
#<alt (+ (* eps (+ (* eps (+ (* 1/6 (* eps (pow x 2))) (* x (+ 1/2 (* -1/2 x))))) (* x (- (* 1/2 x) 1)))) (* x (+ 1/2 (* -1/6 x))))>
#<alt (* 1/6 (* (pow eps 3) (pow x 2)))>
#<alt (* (pow eps 3) (+ (* 1/6 (pow x 2)) (/ (* x (+ 1/2 (* -1/2 x))) eps)))>
#<alt (* (pow eps 3) (+ (* 1/6 (pow x 2)) (+ (/ (* x (+ 1/2 (* -1/2 x))) eps) (/ (* x (- (* 1/2 x) 1)) (pow eps 2)))))>
#<alt (* (pow eps 3) (+ (* 1/6 (pow x 2)) (+ (/ (* x (+ 1/2 (* -1/2 x))) eps) (+ (/ (* x (+ 1/2 (* -1/6 x))) (pow eps 3)) (/ (* x (- (* 1/2 x) 1)) (pow eps 2))))))>
#<alt (* 1/6 (* (pow eps 3) (pow x 2)))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (* x (+ 1/2 (* -1/2 x))) eps)) (* -1/6 (pow x 2)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (* x (+ 1 (* -1/2 x))) eps)) (* x (+ 1/2 (* -1/2 x)))) eps)) (* -1/6 (pow x 2)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (+ 1/2 (* -1/6 x))) eps)) (* x (+ 1 (* -1/2 x)))) eps)) (* x (+ 1/2 (* -1/2 x)))) eps)) (* -1/6 (pow x 2)))))>
Calls

126 calls:

TimeVariablePointExpression
17.0ms
eps
@0
(- (* (+ 1 (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (+ 1 (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
1.0ms
eps
@inf
(- (* (+ 1 (* x (+ eps (+ (* x (+ (* 1/2 (* (+ eps -1) (+ eps -1))) (* (* x 1/6) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))))) -1)))) (- 1/2 (/ -1/2 eps))) (+ (* (+ (* x (- -1 eps)) 1) (+ (/ 1/2 eps) -1/2)) (* (* x x) (* (+ (/ 1/2 eps) -1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))))
1.0ms
x
@0
(* x (- -1 eps))
1.0ms
eps
@-inf
(- (* (+ 1 (* x (+ eps (+ (* x (+ (* 1/2 (* (+ eps -1) (+ eps -1))) (* (* x 1/6) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))))) -1)))) (- 1/2 (/ -1/2 eps))) (+ (* (+ (* x (- -1 eps)) 1) (+ (/ 1/2 eps) -1/2)) (* (* x x) (* (+ (/ 1/2 eps) -1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))))
1.0ms
eps
@0
(- (* (+ 1 (* x (+ eps (+ (* x (+ (* 1/2 (* (+ eps -1) (+ eps -1))) (* (* x 1/6) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))))) -1)))) (- 1/2 (/ -1/2 eps))) (+ (* (+ (* x (- -1 eps)) 1) (+ (/ 1/2 eps) -1/2)) (* (* x x) (* (+ (/ 1/2 eps) -1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))))

rewrite369.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
3090×*-lowering-*.f32
3090×*-lowering-*.f64
1758×/-lowering-/.f32
1758×/-lowering-/.f64
1728×sum4-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061380
1471354
25250354
08381354
Stop Event
1×iter limit
1×node limit
Counts
25 → 443
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 1) 1)
(+ x 1)
(* (+ x 1) (+ 1 (* x (* -1/6 (* x x)))))
(+ 1 (* x (* -1/6 (* x x))))
(* x (* -1/6 (* x x)))
(- (* (+ 1 (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (+ 1 (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(* (+ 1 (* x (+ eps -1))) (- 1/2 (/ -1/2 eps)))
(+ 1 (* x (+ eps -1)))
(* x (+ eps -1))
(- (* (+ 1 (* x (+ eps (+ (* x (+ (* 1/2 (* (+ eps -1) (+ eps -1))) (* (* x 1/6) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))))) -1)))) (- 1/2 (/ -1/2 eps))) (+ (* (+ (* x (- -1 eps)) 1) (+ (/ 1/2 eps) -1/2)) (* (* x x) (* (+ (/ 1/2 eps) -1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))))
(+ (* (+ (* x (- -1 eps)) 1) (+ (/ 1/2 eps) -1/2)) (* (* x x) (* (+ (/ 1/2 eps) -1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))))))))
(* (+ 1 (* x (+ eps (+ (* x (+ (* 1/2 (* (+ eps -1) (+ eps -1))) (* (* x 1/6) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))))) -1)))) (- 1/2 (/ -1/2 eps)))
(+ 1 (* x (+ eps (+ (* x (+ (* 1/2 (* (+ eps -1) (+ eps -1))) (* (* x 1/6) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))))) -1))))
(/ 1 (exp x))
(* -1/6 (* x x))
(* x x)
(* (+ 1 (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))
(* x (- -1 eps))
(* (* x x) (* (+ (/ 1/2 eps) -1/2) (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))
(+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* -1/6 (* x (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))
(* x (+ (* 1/2 (* (+ eps -1) (+ eps -1))) (* (* x 1/6) (* (+ eps -1) (* (+ eps -1) (+ eps -1))))))
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))))
(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 (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))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 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 eps))) (/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64)))))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 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 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))) (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))))) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))))) (exp.f64 (*.f64 x eps))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))))) #s(literal 2 binary64)))) (-.f64 (exp.f64 (*.f64 x eps)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64)))))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))))) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))))) (exp.f64 (*.f64 x eps))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (*.f64 x eps)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64)))))))
(*.f64 (+.f64 (exp.f64 (*.f64 x eps)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64)))))) #s(literal 1/2 binary64))
(+.f64 (exp.f64 (*.f64 x eps)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))))))
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))))) (exp.f64 (*.f64 x eps)))
(-.f64 (/.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (-.f64 (exp.f64 (*.f64 x eps)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))))))) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))))) #s(literal 2 binary64)) (-.f64 (exp.f64 (*.f64 x eps)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))))))))
(fma.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 (neg.f64 (*.f64 x eps))) (exp.f64 (*.f64 x eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))))) (exp.f64 (*.f64 x eps))))) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (*.f64 x eps)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64)))))) (-.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))))) #s(literal 3 binary64))) (+.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))))) (exp.f64 (*.f64 x eps))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))))) #s(literal 2 binary64)) (-.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (/.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))))))))
(/.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))))) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x eps)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))))) (exp.f64 (*.f64 x eps)))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (exp.f64 (*.f64 x eps)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))))) #s(literal 2 binary64)) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps)))) (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))))) (exp.f64 (*.f64 x eps))))
(*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))))) (exp.f64 (*.f64 x eps)))))))
(*.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (pow.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x eps)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))))))))
(exp.f64 (-.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x eps)))
(neg.f64 (/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x eps)))))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (exp.f64 (*.f64 x eps))))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 (*.f64 x eps)))
(/.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x eps)))))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (exp.f64 x)) (exp.f64 (*.f64 x eps))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))))))
(/.f64 #s(literal -1 binary64) (*.f64 (exp.f64 (*.f64 x eps)) (-.f64 #s(literal 0 binary64) (exp.f64 x))))
(/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x eps))))
(/.f64 (exp.f64 (neg.f64 (*.f64 x eps))) (exp.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (exp.f64 (neg.f64 (*.f64 x eps)))) (-.f64 #s(literal 0 binary64) (exp.f64 x)))
(pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))
(pow.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))))))
(*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (exp.f64 (neg.f64 (*.f64 x eps))))
(*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 x eps)))))
(*.f64 (exp.f64 (neg.f64 (*.f64 x eps))) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(exp.f64 (*.f64 x eps))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) eps))
(pow.f64 (exp.f64 x) eps)
(pow.f64 (exp.f64 eps) x)
(*.f64 (pow.f64 (exp.f64 x) (/.f64 eps #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 eps #s(literal 2 binary64))))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))
(/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))
(/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(+.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))))
(+.f64 #s(literal 1 binary64) (+.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/6 binary64)))))))
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(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) (*.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))))) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 x (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))))))))
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(*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 eps #s(literal -1 binary64)))))) x)

simplify442.0ms (3%)

Algorithm
1×egg-herbie
Rules
4294×*-lowering-*.f32
4294×*-lowering-*.f64
3740×+-lowering-+.f64
3740×+-lowering-+.f32
1846×sum3-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
011219886
142149382
081389382
Stop Event
1×iter limit
1×node limit
Counts
504 → 504
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)))
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1
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(* eps (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ (+ 1 (* -1 x)) eps)) (+ (* 1/2 x) (* 1/2 (/ (+ 1 (* -1 x)) (pow eps 2)))))))
(* 1/2 (* eps x))
(* -1 (* eps (+ (* -1 (/ (+ (* -1/2 x) (* -1/2 (+ 1 (* -1 x)))) eps)) (* -1/2 x))))
(* -1 (* eps (+ (* -1 (/ (+ (* -1/2 x) (+ (* -1/2 (+ 1 (* -1 x))) (* 1/2 (/ (+ 1 (* -1 x)) eps)))) eps)) (* -1/2 x))))
(* -1 (* eps (+ (* -1 (/ (+ (* -1/2 x) (+ (* -1/2 (+ 1 (* -1 x))) (* 1/2 (/ (+ 1 (* -1 x)) eps)))) eps)) (* -1/2 x))))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 x)
(+ (* -1 x) (* -1 (* eps x)))
(+ (* -1 x) (* -1 (* eps x)))
(+ (* -1 x) (* -1 (* eps x)))
(* -1 (* eps x))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* -1 (* eps x))
(* -1 (* eps (+ x (/ x eps))))
(* -1 (* eps (+ x (/ x eps))))
(* -1 (* eps (+ x (/ x eps))))
(* 1/2 (* (pow x 2) (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))
(* (pow x 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)))))
(* (pow x 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)))))
(* (pow x 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 (* (pow x 3) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(* (pow x 3) (+ (* -1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)) x))))
(* (pow x 3) (+ (* -1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)) x))))
(* (pow x 3) (+ (* -1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)) x))))
(* -1/6 (* (pow x 3) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)) x)) (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)) x)) (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)) x)) (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))))
(* 1/2 (/ (* (pow x 2) (+ 1/2 (* -1/6 x))) eps))
(/ (+ (* 1/2 (* (pow x 2) (+ 1/2 (* -1/6 x)))) (* eps (* (pow x 2) (+ (* -1/2 (+ 1/2 (* -1/6 x))) (* 1/2 (+ 1 (* -1/2 x))))))) eps)
(/ (+ (* 1/2 (* (pow x 2) (+ 1/2 (* -1/6 x)))) (* eps (+ (* eps (* (pow x 2) (+ (* -1/2 (+ 1 (* -1/2 x))) (* 1/2 (+ 1/2 (* -1/2 x)))))) (* (pow x 2) (+ (* -1/2 (+ 1/2 (* -1/6 x))) (* 1/2 (+ 1 (* -1/2 x)))))))) eps)
(/ (+ (* 1/2 (* (pow x 2) (+ 1/2 (* -1/6 x)))) (* eps (+ (* eps (+ (* eps (* (pow x 2) (+ (* -1/2 (+ 1/2 (* -1/2 x))) (* -1/12 x)))) (* (pow x 2) (+ (* -1/2 (+ 1 (* -1/2 x))) (* 1/2 (+ 1/2 (* -1/2 x))))))) (* (pow x 2) (+ (* -1/2 (+ 1/2 (* -1/6 x))) (* 1/2 (+ 1 (* -1/2 x)))))))) eps)
(* 1/12 (* (pow eps 3) (pow x 3)))
(* (pow eps 3) (+ (* 1/12 (pow x 3)) (/ (* (pow x 2) (+ (* -1/2 (+ 1/2 (* -1/2 x))) (* -1/12 x))) eps)))
(* (pow eps 3) (+ (* 1/12 (pow x 3)) (+ (/ (* (pow x 2) (+ (* -1/2 (+ 1/2 (* -1/2 x))) (* -1/12 x))) eps) (/ (* (pow x 2) (+ (* -1/2 (+ 1 (* -1/2 x))) (* 1/2 (+ 1/2 (* -1/2 x))))) (pow eps 2)))))
(* (pow eps 3) (+ (* 1/12 (pow x 3)) (+ (/ (* (pow x 2) (+ (* -1/2 (+ 1/2 (* -1/2 x))) (* -1/12 x))) eps) (+ (/ (* (pow x 2) (+ (* -1/2 (+ 1/2 (* -1/6 x))) (* 1/2 (+ 1 (* -1/2 x))))) (pow eps 3)) (/ (* (pow x 2) (+ (* -1/2 (+ 1 (* -1/2 x))) (* 1/2 (+ 1/2 (* -1/2 x))))) (pow eps 2))))))
(* 1/12 (* (pow eps 3) (pow x 3)))
(* -1 (* (pow eps 3) (+ (* -1 (/ (* (pow x 2) (+ (* -1/2 (+ 1/2 (* -1/2 x))) (* -1/12 x))) eps)) (* -1/12 (pow x 3)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (+ (* -1/2 (+ 1/2 (* -1/2 x))) (* -1/2 (- (* 1/2 x) 1)))) eps)) (* (pow x 2) (+ (* -1/2 (+ 1/2 (* -1/2 x))) (* -1/12 x)))) eps)) (* -1/12 (pow x 3)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow x 2) (+ (* -1/2 (+ 1/2 (* -1/6 x))) (* -1/2 (- (* 1/2 x) 1)))) eps)) (* (pow x 2) (+ (* -1/2 (+ 1/2 (* -1/2 x))) (* -1/2 (- (* 1/2 x) 1))))) eps)) (* (pow x 2) (+ (* -1/2 (+ 1/2 (* -1/2 x))) (* -1/12 x)))) eps)) (* -1/12 (pow x 3)))))
(+ 1/2 (* -1/6 x))
(+ 1/2 (+ (* -1/6 x) (* eps (+ 1 (* -1/2 x)))))
(+ 1/2 (+ (* -1/6 x) (* eps (+ 1 (+ (* -1/2 x) (* eps (+ 1/2 (* -1/2 x))))))))
(+ 1/2 (+ (* -1/6 x) (* eps (+ 1 (+ (* -1/2 x) (* eps (+ 1/2 (+ (* -1/2 x) (* -1/6 (* eps x))))))))))
(* -1/6 (* (pow eps 3) x))
(* (pow eps 3) (+ (* -1/2 (/ x eps)) (+ (* -1/6 x) (* 1/2 (/ 1 eps)))))
(* (pow eps 3) (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/6 x) (+ (* 1/2 (/ 1 eps)) (/ 1 (pow eps 2)))))))
(* (pow eps 3) (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/6 x) (+ (* -1/6 (/ x (pow eps 3))) (+ (* 1/2 (/ 1 eps)) (+ (/ 1 (pow eps 2)) (* 1/2 (/ 1 (pow eps 3))))))))))
(* -1/6 (* (pow eps 3) x))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/2 (* -1/2 x)) eps)) (* 1/6 x))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- (* 1/2 x) 1) eps)) (* -1/2 x))) eps)) (* 1/6 x))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- (+ (* -1 (/ (+ 1/2 (* -1/6 x)) eps)) (* 1/2 x)) 1) eps)) (* -1/2 x))) eps)) (* 1/6 x))))
(* 1/2 (pow (+ 1 eps) 2))
(+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))
(+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))
(+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))
(* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(* -1 (* x (+ (* -1/2 (/ (pow (+ 1 eps) 2) x)) (* 1/6 (pow (+ 1 eps) 3)))))
(* -1 (* x (+ (* -1/2 (/ (pow (+ 1 eps) 2) x)) (* 1/6 (pow (+ 1 eps) 3)))))
(* -1 (* x (+ (* -1/2 (/ (pow (+ 1 eps) 2) x)) (* 1/6 (pow (+ 1 eps) 3)))))
(* 1/2 (* x (pow (- eps 1) 2)))
(* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))
(* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))
(* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))
(* 1/6 (* (pow x 2) (pow (- eps 1) 3)))
(* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))
(* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))
(* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))
(* 1/6 (* (pow x 2) (pow (- eps 1) 3)))
(* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))
(* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))
(* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))
(* x (+ 1/2 (* -1/6 x)))
(+ (* eps (* x (- (* 1/2 x) 1))) (* x (+ 1/2 (* -1/6 x))))
(+ (* eps (+ (* eps (* x (+ 1/2 (* -1/2 x)))) (* x (- (* 1/2 x) 1)))) (* x (+ 1/2 (* -1/6 x))))
(+ (* eps (+ (* eps (+ (* 1/6 (* eps (pow x 2))) (* x (+ 1/2 (* -1/2 x))))) (* x (- (* 1/2 x) 1)))) (* x (+ 1/2 (* -1/6 x))))
(* 1/6 (* (pow eps 3) (pow x 2)))
(* (pow eps 3) (+ (* 1/6 (pow x 2)) (/ (* x (+ 1/2 (* -1/2 x))) eps)))
(* (pow eps 3) (+ (* 1/6 (pow x 2)) (+ (/ (* x (+ 1/2 (* -1/2 x))) eps) (/ (* x (- (* 1/2 x) 1)) (pow eps 2)))))
(* (pow eps 3) (+ (* 1/6 (pow x 2)) (+ (/ (* x (+ 1/2 (* -1/2 x))) eps) (+ (/ (* x (+ 1/2 (* -1/6 x))) (pow eps 3)) (/ (* x (- (* 1/2 x) 1)) (pow eps 2))))))
(* 1/6 (* (pow eps 3) (pow x 2)))
(* -1 (* (pow eps 3) (+ (* -1 (/ (* x (+ 1/2 (* -1/2 x))) eps)) (* -1/6 (pow x 2)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (* x (+ 1 (* -1/2 x))) eps)) (* x (+ 1/2 (* -1/2 x)))) eps)) (* -1/6 (pow x 2)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (+ 1/2 (* -1/6 x))) eps)) (* x (+ 1 (* -1/2 x)))) eps)) (* x (+ 1/2 (* -1/2 x)))) eps)) (* -1/6 (pow x 2)))))
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 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (+.f64 #s(literal 1/2 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) #s(literal -1/2 binary64))))
(+ 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 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 eps eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (+.f64 #s(literal 1/2 binary64) eps) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)))))))) (-.f64 (+.f64 #s(literal 1/2 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))) #s(literal -1/2 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) (neg.f64 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) (neg.f64 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) (neg.f64 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) (neg.f64 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) (neg.f64 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) (neg.f64 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) (neg.f64 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) (neg.f64 eps))))))
(* 1/2 (+ 1 (/ 1 (exp x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(+ (* 1/2 (* eps (- x (/ x (exp x))))) (* 1/2 (+ 1 (/ 1 (exp x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps (-.f64 x (/.f64 x (exp.f64 x)))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (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) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 x)))) (-.f64 x (/.f64 x (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) (/.f64 #s(literal 1 binary64) (exp.f64 x)))) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 x (/.f64 x (exp.f64 x)))) (*.f64 eps (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 x))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (exp.f64 x)) #s(literal -1/3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (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) (neg.f64 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) (neg.f64 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) (neg.f64 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) (neg.f64 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) (neg.f64 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) (neg.f64 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) (neg.f64 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) (neg.f64 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 (*.f64 (-.f64 (+.f64 #s(literal 1/2 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))))
(+ 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 (*.f64 x (-.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (-.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 eps eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (+.f64 #s(literal 1/2 binary64) eps) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))))))) (-.f64 #s(literal 0 binary64) x)) (-.f64 (+.f64 #s(literal 1/2 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) #s(literal -1 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) (neg.f64 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) (neg.f64 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) (neg.f64 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) (neg.f64 eps)))))
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(* (pow eps 2) (- (+ (* 1/12 (pow x 3)) (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x))))) (* (pow x 2) (+ (* -1/2 (+ 1/2 (* -1/2 x))) (* -1/12 x)))))
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(* (pow eps 2) (- (+ (* -1 (/ (- (+ (* -1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* 1/2 (* x (- (* x (+ 1 (* -1/2 x))) 1)))) (+ (* -1/2 x) (* (pow x 2) (+ (* -1/2 (+ 1/2 (* -1/2 x))) (* -1/2 (- (* 1/2 x) 1)))))) eps)) (+ (* 1/12 (pow x 3)) (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))))) (* (pow x 2) (+ (* -1/2 (+ 1/2 (* -1/2 x))) (* -1/12 x)))))
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(* (pow eps 2) (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (* x (- (* x (+ 1 (* -1/2 x))) 1))) (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))) (+ (* -1/2 x) (+ (* -1/2 (+ 1 (* -1 x))) (* (pow x 2) (+ (* -1/2 (+ 1/2 (* -1/6 x))) (* -1/2 (- (* 1/2 x) 1))))))) eps)) (+ (* -1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* 1/2 (* x (- (* x (+ 1 (* -1/2 x))) 1))))) (+ (* -1/2 x) (* (pow x 2) (+ (* -1/2 (+ 1/2 (* -1/2 x))) (* -1/2 (- (* 1/2 x) 1)))))) eps)) (+ (* 1/12 (pow x 3)) (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))))) (* (pow x 2) (+ (* -1/2 (+ 1/2 (* -1/2 x))) (* -1/12 x)))))
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(* (pow x 3) (+ (* -1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)) x))))
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(* (pow x 3) (+ (* -1 (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (pow x 2))) (+ (* -1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)) x)))))
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(* (pow x 3) (- (+ (* -1 (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (pow x 2))) (+ (* -1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))) (+ (* 1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)) x)) (/ 1/2 (* eps (pow x 3)))))) (* 1/2 (/ 1 (pow x 3)))))
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(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 eps)) 1/2) x)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)))) x)) (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))))
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(/ (+ (* 1/2 (* (pow x 2) (+ 1/2 (* -1/6 x)))) (+ (* 1/2 (+ 1 (* -1 x))) (* eps (+ (* -1/2 x) (+ (* -1/2 (+ 1 (* -1 x))) (+ (* eps (+ (* 1/2 x) (* (pow x 2) (+ (* -1/2 (+ 1 (* -1/2 x))) (* 1/2 (+ 1/2 (* -1/2 x))))))) (* (pow x 2) (+ (* -1/2 (+ 1/2 (* -1/6 x))) (* 1/2 (+ 1 (* -1/2 x))))))))))) eps)
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(/ (+ (* 1/2 (* (pow x 2) (+ 1/2 (* -1/6 x)))) (+ (* 1/2 (+ 1 (* -1 x))) (* eps (+ (* -1/2 x) (+ (* -1/2 (+ 1 (* -1 x))) (+ (* eps (+ (* 1/2 x) (+ (* eps (* (pow x 2) (+ (* -1/2 (+ 1/2 (* -1/2 x))) (* -1/12 x)))) (* (pow x 2) (+ (* -1/2 (+ 1 (* -1/2 x))) (* 1/2 (+ 1/2 (* -1/2 x)))))))) (* (pow x 2) (+ (* -1/2 (+ 1/2 (* -1/6 x))) (* 1/2 (+ 1 (* -1/2 x))))))))))) eps)
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(* 1/12 (* (pow eps 3) (pow x 3)))
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(* (pow eps 3) (+ (* 1/12 (pow x 3)) (+ (* 1/2 (/ x (pow eps 2))) (+ (/ (* (pow x 2) (+ (* -1/2 (+ 1/2 (* -1/2 x))) (* -1/12 x))) eps) (/ (* (pow x 2) (+ (* -1/2 (+ 1 (* -1/2 x))) (* 1/2 (+ 1/2 (* -1/2 x))))) (pow eps 2))))))
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(* 1/12 (* (pow eps 3) (pow x 3)))
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(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x x))
(* (pow eps 3) (+ (* 1/6 (pow x 2)) (/ (* x (+ 1/2 (* -1/2 x))) eps)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) eps)))
(* (pow eps 3) (+ (* 1/6 (pow x 2)) (+ (/ (* x (+ 1/2 (* -1/2 x))) eps) (/ (* x (- (* 1/2 x) 1)) (pow eps 2)))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 x (+.f64 (/.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 eps eps)) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64)) eps)))))
(* (pow eps 3) (+ (* 1/6 (pow x 2)) (+ (/ (* x (+ 1/2 (* -1/2 x))) eps) (+ (/ (* x (+ 1/2 (* -1/6 x))) (pow eps 3)) (/ (* x (- (* 1/2 x) 1)) (pow eps 2))))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) eps)) (*.f64 x (+.f64 (/.f64 (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 eps eps)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) (*.f64 eps (*.f64 eps eps)))))))
(* 1/6 (* (pow eps 3) (pow x 2)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x x))
(* -1 (* (pow eps 3) (+ (* -1 (/ (* x (+ 1/2 (* -1/2 x))) eps)) (* -1/6 (pow x 2)))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (* x (+ 1 (* -1/2 x))) eps)) (* x (+ 1/2 (* -1/2 x)))) eps)) (* -1/6 (pow x 2)))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (/.f64 (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))) eps)) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (+ 1/2 (* -1/6 x))) eps)) (* x (+ 1 (* -1/2 x)))) eps)) (* x (+ 1/2 (* -1/2 x)))) eps)) (* -1/6 (pow x 2)))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (/.f64 (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) eps)) eps)) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps))))

eval171.0ms (1.2%)

Compiler

Compiled 60678 to 3120 computations (94.9% saved)

prune162.0ms (1.1%)

Pruning

45 alts after pruning (42 fresh and 3 done)

PrunedKeptTotal
New1043161059
Fresh72633
Picked505
Done134
Total1056451101
Accuracy
100.0%
Counts
1101 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.0%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
62.6%
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
61.8%
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
24.9%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (*.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))))
30.3%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 (*.f64 x #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 (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))))
28.9%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
23.9%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.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) eps) (+.f64 #s(literal 1 binary64) eps)))))))
18.6%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps)) #s(literal -1/4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
22.3%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
50.3%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
61.1%
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))))
44.6%
(+.f64 x #s(literal 1 binary64))
44.8%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
72.1%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (+.f64 #s(literal 1/2 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) #s(literal -1/2 binary64))))
52.4%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
58.2%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) x) (+.f64 #s(literal 1 binary64) eps)) (*.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 binary64) eps) #s(literal 1/4 binary64)))))))))
50.4%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) eps))))
51.7%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))
44.8%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
12.7%
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (neg.f64 eps) #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))) (-.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 (+.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 0 binary64) x)) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))
44.7%
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
51.6%
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))))
9.6%
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64))))
9.2%
(*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
7.7%
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/4 binary64) x))) eps))
19.3%
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/12 binary64) (+.f64 (*.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal -1/4 binary64) x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1/4 binary64) x)))) eps))
16.8%
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1/4 binary64) x)) eps)) #s(literal -1/6 binary64)) eps)))))
27.1%
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) eps) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal -1/2 binary64) eps) #s(literal 1/2 binary64))) x)))
16.8%
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 eps eps) (+.f64 (*.f64 eps #s(literal -1/12 binary64)) #s(literal -1/6 binary64)))))) eps)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal -1/2 binary64) eps) #s(literal 1/2 binary64))) x)))
19.8%
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps eps)) eps))
17.5%
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/6 binary64)) eps))))
18.8%
(*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64))))
2.3%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))
2.3%
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
56.7%
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 1/6 binary64) x))))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
62.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
82.3%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))))
58.3%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64)))))))))))
62.3%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
64.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64)))) #s(literal 2 binary64))))
✓64.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
✓6.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
72.8%
(exp.f64 (-.f64 #s(literal 0 binary64) x))
2.9%
x
✓45.6%
#s(literal 1 binary64)
Compiler

Compiled 3774 to 1180 computations (68.7% saved)

regimes145.0ms (1%)

Counts
86 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) eps))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(+.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 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps eps)) eps))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))) #s(literal -1/2 binary64))))
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(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
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(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 1/6 binary64) x))))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64)))))))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal -1 binary64))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (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 (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (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 #s(literal 1 binary64) (pow.f64 (exp.f64 (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64)))) #s(literal 2 binary64))))
(*.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 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.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 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (*.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))) (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))))
Outputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))))
Calls

4 calls:

30.0ms
eps
24.0ms
x
24.0ms
(/.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))
23.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
98.0%1x
100.0%2eps
98.0%1(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
98.0%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)

regimes46.0ms (0.3%)

Counts
77 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) eps))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(+.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 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps eps)) eps))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))) #s(literal -1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/4 binary64) x))) eps))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/6 binary64)) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (+.f64 #s(literal 1/2 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) eps)) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/4 binary64)))))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64)) (/.f64 (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x #s(literal -1/12 binary64)))) eps)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) eps) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal -1/2 binary64) eps) #s(literal 1/2 binary64))) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (+.f64 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))))))
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(-.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 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Outputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Calls

1 calls:

24.0ms
eps
Results
AccuracySegmentsBranch
100.0%2eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes71.0ms (0.5%)

Counts
76 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) eps))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(+.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 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps eps)) eps))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))) #s(literal -1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/4 binary64) x))) eps))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/6 binary64)) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (+.f64 #s(literal 1/2 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) eps)) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/4 binary64)))))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64)) (/.f64 (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x #s(literal -1/12 binary64)))) eps)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) eps) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal -1/2 binary64) eps) #s(literal 1/2 binary64))) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (+.f64 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))))))
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1/4 binary64) x)) eps)) #s(literal -1/6 binary64)) eps)))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps)) #s(literal -1/4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) x) (+.f64 #s(literal 1 binary64) eps)) (*.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 binary64) eps) #s(literal 1/4 binary64)))))))))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/12 binary64) (+.f64 (*.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal -1/4 binary64) x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1/4 binary64) x)))) eps))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal -1/2 binary64) eps) #s(literal 1/2 binary64))) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (+.f64 (/.f64 #s(literal -1/2 binary64) eps) #s(literal 1/2 binary64)))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))))))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 eps eps) (+.f64 (*.f64 eps #s(literal -1/12 binary64)) #s(literal -1/6 binary64)))))) eps)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal -1/2 binary64) eps) #s(literal 1/2 binary64))) x)))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (+.f64 (/.f64 #s(literal -1/2 binary64) eps) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal -1/2 binary64) eps) #s(literal 1/2 binary64))) x)))
(-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) (neg.f64 (*.f64 eps eps))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64)) (/.f64 (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x #s(literal -1/12 binary64)))) eps))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 (*.f64 eps (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 eps eps)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (+.f64 (/.f64 #s(literal -1/2 binary64) eps) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal -1/2 binary64) eps) #s(literal 1/2 binary64))) x)))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.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) eps) (+.f64 #s(literal 1 binary64) eps)))))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 (*.f64 x #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 (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))))))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (*.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (neg.f64 eps) #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))) (-.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 (+.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 0 binary64) x)) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 1/6 binary64) x))))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64))) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/6 binary64)))))))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal -1 binary64))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (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 (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))))
Outputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
Calls

2 calls:

27.0ms
eps
24.0ms
x
Results
AccuracySegmentsBranch
88.1%3x
94.1%2eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes41.0ms (0.3%)

Counts
70 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) eps))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(+.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 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps eps)) eps))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))) #s(literal -1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/4 binary64) x))) eps))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/6 binary64)) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (+.f64 #s(literal 1/2 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) eps)) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/4 binary64)))))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64)) (/.f64 (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x #s(literal -1/12 binary64)))) eps)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) eps) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal -1/2 binary64) eps) #s(literal 1/2 binary64))) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (+.f64 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))))))
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 #s(literal 1/12 binary64) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1/4 binary64) x)) eps)) #s(literal -1/6 binary64)) eps)))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps)) #s(literal -1/4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/12 binary64) x) (+.f64 #s(literal 1 binary64) eps)) (*.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 binary64) eps) #s(literal 1/4 binary64)))))))))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/12 binary64) (+.f64 (*.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 eps (+.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (/.f64 #s(literal -1/4 binary64) x)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal -1/4 binary64) x)))) eps))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal -1/2 binary64) eps) #s(literal 1/2 binary64))) x) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (+.f64 (/.f64 #s(literal -1/2 binary64) eps) #s(literal 1/2 binary64)))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
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(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 eps eps) (+.f64 (*.f64 eps #s(literal -1/12 binary64)) #s(literal -1/6 binary64)))))) eps)) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal -1/2 binary64) eps) #s(literal 1/2 binary64))) x)))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (+.f64 (/.f64 #s(literal -1/2 binary64) eps) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal -1/2 binary64) eps) #s(literal 1/2 binary64))) x)))
(-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))) (neg.f64 (*.f64 eps eps))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64)) (/.f64 (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal -1/4 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x #s(literal -1/12 binary64)))) eps))))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 (*.f64 eps (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 eps eps)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (+.f64 (/.f64 #s(literal -1/2 binary64) eps) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal -1/2 binary64) eps) #s(literal 1/2 binary64))) x)))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.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) eps) (+.f64 #s(literal 1 binary64) eps)))))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 (*.f64 x #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 (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal -1 binary64) eps)))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))))))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (*.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (neg.f64 eps) #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))) (-.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 (+.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 0 binary64) x)) (*.f64 #s(literal -1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 1/6 binary64) x))))))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Outputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (+.f64 #s(literal 1/2 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) #s(literal -1/2 binary64))))
Calls

1 calls:

22.0ms
eps
Results
AccuracySegmentsBranch
90.4%2eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes34.0ms (0.2%)

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

1 calls:

18.0ms
eps
Results
AccuracySegmentsBranch
88.9%2eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes23.0ms (0.2%)

Counts
57 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) eps))))
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(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (*.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))) (*.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 1/2 binary64))))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 x x) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))))
Outputs
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (+.f64 #s(literal 1/2 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) #s(literal -1/2 binary64))))
Calls

1 calls:

16.0ms
eps
Results
AccuracySegmentsBranch
88.8%2eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes22.0ms (0.2%)

Counts
29 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) eps))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(+.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 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps eps)) eps))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))) #s(literal -1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/4 binary64) x))) eps))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/6 binary64)) eps))))
Outputs
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/6 binary64)) eps))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))))
Calls

2 calls:

10.0ms
x
9.0ms
eps
Results
AccuracySegmentsBranch
72.8%2x
74.4%4eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts
28 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) eps))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(+.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 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps eps)) eps))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))) #s(literal -1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1/4 binary64) x))) eps))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/6 binary64))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
Outputs
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
72.8%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes17.0ms (0.1%)

Counts
23 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) eps))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(+.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 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64))))
(*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps eps)) eps))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/8 binary64)))) #s(literal -1/2 binary64))))
Outputs
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))
Calls

2 calls:

8.0ms
x
7.0ms
eps
Results
AccuracySegmentsBranch
56.6%2eps
63.4%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes34.0ms (0.2%)

Counts
16 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) eps))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(+.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 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))
Calls

1 calls:

32.0ms
x
Results
AccuracySegmentsBranch
60.1%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

Counts
14 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) eps))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))
Outputs
(*.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 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
58.4%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts
13 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
x
(+.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) eps))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x)))))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x x))))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) eps))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
Calls

2 calls:

5.0ms
eps
5.0ms
x
Results
AccuracySegmentsBranch
52.1%2eps
55.7%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
55.0%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

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

2 calls:

6.0ms
x
3.0ms
eps
Results
AccuracySegmentsBranch
45.6%1eps
49.6%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Accuracy

Total -27.4b remaining (-78.8%)

Threshold costs -27.4b (-78.8%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
45.6%1x
Compiler

Compiled 3 to 2 computations (33.3% saved)

bsearch44.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
39.0ms
1.5090953668135497e-15
2.390423229518389e-12
Results
26.0ms88×1valid
5.0ms40×0valid
3.0ms23×0unsamplable
Compiler

Compiled 236 to 159 computations (32.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 7.0ms (27% of total)
ival-sub: 6.0ms (23.1% of total)
ival-div: 4.0ms (15.4% of total)
ival-exp: 3.0ms (11.6% of total)
ival-add: 2.0ms (7.7% of total)
backward-pass: 2.0ms (7.7% of total)
ival-neg: 2.0ms (7.7% of total)
const: 0.0ms (0% of total)

bsearch65.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
60.0ms
1.5090953668135497e-15
2.390423229518389e-12
Results
34.0ms92×1valid
6.0ms36×0valid
3.0ms21×0unsamplable
Compiler

Compiled 236 to 175 computations (25.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 18.0ms (51.4% of total)
ival-div: 4.0ms (11.4% of total)
ival-sub: 4.0ms (11.4% of total)
ival-exp: 3.0ms (8.6% of total)
ival-add: 2.0ms (5.7% of total)
backward-pass: 2.0ms (5.7% of total)
ival-neg: 2.0ms (5.7% of total)
const: 0.0ms (0% of total)

bsearch44.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
39.0ms
1.5090953668135497e-15
2.390423229518389e-12
Results
26.0ms92×1valid
4.0ms36×0valid
2.0ms15×0unsamplable
Compiler

Compiled 420 to 271 computations (35.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 6.0ms (24% of total)
ival-sub: 5.0ms (20% of total)
ival-div: 4.0ms (16% of total)
ival-exp: 3.0ms (12% of total)
ival-add: 2.0ms (8% of total)
backward-pass: 2.0ms (8% of total)
ival-neg: 2.0ms (8% of total)
const: 0.0ms (0% of total)

bsearch49.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
43.0ms
1.5090953668135497e-15
2.390423229518389e-12
Results
30.0ms89×1valid
5.0ms39×0valid
3.0ms28×0unsamplable
Compiler

Compiled 300 to 199 computations (33.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 11.0ms (35.8% of total)
ival-add: 5.0ms (16.3% of total)
ival-div: 4.0ms (13% of total)
ival-sub: 4.0ms (13% of total)
ival-exp: 3.0ms (9.8% of total)
backward-pass: 2.0ms (6.5% of total)
ival-neg: 2.0ms (6.5% of total)
const: 0.0ms (0% of total)

bsearch28.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
22.0ms
7.376336492081341e+32
2.2991342338717754e+36
Results
18.0ms128×0valid
Compiler

Compiled 284 to 191 computations (32.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sub: 4.0ms (28.8% of total)
ival-mult: 3.0ms (21.6% of total)
ival-div: 2.0ms (14.4% of total)
ival-exp: 2.0ms (14.4% of total)
ival-add: 1.0ms (7.2% of total)
ival-neg: 1.0ms (7.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch47.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
42.0ms
1.5090953668135497e-15
2.390423229518389e-12
Results
31.0ms86×1valid
5.0ms42×0valid
1.0ms10×0unsamplable
Compiler

Compiled 372 to 215 computations (42.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-div: 7.0ms (27.2% of total)
ival-mult: 6.0ms (23.3% of total)
ival-exp: 3.0ms (11.6% of total)
ival-sub: 3.0ms (11.6% of total)
ival-add: 2.0ms (7.8% of total)
backward-pass: 2.0ms (7.8% of total)
ival-neg: 2.0ms (7.8% of total)
const: 0.0ms (0% of total)

bsearch24.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
21.0ms
-4.1804668457348775e-11
-2.342934231477657e-11
Results
10.0ms18×2valid
5.0ms17×1valid
3.0ms29×0valid
Compiler

Compiled 204 to 123 computations (39.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-exp: 5.0ms (33% of total)
ival-mult: 3.0ms (19.8% of total)
ival-div: 2.0ms (13.2% of total)
ival-sub: 2.0ms (13.2% of total)
backward-pass: 1.0ms (6.6% of total)
ival-neg: 1.0ms (6.6% of total)
ival-add: 1.0ms (6.6% of total)
const: 0.0ms (0% of total)

bsearch20.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
-4.1804668457348775e-11
-2.342934231477657e-11
Results
7.0ms12×2valid
5.0ms37×0valid
4.0ms15×1valid
Compiler

Compiled 172 to 99 computations (42.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 4.0ms (32% of total)
ival-div: 2.0ms (16% of total)
ival-exp: 2.0ms (16% of total)
ival-sub: 2.0ms (16% of total)
backward-pass: 1.0ms (8% of total)
ival-neg: 1.0ms (8% of total)
ival-add: 1.0ms (8% of total)
const: 0.0ms (0% of total)

bsearch48.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
43.0ms
-114238833407605.28
-93710312.88240293
Results
14.0ms98×0valid
9.0ms31×1valid
8.0ms15×2valid
5.0ms31×0unsamplable
Compiler

Compiled 306 to 212 computations (30.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-exp: 6.0ms (20.7% of total)
ival-mult: 6.0ms (20.7% of total)
ival-div: 5.0ms (17.2% of total)
ival-sub: 4.0ms (13.8% of total)
ival-neg: 4.0ms (13.8% of total)
ival-add: 2.0ms (6.9% of total)
backward-pass: 1.0ms (3.4% of total)
const: 0.0ms (0% of total)

bsearch55.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
50.0ms
-114238833407605.28
-93710312.88240293
Results
17.0ms63×0unsamplable
14.0ms114×0valid
6.0ms11×2valid
6.0ms19×1valid
Compiler

Compiled 288 to 212 computations (26.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-div: 13.0ms (37.2% of total)
ival-mult: 7.0ms (20% of total)
ival-exp: 5.0ms (14.3% of total)
ival-sub: 4.0ms (11.5% of total)
ival-add: 3.0ms (8.6% of total)
ival-neg: 2.0ms (5.7% of total)
backward-pass: 1.0ms (2.9% of total)
const: 0.0ms (0% of total)

bsearch66.0ms (0.5%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
57.0ms
-93710312.88240293
-6.096753611223796
Results
27.0ms34×2valid
15.0ms36×1valid
9.0ms74×0valid
Compiler

Compiled 288 to 221 computations (23.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-exp: 21.0ms (48.4% of total)
ival-mult: 7.0ms (16.1% of total)
ival-div: 4.0ms (9.2% of total)
ival-sub: 4.0ms (9.2% of total)
ival-add: 3.0ms (6.9% of total)
backward-pass: 2.0ms (4.6% of total)
ival-neg: 2.0ms (4.6% of total)
const: 0.0ms (0% of total)

bsearch45.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
39.0ms
-1.5687582395046358e-37
-1.22838131487533e-41
Results
14.0ms30×2valid
9.0ms71×0valid
7.0ms27×1valid
Compiler

Compiled 228 to 159 computations (30.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 6.0ms (25.4% of total)
ival-exp: 5.0ms (21.2% of total)
ival-div: 3.0ms (12.7% of total)
ival-sub: 3.0ms (12.7% of total)
backward-pass: 2.0ms (8.5% of total)
ival-neg: 2.0ms (8.5% of total)
ival-add: 2.0ms (8.5% 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
5.4560413059354454e-8
0.022361911168533633
Results
15.0ms25×2valid
11.0ms86×0valid
10.0ms33×1valid
Compiler

Compiled 216 to 158 computations (26.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-exp: 7.0ms (24.5% of total)
ival-div: 6.0ms (21% of total)
ival-mult: 6.0ms (21% of total)
ival-sub: 3.0ms (10.5% of total)
ival-neg: 2.0ms (7% of total)
backward-pass: 2.0ms (7% of total)
ival-add: 2.0ms (7% of total)
const: 0.0ms (0% of total)

bsearch21.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
10.689432147527251
15.005905768016346
Results
8.0ms12×2valid
5.0ms39×0valid
4.0ms13×1valid
Compiler

Compiled 84 to 63 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-exp: 3.0ms (25.9% of total)
ival-mult: 3.0ms (25.9% of total)
ival-div: 2.0ms (17.2% of total)
ival-sub: 2.0ms (17.2% of total)
backward-pass: 1.0ms (8.6% of total)
ival-neg: 1.0ms (8.6% of total)
ival-add: 1.0ms (8.6% of total)
const: 0.0ms (0% of total)

simplify23.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
90×*-commutative_binary64
78×+-commutative_binary64
40×sub-neg_binary64
30×neg-mul-1_binary64
28×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0119394
1193394
2228394
3254394
4277394
5287394
6296394
7299394
8300394
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 eps #s(literal 5818318184641287/2475880078570760549798248448 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 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 5818318184641287/2475880078570760549798248448 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(if (<=.f64 eps #s(literal 5818318184641287/2475880078570760549798248448 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
(if (<=.f64 eps #s(literal 5818318184641287/2475880078570760549798248448 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (+.f64 #s(literal 1/2 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) #s(literal -1/2 binary64)))))
(if (<=.f64 eps #s(literal 749999999999999959181423240282112 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (+.f64 #s(literal 1/2 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) #s(literal -1/2 binary64)))))
(if (<=.f64 eps #s(literal 5694524180712749/2475880078570760549798248448 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (+.f64 #s(literal 1/2 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -6189700196426901/154742504910672534362390528 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/6 binary64)) eps)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 x #s(literal -4951760157141521/154742504910672534362390528 binary64)) (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 x #s(literal -95000000 binary64)) (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))))
(if (<=.f64 x #s(literal -520000000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))))
(if (<=.f64 x #s(literal -63/2 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 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))))
(if (<=.f64 x #s(literal -68962299338965/3064991081731777716716694054300618367237478244367204352 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) eps)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 1261007895663739/72057594037927936 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))
(if (<=.f64 x #s(literal 7093169413108531/562949953421312 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))
#s(literal 1 binary64)
Outputs
(if (<=.f64 eps #s(literal 5818318184641287/2475880078570760549798248448 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 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 5818318184641287/2475880078570760549798248448 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 eps x)) (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 eps x))))))
(if (<=.f64 eps #s(literal 5818318184641287/2475880078570760549798248448 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(if (<=.f64 eps #s(literal 5818318184641287/2475880078570760549798248448 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 eps x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(if (<=.f64 eps #s(literal 5818318184641287/2475880078570760549798248448 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
(if (<=.f64 eps #s(literal 5818318184641287/2475880078570760549798248448 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal -1 binary64))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))
(if (<=.f64 eps #s(literal 5818318184641287/2475880078570760549798248448 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (+.f64 #s(literal 1/2 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) #s(literal -1/2 binary64)))))
(if (<=.f64 eps #s(literal 5818318184641287/2475880078570760549798248448 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 (+.f64 eps #s(literal 1/2 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) eps))))))))
(if (<=.f64 eps #s(literal 749999999999999959181423240282112 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (+.f64 #s(literal 1/2 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) #s(literal -1/2 binary64)))))
(if (<=.f64 eps #s(literal 749999999999999959181423240282112 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 (+.f64 eps #s(literal 1/2 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) eps))))))))
(if (<=.f64 eps #s(literal 5694524180712749/2475880078570760549798248448 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (+.f64 #s(literal 1/2 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) #s(literal -1/2 binary64)))))
(if (<=.f64 eps #s(literal 5694524180712749/2475880078570760549798248448 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 (+.f64 eps #s(literal 1/2 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) eps))))))))
(if (<=.f64 x #s(literal -6189700196426901/154742504910672534362390528 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/12 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/6 binary64)) eps)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 x #s(literal -4951760157141521/154742504910672534362390528 binary64)) (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 x #s(literal -4951760157141521/154742504910672534362390528 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -1/12 binary64))) (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 #s(literal 1 binary64) x)))))
(if (<=.f64 x #s(literal -95000000 binary64)) (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))))
(if (<=.f64 x #s(literal -95000000 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 eps eps)) #s(literal -1/12 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))))
(if (<=.f64 x #s(literal -520000000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))))
(if (<=.f64 x #s(literal -520000000 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/6 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))))
(if (<=.f64 x #s(literal -63/2 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 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))))
(if (<=.f64 x #s(literal -63/2 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))))
(if (<=.f64 x #s(literal -68962299338965/3064991081731777716716694054300618367237478244367204352 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) eps)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal -68962299338965/3064991081731777716716694054300618367237478244367204352 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/2 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)))
(if (<=.f64 x #s(literal 1261007895663739/72057594037927936 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))
(if (<=.f64 x #s(literal 1261007895663739/72057594037927936 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps x)))
(if (<=.f64 x #s(literal 7093169413108531/562949953421312 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))
(if (<=.f64 x #s(literal 7093169413108531/562949953421312 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps x)))
#s(literal 1 binary64)

soundness3.1s (21.5%)

Rules
6036×*-lowering-*.f32
6036×*-lowering-*.f64
5442×*-lowering-*.f32
5442×*-lowering-*.f64
5440×+-lowering-+.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
061380
1471354
25250354
08381354
02872189
19622025
236991787
086091787
09348061
134867635
089517635
044286
1331277
23610277
08362277
011219886
142149382
081389382
044272
1322263
23541262
08860262
01926
15826
216323
354323
4147922
5545022
0824822
06405395
122695089
085385089
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 1438 to 841 computations (41.5% saved)

preprocess94.0ms (0.6%)

Compiler

Compiled 906 to 306 computations (66.2% saved)

end0.0ms (0%)

Profiling

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