NMSE Section 6.1 mentioned, A

Time bar (total: 16.7s)

analyze66.0ms (0.4%)

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: 21.0ms
ival-mult: 6.0ms (28.3% of total)
ival-sub: 3.0ms (14.1% of total)
ival-div: 3.0ms (14.1% of total)
ival-add: 3.0ms (14.1% of total)
ival-exp: 3.0ms (14.1% of total)
ival-neg: 3.0ms (14.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample3.1s (18.6%)

Results
1.3s5976×0valid
658.0ms927×2valid
533.0ms1353×1valid
141.0ms958×0unsamplable
Precisions
Click to see histograms. Total time spent on operations: 1.7s
ival-mult: 409.0ms (23.5% of total)
ival-exp: 354.0ms (20.4% of total)
ival-div: 288.0ms (16.6% of total)
ival-sub: 227.0ms (13.1% of total)
ival-neg: 151.0ms (8.7% of total)
backward-pass: 146.0ms (8.4% of total)
ival-add: 141.0ms (8.1% of total)
const: 21.0ms (1.2% of total)
Bogosity

preprocess271.0ms (1.6%)

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)

explain572.0ms (3.4%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
822(-1.247941401860864e-163 0.000376438797008915)0-(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
00-0-x
00-0-(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
00-0-(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
00-0-#s(literal 2 binary64)
00-0-(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))
00-0-(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))
00-0-(-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64))
00-0-eps
00-0-(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
00-0-(/.f64 #s(literal 1 binary64) eps)
00-0-(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
00-0-(+.f64 #s(literal 1 binary64) eps)
00-0-(-.f64 #s(literal 1 binary64) eps)
00-0-(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))
00-0-#s(literal 1 binary64)
00-0-(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
00-0-(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
00-0-(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Results
277.0ms68×2valid
125.0ms348×0valid
64.0ms96×1valid
Compiler

Compiled 319 to 59 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 284.0ms
ival-exp: 211.0ms (74.3% of total)
ival-mult: 19.0ms (6.7% of total)
ival-div: 13.0ms (4.6% of total)
backward-pass: 13.0ms (4.6% of total)
ival-sub: 12.0ms (4.2% of total)
ival-add: 8.0ms (2.8% of total)
ival-neg: 7.0ms (2.5% of total)
const: 1.0ms (0.4% 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
▶69.0%
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
Compiler

Compiled 27 to 18 computations (33.3% saved)

simplify143.0ms (0.9%)

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)

localize181.0ms (1.1%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))
✓accuracy100.0%
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
✓accuracy100.0%
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
✓accuracy69.0%
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
Results
65.0ms35×2valid
51.0ms173×0valid
41.0ms48×1valid
Compiler

Compiled 101 to 19 computations (81.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 110.0ms
backward-pass: 37.0ms (33.6% of total)
ival-mult: 30.0ms (27.3% of total)
ival-div: 21.0ms (19.1% of total)
ival-exp: 11.0ms (10% of total)
ival-sub: 6.0ms (5.5% of total)
ival-add: 5.0ms (4.5% of total)
const: 1.0ms (0.9% of total)

series18.0ms (0.1%)

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

30 calls:

TimeVariablePointExpression
5.0ms
x
@0
(- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
3.0ms
eps
@0
(- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
1.0ms
x
@inf
(- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
1.0ms
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)))

rewrite400.0ms (2.4%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01852
112852
2110852
0852352
Stop Event
1×iter limit
1×node limit
Counts
5 → 229
Calls
Call 1
Inputs
(- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps)))
(exp (* x (+ eps -1)))
(* x (+ eps -1))
(* x (- -1 eps))
Outputs
(+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))
(+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))
(+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (neg.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))))
(+.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))
(+.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (+.f64 (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))
(+.f64 (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))
(+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))) (neg.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))))))
(+.f64 (/.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (neg.f64 (/.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))))
(+.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 eps #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (-.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))
(-.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))) (/.f64 (*.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))))
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simplify239.0ms (1.4%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
02561879
18431674
231531544
089831544
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
Calls
Call 1
Inputs
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))))
(* 1/2 (/ (exp (* -1 x)) eps))
(/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* 1/2 (exp (* -1 x))) (* 1/2 (* x (exp (* -1 x))))))) eps)
(/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (* x (exp (* -1 x)))))))))) eps)
(/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (* 1/4 (* (pow x 2) (exp (* -1 x))))))))))))) eps)
(* 1/2 (exp (* x (- eps 1))))
(+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps)))
(+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps)))
(+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps)))
(* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))
(+ (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps)))
(+ (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps)))
(+ (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps)))
1
(+ 1 (* x (- eps 1)))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* -1 x))
(+ (exp (* -1 x)) (* eps (* x (exp (* -1 x)))))
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))
(+ (exp (* -1 x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x))))))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* -1 x)
(+ (* -1 x) (* eps x))
(+ (* -1 x) (* eps x))
(+ (* -1 x) (* eps x))
(* eps x)
(* eps (+ x (* -1 (/ x eps))))
(* eps (+ x (* -1 (/ x eps))))
(* eps (+ x (* -1 (/ x eps))))
(* eps x)
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 x)
(+ (* -1 x) (* -1 (* eps x)))
(+ (* -1 x) (* -1 (* eps x)))
(+ (* -1 x) (* -1 (* eps x)))
(* -1 (* eps x))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* -1 (* eps x))
(* -1 (* eps (+ x (/ x eps))))
(* -1 (* eps (+ x (/ x eps))))
(* -1 (* eps (+ x (/ x eps))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* x (- (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
(+ 1 (* x (- (+ (* x (- (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.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 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))
(+ 1 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.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 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(- (+ (* 1/2 (exp (* -1 x))) (* 1/2 (* x (exp (* -1 x))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x))))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(- (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (* 1/4 (* (pow x 2) (exp (* -1 x))))) (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (*.f64 eps (*.f64 eps (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))))))))
(- (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/240 (* (pow x 5) (exp (* -1 x)))) (* 1/48 (* (pow x 4) (exp (* -1 x))))) (+ (* -1/48 (* (pow x 4) (exp (* -1 x)))) (* -1/240 (* (pow x 5) (exp (* -1 x))))))))) (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (*.f64 eps (*.f64 eps (+.f64 (+.f64 (*.f64 (*.f64 eps eps) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/48 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/240 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/48 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/240 binary64)))))) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))))))))
(- (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/240 (* (pow x 5) (exp (* -1 x)))) (+ (* 1/48 (* (pow x 4) (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/10080 (* (pow x 7) (exp (* -1 x)))) (* 1/1440 (* (pow x 6) (exp (* -1 x))))) (+ (* -1/1440 (* (pow x 6) (exp (* -1 x)))) (* -1/10080 (* (pow x 7) (exp (* -1 x))))))))) (+ (* -1/48 (* (pow x 4) (exp (* -1 x)))) (* -1/240 (* (pow x 5) (exp (* -1 x))))))))) (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (*.f64 (*.f64 eps eps) (+.f64 (+.f64 (*.f64 eps (*.f64 eps (+.f64 (+.f64 (*.f64 (*.f64 eps eps) (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 #s(literal 1/10080 binary64) (pow.f64 x #s(literal 7 binary64))) (*.f64 #s(literal 1/1440 binary64) (pow.f64 x #s(literal 6 binary64))))) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 #s(literal 1/10080 binary64) (pow.f64 x #s(literal 7 binary64))) (*.f64 #s(literal 1/1440 binary64) (pow.f64 x #s(literal 6 binary64))))))) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/48 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/240 binary64))))) (*.f64 (/.f64 #s(literal -1 binary64) (exp.f64 x)) (+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/48 binary64)) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/240 binary64))))))) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))))))
(- (* 1/2 (exp (* x (- eps 1)))) (* -1/2 (exp (* -1 (* x (+ 1 eps))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(- (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps))) (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps))))
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal -1/2 binary64) eps))))
(- (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps))) (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps))))
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal -1/2 binary64) eps))))
(- (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps))) (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps))))
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal -1/2 binary64) eps))))
(- (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(- (+ (* -1 (/ (- (* -1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) eps)) (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) eps))
(- (+ (* -1 (/ (- (* -1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) eps)) (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))
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1
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eval79.0ms (0.5%)

Compiler

Compiled 19520 to 1152 computations (94.1% saved)

prune52.0ms (0.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New3409349
Fresh000
Picked101
Done000
Total3419350
Accuracy
100.0%
Counts
350 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶36.7%
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
▶48.4%
(-.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.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))))
21.8%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal 1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
35.5%
(-.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))))
73.6%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.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 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))
▶44.1%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.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 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))))
63.7%
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
▶98.9%
(*.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)))))
▶46.6%
#s(literal 1 binary64)
Compiler

Compiled 676 to 332 computations (50.9% saved)

simplify273.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 eps #s(literal -1 binary64)))))))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 eps #s(literal -1 binary64))))))))
✓cost-diff0
(-.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 eps #s(literal -1 binary64)))))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
✓cost-diff512
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 eps #s(literal -1 binary64)))))
✓cost-diff0
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) eps)
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
✓cost-diff0
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
✓cost-diff0
(+.f64 (*.f64 (+.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))))
✓cost-diff0
(+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.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 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))
✓cost-diff0
(*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.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 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.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 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))))
✓cost-diff0
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
✓cost-diff0
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
✓cost-diff0
(+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Rules
2896×+-lowering-+.f64
2896×+-lowering-+.f32
2866×*-lowering-*.f32
2866×*-lowering-*.f64
1480×sum5-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0501023
1216971
21161917
37924917
08044917
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* 1/2 (+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps)))))
1/2
(+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps))))
(exp (* x (+ eps -1)))
(* x (+ eps -1))
x
(+ eps -1)
eps
-1
(exp (* x (- -1 eps)))
(* x (- -1 eps))
(- -1 eps)
1
(+ 1 (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* x (+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))))))
1
(* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* x (+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))))))
x
(+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* x (+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))))
(+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))
(* (+ 1/2 (/ 1/2 eps)) (+ eps -1))
(+ 1/2 (/ 1/2 eps))
1/2
(/ 1/2 eps)
eps
(+ eps -1)
-1
(* (+ 1 eps) (+ (/ 1/2 eps) -1/2))
(+ 1 eps)
(+ (/ 1/2 eps) -1/2)
-1/2
(* x (+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))))
(+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))
(* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))))
(* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))
1/6
(+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))
(* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1))))
(* (+ eps -1) (* (+ eps -1) (+ eps -1)))
(* (+ eps -1) (+ eps -1))
(* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))
(* (+ 1 eps) (+ 1 eps))
(* 1/2 (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))
(+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))
(* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)))
(* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))
(* (- -1 eps) (+ (/ 1/2 eps) -1/2))
(- -1 eps)
(- (+ 1/2 (/ 1/2 eps)) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(+ 1/2 (/ 1/2 eps))
1/2
(/ 1/2 eps)
eps
(* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))
(exp (* x (- -1 eps)))
(* x (- -1 eps))
x
(- -1 eps)
-1
(+ (/ 1/2 eps) -1/2)
-1/2
(- (+ 1/2 (+ (/ 1/2 eps) (* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* 1/2 (* (* (+ 1/2 (/ 1/2 eps)) (* x (+ eps -1))) (+ eps -1))))))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(+ 1/2 (+ (/ 1/2 eps) (* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* 1/2 (* (* (+ 1/2 (/ 1/2 eps)) (* x (+ eps -1))) (+ eps -1)))))))
1/2
(+ (/ 1/2 eps) (* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* 1/2 (* (* (+ 1/2 (/ 1/2 eps)) (* x (+ eps -1))) (+ eps -1))))))
(/ 1/2 eps)
eps
(* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* 1/2 (* (* (+ 1/2 (/ 1/2 eps)) (* x (+ eps -1))) (+ eps -1)))))
x
(+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* 1/2 (* (* (+ 1/2 (/ 1/2 eps)) (* x (+ eps -1))) (+ eps -1))))
(* (+ 1/2 (/ 1/2 eps)) (+ eps -1))
(+ 1/2 (/ 1/2 eps))
(+ eps -1)
-1
(* 1/2 (* (* (+ 1/2 (/ 1/2 eps)) (* x (+ eps -1))) (+ eps -1)))
(* (* (+ 1/2 (/ 1/2 eps)) (* x (+ eps -1))) (+ eps -1))
(* (+ 1/2 (/ 1/2 eps)) (* x (+ eps -1)))
(* x (+ eps -1))
(* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))
(exp (* x (- -1 eps)))
(* x (- -1 eps))
(- -1 eps)
(+ (/ 1/2 eps) -1/2)
-1/2
Outputs
(* 1/2 (+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
1/2
#s(literal 1/2 binary64)
(+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps))))
(+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(exp (* x (+ eps -1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(* x (+ eps -1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
x
(+ eps -1)
(+.f64 eps #s(literal -1 binary64))
eps
-1
#s(literal -1 binary64)
(exp (* x (- -1 eps)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(* x (- -1 eps))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
1
#s(literal 1 binary64)
(+ 1 (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* x (+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #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 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) (*.f64 x #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))))
1
#s(literal 1 binary64)
(* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* x (+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))))))
(*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #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 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) (*.f64 x #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))))))
x
(+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* x (+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))))
(+.f64 (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #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 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) (*.f64 x #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))
(+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))
(+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(* (+ 1/2 (/ 1/2 eps)) (+ eps -1))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(+ 1/2 (/ 1/2 eps))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
1/2
#s(literal 1/2 binary64)
(/ 1/2 eps)
(/.f64 #s(literal 1/2 binary64) eps)
eps
(+ eps -1)
(+.f64 eps #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(* (+ 1 eps) (+ (/ 1/2 eps) -1/2))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(+ 1 eps)
(+.f64 eps #s(literal 1 binary64))
(+ (/ 1/2 eps) -1/2)
(+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(* x (+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))))
(*.f64 x (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #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 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) (*.f64 x #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))))
(+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #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 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) (*.f64 x #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))))
(*.f64 (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))
(*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
1/6
#s(literal 1/6 binary64)
(+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))
(+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
(* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1))))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))
(* (+ eps -1) (* (+ eps -1) (+ eps -1)))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))
(* (+ eps -1) (+ eps -1))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))
(* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
(* (+ 1 eps) (+ 1 eps))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))
(* 1/2 (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
(+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))
(+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
(* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))
(*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(* (- -1 eps) (+ (/ 1/2 eps) -1/2))
(*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
(- (+ 1/2 (/ 1/2 eps)) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))
(+ 1/2 (/ 1/2 eps))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
1/2
#s(literal 1/2 binary64)
(/ 1/2 eps)
(/.f64 #s(literal 1/2 binary64) eps)
eps
(* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(exp (* x (- -1 eps)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(* x (- -1 eps))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
x
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
-1
#s(literal -1 binary64)
(+ (/ 1/2 eps) -1/2)
(+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (+ 1/2 (+ (/ 1/2 eps) (* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* 1/2 (* (* (+ 1/2 (/ 1/2 eps)) (* x (+ eps -1))) (+ eps -1))))))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(+.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (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 x (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))
(+ 1/2 (+ (/ 1/2 eps) (* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* 1/2 (* (* (+ 1/2 (/ 1/2 eps)) (* x (+ eps -1))) (+ eps -1)))))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))))
1/2
#s(literal 1/2 binary64)
(+ (/ 1/2 eps) (* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* 1/2 (* (* (+ 1/2 (/ 1/2 eps)) (* x (+ eps -1))) (+ eps -1))))))
(+.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))
(/ 1/2 eps)
(/.f64 #s(literal 1/2 binary64) eps)
eps
(* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* 1/2 (* (* (+ 1/2 (/ 1/2 eps)) (* x (+ eps -1))) (+ eps -1)))))
(*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
x
(+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* 1/2 (* (* (+ 1/2 (/ 1/2 eps)) (* x (+ eps -1))) (+ eps -1))))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(* (+ 1/2 (/ 1/2 eps)) (+ eps -1))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(+ 1/2 (/ 1/2 eps))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
(+ eps -1)
(+.f64 eps #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(* 1/2 (* (* (+ 1/2 (/ 1/2 eps)) (* x (+ eps -1))) (+ eps -1)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))
(* (* (+ 1/2 (/ 1/2 eps)) (* x (+ eps -1))) (+ eps -1))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))
(* (+ 1/2 (/ 1/2 eps)) (* x (+ eps -1)))
(*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(* x (+ eps -1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(exp (* x (- -1 eps)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(* x (- -1 eps))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
(+ (/ 1/2 eps) -1/2)
(+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)

localize1.0s (6.1%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 eps #s(literal -1 binary64)))
✓accuracy99.8%
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64))))
✓accuracy98.0%
(*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 eps #s(literal -1 binary64))))))
✓accuracy69.7%
(-.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 eps #s(literal -1 binary64)))))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
✓accuracy100.0%
(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)))
✓accuracy100.0%
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
✓accuracy70.3%
(-.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))))
✓accuracy94.9%
(*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
✓accuracy92.6%
(+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.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 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
✓accuracy53.3%
(+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.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 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
✓accuracy5.1%
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
✓accuracy100.0%
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
✓accuracy100.0%
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
✓accuracy100.0%
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
✓accuracy100.0%
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
Results
459.0ms152×2valid
304.0ms102×1valid
10.0ms2×3valid
Compiler

Compiled 1148 to 51 computations (95.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 301.0ms
ival-mult: 104.0ms (34.5% of total)
backward-pass: 79.0ms (26.2% of total)
ival-add: 56.0ms (18.6% of total)
...c/correct-round.rkt:119:19: 30.0ms (10% of total)
ival-sub: 12.0ms (4% of total)
ival-exp: 12.0ms (4% of total)
ival-div: 6.0ms (2% of total)
const: 2.0ms (0.7% of total)

series115.0ms (0.7%)

Counts
25 → 540
Calls
Call 1
Inputs
#<alt (* 1/2 (+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps)))))>
#<alt (+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps))))>
#<alt (exp (* x (+ eps -1)))>
#<alt (* x (+ eps -1))>
#<alt (+ 1 (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* x (+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))))))>
#<alt (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* x (+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))))))>
#<alt (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* x (+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))))>
#<alt (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))>
#<alt (- (+ 1/2 (/ 1/2 eps)) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))>
#<alt (+ 1/2 (/ 1/2 eps))>
#<alt (/ 1/2 eps)>
#<alt (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))>
#<alt (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* 1/2 (* (* (+ 1/2 (/ 1/2 eps)) (* x (+ eps -1))) (+ eps -1))))>
#<alt (- (+ 1/2 (+ (/ 1/2 eps) (* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* 1/2 (* (* (+ 1/2 (/ 1/2 eps)) (* x (+ eps -1))) (+ eps -1))))))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))>
#<alt (+ 1/2 (+ (/ 1/2 eps) (* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* 1/2 (* (* (+ 1/2 (/ 1/2 eps)) (* x (+ eps -1))) (+ eps -1)))))))>
#<alt (+ (/ 1/2 eps) (* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* 1/2 (* (* (+ 1/2 (/ 1/2 eps)) (* x (+ eps -1))) (+ eps -1))))))>
#<alt (* x (- -1 eps))>
#<alt (exp (* x (- -1 eps)))>
#<alt (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))>
#<alt (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))>
#<alt (+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))>
#<alt (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))))>
#<alt (* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* 1/2 (* (* (+ 1/2 (/ 1/2 eps)) (* x (+ eps -1))) (+ eps -1)))))>
#<alt (* (+ 1/2 (/ 1/2 eps)) (* x (+ eps -1)))>
#<alt (* (* (+ 1/2 (/ 1/2 eps)) (* x (+ eps -1))) (+ eps -1))>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))>
#<alt (+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)))))>
#<alt (+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (exp (* -1 x))>
#<alt (+ (exp (* -1 x)) (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))>
#<alt 2>
#<alt (+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))>
#<alt (+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1)))>
#<alt (+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- eps 1) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))))) 1)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (* 2 (exp (* -1 x)))>
#<alt (+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))>
#<alt (+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x)))))))>
#<alt (+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x)))))) (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x)))))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))>
#<alt 1>
#<alt (+ 1 (* x (- eps 1)))>
#<alt (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))>
#<alt (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* -1 x))>
#<alt (+ (exp (* -1 x)) (* eps (* x (exp (* -1 x)))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x))))))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* -1 (* x (+ 1 (* -1 eps)))))>
#<alt (exp (* -1 (* x (+ 1 (* -1 eps)))))>
#<alt (exp (* -1 (* x (+ 1 (* -1 eps)))))>
#<alt (exp (* -1 (* x (+ 1 (* -1 eps)))))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* eps x))>
#<alt (+ (* -1 x) (* eps x))>
#<alt (+ (* -1 x) (* eps x))>
#<alt (* eps x)>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps x)>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt 1>
#<alt (+ 1 (* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))))>
#<alt (+ 1 (* x (+ (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))>
#<alt (+ 1 (* x (+ (* x (+ (* 1/6 (* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))) (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))>
#<alt (* 1/6 (* (pow x 3) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))>
#<alt (* (pow x 3) (+ (* 1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))) (* 1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x))))>
#<alt (* (pow x 3) (+ (* 1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))) (+ (* 1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x)) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (pow x 2)) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (pow x 2))))))>
#<alt (* (pow x 3) (+ (* 1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))) (+ (* 1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x)) (+ (/ 1 (pow x 3)) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (pow x 2)) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (pow x 2)))))))>
#<alt (* 1/6 (* (pow x 3) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x)) (* -1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x))) x)) (* -1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))) (/ 1 x)) x)) (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) x)) (* -1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))))>
#<alt (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))>
#<alt (+ 1 (+ (* (pow eps 2) (* (pow x 2) (+ 1/2 (* -1/3 x)))) (* (pow x 2) (- (* 1/3 x) 1/2))))>
#<alt (+ 1 (+ (* (pow eps 2) (* (pow x 2) (+ 1/2 (* -1/3 x)))) (* (pow x 2) (- (* 1/3 x) 1/2))))>
#<alt (+ 1 (+ (* (pow eps 2) (* (pow x 2) (+ 1/2 (* -1/3 x)))) (* (pow x 2) (- (* 1/3 x) 1/2))))>
#<alt (* (pow eps 2) (* (pow x 2) (+ 1/2 (* -1/3 x))))>
#<alt (* (pow eps 2) (+ (* (pow x 2) (+ 1/2 (* -1/3 x))) (+ (/ 1 (pow eps 2)) (/ (* (pow x 2) (- (* 1/3 x) 1/2)) (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* (pow x 2) (+ 1/2 (* -1/3 x))) (+ (/ 1 (pow eps 2)) (/ (* (pow x 2) (- (* 1/3 x) 1/2)) (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* (pow x 2) (+ 1/2 (* -1/3 x))) (+ (/ 1 (pow eps 2)) (/ (* (pow x 2) (- (* 1/3 x) 1/2)) (pow eps 2)))))>
#<alt (* (pow eps 2) (* (pow x 2) (+ 1/2 (* -1/3 x))))>
#<alt (* (pow eps 2) (+ (* (pow x 2) (+ 1/2 (* -1/3 x))) (+ (/ 1 (pow eps 2)) (/ (* (pow x 2) (- (* 1/3 x) 1/2)) (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* (pow x 2) (+ 1/2 (* -1/3 x))) (+ (/ 1 (pow eps 2)) (/ (* (pow x 2) (- (* 1/3 x) 1/2)) (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* (pow x 2) (+ 1/2 (* -1/3 x))) (+ (/ 1 (pow eps 2)) (/ (* (pow x 2) (- (* 1/3 x) 1/2)) (pow eps 2)))))>
#<alt (* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (* x (+ (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))))>
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#<alt (* 1/6 (* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))>
#<alt (* 1/6 (* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))>
#<alt (* 1/6 (* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))>
#<alt (* 1/6 (* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))>
#<alt (* 1/6 (* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))>
#<alt (* 1/6 (* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))>
#<alt (* 1/6 (* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))>
#<alt (* 1/6 (* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))>
#<alt (* 1/6 (* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))>
#<alt (* 1/3 x)>
#<alt (+ (* -1/3 (* (pow eps 2) x)) (* 1/3 x))>
#<alt (+ (* -1/3 (* (pow eps 2) x)) (* 1/3 x))>
#<alt (+ (* -1/3 (* (pow eps 2) x)) (* 1/3 x))>
#<alt (* -1/3 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1/3 x) (* 1/3 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/3 x) (* 1/3 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/3 x) (* 1/3 (/ x (pow eps 2)))))>
#<alt (* -1/3 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1/3 x) (* 1/3 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/3 x) (* 1/3 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/3 x) (* 1/3 (/ x (pow eps 2)))))>
#<alt (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))>
#<alt (* x (+ (* 1/2 (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))))>
#<alt (* x (+ (* 1/2 (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))))>
#<alt (* x (+ (* 1/2 (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))))>
#<alt (* 1/2 (* (pow x 2) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)))>
#<alt (* (pow x 2) (+ (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)))>
#<alt (* (pow x 2) (+ (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)))>
#<alt (* 1/2 (* (pow x 2) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)))>
#<alt (* (pow x 2) (+ (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)))>
#<alt (* (pow x 2) (+ (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)))>
#<alt (/ (* x (- (* 1/4 x) 1/2)) eps)>
#<alt (/ (+ (* -1/4 (* eps (pow x 2))) (* x (- (* 1/4 x) 1/2))) eps)>
#<alt (/ (+ (* eps (+ (* -1/4 (pow x 2)) (* eps (* x (+ 1/2 (* -1/4 x)))))) (* x (- (* 1/4 x) 1/2))) eps)>
#<alt (/ (+ (* eps (+ (* -1/4 (pow x 2)) (* eps (+ (* 1/4 (* eps (pow x 2))) (* x (+ 1/2 (* -1/4 x))))))) (* x (- (* 1/4 x) 1/2))) eps)>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/4 (pow x 2)) (/ (* x (+ 1/2 (* -1/4 x))) eps)))>
#<alt (* (pow eps 2) (+ (* -1/4 (/ (pow x 2) (pow eps 2))) (+ (* 1/4 (pow x 2)) (/ (* x (+ 1/2 (* -1/4 x))) eps))))>
#<alt (* (pow eps 2) (+ (* -1/4 (/ (pow x 2) (pow eps 2))) (+ (* 1/4 (pow x 2)) (+ (/ (* x (+ 1/2 (* -1/4 x))) eps) (/ (* x (- (* 1/4 x) 1/2)) (pow eps 3))))))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (* x (- (* 1/4 x) 1/2)) eps)) (* 1/4 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* 1/4 (/ (pow x 2) eps)) (* x (- (* 1/4 x) 1/2))) eps)) (* 1/4 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (+ 1/2 (* -1/4 x))) eps)) (* -1/4 (pow x 2))) eps)) (* x (- (* 1/4 x) 1/2))) eps)) (* 1/4 (pow x 2))))>
#<alt (* -1/2 (/ x eps))>
#<alt (/ (+ (* -1/2 x) (* 1/2 (* (pow eps 2) x))) eps)>
#<alt (/ (+ (* -1/2 x) (* 1/2 (* (pow eps 2) x))) eps)>
#<alt (/ (+ (* -1/2 x) (* 1/2 (* (pow eps 2) x))) eps)>
#<alt (* 1/2 (* eps x))>
#<alt (* eps (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))>
#<alt (* eps (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))>
#<alt (* eps (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))>
#<alt (* 1/2 (* eps x))>
#<alt (* -1 (* eps (+ (* -1/2 x) (* 1/2 (/ x (pow eps 2))))))>
#<alt (* -1 (* eps (+ (* -1/2 x) (* 1/2 (/ x (pow eps 2))))))>
#<alt (* -1 (* eps (+ (* -1/2 x) (* 1/2 (/ x (pow eps 2))))))>
#<alt (* 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)))>
#<alt (* 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)))>
#<alt (* 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)))>
#<alt (* 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)))>
#<alt (* 1/2 (/ x eps))>
#<alt (/ (+ (* -1/2 (* eps x)) (* 1/2 x)) eps)>
#<alt (/ (+ (* 1/2 x) (* eps (+ (* -1/2 x) (* -1/2 (* eps x))))) eps)>
#<alt (/ (+ (* 1/2 x) (* eps (+ (* -1/2 x) (* eps (+ (* -1/2 x) (* 1/2 (* eps x))))))) eps)>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x eps)) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/2 x) (* 1/2 (/ x (pow eps 3)))))))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x eps)) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 x) (* 1/2 (/ x eps))) eps)) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ x eps))) eps)) (* 1/2 x)) eps)) (* 1/2 x)))>
#<alt (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))>
#<alt (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))>
#<alt (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))>
#<alt (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))>
#<alt (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))>
#<alt (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))>
#<alt (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))>
#<alt (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))>
#<alt (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))>
#<alt (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))>
#<alt (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))>
#<alt (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))>
Calls

135 calls:

TimeVariablePointExpression
18.0ms
x
@0
(+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* 1/2 (* (* (+ 1/2 (/ 1/2 eps)) (* x (+ eps -1))) (+ eps -1))))
8.0ms
x
@-inf
(+ 1 (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* x (+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))))))
6.0ms
eps
@0
(+ 1 (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* x (+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))))))
3.0ms
eps
@inf
(+ 1 (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* x (+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))))))
3.0ms
eps
@-inf
(+ 1 (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* x (+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))))))

rewrite422.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
3052×*-lowering-*.f32
3052×*-lowering-*.f64
2028×sum3-define
1686×fma-lowering-fma.f32
1686×fma-lowering-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050676
1413618
25354611
08146611
Stop Event
1×iter limit
1×node limit
Counts
25 → 428
Calls
Call 1
Inputs
(* 1/2 (+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps)))))
(+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps))))
(exp (* x (+ eps -1)))
(* x (+ eps -1))
(+ 1 (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* x (+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))))))
(* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* x (+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))))))
(+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* x (+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))))
(+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))
(- (+ 1/2 (/ 1/2 eps)) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(+ 1/2 (/ 1/2 eps))
(/ 1/2 eps)
(* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))
(+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* 1/2 (* (* (+ 1/2 (/ 1/2 eps)) (* x (+ eps -1))) (+ eps -1))))
(- (+ 1/2 (+ (/ 1/2 eps) (* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* 1/2 (* (* (+ 1/2 (/ 1/2 eps)) (* x (+ eps -1))) (+ eps -1))))))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(+ 1/2 (+ (/ 1/2 eps) (* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* 1/2 (* (* (+ 1/2 (/ 1/2 eps)) (* x (+ eps -1))) (+ eps -1)))))))
(+ (/ 1/2 eps) (* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* 1/2 (* (* (+ 1/2 (/ 1/2 eps)) (* x (+ eps -1))) (+ eps -1))))))
(* x (- -1 eps))
(exp (* x (- -1 eps)))
(+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))
(+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))
(+ (* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))) (* 1/2 (+ (* (+ eps -1) (* (+ 1/2 (/ 1/2 eps)) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))
(* x (* 1/6 (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (* (+ eps -1) (+ eps -1)))) (* (* (+ 1 eps) (+ 1 eps)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))))
(* x (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* 1/2 (* (* (+ 1/2 (/ 1/2 eps)) (* x (+ eps -1))) (+ eps -1)))))
(* (+ 1/2 (/ 1/2 eps)) (* x (+ eps -1)))
(* (* (+ 1/2 (/ 1/2 eps)) (* x (+ eps -1))) (+ eps -1))
Outputs
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (-.f64 (+.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (-.f64 (+.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
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(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (-.f64 #s(literal 1 binary64) eps)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) eps)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) eps))) (-.f64 (*.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) eps)) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (-.f64 #s(literal 1 binary64) eps))))))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) eps)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) eps))) (*.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (-.f64 #s(literal 1 binary64) eps)))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) eps)) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (-.f64 #s(literal 1 binary64) eps))))
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(/.f64 (*.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (+.f64 (*.f64 eps eps) #s(literal -1 binary64))) (+.f64 eps #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps))))
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(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))
(*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(*.f64 (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (+.f64 eps #s(literal -1 binary64)))
(*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 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 #s(literal 1/2 binary64) eps)))

simplify535.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
6178×+-lowering-+.f64
6178×+-lowering-+.f32
5428×*-lowering-*.f32
5428×*-lowering-*.f64
1276×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
079410724
128969651
091659651
Stop Event
1×iter limit
1×node limit
Counts
540 → 540
Calls
Call 1
Inputs
1
(+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)))))
(+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(exp (* -1 x))
(+ (exp (* -1 x)) (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))))
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))))
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
2
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(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
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(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
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(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(* 2 (exp (* -1 x)))
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(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x)))))))
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x)))))) (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x)))))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
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(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))
1
(+ 1 (* x (- eps 1)))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* -1 x))
(+ (exp (* -1 x)) (* eps (* x (exp (* -1 x)))))
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))
(+ (exp (* -1 x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x))))))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
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(* 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
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(* 1/6 (* (pow x 3) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))
(* (pow x 3) (+ (* 1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))) (* 1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x))))
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(* (pow eps 2) (* (pow x 2) (+ 1/2 (* -1/3 x))))
(* (pow eps 2) (+ (* (pow x 2) (+ 1/2 (* -1/3 x))) (+ (/ 1 (pow eps 2)) (/ (* (pow x 2) (- (* 1/3 x) 1/2)) (pow eps 2)))))
(* (pow eps 2) (+ (* (pow x 2) (+ 1/2 (* -1/3 x))) (+ (/ 1 (pow eps 2)) (/ (* (pow x 2) (- (* 1/3 x) 1/2)) (pow eps 2)))))
(* (pow eps 2) (+ (* (pow x 2) (+ 1/2 (* -1/3 x))) (+ (/ 1 (pow eps 2)) (/ (* (pow x 2) (- (* 1/3 x) 1/2)) (pow eps 2)))))
(* (pow eps 2) (* (pow x 2) (+ 1/2 (* -1/3 x))))
(* (pow eps 2) (+ (* (pow x 2) (+ 1/2 (* -1/3 x))) (+ (/ 1 (pow eps 2)) (/ (* (pow x 2) (- (* 1/3 x) 1/2)) (pow eps 2)))))
(* (pow eps 2) (+ (* (pow x 2) (+ 1/2 (* -1/3 x))) (+ (/ 1 (pow eps 2)) (/ (* (pow x 2) (- (* 1/3 x) 1/2)) (pow eps 2)))))
(* (pow eps 2) (+ (* (pow x 2) (+ 1/2 (* -1/3 x))) (+ (/ 1 (pow eps 2)) (/ (* (pow x 2) (- (* 1/3 x) 1/2)) (pow eps 2)))))
(* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))
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(* x (+ (* x (+ (* 1/6 (* x (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))) (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))))
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(* 1/6 (* (pow x 3) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))
(* (pow x 3) (+ (* 1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))) (* 1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x))))
(* (pow x 3) (+ (* 1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))) (+ (* 1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x)) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (pow x 2)) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (pow x 2))))))
(* (pow x 3) (+ (* 1/6 (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))) (+ (* 1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x)) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (pow x 2)) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (pow x 2))))))
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(/ (+ (* -1/2 x) (* 1/2 (* (pow eps 2) x))) eps)
(/ (+ (* -1/2 x) (* 1/2 (* (pow eps 2) x))) eps)
(/ (+ (* -1/2 x) (* 1/2 (* (pow eps 2) x))) eps)
(* 1/2 (* eps x))
(* eps (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(* eps (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(* eps (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(* 1/2 (* eps x))
(* -1 (* eps (+ (* -1/2 x) (* 1/2 (/ x (pow eps 2))))))
(* -1 (* eps (+ (* -1/2 x) (* 1/2 (/ x (pow eps 2))))))
(* -1 (* eps (+ (* -1/2 x) (* 1/2 (/ x (pow eps 2))))))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))
(* 1/2 (/ x eps))
(/ (+ (* -1/2 (* eps x)) (* 1/2 x)) eps)
(/ (+ (* 1/2 x) (* eps (+ (* -1/2 x) (* -1/2 (* eps x))))) eps)
(/ (+ (* 1/2 x) (* eps (+ (* -1/2 x) (* eps (+ (* -1/2 x) (* 1/2 (* eps x))))))) eps)
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1/2 (/ x eps)) (* 1/2 x)))
(* (pow eps 2) (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x))))
(* (pow eps 2) (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/2 x) (* 1/2 (/ x (pow eps 3)))))))
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1/2 (/ x eps)) (* 1/2 x)))
(* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 x) (* 1/2 (/ x eps))) eps)) (* 1/2 x)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ x eps))) eps)) (* 1/2 x)) eps)) (* 1/2 x)))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))
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 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))))))
(+ 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 (*.f64 #s(literal 1/2 binary64) x) (+.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))))))
(+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps))) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) 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))))))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(+ (exp (* -1 x)) (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))))
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 eps #s(literal 0 binary64)))
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))))
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 eps (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))) (exp.f64 (-.f64 #s(literal 0 binary64) x))))))
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 x x)) (*.f64 eps #s(literal 0 binary64)))) #s(literal 0 binary64))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))))
2
#s(literal 2 binary64)
(+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))
(+.f64 (*.f64 x (+.f64 eps (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1)))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))))))
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- eps 1) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))))) 1)))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (*.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 eps #s(literal -1 binary64)))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(* 2 (exp (* -1 x)))
(*.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))
(+.f64 (*.f64 eps #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x)))))))
(+.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 eps (+.f64 (*.f64 (*.f64 eps (*.f64 x x)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) #s(literal 0 binary64))))
(+ (* 2 (exp (* -1 x))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x)))))) (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x)))))))
(+.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 eps (+.f64 (*.f64 eps (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 x x)) (*.f64 eps #s(literal 0 binary64)))) #s(literal 0 binary64))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))))
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))))
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))))
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps)))))
1
#s(literal 1 binary64)
(+ 1 (* x (- eps 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (+.f64 eps #s(literal -1 binary64)))))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal -1 binary64))) (+.f64 eps #s(literal -1 binary64))) (*.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 eps #s(literal -1 binary64)))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(+ (exp (* -1 x)) (* eps (* x (exp (* -1 x)))))
(*.f64 (+.f64 (*.f64 x eps) #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))
(+.f64 (*.f64 eps (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))) (exp.f64 (-.f64 #s(literal 0 binary64) x)))) (*.f64 (+.f64 (*.f64 x eps) #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(+ (exp (* -1 x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x))))))
(+.f64 (*.f64 (*.f64 eps eps) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 eps (*.f64 x x)) x)) (exp.f64 (-.f64 #s(literal 0 binary64) x))))) (*.f64 (+.f64 (*.f64 x eps) #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))
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(*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))
(*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))
(*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))
(*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))
(*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(* 1/2 (/ x eps))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) eps)
(/ (+ (* -1/2 (* eps x)) (* 1/2 x)) eps)
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) eps))) eps)
(/ (+ (* 1/2 x) (* eps (+ (* -1/2 x) (* -1/2 (* eps x))))) eps)
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) eps)))) eps)
(/ (+ (* 1/2 x) (* eps (+ (* -1/2 x) (* eps (+ (* -1/2 x) (* 1/2 (* eps x))))))) eps)
(/.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) eps))) (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))) eps)
(* 1/2 (* (pow eps 2) x))
(*.f64 (*.f64 eps (*.f64 #s(literal 1/2 binary64) x)) eps)
(* (pow eps 2) (+ (* -1/2 (/ x eps)) (* 1/2 x)))
(*.f64 (*.f64 eps eps) (+.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) eps) (*.f64 #s(literal 1/2 binary64) x)))
(* (pow eps 2) (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x))))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x eps) (/.f64 x (*.f64 eps eps)))) (*.f64 #s(literal 1/2 binary64) x)))
(* (pow eps 2) (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ x (pow eps 2))) (+ (* 1/2 x) (* 1/2 (/ x (pow eps 3)))))))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 x eps) (/.f64 x (*.f64 eps eps)))) (*.f64 #s(literal 1/2 binary64) (+.f64 x (/.f64 x (*.f64 eps (*.f64 eps eps)))))))
(* 1/2 (* (pow eps 2) x))
(*.f64 (*.f64 eps (*.f64 #s(literal 1/2 binary64) x)) eps)
(* (pow eps 2) (+ (* -1/2 (/ x eps)) (* 1/2 x)))
(*.f64 (*.f64 eps eps) (+.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) eps) (*.f64 #s(literal 1/2 binary64) x)))
(* (pow eps 2) (+ (* -1 (/ (+ (* 1/2 x) (* 1/2 (/ x eps))) eps)) (* 1/2 x)))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x (/.f64 x eps))) eps)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ x eps))) eps)) (* 1/2 x)) eps)) (* 1/2 x)))
(*.f64 (*.f64 eps eps) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) eps)) eps)) eps)))
(* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))
(*.f64 (*.f64 (*.f64 x (+.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 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))
(*.f64 (*.f64 (*.f64 x (+.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 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))
(*.f64 (*.f64 (*.f64 x (+.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 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))
(*.f64 (*.f64 (*.f64 x (+.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 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))
(*.f64 (*.f64 (*.f64 x (+.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 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))
(*.f64 (*.f64 (*.f64 x (+.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 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))
(*.f64 (*.f64 (*.f64 x (+.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 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))
(*.f64 (*.f64 (*.f64 x (+.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 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))
(*.f64 (*.f64 (*.f64 x (+.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 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))
(*.f64 (*.f64 (*.f64 x (+.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 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))
(*.f64 (*.f64 (*.f64 x (+.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 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))
(*.f64 (*.f64 (*.f64 x (+.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)))

eval378.0ms (2.3%)

Compiler

Compiled 105838 to 4964 computations (95.3% saved)

prune188.0ms (1.1%)

Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New1567191586
Fresh314
Picked415
Done000
Total1574211595
Accuracy
100.0%
Counts
1595 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.8%
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
▶27.3%
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) 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))))
39.2%
(-.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 eps #s(literal -1 binary64)))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
45.7%
(-.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 eps #s(literal -1 binary64)))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.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))))
62.3%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))
51.9%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))
73.1%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))))))
39.1%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (+.f64 (+.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 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal 1/6 binary64))) x) (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) #s(literal 1/6 binary64))) x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.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 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))))
42.5%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.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 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))))
▶50.0%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))))) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
▶64.0%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))))
66.8%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
63.7%
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
25.3%
(*.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))
11.5%
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (+.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)))
44.4%
(*.f64 (*.f64 eps eps) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 eps eps))))))
▶38.9%
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps))) x)
60.4%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)))
▶81.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
78.3%
(exp.f64 (-.f64 #s(literal 0 binary64) x))
✓46.6%
#s(literal 1 binary64)
Compiler

Compiled 1447 to 707 computations (51.1% saved)

simplify189.0ms (1.1%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))))) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
✓cost-diff0
(*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))))) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))))) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
✓cost-diff256
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) eps)
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
✓cost-diff0
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) 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))))
✓cost-diff512
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))
✓cost-diff0
(*.f64 eps eps)
✓cost-diff0
(*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))
✓cost-diff0
(*.f64 x (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))))
✓cost-diff0
(*.f64 eps eps)
✓cost-diff0
(*.f64 x (*.f64 eps eps))
✓cost-diff0
(*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps)))
✓cost-diff0
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps))) x)
✓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
3412×*-lowering-*.f32
3412×*-lowering-*.f64
2644×+-lowering-+.f64
2644×+-lowering-+.f32
1680×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062817
1259788
21318758
09083758
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
(* (* 1/4 (* x (* eps eps))) x)
(* 1/4 (* x (* eps eps)))
1/4
(* x (* eps eps))
x
(* eps eps)
eps
(+ 1 (* x (* (* eps eps) (* x (+ 1/2 (* x -1/3))))))
1
(* x (* (* eps eps) (* x (+ 1/2 (* x -1/3)))))
x
(* (* eps eps) (* x (+ 1/2 (* x -1/3))))
(* eps eps)
eps
(* x (+ 1/2 (* x -1/3)))
(+ 1/2 (* x -1/3))
1/2
(* x -1/3)
-1/3
(- (+ 1/2 (/ 1/2 eps)) (* (+ 1 (* x (+ (- -1 eps) (* x (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* (* -1/6 x) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))) (+ (/ 1/2 eps) -1/2)))
(+ 1/2 (/ 1/2 eps))
1/2
(/ 1/2 eps)
eps
(* (+ 1 (* x (+ (- -1 eps) (* x (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* (* -1/6 x) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))) (+ (/ 1/2 eps) -1/2))
(+ 1 (* x (+ (- -1 eps) (* x (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* (* -1/6 x) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))))))))
1
(* x (+ (- -1 eps) (* x (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* (* -1/6 x) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))
x
(+ (- -1 eps) (* x (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* (* -1/6 x) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))))))
(- -1 eps)
-1
(* x (+ (* (* 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)
-1/6
(* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))
(* (+ 1 eps) (+ 1 eps))
(+ (/ 1/2 eps) -1/2)
-1/2
(+ 1 (* x (+ (* x (+ (* (* 1/6 x) (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (+ (/ 1/2 eps) -1/2))) (* 1/2 (+ (* (+ (/ 1/2 eps) -1/2) (* (- -1 eps) (+ 1 eps))) (* (* (+ eps -1) (+ eps -1)) (+ 1/2 (/ 1/2 eps))))))) (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))))
1
(* x (+ (* x (+ (* (* 1/6 x) (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (+ (/ 1/2 eps) -1/2))) (* 1/2 (+ (* (+ (/ 1/2 eps) -1/2) (* (- -1 eps) (+ 1 eps))) (* (* (+ eps -1) (+ eps -1)) (+ 1/2 (/ 1/2 eps))))))) (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))
x
(+ (* x (+ (* (* 1/6 x) (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (+ (/ 1/2 eps) -1/2))) (* 1/2 (+ (* (+ (/ 1/2 eps) -1/2) (* (- -1 eps) (+ 1 eps))) (* (* (+ eps -1) (+ eps -1)) (+ 1/2 (/ 1/2 eps))))))) (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))
(* x (+ (* (* 1/6 x) (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (+ (/ 1/2 eps) -1/2))) (* 1/2 (+ (* (+ (/ 1/2 eps) -1/2) (* (- -1 eps) (+ 1 eps))) (* (* (+ eps -1) (+ eps -1)) (+ 1/2 (/ 1/2 eps)))))))
(+ (* (* 1/6 x) (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (+ (/ 1/2 eps) -1/2))) (* 1/2 (+ (* (+ (/ 1/2 eps) -1/2) (* (- -1 eps) (+ 1 eps))) (* (* (+ eps -1) (+ eps -1)) (+ 1/2 (/ 1/2 eps))))))
(* (* 1/6 x) (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (+ (/ 1/2 eps) -1/2)))
(* 1/6 x)
1/6
(* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (+ (/ 1/2 eps) -1/2))
(* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))
(+ 1 eps)
eps
(* (+ 1 eps) (+ 1 eps))
(+ (/ 1/2 eps) -1/2)
(/ 1/2 eps)
1/2
-1/2
(* 1/2 (+ (* (+ (/ 1/2 eps) -1/2) (* (- -1 eps) (+ 1 eps))) (* (* (+ eps -1) (+ eps -1)) (+ 1/2 (/ 1/2 eps)))))
(+ (* (+ (/ 1/2 eps) -1/2) (* (- -1 eps) (+ 1 eps))) (* (* (+ eps -1) (+ eps -1)) (+ 1/2 (/ 1/2 eps))))
(* (+ (/ 1/2 eps) -1/2) (* (- -1 eps) (+ 1 eps)))
(* (- -1 eps) (+ 1 eps))
(- -1 eps)
-1
(* (* (+ eps -1) (+ eps -1)) (+ 1/2 (/ 1/2 eps)))
(* (+ eps -1) (+ eps -1))
(+ eps -1)
(+ 1/2 (/ 1/2 eps))
(+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))
(* (+ eps -1) (+ 1/2 (/ 1/2 eps)))
(* (+ 1 eps) (+ (/ 1/2 eps) -1/2))
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)
(* (* 1/4 (* x (* eps eps))) x)
(*.f64 x (*.f64 eps (*.f64 (*.f64 x eps) #s(literal 1/4 binary64))))
(* 1/4 (* x (* eps eps)))
(*.f64 eps (*.f64 (*.f64 x eps) #s(literal 1/4 binary64)))
1/4
#s(literal 1/4 binary64)
(* x (* eps eps))
(*.f64 x (*.f64 eps eps))
x
(* eps eps)
(*.f64 eps eps)
eps
(+ 1 (* x (* (* eps eps) (* x (+ 1/2 (* x -1/3))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))) (*.f64 x x))))
1
#s(literal 1 binary64)
(* x (* (* eps eps) (* x (+ 1/2 (* x -1/3)))))
(*.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))) (*.f64 x x)))
x
(* (* eps eps) (* x (+ 1/2 (* x -1/3))))
(*.f64 x (*.f64 eps (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))
(* eps eps)
(*.f64 eps eps)
eps
(* x (+ 1/2 (* x -1/3)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))
(+ 1/2 (* x -1/3))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))
1/2
#s(literal 1/2 binary64)
(* x -1/3)
(*.f64 x #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
(- (+ 1/2 (/ 1/2 eps)) (* (+ 1 (* x (+ (- -1 eps) (* x (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* (* -1/6 x) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))) (+ (/ 1/2 eps) -1/2)))
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 x (*.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 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(+ 1/2 (/ 1/2 eps))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
1/2
#s(literal 1/2 binary64)
(/ 1/2 eps)
(/.f64 #s(literal 1/2 binary64) eps)
eps
(* (+ 1 (* x (+ (- -1 eps) (* x (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* (* -1/6 x) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))) (+ (/ 1/2 eps) -1/2))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 x (*.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 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(+ 1 (* x (+ (- -1 eps) (* x (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* (* -1/6 x) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 x (*.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
#s(literal 1 binary64)
(* x (+ (- -1 eps) (* x (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* (* -1/6 x) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))
(*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 x (*.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) (* x (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* (* -1/6 x) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))))))
(+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 x (*.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 eps)
(-.f64 #s(literal -1 binary64) eps)
-1
#s(literal -1 binary64)
(* x (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* (* -1/6 x) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))
(*.f64 (*.f64 x (*.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 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))
(* 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 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (+.f64 eps #s(literal 1 binary64))))))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
-1/6
#s(literal -1/6 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)))
(+ (/ 1/2 eps) -1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
-1/2
#s(literal -1/2 binary64)
(+ 1 (* x (+ (* x (+ (* (* 1/6 x) (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (+ (/ 1/2 eps) -1/2))) (* 1/2 (+ (* (+ (/ 1/2 eps) -1/2) (* (- -1 eps) (+ 1 eps))) (* (* (+ eps -1) (+ eps -1)) (+ 1/2 (/ 1/2 eps))))))) (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) #s(literal 1/6 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))))
1
#s(literal 1 binary64)
(* x (+ (* x (+ (* (* 1/6 x) (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (+ (/ 1/2 eps) -1/2))) (* 1/2 (+ (* (+ (/ 1/2 eps) -1/2) (* (- -1 eps) (+ 1 eps))) (* (* (+ eps -1) (+ eps -1)) (+ 1/2 (/ 1/2 eps))))))) (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))
(*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #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 x (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) #s(literal 1/6 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))))
x
(+ (* x (+ (* (* 1/6 x) (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (+ (/ 1/2 eps) -1/2))) (* 1/2 (+ (* (+ (/ 1/2 eps) -1/2) (* (- -1 eps) (+ 1 eps))) (* (* (+ eps -1) (+ eps -1)) (+ 1/2 (/ 1/2 eps))))))) (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))
(+.f64 (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #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 x (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) #s(literal 1/6 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))))) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))
(* x (+ (* (* 1/6 x) (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (+ (/ 1/2 eps) -1/2))) (* 1/2 (+ (* (+ (/ 1/2 eps) -1/2) (* (- -1 eps) (+ 1 eps))) (* (* (+ eps -1) (+ eps -1)) (+ 1/2 (/ 1/2 eps)))))))
(*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #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 x (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) #s(literal 1/6 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))))))
(+ (* (* 1/6 x) (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (+ (/ 1/2 eps) -1/2))) (* 1/2 (+ (* (+ (/ 1/2 eps) -1/2) (* (- -1 eps) (+ 1 eps))) (* (* (+ eps -1) (+ eps -1)) (+ 1/2 (/ 1/2 eps))))))
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) #s(literal 1/6 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))))
(* (* 1/6 x) (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (+ (/ 1/2 eps) -1/2)))
(*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) #s(literal 1/6 binary64))))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (+ (/ 1/2 eps) -1/2))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))
(* (+ 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)
(+.f64 eps #s(literal 1 binary64))
eps
(* (+ 1 eps) (+ 1 eps))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #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)
1/2
#s(literal 1/2 binary64)
-1/2
#s(literal -1/2 binary64)
(* 1/2 (+ (* (+ (/ 1/2 eps) -1/2) (* (- -1 eps) (+ 1 eps))) (* (* (+ eps -1) (+ eps -1)) (+ 1/2 (/ 1/2 eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))))))
(+ (* (+ (/ 1/2 eps) -1/2) (* (- -1 eps) (+ 1 eps))) (* (* (+ eps -1) (+ eps -1)) (+ 1/2 (/ 1/2 eps))))
(+.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))))
(* (+ (/ 1/2 eps) -1/2) (* (- -1 eps) (+ 1 eps)))
(*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(* (- -1 eps) (+ 1 eps))
(*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 eps #s(literal 1 binary64)))
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
-1
#s(literal -1 binary64)
(* (* (+ eps -1) (+ eps -1)) (+ 1/2 (/ 1/2 eps)))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))))
(* (+ eps -1) (+ eps -1))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))
(+ eps -1)
(+.f64 eps #s(literal -1 binary64))
(+ 1/2 (/ 1/2 eps))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
(+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(* (+ eps -1) (+ 1/2 (/ 1/2 eps)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))
(* (+ 1 eps) (+ (/ 1/2 eps) -1/2))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))

localize1.1s (6.4%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy95.8%
(*.f64 x (+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))))
✓accuracy94.2%
(*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
✓accuracy90.9%
(+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))))
✓accuracy53.3%
(+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (+.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))))
✓accuracy95.8%
(*.f64 x (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))
✓accuracy94.4%
(*.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
✓accuracy90.9%
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))
✓accuracy70.3%
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) 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))))
✓accuracy99.9%
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))
✓accuracy99.4%
(*.f64 x #s(literal -1/3 binary64))
✓accuracy97.3%
(*.f64 x (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))
✓accuracy87.1%
(*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))
✓accuracy100.0%
(*.f64 eps eps)
✓accuracy100.0%
(*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps)))
✓accuracy96.2%
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps))) x)
✓accuracy93.2%
(*.f64 x (*.f64 eps eps))
✓accuracy100.0%
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
✓accuracy100.0%
(exp.f64 (*.f64 x eps))
✓accuracy100.0%
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
✓accuracy100.0%
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
Results
643.0ms186×2valid
188.0ms45×3valid
45.0ms25×1valid
Compiler

Compiled 1006 to 63 computations (93.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 420.0ms
ival-mult: 183.0ms (43.5% of total)
backward-pass: 123.0ms (29.3% of total)
ival-add: 58.0ms (13.8% of total)
...c/correct-round.rkt:119:19: 27.0ms (6.4% of total)
ival-sub: 11.0ms (2.6% of total)
ival-exp: 9.0ms (2.1% of total)
ival-div: 8.0ms (1.9% of total)
const: 3.0ms (0.7% of total)

series65.0ms (0.4%)

Counts
28 → 600
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 (* (* 1/4 (* x (* eps eps))) x)>
#<alt (* 1/4 (* x (* eps eps)))>
#<alt (* x (* eps eps))>
#<alt (* eps eps)>
#<alt (+ 1 (* x (* (* eps eps) (* x (+ 1/2 (* x -1/3))))))>
#<alt (* x (* (* eps eps) (* x (+ 1/2 (* x -1/3)))))>
#<alt (* (* eps eps) (* x (+ 1/2 (* x -1/3))))>
#<alt (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* (* -1/6 x) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))))>
#<alt (- (+ 1/2 (/ 1/2 eps)) (* (+ 1 (* x (+ (- -1 eps) (* x (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* (* -1/6 x) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))) (+ (/ 1/2 eps) -1/2)))>
#<alt (+ 1/2 (/ 1/2 eps))>
#<alt (/ 1/2 eps)>
#<alt (+ (* (* 1/6 x) (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (+ (/ 1/2 eps) -1/2))) (* 1/2 (+ (* (+ (/ 1/2 eps) -1/2) (* (- -1 eps) (+ 1 eps))) (* (* (+ eps -1) (+ eps -1)) (+ 1/2 (/ 1/2 eps))))))>
#<alt (+ 1 (* x (+ (* x (+ (* (* 1/6 x) (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (+ (/ 1/2 eps) -1/2))) (* 1/2 (+ (* (+ (/ 1/2 eps) -1/2) (* (- -1 eps) (+ 1 eps))) (* (* (+ eps -1) (+ eps -1)) (+ 1/2 (/ 1/2 eps))))))) (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))))>
#<alt (* x (+ (* x (+ (* (* 1/6 x) (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (+ (/ 1/2 eps) -1/2))) (* 1/2 (+ (* (+ (/ 1/2 eps) -1/2) (* (- -1 eps) (+ 1 eps))) (* (* (+ eps -1) (+ eps -1)) (+ 1/2 (/ 1/2 eps))))))) (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))>
#<alt (+ (* x (+ (* (* 1/6 x) (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (+ (/ 1/2 eps) -1/2))) (* 1/2 (+ (* (+ (/ 1/2 eps) -1/2) (* (- -1 eps) (+ 1 eps))) (* (* (+ eps -1) (+ eps -1)) (+ 1/2 (/ 1/2 eps))))))) (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))>
#<alt (* x (- -1 eps))>
#<alt (exp (* x (- -1 eps)))>
#<alt (* x -1/3)>
#<alt (* x (+ 1/2 (* x -1/3)))>
#<alt (* (* -1/6 x) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))>
#<alt (* x (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* (* -1/6 x) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))>
#<alt (+ (* (+ (/ 1/2 eps) -1/2) (* (- -1 eps) (+ 1 eps))) (* (* (+ eps -1) (+ eps -1)) (+ 1/2 (/ 1/2 eps))))>
#<alt (* (* 1/6 x) (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (+ (/ 1/2 eps) -1/2)))>
#<alt (* x (+ (* (* 1/6 x) (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (+ (/ 1/2 eps) -1/2))) (* 1/2 (+ (* (+ (/ 1/2 eps) -1/2) (* (- -1 eps) (+ 1 eps))) (* (* (+ eps -1) (+ eps -1)) (+ 1/2 (/ 1/2 eps)))))))>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (+ eps (* -1 (+ 1 eps))))))>
#<alt (+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))) (* 1/2 (+ eps (* -1 (+ 1 eps)))))))>
#<alt (+ 1 (* x (+ (* 1/2 (+ eps (* -1 (+ 1 eps)))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3))))) (* 1/2 (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2)))))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ 1 (exp (* -1 x))))>
#<alt (+ (* 1/2 (* eps (+ x (* -1 (* x (exp (* -1 x))))))) (* 1/2 (+ 1 (exp (* -1 x)))))>
#<alt (+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2))))) (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))))))>
#<alt (+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2)))))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))>
#<alt 2>
#<alt (+ 2 (* x (+ eps (* -1 (+ 1 eps)))))>
#<alt (+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))))))>
#<alt (+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (+ (* 1/2 (pow (+ 1 eps) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3)))))))))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ 1 (exp (* -1 x)))>
#<alt (+ 1 (+ (exp (* -1 x)) (* eps (+ x (* -1 (* x (exp (* -1 x))))))))>
#<alt (+ 1 (+ (exp (* -1 x)) (* eps (+ x (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2)))))))))>
#<alt (+ 1 (+ (exp (* -1 x)) (* eps (+ x (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (pow x 2)) (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))))))))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))>
#<alt (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))>
#<alt (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))>
#<alt (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))>
#<alt 1>
#<alt (+ 1 (* eps x))>
#<alt (+ 1 (* x (+ eps (* 1/2 (* (pow eps 2) x)))))>
#<alt (+ 1 (* x (+ eps (* x (+ (* 1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2)))))))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt 1>
#<alt (+ 1 (* eps x))>
#<alt (+ 1 (* eps (+ x (* 1/2 (* eps (pow x 2))))))>
#<alt (+ 1 (* eps (+ x (* eps (+ (* 1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
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#<alt (* -1/6 (* x (pow (+ 1 eps) 3)))>
#<alt (* -1/6 (* x (pow (+ 1 eps) 3)))>
#<alt (* -1/6 (* x (pow (+ 1 eps) 3)))>
#<alt (* -1/6 (* x (pow (+ 1 eps) 3)))>
#<alt (* -1/6 (* x (pow (+ 1 eps) 3)))>
#<alt (* -1/6 (* x (pow (+ 1 eps) 3)))>
#<alt (* -1/6 (* x (pow (+ 1 eps) 3)))>
#<alt (* -1/6 (* x (pow (+ 1 eps) 3)))>
#<alt (* -1/6 (* x (pow (+ 1 eps) 3)))>
#<alt (* -1/6 (* x (pow (+ 1 eps) 3)))>
#<alt (* -1/6 x)>
#<alt (+ (* -1/2 (* eps x)) (* -1/6 x))>
#<alt (+ (* -1/6 x) (* eps (+ (* -1/2 x) (* -1/2 (* eps x)))))>
#<alt (+ (* -1/6 x) (* eps (+ (* -1/2 x) (* eps (+ (* -1/2 x) (* -1/6 (* eps x)))))))>
#<alt (* -1/6 (* (pow eps 3) x))>
#<alt (* (pow eps 3) (+ (* -1/2 (/ x eps)) (* -1/6 x)))>
#<alt (* (pow eps 3) (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ x (pow eps 2))) (* -1/6 x))))>
#<alt (* (pow eps 3) (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/6 x) (* -1/6 (/ x (pow eps 3)))))))>
#<alt (* -1/6 (* (pow eps 3) x))>
#<alt (* -1 (* (pow eps 3) (+ (* 1/6 x) (* 1/2 (/ x eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 x) (* -1/2 (/ x eps))) eps)) (* 1/6 x))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ x eps)) (* 1/2 x)) eps)) (* -1/2 x)) eps)) (* 1/6 x))))>
#<alt (* 1/2 (* x (pow (+ 1 eps) 2)))>
#<alt (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))>
#<alt (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))>
#<alt (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))>
#<alt (* -1/6 (* (pow x 2) (pow (+ 1 eps) 3)))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))>
#<alt (* -1/6 (* (pow x 2) (pow (+ 1 eps) 3)))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))>
#<alt (* x (+ 1/2 (* -1/6 x)))>
#<alt (+ (* eps (* x (+ 1 (* -1/2 x)))) (* x (+ 1/2 (* -1/6 x))))>
#<alt (+ (* eps (+ (* eps (* x (+ 1/2 (* -1/2 x)))) (* x (+ 1 (* -1/2 x))))) (* x (+ 1/2 (* -1/6 x))))>
#<alt (+ (* eps (+ (* eps (+ (* -1/6 (* eps (pow x 2))) (* x (+ 1/2 (* -1/2 x))))) (* x (+ 1 (* -1/2 x))))) (* x (+ 1/2 (* -1/6 x))))>
#<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 (* -1/2 x))) (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 (* -1/2 x))) (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 (- (* 1/2 x) 1)) eps)) (* x (+ 1/2 (* -1/2 x)))) eps)) (* 1/6 (pow x 2)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (+ 1/2 (* -1/6 x))) eps)) (* x (- (* 1/2 x) 1))) eps)) (* x (+ 1/2 (* -1/2 x)))) eps)) (* 1/6 (pow x 2)))))>
#<alt -1>
#<alt (- (pow eps 2) 1)>
#<alt (- (pow eps 2) 1)>
#<alt (- (pow eps 2) 1)>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (- 1 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (- 1 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (- 1 (/ 1 (pow eps 2))))>
#<alt (pow eps 2)>
#<alt (* (pow eps 2) (- 1 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (- 1 (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (- 1 (/ 1 (pow eps 2))))>
#<alt (* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (* 1/12 (/ x eps))>
#<alt (/ (+ (* 1/12 x) (* 1/6 (* eps x))) eps)>
#<alt (/ (+ (* 1/12 x) (* eps (+ (* -1/6 (* (pow eps 2) x)) (* 1/6 x)))) eps)>
#<alt (/ (+ (* 1/12 x) (* eps (+ (* 1/6 x) (* (pow eps 2) (+ (* -1/6 x) (* -1/12 (* eps x))))))) eps)>
#<alt (* -1/12 (* (pow eps 3) x))>
#<alt (* (pow eps 3) (+ (* -1/6 (/ x eps)) (* -1/12 x)))>
#<alt (* (pow eps 3) (+ (* -1/6 (/ x eps)) (+ (* -1/12 x) (* 1/6 (/ x (pow eps 3))))))>
#<alt (* (pow eps 3) (+ (* -1/6 (/ x eps)) (+ (* -1/12 x) (+ (* 1/12 (/ x (pow eps 4))) (* 1/6 (/ x (pow eps 3)))))))>
#<alt (* -1/12 (* (pow eps 3) x))>
#<alt (* -1 (* (pow eps 3) (+ (* 1/12 x) (* 1/6 (/ x eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/6 x) (* 1/6 (/ x (pow eps 2)))) eps)) (* 1/12 x))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/6 x) (+ (* 1/12 (/ x (pow eps 3))) (* 1/6 (/ x (pow eps 2))))) eps)) (* 1/12 x))))>
#<alt (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))>
#<alt (* x (+ (* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))) (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))))>
#<alt (* x (+ (* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))) (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))))>
#<alt (* x (+ (* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))) (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))))>
#<alt (* 1/6 (* (pow x 2) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (* (pow x 2) (+ (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x))))>
#<alt (* (pow x 2) (+ (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x))))>
#<alt (* (pow x 2) (+ (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x))))>
#<alt (* 1/6 (* (pow x 2) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (* (pow x 2) (+ (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x))))>
#<alt (* (pow x 2) (+ (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x))))>
#<alt (* (pow x 2) (+ (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x))))>
#<alt (* 1/12 (/ (pow x 2) eps))>
#<alt (/ (+ (* 1/12 (pow x 2)) (* eps (* x (- (* 1/6 x) 1/2)))) eps)>
#<alt (/ (+ (* 1/12 (pow x 2)) (* eps (+ (* x (- (* 1/6 x) 1/2)) (* (pow eps 2) (* x (+ 1/2 (* -1/6 x))))))) eps)>
#<alt (/ (+ (* 1/12 (pow x 2)) (* eps (+ (* x (- (* 1/6 x) 1/2)) (* (pow eps 2) (+ (* -1/12 (* eps (pow x 2))) (* x (+ 1/2 (* -1/6 x)))))))) eps)>
#<alt (* -1/12 (* (pow eps 3) (pow x 2)))>
#<alt (* (pow eps 3) (+ (* -1/12 (pow x 2)) (/ (* x (+ 1/2 (* -1/6 x))) eps)))>
#<alt (* (pow eps 3) (+ (* -1/12 (pow x 2)) (+ (/ (* x (+ 1/2 (* -1/6 x))) eps) (/ (* x (- (* 1/6 x) 1/2)) (pow eps 3)))))>
#<alt (* (pow eps 3) (+ (* -1/12 (pow x 2)) (+ (* 1/12 (/ (pow x 2) (pow eps 4))) (+ (/ (* x (+ 1/2 (* -1/6 x))) eps) (/ (* x (- (* 1/6 x) 1/2)) (pow eps 3))))))>
#<alt (* -1/12 (* (pow eps 3) (pow x 2)))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (* x (+ 1/2 (* -1/6 x))) eps)) (* 1/12 (pow x 2)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* x (+ 1/2 (* -1/6 x))) (/ (* x (- (* 1/6 x) 1/2)) (pow eps 2))) eps)) (* 1/12 (pow x 2)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* 1/12 (/ (pow x 2) (pow eps 3))) (+ (* x (+ 1/2 (* -1/6 x))) (/ (* x (- (* 1/6 x) 1/2)) (pow eps 2)))) eps)) (* 1/12 (pow x 2)))))>
Calls

150 calls:

TimeVariablePointExpression
11.0ms
x
@-inf
(* x (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* (* -1/6 x) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))
4.0ms
eps
@inf
(- (+ 1/2 (/ 1/2 eps)) (* (+ 1 (* x (+ (- -1 eps) (* x (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* (* -1/6 x) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))) (+ (/ 1/2 eps) -1/2)))
2.0ms
eps
@0
(* x eps)
1.0ms
x
@inf
(* (* -1/6 x) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))
1.0ms
x
@0
(* x (+ (* (* 1/6 x) (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (+ (/ 1/2 eps) -1/2))) (* 1/2 (+ (* (+ (/ 1/2 eps) -1/2) (* (- -1 eps) (+ 1 eps))) (* (* (+ eps -1) (+ eps -1)) (+ 1/2 (/ 1/2 eps)))))))

rewrite304.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
3380×*-lowering-*.f32
3380×*-lowering-*.f64
2016×sum4-define
1610×/-lowering-/.f32
1610×/-lowering-/.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062503
1457489
25664484
08336484
Stop Event
1×iter limit
1×node limit
Counts
28 → 371
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)
(* (* 1/4 (* x (* eps eps))) x)
(* 1/4 (* x (* eps eps)))
(* x (* eps eps))
(* eps eps)
(+ 1 (* x (* (* eps eps) (* x (+ 1/2 (* x -1/3))))))
(* x (* (* eps eps) (* x (+ 1/2 (* x -1/3)))))
(* (* eps eps) (* x (+ 1/2 (* x -1/3))))
(+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* (* -1/6 x) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps)))))
(- (+ 1/2 (/ 1/2 eps)) (* (+ 1 (* x (+ (- -1 eps) (* x (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* (* -1/6 x) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))))) (+ (/ 1/2 eps) -1/2)))
(+ 1/2 (/ 1/2 eps))
(/ 1/2 eps)
(+ (* (* 1/6 x) (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (+ (/ 1/2 eps) -1/2))) (* 1/2 (+ (* (+ (/ 1/2 eps) -1/2) (* (- -1 eps) (+ 1 eps))) (* (* (+ eps -1) (+ eps -1)) (+ 1/2 (/ 1/2 eps))))))
(+ 1 (* x (+ (* x (+ (* (* 1/6 x) (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (+ (/ 1/2 eps) -1/2))) (* 1/2 (+ (* (+ (/ 1/2 eps) -1/2) (* (- -1 eps) (+ 1 eps))) (* (* (+ eps -1) (+ eps -1)) (+ 1/2 (/ 1/2 eps))))))) (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))))
(* x (+ (* x (+ (* (* 1/6 x) (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (+ (/ 1/2 eps) -1/2))) (* 1/2 (+ (* (+ (/ 1/2 eps) -1/2) (* (- -1 eps) (+ 1 eps))) (* (* (+ eps -1) (+ eps -1)) (+ 1/2 (/ 1/2 eps))))))) (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2)))))
(+ (* x (+ (* (* 1/6 x) (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (+ (/ 1/2 eps) -1/2))) (* 1/2 (+ (* (+ (/ 1/2 eps) -1/2) (* (- -1 eps) (+ 1 eps))) (* (* (+ eps -1) (+ eps -1)) (+ 1/2 (/ 1/2 eps))))))) (+ (* (+ eps -1) (+ 1/2 (/ 1/2 eps))) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))))
(* x (- -1 eps))
(exp (* x (- -1 eps)))
(* x -1/3)
(* x (+ 1/2 (* x -1/3)))
(* (* -1/6 x) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))
(* x (+ (* (* 1/2 (+ 1 eps)) (+ 1 eps)) (* (* -1/6 x) (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))))))
(+ (* (+ (/ 1/2 eps) -1/2) (* (- -1 eps) (+ 1 eps))) (* (* (+ eps -1) (+ eps -1)) (+ 1/2 (/ 1/2 eps))))
(* (* 1/6 x) (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (+ (/ 1/2 eps) -1/2)))
(* x (+ (* (* 1/6 x) (* (* (+ 1 eps) (* (+ 1 eps) (+ 1 eps))) (+ (/ 1/2 eps) -1/2))) (* 1/2 (+ (* (+ (/ 1/2 eps) -1/2) (* (- -1 eps) (+ 1 eps))) (* (* (+ eps -1) (+ eps -1)) (+ 1/2 (/ 1/2 eps)))))))
Outputs
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (+.f64 (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 #s(literal -1 binary64) eps)))) #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 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)))) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (+.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x eps) (*.f64 x eps))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
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(*.f64 (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x #s(literal 1/6 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))))))) x)

simplify387.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
6410×+-lowering-+.f64
6410×+-lowering-+.f32
5418×*-lowering-*.f32
5418×*-lowering-*.f64
1606×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08819837
132788939
085948939
Stop Event
1×iter limit
1×node limit
Counts
600 → 600
Calls
Call 1
Inputs
1
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1
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1
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(* (pow x 2) (+ (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))) (+ (* 1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x)) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (pow x 2)) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (pow x 2))))))
(* 1/6 (* (pow x 2) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(* (pow x 2) (+ (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))) x)) (* -1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) x)) (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))) x)) (* -1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) x)) (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))
(* 1/12 (/ (pow x 2) eps))
(/ (+ (* 1/12 (pow x 2)) (* eps (* x (- (* 1/6 x) 1/2)))) eps)
(/ (+ (* 1/12 (pow x 2)) (* eps (+ (* x (- (* 1/6 x) 1/2)) (* (pow eps 2) (* x (+ 1/2 (* -1/6 x))))))) eps)
(/ (+ (* 1/12 (pow x 2)) (* eps (+ (* x (- (* 1/6 x) 1/2)) (* (pow eps 2) (+ (* -1/12 (* eps (pow x 2))) (* x (+ 1/2 (* -1/6 x)))))))) eps)
(* -1/12 (* (pow eps 3) (pow x 2)))
(* (pow eps 3) (+ (* -1/12 (pow x 2)) (/ (* x (+ 1/2 (* -1/6 x))) eps)))
(* (pow eps 3) (+ (* -1/12 (pow x 2)) (+ (/ (* x (+ 1/2 (* -1/6 x))) eps) (/ (* x (- (* 1/6 x) 1/2)) (pow eps 3)))))
(* (pow eps 3) (+ (* -1/12 (pow x 2)) (+ (* 1/12 (/ (pow x 2) (pow eps 4))) (+ (/ (* x (+ 1/2 (* -1/6 x))) eps) (/ (* x (- (* 1/6 x) 1/2)) (pow eps 3))))))
(* -1/12 (* (pow eps 3) (pow x 2)))
(* -1 (* (pow eps 3) (+ (* -1 (/ (* x (+ 1/2 (* -1/6 x))) eps)) (* 1/12 (pow x 2)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* x (+ 1/2 (* -1/6 x))) (/ (* x (- (* 1/6 x) 1/2)) (pow eps 2))) eps)) (* 1/12 (pow x 2)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* 1/12 (/ (pow x 2) (pow eps 3))) (+ (* x (+ 1/2 (* -1/6 x))) (/ (* x (- (* 1/6 x) 1/2)) (pow eps 2)))) eps)) (* 1/12 (pow x 2)))))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 x)
(+ (* -1 x) (* -1 (* eps x)))
(+ (* -1 x) (* -1 (* eps x)))
(+ (* -1 x) (* -1 (* eps x)))
(* -1 (* eps x))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* -1 (* eps x))
(* -1 (* eps (+ x (/ x eps))))
(* -1 (* eps (+ x (/ x eps))))
(* -1 (* eps (+ x (/ x eps))))
1
(+ 1 (* -1 (* x (+ 1 eps))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 x))
(+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x))))))
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))))))
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* -1/3 x)
(* 1/2 x)
(* x (+ 1/2 (* -1/3 x)))
(* x (+ 1/2 (* -1/3 x)))
(* x (+ 1/2 (* -1/3 x)))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/3))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/3))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/3))
(* -1/3 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/3))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/3))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/3))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(* -1/6 (* x (pow (+ 1 eps) 3)))
(* -1/6 x)
(+ (* -1/2 (* eps x)) (* -1/6 x))
(+ (* -1/6 x) (* eps (+ (* -1/2 x) (* -1/2 (* eps x)))))
(+ (* -1/6 x) (* eps (+ (* -1/2 x) (* eps (+ (* -1/2 x) (* -1/6 (* eps x)))))))
(* -1/6 (* (pow eps 3) x))
(* (pow eps 3) (+ (* -1/2 (/ x eps)) (* -1/6 x)))
(* (pow eps 3) (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ x (pow eps 2))) (* -1/6 x))))
(* (pow eps 3) (+ (* -1/2 (/ x eps)) (+ (* -1/2 (/ x (pow eps 2))) (+ (* -1/6 x) (* -1/6 (/ x (pow eps 3)))))))
(* -1/6 (* (pow eps 3) x))
(* -1 (* (pow eps 3) (+ (* 1/6 x) (* 1/2 (/ x eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 x) (* -1/2 (/ x eps))) eps)) (* 1/6 x))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ x eps)) (* 1/2 x)) eps)) (* -1/2 x)) eps)) (* 1/6 x))))
(* 1/2 (* x (pow (+ 1 eps) 2)))
(* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))
(* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))
(* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))
(* -1/6 (* (pow x 2) (pow (+ 1 eps) 3)))
(* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))
(* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))
(* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))
(* -1/6 (* (pow x 2) (pow (+ 1 eps) 3)))
(* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))
(* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))
(* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))
(* x (+ 1/2 (* -1/6 x)))
(+ (* eps (* x (+ 1 (* -1/2 x)))) (* x (+ 1/2 (* -1/6 x))))
(+ (* eps (+ (* eps (* x (+ 1/2 (* -1/2 x)))) (* x (+ 1 (* -1/2 x))))) (* x (+ 1/2 (* -1/6 x))))
(+ (* eps (+ (* eps (+ (* -1/6 (* eps (pow x 2))) (* x (+ 1/2 (* -1/2 x))))) (* x (+ 1 (* -1/2 x))))) (* x (+ 1/2 (* -1/6 x))))
(* -1/6 (* (pow eps 3) (pow x 2)))
(* (pow eps 3) (+ (* -1/6 (pow x 2)) (/ (* x (+ 1/2 (* -1/2 x))) eps)))
(* (pow eps 3) (+ (* -1/6 (pow x 2)) (+ (/ (* x (+ 1/2 (* -1/2 x))) eps) (/ (* x (+ 1 (* -1/2 x))) (pow eps 2)))))
(* (pow eps 3) (+ (* -1/6 (pow x 2)) (+ (/ (* x (+ 1/2 (* -1/2 x))) eps) (+ (/ (* x (+ 1/2 (* -1/6 x))) (pow eps 3)) (/ (* x (+ 1 (* -1/2 x))) (pow eps 2))))))
(* -1/6 (* (pow eps 3) (pow x 2)))
(* -1 (* (pow eps 3) (+ (* -1 (/ (* x (+ 1/2 (* -1/2 x))) eps)) (* 1/6 (pow x 2)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* 1/2 x) 1)) eps)) (* x (+ 1/2 (* -1/2 x)))) eps)) (* 1/6 (pow x 2)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (+ 1/2 (* -1/6 x))) eps)) (* x (- (* 1/2 x) 1))) eps)) (* x (+ 1/2 (* -1/2 x)))) eps)) (* 1/6 (pow x 2)))))
-1
(- (pow eps 2) 1)
(- (pow eps 2) 1)
(- (pow eps 2) 1)
(pow eps 2)
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(pow eps 2)
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(* 1/12 (/ x eps))
(/ (+ (* 1/12 x) (* 1/6 (* eps x))) eps)
(/ (+ (* 1/12 x) (* eps (+ (* -1/6 (* (pow eps 2) x)) (* 1/6 x)))) eps)
(/ (+ (* 1/12 x) (* eps (+ (* 1/6 x) (* (pow eps 2) (+ (* -1/6 x) (* -1/12 (* eps x))))))) eps)
(* -1/12 (* (pow eps 3) x))
(* (pow eps 3) (+ (* -1/6 (/ x eps)) (* -1/12 x)))
(* (pow eps 3) (+ (* -1/6 (/ x eps)) (+ (* -1/12 x) (* 1/6 (/ x (pow eps 3))))))
(* (pow eps 3) (+ (* -1/6 (/ x eps)) (+ (* -1/12 x) (+ (* 1/12 (/ x (pow eps 4))) (* 1/6 (/ x (pow eps 3)))))))
(* -1/12 (* (pow eps 3) x))
(* -1 (* (pow eps 3) (+ (* 1/12 x) (* 1/6 (/ x eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/6 x) (* 1/6 (/ x (pow eps 2)))) eps)) (* 1/12 x))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/6 x) (+ (* 1/12 (/ x (pow eps 3))) (* 1/6 (/ x (pow eps 2))))) eps)) (* 1/12 x))))
(* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))
(* x (+ (* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))) (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))))
(* x (+ (* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))) (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))))
(* x (+ (* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))) (* 1/2 (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))))
(* 1/6 (* (pow x 2) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(* (pow x 2) (+ (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x))))
(* (pow x 2) (+ (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x))))
(* (pow x 2) (+ (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x))))
(* 1/6 (* (pow x 2) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(* (pow x 2) (+ (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x))))
(* (pow x 2) (+ (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x))))
(* (pow x 2) (+ (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/2 (/ (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) x))))
(* 1/12 (/ (pow x 2) eps))
(/ (+ (* 1/12 (pow x 2)) (* eps (* x (- (* 1/6 x) 1/2)))) eps)
(/ (+ (* 1/12 (pow x 2)) (* eps (+ (* x (- (* 1/6 x) 1/2)) (* (pow eps 2) (* x (+ 1/2 (* -1/6 x))))))) eps)
(/ (+ (* 1/12 (pow x 2)) (* eps (+ (* x (- (* 1/6 x) 1/2)) (* (pow eps 2) (+ (* -1/12 (* eps (pow x 2))) (* x (+ 1/2 (* -1/6 x)))))))) eps)
(* -1/12 (* (pow eps 3) (pow x 2)))
(* (pow eps 3) (+ (* -1/12 (pow x 2)) (/ (* x (+ 1/2 (* -1/6 x))) eps)))
(* (pow eps 3) (+ (* -1/12 (pow x 2)) (+ (/ (* x (+ 1/2 (* -1/6 x))) eps) (/ (* x (- (* 1/6 x) 1/2)) (pow eps 3)))))
(* (pow eps 3) (+ (* -1/12 (pow x 2)) (+ (* 1/12 (/ (pow x 2) (pow eps 4))) (+ (/ (* x (+ 1/2 (* -1/6 x))) eps) (/ (* x (- (* 1/6 x) 1/2)) (pow eps 3))))))
(* -1/12 (* (pow eps 3) (pow x 2)))
(* -1 (* (pow eps 3) (+ (* -1 (/ (* x (+ 1/2 (* -1/6 x))) eps)) (* 1/12 (pow x 2)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* x (+ 1/2 (* -1/6 x))) (/ (* x (- (* 1/6 x) 1/2)) (pow eps 2))) eps)) (* 1/12 (pow x 2)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* 1/12 (/ (pow x 2) (pow eps 3))) (+ (* x (+ 1/2 (* -1/6 x))) (/ (* x (- (* 1/6 x) 1/2)) (pow eps 2)))) eps)) (* 1/12 (pow x 2)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (+ eps (* -1 (+ 1 eps))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 eps (-.f64 #s(literal -1 binary64) eps)))))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))) (* 1/2 (+ eps (* -1 (+ 1 eps)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 eps eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))))
(+ 1 (* x (+ (* 1/2 (+ eps (* -1 (+ 1 eps)))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3))))) (* 1/2 (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.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 #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 eps (*.f64 eps eps)))))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ 1 (exp (* -1 x))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(+ (* 1/2 (* eps (+ x (* -1 (* x (exp (* -1 x))))))) (* 1/2 (+ 1 (exp (* -1 x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 eps (-.f64 x (*.f64 x (exp.f64 (-.f64 #s(literal 0 binary64) x)))))))
(+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2))))) (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))))))
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(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) eps) (/.f64 (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (*.f64 eps eps)))))))
(* (pow eps 3) (+ (* -1/12 (pow x 2)) (+ (* 1/12 (/ (pow x 2) (pow eps 4))) (+ (/ (* x (+ 1/2 (* -1/6 x))) eps) (/ (* x (- (* 1/6 x) 1/2)) (pow eps 3))))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (pow.f64 eps #s(literal 4 binary64)))) (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) eps) (/.f64 (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (*.f64 eps eps)))))))
(* -1/12 (* (pow eps 3) (pow x 2)))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x x))
(* -1 (* (pow eps 3) (+ (* -1 (/ (* x (+ 1/2 (* -1/6 x))) eps)) (* 1/12 (pow x 2)))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* x (+ 1/2 (* -1/6 x))) (/ (* x (- (* 1/6 x) 1/2)) (pow eps 2))) eps)) (* 1/12 (pow x 2)))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (/.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) (/.f64 (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (*.f64 eps eps)))) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* 1/12 (/ (pow x 2) (pow eps 3))) (+ (* x (+ 1/2 (* -1/6 x))) (/ (* x (- (* 1/6 x) 1/2)) (pow eps 2)))) eps)) (* 1/12 (pow x 2)))))
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (/.f64 (+.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) (/.f64 (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (*.f64 eps eps)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/12 binary64)) (*.f64 eps (*.f64 eps eps)))) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps))))

eval174.0ms (1%)

Compiler

Compiled 66072 to 3751 computations (94.3% saved)

prune121.0ms (0.7%)

Pruning

27 alts after pruning (24 fresh and 3 done)

PrunedKeptTotal
New1171181189
Fresh9615
Picked325
Done011
Total1183271210
Accuracy
100.0%
Counts
1210 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.2%
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
44.1%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) #s(literal 1 binary64)))))
▶31.8%
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
▶10.5%
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))))))) x) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
32.1%
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) (*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) eps)))))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
27.4%
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
51.9%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))
71.8%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x)))
56.8%
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (-.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))))
39.1%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (+.f64 (+.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 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal 1/6 binary64))) x) (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) #s(literal 1/6 binary64))) x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.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 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))))
▶55.8%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) eps)))))
73.5%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) x))))
55.9%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x x))))
63.2%
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))) x)))
63.7%
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
34.9%
(*.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/4 binary64)) eps) eps) x)
20.5%
(*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)))
21.5%
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) x)))
▶34.8%
(*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 eps eps))
20.6%
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64)) (*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) eps))))
44.4%
(*.f64 (*.f64 eps eps) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 eps eps))))))
✓38.9%
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps))) x)
21.8%
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
✓81.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
60.5%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
▶78.3%
(exp.f64 (-.f64 #s(literal 0 binary64) x))
✓46.6%
#s(literal 1 binary64)
Compiler

Compiled 1403 to 721 computations (48.6% saved)

simplify188.0ms (1.1%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) eps)
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
✓cost-diff384
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))))))) x) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
✓cost-diff2304
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))))))) x) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))))
✓cost-diff0
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) eps)))
✓cost-diff0
(*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) eps))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) eps)))))
✓cost-diff128
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) eps))
✓cost-diff0
(+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) eps)
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
✓cost-diff640
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
✓cost-diff0
(*.f64 eps eps)
✓cost-diff0
(*.f64 x #s(literal 1/4 binary64))
✓cost-diff0
(*.f64 x (*.f64 x #s(literal 1/4 binary64)))
✓cost-diff0
(*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 eps eps))
✓cost-diff0
(-.f64 #s(literal 0 binary64) x)
✓cost-diff0
(exp.f64 (-.f64 #s(literal 0 binary64) x))
Rules
5430×*-lowering-*.f32
5430×*-lowering-*.f64
1770×distribute-lft-neg-in
1748×sum3-define
1192×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048660
1181606
2810517
35287384
09330384
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(exp (- 0 x))
(- 0 x)
0
x
(* (* x (* x 1/4)) (* eps eps))
(* x (* x 1/4))
x
(* x 1/4)
1/4
(* eps eps)
eps
(- (+ 1/2 (/ 1/2 eps)) (+ (/ 1/2 eps) -1/2))
(+ 1/2 (/ 1/2 eps))
1/2
(/ 1/2 eps)
eps
(+ (/ 1/2 eps) -1/2)
-1/2
(+ 1 (* x (* (* eps (* eps eps)) (+ (* (* x x) -1/12) (/ (* x (+ 1/2 (* x -1/6))) eps)))))
1
(* x (* (* eps (* eps eps)) (+ (* (* x x) -1/12) (/ (* x (+ 1/2 (* x -1/6))) eps))))
x
(* (* eps (* eps eps)) (+ (* (* x x) -1/12) (/ (* x (+ 1/2 (* x -1/6))) eps)))
(* eps (* eps eps))
eps
(* eps eps)
(+ (* (* x x) -1/12) (/ (* x (+ 1/2 (* x -1/6))) eps))
(* (* x x) -1/12)
(* x x)
-1/12
(/ (* x (+ 1/2 (* x -1/6))) eps)
(* x (+ 1/2 (* x -1/6)))
(+ 1/2 (* x -1/6))
1/2
(* x -1/6)
-1/6
(- (+ 1/2 (/ 1/2 eps)) (* (+ 1 (* x (+ (- -1 eps) (/ (* (* (* (* (+ eps 1) (+ eps 1)) (+ 1/2 (* x (* -1/6 (+ eps 1))))) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1)))))) x) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1))))))))) (+ (/ 1/2 eps) -1/2)))
(+ 1/2 (/ 1/2 eps))
1/2
(/ 1/2 eps)
eps
(* (+ 1 (* x (+ (- -1 eps) (/ (* (* (* (* (+ eps 1) (+ eps 1)) (+ 1/2 (* x (* -1/6 (+ eps 1))))) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1)))))) x) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1))))))))) (+ (/ 1/2 eps) -1/2))
(+ 1 (* x (+ (- -1 eps) (/ (* (* (* (* (+ eps 1) (+ eps 1)) (+ 1/2 (* x (* -1/6 (+ eps 1))))) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1)))))) x) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1)))))))))
1
(* x (+ (- -1 eps) (/ (* (* (* (* (+ eps 1) (+ eps 1)) (+ 1/2 (* x (* -1/6 (+ eps 1))))) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1)))))) x) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1))))))))
x
(+ (- -1 eps) (/ (* (* (* (* (+ eps 1) (+ eps 1)) (+ 1/2 (* x (* -1/6 (+ eps 1))))) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1)))))) x) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1)))))))
(- -1 eps)
-1
(/ (* (* (* (* (+ eps 1) (+ eps 1)) (+ 1/2 (* x (* -1/6 (+ eps 1))))) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1)))))) x) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1))))))
(* (* (* (* (+ eps 1) (+ eps 1)) (+ 1/2 (* x (* -1/6 (+ eps 1))))) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1)))))) x)
(* (* (* (+ eps 1) (+ eps 1)) (+ 1/2 (* x (* -1/6 (+ eps 1))))) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1))))))
(* (* (+ eps 1) (+ eps 1)) (+ 1/2 (* x (* -1/6 (+ eps 1)))))
(* (+ eps 1) (+ eps 1))
(+ eps 1)
(+ 1/2 (* x (* -1/6 (+ eps 1))))
(* x (* -1/6 (+ eps 1)))
(* -1/6 (+ eps 1))
-1/6
(* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1)))))
(- 1/2 (* x (* -1/6 (+ eps 1))))
(+ (/ 1/2 eps) -1/2)
-1/2
Outputs
(exp (- 0 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
x
(* (* x (* x 1/4)) (* eps eps))
(*.f64 x (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 eps eps))))
(* x (* x 1/4))
(*.f64 x (*.f64 x #s(literal 1/4 binary64)))
x
(* x 1/4)
(*.f64 x #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
(* eps eps)
(*.f64 eps eps)
eps
(- (+ 1/2 (/ 1/2 eps)) (+ (/ 1/2 eps) -1/2))
#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)
eps
(+ (/ 1/2 eps) -1/2)
(+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(+ 1 (* x (* (* eps (* eps eps)) (+ (* (* x x) -1/12) (/ (* x (+ 1/2 (* x -1/6))) eps)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal -1/12 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) eps)))))
1
#s(literal 1 binary64)
(* x (* (* eps (* eps eps)) (+ (* (* x x) -1/12) (/ (* x (+ 1/2 (* x -1/6))) eps))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal -1/12 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) eps))))
x
(* (* eps (* eps eps)) (+ (* (* x x) -1/12) (/ (* x (+ 1/2 (* x -1/6))) eps)))
(*.f64 x (*.f64 (+.f64 (*.f64 x #s(literal -1/12 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) eps)) (*.f64 eps (*.f64 eps eps))))
(* eps (* eps eps))
(*.f64 eps (*.f64 eps eps))
eps
(* eps eps)
(*.f64 eps eps)
(+ (* (* x x) -1/12) (/ (* x (+ 1/2 (* x -1/6))) eps))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/12 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) eps)))
(* (* x x) -1/12)
(*.f64 x (*.f64 x #s(literal -1/12 binary64)))
(* x x)
(*.f64 x x)
-1/12
#s(literal -1/12 binary64)
(/ (* x (+ 1/2 (* x -1/6))) eps)
(*.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) eps))
(* 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)
(- (+ 1/2 (/ 1/2 eps)) (* (+ 1 (* x (+ (- -1 eps) (/ (* (* (* (* (+ eps 1) (+ eps 1)) (+ 1/2 (* x (* -1/6 (+ eps 1))))) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1)))))) x) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1))))))))) (+ (/ 1/2 eps) -1/2)))
(+.f64 #s(literal 1 binary64) (*.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 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal -1/6 binary64))))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 eps #s(literal 1 binary64)))))))))
(+ 1/2 (/ 1/2 eps))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
1/2
#s(literal 1/2 binary64)
(/ 1/2 eps)
(/.f64 #s(literal 1/2 binary64) eps)
eps
(* (+ 1 (* x (+ (- -1 eps) (/ (* (* (* (* (+ eps 1) (+ eps 1)) (+ 1/2 (* x (* -1/6 (+ eps 1))))) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1)))))) x) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1))))))))) (+ (/ 1/2 eps) -1/2))
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal -1/6 binary64))))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 eps #s(literal 1 binary64)))))))))
(+ 1 (* x (+ (- -1 eps) (/ (* (* (* (* (+ eps 1) (+ eps 1)) (+ 1/2 (* x (* -1/6 (+ eps 1))))) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1)))))) x) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal -1/6 binary64))))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 eps #s(literal 1 binary64))))))))
1
#s(literal 1 binary64)
(* x (+ (- -1 eps) (/ (* (* (* (* (+ eps 1) (+ eps 1)) (+ 1/2 (* x (* -1/6 (+ eps 1))))) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1)))))) x) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1))))))))
(*.f64 x (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal -1/6 binary64))))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 eps #s(literal 1 binary64)))))))
x
(+ (- -1 eps) (/ (* (* (* (* (+ eps 1) (+ eps 1)) (+ 1/2 (* x (* -1/6 (+ eps 1))))) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1)))))) x) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1)))))))
(-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal -1/6 binary64))))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 eps #s(literal 1 binary64))))))
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
-1
#s(literal -1 binary64)
(/ (* (* (* (* (+ eps 1) (+ eps 1)) (+ 1/2 (* x (* -1/6 (+ eps 1))))) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1)))))) x) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1))))))
(*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal -1/6 binary64)))))))
(* (* (* (* (+ eps 1) (+ eps 1)) (+ 1/2 (* x (* -1/6 (+ eps 1))))) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1)))))) x)
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal -1/6 binary64))))) (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 eps #s(literal -1/6 binary64)))))) (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))))))
(* (* (* (+ eps 1) (+ eps 1)) (+ 1/2 (* x (* -1/6 (+ eps 1))))) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1))))))
(*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal -1/6 binary64))))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 eps #s(literal -1/6 binary64))))))))
(* (* (+ eps 1) (+ eps 1)) (+ 1/2 (* x (* -1/6 (+ eps 1)))))
(*.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 -1/6 binary64))))))
(* (+ eps 1) (+ eps 1))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))
(+ eps 1)
(+.f64 eps #s(literal 1 binary64))
(+ 1/2 (* x (* -1/6 (+ eps 1))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal -1/6 binary64)))))
(* x (* -1/6 (+ eps 1)))
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal -1/6 binary64))))
(* -1/6 (+ eps 1))
(+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal -1/6 binary64)))
-1/6
#s(literal -1/6 binary64)
(* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1)))))
(*.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 -1/6 binary64))))))
(- 1/2 (* x (* -1/6 (+ eps 1))))
(+.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1/6 binary64) (*.f64 eps #s(literal -1/6 binary64)))))
(+ (/ 1/2 eps) -1/2)
(+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)

localize411.0ms (2.5%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy98.1%
(*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))))))) x) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))))))
✓accuracy97.4%
(*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))))))) x)
✓accuracy70.3%
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))))))) x) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
✓accuracy56.4%
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))))))) x) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))))
✓accuracy99.4%
(*.f64 x #s(literal -1/6 binary64))
✓accuracy97.2%
(*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) eps))))
✓accuracy94.8%
(/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) eps)
✓accuracy74.8%
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) eps)))
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) eps)
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))
✓accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
✓accuracy53.5%
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
✓accuracy100.0%
(*.f64 x (*.f64 x #s(literal 1/4 binary64)))
✓accuracy100.0%
(*.f64 x #s(literal 1/4 binary64))
✓accuracy100.0%
(*.f64 eps eps)
✓accuracy80.8%
(*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 eps eps))
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) x)
✓accuracy100.0%
(exp.f64 (-.f64 #s(literal 0 binary64) x))
Results
108.0ms52×2valid
100.0ms74×1valid
91.0ms130×0valid
Compiler

Compiled 743 to 49 computations (93.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 135.0ms
ival-mult: 51.0ms (37.7% of total)
backward-pass: 23.0ms (17% of total)
ival-add: 19.0ms (14% of total)
ival-sub: 14.0ms (10.4% of total)
...c/correct-round.rkt:119:19: 13.0ms (9.6% of total)
ival-div: 10.0ms (7.4% of total)
ival-exp: 3.0ms (2.2% of total)
const: 2.0ms (1.5% of total)

series36.0ms (0.2%)

Counts
20 → 360
Calls
Call 1
Inputs
#<alt (exp (- 0 x))>
#<alt (- 0 x)>
#<alt (* (* x (* x 1/4)) (* eps eps))>
#<alt (* x (* x 1/4))>
#<alt (* x 1/4)>
#<alt (* eps eps)>
#<alt (- (+ 1/2 (/ 1/2 eps)) (+ (/ 1/2 eps) -1/2))>
#<alt (+ 1/2 (/ 1/2 eps))>
#<alt (/ 1/2 eps)>
#<alt (+ (/ 1/2 eps) -1/2)>
#<alt (+ (* (* x x) -1/12) (/ (* x (+ 1/2 (* x -1/6))) eps))>
#<alt (+ 1 (* x (* (* eps (* eps eps)) (+ (* (* x x) -1/12) (/ (* x (+ 1/2 (* x -1/6))) eps)))))>
#<alt (* x (* (* eps (* eps eps)) (+ (* (* x x) -1/12) (/ (* x (+ 1/2 (* x -1/6))) eps))))>
#<alt (* (* eps (* eps eps)) (+ (* (* x x) -1/12) (/ (* x (+ 1/2 (* x -1/6))) eps)))>
#<alt (/ (* (* (* (* (+ eps 1) (+ eps 1)) (+ 1/2 (* x (* -1/6 (+ eps 1))))) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1)))))) x) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1))))))>
#<alt (- (+ 1/2 (/ 1/2 eps)) (* (+ 1 (* x (+ (- -1 eps) (/ (* (* (* (* (+ eps 1) (+ eps 1)) (+ 1/2 (* x (* -1/6 (+ eps 1))))) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1)))))) x) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1))))))))) (+ (/ 1/2 eps) -1/2)))>
#<alt (/ (* x (+ 1/2 (* x -1/6))) eps)>
#<alt (* x -1/6)>
#<alt (* (* (* (* (+ eps 1) (+ eps 1)) (+ 1/2 (* x (* -1/6 (+ eps 1))))) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1)))))) x)>
#<alt (* x (+ (- -1 eps) (/ (* (* (* (* (+ eps 1) (+ eps 1)) (+ 1/2 (* x (* -1/6 (+ eps 1))))) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1)))))) x) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1))))))))>
Outputs
#<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 (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 (pow x 2))>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (* 1/4 x)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt (pow eps 2)>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt (/ 1/2 eps)>
#<alt (/ (+ 1/2 (* 1/2 eps)) eps)>
#<alt (/ (+ 1/2 (* 1/2 eps)) eps)>
#<alt (/ (+ 1/2 (* 1/2 eps)) eps)>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ 1 eps)))>
#<alt (+ 1/2 (* 1/2 (/ 1 eps)))>
#<alt (+ 1/2 (* 1/2 (/ 1 eps)))>
#<alt 1/2>
#<alt (+ 1/2 (* 1/2 (/ 1 eps)))>
#<alt (+ 1/2 (* 1/2 (/ 1 eps)))>
#<alt (+ 1/2 (* 1/2 (/ 1 eps)))>
#<alt (/ 1/2 eps)>
#<alt (/ 1/2 eps)>
#<alt (/ 1/2 eps)>
#<alt (/ 1/2 eps)>
#<alt (/ 1/2 eps)>
#<alt (/ 1/2 eps)>
#<alt (/ 1/2 eps)>
#<alt (/ 1/2 eps)>
#<alt (/ 1/2 eps)>
#<alt (/ 1/2 eps)>
#<alt (/ 1/2 eps)>
#<alt (/ 1/2 eps)>
#<alt (/ 1/2 eps)>
#<alt (/ (+ 1/2 (* -1/2 eps)) eps)>
#<alt (/ (+ 1/2 (* -1/2 eps)) eps)>
#<alt (/ (+ 1/2 (* -1/2 eps)) eps)>
#<alt -1/2>
#<alt (- (* 1/2 (/ 1 eps)) 1/2)>
#<alt (- (* 1/2 (/ 1 eps)) 1/2)>
#<alt (- (* 1/2 (/ 1 eps)) 1/2)>
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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 (* x (* (+ 1/2 (* -1/6 x)) (- 1/2 (* -1/6 x))))>
#<alt (+ (* eps (* x (+ (* -1/6 (* x (- 1/2 (* -1/6 x)))) (* (+ 1/2 (* -1/6 x)) (+ (* 1/6 x) (* 4 (- 1/2 (* -1/6 x)))))))) (* x (* (+ 1/2 (* -1/6 x)) (- 1/2 (* -1/6 x)))))>
#<alt (+ (* eps (+ (* eps (* x (+ (* -1/6 (* x (+ (* 1/6 x) (* 4 (- 1/2 (* -1/6 x)))))) (* (+ 1/2 (* -1/6 x)) (+ (* 2/3 x) (* 6 (- 1/2 (* -1/6 x)))))))) (* x (+ (* -1/6 (* x (- 1/2 (* -1/6 x)))) (* (+ 1/2 (* -1/6 x)) (+ (* 1/6 x) (* 4 (- 1/2 (* -1/6 x))))))))) (* x (* (+ 1/2 (* -1/6 x)) (- 1/2 (* -1/6 x)))))>
#<alt (+ (* eps (+ (* eps (+ (* eps (* x (+ (* -1/6 (* x (+ (* 2/3 x) (* 6 (- 1/2 (* -1/6 x)))))) (* (+ 1/2 (* -1/6 x)) (+ x (* 4 (- 1/2 (* -1/6 x)))))))) (* x (+ (* -1/6 (* x (+ (* 1/6 x) (* 4 (- 1/2 (* -1/6 x)))))) (* (+ 1/2 (* -1/6 x)) (+ (* 2/3 x) (* 6 (- 1/2 (* -1/6 x))))))))) (* x (+ (* -1/6 (* x (- 1/2 (* -1/6 x)))) (* (+ 1/2 (* -1/6 x)) (+ (* 1/6 x) (* 4 (- 1/2 (* -1/6 x))))))))) (* x (* (+ 1/2 (* -1/6 x)) (- 1/2 (* -1/6 x)))))>
#<alt (* -1/36 (* (pow eps 6) (pow x 3)))>
#<alt (* (pow eps 6) (+ (* -1/36 (pow x 3)) (/ (* x (+ (* -1/6 (* x (- (+ 1/2 (* 2/3 x)) (* -1/6 x)))) (* 1/6 (* x (+ 1/2 (* -1/6 x)))))) eps)))>
#<alt (* (pow eps 6) (+ (* -1/36 (pow x 3)) (+ (/ (* x (+ (* -1/6 (* x (+ x (* 4 (- 1/2 (* -1/6 x)))))) (* (+ 1/2 (* -1/6 x)) (- (+ 1/2 (* 2/3 x)) (* -1/6 x))))) (pow eps 2)) (/ (* x (+ (* -1/6 (* x (- (+ 1/2 (* 2/3 x)) (* -1/6 x)))) (* 1/6 (* x (+ 1/2 (* -1/6 x)))))) eps))))>
#<alt (* (pow eps 6) (+ (* -1/36 (pow x 3)) (+ (/ (* x (+ (* -1/6 (* x (+ x (* 4 (- 1/2 (* -1/6 x)))))) (* (+ 1/2 (* -1/6 x)) (- (+ 1/2 (* 2/3 x)) (* -1/6 x))))) (pow eps 2)) (+ (/ (* x (+ (* -1/6 (* x (+ (* 2/3 x) (* 6 (- 1/2 (* -1/6 x)))))) (* (+ 1/2 (* -1/6 x)) (+ x (* 4 (- 1/2 (* -1/6 x))))))) (pow eps 3)) (/ (* x (+ (* -1/6 (* x (- (+ 1/2 (* 2/3 x)) (* -1/6 x)))) (* 1/6 (* x (+ 1/2 (* -1/6 x)))))) eps)))))>
#<alt (* -1/36 (* (pow eps 6) (pow x 3)))>
#<alt (* (pow eps 6) (+ (* -1 (/ (* x (+ (* -1/6 (* x (+ 1/2 (* -1/6 x)))) (* 1/6 (* x (- (+ 1/2 (* 2/3 x)) (* -1/6 x)))))) eps)) (* -1/36 (pow x 3))))>
#<alt (* (pow eps 6) (+ (* -1 (/ (+ (* -1 (/ (* x (+ (* 1/6 (* x (+ (* -4 (- 1/2 (* -1/6 x))) (* -1 x)))) (* (+ 1/2 (* -1/6 x)) (- (+ 1/2 (* 2/3 x)) (* -1/6 x))))) eps)) (* x (+ (* -1/6 (* x (+ 1/2 (* -1/6 x)))) (* 1/6 (* x (- (+ 1/2 (* 2/3 x)) (* -1/6 x))))))) eps)) (* -1/36 (pow x 3))))>
#<alt (* (pow eps 6) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (+ (* 1/6 (* x (+ (* 2/3 x) (* 6 (- 1/2 (* -1/6 x)))))) (* (+ 1/2 (* -1/6 x)) (+ (* -4 (- 1/2 (* -1/6 x))) (* -1 x))))) eps)) (* x (+ (* 1/6 (* x (+ (* -4 (- 1/2 (* -1/6 x))) (* -1 x)))) (* (+ 1/2 (* -1/6 x)) (- (+ 1/2 (* 2/3 x)) (* -1/6 x)))))) eps)) (* x (+ (* -1/6 (* x (+ 1/2 (* -1/6 x)))) (* 1/6 (* x (- (+ 1/2 (* 2/3 x)) (* -1/6 x))))))) eps)) (* -1/36 (pow x 3))))>
#<alt (* 1/4 (* x (pow (+ 1 eps) 4)))>
#<alt (* x (+ (* 1/4 (pow (+ 1 eps) 4)) (* x (+ (* -1/12 (pow (+ 1 eps) 5)) (* 1/12 (pow (+ 1 eps) 5))))))>
#<alt (* x (+ (* 1/4 (pow (+ 1 eps) 4)) (* x (+ (* -1/12 (pow (+ 1 eps) 5)) (+ (* -1/36 (* x (pow (+ 1 eps) 6))) (* 1/12 (pow (+ 1 eps) 5)))))))>
#<alt (* x (+ (* 1/4 (pow (+ 1 eps) 4)) (* x (+ (* -1/12 (pow (+ 1 eps) 5)) (+ (* -1/36 (* x (pow (+ 1 eps) 6))) (* 1/12 (pow (+ 1 eps) 5)))))))>
#<alt (* -1/36 (* (pow x 3) (pow (+ 1 eps) 6)))>
#<alt (* (pow x 3) (+ (* -1/12 (/ (pow (+ 1 eps) 5) x)) (+ (* -1/36 (pow (+ 1 eps) 6)) (* 1/12 (/ (pow (+ 1 eps) 5) x)))))>
#<alt (* (pow x 3) (+ (* -1/12 (/ (pow (+ 1 eps) 5) x)) (+ (* -1/36 (pow (+ 1 eps) 6)) (+ (* 1/12 (/ (pow (+ 1 eps) 5) x)) (* 1/4 (/ (pow (+ 1 eps) 4) (pow x 2)))))))>
#<alt (* (pow x 3) (+ (* -1/12 (/ (pow (+ 1 eps) 5) x)) (+ (* -1/36 (pow (+ 1 eps) 6)) (+ (* 1/12 (/ (pow (+ 1 eps) 5) x)) (* 1/4 (/ (pow (+ 1 eps) 4) (pow x 2)))))))>
#<alt (* -1/36 (* (pow x 3) (pow (+ 1 eps) 6)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/12 (/ (pow (+ 1 eps) 5) x)) (+ (* 1/36 (pow (+ 1 eps) 6)) (* 1/12 (/ (pow (+ 1 eps) 5) x))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (+ (* -1/12 (pow (+ 1 eps) 5)) (* 1/12 (pow (+ 1 eps) 5)))) (* 1/4 (/ (pow (+ 1 eps) 4) x))) x)) (* 1/36 (pow (+ 1 eps) 6)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (+ (* -1/12 (pow (+ 1 eps) 5)) (* 1/12 (pow (+ 1 eps) 5)))) (* 1/4 (/ (pow (+ 1 eps) 4) x))) x)) (* 1/36 (pow (+ 1 eps) 6)))))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2)))))>
#<alt (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))))>
#<alt (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))))>
#<alt (* -1/6 (* (pow x 3) (pow (+ 1 eps) 3)))>
#<alt (* (pow x 3) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))>
#<alt (* (pow x 3) (+ (* -1 (/ (+ 1 eps) (pow x 2))) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x)))))>
#<alt (* (pow x 3) (+ (* -1 (/ (+ 1 eps) (pow x 2))) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x)))))>
#<alt (* -1/6 (* (pow x 3) (pow (+ 1 eps) 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow (+ 1 eps) 2) x)) (* 1/6 (pow (+ 1 eps) 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))) x)) (* 1/6 (pow (+ 1 eps) 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))) x)) (* 1/6 (pow (+ 1 eps) 3)))))>
#<alt (* x (- (* x (+ 1/2 (* -1/6 x))) 1))>
#<alt (+ (* eps (* x (- (* x (+ (* -1/6 x) (* 2 (+ 1/2 (* -1/6 x))))) 1))) (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (+ (* eps (+ (* eps (* (pow x 2) (+ 1/2 (+ (* -1/3 x) (* -1/6 x))))) (* x (- (* x (+ (* -1/6 x) (* 2 (+ 1/2 (* -1/6 x))))) 1)))) (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (+ (* eps (+ (* eps (+ (* -1/6 (* eps (pow x 3))) (* (pow x 2) (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))))) (* x (- (* x (+ (* -1/6 x) (* 2 (+ 1/2 (* -1/6 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 (+ (* -1/3 x) (* -1/6 x)))) eps)))>
#<alt (* (pow eps 3) (+ (* -1/6 (pow x 3)) (+ (/ (* x (- (* x (+ (* -1/6 x) (* 2 (+ 1/2 (* -1/6 x))))) 1)) (pow eps 2)) (/ (* (pow x 2) (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))) eps))))>
#<alt (* (pow eps 3) (+ (* -1/6 (pow x 3)) (+ (/ (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) (pow eps 3)) (+ (/ (* x (- (* x (+ (* -1/6 x) (* 2 (+ 1/2 (* -1/6 x))))) 1)) (pow eps 2)) (/ (* (pow x 2) (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))) eps)))))>
#<alt (* -1/6 (* (pow eps 3) (pow x 3)))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (* (pow x 2) (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))) eps)) (* 1/6 (pow x 3)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (* x (+ 1 (* x (+ (* -2 (+ 1/2 (* -1/6 x))) (* 1/6 x))))) eps)) (* (pow x 2) (+ 1/2 (+ (* -1/3 x) (* -1/6 x))))) eps)) (* 1/6 (pow x 3)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) eps)) (* x (+ 1 (* x (+ (* -2 (+ 1/2 (* -1/6 x))) (* 1/6 x)))))) eps)) (* (pow x 2) (+ 1/2 (+ (* -1/3 x) (* -1/6 x))))) eps)) (* 1/6 (pow x 3)))))>
Calls

90 calls:

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

rewrite408.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
4138×*-lowering-*.f32
4138×*-lowering-*.f64
2638×fma-lowering-fma.f32
2638×fma-lowering-fma.f64
1684×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048322
1348296
24110269
08863269
Stop Event
1×iter limit
1×node limit
Counts
20 → 431
Calls
Call 1
Inputs
(exp (- 0 x))
(- 0 x)
(* (* x (* x 1/4)) (* eps eps))
(* x (* x 1/4))
(* x 1/4)
(* eps eps)
(- (+ 1/2 (/ 1/2 eps)) (+ (/ 1/2 eps) -1/2))
(+ 1/2 (/ 1/2 eps))
(/ 1/2 eps)
(+ (/ 1/2 eps) -1/2)
(+ (* (* x x) -1/12) (/ (* x (+ 1/2 (* x -1/6))) eps))
(+ 1 (* x (* (* eps (* eps eps)) (+ (* (* x x) -1/12) (/ (* x (+ 1/2 (* x -1/6))) eps)))))
(* x (* (* eps (* eps eps)) (+ (* (* x x) -1/12) (/ (* x (+ 1/2 (* x -1/6))) eps))))
(* (* eps (* eps eps)) (+ (* (* x x) -1/12) (/ (* x (+ 1/2 (* x -1/6))) eps)))
(/ (* (* (* (* (+ eps 1) (+ eps 1)) (+ 1/2 (* x (* -1/6 (+ eps 1))))) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1)))))) x) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1))))))
(- (+ 1/2 (/ 1/2 eps)) (* (+ 1 (* x (+ (- -1 eps) (/ (* (* (* (* (+ eps 1) (+ eps 1)) (+ 1/2 (* x (* -1/6 (+ eps 1))))) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1)))))) x) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1))))))))) (+ (/ 1/2 eps) -1/2)))
(/ (* x (+ 1/2 (* x -1/6))) eps)
(* x -1/6)
(* (* (* (* (+ eps 1) (+ eps 1)) (+ 1/2 (* x (* -1/6 (+ eps 1))))) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1)))))) x)
(* x (+ (- -1 eps) (/ (* (* (* (* (+ eps 1) (+ eps 1)) (+ 1/2 (* x (* -1/6 (+ eps 1))))) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1)))))) x) (* (* (+ eps 1) (+ eps 1)) (- 1/2 (* x (* -1/6 (+ eps 1))))))))
Outputs
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (/.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))
(+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(neg.f64 x)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (*.f64 x x))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) x)
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)))
(pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 eps eps))))
(*.f64 (*.f64 x #s(literal 1/4 binary64)) (*.f64 x (*.f64 eps eps)))
(*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 eps eps))
(*.f64 eps (*.f64 x (*.f64 (*.f64 x #s(literal 1/4 binary64)) eps)))
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))
(*.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (*.f64 eps eps)))
(*.f64 (*.f64 x (*.f64 (*.f64 x #s(literal 1/4 binary64)) eps)) eps)
(*.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 eps eps))) x)
(*.f64 (*.f64 (*.f64 eps eps) x) (*.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 eps eps) (*.f64 x x)) #s(literal 1/4 binary64))
(*.f64 x (*.f64 x #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/4 binary64) (*.f64 x x))
(*.f64 (*.f64 x #s(literal 1/4 binary64)) x)
(*.f64 (*.f64 x x) #s(literal 1/4 binary64))
(*.f64 x #s(literal 1/4 binary64))
(*.f64 #s(literal 1/4 binary64) x)
(exp.f64 (*.f64 (log.f64 eps) #s(literal 2 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(*.f64 eps eps)
(*.f64 (*.f64 eps eps) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 eps eps))
(*.f64 (pow.f64 eps #s(literal 1 binary64)) (pow.f64 eps #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(+.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(+.f64 (/.f64 #s(literal 1/2 binary64) eps) (-.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (-.f64 #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 (/.f64 #s(literal 1/2 binary64) eps) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) #s(literal 1/2 binary64))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) #s(literal -1/2 binary64))
(-.f64 (/.f64 (*.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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (+.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 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 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 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 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 1/2 binary64) eps) #s(literal -1/2 binary64)))) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
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simplify391.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
6356×*-lowering-*.f32
6356×*-lowering-*.f64
4574×+-lowering-+.f64
4574×+-lowering-+.f32
1640×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06095718
122634950
083754950
Stop Event
1×iter limit
1×node limit
Counts
360 → 360
Calls
Call 1
Inputs
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
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(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 (pow x 2))
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(* 1/4 x)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
1
1
1
1
1
1
1
1
1
1
1
1
(/ 1/2 eps)
(/ (+ 1/2 (* 1/2 eps)) eps)
(/ (+ 1/2 (* 1/2 eps)) eps)
(/ (+ 1/2 (* 1/2 eps)) eps)
1/2
(+ 1/2 (* 1/2 (/ 1 eps)))
(+ 1/2 (* 1/2 (/ 1 eps)))
(+ 1/2 (* 1/2 (/ 1 eps)))
1/2
(+ 1/2 (* 1/2 (/ 1 eps)))
(+ 1/2 (* 1/2 (/ 1 eps)))
(+ 1/2 (* 1/2 (/ 1 eps)))
(/ 1/2 eps)
(/ 1/2 eps)
(/ 1/2 eps)
(/ 1/2 eps)
(/ 1/2 eps)
(/ 1/2 eps)
(/ 1/2 eps)
(/ 1/2 eps)
(/ 1/2 eps)
(/ 1/2 eps)
(/ 1/2 eps)
(/ 1/2 eps)
(/ 1/2 eps)
(/ (+ 1/2 (* -1/2 eps)) eps)
(/ (+ 1/2 (* -1/2 eps)) eps)
(/ (+ 1/2 (* -1/2 eps)) eps)
-1/2
(- (* 1/2 (/ 1 eps)) 1/2)
(- (* 1/2 (/ 1 eps)) 1/2)
(- (* 1/2 (/ 1 eps)) 1/2)
-1/2
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(- (* 1/2 (/ 1 eps)) 1/2)
(- (* 1/2 (/ 1 eps)) 1/2)
(* 1/2 (/ x eps))
(* x (+ (* -1 (* x (+ 1/12 (* 1/6 (/ 1 eps))))) (* 1/2 (/ 1 eps))))
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(/ (* x (+ 1/2 (* -1/6 x))) eps)
(/ (+ (* -1/12 (* eps (pow x 2))) (* x (+ 1/2 (* -1/6 x)))) eps)
(/ (+ (* -1/12 (* eps (pow x 2))) (* x (+ 1/2 (* -1/6 x)))) eps)
(/ (+ (* -1/12 (* eps (pow x 2))) (* x (+ 1/2 (* -1/6 x)))) eps)
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(+ (* -1/12 (pow x 2)) (/ (* x (+ 1/2 (* -1/6 x))) eps))
(+ (* -1/12 (pow x 2)) (/ (* x (+ 1/2 (* -1/6 x))) eps))
(* -1/12 (pow x 2))
(+ (* -1/12 (pow x 2)) (/ (* x (+ 1/2 (* -1/6 x))) eps))
(+ (* -1/12 (pow x 2)) (/ (* x (+ 1/2 (* -1/6 x))) eps))
(+ (* -1/12 (pow x 2)) (/ (* x (+ 1/2 (* -1/6 x))) eps))
1
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
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(* (pow x 3) (+ (* -1 (* (pow eps 3) (+ 1/12 (* 1/6 (/ 1 eps))))) (* 1/2 (/ (pow eps 2) x))))
(* (pow x 3) (+ (* -1 (* (pow eps 3) (+ 1/12 (* 1/6 (/ 1 eps))))) (+ (* 1/2 (/ (pow eps 2) x)) (/ 1 (pow x 3)))))
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(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))) x)) (* (pow eps 3) (+ 1/12 (* 1/6 (/ 1 eps)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))) x)) (* (pow eps 3) (+ 1/12 (* 1/6 (/ 1 eps)))))))
1
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(* (pow eps 3) (+ (* -1/12 (pow x 3)) (+ (/ 1 (pow eps 3)) (/ (* (pow x 2) (+ 1/2 (* -1/6 x))) eps))))
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(* (pow eps 3) (+ (* -1/6 (pow x 2)) (+ (/ (* x (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))) eps) (/ (* x (+ (* -1/6 x) (* 2 (+ 1/2 (* -1/6 x))))) (pow eps 2)))))
(* (pow eps 3) (+ (* -1/6 (pow x 2)) (+ (/ (* x (+ 1/2 (* -1/6 x))) (pow eps 3)) (+ (/ (* x (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))) eps) (/ (* x (+ (* -1/6 x) (* 2 (+ 1/2 (* -1/6 x))))) (pow eps 2))))))
(* -1/6 (* (pow eps 3) (pow x 2)))
(* -1 (* (pow eps 3) (+ (* -1 (/ (* x (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))) eps)) (* 1/6 (pow x 2)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (* x (+ (* -2 (+ 1/2 (* -1/6 x))) (* 1/6 x))) eps)) (* x (+ 1/2 (+ (* -1/3 x) (* -1/6 x))))) eps)) (* 1/6 (pow x 2)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (+ 1/2 (* -1/6 x))) eps)) (* x (+ (* -2 (+ 1/2 (* -1/6 x))) (* 1/6 x)))) eps)) (* x (+ 1/2 (+ (* -1/3 x) (* -1/6 x))))) eps)) (* 1/6 (pow x 2)))))
(* 1/2 (* x (pow (+ 1 eps) 2)))
(* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))
(* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))
(* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))
(* -1/6 (* (pow x 2) (pow (+ 1 eps) 3)))
(* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))
(* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))
(* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))
(* -1/6 (* (pow x 2) (pow (+ 1 eps) 3)))
(* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))
(* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))
(* (pow x 2) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))
(/ (- 1/2 (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))) eps)
(/ (- (+ 1/2 (* eps (- 1/2 (+ (* -1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (* 1/2 (* x (- (* x (+ (* -1/6 x) (* 2 (+ 1/2 (* -1/6 x))))) 1))))))) (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))) eps)
(/ (- (+ 1/2 (* eps (- (+ 1/2 (* -1 (* eps (+ (* -1/2 (* x (- (* x (+ (* -1/6 x) (* 2 (+ 1/2 (* -1/6 x))))) 1))) (* 1/2 (* (pow x 2) (+ 1/2 (+ (* -1/3 x) (* -1/6 x))))))))) (+ (* -1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (* 1/2 (* x (- (* x (+ (* -1/6 x) (* 2 (+ 1/2 (* -1/6 x))))) 1))))))) (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))) eps)
(/ (- (+ 1/2 (* eps (- (+ 1/2 (* eps (- (* -1 (* eps (+ (* -1/2 (* (pow x 2) (+ 1/2 (+ (* -1/3 x) (* -1/6 x))))) (* -1/12 (pow x 3))))) (+ (* -1/2 (* x (- (* x (+ (* -1/6 x) (* 2 (+ 1/2 (* -1/6 x))))) 1))) (* 1/2 (* (pow x 2) (+ 1/2 (+ (* -1/3 x) (* -1/6 x))))))))) (+ (* -1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (* 1/2 (* x (- (* x (+ (* -1/6 x) (* 2 (+ 1/2 (* -1/6 x))))) 1))))))) (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))) eps)
(* -1/12 (* (pow eps 3) (pow x 3)))
(* (pow eps 3) (- (* -1 (/ (+ (* -1/2 (* (pow x 2) (+ 1/2 (+ (* -1/3 x) (* -1/6 x))))) (* -1/12 (pow x 3))) eps)) (* 1/12 (pow x 3))))
(* (pow eps 3) (- (* -1 (/ (+ (* -1/2 (* x (- (* x (+ (* -1/6 x) (* 2 (+ 1/2 (* -1/6 x))))) 1))) (* 1/2 (* (pow x 2) (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))))) (pow eps 2))) (+ (* -1/2 (/ (* (pow x 2) (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))) eps)) (+ (* -1/12 (/ (pow x 3) eps)) (* 1/12 (pow x 3))))))
(* (pow eps 3) (- (* 1/2 (/ 1 (pow eps 3))) (+ (* -1/2 (/ (* x (- (* x (+ (* -1/6 x) (* 2 (+ 1/2 (* -1/6 x))))) 1)) (pow eps 2))) (+ (* -1/2 (/ (* (pow x 2) (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))) eps)) (+ (* -1/2 (/ (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) (pow eps 3))) (+ (* -1/12 (/ (pow x 3) eps)) (+ (* 1/12 (pow x 3)) (+ (* 1/2 (/ (* x (- (* x (+ (* -1/6 x) (* 2 (+ 1/2 (* -1/6 x))))) 1)) (pow eps 3))) (* 1/2 (/ (* (pow x 2) (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))) (pow eps 2)))))))))))
(* -1/12 (* (pow eps 3) (pow x 3)))
(* -1 (* (pow eps 3) (- (+ (* -1/2 (/ (* (pow x 2) (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))) eps)) (* -1/12 (/ (pow x 3) eps))) (* -1/12 (pow x 3)))))
(* -1 (* (pow eps 3) (- (* -1 (/ (- (+ (* -1/2 (/ (* x (+ 1 (* x (+ (* -2 (+ 1/2 (* -1/6 x))) (* 1/6 x))))) eps)) (* -1/2 (/ (* (pow x 2) (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))) eps))) (+ (* -1/2 (* (pow x 2) (+ 1/2 (+ (* -1/3 x) (* -1/6 x))))) (* -1/12 (pow x 3)))) eps)) (* -1/12 (pow x 3)))))
(* -1 (* (pow eps 3) (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- 1/2 (+ (* -1/2 (* x (+ 1 (* x (+ (* -2 (+ 1/2 (* -1/6 x))) (* 1/6 x)))))) (* -1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))) eps)) (+ (* -1/2 (* x (+ 1 (* x (+ (* -2 (+ 1/2 (* -1/6 x))) (* 1/6 x)))))) (* -1/2 (* (pow x 2) (+ 1/2 (+ (* -1/3 x) (* -1/6 x))))))) eps)) (+ (* -1/2 (* (pow x 2) (+ 1/2 (+ (* -1/3 x) (* -1/6 x))))) (* -1/12 (pow x 3)))) eps)) (* -1/12 (pow x 3)))))
1
(+ 1 (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))
(+ 1 (* x (- (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)))) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))
(+ 1 (* x (- (* x (- (* 1/6 (* x (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))
(* 1/6 (* (pow x 3) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(* (pow x 3) (- (* -1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)) x)) (* -1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))
(* (pow x 3) (- (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (pow x 2)) (+ (* -1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)) x)))))
(* (pow x 3) (- (/ 1 (pow x 3)) (+ (* -1 (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (pow x 2))) (+ (* -1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)) x))))))
(* 1/6 (* (pow x 3) (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))
(* -1 (* (pow x 3) (- (* 1/2 (/ (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)) x)) (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)))) x)) (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))))
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)))) x)) (* 1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2))))))
(* 1/2 (/ x eps))
(* x (+ (* -1/6 (/ x eps)) (* 1/2 (/ 1 eps))))
(* x (+ (* -1/6 (/ x eps)) (* 1/2 (/ 1 eps))))
(* x (+ (* -1/6 (/ x eps)) (* 1/2 (/ 1 eps))))
(* -1/6 (/ (pow x 2) eps))
(* (pow x 2) (- (* 1/2 (/ 1 (* eps x))) (* 1/6 (/ 1 eps))))
(* (pow x 2) (- (* 1/2 (/ 1 (* eps x))) (* 1/6 (/ 1 eps))))
(* (pow x 2) (- (* 1/2 (/ 1 (* eps x))) (* 1/6 (/ 1 eps))))
(* -1/6 (/ (pow x 2) eps))
(* (pow x 2) (- (* 1/2 (/ 1 (* eps x))) (* 1/6 (/ 1 eps))))
(* (pow x 2) (- (* 1/2 (/ 1 (* eps x))) (* 1/6 (/ 1 eps))))
(* (pow x 2) (- (* 1/2 (/ 1 (* eps x))) (* 1/6 (/ 1 eps))))
(/ (* x (+ 1/2 (* -1/6 x))) eps)
(/ (* x (+ 1/2 (* -1/6 x))) eps)
(/ (* x (+ 1/2 (* -1/6 x))) eps)
(/ (* x (+ 1/2 (* -1/6 x))) eps)
(/ (* x (+ 1/2 (* -1/6 x))) eps)
(/ (* x (+ 1/2 (* -1/6 x))) eps)
(/ (* x (+ 1/2 (* -1/6 x))) eps)
(/ (* x (+ 1/2 (* -1/6 x))) eps)
(/ (* x (+ 1/2 (* -1/6 x))) eps)
(/ (* x (+ 1/2 (* -1/6 x))) eps)
(/ (* x (+ 1/2 (* -1/6 x))) eps)
(/ (* x (+ 1/2 (* -1/6 x))) eps)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* -1/6 x)
(* x (* (+ 1/2 (* -1/6 x)) (- 1/2 (* -1/6 x))))
(+ (* eps (* x (+ (* -1/6 (* x (- 1/2 (* -1/6 x)))) (* (+ 1/2 (* -1/6 x)) (+ (* 1/6 x) (* 4 (- 1/2 (* -1/6 x)))))))) (* x (* (+ 1/2 (* -1/6 x)) (- 1/2 (* -1/6 x)))))
(+ (* eps (+ (* eps (* x (+ (* -1/6 (* x (+ (* 1/6 x) (* 4 (- 1/2 (* -1/6 x)))))) (* (+ 1/2 (* -1/6 x)) (+ (* 2/3 x) (* 6 (- 1/2 (* -1/6 x)))))))) (* x (+ (* -1/6 (* x (- 1/2 (* -1/6 x)))) (* (+ 1/2 (* -1/6 x)) (+ (* 1/6 x) (* 4 (- 1/2 (* -1/6 x))))))))) (* x (* (+ 1/2 (* -1/6 x)) (- 1/2 (* -1/6 x)))))
(+ (* eps (+ (* eps (+ (* eps (* x (+ (* -1/6 (* x (+ (* 2/3 x) (* 6 (- 1/2 (* -1/6 x)))))) (* (+ 1/2 (* -1/6 x)) (+ x (* 4 (- 1/2 (* -1/6 x)))))))) (* x (+ (* -1/6 (* x (+ (* 1/6 x) (* 4 (- 1/2 (* -1/6 x)))))) (* (+ 1/2 (* -1/6 x)) (+ (* 2/3 x) (* 6 (- 1/2 (* -1/6 x))))))))) (* x (+ (* -1/6 (* x (- 1/2 (* -1/6 x)))) (* (+ 1/2 (* -1/6 x)) (+ (* 1/6 x) (* 4 (- 1/2 (* -1/6 x))))))))) (* x (* (+ 1/2 (* -1/6 x)) (- 1/2 (* -1/6 x)))))
(* -1/36 (* (pow eps 6) (pow x 3)))
(* (pow eps 6) (+ (* -1/36 (pow x 3)) (/ (* x (+ (* -1/6 (* x (- (+ 1/2 (* 2/3 x)) (* -1/6 x)))) (* 1/6 (* x (+ 1/2 (* -1/6 x)))))) eps)))
(* (pow eps 6) (+ (* -1/36 (pow x 3)) (+ (/ (* x (+ (* -1/6 (* x (+ x (* 4 (- 1/2 (* -1/6 x)))))) (* (+ 1/2 (* -1/6 x)) (- (+ 1/2 (* 2/3 x)) (* -1/6 x))))) (pow eps 2)) (/ (* x (+ (* -1/6 (* x (- (+ 1/2 (* 2/3 x)) (* -1/6 x)))) (* 1/6 (* x (+ 1/2 (* -1/6 x)))))) eps))))
(* (pow eps 6) (+ (* -1/36 (pow x 3)) (+ (/ (* x (+ (* -1/6 (* x (+ x (* 4 (- 1/2 (* -1/6 x)))))) (* (+ 1/2 (* -1/6 x)) (- (+ 1/2 (* 2/3 x)) (* -1/6 x))))) (pow eps 2)) (+ (/ (* x (+ (* -1/6 (* x (+ (* 2/3 x) (* 6 (- 1/2 (* -1/6 x)))))) (* (+ 1/2 (* -1/6 x)) (+ x (* 4 (- 1/2 (* -1/6 x))))))) (pow eps 3)) (/ (* x (+ (* -1/6 (* x (- (+ 1/2 (* 2/3 x)) (* -1/6 x)))) (* 1/6 (* x (+ 1/2 (* -1/6 x)))))) eps)))))
(* -1/36 (* (pow eps 6) (pow x 3)))
(* (pow eps 6) (+ (* -1 (/ (* x (+ (* -1/6 (* x (+ 1/2 (* -1/6 x)))) (* 1/6 (* x (- (+ 1/2 (* 2/3 x)) (* -1/6 x)))))) eps)) (* -1/36 (pow x 3))))
(* (pow eps 6) (+ (* -1 (/ (+ (* -1 (/ (* x (+ (* 1/6 (* x (+ (* -4 (- 1/2 (* -1/6 x))) (* -1 x)))) (* (+ 1/2 (* -1/6 x)) (- (+ 1/2 (* 2/3 x)) (* -1/6 x))))) eps)) (* x (+ (* -1/6 (* x (+ 1/2 (* -1/6 x)))) (* 1/6 (* x (- (+ 1/2 (* 2/3 x)) (* -1/6 x))))))) eps)) (* -1/36 (pow x 3))))
(* (pow eps 6) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (+ (* 1/6 (* x (+ (* 2/3 x) (* 6 (- 1/2 (* -1/6 x)))))) (* (+ 1/2 (* -1/6 x)) (+ (* -4 (- 1/2 (* -1/6 x))) (* -1 x))))) eps)) (* x (+ (* 1/6 (* x (+ (* -4 (- 1/2 (* -1/6 x))) (* -1 x)))) (* (+ 1/2 (* -1/6 x)) (- (+ 1/2 (* 2/3 x)) (* -1/6 x)))))) eps)) (* x (+ (* -1/6 (* x (+ 1/2 (* -1/6 x)))) (* 1/6 (* x (- (+ 1/2 (* 2/3 x)) (* -1/6 x))))))) eps)) (* -1/36 (pow x 3))))
(* 1/4 (* x (pow (+ 1 eps) 4)))
(* x (+ (* 1/4 (pow (+ 1 eps) 4)) (* x (+ (* -1/12 (pow (+ 1 eps) 5)) (* 1/12 (pow (+ 1 eps) 5))))))
(* x (+ (* 1/4 (pow (+ 1 eps) 4)) (* x (+ (* -1/12 (pow (+ 1 eps) 5)) (+ (* -1/36 (* x (pow (+ 1 eps) 6))) (* 1/12 (pow (+ 1 eps) 5)))))))
(* x (+ (* 1/4 (pow (+ 1 eps) 4)) (* x (+ (* -1/12 (pow (+ 1 eps) 5)) (+ (* -1/36 (* x (pow (+ 1 eps) 6))) (* 1/12 (pow (+ 1 eps) 5)))))))
(* -1/36 (* (pow x 3) (pow (+ 1 eps) 6)))
(* (pow x 3) (+ (* -1/12 (/ (pow (+ 1 eps) 5) x)) (+ (* -1/36 (pow (+ 1 eps) 6)) (* 1/12 (/ (pow (+ 1 eps) 5) x)))))
(* (pow x 3) (+ (* -1/12 (/ (pow (+ 1 eps) 5) x)) (+ (* -1/36 (pow (+ 1 eps) 6)) (+ (* 1/12 (/ (pow (+ 1 eps) 5) x)) (* 1/4 (/ (pow (+ 1 eps) 4) (pow x 2)))))))
(* (pow x 3) (+ (* -1/12 (/ (pow (+ 1 eps) 5) x)) (+ (* -1/36 (pow (+ 1 eps) 6)) (+ (* 1/12 (/ (pow (+ 1 eps) 5) x)) (* 1/4 (/ (pow (+ 1 eps) 4) (pow x 2)))))))
(* -1/36 (* (pow x 3) (pow (+ 1 eps) 6)))
(* -1 (* (pow x 3) (+ (* -1/12 (/ (pow (+ 1 eps) 5) x)) (+ (* 1/36 (pow (+ 1 eps) 6)) (* 1/12 (/ (pow (+ 1 eps) 5) x))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (+ (* -1/12 (pow (+ 1 eps) 5)) (* 1/12 (pow (+ 1 eps) 5)))) (* 1/4 (/ (pow (+ 1 eps) 4) x))) x)) (* 1/36 (pow (+ 1 eps) 6)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (+ (* -1/12 (pow (+ 1 eps) 5)) (* 1/12 (pow (+ 1 eps) 5)))) (* 1/4 (/ (pow (+ 1 eps) 4) x))) x)) (* 1/36 (pow (+ 1 eps) 6)))))
(* -1 (* x (+ 1 eps)))
(* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2)))))
(* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))))
(* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2))))))
(* -1/6 (* (pow x 3) (pow (+ 1 eps) 3)))
(* (pow x 3) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x))))
(* (pow x 3) (+ (* -1 (/ (+ 1 eps) (pow x 2))) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x)))))
(* (pow x 3) (+ (* -1 (/ (+ 1 eps) (pow x 2))) (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/2 (/ (pow (+ 1 eps) 2) x)))))
(* -1/6 (* (pow x 3) (pow (+ 1 eps) 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow (+ 1 eps) 2) x)) (* 1/6 (pow (+ 1 eps) 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))) x)) (* 1/6 (pow (+ 1 eps) 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))) x)) (* 1/6 (pow (+ 1 eps) 3)))))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(+ (* eps (* x (- (* x (+ (* -1/6 x) (* 2 (+ 1/2 (* -1/6 x))))) 1))) (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(+ (* eps (+ (* eps (* (pow x 2) (+ 1/2 (+ (* -1/3 x) (* -1/6 x))))) (* x (- (* x (+ (* -1/6 x) (* 2 (+ 1/2 (* -1/6 x))))) 1)))) (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(+ (* eps (+ (* eps (+ (* -1/6 (* eps (pow x 3))) (* (pow x 2) (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))))) (* x (- (* x (+ (* -1/6 x) (* 2 (+ 1/2 (* -1/6 x))))) 1)))) (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(* -1/6 (* (pow eps 3) (pow x 3)))
(* (pow eps 3) (+ (* -1/6 (pow x 3)) (/ (* (pow x 2) (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))) eps)))
(* (pow eps 3) (+ (* -1/6 (pow x 3)) (+ (/ (* x (- (* x (+ (* -1/6 x) (* 2 (+ 1/2 (* -1/6 x))))) 1)) (pow eps 2)) (/ (* (pow x 2) (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))) eps))))
(* (pow eps 3) (+ (* -1/6 (pow x 3)) (+ (/ (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) (pow eps 3)) (+ (/ (* x (- (* x (+ (* -1/6 x) (* 2 (+ 1/2 (* -1/6 x))))) 1)) (pow eps 2)) (/ (* (pow x 2) (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))) eps)))))
(* -1/6 (* (pow eps 3) (pow x 3)))
(* -1 (* (pow eps 3) (+ (* -1 (/ (* (pow x 2) (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))) eps)) (* 1/6 (pow x 3)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (* x (+ 1 (* x (+ (* -2 (+ 1/2 (* -1/6 x))) (* 1/6 x))))) eps)) (* (pow x 2) (+ 1/2 (+ (* -1/3 x) (* -1/6 x))))) eps)) (* 1/6 (pow x 3)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) eps)) (* x (+ 1 (* x (+ (* -2 (+ 1/2 (* -1/6 x))) (* 1/6 x)))))) eps)) (* (pow x 2) (+ 1/2 (+ (* -1/3 x) (* -1/6 x))))) eps)) (* 1/6 (pow x 3)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(+.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))))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(exp (* -1 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* 1/4 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 eps (*.f64 x x)) eps))
(* 1/4 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 eps (*.f64 x x)) eps))
(* 1/4 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 eps (*.f64 x x)) eps))
(* 1/4 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 eps (*.f64 x x)) eps))
(* 1/4 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 eps (*.f64 x x)) eps))
(* 1/4 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 eps (*.f64 x x)) eps))
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(* (pow eps 3) (+ (* -1/6 (pow x 3)) (+ (/ (* x (- (* x (+ (* -1/6 x) (* 2 (+ 1/2 (* -1/6 x))))) 1)) (pow eps 2)) (/ (* (pow x 2) (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))) eps))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) eps) (+.f64 (/.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64))) (*.f64 eps eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))))
(* (pow eps 3) (+ (* -1/6 (pow x 3)) (+ (/ (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) (pow eps 3)) (+ (/ (* x (- (* x (+ (* -1/6 x) (* 2 (+ 1/2 (* -1/6 x))))) 1)) (pow eps 2)) (/ (* (pow x 2) (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))) eps)))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 x (+.f64 (/.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64)) (*.f64 eps (*.f64 eps eps))) (/.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (*.f64 eps eps)))) (+.f64 (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) eps) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))))
(* -1/6 (* (pow eps 3) (pow x 3)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (* (pow x 2) (+ 1/2 (+ (* -1/3 x) (* -1/6 x)))) eps)) (* 1/6 (pow x 3)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (* x (+ 1 (* x (+ (* -2 (+ 1/2 (* -1/6 x))) (* 1/6 x))))) eps)) (* (pow x 2) (+ 1/2 (+ (* -1/3 x) (* -1/6 x))))) eps)) (* 1/6 (pow x 3)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) x))))) eps)) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) eps)) (* x (+ 1 (* x (+ (* -2 (+ 1/2 (* -1/6 x))) (* 1/6 x)))))) eps)) (* (pow x 2) (+ 1/2 (+ (* -1/3 x) (* -1/6 x))))) eps)) (* 1/6 (pow x 3)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1/3 binary64) x))))) (/.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64))) eps)) eps)) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps))))

eval130.0ms (0.8%)

Compiler

Compiled 42921 to 2722 computations (93.7% saved)

prune223.0ms (1.3%)

Pruning

30 alts after pruning (26 fresh and 4 done)

PrunedKeptTotal
New93715952
Fresh81119
Picked415
Done033
Total94930979
Accuracy
100.0%
Counts
979 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
38.1%
(/.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (*.f64 x #s(literal -1/12 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) eps))))) (*.f64 x (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/12 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) eps))) (*.f64 x (*.f64 eps (*.f64 eps eps)))))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/12 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) eps))) (*.f64 x (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64)))
44.1%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) #s(literal 1 binary64)))))
20.8%
(-.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
3.9%
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))))))) x) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))))))) (/.f64 #s(literal 1/2 binary64) eps)))
9.7%
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))))))) x) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))))))) #s(literal -1/2 binary64)))
32.1%
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) (*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) eps)))))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
46.2%
(-.f64 #s(literal 1 binary64) x)
55.8%
(+.f64 (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/12 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) eps))) (*.f64 x (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64))
51.9%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))
55.4%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal -1/12 binary64) (*.f64 x (*.f64 x x)))))
71.8%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x)))
56.8%
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (-.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))))
65.0%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) eps) eps)))
66.1%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) eps))))
55.8%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) eps)))))
73.5%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) x))))
72.6%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps (*.f64 x x)) eps)))
63.7%
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
34.9%
(*.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/4 binary64)) eps) eps) x)
25.7%
(*.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) x) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal -1/6 binary64) eps))) (*.f64 x x))
20.5%
(*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)))
✓34.8%
(*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 eps eps))
21.8%
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal -1/12 binary64) (*.f64 x (*.f64 x x))))
44.4%
(*.f64 (*.f64 eps eps) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 eps eps))))))
✓38.9%
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps))) x)
✓81.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
60.5%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
31.2%
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 eps (*.f64 x x)) eps))
78.3%
(exp.f64 (neg.f64 x))
✓46.6%
#s(literal 1 binary64)
Compiler

Compiled 2606 to 726 computations (72.1% saved)

regimes80.0ms (0.5%)

Counts
63 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 eps (*.f64 x x)) eps))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps))) x)
(*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 eps eps))
(*.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/4 binary64)) eps) eps) x)
(-.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps (*.f64 x x)) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal -1/12 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) eps) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal -1/12 binary64) (*.f64 x (*.f64 x x)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))
(*.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) x) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal -1/6 binary64) eps))) (*.f64 x x))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) eps)))))
(+.f64 (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/12 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) eps))) (*.f64 x (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64)) (*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) eps)))))
(*.f64 (*.f64 eps eps) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 eps eps))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (-.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) 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 #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 x #s(literal -1/6 binary64))) (*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) eps)))))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 eps #s(literal -1 binary64)))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.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 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 eps #s(literal -1 binary64)))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (*.f64 x #s(literal -1/12 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) eps))))) (*.f64 x (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/12 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) eps))) (*.f64 x (*.f64 eps (*.f64 eps eps)))))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/12 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) eps))) (*.f64 x (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))))))) x) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))))))) #s(literal -1/2 binary64)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))))))) x) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))))))) (/.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (+.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)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))))))) x) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))))) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.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 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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.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 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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (+.f64 (+.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 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal 1/6 binary64))) x) (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) #s(literal 1/6 binary64))) x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.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 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))))
(exp.f64 (neg.f64 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 eps #s(literal -1 binary64)))))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal 1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Calls

4 calls:

19.0ms
x
16.0ms
eps
14.0ms
(/.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))
13.0ms
(-.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
98.9%1x
98.9%1eps
98.9%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))
98.9%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)

regimes53.0ms (0.3%)

Counts
60 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 eps (*.f64 x x)) eps))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps))) x)
(*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 eps eps))
(*.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/4 binary64)) eps) eps) x)
(-.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps (*.f64 x x)) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal -1/12 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) eps) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal -1/12 binary64) (*.f64 x (*.f64 x x)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))
(*.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) x) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal -1/6 binary64) eps))) (*.f64 x x))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) eps)))))
(+.f64 (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/12 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) eps))) (*.f64 x (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64)) (*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) eps)))))
(*.f64 (*.f64 eps eps) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 eps eps))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (-.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) 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 #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 x #s(literal -1/6 binary64))) (*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) eps)))))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 eps #s(literal -1 binary64)))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.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 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 eps #s(literal -1 binary64)))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (*.f64 x #s(literal -1/12 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) eps))))) (*.f64 x (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/12 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) eps))) (*.f64 x (*.f64 eps (*.f64 eps eps)))))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/12 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) eps))) (*.f64 x (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))))))) x) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))))))) #s(literal -1/2 binary64)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))))))) x) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))))))) (/.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (+.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)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))))))) x) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))))) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.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 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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.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 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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (+.f64 (+.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 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal 1/6 binary64))) x) (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) #s(literal 1/6 binary64))) x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.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 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))))
(exp.f64 (neg.f64 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 eps #s(literal -1 binary64)))))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal 1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Outputs
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Calls

2 calls:

20.0ms
eps
19.0ms
x
Results
AccuracySegmentsBranch
100.0%2eps
89.4%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes32.0ms (0.2%)

Counts
59 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 eps (*.f64 x x)) eps))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps))) x)
(*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 eps eps))
(*.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/4 binary64)) eps) eps) x)
(-.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps (*.f64 x x)) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal -1/12 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) eps) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal -1/12 binary64) (*.f64 x (*.f64 x x)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))
(*.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) x) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal -1/6 binary64) eps))) (*.f64 x x))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) eps)))))
(+.f64 (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/12 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) eps))) (*.f64 x (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64)) (*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) eps)))))
(*.f64 (*.f64 eps eps) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 eps eps))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (-.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) 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 #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 x #s(literal -1/6 binary64))) (*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) eps)))))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 eps #s(literal -1 binary64)))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.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 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 eps #s(literal -1 binary64)))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (*.f64 x #s(literal -1/12 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) eps))))) (*.f64 x (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/12 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) eps))) (*.f64 x (*.f64 eps (*.f64 eps eps)))))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/12 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) eps))) (*.f64 x (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))))))) x) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))))))) #s(literal -1/2 binary64)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))))))) x) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))))))) (/.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (+.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)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))))))) x) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))))) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.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 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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.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 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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (+.f64 (+.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 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal 1/6 binary64))) x) (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) #s(literal 1/6 binary64))) x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.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 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))))
(exp.f64 (neg.f64 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 eps #s(literal -1 binary64)))))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal 1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
Outputs
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 eps #s(literal -1 binary64)))))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
Calls

1 calls:

16.0ms
eps
Results
AccuracySegmentsBranch
96.8%2eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes31.0ms (0.2%)

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

1 calls:

18.0ms
eps
Results
AccuracySegmentsBranch
92.7%2eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes62.0ms (0.4%)

Counts
49 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 eps (*.f64 x x)) eps))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps))) x)
(*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 eps eps))
(*.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/4 binary64)) eps) eps) x)
(-.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps (*.f64 x x)) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal -1/12 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) eps) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal -1/12 binary64) (*.f64 x (*.f64 x x)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))
(*.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) x) (+.f64 #s(literal -1/12 binary64) (/.f64 #s(literal -1/6 binary64) eps))) (*.f64 x x))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) eps)))))
(+.f64 (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/12 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) eps))) (*.f64 x (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64)) (*.f64 (*.f64 x x) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 (*.f64 x x) #s(literal -1/12 binary64)) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) eps)))))
(*.f64 (*.f64 eps eps) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) (*.f64 (*.f64 x x) (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))) (/.f64 (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 eps eps))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps)))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal -1/3 binary64)) (-.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal 1/2 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 #s(literal -1/6 binary64) 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 #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 x #s(literal -1/6 binary64))) (*.f64 eps (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) eps)))))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 eps #s(literal -1 binary64)))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.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 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 eps #s(literal -1 binary64)))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) eps))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (*.f64 x #s(literal -1/12 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) eps))))) (*.f64 x (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/12 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) eps))) (*.f64 x (*.f64 eps (*.f64 eps eps)))))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/12 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) eps))) (*.f64 x (*.f64 eps (*.f64 eps eps)))) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))))))) x) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))))))) #s(literal -1/2 binary64)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))))))) x) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))))))) (/.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (+.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)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64))))))) x) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal -1/6 binary64) (+.f64 eps #s(literal 1 binary64)))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) x) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))))) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.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 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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.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 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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x (+.f64 (+.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 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal 1/6 binary64))) x) (*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) #s(literal 1/6 binary64))) x)) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.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 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) eps) eps)))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps))) x)
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
Calls

2 calls:

13.0ms
x
13.0ms
eps
Results
AccuracySegmentsBranch
83.3%3x
73.6%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0%)

Counts
20 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 eps (*.f64 x x)) eps))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps))) x)
(*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 eps eps))
(*.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/4 binary64)) eps) eps) x)
(-.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps (*.f64 x x)) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal -1/12 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 eps eps)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) eps))))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps))) x)
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
82.3%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0%)

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

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
83.7%4x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0%)

Counts
17 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 eps (*.f64 x x)) eps))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps))) x)
(*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (*.f64 eps eps))
(*.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/4 binary64)) eps) eps) x)
(-.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps (*.f64 x x)) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal -1/12 binary64) (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))) x)))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps))) x)
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
82.0%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
82.0%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
81.1%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0%)

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

2 calls:

3.0ms
eps
3.0ms
x
Results
AccuracySegmentsBranch
65.7%2eps
78.2%4x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

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

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
77.9%4x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

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

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
75.5%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
71.4%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.5b remaining (-1.4%)

Threshold costs -0.5b (-1.4%)

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

2 calls:

2.0ms
eps
1.0ms
x
Results
AccuracySegmentsBranch
46.6%1eps
46.6%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch27.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
23.0ms
5.481137012644924e-5
0.000376438797008915
Results
12.0ms96×0valid
7.0ms23×0unsamplable
Compiler

Compiled 198 to 149 computations (24.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 7.0ms (47.8% of total)
ival-sub: 2.0ms (13.6% of total)
ival-div: 2.0ms (13.6% of total)
ival-add: 1.0ms (6.8% of total)
ival-exp: 1.0ms (6.8% of total)
ival-neg: 1.0ms (6.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch24.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
20.0ms
5.481137012644924e-5
0.000376438797008915
Results
13.0ms96×0valid
2.0ms18×0unsamplable
Compiler

Compiled 408 to 221 computations (45.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 3.0ms (29.3% of total)
ival-sub: 2.0ms (19.5% of total)
ival-div: 2.0ms (19.5% of total)
ival-exp: 2.0ms (19.5% of total)
ival-add: 1.0ms (9.8% of total)
ival-neg: 1.0ms (9.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch25.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
22.0ms
3.059576534325007e+57
3.517563626707545e+60
Results
17.0ms128×0valid
Compiler

Compiled 596 to 303 computations (49.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 3.0ms (23.9% of total)
ival-mult: 3.0ms (23.9% of total)
ival-sub: 2.0ms (15.9% of total)
ival-exp: 2.0ms (15.9% of total)
ival-add: 1.0ms (8% of total)
ival-neg: 1.0ms (8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch66.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
1.3537992713601974e+115
3.4749702164534743e+115
46.0ms
0.018607992103147595
2289.330299378821
Results
20.0ms157×0valid
16.0ms44×1valid
14.0ms23×2valid
Compiler

Compiled 436 to 297 computations (31.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-exp: 9.0ms (23.4% of total)
ival-mult: 8.0ms (20.8% of total)
ival-div: 5.0ms (13% of total)
ival-sub: 5.0ms (13% of total)
ival-neg: 5.0ms (13% of total)
backward-pass: 3.0ms (7.8% of total)
ival-add: 3.0ms (7.8% of total)
const: 1.0ms (2.6% of total)

bsearch65.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
1.3537992713601974e+115
3.4749702164534743e+115
46.0ms
0.018607992103147595
2289.330299378821
Results
21.0ms159×0valid
15.0ms24×2valid
15.0ms41×1valid
Compiler

Compiled 436 to 297 computations (31.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-exp: 10.0ms (25.7% of total)
ival-mult: 8.0ms (20.6% of total)
ival-div: 5.0ms (12.9% of total)
ival-sub: 5.0ms (12.9% of total)
ival-add: 5.0ms (12.9% of total)
backward-pass: 3.0ms (7.7% of total)
ival-neg: 3.0ms (7.7% of total)
const: 1.0ms (2.6% of total)

bsearch122.0ms (0.7%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
1.3537992713601974e+115
3.4749702164534743e+115
56.0ms
0.018607992103147595
2289.330299378821
39.0ms
-1.6930427269649544e-130
-1.8042098944105538e-134
Results
40.0ms86×1valid
33.0ms221×0valid
26.0ms45×2valid
Compiler

Compiled 724 to 497 computations (31.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-sub: 19.0ms (24.1% of total)
ival-div: 13.0ms (16.5% of total)
ival-exp: 13.0ms (16.5% of total)
ival-mult: 13.0ms (16.5% of total)
backward-pass: 7.0ms (8.9% of total)
ival-add: 7.0ms (8.9% of total)
ival-neg: 5.0ms (6.4% of total)
const: 1.0ms (1.3% of total)

bsearch76.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
22.0ms
1.3537992713601974e+115
3.4749702164534743e+115
47.0ms
0.018607992103147595
2289.330299378821
Results
33.0ms156×0valid
15.0ms27×2valid
13.0ms41×1valid
Compiler

Compiled 400 to 270 computations (32.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult: 18.0ms (38.3% of total)
ival-exp: 8.0ms (17% of total)
ival-div: 5.0ms (10.6% of total)
ival-sub: 5.0ms (10.6% of total)
backward-pass: 3.0ms (6.4% of total)
ival-neg: 3.0ms (6.4% of total)
ival-add: 3.0ms (6.4% of total)
const: 1.0ms (2.1% of total)

bsearch64.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
1.3537992713601974e+115
3.4749702164534743e+115
44.0ms
0.018607992103147595
2289.330299378821
Results
23.0ms167×0valid
17.0ms27×2valid
11.0ms30×1valid
Compiler

Compiled 390 to 265 computations (32.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 11.0ms (29.6% of total)
ival-exp: 8.0ms (21.5% of total)
ival-div: 5.0ms (13.5% of total)
ival-sub: 5.0ms (13.5% of total)
ival-neg: 3.0ms (8.1% of total)
ival-add: 3.0ms (8.1% of total)
backward-pass: 2.0ms (5.4% of total)
const: 1.0ms (2.7% of total)

bsearch69.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
1.3537992713601974e+115
3.4749702164534743e+115
49.0ms
0.018607992103147595
2289.330299378821
Results
23.0ms32×2valid
19.0ms154×0valid
12.0ms38×1valid
Compiler

Compiled 390 to 265 computations (32.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-exp: 9.0ms (23.7% of total)
ival-mult: 9.0ms (23.7% of total)
ival-div: 5.0ms (13.2% of total)
ival-sub: 5.0ms (13.2% of total)
backward-pass: 3.0ms (7.9% of total)
ival-neg: 3.0ms (7.9% of total)
ival-add: 3.0ms (7.9% of total)
const: 1.0ms (2.6% of total)

bsearch131.0ms (0.8%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
1.3537992713601974e+115
3.4749702164534743e+115
63.0ms
0.018607992103147595
2289.330299378821
43.0ms
-4.711362457980313e-44
-3.6067146596989047e-47
Results
50.0ms66×2valid
30.0ms197×0valid
27.0ms89×1valid
Compiler

Compiled 444 to 315 computations (29.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-add: 22.0ms (26.3% of total)
ival-mult: 16.0ms (19.1% of total)
ival-exp: 14.0ms (16.7% of total)
ival-div: 10.0ms (12% of total)
ival-sub: 9.0ms (10.8% of total)
backward-pass: 6.0ms (7.2% of total)
ival-neg: 5.0ms (6% of total)
const: 1.0ms (1.2% of total)

bsearch104.0ms (0.6%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
1.3537992713601974e+115
3.4749702164534743e+115
43.0ms
0.018607992103147595
2289.330299378821
36.0ms
-4.711362457980313e-44
-3.6067146596989047e-47
Results
35.0ms249×0valid
26.0ms43×2valid
20.0ms60×1valid
Compiler

Compiled 428 to 307 computations (28.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-exp: 13.0ms (21.8% of total)
ival-mult: 12.0ms (20.1% of total)
ival-div: 8.0ms (13.4% of total)
ival-sub: 8.0ms (13.4% of total)
backward-pass: 7.0ms (11.7% of total)
ival-neg: 5.0ms (8.4% of total)
ival-add: 5.0ms (8.4% of total)
const: 1.0ms (1.7% of total)

bsearch114.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
46.0ms
0.018607992103147595
2289.330299378821
51.0ms
-4.711362457980313e-44
-3.6067146596989047e-47
Results
34.0ms148×0valid
28.0ms83×1valid
25.0ms41×2valid
Compiler

Compiled 308 to 227 computations (26.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-mult: 11.0ms (19.7% of total)
ival-exp: 10.0ms (17.9% of total)
backward-pass: 9.0ms (16.1% of total)
ival-add: 8.0ms (14.3% of total)
ival-div: 7.0ms (12.5% of total)
ival-sub: 7.0ms (12.5% of total)
ival-neg: 4.0ms (7.2% of total)
const: 1.0ms (1.8% of total)

bsearch142.0ms (0.8%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
70.0ms
0.018607992103147595
2289.330299378821
60.0ms
-4104489.011178551
-0.0895839419406504
Results
64.0ms68×2valid
31.0ms140×0valid
25.0ms80×1valid
Compiler

Compiled 324 to 239 computations (26.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-div: 20.0ms (25.3% of total)
ival-exp: 16.0ms (20.2% of total)
ival-mult: 14.0ms (17.7% of total)
ival-neg: 9.0ms (11.4% of total)
ival-sub: 8.0ms (10.1% of total)
backward-pass: 6.0ms (7.6% of total)
ival-add: 5.0ms (6.3% of total)
const: 1.0ms (1.3% of total)

simplify102.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
710×distribute-lft-neg-in_binary64
358×neg-mul-1_binary64
344×neg-sub0_binary64
264×distribute-rgt-neg-in_binary64
240×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0155548
1246548
2281548
3313548
4339548
5362548
6396548
7483548
8713548
9984548
101266548
111528548
121701548
131822548
141921548
151988548
162038548
172057548
182059548
192060548
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(if (<=.f64 eps #s(literal 3412647653636267/9223372036854775808 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(if (<=.f64 eps #s(literal 3412647653636267/9223372036854775808 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (-.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 eps #s(literal -1 binary64)))))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
(if (<=.f64 eps #s(literal 7799999999999999366601681692899679547884245568567130456064 binary64)) (exp.f64 (neg.f64 x)) (-.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 eps #s(literal -1 binary64)))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.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)))))
(if (<=.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) eps) eps))) (if (<=.f64 x #s(literal 16600000000000000258286307749149594202852143188889619793938191635151840767334944674198757472589787631425024262406144 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps))) x) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))) (if (<=.f64 x #s(literal 21000000000000000326747738718803703509632229335342290100765182189047509404459869768564693188215996401200331898224640 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps))) x) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -5754006927942437/3196670515523576044934755563308202297086564498088930458479776726656380660551439995003193449537015778467662777468320381844938727095591204153641140224 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x x)))) (if (<=.f64 x #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))) x))) (if (<=.f64 x #s(literal 34000000000000000529020148401872662825118847495316088734572199734648348559601693911009503257111613220991013549506560 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps))) x) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
(if (<=.f64 x #s(literal 300 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) x)))) (if (<=.f64 x #s(literal 21000000000000000326747738718803703509632229335342290100765182189047509404459869768564693188215996401200331898224640 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps))) x) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal 290 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) x)))) (if (<=.f64 x #s(literal 31000000000000000482341900013472133752314243304552904434462887993355847216107426801214547087366470877962394706903040 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps))) x) (-.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal 300 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps (*.f64 x x)) eps))) (if (<=.f64 x #s(literal 34000000000000000529020148401872662825118847495316088734572199734648348559601693911009503257111613220991013549506560 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps))) x) (-.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -3916911482881289/200867255532373784442745261542645325315275374222849104412672 binary64)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x))) (if (<=.f64 x #s(literal 1080863910568919/18014398509481984 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 34000000000000000529020148401872662825118847495316088734572199734648348559601693911009503257111613220991013549506560 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps))) x) (-.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
(if (<=.f64 x #s(literal -8838159243424447/200867255532373784442745261542645325315275374222849104412672 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps))) x) (if (<=.f64 x #s(literal 6052837899185947/288230376151711744 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 26000000000000000404544819366137918630973236319947597267614035091201678310283648284889620137791233639581363302563840 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps))) x) (-.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
(if (<=.f64 x #s(literal -4619946877244597/100433627766186892221372630771322662657637687111424552206336 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps))) x) (if (<=.f64 x #s(literal 3314649325744685/144115188075855872 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps))) x)))
(if (<=.f64 x #s(literal -8286623314361713/72057594037927936 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 eps (*.f64 x x)) eps)) (if (<=.f64 x #s(literal 1261007895663739/36028797018963968 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 eps (*.f64 x x)) eps))))
#s(literal 1 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(if (<=.f64 eps #s(literal 3412647653636267/9223372036854775808 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(if (<=.f64 eps #s(literal 3412647653636267/9223372036854775808 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x eps)))))
(if (<=.f64 eps #s(literal 3412647653636267/9223372036854775808 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (-.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 eps #s(literal -1 binary64)))))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
(if (<=.f64 eps #s(literal 3412647653636267/9223372036854775808 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (-.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.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)))))
(if (<=.f64 eps #s(literal 7799999999999999366601681692899679547884245568567130456064 binary64)) (exp.f64 (neg.f64 x)) (-.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 eps #s(literal -1 binary64)))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.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)))))
(if (<=.f64 eps #s(literal 7799999999999999366601681692899679547884245568567130456064 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)) (+.f64 (+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))))))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 eps #s(literal 1 binary64))))))))))
(if (<=.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) eps) eps))) (if (<=.f64 x #s(literal 16600000000000000258286307749149594202852143188889619793938191635151840767334944674198757472589787631425024262406144 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps))) x) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))))) (if (<=.f64 x #s(literal 16600000000000000258286307749149594202852143188889619793938191635151840767334944674198757472589787631425024262406144 binary64)) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps)))) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))) (if (<=.f64 x #s(literal 21000000000000000326747738718803703509632229335342290100765182189047509404459869768564693188215996401200331898224640 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps))) x) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))))) (if (<=.f64 x #s(literal 21000000000000000326747738718803703509632229335342290100765182189047509404459869768564693188215996401200331898224640 binary64)) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps)))) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -5754006927942437/3196670515523576044934755563308202297086564498088930458479776726656380660551439995003193449537015778467662777468320381844938727095591204153641140224 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x x)))) (if (<=.f64 x #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))) x))) (if (<=.f64 x #s(literal 34000000000000000529020148401872662825118847495316088734572199734648348559601693911009503257111613220991013549506560 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps))) x) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
(if (<=.f64 x #s(literal -5754006927942437/3196670515523576044934755563308202297086564498088930458479776726656380660551439995003193449537015778467662777468320381844938727095591204153641140224 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 #s(literal -1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x x)))) (if (<=.f64 x #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))))))) (if (<=.f64 x #s(literal 34000000000000000529020148401872662825118847495316088734572199734648348559601693911009503257111613220991013549506560 binary64)) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps)))) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
(if (<=.f64 x #s(literal 300 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) x)))) (if (<=.f64 x #s(literal 21000000000000000326747738718803703509632229335342290100765182189047509404459869768564693188215996401200331898224640 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps))) x) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal 300 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps eps)))) (if (<=.f64 x #s(literal 21000000000000000326747738718803703509632229335342290100765182189047509404459869768564693188215996401200331898224640 binary64)) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps)))) (-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal 290 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) x)))) (if (<=.f64 x #s(literal 31000000000000000482341900013472133752314243304552904434462887993355847216107426801214547087366470877962394706903040 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps))) x) (-.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal 290 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps eps)))) (if (<=.f64 x #s(literal 31000000000000000482341900013472133752314243304552904434462887993355847216107426801214547087366470877962394706903040 binary64)) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps)))) (-.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal 300 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps (*.f64 x x)) eps))) (if (<=.f64 x #s(literal 34000000000000000529020148401872662825118847495316088734572199734648348559601693911009503257111613220991013549506560 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps))) x) (-.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal 300 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps (*.f64 x x))))) (if (<=.f64 x #s(literal 34000000000000000529020148401872662825118847495316088734572199734648348559601693911009503257111613220991013549506560 binary64)) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps)))) (-.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))
(if (<=.f64 x #s(literal -3916911482881289/200867255532373784442745261542645325315275374222849104412672 binary64)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x))) (if (<=.f64 x #s(literal 1080863910568919/18014398509481984 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 34000000000000000529020148401872662825118847495316088734572199734648348559601693911009503257111613220991013549506560 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps))) x) (-.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
(if (<=.f64 x #s(literal -3916911482881289/200867255532373784442745261542645325315275374222849104412672 binary64)) (*.f64 (*.f64 (*.f64 eps eps) #s(literal -1/3 binary64)) (*.f64 x (*.f64 x x))) (if (<=.f64 x #s(literal 1080863910568919/18014398509481984 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 34000000000000000529020148401872662825118847495316088734572199734648348559601693911009503257111613220991013549506560 binary64)) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps)))) (-.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
(if (<=.f64 x #s(literal -8838159243424447/200867255532373784442745261542645325315275374222849104412672 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps))) x) (if (<=.f64 x #s(literal 6052837899185947/288230376151711744 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 26000000000000000404544819366137918630973236319947597267614035091201678310283648284889620137791233639581363302563840 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps))) x) (-.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
(if (<=.f64 x #s(literal -8838159243424447/200867255532373784442745261542645325315275374222849104412672 binary64)) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps)))) (if (<=.f64 x #s(literal 6052837899185947/288230376151711744 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 26000000000000000404544819366137918630973236319947597267614035091201678310283648284889620137791233639581363302563840 binary64)) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps)))) (-.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
(if (<=.f64 x #s(literal -4619946877244597/100433627766186892221372630771322662657637687111424552206336 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps))) x) (if (<=.f64 x #s(literal 3314649325744685/144115188075855872 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps))) x)))
(if (<=.f64 x #s(literal -4619946877244597/100433627766186892221372630771322662657637687111424552206336 binary64)) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps)))) (if (<=.f64 x #s(literal 3314649325744685/144115188075855872 binary64)) #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 eps eps))))))
(if (<=.f64 x #s(literal -8286623314361713/72057594037927936 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 eps (*.f64 x x)) eps)) (if (<=.f64 x #s(literal 1261007895663739/36028797018963968 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 eps (*.f64 x x)) eps))))
(if (<=.f64 x #s(literal -8286623314361713/72057594037927936 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x)))) (if (<=.f64 x #s(literal 1261007895663739/36028797018963968 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 x x))))))
#s(literal 1 binary64)

soundness3.0s (18.1%)

Rules
6410×+-lowering-+.f64
6410×+-lowering-+.f32
6356×*-lowering-*.f32
6356×*-lowering-*.f64
6178×+-lowering-+.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
062503
1457489
25664484
08336484
079410724
128969651
091659651
02561879
18431674
231531544
089831544
01926
15826
216323
354323
4147922
5545022
0824822
08819837
132788939
085948939
048322
1348296
24110269
08863269
06095718
122634950
083754950
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 1456 to 745 computations (48.8% saved)

preprocess90.0ms (0.5%)

Compiler

Compiled 1254 to 384 computations (69.4% saved)

end0.0ms (0%)

Profiling

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