NMSE Section 6.1 mentioned, A

Time bar (total: 15.3s)

analyze52.0ms (0.3%)

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

Compiled 32 to 20 computations (37.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 6.0ms (26.1% of total)
ival-sub: 5.0ms (21.8% of total)
ival-div: 3.0ms (13.1% of total)
ival-add: 3.0ms (13.1% of total)
ival-exp: 3.0ms (13.1% of total)
ival-neg: 2.0ms (8.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample3.2s (20.9%)

Results
1.2s5883×0valid
859.0ms983×2valid
478.0ms1390×1valid
135.0ms936×0unsamplable
Precisions
Click to see histograms. Total time spent on operations: 2.1s
ival-exp: 536.0ms (26% of total)
ival-mult: 407.0ms (19.8% of total)
ival-add: 282.0ms (13.7% of total)
ival-div: 265.0ms (12.9% of total)
ival-sub: 247.0ms (12% of total)
backward-pass: 159.0ms (7.7% of total)
ival-neg: 142.0ms (6.9% of total)
const: 20.0ms (1% of total)
Bogosity

preprocess275.0ms (1.8%)

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)

explain381.0ms (2.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
616(-2.5970127737833373e-258 1.2866379706248643e-8)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
154.0ms384×0valid
70.0ms56×2valid
56.0ms72×1valid
Compiler

Compiled 319 to 59 computations (81.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-exp: 19.0ms (19.9% of total)
ival-mult: 18.0ms (18.8% of total)
ival-add: 15.0ms (15.7% of total)
ival-sub: 13.0ms (13.6% of total)
ival-div: 12.0ms (12.5% of total)
backward-pass: 11.0ms (11.5% of total)
ival-neg: 7.0ms (7.3% of total)
const: 1.0ms (1% of total)

eval5.0ms (0%)

Compiler

Compiled 27 to 18 computations (33.3% saved)

prune7.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶76.9%
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (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)

simplify183.0ms (1.2%)

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)

localize129.0ms (0.8%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))
✓accuracy100.0%
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
✓accuracy100.0%
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
✓accuracy76.9%
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
Results
46.0ms191×0valid
29.0ms28×2valid
19.0ms37×1valid
Compiler

Compiled 101 to 19 computations (81.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-exp: 11.0ms (23.7% of total)
ival-mult: 10.0ms (21.5% of total)
ival-add: 8.0ms (17.2% of total)
ival-div: 6.0ms (12.9% of total)
backward-pass: 6.0ms (12.9% of total)
ival-sub: 5.0ms (10.8% of total)
const: 1.0ms (2.2% of total)

series22.0ms (0.1%)

Counts
6 → 132
Calls
Call 1
Inputs
#<alt (- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))>
#<alt (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps)))>
#<alt (exp (* x (+ eps -1)))>
#<alt (* x (+ eps -1))>
#<alt (* x (- -1 eps))>
#<alt (+ (/ 1/2 eps) -1/2)>
Outputs
#<alt 1>
#<alt (+ 1 (* x (- (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))>
#<alt (+ 1 (* x (- (+ (* x (- (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))>
#<alt (+ 1 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))>
#<alt (- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (- (+ (* 1/2 (exp (* -1 x))) (* 1/2 (* x (exp (* -1 x))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x))))))>
#<alt (- (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (* 1/4 (* (pow x 2) (exp (* -1 x))))) (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x))))))>
#<alt (- (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/240 (* (pow x 5) (exp (* -1 x)))) (* 1/48 (* (pow x 4) (exp (* -1 x))))) (+ (* -1/48 (* (pow x 4) (exp (* -1 x)))) (* -1/240 (* (pow x 5) (exp (* -1 x))))))))) (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x))))))>
#<alt (- (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/240 (* (pow x 5) (exp (* -1 x)))) (+ (* 1/48 (* (pow x 4) (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/10080 (* (pow x 7) (exp (* -1 x)))) (* 1/1440 (* (pow x 6) (exp (* -1 x))))) (+ (* -1/1440 (* (pow x 6) (exp (* -1 x)))) (* -1/10080 (* (pow x 7) (exp (* -1 x))))))))) (+ (* -1/48 (* (pow x 4) (exp (* -1 x)))) (* -1/240 (* (pow x 5) (exp (* -1 x))))))))) (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x))))))>
#<alt (- (* 1/2 (exp (* x (- eps 1)))) (* -1/2 (exp (* -1 (* x (+ 1 eps))))))>
#<alt (- (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps))) (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps))))>
#<alt (- (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps))) (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps))))>
#<alt (- (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps))) (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps))))>
#<alt (- (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))>
#<alt (- (+ (* -1 (/ (- (* -1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) eps)) (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))>
#<alt (- (+ (* -1 (/ (- (* -1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) eps)) (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))>
#<alt (- (+ (* -1 (/ (- (* -1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) eps)) (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))>
#<alt (+ 1/2 (* 1/2 (/ 1 eps)))>
#<alt (+ 1/2 (+ (* 1/2 (/ 1 eps)) (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))))>
#<alt (+ 1/2 (+ (* 1/2 (/ 1 eps)) (* x (+ (* 1/2 (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))))))>
#<alt (+ 1/2 (+ (* 1/2 (/ 1 eps)) (* x (+ (* x (+ (* 1/6 (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))))))>
#<alt (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* 1/2 (/ (exp (* -1 x)) eps))>
#<alt (/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* 1/2 (exp (* -1 x))) (* 1/2 (* x (exp (* -1 x))))))) eps)>
#<alt (/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (* x (exp (* -1 x)))))))))) eps)>
#<alt (/ (+ (* 1/2 (exp (* -1 x))) (* eps (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (* x (exp (* -1 x)))) (* eps (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (* 1/4 (* (pow x 2) (exp (* -1 x))))))))))))) eps)>
#<alt (* 1/2 (exp (* x (- eps 1))))>
#<alt (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps)))>
#<alt (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps)))>
#<alt (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps)))>
#<alt (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))>
#<alt (+ (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps)))>
#<alt (+ (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps)))>
#<alt (+ (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 (* -1 eps))))) eps)))>
#<alt 1>
#<alt (+ 1 (* x (- eps 1)))>
#<alt (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))>
#<alt (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* -1 x))>
#<alt (+ (exp (* -1 x)) (* eps (* x (exp (* -1 x)))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x))))))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* -1 (* x (+ 1 (* -1 eps)))))>
#<alt (exp (* -1 (* x (+ 1 (* -1 eps)))))>
#<alt (exp (* -1 (* x (+ 1 (* -1 eps)))))>
#<alt (exp (* -1 (* x (+ 1 (* -1 eps)))))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* eps x))>
#<alt (+ (* -1 x) (* eps x))>
#<alt (+ (* -1 x) (* eps x))>
#<alt (* eps x)>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps x)>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (* -1 (* eps x))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* -1 (* eps x))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<alt (/ 1/2 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)>
#<alt -1/2>
#<alt (- (* 1/2 (/ 1 eps)) 1/2)>
#<alt (- (* 1/2 (/ 1 eps)) 1/2)>
#<alt (- (* 1/2 (/ 1 eps)) 1/2)>
Calls

33 calls:

TimeVariablePointExpression
8.0ms
eps
@inf
(- (* (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
x
@0
(- (* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
1.0ms
eps
@0
(* (exp (* x (+ eps -1))) (- 1/2 (/ -1/2 eps)))

rewrite344.0ms (2.3%)

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
01857
112857
2110857
0852357
Stop Event
1×iter limit
1×node limit
Counts
6 → 269
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))
(+ (/ 1/2 eps) -1/2)
Outputs
(+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))
(+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))
(+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (neg.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))))
(+.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))
(+.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (+.f64 (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))
(+.f64 (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))
(+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))) (neg.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))))))
(+.f64 (/.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (neg.f64 (/.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))))
(+.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 eps #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))
(-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (-.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))
(-.f64 (/.f64 (*.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))) (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))) (/.f64 (*.f64 (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (+.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (+.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))
(*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) eps)))))
(*.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (/.f64 eps #s(literal 1/2 binary64))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps)) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) eps))))))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps)) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))

simplify246.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
3376×*-lowering-*.f32
3376×*-lowering-*.f64
2648×+-lowering-+.f64
2648×+-lowering-+.f32
1984×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02601935
18481727
231681597
090161597
Stop Event
1×iter limit
1×node limit
Counts
132 → 132
Calls
Call 1
Inputs
1
(+ 1 (* x (- (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))
(+ 1 (* x (- (+ (* x (- (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))
(+ 1 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(- (* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps)))) (* (exp (* -1 (* x (+ 1 eps)))) (- (* 1/2 (/ 1 eps)) 1/2)))
(- (+ (* 1/2 (exp (* -1 x))) (* 1/2 (* x (exp (* -1 x))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x))))))
(- (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (* 1/4 (* (pow x 2) (exp (* -1 x))))) (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x))))))
(- (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/240 (* (pow x 5) (exp (* -1 x)))) (* 1/48 (* (pow x 4) (exp (* -1 x))))) (+ (* -1/48 (* (pow x 4) (exp (* -1 x)))) (* -1/240 (* (pow x 5) (exp (* -1 x))))))))) (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x))))))
(- (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (+ (* 1/4 (* (pow x 2) (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/240 (* (pow x 5) (exp (* -1 x)))) (+ (* 1/48 (* (pow x 4) (exp (* -1 x)))) (* (pow eps 2) (- (+ (* 1/10080 (* (pow x 7) (exp (* -1 x)))) (* 1/1440 (* (pow x 6) (exp (* -1 x))))) (+ (* -1/1440 (* (pow x 6) (exp (* -1 x)))) (* -1/10080 (* (pow x 7) (exp (* -1 x))))))))) (+ (* -1/48 (* (pow x 4) (exp (* -1 x)))) (* -1/240 (* (pow x 5) (exp (* -1 x))))))))) (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* -1/12 (* (pow x 3) (exp (* -1 x))))))))) (+ (* -1/2 (exp (* -1 x))) (* -1/2 (* x (exp (* -1 x))))))
(- (* 1/2 (exp (* x (- eps 1)))) (* -1/2 (exp (* -1 (* x (+ 1 eps))))))
(- (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps))) (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps))))
(- (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps))) (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps))))
(- (+ (* 1/2 (exp (* x (- eps 1)))) (* 1/2 (/ (exp (* x (- eps 1))) eps))) (+ (* -1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps))))
(- (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))
(- (+ (* -1 (/ (- (* -1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) eps)) (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))
(- (+ (* -1 (/ (- (* -1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) eps)) (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))
(- (+ (* -1 (/ (- (* -1/2 (exp (* -1 (* x (+ 1 (* -1 eps)))))) (* -1/2 (exp (* x (- (* -1 eps) 1))))) eps)) (* 1/2 (exp (* -1 (* x (+ 1 (* -1 eps))))))) (* -1/2 (exp (* x (- (* -1 eps) 1)))))
(+ 1/2 (* 1/2 (/ 1 eps)))
(+ 1/2 (+ (* 1/2 (/ 1 eps)) (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))))
(+ 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))))))
(+ 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))))))
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))
(* (exp (* x (- eps 1))) (+ 1/2 (* 1/2 (/ 1 eps))))
(* (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))))
(/ 1/2 eps)
(/ (+ 1/2 (* -1/2 eps)) eps)
(/ (+ 1/2 (* -1/2 eps)) eps)
(/ (+ 1/2 (* -1/2 eps)) eps)
-1/2
(- (* 1/2 (/ 1 eps)) 1/2)
(- (* 1/2 (/ 1 eps)) 1/2)
(- (* 1/2 (/ 1 eps)) 1/2)
-1/2
(- (* 1/2 (/ 1 eps)) 1/2)
(- (* 1/2 (/ 1 eps)) 1/2)
(- (* 1/2 (/ 1 eps)) 1/2)
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 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))
(+ 1 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (* 1/2 (/ 1 eps)) 1/2)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (+.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.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)))
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(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* -1 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(+ (exp (* -1 x)) (* eps (* x (exp (* -1 x)))))
(*.f64 (+.f64 (*.f64 x eps) #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))
(+.f64 (*.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 eps (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 (*.f64 x eps) #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(+ (exp (* -1 x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x))))))
(+.f64 (*.f64 (*.f64 eps eps) (+.f64 (*.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 x (*.f64 x x))) (*.f64 eps #s(literal 1/6 binary64))) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 (+.f64 (*.f64 x eps) #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* x (- eps 1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* x (- eps 1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(+ (* -1 x) (* eps x))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(+ (* -1 x) (* eps x))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(+ (* -1 x) (* eps x))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* eps x)
(*.f64 x eps)
(* eps (+ x (* -1 (/ x eps))))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(* eps (+ x (* -1 (/ x eps))))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(* eps (+ x (* -1 (/ x eps))))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(* eps x)
(*.f64 x eps)
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(* -1 (* eps (+ (* -1 x) (/ x eps))))
(*.f64 eps (-.f64 x (/.f64 x eps)))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* x (+ 1 eps)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(+ (* -1 x) (* -1 (* eps x)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(+ (* -1 x) (* -1 (* eps x)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(+ (* -1 x) (* -1 (* eps x)))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* -1 (* eps x))
(-.f64 #s(literal 0 binary64) (*.f64 x eps))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(-.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 x (/.f64 x eps))))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(-.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 x (/.f64 x eps))))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(-.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 x (/.f64 x eps))))
(* -1 (* eps x))
(-.f64 #s(literal 0 binary64) (*.f64 x eps))
(* -1 (* eps (+ x (/ x eps))))
(-.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 x (/.f64 x eps))))
(* -1 (* eps (+ x (/ x eps))))
(-.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 x (/.f64 x eps))))
(* -1 (* eps (+ x (/ x eps))))
(-.f64 #s(literal 0 binary64) (*.f64 eps (+.f64 x (/.f64 x eps))))
(/ 1/2 eps)
(/.f64 #s(literal 1/2 binary64) eps)
(/ (+ 1/2 (* -1/2 eps)) eps)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 eps #s(literal -1/2 binary64))) eps)
(/ (+ 1/2 (* -1/2 eps)) eps)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 eps #s(literal -1/2 binary64))) eps)
(/ (+ 1/2 (* -1/2 eps)) eps)
(/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 eps #s(literal -1/2 binary64))) eps)
-1/2
#s(literal -1/2 binary64)
(- (* 1/2 (/ 1 eps)) 1/2)
(+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))
(- (* 1/2 (/ 1 eps)) 1/2)
(+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))
(- (* 1/2 (/ 1 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 eps)) 1/2)
(+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))
(- (* 1/2 (/ 1 eps)) 1/2)
(+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))
(- (* 1/2 (/ 1 eps)) 1/2)
(+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))

eval53.0ms (0.3%)

Compiler

Compiled 21263 to 1319 computations (93.8% saved)

prune59.0ms (0.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New3929401
Fresh000
Picked101
Done000
Total3939402
Accuracy
100.0%
Counts
402 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.0%
(-.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1/6 binary64))) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.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))))
▶41.3%
(-.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))))
▶41.3%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
44.6%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
▶72.9%
(+.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 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))
41.2%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
55.0%
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
▶99.1%
(*.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)))))
▶41.2%
#s(literal 1 binary64)
Compiler

Compiled 576 to 310 computations (46.2% saved)

simplify186.0ms (1.2%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64)))))
✓cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))
✓cost-diff0
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
✓cost-diff512
(+.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.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 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #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 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #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 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #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
2380×*-lowering-*.f32
2380×*-lowering-*.f64
2196×+-lowering-+.f64
2196×+-lowering-+.f32
1816×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048684
1195666
2951656
37316656
08049656
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 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ 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 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ 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 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ 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 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))
(* x 1/2)
(+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))
(* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1)))
(* (+ eps -1) (+ 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 (* x (+ eps (+ (* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))) -1)))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(* (+ 1 (* x (+ eps (+ (* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))) -1)))) (- 1/2 (/ -1/2 eps)))
(+ 1 (* x (+ eps (+ (* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))) -1))))
1
(* x (+ eps (+ (* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))) -1)))
x
(+ eps (+ (* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))) -1))
eps
(+ (* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))) -1)
(* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1)))))
(+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))
(* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1)))
(* (* x 1/6) (+ eps -1))
(* x 1/6)
1/6
(+ eps -1)
-1
(* (+ eps -1) (+ eps -1))
(* 1/2 (* (+ eps -1) (+ eps -1)))
1/2
(- 1/2 (/ -1/2 eps))
(/ -1/2 eps)
-1/2
(* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))
(exp (* x (- -1 eps)))
(* x (- -1 eps))
(- -1 eps)
(+ (/ 1/2 eps) -1/2)
(/ 1/2 eps)
Outputs
(* 1/2 (+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
1/2
#s(literal 1/2 binary64)
(+ (exp (* x (+ eps -1))) (exp (* x (- -1 eps))))
(+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(exp (* x (+ eps -1)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(* x (+ eps -1))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
x
(+ eps -1)
(+.f64 eps #s(literal -1 binary64))
eps
-1
#s(literal -1 binary64)
(exp (* x (- -1 eps)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(* x (- -1 eps))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
1
#s(literal 1 binary64)
(+ 1 (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 (*.f64 (+.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) x) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))))))))
1
#s(literal 1 binary64)
(* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))))
(*.f64 x (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 (*.f64 (+.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) x) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))))))
x
(+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))
(+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 (*.f64 (+.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) x) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))))))
(+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 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 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(* (+ 1/2 (/ 1/2 eps)) (+ eps -1))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(+ 1/2 (/ 1/2 eps))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
1/2
#s(literal 1/2 binary64)
(/ 1/2 eps)
(/.f64 #s(literal 1/2 binary64) eps)
eps
(+ eps -1)
(+.f64 eps #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(* (+ 1 eps) (+ (/ 1/2 eps) -1/2))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(+ 1 eps)
(+.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)
(* (* x 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))))
(* x 1/2)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))
(* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1)))
(*.f64 (+.f64 #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))))
(* (+ eps -1) (+ eps -1))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))
(* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))
(*.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) (+ (/ 1/2 eps) -1/2))
(*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
(- (+ 1/2 (/ 1/2 eps)) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(+.f64 #s(literal 1/2 binary64) (+.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 #s(literal 1/2 binary64) eps)))
(+ 1/2 (/ 1/2 eps))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
1/2
#s(literal 1/2 binary64)
(/ 1/2 eps)
(/.f64 #s(literal 1/2 binary64) eps)
eps
(* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(exp (* x (- -1 eps)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(* x (- -1 eps))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
x
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
-1
#s(literal -1 binary64)
(+ (/ 1/2 eps) -1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
-1/2
#s(literal -1/2 binary64)
(- (* (+ 1 (* x (+ eps (+ (* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))) -1)))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64))))))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))
(* (+ 1 (* x (+ eps (+ (* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))) -1)))) (- 1/2 (/ -1/2 eps)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))))
(+ 1 (* x (+ eps (+ (* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))) -1))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64))))))))
1
#s(literal 1 binary64)
(* x (+ eps (+ (* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))) -1)))
(*.f64 x (+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))
x
(+ eps (+ (* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))) -1))
(+.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
eps
(+ (* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))) -1)
(+.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))
(*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))))
(* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1)))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))))
(* (* x 1/6) (+ eps -1))
(*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 1/6 binary64))
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(+ eps -1)
(+.f64 eps #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(* (+ eps -1) (+ eps -1))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))
(* 1/2 (* (+ eps -1) (+ eps -1)))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))
1/2
#s(literal 1/2 binary64)
(- 1/2 (/ -1/2 eps))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
(/ -1/2 eps)
(/.f64 #s(literal -1/2 binary64) eps)
-1/2
#s(literal -1/2 binary64)
(* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2))
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
(exp (* x (- -1 eps)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(* x (- -1 eps))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
(+ (/ 1/2 eps) -1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
(/ 1/2 eps)
(/.f64 #s(literal 1/2 binary64) eps)

localize1.0s (6.8%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy98.5%
(*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))
✓accuracy93.7%
(*.f64 x (+.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))
✓accuracy87.6%
(+.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))
✓accuracy65.9%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
✓accuracy100.0%
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))
✓accuracy100.0%
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
✓accuracy78.1%
(-.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))))
✓accuracy100.0%
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))
✓accuracy95.6%
(*.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 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))))
✓accuracy94.7%
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
✓accuracy64.2%
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #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 #s(literal -1 binary64) eps))
✓accuracy100.0%
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
Results
593.0ms181×2valid
181.0ms37×3valid
62.0ms37×1valid
5.0ms1×5exit
Compiler

Compiled 821 to 49 computations (94% saved)

Precisions
Click to see histograms. Total time spent on operations: 417.0ms
ival-mult: 160.0ms (38.3% of total)
ival-add: 111.0ms (26.6% of total)
backward-pass: 85.0ms (20.4% of total)
ival-sub: 18.0ms (4.3% of total)
...c/correct-round.rkt:119:19: 15.0ms (3.6% of total)
ival-exp: 14.0ms (3.4% of total)
ival-div: 12.0ms (2.9% of total)
const: 2.0ms (0.5% of total)

series58.0ms (0.4%)

Counts
24 → 504
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 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ 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 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ 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 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ 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 (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))>
#<alt (- (* (+ 1 (* x (+ eps (+ (* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))) -1)))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))>
#<alt (* (+ 1 (* x (+ eps (+ (* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))) -1)))) (- 1/2 (/ -1/2 eps)))>
#<alt (+ 1 (* x (+ eps (+ (* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))) -1))))>
#<alt (* x (- -1 eps))>
#<alt (exp (* x (- -1 eps)))>
#<alt (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))>
#<alt (* (* x 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))>
#<alt (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1)))>
#<alt (+ (/ 1/2 eps) -1/2)>
#<alt (* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1)))))>
#<alt (* (* (* x 1/6) (+ eps -1)) (* (+ 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 (+ (* 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 (* 1/2 (* (pow x 2) (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))>
#<alt (* (pow x 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)) x) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x))))>
#<alt (* (pow x 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 (pow x 2)) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x)))))>
#<alt (* (pow x 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 (pow x 2)) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x)))))>
#<alt (* 1/2 (* (pow x 2) (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))>
#<alt (* (pow x 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)) x) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x))))>
#<alt (* (pow x 2) (+ (* -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))))))>
#<alt (* (pow x 2) (+ (* -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))))))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))>
#<alt (+ 1 (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2)))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (+ (* 1/2 (pow x 2)) (/ 1 (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)))))>
#<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)))))>
#<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)))))>
#<alt (* 1/2 (* (pow x 2) (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))>
#<alt (* (pow x 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)) x) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x))))>
#<alt (* (pow x 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)) x) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x))))>
#<alt (* (pow x 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)) x) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x))))>
#<alt (* 1/2 (* (pow x 2) (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))>
#<alt (* (pow x 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)) x) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x))))>
#<alt (* (pow x 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)) x) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x))))>
#<alt (* (pow x 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)) x) (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x))))>
#<alt (* -1/2 (pow x 2))>
#<alt (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (+ (* -1/2 (pow x 2)) (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/2 (pow x 2))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (pow x 2) (pow eps 2))) (* 1/2 (pow x 2))))>
#<alt (* -1/2 x)>
#<alt (+ (* -1/2 x) (* 1/2 (* (pow eps 2) x)))>
#<alt (+ (* -1/2 x) (* 1/2 (* (pow eps 2) x)))>
#<alt (+ (* -1/2 x) (* 1/2 (* (pow eps 2) x)))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))>
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#<alt (* -1 (* (pow x 3) (+ (* -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))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)) x)) (* -1/6 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (* -1 (/ (+ 1/2 (* 1/2 (/ 1 eps))) 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))))))>
#<alt (* 1/2 (/ (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) eps))>
#<alt (/ (+ (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (* eps (+ (* 1/2 (* x (+ 1 (* x (- (* 1/2 x) 1))))) (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))))) eps)>
#<alt (/ (+ (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (* eps (+ (* 1/2 (* x (+ 1 (* x (- (* 1/2 x) 1))))) (+ (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (* eps (+ (* 1/2 (* x (+ 1 (* x (- (* 1/2 x) 1))))) (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))))))))) eps)>
#<alt (/ (+ (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (* eps (+ (* 1/2 (* x (+ 1 (* x (- (* 1/2 x) 1))))) (+ (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (* eps (+ (* 1/2 (* x (+ 1 (* x (- (* 1/2 x) 1))))) (+ (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* eps (+ (* 1/12 (pow x 3)) (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x))))))))))))) eps)>
#<alt (* 1/12 (* (pow eps 3) (pow x 3)))>
#<alt (* (pow eps 3) (+ (* 1/12 (/ (pow x 3) eps)) (+ (* 1/12 (pow x 3)) (* 1/2 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps)))))>
#<alt (* (pow eps 3) (+ (* 1/12 (/ (pow x 3) eps)) (+ (* 1/12 (pow x 3)) (+ (* 1/2 (/ (* x (+ 1 (* x (- (* 1/2 x) 1)))) (pow eps 2))) (+ (* 1/2 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps)) (* 1/2 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow eps 2))))))))>
#<alt (* (pow eps 3) (+ (* 1/12 (/ (pow x 3) eps)) (+ (* 1/12 (pow x 3)) (+ (* 1/2 (/ (* x (+ 1 (* x (- (* 1/2 x) 1)))) (pow eps 2))) (+ (* 1/2 (/ (* x (+ 1 (* x (- (* 1/2 x) 1)))) (pow eps 3))) (+ (* 1/2 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps)) (+ (* 1/2 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow eps 2))) (* 1/2 (/ (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) (pow eps 3))))))))))>
#<alt (* 1/12 (* (pow eps 3) (pow x 3)))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* 1/12 (pow x 3)) (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x))))) eps)) (* -1/12 (pow x 3)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* 1/2 (* x (- (* x (+ 1 (* -1/2 x))) 1)))) eps)) (+ (* 1/12 (pow x 3)) (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))))) eps)) (* -1/12 (pow x 3)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* x (- (* x (+ 1 (* -1/2 x))) 1))) (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))) eps)) (+ (* -1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* 1/2 (* x (- (* x (+ 1 (* -1/2 x))) 1))))) eps)) (+ (* 1/12 (pow x 3)) (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))))) eps)) (* -1/12 (pow x 3)))))>
#<alt 1>
#<alt (+ 1 (* x (- eps 1)))>
#<alt (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))>
#<alt (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))>
#<alt (* 1/6 (* (pow x 3) (pow (- eps 1) 3)))>
#<alt (* (pow x 3) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))>
#<alt (* (pow x 3) (- (+ (* 1/6 (pow (- eps 1) 3)) (+ (* 1/2 (/ (pow (- eps 1) 2) x)) (/ eps (pow x 2)))) (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (- (+ (* 1/6 (pow (- eps 1) 3)) (+ (* 1/2 (/ (pow (- eps 1) 2) x)) (+ (/ 1 (pow x 3)) (/ eps (pow x 2))))) (/ 1 (pow x 2))))>
#<alt (* 1/6 (* (pow x 3) (pow (- eps 1) 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow (- eps 1) 2) x)) (* -1/6 (pow (- eps 1) 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (* 1/2 (pow (- eps 1) 2)) (/ eps x)) (/ 1 x)) x)) (* -1/6 (pow (- eps 1) 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (- eps 1)) (/ 1 x)) x)) (* 1/2 (pow (- eps 1) 2))) x)) (* -1/6 (pow (- eps 1) 3)))))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (+ 1 (+ (* eps (* x (+ 1 (* x (- (* 1/2 x) 1))))) (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))>
#<alt (+ 1 (+ (* eps (+ (* eps (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* x (+ 1 (* x (- (* 1/2 x) 1)))))) (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))>
#<alt (+ 1 (+ (* eps (+ (* eps (+ (* 1/6 (* eps (pow x 3))) (* (pow x 2) (+ 1/2 (* -1/2 x))))) (* x (+ 1 (* x (- (* 1/2 x) 1)))))) (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))>
#<alt (* 1/6 (* (pow eps 3) (pow x 3)))>
#<alt (* (pow eps 3) (+ (* 1/6 (pow x 3)) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps)))>
#<alt (* (pow eps 3) (+ (* 1/6 (pow x 3)) (+ (/ (* x (+ 1 (* x (- (* 1/2 x) 1)))) (pow eps 2)) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps))))>
#<alt (* (pow eps 3) (+ (* 1/6 (pow x 3)) (+ (/ 1 (pow eps 3)) (+ (/ (* x (+ 1 (* x (- (* 1/2 x) 1)))) (pow eps 2)) (+ (/ (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) (pow eps 3)) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps))))))>
#<alt (* 1/6 (* (pow eps 3) (pow x 3)))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* x (+ 1 (* -1/2 x))) 1)) eps)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) eps)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) eps)) (* x (- (* x (+ 1 (* -1/2 x))) 1))) eps)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) eps)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (* -1 (* eps x))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* -1 (* eps x))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<alt 1>
#<alt (+ 1 (* -1 (* x (+ 1 eps))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 x))>
#<alt (+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt -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 (* 1/2 (* x (+ (* -1 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))))>
#<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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* 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 (* -1/2 x)>
#<alt (+ (* -1/2 x) (* 1/2 (* (pow eps 2) x)))>
#<alt (+ (* -1/2 x) (* 1/2 (* (pow eps 2) x)))>
#<alt (+ (* -1/2 x) (* 1/2 (* (pow eps 2) x)))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))>
#<alt (/ 1/2 eps)>
#<alt (/ (+ 1/2 (* -1/2 eps)) eps)>
#<alt (/ (+ 1/2 (* eps (- (* -1/2 eps) 1/2))) eps)>
#<alt (/ (+ 1/2 (* eps (- (* eps (- (* 1/2 eps) 1/2)) 1/2))) eps)>
#<alt (* 1/2 (pow eps 2))>
#<alt (* (pow eps 2) (- 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* (pow eps 2) (+ 1/2 (* -1 (/ (+ 1/2 (* 1/2 (/ 1 eps))) eps))))>
#<alt (* (pow eps 2) (- (+ 1/2 (* 1/2 (/ 1 (pow eps 3)))) (+ (/ 1/2 (pow eps 2)) (* 1/2 (/ 1 eps)))))>
#<alt (* 1/2 (pow eps 2))>
#<alt (* (pow eps 2) (- 1/2 (* 1/2 (/ 1 eps))))>
#<alt (* (pow eps 2) (+ 1/2 (* -1 (/ (+ 1/2 (* 1/2 (/ 1 eps))) eps))))>
#<alt (* (pow eps 2) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- (* 1/2 (/ 1 eps)) 1/2) eps))) 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)>
#<alt -1/2>
#<alt (- (* 1/2 (/ 1 eps)) 1/2)>
#<alt (- (* 1/2 (/ 1 eps)) 1/2)>
#<alt (- (* 1/2 (/ 1 eps)) 1/2)>
#<alt (* 1/2 (* x (pow (- eps 1) 2)))>
#<alt (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))>
#<alt (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))>
#<alt (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))>
#<alt (* 1/6 (* (pow x 2) (pow (- eps 1) 3)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))>
#<alt (* 1/6 (* (pow x 2) (pow (- eps 1) 3)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))>
#<alt (* x (+ 1/2 (* -1/6 x)))>
#<alt (+ (* eps (* x (- (* 1/2 x) 1))) (* x (+ 1/2 (* -1/6 x))))>
#<alt (+ (* eps (+ (* eps (* x (+ 1/2 (* -1/2 x)))) (* x (- (* 1/2 x) 1)))) (* x (+ 1/2 (* -1/6 x))))>
#<alt (+ (* eps (+ (* eps (+ (* 1/6 (* eps (pow x 2))) (* x (+ 1/2 (* -1/2 x))))) (* x (- (* 1/2 x) 1)))) (* x (+ 1/2 (* -1/6 x))))>
#<alt (* 1/6 (* (pow eps 3) (pow x 2)))>
#<alt (* (pow eps 3) (+ (* 1/6 (pow x 2)) (/ (* x (+ 1/2 (* -1/2 x))) eps)))>
#<alt (* (pow eps 3) (+ (* 1/6 (pow x 2)) (+ (/ (* x (+ 1/2 (* -1/2 x))) eps) (/ (* x (- (* 1/2 x) 1)) (pow eps 2)))))>
#<alt (* (pow eps 3) (+ (* 1/6 (pow x 2)) (+ (/ (* x (+ 1/2 (* -1/2 x))) eps) (+ (/ (* x (+ 1/2 (* -1/6 x))) (pow eps 3)) (/ (* x (- (* 1/2 x) 1)) (pow eps 2))))))>
#<alt (* 1/6 (* (pow eps 3) (pow x 2)))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (* x (+ 1/2 (* -1/2 x))) eps)) (* -1/6 (pow x 2)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (* x (+ 1 (* -1/2 x))) eps)) (* x (+ 1/2 (* -1/2 x)))) eps)) (* -1/6 (pow x 2)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (+ 1/2 (* -1/6 x))) eps)) (* x (+ 1 (* -1/2 x)))) eps)) (* x (+ 1/2 (* -1/2 x)))) eps)) (* -1/6 (pow x 2)))))>
#<alt (* 1/6 (* x (pow (- eps 1) 3)))>
#<alt (* 1/6 (* x (pow (- eps 1) 3)))>
#<alt (* 1/6 (* x (pow (- eps 1) 3)))>
#<alt (* 1/6 (* x (pow (- eps 1) 3)))>
#<alt (* 1/6 (* x (pow (- eps 1) 3)))>
#<alt (* 1/6 (* x (pow (- eps 1) 3)))>
#<alt (* 1/6 (* x (pow (- eps 1) 3)))>
#<alt (* 1/6 (* x (pow (- eps 1) 3)))>
#<alt (* 1/6 (* x (pow (- eps 1) 3)))>
#<alt (* 1/6 (* x (pow (- eps 1) 3)))>
#<alt (* 1/6 (* x (pow (- eps 1) 3)))>
#<alt (* 1/6 (* x (pow (- eps 1) 3)))>
#<alt (* -1/6 x)>
#<alt (+ (* -1/6 x) (* 1/2 (* eps x)))>
#<alt (+ (* -1/6 x) (* eps (+ (* -1/2 (* eps x)) (* 1/2 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)) (+ (* 1/6 x) (* 1/2 (/ x (pow eps 2))))))>
#<alt (* (pow eps 3) (+ (* -1/2 (/ x eps)) (+ (* -1/6 (/ x (pow eps 3))) (+ (* 1/6 x) (* 1/2 (/ x (pow eps 2)))))))>
#<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 (/ (+ (* -1/2 x) (* 1/6 (/ x eps))) eps)) (* -1/2 x)) eps)) (* -1/6 x))))>
Calls

126 calls:

TimeVariablePointExpression
6.0ms
eps
@0
(+ 1 (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))))
5.0ms
x
@-inf
(+ 1 (* x (+ eps (+ (* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))) -1))))
4.0ms
x
@inf
(* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1)))))
3.0ms
eps
@-inf
(+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))
2.0ms
eps
@inf
(+ 1 (* x (+ (+ (* (+ 1/2 (/ 1/2 eps)) (+ eps -1)) (* (+ 1 eps) (+ (/ 1/2 eps) -1/2))) (* (* x 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))))))

rewrite375.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
2828×*-lowering-*.f32
2828×*-lowering-*.f64
1624×+-lowering-+.f64
1624×+-lowering-+.f32
1586×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048450
1401434
24978434
08055434
Stop Event
1×iter limit
1×node limit
Counts
24 → 430
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 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ 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 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ 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 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ 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))
(+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))
(- (* (+ 1 (* x (+ eps (+ (* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))) -1)))) (- 1/2 (/ -1/2 eps))) (* (exp (* x (- -1 eps))) (+ (/ 1/2 eps) -1/2)))
(* (+ 1 (* x (+ eps (+ (* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))) -1)))) (- 1/2 (/ -1/2 eps)))
(+ 1 (* x (+ eps (+ (* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))) -1))))
(* x (- -1 eps))
(exp (* x (- -1 eps)))
(+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2))))
(* (* x 1/2) (+ (* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1))) (* (+ 1 eps) (* (- -1 eps) (+ (/ 1/2 eps) -1/2)))))
(* (+ 1/2 (/ 1/2 eps)) (* (+ eps -1) (+ eps -1)))
(+ (/ 1/2 eps) -1/2)
(* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1)))))
(* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1)))
Outputs
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (+.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 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 1/2 binary64))
(+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(-.f64 (/.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(/.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (neg.f64 (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(/.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) (-.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (-.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))))
(*.f64 (-.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 x)) (+.f64 eps #s(literal -1 binary64))))
(pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))
(pow.f64 (exp.f64 (+.f64 eps #s(literal -1 binary64))) x)
(*.f64 (pow.f64 (exp.f64 x) #s(literal -1 binary64)) (pow.f64 (exp.f64 x) eps))
(*.f64 (pow.f64 (exp.f64 x) eps) (pow.f64 (exp.f64 x) #s(literal -1 binary64)))
(*.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 x)))
(*.f64 (pow.f64 (exp.f64 x) (/.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 x) (/.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 2 binary64))))
(+.f64 (*.f64 x eps) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 x eps))
(-.f64 (*.f64 x eps) x)
(fma.f64 x eps (neg.f64 x))
(fma.f64 eps x (neg.f64 x))
(/.f64 (+.f64 (pow.f64 (*.f64 x eps) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (*.f64 x eps) (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (*.f64 x eps) (neg.f64 x)))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps))))
(/.f64 (*.f64 x (+.f64 (*.f64 eps eps) #s(literal -1 binary64))) (+.f64 eps #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps))))
(/.f64 (*.f64 (+.f64 (*.f64 eps eps) #s(literal -1 binary64)) x) (+.f64 eps #s(literal 1 binary64)))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(*.f64 (+.f64 eps #s(literal -1 binary64)) x)
(+.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 (*.f64 #s(literal 1/2 binary64) x) (+.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)))))))))
(+.f64 (*.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 (*.f64 #s(literal 1/2 binary64) x) (+.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)))))))) #s(literal 1 binary64))
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(/.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 1/6 binary64)))))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (-.f64 (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal 1/6 binary64)))) #s(literal 1/2 binary64)))) x) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (-.f64 (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal 1/6 binary64)))) #s(literal 1/2 binary64))))
(*.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)))))))
(*.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))))) x))
(*.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)))))) x)
(*.f64 (*.f64 x (*.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))))))
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(+.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal 1/6 binary64)))) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal 1/6 binary64)))) (-.f64 #s(literal 1 binary64) eps)))
(+.f64 (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal 1/6 binary64))))) eps) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal 1/6 binary64))))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal 1/6 binary64))))) #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal 1/6 binary64))))) eps))
(+.f64 (*.f64 (*.f64 eps (*.f64 x #s(literal 1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))
(+.f64 (*.f64 (*.f64 eps (+.f64 eps #s(literal -1 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 #s(literal -1/6 binary64) (*.f64 eps #s(literal 1/6 binary64))))))
(+.f64 (*.f64 eps (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal 1/6 binary64)))))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal 1/6 binary64)))))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal 1/6 binary64)))))) (*.f64 eps (*.f64 (+.f64 eps #s(literal -1 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 x (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal 1/6 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps))))
(/.f64 (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal 1/6 binary64))))) (+.f64 (*.f64 eps eps) #s(literal -1 binary64))) (+.f64 eps #s(literal 1 binary64)))
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(*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal 1/6 binary64))))))
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(*.f64 (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal 1/6 binary64)))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))
(*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 eps #s(literal 1/6 binary64))))) (+.f64 eps #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) 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 x #s(literal 1/6 binary64))) (+.f64 eps #s(literal -1 binary64)))

simplify396.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
6254×+-lowering-+.f64
6254×+-lowering-+.f32
5150×*-lowering-*.f32
5150×*-lowering-*.f64
1514×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
08959541
132358605
085258605
Stop Event
1×iter limit
1×node limit
Counts
504 → 504
Calls
Call 1
Inputs
1
(+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)))))
(+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(exp (* -1 x))
(+ (exp (* -1 x)) (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x)))))))
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))))
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
2
(+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1)))
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- eps 1) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))))) 1)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(* 2 (exp (* -1 x)))
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1
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1
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(+ (* -1/2 x) (* 1/2 (* (pow eps 2) x)))
(+ (* -1/2 x) (* 1/2 (* (pow eps 2) x)))
(+ (* -1/2 x) (* 1/2 (* (pow eps 2) x)))
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(/ 1/2 eps)
(/ (+ 1/2 (* -1/2 eps)) eps)
(/ (+ 1/2 (* eps (- (* -1/2 eps) 1/2))) eps)
(/ (+ 1/2 (* eps (- (* eps (- (* 1/2 eps) 1/2)) 1/2))) eps)
(* 1/2 (pow eps 2))
(* (pow eps 2) (- 1/2 (* 1/2 (/ 1 eps))))
(* (pow eps 2) (+ 1/2 (* -1 (/ (+ 1/2 (* 1/2 (/ 1 eps))) eps))))
(* (pow eps 2) (- (+ 1/2 (* 1/2 (/ 1 (pow eps 3)))) (+ (/ 1/2 (pow eps 2)) (* 1/2 (/ 1 eps)))))
(* 1/2 (pow eps 2))
(* (pow eps 2) (- 1/2 (* 1/2 (/ 1 eps))))
(* (pow eps 2) (+ 1/2 (* -1 (/ (+ 1/2 (* 1/2 (/ 1 eps))) eps))))
(* (pow eps 2) (+ 1/2 (* -1 (/ (+ 1/2 (* -1 (/ (- (* 1/2 (/ 1 eps)) 1/2) eps))) 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
(- (* 1/2 (/ 1 eps)) 1/2)
(- (* 1/2 (/ 1 eps)) 1/2)
(- (* 1/2 (/ 1 eps)) 1/2)
(* 1/2 (* x (pow (- eps 1) 2)))
(* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))
(* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))
(* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))
(* 1/6 (* (pow x 2) (pow (- eps 1) 3)))
(* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))
(* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))
(* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))
(* 1/6 (* (pow x 2) (pow (- eps 1) 3)))
(* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))
(* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))
(* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))
(* x (+ 1/2 (* -1/6 x)))
(+ (* eps (* x (- (* 1/2 x) 1))) (* x (+ 1/2 (* -1/6 x))))
(+ (* eps (+ (* eps (* x (+ 1/2 (* -1/2 x)))) (* x (- (* 1/2 x) 1)))) (* x (+ 1/2 (* -1/6 x))))
(+ (* eps (+ (* eps (+ (* 1/6 (* eps (pow x 2))) (* x (+ 1/2 (* -1/2 x))))) (* x (- (* 1/2 x) 1)))) (* x (+ 1/2 (* -1/6 x))))
(* 1/6 (* (pow eps 3) (pow x 2)))
(* (pow eps 3) (+ (* 1/6 (pow x 2)) (/ (* x (+ 1/2 (* -1/2 x))) eps)))
(* (pow eps 3) (+ (* 1/6 (pow x 2)) (+ (/ (* x (+ 1/2 (* -1/2 x))) eps) (/ (* x (- (* 1/2 x) 1)) (pow eps 2)))))
(* (pow eps 3) (+ (* 1/6 (pow x 2)) (+ (/ (* x (+ 1/2 (* -1/2 x))) eps) (+ (/ (* x (+ 1/2 (* -1/6 x))) (pow eps 3)) (/ (* x (- (* 1/2 x) 1)) (pow eps 2))))))
(* 1/6 (* (pow eps 3) (pow x 2)))
(* -1 (* (pow eps 3) (+ (* -1 (/ (* x (+ 1/2 (* -1/2 x))) eps)) (* -1/6 (pow x 2)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (* x (+ 1 (* -1/2 x))) eps)) (* x (+ 1/2 (* -1/2 x)))) eps)) (* -1/6 (pow x 2)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (+ 1/2 (* -1/6 x))) eps)) (* x (+ 1 (* -1/2 x)))) eps)) (* x (+ 1/2 (* -1/2 x)))) eps)) (* -1/6 (pow x 2)))))
(* 1/6 (* x (pow (- eps 1) 3)))
(* 1/6 (* x (pow (- eps 1) 3)))
(* 1/6 (* x (pow (- eps 1) 3)))
(* 1/6 (* x (pow (- eps 1) 3)))
(* 1/6 (* x (pow (- eps 1) 3)))
(* 1/6 (* x (pow (- eps 1) 3)))
(* 1/6 (* x (pow (- eps 1) 3)))
(* 1/6 (* x (pow (- eps 1) 3)))
(* 1/6 (* x (pow (- eps 1) 3)))
(* 1/6 (* x (pow (- eps 1) 3)))
(* 1/6 (* x (pow (- eps 1) 3)))
(* 1/6 (* x (pow (- eps 1) 3)))
(* -1/6 x)
(+ (* -1/6 x) (* 1/2 (* eps x)))
(+ (* -1/6 x) (* eps (+ (* -1/2 (* eps x)) (* 1/2 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)) (+ (* 1/6 x) (* 1/2 (/ x (pow eps 2))))))
(* (pow eps 3) (+ (* -1/2 (/ x eps)) (+ (* -1/6 (/ x (pow eps 3))) (+ (* 1/6 x) (* 1/2 (/ x (pow eps 2)))))))
(* 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 (/ (+ (* -1/2 x) (* 1/6 (/ x eps))) eps)) (* -1/2 x)) eps)) (* -1/6 x))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) (+.f64 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))))))
(+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (-.f64 #s(literal -1 binary64) eps))) #s(literal -1/2 binary64)) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #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 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64)))
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))))))
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 x x))) #s(literal 0 binary64))))
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (* -1 x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (* -1 x))))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))
(+.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 eps (+.f64 (*.f64 eps (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 x x)) (*.f64 eps #s(literal 0 binary64))))) #s(literal 0 binary64))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) eps))))))
2
#s(literal 2 binary64)
(+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))
(+.f64 (*.f64 x (+.f64 eps (+.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal -1 binary64)))) #s(literal 2 binary64))
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1)))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 eps (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))) #s(literal -1 binary64)))))
(+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- eps 1) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))))) 1)))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (+.f64 (+.f64 eps (-.f64 #s(literal -1 binary64) eps)) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 x (+.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 1/6 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))))))) #s(literal -1 binary64))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 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 #s(literal 2 binary64) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (*.f64 eps #s(literal 0 binary64)))
(+ (* 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 #s(literal 0 binary64) (*.f64 eps (+.f64 (*.f64 (exp.f64 (-.f64 #s(literal 0 binary64) x)) (*.f64 x x)) (*.f64 eps #s(literal 0 binary64)))))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 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 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal -1 binary64)))))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
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(exp (* x (- eps 1)))
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(*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))
(* 1/6 (* x (pow (- eps 1) 3)))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))
(* 1/6 (* x (pow (- eps 1) 3)))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))
(* 1/6 (* x (pow (- eps 1) 3)))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))
(* 1/6 (* x (pow (- eps 1) 3)))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))
(* 1/6 (* x (pow (- eps 1) 3)))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))
(* 1/6 (* x (pow (- eps 1) 3)))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))
(* 1/6 (* x (pow (- eps 1) 3)))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))
(* 1/6 (* x (pow (- eps 1) 3)))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))
(* 1/6 (* x (pow (- eps 1) 3)))
(*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(+ (* -1/6 x) (* 1/2 (* eps x)))
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) eps)))
(+ (* -1/6 x) (* eps (+ (* -1/2 (* eps x)) (* 1/2 x))))
(+.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 eps #s(literal -1/2 binary64))))))
(+ (* -1/6 x) (* eps (+ (* 1/2 x) (* eps (+ (* -1/2 x) (* 1/6 (* eps x)))))))
(+.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) eps)))))))
(* 1/6 (* (pow eps 3) x))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps))))
(* (pow eps 3) (+ (* -1/2 (/ x eps)) (* 1/6 x)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 (/.f64 x eps) #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/6 binary64))))
(* (pow eps 3) (+ (* -1/2 (/ x eps)) (+ (* 1/6 x) (* 1/2 (/ x (pow eps 2))))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (+.f64 (*.f64 (/.f64 x eps) #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/6 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps eps))))
(* (pow eps 3) (+ (* -1/2 (/ x eps)) (+ (* -1/6 (/ x (pow eps 3))) (+ (* 1/6 x) (* 1/2 (/ x (pow eps 2)))))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (+.f64 (+.f64 (*.f64 (/.f64 x eps) #s(literal -1/2 binary64)) (*.f64 x #s(literal 1/6 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps eps))) (/.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 eps (*.f64 eps eps)))))
(* 1/6 (* (pow eps 3) x))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -1/6 x) (* 1/2 (/ x eps)))))
(*.f64 (+.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ x eps))) eps)) (* -1/6 x))))
(*.f64 (-.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) x) eps)) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 x) (* 1/6 (/ x eps))) eps)) (* -1/2 x)) eps)) (* -1/6 x))))
(*.f64 (-.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) eps)) eps)) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps))))

eval330.0ms (2.2%)

Compiler

Compiled 76179 to 4436 computations (94.2% saved)

prune166.0ms (1.1%)

Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New1423211444
Fresh314
Picked415
Done000
Total1430231453
Accuracy
100.0%
Counts
1453 → 23
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)))
49.9%
(-.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 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
32.7%
(-.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 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
39.3%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (*.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (*.f64 (*.f64 x eps) (+.f64 #s(literal 1/2 binary64) (*.f64 x #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))))
▶35.4%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
35.9%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
▶34.1%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
▶40.2%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
70.3%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x)))
48.1%
(+.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 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))
42.2%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.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 #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 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
▶72.9%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps)))))
62.9%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
9.2%
(*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64))) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps))))
55.0%
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
9.2%
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) eps) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) eps)))
38.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
22.4%
(*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
66.1%
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
62.5%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)))
19.5%
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.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))))))
▶67.0%
(exp.f64 (-.f64 #s(literal 0 binary64) x))
✓41.2%
#s(literal 1 binary64)
Compiler

Compiled 1265 to 709 computations (44% saved)

simplify225.0ms (1.5%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 #s(literal 0 binary64) x)
✓cost-diff0
(exp.f64 (-.f64 #s(literal 0 binary64) x))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64)))))
✓cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))
✓cost-diff0
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
✓cost-diff512
(+.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) eps)
✓cost-diff0
(*.f64 x (+.f64 #s(literal 1 binary64) eps))
✓cost-diff0
(*.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 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
✓cost-diff0
(*.f64 x (*.f64 eps eps))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps)))
✓cost-diff0
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps)))))
Rules
2712×*-lowering-*.f32
2712×*-lowering-*.f64
2594×+-lowering-+.f64
2594×+-lowering-+.f32
1630×fma-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
040332
1138315
2583301
32872298
45682298
08110298
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ 1 (* x (* 1/2 (* x (* eps eps)))))
1
(* x (* 1/2 (* x (* eps eps))))
x
(* 1/2 (* x (* eps eps)))
1/2
(* x (* eps eps))
(* eps eps)
eps
(+ 1 (* (* x x) -1/2))
1
(* (* x x) -1/2)
(* x x)
x
-1/2
(+ 1 (* (* x (+ 1 eps)) (+ (/ 1/2 eps) -1/2)))
1
(* (* x (+ 1 eps)) (+ (/ 1/2 eps) -1/2))
(* x (+ 1 eps))
x
(+ 1 eps)
eps
(+ (/ 1/2 eps) -1/2)
(/ 1/2 eps)
1/2
-1/2
(- (* (+ 1 (* x (+ eps (+ (* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))) -1)))) (- 1/2 (/ -1/2 eps))) (+ (/ 1/2 eps) -1/2))
(* (+ 1 (* x (+ eps (+ (* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))) -1)))) (- 1/2 (/ -1/2 eps)))
(+ 1 (* x (+ eps (+ (* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))) -1))))
1
(* x (+ eps (+ (* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))) -1)))
x
(+ eps (+ (* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))) -1))
eps
(+ (* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))) -1)
(* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1)))))
(+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))
(* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1)))
(* (* x 1/6) (+ eps -1))
(* x 1/6)
1/6
(+ eps -1)
-1
(* (+ eps -1) (+ eps -1))
(* 1/2 (* (+ eps -1) (+ eps -1)))
1/2
(- 1/2 (/ -1/2 eps))
(/ -1/2 eps)
-1/2
(+ (/ 1/2 eps) -1/2)
(/ 1/2 eps)
(exp (- 0 x))
(- 0 x)
0
x
Outputs
(+ 1 (* x (* 1/2 (* x (* eps eps)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 eps (*.f64 #s(literal 1/2 binary64) eps)))))
1
#s(literal 1 binary64)
(* x (* 1/2 (* x (* eps eps))))
(*.f64 x (*.f64 x (*.f64 eps (*.f64 #s(literal 1/2 binary64) eps))))
x
(* 1/2 (* x (* eps eps)))
(*.f64 x (*.f64 eps (*.f64 #s(literal 1/2 binary64) eps)))
1/2
#s(literal 1/2 binary64)
(* x (* eps eps))
(*.f64 x (*.f64 eps eps))
(* eps eps)
(*.f64 eps eps)
eps
(+ 1 (* (* x x) -1/2))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
1
#s(literal 1 binary64)
(* (* x x) -1/2)
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(* x x)
(*.f64 x x)
x
-1/2
#s(literal -1/2 binary64)
(+ 1 (* (* x (+ 1 eps)) (+ (/ 1/2 eps) -1/2)))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))
1
#s(literal 1 binary64)
(* (* x (+ 1 eps)) (+ (/ 1/2 eps) -1/2))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(* x (+ 1 eps))
(*.f64 x (+.f64 #s(literal 1 binary64) eps))
x
(+ 1 eps)
(+.f64 #s(literal 1 binary64) eps)
eps
(+ (/ 1/2 eps) -1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
(/ 1/2 eps)
(/.f64 #s(literal 1/2 binary64) eps)
1/2
#s(literal 1/2 binary64)
-1/2
#s(literal -1/2 binary64)
(- (* (+ 1 (* x (+ eps (+ (* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))) -1)))) (- 1/2 (/ -1/2 eps))) (+ (/ 1/2 eps) -1/2))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.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) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))
(* (+ 1 (* x (+ eps (+ (* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))) -1)))) (- 1/2 (/ -1/2 eps)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.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) (/.f64 #s(literal 1/2 binary64) eps)))
(+ 1 (* x (+ eps (+ (* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))) -1))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 eps #s(literal -1 binary64))))))))))))
1
#s(literal 1 binary64)
(* x (+ eps (+ (* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))) -1)))
(*.f64 x (+.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 eps #s(literal -1 binary64)))))))))))
x
(+ eps (+ (* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))) -1))
(+.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 eps #s(literal -1 binary64))))))))))
eps
(+ (* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))) -1)
(+.f64 #s(literal -1 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 eps #s(literal -1 binary64)))))))))
(* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1)))))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 eps #s(literal -1 binary64))))))))
(+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 eps #s(literal -1 binary64)))))))
(* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1)))
(*.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 eps #s(literal -1 binary64))) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))
(* (* x 1/6) (+ eps -1))
(*.f64 x (*.f64 #s(literal 1/6 binary64) (+.f64 eps #s(literal -1 binary64))))
(* x 1/6)
(*.f64 x #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)
(+ eps -1)
(+.f64 eps #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(* (+ eps -1) (+ eps -1))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))
(* 1/2 (* (+ eps -1) (+ eps -1)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))
1/2
#s(literal 1/2 binary64)
(- 1/2 (/ -1/2 eps))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
(/ -1/2 eps)
(/.f64 #s(literal -1/2 binary64) eps)
-1/2
#s(literal -1/2 binary64)
(+ (/ 1/2 eps) -1/2)
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
(/ 1/2 eps)
(/.f64 #s(literal 1/2 binary64) eps)
(exp (- 0 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
x

localize274.0ms (1.8%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) x)
✓accuracy100.0%
(exp.f64 (-.f64 #s(literal 0 binary64) x))
✓accuracy98.5%
(*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))
✓accuracy93.7%
(*.f64 x (+.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))))
✓accuracy87.6%
(+.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))
✓accuracy78.1%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) eps)
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal 1 binary64) eps))
✓accuracy99.8%
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
✓accuracy100.0%
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 eps eps)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps)))
✓accuracy94.4%
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))))
✓accuracy91.0%
(*.f64 x (*.f64 eps eps))
Results
107.0ms193×0valid
66.0ms53×1valid
16.0ms9×2valid
3.0ms1×5exit
Compiler

Compiled 449 to 41 computations (90.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 82.0ms
ival-mult: 34.0ms (41.6% of total)
ival-add: 16.0ms (19.6% of total)
...c/correct-round.rkt:119:19: 9.0ms (11% of total)
backward-pass: 9.0ms (11% of total)
ival-div: 5.0ms (6.1% of total)
ival-sub: 4.0ms (4.9% of total)
ival-exp: 2.0ms (2.4% of total)
const: 1.0ms (1.2% of total)

series25.0ms (0.2%)

Counts
21 → 408
Calls
Call 1
Inputs
#<alt (+ 1 (* x (* 1/2 (* x (* eps eps)))))>
#<alt (* x (* 1/2 (* x (* eps eps))))>
#<alt (* 1/2 (* x (* eps eps)))>
#<alt (* x (* eps eps))>
#<alt (+ 1 (* (* x x) -1/2))>
#<alt (* (* x x) -1/2)>
#<alt (* x x)>
#<alt (+ 1 (* (* x (+ 1 eps)) (+ (/ 1/2 eps) -1/2)))>
#<alt (* (* x (+ 1 eps)) (+ (/ 1/2 eps) -1/2))>
#<alt (* x (+ 1 eps))>
#<alt (+ 1 eps)>
#<alt (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))>
#<alt (- (* (+ 1 (* x (+ eps (+ (* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))) -1)))) (- 1/2 (/ -1/2 eps))) (+ (/ 1/2 eps) -1/2))>
#<alt (* (+ 1 (* x (+ eps (+ (* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))) -1)))) (- 1/2 (/ -1/2 eps)))>
#<alt (+ 1 (* x (+ eps (+ (* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))) -1))))>
#<alt (exp (- 0 x))>
#<alt (- 0 x)>
#<alt (* eps eps)>
#<alt (+ (/ 1/2 eps) -1/2)>
#<alt (* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1)))))>
#<alt (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1)))>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* -1/2 (pow x 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (+ 1 (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (+ 1 (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))>
#<alt (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (* x (+ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (/ 1 x)))>
#<alt (* x (+ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (/ 1 x)))>
#<alt (* x (+ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) (/ 1 x)))>
#<alt (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))) (/ 1 x))))>
#<alt (* -1 (* x (- (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))) (/ 1 x))))>
#<alt (* 1/2 (/ x eps))>
#<alt (/ (+ eps (* 1/2 x)) eps)>
#<alt (/ (+ (* 1/2 x) (* eps (+ 1 (* -1/2 (* eps x))))) eps)>
#<alt (/ (+ (* 1/2 x) (* eps (+ 1 (* -1/2 (* eps x))))) eps)>
#<alt (* -1/2 (* eps x))>
#<alt (* eps (+ (* -1/2 x) (/ 1 eps)))>
#<alt (* eps (+ (* -1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ 1 eps))))>
#<alt (* eps (+ (* -1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ 1 eps))))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1 (* eps (- (* 1/2 x) (/ 1 eps))))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ 1 (* 1/2 (/ x eps))) eps)) (* 1/2 x))))>
#<alt (* -1 (* eps (+ (* -1 (/ (+ 1 (* 1/2 (/ x eps))) eps)) (* 1/2 x))))>
#<alt (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (* x (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)))>
#<alt (* 1/2 (/ x eps))>
#<alt (/ (+ (* -1/2 (* (pow eps 2) x)) (* 1/2 x)) eps)>
#<alt (/ (+ (* -1/2 (* (pow eps 2) x)) (* 1/2 x)) eps)>
#<alt (/ (+ (* -1/2 (* (pow eps 2) x)) (* 1/2 x)) eps)>
#<alt (* -1/2 (* eps x))>
#<alt (* eps (+ (* -1/2 x) (* 1/2 (/ x (pow eps 2)))))>
#<alt (* eps (+ (* -1/2 x) (* 1/2 (/ x (pow eps 2)))))>
#<alt (* eps (+ (* -1/2 x) (* 1/2 (/ x (pow eps 2)))))>
#<alt (* -1/2 (* eps x))>
#<alt (* -1 (* eps (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x))))>
#<alt (* -1 (* eps (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x))))>
#<alt (* -1 (* eps (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x))))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt x>
#<alt (+ x (* eps x))>
#<alt (+ x (* eps x))>
#<alt (+ x (* eps x))>
#<alt (* eps x)>
#<alt (* eps (+ x (/ x eps)))>
#<alt (* eps (+ x (/ x eps)))>
#<alt (* eps (+ x (/ x eps)))>
#<alt (* eps x)>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))>
#<alt 1>
#<alt (+ 1 eps)>
#<alt (+ 1 eps)>
#<alt (+ 1 eps)>
#<alt eps>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt eps>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt (* eps (+ 1 (/ 1 eps)))>
#<alt (* 1/2 (pow (- eps 1) 2))>
#<alt (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2)))>
#<alt (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2)))>
#<alt (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2)))>
#<alt (* 1/6 (* x (pow (- eps 1) 3)))>
#<alt (* x (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))>
#<alt (* x (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))>
#<alt (* x (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))>
#<alt (* 1/6 (* x (pow (- eps 1) 3)))>
#<alt (* -1 (* x (+ (* -1/2 (/ (pow (- eps 1) 2) x)) (* -1/6 (pow (- eps 1) 3)))))>
#<alt (* -1 (* x (+ (* -1/2 (/ (pow (- eps 1) 2) x)) (* -1/6 (pow (- eps 1) 3)))))>
#<alt (* -1 (* x (+ (* -1/2 (/ (pow (- eps 1) 2) x)) (* -1/6 (pow (- eps 1) 3)))))>
#<alt (+ 1/2 (* -1/6 x))>
#<alt (+ 1/2 (+ (* -1/6 x) (* eps (- (* 1/2 x) 1))))>
#<alt (+ 1/2 (+ (* -1/6 x) (* eps (- (+ (* 1/2 x) (* eps (+ 1/2 (* -1/2 x)))) 1))))>
#<alt (+ 1/2 (+ (* -1/6 x) (* eps (- (+ (* 1/2 x) (* eps (+ 1/2 (+ (* -1/2 x) (* 1/6 (* eps x)))))) 1))))>
#<alt (* 1/6 (* (pow eps 3) x))>
#<alt (* (pow eps 3) (+ (* -1/2 (/ x eps)) (+ (* 1/6 x) (* 1/2 (/ 1 eps)))))>
#<alt (* (pow eps 3) (- (+ (* -1/2 (/ x eps)) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow eps 2))) (* 1/2 (/ 1 eps))))) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 3) (- (+ (* -1/2 (/ x eps)) (+ (* -1/6 (/ x (pow eps 3))) (+ (* 1/6 x) (+ (* 1/2 (/ x (pow eps 2))) (+ (* 1/2 (/ 1 eps)) (* 1/2 (/ 1 (pow eps 3)))))))) (/ 1 (pow eps 2))))>
#<alt (* 1/6 (* (pow eps 3) x))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/2 (* -1/2 x)) eps)) (* -1/6 x))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1 (* -1/2 x)) eps)) (* -1/2 x))) eps)) (* -1/6 x))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1/2 (* -1/6 x)) eps)) (* -1/2 x))) eps)) (* -1/2 x))) eps)) (* -1/6 x))))>
#<alt 1>
#<alt (+ 1 (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))))>
#<alt (+ 1 (* x (+ (* 1/2 (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))))>
#<alt (+ 1 (* x (+ (* 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 (* 1/6 (* (pow x 3) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3))))>
#<alt (* (pow x 3) (+ (* 1/6 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3))) (* 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))) (+ (* 1/2 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)) x)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/6 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3))) (+ (* 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))))))>
#<alt (* 1/6 (* (pow x 3) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3))))>
#<alt (* -1 (* (pow x 3) (+ (* -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))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)) x)) (* -1/6 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (/ 1 x)) x)) (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)))) x)) (* -1/6 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3))))))>
#<alt (/ (- (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) 1/2) eps)>
#<alt (/ (- (+ (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (* eps (+ 1/2 (+ (* 1/2 (* x (+ 1 (* x (- (* 1/2 x) 1))))) (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))))) 1/2) eps)>
#<alt (/ (- (+ (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (* eps (+ 1/2 (+ (* 1/2 (* x (+ 1 (* x (- (* 1/2 x) 1))))) (+ (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (* eps (+ (* 1/2 (* x (+ 1 (* x (- (* 1/2 x) 1))))) (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x))))))))))) 1/2) eps)>
#<alt (/ (- (+ (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (* eps (+ 1/2 (+ (* 1/2 (* x (+ 1 (* x (- (* 1/2 x) 1))))) (+ (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (* eps (+ (* 1/2 (* x (+ 1 (* x (- (* 1/2 x) 1))))) (+ (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* eps (+ (* 1/12 (pow x 3)) (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))))))))))))) 1/2) eps)>
#<alt (* 1/12 (* (pow eps 3) (pow x 3)))>
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#<alt (* (pow eps 3) (+ (* 1/12 (/ (pow x 3) eps)) (+ (* 1/12 (pow x 3)) (+ (* 1/2 (/ (* x (+ 1 (* x (- (* 1/2 x) 1)))) (pow eps 2))) (+ (* 1/2 (/ (* x (+ 1 (* x (- (* 1/2 x) 1)))) (pow eps 3))) (+ (* 1/2 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps)) (+ (* 1/2 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow eps 2))) (+ (* 1/2 (/ (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) (pow eps 3))) (* 1/2 (/ 1 (pow eps 3)))))))))))>
#<alt (* 1/12 (* (pow eps 3) (pow x 3)))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* 1/12 (pow x 3)) (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x))))) eps)) (* -1/12 (pow x 3)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* 1/2 (* x (- (* x (+ 1 (* -1/2 x))) 1)))) eps)) (+ (* 1/12 (pow x 3)) (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))))) eps)) (* -1/12 (pow x 3)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (+ (* -1/2 (* x (- (* x (+ 1 (* -1/2 x))) 1))) (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))) eps)) (+ (* -1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* 1/2 (* x (- (* x (+ 1 (* -1/2 x))) 1))))) eps)) (+ (* 1/12 (pow x 3)) (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))))) eps)) (* -1/12 (pow x 3)))))>
#<alt (+ 1/2 (* 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 (* 1/6 (* (pow x 3) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3))))>
#<alt (* (pow x 3) (+ (* 1/6 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3))) (* 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))) (+ (* 1/2 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)) x)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (pow x 2)))))>
#<alt (* (pow x 3) (+ (* 1/6 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3))) (+ (* 1/2 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)) x)) (+ (/ 1/2 (* eps (pow x 3))) (+ (* 1/2 (/ 1 (pow x 3))) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (pow x 2)))))))>
#<alt (* 1/6 (* (pow x 3) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3))))>
#<alt (* -1 (* (pow x 3) (+ (* -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))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)) x)) (* -1/6 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (* -1 (/ (+ 1/2 (* 1/2 (/ 1 eps))) 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))))))>
#<alt (* 1/2 (/ (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) eps))>
#<alt (/ (+ (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (* eps (+ (* 1/2 (* x (+ 1 (* x (- (* 1/2 x) 1))))) (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))))) eps)>
#<alt (/ (+ (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (* eps (+ (* 1/2 (* x (+ 1 (* x (- (* 1/2 x) 1))))) (+ (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (* eps (+ (* 1/2 (* x (+ 1 (* x (- (* 1/2 x) 1))))) (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))))))))) eps)>
#<alt (/ (+ (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (* eps (+ (* 1/2 (* x (+ 1 (* x (- (* 1/2 x) 1))))) (+ (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (* eps (+ (* 1/2 (* x (+ 1 (* x (- (* 1/2 x) 1))))) (+ (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* eps (+ (* 1/12 (pow x 3)) (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x))))))))))))) eps)>
#<alt (* 1/12 (* (pow eps 3) (pow x 3)))>
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#<alt (* (pow eps 3) (+ (* 1/12 (/ (pow x 3) eps)) (+ (* 1/12 (pow x 3)) (+ (* 1/2 (/ (* x (+ 1 (* x (- (* 1/2 x) 1)))) (pow eps 2))) (+ (* 1/2 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps)) (* 1/2 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow eps 2))))))))>
#<alt (* (pow eps 3) (+ (* 1/12 (/ (pow x 3) eps)) (+ (* 1/12 (pow x 3)) (+ (* 1/2 (/ (* x (+ 1 (* x (- (* 1/2 x) 1)))) (pow eps 2))) (+ (* 1/2 (/ (* x (+ 1 (* x (- (* 1/2 x) 1)))) (pow eps 3))) (+ (* 1/2 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps)) (+ (* 1/2 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow eps 2))) (* 1/2 (/ (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) (pow eps 3))))))))))>
#<alt (* 1/12 (* (pow eps 3) (pow x 3)))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* 1/12 (pow x 3)) (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x))))) eps)) (* -1/12 (pow x 3)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* 1/2 (* x (- (* x (+ 1 (* -1/2 x))) 1)))) eps)) (+ (* 1/12 (pow x 3)) (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))))) eps)) (* -1/12 (pow x 3)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* x (- (* x (+ 1 (* -1/2 x))) 1))) (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))) eps)) (+ (* -1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* 1/2 (* x (- (* x (+ 1 (* -1/2 x))) 1))))) eps)) (+ (* 1/12 (pow x 3)) (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))))) eps)) (* -1/12 (pow x 3)))))>
#<alt 1>
#<alt (+ 1 (* x (- eps 1)))>
#<alt (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))>
#<alt (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))>
#<alt (* 1/6 (* (pow x 3) (pow (- eps 1) 3)))>
#<alt (* (pow x 3) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))>
#<alt (* (pow x 3) (- (+ (* 1/6 (pow (- eps 1) 3)) (+ (* 1/2 (/ (pow (- eps 1) 2) x)) (/ eps (pow x 2)))) (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (- (+ (* 1/6 (pow (- eps 1) 3)) (+ (* 1/2 (/ (pow (- eps 1) 2) x)) (+ (/ 1 (pow x 3)) (/ eps (pow x 2))))) (/ 1 (pow x 2))))>
#<alt (* 1/6 (* (pow x 3) (pow (- eps 1) 3)))>
#<alt (* -1 (* (pow x 3) (+ (* -1/2 (/ (pow (- eps 1) 2) x)) (* -1/6 (pow (- eps 1) 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (* 1/2 (pow (- eps 1) 2)) (/ eps x)) (/ 1 x)) x)) (* -1/6 (pow (- eps 1) 3)))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (- eps 1)) (/ 1 x)) x)) (* 1/2 (pow (- eps 1) 2))) x)) (* -1/6 (pow (- eps 1) 3)))))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (+ 1 (+ (* eps (* x (+ 1 (* x (- (* 1/2 x) 1))))) (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))>
#<alt (+ 1 (+ (* eps (+ (* eps (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* x (+ 1 (* x (- (* 1/2 x) 1)))))) (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))>
#<alt (+ 1 (+ (* eps (+ (* eps (+ (* 1/6 (* eps (pow x 3))) (* (pow x 2) (+ 1/2 (* -1/2 x))))) (* x (+ 1 (* x (- (* 1/2 x) 1)))))) (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))>
#<alt (* 1/6 (* (pow eps 3) (pow x 3)))>
#<alt (* (pow eps 3) (+ (* 1/6 (pow x 3)) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps)))>
#<alt (* (pow eps 3) (+ (* 1/6 (pow x 3)) (+ (/ (* x (+ 1 (* x (- (* 1/2 x) 1)))) (pow eps 2)) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps))))>
#<alt (* (pow eps 3) (+ (* 1/6 (pow x 3)) (+ (/ 1 (pow eps 3)) (+ (/ (* x (+ 1 (* x (- (* 1/2 x) 1)))) (pow eps 2)) (+ (/ (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) (pow eps 3)) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps))))))>
#<alt (* 1/6 (* (pow eps 3) (pow x 3)))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* x (+ 1 (* -1/2 x))) 1)) eps)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) eps)) (* -1/6 (pow x 3)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) eps)) (* x (- (* x (+ 1 (* -1/2 x))) 1))) eps)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) eps)) (* -1/6 (pow x 3)))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (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 (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 (/ 1/2 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)>
#<alt -1/2>
#<alt (- (* 1/2 (/ 1 eps)) 1/2)>
#<alt (- (* 1/2 (/ 1 eps)) 1/2)>
#<alt (- (* 1/2 (/ 1 eps)) 1/2)>
#<alt (* 1/2 (* x (pow (- eps 1) 2)))>
#<alt (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))>
#<alt (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))>
#<alt (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))>
#<alt (* 1/6 (* (pow x 2) (pow (- eps 1) 3)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))>
#<alt (* 1/6 (* (pow x 2) (pow (- eps 1) 3)))>
#<alt (* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))>
#<alt (* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))>
#<alt (* x (+ 1/2 (* -1/6 x)))>
#<alt (+ (* eps (* x (- (* 1/2 x) 1))) (* x (+ 1/2 (* -1/6 x))))>
#<alt (+ (* eps (+ (* eps (* x (+ 1/2 (* -1/2 x)))) (* x (- (* 1/2 x) 1)))) (* x (+ 1/2 (* -1/6 x))))>
#<alt (+ (* eps (+ (* eps (+ (* 1/6 (* eps (pow x 2))) (* x (+ 1/2 (* -1/2 x))))) (* x (- (* 1/2 x) 1)))) (* x (+ 1/2 (* -1/6 x))))>
#<alt (* 1/6 (* (pow eps 3) (pow x 2)))>
#<alt (* (pow eps 3) (+ (* 1/6 (pow x 2)) (/ (* x (+ 1/2 (* -1/2 x))) eps)))>
#<alt (* (pow eps 3) (+ (* 1/6 (pow x 2)) (+ (/ (* x (+ 1/2 (* -1/2 x))) eps) (/ (* x (- (* 1/2 x) 1)) (pow eps 2)))))>
#<alt (* (pow eps 3) (+ (* 1/6 (pow x 2)) (+ (/ (* x (+ 1/2 (* -1/2 x))) eps) (+ (/ (* x (+ 1/2 (* -1/6 x))) (pow eps 3)) (/ (* x (- (* 1/2 x) 1)) (pow eps 2))))))>
#<alt (* 1/6 (* (pow eps 3) (pow x 2)))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (* x (+ 1/2 (* -1/2 x))) eps)) (* -1/6 (pow x 2)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (* x (+ 1 (* -1/2 x))) eps)) (* x (+ 1/2 (* -1/2 x)))) eps)) (* -1/6 (pow x 2)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (+ 1/2 (* -1/6 x))) eps)) (* x (+ 1 (* -1/2 x)))) eps)) (* x (+ 1/2 (* -1/2 x)))) eps)) (* -1/6 (pow x 2)))))>
#<alt (* 1/6 (* x (pow (- eps 1) 3)))>
#<alt (* 1/6 (* x (pow (- eps 1) 3)))>
#<alt (* 1/6 (* x (pow (- eps 1) 3)))>
#<alt (* 1/6 (* x (pow (- eps 1) 3)))>
#<alt (* 1/6 (* x (pow (- eps 1) 3)))>
#<alt (* 1/6 (* x (pow (- eps 1) 3)))>
#<alt (* 1/6 (* x (pow (- eps 1) 3)))>
#<alt (* 1/6 (* x (pow (- eps 1) 3)))>
#<alt (* 1/6 (* x (pow (- eps 1) 3)))>
#<alt (* 1/6 (* x (pow (- eps 1) 3)))>
#<alt (* 1/6 (* x (pow (- eps 1) 3)))>
#<alt (* 1/6 (* x (pow (- eps 1) 3)))>
#<alt (* -1/6 x)>
#<alt (+ (* -1/6 x) (* 1/2 (* eps x)))>
#<alt (+ (* -1/6 x) (* eps (+ (* -1/2 (* eps x)) (* 1/2 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)) (+ (* 1/6 x) (* 1/2 (/ x (pow eps 2))))))>
#<alt (* (pow eps 3) (+ (* -1/2 (/ x eps)) (+ (* -1/6 (/ x (pow eps 3))) (+ (* 1/6 x) (* 1/2 (/ x (pow eps 2)))))))>
#<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 (/ (+ (* -1/2 x) (* 1/6 (/ x eps))) eps)) (* -1/2 x)) eps)) (* -1/6 x))))>
Calls

102 calls:

TimeVariablePointExpression
7.0ms
eps
@inf
(* x (* 1/2 (* x (* eps eps))))
1.0ms
x
@0
(* 1/2 (* x (* eps eps)))
1.0ms
x
@0
(+ 1 (* x (* 1/2 (* x (* eps eps)))))
0.0ms
eps
@inf
(+ 1 (* x (* 1/2 (* x (* eps eps)))))
0.0ms
x
@inf
(+ 1 (* x (* 1/2 (* x (* eps eps)))))

rewrite372.0ms (2.4%)

Algorithm
1×batch-egg-rewrite
Rules
3088×*-lowering-*.f32
3088×*-lowering-*.f64
2616×fma-lowering-fma.f32
2616×fma-lowering-fma.f64
2040×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040212
1298198
23197190
08469190
Stop Event
1×iter limit
1×node limit
Counts
21 → 443
Calls
Call 1
Inputs
(+ 1 (* x (* 1/2 (* x (* eps eps)))))
(* x (* 1/2 (* x (* eps eps))))
(* 1/2 (* x (* eps eps)))
(* x (* eps eps))
(+ 1 (* (* x x) -1/2))
(* (* x x) -1/2)
(* x x)
(+ 1 (* (* x (+ 1 eps)) (+ (/ 1/2 eps) -1/2)))
(* (* x (+ 1 eps)) (+ (/ 1/2 eps) -1/2))
(* x (+ 1 eps))
(+ 1 eps)
(+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))
(- (* (+ 1 (* x (+ eps (+ (* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))) -1)))) (- 1/2 (/ -1/2 eps))) (+ (/ 1/2 eps) -1/2))
(* (+ 1 (* x (+ eps (+ (* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))) -1)))) (- 1/2 (/ -1/2 eps)))
(+ 1 (* x (+ eps (+ (* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1))))) -1))))
(exp (- 0 x))
(- 0 x)
(* eps eps)
(+ (/ 1/2 eps) -1/2)
(* x (+ (* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1))) (* 1/2 (* (+ eps -1) (+ eps -1)))))
(* (* (* x 1/6) (+ eps -1)) (* (+ eps -1) (+ eps -1)))
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)))) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x) #s(literal 1 binary64))
(fma.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64))) x #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 eps eps)) #s(literal 1 binary64))
(fma.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 eps eps) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (*.f64 eps eps) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x eps)) eps #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)))) x #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 eps eps)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) #s(literal 1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) #s(literal 1 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)))))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)))
(*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))
(*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64))) x)
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) #s(literal 1 binary64))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 eps eps)))
(*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 1/2 binary64))
(*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 eps eps))
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) (*.f64 eps eps))
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x eps)) eps)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)))) x)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x (*.f64 eps eps)))
(*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps)))
(*.f64 (*.f64 eps eps) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 x (*.f64 eps eps)) #s(literal 1/2 binary64))
(*.f64 (*.f64 x eps) (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 eps eps))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) x)
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)) eps)
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps)
(*.f64 x (*.f64 eps eps))
(*.f64 eps (*.f64 x eps))
(*.f64 (*.f64 eps eps) x)
(*.f64 (*.f64 x eps) eps)
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 x x))
(*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 x #s(literal -1/2 binary64)) x)
(+.f64 (*.f64 x x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
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(*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x #s(literal 1/6 binary64)))
(*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) x) (+.f64 (*.f64 #s(literal 1/6 binary64) eps) #s(literal -1/6 binary64)))
(*.f64 (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 x #s(literal 1/6 binary64))) (+.f64 eps #s(literal -1 binary64)))

simplify434.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
6604×*-lowering-*.f32
6604×*-lowering-*.f64
5106×+-lowering-+.f64
5106×+-lowering-+.f32
1816×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05985530
121444864
087734864
Stop Event
1×iter limit
1×node limit
Counts
408 → 408
Calls
Call 1
Inputs
1
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(* 1/12 (* (pow eps 3) (pow x 3)))
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(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (+ (* -1/2 (* x (- (* x (+ 1 (* -1/2 x))) 1))) (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))) eps)) (+ (* -1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* 1/2 (* x (- (* x (+ 1 (* -1/2 x))) 1))))) eps)) (+ (* 1/12 (pow x 3)) (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))))) eps)) (* -1/12 (pow x 3)))))
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(* 1/6 (* (pow x 3) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3))))
(* (pow x 3) (+ (* 1/6 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3))) (* 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))) (+ (* 1/2 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)) x)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (pow x 2)))))
(* (pow x 3) (+ (* 1/6 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3))) (+ (* 1/2 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)) x)) (+ (/ 1/2 (* eps (pow x 3))) (+ (* 1/2 (/ 1 (pow x 3))) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (pow x 2)))))))
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(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2))) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)) x)) (* -1/6 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (* -1 (/ (+ 1/2 (* 1/2 (/ 1 eps))) 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))))))
(* 1/2 (/ (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) eps))
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(/ (+ (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (* eps (+ (* 1/2 (* x (+ 1 (* x (- (* 1/2 x) 1))))) (+ (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (* eps (+ (* 1/2 (* x (+ 1 (* x (- (* 1/2 x) 1))))) (+ (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* eps (+ (* 1/12 (pow x 3)) (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x))))))))))))) eps)
(* 1/12 (* (pow eps 3) (pow x 3)))
(* (pow eps 3) (+ (* 1/12 (/ (pow x 3) eps)) (+ (* 1/12 (pow x 3)) (* 1/2 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps)))))
(* (pow eps 3) (+ (* 1/12 (/ (pow x 3) eps)) (+ (* 1/12 (pow x 3)) (+ (* 1/2 (/ (* x (+ 1 (* x (- (* 1/2 x) 1)))) (pow eps 2))) (+ (* 1/2 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps)) (* 1/2 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow eps 2))))))))
(* (pow eps 3) (+ (* 1/12 (/ (pow x 3) eps)) (+ (* 1/12 (pow x 3)) (+ (* 1/2 (/ (* x (+ 1 (* x (- (* 1/2 x) 1)))) (pow eps 2))) (+ (* 1/2 (/ (* x (+ 1 (* x (- (* 1/2 x) 1)))) (pow eps 3))) (+ (* 1/2 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps)) (+ (* 1/2 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow eps 2))) (* 1/2 (/ (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) (pow eps 3))))))))))
(* 1/12 (* (pow eps 3) (pow x 3)))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* 1/12 (pow x 3)) (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x))))) eps)) (* -1/12 (pow x 3)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* 1/2 (* x (- (* x (+ 1 (* -1/2 x))) 1)))) eps)) (+ (* 1/12 (pow x 3)) (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))))) eps)) (* -1/12 (pow x 3)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* x (- (* x (+ 1 (* -1/2 x))) 1))) (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))) eps)) (+ (* -1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* 1/2 (* x (- (* x (+ 1 (* -1/2 x))) 1))))) eps)) (+ (* 1/12 (pow x 3)) (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))))) eps)) (* -1/12 (pow x 3)))))
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)))
(* 1/6 (* (pow x 3) (pow (- eps 1) 3)))
(* (pow x 3) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))
(* (pow x 3) (- (+ (* 1/6 (pow (- eps 1) 3)) (+ (* 1/2 (/ (pow (- eps 1) 2) x)) (/ eps (pow x 2)))) (/ 1 (pow x 2))))
(* (pow x 3) (- (+ (* 1/6 (pow (- eps 1) 3)) (+ (* 1/2 (/ (pow (- eps 1) 2) x)) (+ (/ 1 (pow x 3)) (/ eps (pow x 2))))) (/ 1 (pow x 2))))
(* 1/6 (* (pow x 3) (pow (- eps 1) 3)))
(* -1 (* (pow x 3) (+ (* -1/2 (/ (pow (- eps 1) 2) x)) (* -1/6 (pow (- eps 1) 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (- (+ (* 1/2 (pow (- eps 1) 2)) (/ eps x)) (/ 1 x)) x)) (* -1/6 (pow (- eps 1) 3)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (- eps 1)) (/ 1 x)) x)) (* 1/2 (pow (- eps 1) 2))) x)) (* -1/6 (pow (- eps 1) 3)))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(+ 1 (+ (* eps (* x (+ 1 (* x (- (* 1/2 x) 1))))) (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))
(+ 1 (+ (* eps (+ (* eps (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* x (+ 1 (* x (- (* 1/2 x) 1)))))) (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))
(+ 1 (+ (* eps (+ (* eps (+ (* 1/6 (* eps (pow x 3))) (* (pow x 2) (+ 1/2 (* -1/2 x))))) (* x (+ 1 (* x (- (* 1/2 x) 1)))))) (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))
(* 1/6 (* (pow eps 3) (pow x 3)))
(* (pow eps 3) (+ (* 1/6 (pow x 3)) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps)))
(* (pow eps 3) (+ (* 1/6 (pow x 3)) (+ (/ (* x (+ 1 (* x (- (* 1/2 x) 1)))) (pow eps 2)) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps))))
(* (pow eps 3) (+ (* 1/6 (pow x 3)) (+ (/ 1 (pow eps 3)) (+ (/ (* x (+ 1 (* x (- (* 1/2 x) 1)))) (pow eps 2)) (+ (/ (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) (pow eps 3)) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps))))))
(* 1/6 (* (pow eps 3) (pow x 3)))
(* -1 (* (pow eps 3) (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps)) (* -1/6 (pow x 3)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* x (+ 1 (* -1/2 x))) 1)) eps)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) eps)) (* -1/6 (pow x 3)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) eps)) (* x (- (* x (+ 1 (* -1/2 x))) 1))) eps)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) eps)) (* -1/6 (pow x 3)))))
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)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(pow eps 2)
(/ 1/2 eps)
(/ (+ 1/2 (* -1/2 eps)) eps)
(/ (+ 1/2 (* -1/2 eps)) eps)
(/ (+ 1/2 (* -1/2 eps)) eps)
-1/2
(- (* 1/2 (/ 1 eps)) 1/2)
(- (* 1/2 (/ 1 eps)) 1/2)
(- (* 1/2 (/ 1 eps)) 1/2)
-1/2
(- (* 1/2 (/ 1 eps)) 1/2)
(- (* 1/2 (/ 1 eps)) 1/2)
(- (* 1/2 (/ 1 eps)) 1/2)
(* 1/2 (* x (pow (- eps 1) 2)))
(* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))
(* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))
(* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))
(* 1/6 (* (pow x 2) (pow (- eps 1) 3)))
(* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))
(* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))
(* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))
(* 1/6 (* (pow x 2) (pow (- eps 1) 3)))
(* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))
(* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))
(* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))
(* x (+ 1/2 (* -1/6 x)))
(+ (* eps (* x (- (* 1/2 x) 1))) (* x (+ 1/2 (* -1/6 x))))
(+ (* eps (+ (* eps (* x (+ 1/2 (* -1/2 x)))) (* x (- (* 1/2 x) 1)))) (* x (+ 1/2 (* -1/6 x))))
(+ (* eps (+ (* eps (+ (* 1/6 (* eps (pow x 2))) (* x (+ 1/2 (* -1/2 x))))) (* x (- (* 1/2 x) 1)))) (* x (+ 1/2 (* -1/6 x))))
(* 1/6 (* (pow eps 3) (pow x 2)))
(* (pow eps 3) (+ (* 1/6 (pow x 2)) (/ (* x (+ 1/2 (* -1/2 x))) eps)))
(* (pow eps 3) (+ (* 1/6 (pow x 2)) (+ (/ (* x (+ 1/2 (* -1/2 x))) eps) (/ (* x (- (* 1/2 x) 1)) (pow eps 2)))))
(* (pow eps 3) (+ (* 1/6 (pow x 2)) (+ (/ (* x (+ 1/2 (* -1/2 x))) eps) (+ (/ (* x (+ 1/2 (* -1/6 x))) (pow eps 3)) (/ (* x (- (* 1/2 x) 1)) (pow eps 2))))))
(* 1/6 (* (pow eps 3) (pow x 2)))
(* -1 (* (pow eps 3) (+ (* -1 (/ (* x (+ 1/2 (* -1/2 x))) eps)) (* -1/6 (pow x 2)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (* x (+ 1 (* -1/2 x))) eps)) (* x (+ 1/2 (* -1/2 x)))) eps)) (* -1/6 (pow x 2)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (+ 1/2 (* -1/6 x))) eps)) (* x (+ 1 (* -1/2 x)))) eps)) (* x (+ 1/2 (* -1/2 x)))) eps)) (* -1/6 (pow x 2)))))
(* 1/6 (* x (pow (- eps 1) 3)))
(* 1/6 (* x (pow (- eps 1) 3)))
(* 1/6 (* x (pow (- eps 1) 3)))
(* 1/6 (* x (pow (- eps 1) 3)))
(* 1/6 (* x (pow (- eps 1) 3)))
(* 1/6 (* x (pow (- eps 1) 3)))
(* 1/6 (* x (pow (- eps 1) 3)))
(* 1/6 (* x (pow (- eps 1) 3)))
(* 1/6 (* x (pow (- eps 1) 3)))
(* 1/6 (* x (pow (- eps 1) 3)))
(* 1/6 (* x (pow (- eps 1) 3)))
(* 1/6 (* x (pow (- eps 1) 3)))
(* -1/6 x)
(+ (* -1/6 x) (* 1/2 (* eps x)))
(+ (* -1/6 x) (* eps (+ (* -1/2 (* eps x)) (* 1/2 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)) (+ (* 1/6 x) (* 1/2 (/ x (pow eps 2))))))
(* (pow eps 3) (+ (* -1/2 (/ x eps)) (+ (* -1/6 (/ x (pow eps 3))) (+ (* 1/6 x) (* 1/2 (/ x (pow eps 2)))))))
(* 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 (/ (+ (* -1/2 x) (* 1/6 (/ x eps))) eps)) (* -1/2 x)) eps)) (* -1/6 x))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps x)))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps x)))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps x)))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps x)))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps x)))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps x)))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps x)))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps x)))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps x)))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps x)))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps x)))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps x)))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps x)))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps x)))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps x)))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps x)))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps x)))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps x)))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps x)))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps x)))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps x)))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps x)))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps x)))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps x)))
(* (pow eps 2) x)
(*.f64 eps (*.f64 eps x))
(* (pow eps 2) x)
(*.f64 eps (*.f64 eps x))
(* (pow eps 2) x)
(*.f64 eps (*.f64 eps x))
(* (pow eps 2) x)
(*.f64 eps (*.f64 eps x))
(* (pow eps 2) x)
(*.f64 eps (*.f64 eps x))
(* (pow eps 2) x)
(*.f64 eps (*.f64 eps x))
(* (pow eps 2) x)
(*.f64 eps (*.f64 eps x))
(* (pow eps 2) x)
(*.f64 eps (*.f64 eps x))
(* (pow eps 2) x)
(*.f64 eps (*.f64 eps x))
(* (pow eps 2) x)
(*.f64 eps (*.f64 eps x))
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(* 1/6 (* (pow x 3) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3))))
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(* (pow x 3) (+ (* 1/6 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 3))) (* 1/2 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- eps 1) 2)) x))))
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(/ (+ (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (* eps (+ (* 1/2 (* x (+ 1 (* x (- (* 1/2 x) 1))))) (+ (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (* eps (+ (* 1/2 (* x (+ 1 (* x (- (* 1/2 x) 1))))) (+ (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* eps (+ (* 1/12 (pow x 3)) (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x))))))))))))) eps)
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(* 1/12 (* (pow eps 3) (pow x 3)))
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(* (pow eps 3) (+ (* 1/12 (/ (pow x 3) eps)) (+ (* 1/12 (pow x 3)) (* 1/2 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps)))))
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1
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1
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(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x #s(literal 1/6 binary64)))))
(* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x #s(literal 1/6 binary64)))))
(* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x #s(literal 1/6 binary64)))))
(* 1/6 (* (pow x 2) (pow (- eps 1) 3)))
(*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) x)))
(* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) x)))
(* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) x)))
(* 1/6 (* (pow x 2) (pow (- eps 1) 3)))
(*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))
(* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) x)))
(* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) x)))
(* (pow x 2) (+ (* 1/6 (pow (- eps 1) 3)) (* 1/2 (/ (pow (- eps 1) 2) x))))
(*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) x)))
(* x (+ 1/2 (* -1/6 x)))
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))
(+ (* eps (* x (- (* 1/2 x) 1))) (* x (+ 1/2 (* -1/6 x))))
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (*.f64 x (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))))
(+ (* eps (+ (* eps (* x (+ 1/2 (* -1/2 x)))) (* x (- (* 1/2 x) 1)))) (* x (+ 1/2 (* -1/6 x))))
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (*.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(+ (* eps (+ (* eps (+ (* 1/6 (* eps (pow x 2))) (* x (+ 1/2 (* -1/2 x))))) (* x (- (* 1/2 x) 1)))) (* x (+ 1/2 (* -1/6 x))))
(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (*.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (*.f64 eps (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 eps (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))))))
(* 1/6 (* (pow eps 3) (pow x 2)))
(*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* (pow eps 3) (+ (* 1/6 (pow x 2)) (/ (* x (+ 1/2 (* -1/2 x))) eps)))
(*.f64 eps (*.f64 (*.f64 eps eps) (+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) eps))))
(* (pow eps 3) (+ (* 1/6 (pow x 2)) (+ (/ (* x (+ 1/2 (* -1/2 x))) eps) (/ (* x (- (* 1/2 x) 1)) (pow eps 2)))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 x (*.f64 x #s(literal 1/6 binary64))) (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) eps) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (*.f64 eps eps))))))
(* (pow eps 3) (+ (* 1/6 (pow x 2)) (+ (/ (* x (+ 1/2 (* -1/2 x))) eps) (+ (/ (* x (+ 1/2 (* -1/6 x))) (pow eps 3)) (/ (* x (- (* 1/2 x) 1)) (pow eps 2))))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) eps) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) (*.f64 eps (*.f64 eps eps))))) (+.f64 (/.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (*.f64 eps eps)) (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))
(* 1/6 (* (pow eps 3) (pow x 2)))
(*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x (*.f64 x #s(literal 1/6 binary64)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (* x (+ 1/2 (* -1/2 x))) eps)) (* -1/6 (pow x 2)))))
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) eps)) (*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (* x (+ 1 (* -1/2 x))) eps)) (* x (+ 1/2 (* -1/2 x)))) eps)) (* -1/6 (pow x 2)))))
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) eps)) eps)) (*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x (+ 1/2 (* -1/6 x))) eps)) (* x (+ 1 (* -1/2 x)))) eps)) (* x (+ 1/2 (* -1/2 x)))) eps)) (* -1/6 (pow x 2)))))
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal -1/6 binary64))) (/.f64 (-.f64 (*.f64 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 #s(literal -1/2 binary64)))) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) eps)) eps)) eps)) (*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))))
(* 1/6 (* x (pow (- eps 1) 3)))
(*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* x (pow (- eps 1) 3)))
(*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* x (pow (- eps 1) 3)))
(*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* x (pow (- eps 1) 3)))
(*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* x (pow (- eps 1) 3)))
(*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* x (pow (- eps 1) 3)))
(*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* x (pow (- eps 1) 3)))
(*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* x (pow (- eps 1) 3)))
(*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* x (pow (- eps 1) 3)))
(*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* x (pow (- eps 1) 3)))
(*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* x (pow (- eps 1) 3)))
(*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x #s(literal 1/6 binary64)))
(* 1/6 (* x (pow (- eps 1) 3)))
(*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x #s(literal 1/6 binary64)))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(+ (* -1/6 x) (* 1/2 (* eps x)))
(*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) eps)))
(+ (* -1/6 x) (* eps (+ (* -1/2 (* eps x)) (* 1/2 x))))
(+.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 eps #s(literal -1/2 binary64))))))
(+ (* -1/6 x) (* eps (+ (* 1/2 x) (* eps (+ (* -1/2 x) (* 1/6 (* eps x)))))))
(+.f64 (*.f64 x (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 eps eps) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) eps)))))
(* 1/6 (* (pow eps 3) x))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps))))
(* (pow eps 3) (+ (* -1/2 (/ x eps)) (* 1/6 x)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) eps) (*.f64 x #s(literal 1/6 binary64))))
(* (pow eps 3) (+ (* -1/2 (/ x eps)) (+ (* 1/6 x) (* 1/2 (/ x (pow eps 2))))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps eps)) (+.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) eps) (*.f64 x #s(literal 1/6 binary64)))))
(* (pow eps 3) (+ (* -1/2 (/ x eps)) (+ (* -1/6 (/ x (pow eps 3))) (+ (* 1/6 x) (* 1/2 (/ x (pow eps 2)))))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) eps) (+.f64 (/.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 eps (*.f64 eps eps))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 eps eps)) (*.f64 x #s(literal 1/6 binary64))))))
(* 1/6 (* (pow eps 3) x))
(*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -1/6 x) (* 1/2 (/ x eps)))))
(*.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) eps) (*.f64 x #s(literal -1/6 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/2 x) (* 1/2 (/ x eps))) eps)) (* -1/6 x))))
(*.f64 (-.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) x) eps) (*.f64 x #s(literal -1/2 binary64))) eps)) (*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 x) (* 1/6 (/ x eps))) eps)) (* -1/2 x)) eps)) (* -1/6 x))))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 eps (*.f64 eps eps)) (-.f64 (*.f64 x #s(literal -1/6 binary64)) (/.f64 (-.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) eps)) eps)) eps))))

eval144.0ms (0.9%)

Compiler

Compiled 30144 to 2747 computations (90.9% saved)

prune145.0ms (1%)

Pruning

36 alts after pruning (34 fresh and 2 done)

PrunedKeptTotal
New86024884
Fresh71017
Picked415
Done011
Total87136907
Accuracy
100.0%
Counts
907 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.0%
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) #s(literal 1 binary64)))
28.2%
(/.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) x)) eps)
26.3%
(/.f64 (+.f64 #s(literal 1 binary64) (*.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 x (+.f64 #s(literal 1 binary64) eps)) (*.f64 x (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64)))))
36.9%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) #s(literal 1 binary64)))))
2.6%
(/.f64 (*.f64 #s(literal 1/2 binary64) x) eps)
42.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))))))
35.4%
(-.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 eps (*.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 (*.f64 #s(literal 1/6 binary64) eps) #s(literal -1/6 binary64)))))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) eps))
▶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)))
▶49.9%
(-.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 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
32.7%
(-.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 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
34.1%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
▶36.8%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) (*.f64 eps (+.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
35.9%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
34.2%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
34.2%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
20.2%
(-.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 x (*.f64 x x))))) (-.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)))
8.8%
(-.f64 (*.f64 (*.f64 eps (*.f64 (*.f64 eps eps) (+.f64 (/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) eps) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
20.3%
(-.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
▶40.9%
(-.f64 #s(literal 1 binary64) x)
29.7%
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
42.2%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.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 #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 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
49.2%
(+.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))))
▶72.9%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps)))
✓72.9%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps)))))
47.0%
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))
68.5%
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
9.2%
(*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64))) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps))))
55.0%
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
9.2%
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) eps) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) eps)))
22.4%
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
38.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
9.7%
(*.f64 eps (*.f64 x #s(literal -1/2 binary64)))
31.9%
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
62.5%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)))
67.0%
(exp.f64 (neg.f64 x))
✓41.2%
#s(literal 1 binary64)
Compiler

Compiled 1890 to 1038 computations (45.1% saved)

simplify193.0ms (1.3%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) (*.f64 eps (+.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))))) #s(literal -1 binary64))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) (*.f64 eps (+.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))))) #s(literal -1 binary64)))))
✓cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) (*.f64 eps (+.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))
✓cost-diff384
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) (*.f64 eps (+.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
✓cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
✓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 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
✓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 #s(literal 1 binary64) x)
✓cost-diff0
(*.f64 (*.f64 x #s(literal 1/2 binary64)) eps)
✓cost-diff0
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps)
✓cost-diff0
(*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps)))
Rules
2378×--lowering--.f32
2378×--lowering--.f64
2298×+-lowering-+.f64
2298×+-lowering-+.f32
1978×*-lowering-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
045475
1164439
2703428
33511425
47521425
08056425
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ 1 (* x (* (* (* x 1/2) eps) eps)))
1
(* x (* (* (* x 1/2) eps) eps))
x
(* (* (* x 1/2) eps) eps)
(* (* x 1/2) eps)
(* x 1/2)
1/2
eps
(- 1 x)
1
x
(- (+ 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
(- (+ 1/2 (/ 1/2 eps)) (* (+ 1 (* x (+ (- -1 eps) (* (* 1/2 x) (* (+ 1 eps) (+ 1 eps)))))) (+ (/ 1/2 eps) -1/2)))
(+ 1/2 (/ 1/2 eps))
1/2
(/ 1/2 eps)
eps
(* (+ 1 (* x (+ (- -1 eps) (* (* 1/2 x) (* (+ 1 eps) (+ 1 eps)))))) (+ (/ 1/2 eps) -1/2))
(+ 1 (* x (+ (- -1 eps) (* (* 1/2 x) (* (+ 1 eps) (+ 1 eps))))))
1
(* x (+ (- -1 eps) (* (* 1/2 x) (* (+ 1 eps) (+ 1 eps)))))
x
(+ (- -1 eps) (* (* 1/2 x) (* (+ 1 eps) (+ 1 eps))))
(- -1 eps)
-1
(* (* 1/2 x) (* (+ 1 eps) (+ 1 eps)))
(* 1/2 x)
(* (+ 1 eps) (+ 1 eps))
(+ 1 eps)
(+ (/ 1/2 eps) -1/2)
-1/2
(- (* (+ 1 (* x (+ eps (+ (* x (+ (+ 1/2 (* x -1/6)) (* eps (+ (* eps (+ 1/2 (* x -1/2))) (+ (* 1/2 x) -1))))) -1)))) (- 1/2 (/ -1/2 eps))) (+ (/ 1/2 eps) -1/2))
(* (+ 1 (* x (+ eps (+ (* x (+ (+ 1/2 (* x -1/6)) (* eps (+ (* eps (+ 1/2 (* x -1/2))) (+ (* 1/2 x) -1))))) -1)))) (- 1/2 (/ -1/2 eps)))
(+ 1 (* x (+ eps (+ (* x (+ (+ 1/2 (* x -1/6)) (* eps (+ (* eps (+ 1/2 (* x -1/2))) (+ (* 1/2 x) -1))))) -1))))
1
(* x (+ eps (+ (* x (+ (+ 1/2 (* x -1/6)) (* eps (+ (* eps (+ 1/2 (* x -1/2))) (+ (* 1/2 x) -1))))) -1)))
x
(+ eps (+ (* x (+ (+ 1/2 (* x -1/6)) (* eps (+ (* eps (+ 1/2 (* x -1/2))) (+ (* 1/2 x) -1))))) -1))
eps
(+ (* x (+ (+ 1/2 (* x -1/6)) (* eps (+ (* eps (+ 1/2 (* x -1/2))) (+ (* 1/2 x) -1))))) -1)
(* x (+ (+ 1/2 (* x -1/6)) (* eps (+ (* eps (+ 1/2 (* x -1/2))) (+ (* 1/2 x) -1)))))
(+ (+ 1/2 (* x -1/6)) (* eps (+ (* eps (+ 1/2 (* x -1/2))) (+ (* 1/2 x) -1))))
(+ 1/2 (* x -1/6))
1/2
(* x -1/6)
-1/6
(* eps (+ (* eps (+ 1/2 (* x -1/2))) (+ (* 1/2 x) -1)))
(+ (* eps (+ 1/2 (* x -1/2))) (+ (* 1/2 x) -1))
(* eps (+ 1/2 (* x -1/2)))
(+ 1/2 (* x -1/2))
(* x -1/2)
-1/2
(+ (* 1/2 x) -1)
(* 1/2 x)
-1
(- 1/2 (/ -1/2 eps))
(/ -1/2 eps)
(+ (/ 1/2 eps) -1/2)
(/ 1/2 eps)
Outputs
(+ 1 (* x (* (* (* x 1/2) eps) eps)))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 eps (*.f64 #s(literal 1/2 binary64) eps)))))
1
#s(literal 1 binary64)
(* x (* (* (* x 1/2) eps) eps))
(*.f64 x (*.f64 x (*.f64 eps (*.f64 #s(literal 1/2 binary64) eps))))
x
(* (* (* x 1/2) eps) eps)
(*.f64 x (*.f64 eps (*.f64 #s(literal 1/2 binary64) eps)))
(* (* x 1/2) eps)
(*.f64 x (*.f64 #s(literal 1/2 binary64) eps))
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
eps
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
(- (+ 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)
(- (+ 1/2 (/ 1/2 eps)) (* (+ 1 (* x (+ (- -1 eps) (* (* 1/2 x) (* (+ 1 eps) (+ 1 eps)))))) (+ (/ 1/2 eps) -1/2)))
(-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)) (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.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) (* (* 1/2 x) (* (+ 1 eps) (+ 1 eps)))))) (+ (/ 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 binary64) eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))))))
(+ 1 (* x (+ (- -1 eps) (* (* 1/2 x) (* (+ 1 eps) (+ 1 eps))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))))))
1
#s(literal 1 binary64)
(* x (+ (- -1 eps) (* (* 1/2 x) (* (+ 1 eps) (+ 1 eps)))))
(*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))))
x
(+ (- -1 eps) (* (* 1/2 x) (* (+ 1 eps) (+ 1 eps))))
(+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))))
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
-1
#s(literal -1 binary64)
(* (* 1/2 x) (* (+ 1 eps) (+ 1 eps)))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* (+ 1 eps) (+ 1 eps))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (+.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)
(- (* (+ 1 (* x (+ eps (+ (* x (+ (+ 1/2 (* x -1/6)) (* eps (+ (* eps (+ 1/2 (* x -1/2))) (+ (* 1/2 x) -1))))) -1)))) (- 1/2 (/ -1/2 eps))) (+ (/ 1/2 eps) -1/2))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 eps #s(literal -1/2 binary64)))))))))) (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))))
(* (+ 1 (* x (+ eps (+ (* x (+ (+ 1/2 (* x -1/6)) (* eps (+ (* eps (+ 1/2 (* x -1/2))) (+ (* 1/2 x) -1))))) -1)))) (- 1/2 (/ -1/2 eps)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 eps #s(literal -1/2 binary64)))))))))) (+.f64 eps #s(literal -1 binary64))))))
(+ 1 (* x (+ eps (+ (* x (+ (+ 1/2 (* x -1/6)) (* eps (+ (* eps (+ 1/2 (* x -1/2))) (+ (* 1/2 x) -1))))) -1))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 eps #s(literal -1/2 binary64)))))))))) (+.f64 eps #s(literal -1 binary64)))))
1
#s(literal 1 binary64)
(* x (+ eps (+ (* x (+ (+ 1/2 (* x -1/6)) (* eps (+ (* eps (+ 1/2 (* x -1/2))) (+ (* 1/2 x) -1))))) -1)))
(*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 eps #s(literal -1/2 binary64)))))))))) (+.f64 eps #s(literal -1 binary64))))
x
(+ eps (+ (* x (+ (+ 1/2 (* x -1/6)) (* eps (+ (* eps (+ 1/2 (* x -1/2))) (+ (* 1/2 x) -1))))) -1))
(+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 eps #s(literal -1/2 binary64)))))))))) (+.f64 eps #s(literal -1 binary64)))
eps
(+ (* x (+ (+ 1/2 (* x -1/6)) (* eps (+ (* eps (+ 1/2 (* x -1/2))) (+ (* 1/2 x) -1))))) -1)
(+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 eps #s(literal -1/2 binary64)))))))))))
(* x (+ (+ 1/2 (* x -1/6)) (* eps (+ (* eps (+ 1/2 (* x -1/2))) (+ (* 1/2 x) -1)))))
(*.f64 x (+.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 eps #s(literal -1/2 binary64))))))))))
(+ (+ 1/2 (* x -1/6)) (* eps (+ (* eps (+ 1/2 (* x -1/2))) (+ (* 1/2 x) -1))))
(+.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 eps (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 eps #s(literal -1/2 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)
(* eps (+ (* eps (+ 1/2 (* x -1/2))) (+ (* 1/2 x) -1)))
(*.f64 eps (+.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 eps #s(literal -1/2 binary64)))))))
(+ (* eps (+ 1/2 (* x -1/2))) (+ (* 1/2 x) -1))
(+.f64 #s(literal -1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 eps #s(literal -1/2 binary64))))))
(* eps (+ 1/2 (* x -1/2)))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))
(+ 1/2 (* x -1/2))
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))
(* x -1/2)
(*.f64 x #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(+ (* 1/2 x) -1)
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
-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 eps)
(/.f64 #s(literal -1/2 binary64) eps)
(+ (/ 1/2 eps) -1/2)
(+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))
(/ 1/2 eps)
(/.f64 #s(literal 1/2 binary64) eps)

localize410.0ms (2.7%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(*.f64 x #s(literal -1/6 binary64))
✓accuracy95.6%
(*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) (*.f64 eps (+.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))))) #s(literal -1 binary64))))
✓accuracy94.7%
(*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) (*.f64 eps (+.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))))))
✓accuracy78.1%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) (*.f64 eps (+.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
✓accuracy100.0%
(*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))
✓accuracy95.6%
(*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))
✓accuracy94.7%
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))
✓accuracy78.1%
(-.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 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) eps)
✓accuracy100.0%
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
✓accuracy100.0%
(+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))
✓accuracy64.4%
(-.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 #s(literal 1 binary64) x)
✓accuracy100.0%
(*.f64 (*.f64 x #s(literal 1/2 binary64)) eps)
✓accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
✓accuracy99.8%
(*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps)
✓accuracy94.4%
(*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps))
Results
108.0ms40×2valid
103.0ms157×0valid
101.0ms58×1valid
4.0ms1×5exit
Compiler

Compiled 545 to 46 computations (91.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 126.0ms
ival-mult: 49.0ms (38.7% of total)
ival-add: 27.0ms (21.3% of total)
backward-pass: 24.0ms (19% of total)
ival-sub: 11.0ms (8.7% of total)
...c/correct-round.rkt:119:19: 7.0ms (5.5% of total)
ival-div: 6.0ms (4.7% of total)
const: 1.0ms (0.8% of total)

series53.0ms (0.3%)

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

102 calls:

TimeVariablePointExpression
22.0ms
eps
@-inf
(+ 1 (* x (+ eps (+ (* x (+ (+ 1/2 (* x -1/6)) (* eps (+ (* eps (+ 1/2 (* x -1/2))) (+ (* 1/2 x) -1))))) -1))))
2.0ms
x
@-inf
(- (+ 1/2 (/ 1/2 eps)) (* (+ 1 (* x (+ (- -1 eps) (* (* 1/2 x) (* (+ 1 eps) (+ 1 eps)))))) (+ (/ 1/2 eps) -1/2)))
1.0ms
eps
@-inf
(- (* (+ 1 (* x (+ eps (+ (* x (+ (+ 1/2 (* x -1/6)) (* eps (+ (* eps (+ 1/2 (* x -1/2))) (+ (* 1/2 x) -1))))) -1)))) (- 1/2 (/ -1/2 eps))) (+ (/ 1/2 eps) -1/2))
1.0ms
x
@inf
(- (* (+ 1 (* x (+ eps (+ (* x (+ (+ 1/2 (* x -1/6)) (* eps (+ (* eps (+ 1/2 (* x -1/2))) (+ (* 1/2 x) -1))))) -1)))) (- 1/2 (/ -1/2 eps))) (+ (/ 1/2 eps) -1/2))
1.0ms
eps
@inf
(- (* (+ 1 (* x (+ eps (+ (* x (+ (+ 1/2 (* x -1/6)) (* eps (+ (* eps (+ 1/2 (* x -1/2))) (+ (* 1/2 x) -1))))) -1)))) (- 1/2 (/ -1/2 eps))) (+ (/ 1/2 eps) -1/2))

rewrite303.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
2482×*-lowering-*.f32
2482×*-lowering-*.f64
1722×+-lowering-+.f64
1722×+-lowering-+.f32
1588×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045284
1391260
24722259
08086259
Stop Event
1×iter limit
1×node limit
Counts
21 → 357
Calls
Call 1
Inputs
(+ 1 (* x (* (* (* x 1/2) eps) eps)))
(* x (* (* (* x 1/2) eps) eps))
(* (* (* x 1/2) eps) eps)
(* (* x 1/2) eps)
(- 1 x)
(- (+ 1/2 (/ 1/2 eps)) (+ (/ 1/2 eps) -1/2))
(+ 1/2 (/ 1/2 eps))
(/ 1/2 eps)
(+ (/ 1/2 eps) -1/2)
(- (+ 1/2 (/ 1/2 eps)) (* (+ 1 (* x (+ (- -1 eps) (* (* 1/2 x) (* (+ 1 eps) (+ 1 eps)))))) (+ (/ 1/2 eps) -1/2)))
(* (+ 1 (* x (+ (- -1 eps) (* (* 1/2 x) (* (+ 1 eps) (+ 1 eps)))))) (+ (/ 1/2 eps) -1/2))
(- (* (+ 1 (* x (+ eps (+ (* x (+ (+ 1/2 (* x -1/6)) (* eps (+ (* eps (+ 1/2 (* x -1/2))) (+ (* 1/2 x) -1))))) -1)))) (- 1/2 (/ -1/2 eps))) (+ (/ 1/2 eps) -1/2))
(* (+ 1 (* x (+ eps (+ (* x (+ (+ 1/2 (* x -1/6)) (* eps (+ (* eps (+ 1/2 (* x -1/2))) (+ (* 1/2 x) -1))))) -1)))) (- 1/2 (/ -1/2 eps)))
(+ 1 (* x (+ eps (+ (* x (+ (+ 1/2 (* x -1/6)) (* eps (+ (* eps (+ 1/2 (* x -1/2))) (+ (* 1/2 x) -1))))) -1))))
(* x (+ eps (+ (* x (+ (+ 1/2 (* x -1/6)) (* eps (+ (* eps (+ 1/2 (* x -1/2))) (+ (* 1/2 x) -1))))) -1)))
(* x 1/2)
(* (* 1/2 x) (* (+ 1 eps) (+ 1 eps)))
(* x (+ (- -1 eps) (* (* 1/2 x) (* (+ 1 eps) (+ 1 eps)))))
(* (+ 1 eps) (+ 1 eps))
(* x (+ (+ 1/2 (* x -1/6)) (* eps (+ (* eps (+ 1/2 (* x -1/2))) (+ (* 1/2 x) -1)))))
(* x -1/6)
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (*.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))) (/.f64 (*.f64 x (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))))
(fma.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 1 binary64))
(fma.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps))) x #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) eps) eps #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))) (-.f64 (*.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))) (-.f64 (*.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))))) (+.f64 (*.f64 x (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps))))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps))))))))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))) (-.f64 (*.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))))
(/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))) #s(literal 1 binary64)) (-.f64 (*.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))) (-.f64 (*.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))))
(*.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 eps (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) eps))
(*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x eps))
(*.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps))) x)
(*.f64 (*.f64 x (*.f64 eps (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 (*.f64 eps eps) x))
(*.f64 (*.f64 x eps) (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
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(*.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) (*.f64 eps (+.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) x)
(*.f64 x #s(literal -1/6 binary64))
(*.f64 #s(literal -1/6 binary64) x)

simplify350.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
6232×+-lowering-+.f64
6232×+-lowering-+.f32
4796×*-lowering-*.f32
4796×*-lowering-*.f64
1130×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06597277
124216497
083576497
Stop Event
1×iter limit
1×node limit
Counts
408 → 408
Calls
Call 1
Inputs
1
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
1
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
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1
1
1
1
1
1
1
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1
1
1
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(* 1/4 (* (pow eps 2) (pow x 2)))
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(* (pow eps 2) (- (+ (/ 1/2 (pow eps 2)) (* 1/2 (/ 1 (pow eps 3)))) (+ (* -1/2 (/ (* x (- x 1)) eps)) (+ (* -1/2 (/ (+ 1 (* x (- (* 1/2 x) 1))) (pow eps 2))) (+ (* -1/4 (pow x 2)) (+ (* 1/4 (/ (pow x 2) eps)) (+ (* 1/2 (/ (* x (- x 1)) (pow eps 2))) (* 1/2 (/ (+ 1 (* x (- (* 1/2 x) 1))) (pow eps 3))))))))))
(* 1/4 (* (pow eps 2) (pow x 2)))
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(* (pow eps 2) (- (* -1 (/ (- (* -1 (/ (- 1/2 (+ (* -1/2 (* x (+ 1 (* -1 x)))) (* -1/2 (+ 1 (* x (- (* 1/2 x) 1)))))) eps)) (+ (* -1/2 (* x (+ 1 (* -1 x)))) (* -1/4 (pow x 2)))) eps)) (* -1/4 (pow x 2))))
(* (pow eps 2) (- (* -1 (/ (- (* -1 (/ (- (+ 1/2 (+ (* -1/2 (/ (+ 1 (* x (- (* 1/2 x) 1))) eps)) (* 1/2 (/ 1 eps)))) (+ (* -1/2 (* x (+ 1 (* -1 x)))) (* -1/2 (+ 1 (* x (- (* 1/2 x) 1)))))) eps)) (+ (* -1/2 (* x (+ 1 (* -1 x)))) (* -1/4 (pow x 2)))) eps)) (* -1/4 (pow x 2))))
1
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(+ 1 (* x (- (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)))) (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))))))
(* -1/2 (* (pow x 2) (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))
(* (pow x 2) (- (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ (* -1 (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ (* -1 (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))))
(* -1/2 (* (pow x 2) (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))
(* (pow x 2) (- (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)))))
(* (pow x 2) (- (+ (/ 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)))))
(* (pow x 2) (- (+ (/ 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)))))
(- (* 1/2 (/ 1 eps)) 1/2)
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(- (+ (* 1/2 (/ 1 eps)) (* x (+ (* -1 (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))))) 1/2)
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(* 1/2 (* (pow x 2) (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))
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(* (pow x 2) (- (+ (* -1 (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x)) (+ (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))) (* 1/2 (/ 1 (* eps (pow x 2)))))) (/ 1/2 (pow x 2))))
(* 1/2 (* (pow x 2) (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2))))
(* (pow x 2) (+ (* -1 (/ (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2)) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 eps)) 1/2) x)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ 1 eps)) 1/2) x)) (* (+ 1 eps) (- (* 1/2 (/ 1 eps)) 1/2))) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- (* 1/2 (/ 1 eps)) 1/2)))))
(* 1/2 (/ (+ 1 (* x (- (* 1/2 x) 1))) eps))
(/ (+ (* 1/2 (+ 1 (* x (- (* 1/2 x) 1)))) (* eps (+ (* -1/2 (+ 1 (* x (- (* 1/2 x) 1)))) (* 1/2 (* x (- x 1)))))) eps)
(/ (+ (* 1/2 (+ 1 (* x (- (* 1/2 x) 1)))) (* eps (+ (* -1/2 (+ 1 (* x (- (* 1/2 x) 1)))) (+ (* 1/2 (* x (- x 1))) (* eps (+ (* -1/2 (* x (- x 1))) (* 1/4 (pow x 2)))))))) eps)
(/ (+ (* 1/2 (+ 1 (* x (- (* 1/2 x) 1)))) (* eps (+ (* -1/2 (+ 1 (* x (- (* 1/2 x) 1)))) (+ (* 1/2 (* x (- x 1))) (* eps (+ (* -1/2 (* x (- x 1))) (+ (* -1/4 (* eps (pow x 2))) (* 1/4 (pow x 2))))))))) eps)
(* -1/4 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* -1/2 (/ (* x (- x 1)) eps)) (+ (* -1/4 (pow x 2)) (* 1/4 (/ (pow x 2) eps)))))
(* (pow eps 2) (+ (* -1/2 (/ (* x (- x 1)) eps)) (+ (* -1/2 (/ (+ 1 (* x (- (* 1/2 x) 1))) (pow eps 2))) (+ (* -1/4 (pow x 2)) (+ (* 1/4 (/ (pow x 2) eps)) (* 1/2 (/ (* x (- x 1)) (pow eps 2))))))))
(* (pow eps 2) (+ (* -1/2 (/ (* x (- x 1)) eps)) (+ (* -1/2 (/ (+ 1 (* x (- (* 1/2 x) 1))) (pow eps 2))) (+ (* -1/4 (pow x 2)) (+ (* 1/4 (/ (pow x 2) eps)) (+ (* 1/2 (/ (* x (- x 1)) (pow eps 2))) (* 1/2 (/ (+ 1 (* x (- (* 1/2 x) 1))) (pow eps 3)))))))))
(* -1/4 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1/2 (* x (+ 1 (* -1 x)))) (* -1/4 (pow x 2))) eps)) (* -1/4 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* x (+ 1 (* -1 x)))) (* -1/2 (+ 1 (* x (- (* 1/2 x) 1))))) eps)) (+ (* -1/2 (* x (+ 1 (* -1 x)))) (* -1/4 (pow x 2)))) eps)) (* -1/4 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* x (+ 1 (* -1 x)))) (+ (* -1/2 (+ 1 (* x (- (* 1/2 x) 1)))) (* 1/2 (/ (+ 1 (* x (- (* 1/2 x) 1))) eps)))) eps)) (+ (* -1/2 (* x (+ 1 (* -1 x)))) (* -1/4 (pow x 2)))) eps)) (* -1/4 (pow x 2))))
1
(+ 1 (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))))
(+ 1 (* x (+ (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (+ 1/2 (* eps (- (* 1/2 eps) 1))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))))
(+ 1 (* x (+ (* x (+ (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (* eps (+ 1/2 (* -1/2 eps))) 1/6))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (+ 1/2 (* eps (- (* 1/2 eps) 1)))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))))
(* (pow x 3) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (* eps (+ 1/2 (* -1/2 eps))) 1/6)))
(* (pow x 3) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (* eps (+ 1/2 (* -1/2 eps))) 1/6)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (+ 1/2 (* eps (- (* 1/2 eps) 1)))) x)))
(* (pow x 3) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (* eps (+ 1/2 (* -1/2 eps))) 1/6)) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (+ 1/2 (* eps (- (* 1/2 eps) 1)))) x) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (pow x 2)))))
(* (pow x 3) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (* eps (+ 1/2 (* -1/2 eps))) 1/6)) (+ (/ 1 (pow x 3)) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (+ 1/2 (* eps (- (* 1/2 eps) 1)))) x) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (pow x 2))))))
(* -1 (* (pow x 3) (* (+ 1/6 (* eps (- (* 1/2 eps) 1/2))) (+ 1/2 (* 1/2 (/ 1 eps))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (+ 1/2 (* eps (- (* 1/2 eps) 1)))) x)) (* (+ 1/6 (* eps (- (* 1/2 eps) 1/2))) (+ 1/2 (* 1/2 (/ 1 eps)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (+ 1/2 (* eps (- (* 1/2 eps) 1)))) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)) x)) (* (+ 1/6 (* eps (- (* 1/2 eps) 1/2))) (+ 1/2 (* 1/2 (/ 1 eps)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1 (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (/ 1 x)) x)) (* (+ 1/2 (* 1/2 (/ 1 eps))) (+ 1/2 (* eps (- (* 1/2 eps) 1))))) x)) (* (+ 1/6 (* eps (- (* 1/2 eps) 1/2))) (+ 1/2 (* 1/2 (/ 1 eps)))))))
(/ (- (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) 1/2) eps)
(/ (- (+ (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (* eps (+ 1/2 (+ (* 1/2 (* x (+ 1 (* x (- (* 1/2 x) 1))))) (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))))) 1/2) eps)
(/ (- (+ (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (* eps (+ 1/2 (+ (* 1/2 (* x (+ 1 (* x (- (* 1/2 x) 1))))) (+ (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (* eps (+ (* 1/2 (* x (+ 1 (* x (- (* 1/2 x) 1))))) (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x))))))))))) 1/2) eps)
(/ (- (+ (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (* eps (+ 1/2 (+ (* 1/2 (* x (+ 1 (* x (- (* 1/2 x) 1))))) (+ (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (* eps (+ (* 1/2 (* eps (* (pow x 2) (+ 1/2 (* -1/2 x))))) (+ (* 1/2 (* x (+ 1 (* x (- (* 1/2 x) 1))))) (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))))))))))) 1/2) eps)
(* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1/2 (* -1/2 x)))))
(* (pow eps 2) (+ (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (+ (* 1/2 (/ (* x (+ 1 (* x (- (* 1/2 x) 1)))) eps)) (* 1/2 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps)))))
(* (pow eps 2) (+ (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (+ (* 1/2 (/ (* x (+ 1 (* x (- (* 1/2 x) 1)))) eps)) (+ (* 1/2 (/ (* x (+ 1 (* x (- (* 1/2 x) 1)))) (pow eps 2))) (+ (* 1/2 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps)) (+ (* 1/2 (/ (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) (pow eps 2))) (/ 1/2 (pow eps 2))))))))
(* (pow eps 2) (- (+ (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (+ (* 1/2 (/ (* x (+ 1 (* x (- (* 1/2 x) 1)))) eps)) (+ (* 1/2 (/ (* x (+ 1 (* x (- (* 1/2 x) 1)))) (pow eps 2))) (+ (* 1/2 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps)) (+ (* 1/2 (/ (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) (pow eps 2))) (+ (* 1/2 (/ (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) (pow eps 3))) (/ 1/2 (pow eps 2)))))))) (* 1/2 (/ 1 (pow eps 3)))))
(* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1/2 (* -1/2 x)))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* 1/2 (* x (- (* -1 (* x (- (* 1/2 x) 1))) 1)))) eps)) (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x))))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (+ (* -1/2 (* x (- (* -1 (* x (- (* 1/2 x) 1))) 1))) (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))))) eps)) (+ (* -1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* 1/2 (* x (- (* -1 (* x (- (* 1/2 x) 1))) 1))))) eps)) (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x))))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (* -1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))) eps)) (+ (* -1/2 (* x (- (* -1 (* x (- (* 1/2 x) 1))) 1))) (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))))) eps)) (+ (* -1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* 1/2 (* x (- (* -1 (* x (- (* 1/2 x) 1))) 1))))) eps)) (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x))))))
(+ 1/2 (* 1/2 (/ 1 eps)))
(+ 1/2 (+ (* 1/2 (/ 1 eps)) (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)))))
(+ 1/2 (+ (* 1/2 (/ 1 eps)) (* x (+ (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (+ 1/2 (* eps (- (* 1/2 eps) 1))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))))))
(+ 1/2 (+ (* 1/2 (/ 1 eps)) (* x (+ (* x (+ (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (* eps (+ 1/2 (* -1/2 eps))) 1/6))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (+ 1/2 (* eps (- (* 1/2 eps) 1)))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))))))
(* (pow x 3) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (* eps (+ 1/2 (* -1/2 eps))) 1/6)))
(* (pow x 3) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (* eps (+ 1/2 (* -1/2 eps))) 1/6)) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (+ 1/2 (* eps (- (* 1/2 eps) 1)))) x)))
(* (pow x 3) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (* eps (+ 1/2 (* -1/2 eps))) 1/6)) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (+ 1/2 (* eps (- (* 1/2 eps) 1)))) x) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (pow x 2)))))
(* (pow x 3) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- (* eps (+ 1/2 (* -1/2 eps))) 1/6)) (+ (/ 1/2 (* eps (pow x 3))) (+ (* 1/2 (/ 1 (pow x 3))) (+ (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (+ 1/2 (* eps (- (* 1/2 eps) 1)))) x) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) (pow x 2)))))))
(* -1 (* (pow x 3) (* (+ 1/6 (* eps (- (* 1/2 eps) 1/2))) (+ 1/2 (* 1/2 (/ 1 eps))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (+ 1/2 (* eps (- (* 1/2 eps) 1)))) x)) (* (+ 1/6 (* eps (- (* 1/2 eps) 1/2))) (+ 1/2 (* 1/2 (/ 1 eps)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (+ 1/2 (* eps (- (* 1/2 eps) 1)))) (/ (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1)) x)) x)) (* (+ 1/6 (* eps (- (* 1/2 eps) 1/2))) (+ 1/2 (* 1/2 (/ 1 eps)))))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (+ 1/2 (* 1/2 (/ 1 eps))) (- eps 1))) (* -1 (/ (+ 1/2 (* 1/2 (/ 1 eps))) x))) x)) (* (+ 1/2 (* 1/2 (/ 1 eps))) (+ 1/2 (* eps (- (* 1/2 eps) 1))))) x)) (* (+ 1/6 (* eps (- (* 1/2 eps) 1/2))) (+ 1/2 (* 1/2 (/ 1 eps)))))))
(* 1/2 (/ (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) eps))
(/ (+ (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (* eps (+ (* 1/2 (* x (+ 1 (* x (- (* 1/2 x) 1))))) (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))))) eps)
(/ (+ (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (* eps (+ (* 1/2 (* x (+ 1 (* x (- (* 1/2 x) 1))))) (+ (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (* eps (+ (* 1/2 (* x (+ 1 (* x (- (* 1/2 x) 1))))) (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))))))))) eps)
(/ (+ (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (* eps (+ (* 1/2 (* x (+ 1 (* x (- (* 1/2 x) 1))))) (+ (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (* eps (+ (* 1/2 (* eps (* (pow x 2) (+ 1/2 (* -1/2 x))))) (+ (* 1/2 (* x (+ 1 (* x (- (* 1/2 x) 1))))) (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x))))))))))) eps)
(* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1/2 (* -1/2 x)))))
(* (pow eps 2) (+ (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (+ (* 1/2 (/ (* x (+ 1 (* x (- (* 1/2 x) 1)))) eps)) (* 1/2 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps)))))
(* (pow eps 2) (+ (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (+ (* 1/2 (/ (* x (+ 1 (* x (- (* 1/2 x) 1)))) eps)) (+ (* 1/2 (/ (* x (+ 1 (* x (- (* 1/2 x) 1)))) (pow eps 2))) (+ (* 1/2 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps)) (* 1/2 (/ (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) (pow eps 2))))))))
(* (pow eps 2) (+ (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (+ (* 1/2 (/ (* x (+ 1 (* x (- (* 1/2 x) 1)))) eps)) (+ (* 1/2 (/ (* x (+ 1 (* x (- (* 1/2 x) 1)))) (pow eps 2))) (+ (* 1/2 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) eps)) (+ (* 1/2 (/ (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) (pow eps 2))) (* 1/2 (/ (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) (pow eps 3)))))))))
(* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1/2 (* -1/2 x)))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* 1/2 (* x (- (* -1 (* x (- (* 1/2 x) 1))) 1)))) eps)) (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x))))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* x (- (* -1 (* x (- (* 1/2 x) 1))) 1))) (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))) eps)) (+ (* -1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* 1/2 (* x (- (* -1 (* x (- (* 1/2 x) 1))) 1))))) eps)) (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x))))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* x (- (* -1 (* x (- (* 1/2 x) 1))) 1))) (+ (* 1/2 (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))) (* 1/2 (/ (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) eps)))) eps)) (+ (* -1/2 (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* 1/2 (* x (- (* -1 (* x (- (* 1/2 x) 1))) 1))))) eps)) (* 1/2 (* (pow x 2) (+ 1/2 (* -1/2 x))))))
1
(+ 1 (* x (- eps 1)))
(+ 1 (* x (- (+ eps (* x (+ 1/2 (* eps (- (* 1/2 eps) 1))))) 1)))
(+ 1 (* x (- (+ eps (* x (+ 1/2 (+ (* eps (- (* 1/2 eps) 1)) (* x (- (* eps (+ 1/2 (* -1/2 eps))) 1/6)))))) 1)))
(* (pow x 3) (- (* eps (+ 1/2 (* -1/2 eps))) 1/6))
(* (pow x 3) (- (+ (* eps (+ 1/2 (* -1/2 eps))) (+ (* 1/2 (/ 1 x)) (/ (* eps (- (* 1/2 eps) 1)) x))) 1/6))
(* (pow x 3) (- (+ (* eps (+ 1/2 (* -1/2 eps))) (+ (* 1/2 (/ 1 x)) (+ (/ eps (pow x 2)) (/ (* eps (- (* 1/2 eps) 1)) x)))) (+ 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ (* eps (+ 1/2 (* -1/2 eps))) (+ (* 1/2 (/ 1 x)) (+ (/ 1 (pow x 3)) (+ (/ eps (pow x 2)) (/ (* eps (- (* 1/2 eps) 1)) x))))) (+ 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (+ 1/6 (* eps (- (* 1/2 eps) 1/2)))))
(* -1 (* (pow x 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* eps (- (* 1/2 eps) 1))) x)) (* eps (- (* 1/2 eps) 1/2))))))
(* -1 (* (pow x 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (+ (* eps (- (* 1/2 eps) 1)) (/ eps x))) (/ 1 x)) x)) (* eps (- (* 1/2 eps) 1/2))))))
(* -1 (* (pow x 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (+ (* -1 (/ (- (* -1 (- eps 1)) (/ 1 x)) x)) (* eps (- (* 1/2 eps) 1)))) x)) (* eps (- (* 1/2 eps) 1/2))))))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(+ 1 (+ (* eps (* x (+ 1 (* x (- (* 1/2 x) 1))))) (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))
(+ 1 (+ (* eps (+ (* eps (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* x (+ 1 (* x (- (* 1/2 x) 1)))))) (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))
(+ 1 (+ (* eps (+ (* eps (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* x (+ 1 (* x (- (* 1/2 x) 1)))))) (* x (- (* x (+ 1/2 (* -1/6 x))) 1))))
(* (pow eps 2) (* (pow x 2) (+ 1/2 (* -1/2 x))))
(* (pow eps 2) (+ (* (pow x 2) (+ 1/2 (* -1/2 x))) (/ (* x (+ 1 (* x (- (* 1/2 x) 1)))) eps)))
(* (pow eps 2) (+ (* (pow x 2) (+ 1/2 (* -1/2 x))) (+ (/ 1 (pow eps 2)) (+ (/ (* x (+ 1 (* x (- (* 1/2 x) 1)))) eps) (/ (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) (pow eps 2))))))
(* (pow eps 2) (+ (* (pow x 2) (+ 1/2 (* -1/2 x))) (+ (/ 1 (pow eps 2)) (+ (/ (* x (+ 1 (* x (- (* 1/2 x) 1)))) eps) (/ (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) (pow eps 2))))))
(* (pow eps 2) (* (pow x 2) (+ 1/2 (* -1/2 x))))
(* (pow eps 2) (+ (* -1 (/ (* x (- (* -1 (* x (- (* 1/2 x) 1))) 1)) eps)) (* (pow x 2) (+ 1/2 (* -1/2 x)))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) eps)) (* x (- (* -1 (* x (- (* 1/2 x) 1))) 1))) eps)) (* (pow x 2) (+ 1/2 (* -1/2 x)))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1))) eps)) (* x (- (* -1 (* x (- (* 1/2 x) 1))) 1))) eps)) (* (pow x 2) (+ 1/2 (* -1/2 x)))))
(* x (- eps 1))
(* x (- (+ eps (* x (+ 1/2 (* eps (- (* 1/2 eps) 1))))) 1))
(* x (- (+ eps (* x (+ 1/2 (+ (* eps (- (* 1/2 eps) 1)) (* x (- (* eps (+ 1/2 (* -1/2 eps))) 1/6)))))) 1))
(* x (- (+ eps (* x (+ 1/2 (+ (* eps (- (* 1/2 eps) 1)) (* x (- (* eps (+ 1/2 (* -1/2 eps))) 1/6)))))) 1))
(* (pow x 3) (- (* eps (+ 1/2 (* -1/2 eps))) 1/6))
(* (pow x 3) (- (+ (* eps (+ 1/2 (* -1/2 eps))) (+ (* 1/2 (/ 1 x)) (/ (* eps (- (* 1/2 eps) 1)) x))) 1/6))
(* (pow x 3) (- (+ (* eps (+ 1/2 (* -1/2 eps))) (+ (* 1/2 (/ 1 x)) (+ (/ eps (pow x 2)) (/ (* eps (- (* 1/2 eps) 1)) x)))) (+ 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ (* eps (+ 1/2 (* -1/2 eps))) (+ (* 1/2 (/ 1 x)) (+ (/ eps (pow x 2)) (/ (* eps (- (* 1/2 eps) 1)) x)))) (+ 1/6 (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (+ 1/6 (* eps (- (* 1/2 eps) 1/2)))))
(* -1 (* (pow x 3) (+ 1/6 (+ (* -1 (/ (+ 1/2 (* eps (- (* 1/2 eps) 1))) x)) (* eps (- (* 1/2 eps) 1/2))))))
(* -1 (* (pow x 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (+ (* eps (- (* 1/2 eps) 1)) (/ eps x))) (/ 1 x)) x)) (* eps (- (* 1/2 eps) 1/2))))))
(* -1 (* (pow x 3) (+ 1/6 (+ (* -1 (/ (- (+ 1/2 (+ (* eps (- (* 1/2 eps) 1)) (/ eps x))) (/ 1 x)) x)) (* eps (- (* 1/2 eps) 1/2))))))
(* x (- (* x (+ 1/2 (* -1/6 x))) 1))
(+ (* eps (* x (+ 1 (* x (- (* 1/2 x) 1))))) (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(+ (* eps (+ (* eps (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* x (+ 1 (* x (- (* 1/2 x) 1)))))) (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(+ (* eps (+ (* eps (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* x (+ 1 (* x (- (* 1/2 x) 1)))))) (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(* (pow eps 2) (* (pow x 2) (+ 1/2 (* -1/2 x))))
(* (pow eps 2) (+ (* (pow x 2) (+ 1/2 (* -1/2 x))) (/ (* x (+ 1 (* x (- (* 1/2 x) 1)))) eps)))
(* (pow eps 2) (+ (* (pow x 2) (+ 1/2 (* -1/2 x))) (+ (/ (* x (+ 1 (* x (- (* 1/2 x) 1)))) eps) (/ (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) (pow eps 2)))))
(* (pow eps 2) (+ (* (pow x 2) (+ 1/2 (* -1/2 x))) (+ (/ (* x (+ 1 (* x (- (* 1/2 x) 1)))) eps) (/ (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) (pow eps 2)))))
(* (pow eps 2) (* (pow x 2) (+ 1/2 (* -1/2 x))))
(* (pow eps 2) (+ (* -1 (/ (* x (- (* -1 (* x (- (* 1/2 x) 1))) 1)) eps)) (* (pow x 2) (+ 1/2 (* -1/2 x)))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) eps)) (* x (- (* -1 (* x (- (* 1/2 x) 1))) 1))) eps)) (* (pow x 2) (+ 1/2 (* -1/2 x)))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* x (+ 1/2 (* -1/6 x))) 1)) eps)) (* x (- (* -1 (* x (- (* 1/2 x) 1))) 1))) eps)) (* (pow x 2) (+ 1/2 (* -1/2 x)))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 (* x (pow (+ 1 eps) 2)))
(* 1/2 (* x (pow (+ 1 eps) 2)))
(* 1/2 (* x (pow (+ 1 eps) 2)))
(* 1/2 (* x (pow (+ 1 eps) 2)))
(* 1/2 (* x (pow (+ 1 eps) 2)))
(* 1/2 (* x (pow (+ 1 eps) 2)))
(* 1/2 (* x (pow (+ 1 eps) 2)))
(* 1/2 (* x (pow (+ 1 eps) 2)))
(* 1/2 (* x (pow (+ 1 eps) 2)))
(* 1/2 (* x (pow (+ 1 eps) 2)))
(* 1/2 (* x (pow (+ 1 eps) 2)))
(* 1/2 (* x (pow (+ 1 eps) 2)))
(* 1/2 x)
(+ (* 1/2 x) (* eps x))
(+ (* 1/2 x) (* eps (+ x (* 1/2 (* eps x)))))
(+ (* 1/2 x) (* eps (+ x (* 1/2 (* eps x)))))
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 1/2 x) (/ x eps)))
(* (pow eps 2) (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ x eps))))
(* (pow eps 2) (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ x eps))))
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 1/2 x) (/ x eps)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 x) (* -1/2 (/ x eps))) eps)) (* 1/2 x)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 x) (* -1/2 (/ x eps))) eps)) (* 1/2 x)))
(* -1 (* x (+ 1 eps)))
(* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2)))))
(* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2)))))
(* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2)))))
(* 1/2 (* (pow x 2) (pow (+ 1 eps) 2)))
(* (pow x 2) (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))
(* (pow x 2) (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))
(* (pow x 2) (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))
(* 1/2 (* (pow x 2) (pow (+ 1 eps) 2)))
(* (pow x 2) (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))
(* (pow x 2) (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))
(* (pow x 2) (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))
(* x (- (* 1/2 x) 1))
(+ (* eps (* x (- x 1))) (* x (- (* 1/2 x) 1)))
(+ (* eps (+ (* 1/2 (* eps (pow x 2))) (* x (- x 1)))) (* x (- (* 1/2 x) 1)))
(+ (* eps (+ (* 1/2 (* eps (pow x 2))) (* x (- x 1)))) (* x (- (* 1/2 x) 1)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ (* x (- x 1)) eps)))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (+ (/ (* x (- x 1)) eps) (/ (* x (- (* 1/2 x) 1)) (pow eps 2)))))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (+ (/ (* x (- x 1)) eps) (/ (* x (- (* 1/2 x) 1)) (pow eps 2)))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* -1 (/ (* x (+ 1 (* -1 x))) eps)) (* 1/2 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* 1/2 x) 1)) eps)) (* x (+ 1 (* -1 x)))) eps)) (* 1/2 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (* x (- (* 1/2 x) 1)) eps)) (* x (+ 1 (* -1 x)))) eps)) (* 1/2 (pow x 2))))
1
(+ 1 (* 2 eps))
(+ 1 (* eps (+ 2 eps)))
(+ 1 (* eps (+ 2 eps)))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ 1 eps))))
(* (pow eps 2) (+ 1 (+ (* 2 (/ 1 eps)) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ 1 (+ (* 2 (/ 1 eps)) (/ 1 (pow eps 2)))))
(pow eps 2)
(* (pow eps 2) (+ 1 (* 2 (/ 1 eps))))
(* (pow eps 2) (+ 1 (+ (* 2 (/ 1 eps)) (/ 1 (pow eps 2)))))
(* (pow eps 2) (+ 1 (+ (* 2 (/ 1 eps)) (/ 1 (pow eps 2)))))
(* x (+ 1/2 (* eps (- (* 1/2 eps) 1))))
(* x (+ 1/2 (+ (* eps (- (* 1/2 eps) 1)) (* x (- (* eps (+ 1/2 (* -1/2 eps))) 1/6)))))
(* x (+ 1/2 (+ (* eps (- (* 1/2 eps) 1)) (* x (- (* eps (+ 1/2 (* -1/2 eps))) 1/6)))))
(* x (+ 1/2 (+ (* eps (- (* 1/2 eps) 1)) (* x (- (* eps (+ 1/2 (* -1/2 eps))) 1/6)))))
(* (pow x 2) (- (* eps (+ 1/2 (* -1/2 eps))) 1/6))
(* (pow x 2) (- (+ (* eps (+ 1/2 (* -1/2 eps))) (+ (* 1/2 (/ 1 x)) (/ (* eps (- (* 1/2 eps) 1)) x))) 1/6))
(* (pow x 2) (- (+ (* eps (+ 1/2 (* -1/2 eps))) (+ (* 1/2 (/ 1 x)) (/ (* eps (- (* 1/2 eps) 1)) x))) 1/6))
(* (pow x 2) (- (+ (* eps (+ 1/2 (* -1/2 eps))) (+ (* 1/2 (/ 1 x)) (/ (* eps (- (* 1/2 eps) 1)) x))) 1/6))
(* -1 (* (pow x 2) (+ 1/6 (* eps (- (* 1/2 eps) 1/2)))))
(* (pow x 2) (+ (* -1 (+ 1/6 (* eps (- (* 1/2 eps) 1/2)))) (+ (* 1/2 (/ 1 x)) (/ (* eps (- (* 1/2 eps) 1)) x))))
(* (pow x 2) (+ (* -1 (+ 1/6 (* eps (- (* 1/2 eps) 1/2)))) (+ (* 1/2 (/ 1 x)) (/ (* eps (- (* 1/2 eps) 1)) x))))
(* (pow x 2) (+ (* -1 (+ 1/6 (* eps (- (* 1/2 eps) 1/2)))) (+ (* 1/2 (/ 1 x)) (/ (* eps (- (* 1/2 eps) 1)) x))))
(* x (+ 1/2 (* -1/6 x)))
(+ (* eps (* x (- (* 1/2 x) 1))) (* x (+ 1/2 (* -1/6 x))))
(+ (* eps (+ (* eps (* x (+ 1/2 (* -1/2 x)))) (* x (- (* 1/2 x) 1)))) (* x (+ 1/2 (* -1/6 x))))
(+ (* eps (+ (* eps (* x (+ 1/2 (* -1/2 x)))) (* x (- (* 1/2 x) 1)))) (* x (+ 1/2 (* -1/6 x))))
(* (pow eps 2) (* x (+ 1/2 (* -1/2 x))))
(* (pow eps 2) (+ (* x (+ 1/2 (* -1/2 x))) (/ (* x (- (* 1/2 x) 1)) eps)))
(* (pow eps 2) (+ (* x (+ 1/2 (* -1/2 x))) (+ (/ (* x (+ 1/2 (* -1/6 x))) (pow eps 2)) (/ (* x (- (* 1/2 x) 1)) eps))))
(* (pow eps 2) (+ (* x (+ 1/2 (* -1/2 x))) (+ (/ (* x (+ 1/2 (* -1/6 x))) (pow eps 2)) (/ (* x (- (* 1/2 x) 1)) eps))))
(* (pow eps 2) (* x (+ 1/2 (* -1/2 x))))
(* (pow eps 2) (+ (* x (+ 1/2 (* -1/2 x))) (/ (* x (- (* 1/2 x) 1)) eps)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (* x (- (* 1/2 x) 1))) (* -1 (/ (* x (+ 1/2 (* -1/6 x))) eps))) eps)) (* x (+ 1/2 (* -1/2 x)))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (* x (- (* 1/2 x) 1))) (* -1 (/ (* x (+ 1/2 (* -1/6 x))) eps))) eps)) (* x (+ 1/2 (* -1/2 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)
(* -1/6 x)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x)))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x)))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x)))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x)))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x)))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x)))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x)))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x)))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x)))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x)))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x)))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x)))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x)))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(* 1/2 (* (pow eps 2) (pow x 2)))
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(* 1/2 (* (pow eps 2) (* (pow x 2) (+ 1/2 (* -1/2 x)))))
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1
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(* (pow x 3) (- (* eps (+ 1/2 (* -1/2 eps))) 1/6))
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(+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (*.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))))
(* (pow eps 2) (* x (+ 1/2 (* -1/2 x))))
(*.f64 eps (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(* (pow eps 2) (+ (* x (+ 1/2 (* -1/2 x))) (/ (* x (- (* 1/2 x) 1)) eps)))
(*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(* (pow eps 2) (+ (* x (+ 1/2 (* -1/2 x))) (+ (/ (* x (+ 1/2 (* -1/6 x))) (pow eps 2)) (/ (* x (- (* 1/2 x) 1)) eps))))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) eps) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) (*.f64 eps eps))))))
(* (pow eps 2) (+ (* x (+ 1/2 (* -1/2 x))) (+ (/ (* x (+ 1/2 (* -1/6 x))) (pow eps 2)) (/ (* x (- (* 1/2 x) 1)) eps))))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) eps) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) (*.f64 eps eps))))))
(* (pow eps 2) (* x (+ 1/2 (* -1/2 x))))
(*.f64 eps (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(* (pow eps 2) (+ (* x (+ 1/2 (* -1/2 x))) (/ (* x (- (* 1/2 x) 1)) eps)))
(*.f64 (*.f64 eps eps) (*.f64 x (+.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (* x (- (* 1/2 x) 1))) (* -1 (/ (* x (+ 1/2 (* -1/6 x))) eps))) eps)) (* x (+ 1/2 (* -1/2 x)))))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) eps)))) eps)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (* x (- (* 1/2 x) 1))) (* -1 (/ (* x (+ 1/2 (* -1/6 x))) eps))) eps)) (* x (+ 1/2 (* -1/2 x)))))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) eps)))) eps)))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))

eval130.0ms (0.9%)

Compiler

Compiled 38591 to 2550 computations (93.4% saved)

prune152.0ms (1%)

Pruning

41 alts after pruning (39 fresh and 2 done)

PrunedKeptTotal
New97014984
Fresh42529
Picked415
Done112
Total979411020
Accuracy
100.0%
Counts
1020 → 41
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.0%
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) #s(literal 1 binary64)))
28.2%
(/.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) x)) eps)
36.9%
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) #s(literal 1 binary64)))))
2.1%
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) x)) eps)
2.6%
(/.f64 (*.f64 #s(literal 1/2 binary64) x) eps)
18.5%
(-.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
35.4%
(-.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 eps (*.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 (*.f64 #s(literal 1/6 binary64) eps) #s(literal -1/6 binary64)))))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) eps))
48.6%
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1/8 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) eps)))))
25.2%
(-.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 #s(literal 1/2 binary64) x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
17.7%
(-.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 #s(literal 1/2 binary64) x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
32.7%
(-.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 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
33.8%
(-.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 1/2 binary64) x) #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
16.6%
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) #s(literal -1/2 binary64))
34.1%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
34.6%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) (*.f64 eps (+.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) #s(literal -1/2 binary64))
35.9%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
34.2%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
34.2%
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
20.2%
(-.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 x (*.f64 x x))))) (-.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)))
8.8%
(-.f64 (*.f64 (*.f64 eps (*.f64 (*.f64 eps eps) (+.f64 (/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) eps) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
20.3%
(-.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
✓40.9%
(-.f64 #s(literal 1 binary64) x)
46.5%
(-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
29.7%
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
68.5%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) eps) eps))
68.6%
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x eps)))
49.2%
(+.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))))
47.0%
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))
9.2%
(*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64))) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps))))
55.0%
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
17.4%
(*.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal -1/6 binary64))) (*.f64 x x))
9.2%
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) eps) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) eps)))
22.4%
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
23.8%
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
38.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
9.7%
(*.f64 eps (*.f64 x #s(literal -1/2 binary64)))
31.9%
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
62.5%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)))
44.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
67.0%
(exp.f64 (neg.f64 x))
✓41.2%
#s(literal 1 binary64)
Compiler

Compiled 2803 to 986 computations (64.8% saved)

regimes94.0ms (0.6%)

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

21.0ms
(-.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)))))
21.0ms
eps
20.0ms
x
17.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
99.1%1x
99.1%1eps
99.1%1(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
99.1%1(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes54.0ms (0.4%)

Counts
67 → 4
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 eps (*.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) eps)
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) #s(literal -1/2 binary64))
(/.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) x)) eps)
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(-.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps)))
(+.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 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x eps)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) 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)))
(*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (*.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 0 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) x)) eps)
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(-.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal -1/6 binary64))) (*.f64 x 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 1/2 binary64) x) #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.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 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(-.f64 (+.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 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) #s(literal 1 binary64)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) eps) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))))))
(*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64))) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps))))
(-.f64 (*.f64 (*.f64 eps (*.f64 (*.f64 eps eps) (+.f64 (/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) eps) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) (*.f64 eps (+.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.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 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 eps (*.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 (*.f64 #s(literal 1/6 binary64) eps) #s(literal -1/6 binary64)))))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) eps))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) (*.f64 eps (+.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(-.f64 (+.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 #s(literal 1/2 binary64) x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))))) (+.f64 (/.f64 #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 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1/8 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) eps)))))
(-.f64 (+.f64 #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 #s(literal 1/2 binary64) x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.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 #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 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 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.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 x (+.f64 #s(literal 1 binary64) eps)) (*.f64 x (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64)))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))
(exp.f64 (neg.f64 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(*.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 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (*.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) (*.f64 (*.f64 x eps) (+.f64 #s(literal 1/2 binary64) (*.f64 x #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 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1/12 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1/6 binary64))) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.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))))
Outputs
(*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.f64 (+.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 #s(literal 1/2 binary64) x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps)))
Calls

2 calls:

21.0ms
eps
20.0ms
x
Results
AccuracySegmentsBranch
91.7%4x
93.9%4eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes33.0ms (0.2%)

Counts
64 → 5
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 eps (*.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) eps)
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) #s(literal -1/2 binary64))
(/.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) x)) eps)
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(-.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps)))
(+.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 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x eps)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) 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)))
(*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (*.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 0 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) x)) eps)
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(-.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal -1/6 binary64))) (*.f64 x 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 1/2 binary64) x) #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.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 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(-.f64 (+.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 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) #s(literal 1 binary64)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) eps) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))))))
(*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64))) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps))))
(-.f64 (*.f64 (*.f64 eps (*.f64 (*.f64 eps eps) (+.f64 (/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) eps) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) (*.f64 eps (+.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.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 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 eps (*.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 (*.f64 #s(literal 1/6 binary64) eps) #s(literal -1/6 binary64)))))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) eps))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) (*.f64 eps (+.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(-.f64 (+.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 #s(literal 1/2 binary64) x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))))) (+.f64 (/.f64 #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 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1/8 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) eps)))))
(-.f64 (+.f64 #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 #s(literal 1/2 binary64) x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.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 #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 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 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.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 x (+.f64 #s(literal 1 binary64) eps)) (*.f64 x (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64)))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))
(exp.f64 (neg.f64 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(*.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 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
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 (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps)))
Calls

1 calls:

19.0ms
eps
Results
AccuracySegmentsBranch
93.5%5eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes46.0ms (0.3%)

Counts
61 → 5
Calls
Call 1
Inputs
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) x)
(*.f64 eps (*.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) x) eps)
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) #s(literal -1/2 binary64))
(/.f64 (+.f64 eps (*.f64 #s(literal 1/2 binary64) x)) eps)
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 x x))
(-.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps)))
(+.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 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x eps)))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) 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)))
(*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (*.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 0 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64))) x)) eps)
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))))
(-.f64 (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal -1/6 binary64))) (*.f64 x 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 1/2 binary64) x) #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))
(*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.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 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) x) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 x (*.f64 x #s(literal 1/6 binary64))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(-.f64 (+.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 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) #s(literal 1 binary64)))
(*.f64 (*.f64 eps (*.f64 eps eps)) (+.f64 (*.f64 #s(literal 1/12 binary64) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) eps) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x))))))
(*.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/12 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/12 binary64))) eps)) (neg.f64 (*.f64 eps (*.f64 eps eps))))
(-.f64 (*.f64 (*.f64 eps (*.f64 (*.f64 eps eps) (+.f64 (/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) eps) (*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) (*.f64 eps (+.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.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 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (+.f64 eps (*.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 (*.f64 #s(literal 1/6 binary64) eps) #s(literal -1/6 binary64)))))))))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) eps))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))) (*.f64 eps (+.f64 (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(-.f64 (+.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 #s(literal 1/2 binary64) x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))))) (+.f64 (/.f64 #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 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(-.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal -1/8 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))))) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) eps)))))
(-.f64 (+.f64 #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 #s(literal 1/2 binary64) x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64)))))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 eps (*.f64 eps eps)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps eps)) x)) #s(literal 1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.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 #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 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 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.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 x (+.f64 #s(literal 1 binary64) eps)) (*.f64 x (+.f64 #s(literal 1 binary64) eps))) (*.f64 x (+.f64 #s(literal 1 binary64) eps))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64)))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))))))))
(exp.f64 (neg.f64 x))
(exp.f64 (-.f64 #s(literal 0 binary64) x))
(*.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)))))
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 (+.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 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps)))
Calls

1 calls:

17.0ms
eps
Results
AccuracySegmentsBranch
93.5%5eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes48.0ms (0.3%)

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

2 calls:

18.0ms
x
17.0ms
eps
Results
AccuracySegmentsBranch
86.9%5x
89.5%3eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes30.0ms (0.2%)

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

1 calls:

18.0ms
eps
Results
AccuracySegmentsBranch
89.2%3eps
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes39.0ms (0.3%)

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

2 calls:

18.0ms
x
17.0ms
eps
Results
AccuracySegmentsBranch
81.9%3x
75.1%2eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

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

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
79.4%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0%)

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

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
79.3%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes18.0ms (0.1%)

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

2 calls:

13.0ms
eps
4.0ms
x
Results
AccuracySegmentsBranch
74.0%2eps
75.0%2x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

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

2 calls:

4.0ms
x
4.0ms
eps
Results
AccuracySegmentsBranch
68.0%2eps
72.4%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

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

2 calls:

6.0ms
eps
3.0ms
x
Results
AccuracySegmentsBranch
47.0%1eps
47.0%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

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

2 calls:

2.0ms
eps
2.0ms
x
Results
AccuracySegmentsBranch
48.2%2x
44.4%2eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.4b remaining (-1.1%)

Threshold costs -0.4b (-1.1%)

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
41.2%1eps
41.2%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch49.0ms (0.3%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
8.0ms
1.0141453294385423e+128
1.3017926710676982e+128
11.0ms
4.731748509966905e+94
6.120831106673373e+94
25.0ms
0.1707192116422889
1574.721408978604
Results
34.0ms224×0valid
1.0ms7×0unsamplable
Compiler

Compiled 1069 to 599 computations (44% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-mult: 6.0ms (22.6% of total)
ival-add: 5.0ms (18.8% of total)
ival-neg: 5.0ms (18.8% of total)
ival-div: 4.0ms (15.1% of total)
ival-sub: 3.0ms (11.3% of total)
ival-exp: 3.0ms (11.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch111.0ms (0.7%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
8.0ms
1.0141453294385423e+128
1.3017926710676982e+128
8.0ms
4.731748509966905e+94
6.120831106673373e+94
23.0ms
941515969144525.3
3487134226997861000.0
40.0ms
0.1707192116422889
1574.721408978604
Results
65.0ms352×0valid
0.0ms2×0unsamplable
Compiler

Compiled 859 to 599 computations (30.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-mult: 28.0ms (53.6% of total)
ival-div: 6.0ms (11.5% of total)
ival-exp: 6.0ms (11.5% of total)
ival-sub: 5.0ms (9.6% of total)
ival-add: 3.0ms (5.7% of total)
ival-neg: 3.0ms (5.7% of total)
const: 1.0ms (1.9% of total)
backward-pass: 0.0ms (0% of total)

bsearch77.0ms (0.5%)

Algorithm
4×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
8.0ms
1.0141453294385423e+128
1.3017926710676982e+128
9.0ms
4.731748509966905e+94
6.120831106673373e+94
22.0ms
941515969144525.3
3487134226997861000.0
29.0ms
0.1707192116422889
1574.721408978604
Results
54.0ms352×0valid
0.0ms4×0unsamplable
Compiler

Compiled 793 to 555 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 16.0ms (39.7% of total)
ival-div: 6.0ms (14.9% of total)
ival-sub: 5.0ms (12.4% of total)
ival-add: 4.0ms (9.9% of total)
ival-exp: 4.0ms (9.9% of total)
ival-neg: 4.0ms (9.9% of total)
const: 1.0ms (2.5% of total)
backward-pass: 0.0ms (0% of total)

bsearch39.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
1.0141453294385423e+128
1.3017926710676982e+128
26.0ms
0.1707192116422889
1574.721408978604
Results
27.0ms176×0valid
1.0ms9×0unsamplable
Compiler

Compiled 958 to 499 computations (47.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 5.0ms (29.4% of total)
ival-div: 4.0ms (23.5% of total)
ival-sub: 3.0ms (17.6% of total)
ival-add: 2.0ms (11.8% of total)
ival-exp: 2.0ms (11.8% of total)
ival-neg: 2.0ms (11.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch23.0ms (0.1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
8.0ms
1.0141453294385423e+128
1.3017926710676982e+128
12.0ms
2.3390531742338582e+86
3.5342591642827025e+86
Results
16.0ms112×0valid
Compiler

Compiled 424 to 241 computations (43.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 4.0ms (34.9% of total)
ival-sub: 2.0ms (17.5% of total)
ival-div: 2.0ms (17.5% of total)
ival-add: 1.0ms (8.7% of total)
ival-exp: 1.0ms (8.7% of total)
ival-neg: 1.0ms (8.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch101.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
24.0ms
3.66992015163385e+98
1.5271821234678544e+104
71.0ms
5.3077430447098e-12
8.652498918445168e-10
Results
69.0ms217×0valid
9.0ms16×2valid
8.0ms23×1valid
Compiler

Compiled 498 to 325 computations (34.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 7.0ms (21.4% of total)
ival-exp: 6.0ms (18.3% of total)
ival-sub: 6.0ms (18.3% of total)
ival-div: 5.0ms (15.3% of total)
ival-neg: 3.0ms (9.2% of total)
ival-add: 3.0ms (9.2% of total)
backward-pass: 2.0ms (6.1% of total)
const: 1.0ms (3.1% of total)

bsearch36.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
32.0ms
8.652498918445168e-10
4.914891675417082e-8
Results
12.0ms31×1valid
9.0ms67×0valid
8.0ms14×2valid
Compiler

Compiled 218 to 149 computations (31.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-exp: 5.0ms (25.7% of total)
ival-mult: 4.0ms (20.5% of total)
ival-div: 3.0ms (15.4% of total)
ival-sub: 3.0ms (15.4% of total)
backward-pass: 2.0ms (10.3% of total)
ival-neg: 2.0ms (10.3% of total)
ival-add: 2.0ms (10.3% of total)
const: 0.0ms (0% of total)

bsearch60.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
52.0ms
4.914891675417082e-8
0.0012499784331141842
Results
21.0ms65×0valid
15.0ms26×2valid
12.0ms37×1valid
Compiler

Compiled 244 to 167 computations (31.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-exp: 7.0ms (26.4% of total)
ival-mult: 6.0ms (22.6% of total)
ival-div: 4.0ms (15.1% of total)
ival-sub: 3.0ms (11.3% of total)
backward-pass: 3.0ms (11.3% of total)
ival-neg: 2.0ms (7.5% of total)
ival-add: 2.0ms (7.5% of total)
const: 0.0ms (0% of total)

bsearch39.0ms (0.3%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
36.0ms
8.652498918445168e-10
4.914891675417082e-8
Results
12.0ms16×2valid
9.0ms68×0valid
9.0ms28×1valid
Compiler

Compiled 218 to 149 computations (31.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 7.0ms (30.8% of total)
ival-exp: 5.0ms (22% of total)
ival-div: 3.0ms (13.2% of total)
ival-sub: 3.0ms (13.2% of total)
ival-neg: 2.0ms (8.8% of total)
backward-pass: 2.0ms (8.8% of total)
ival-add: 2.0ms (8.8% of total)
const: 0.0ms (0% of total)

bsearch115.0ms (0.8%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
68.0ms
1.8130851652304384e-24
1.2622266728927931e-22
40.0ms
-5.6850683985659226e-34
-2.338655929182142e-38
Results
54.0ms64×1valid
29.0ms144×0valid
17.0ms32×2valid
Compiler

Compiled 276 to 203 computations (26.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-add: 39.0ms (45.5% of total)
ival-div: 11.0ms (12.8% of total)
ival-exp: 11.0ms (12.8% of total)
ival-mult: 9.0ms (10.5% of total)
ival-sub: 8.0ms (9.3% of total)
backward-pass: 4.0ms (4.7% of total)
ival-neg: 3.0ms (3.5% of total)
const: 1.0ms (1.2% of total)

bsearch68.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
64.0ms
-1.5425627367015662e-21
-6.666648101780055e-27
Results
34.0ms32×1valid
13.0ms19×2valid
12.0ms93×0valid
Compiler

Compiled 144 to 113 computations (21.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-div: 28.0ms (59% of total)
ival-mult: 6.0ms (12.6% of total)
ival-exp: 4.0ms (8.4% of total)
ival-sub: 3.0ms (6.3% of total)
backward-pass: 2.0ms (4.2% of total)
ival-neg: 2.0ms (4.2% of total)
ival-add: 2.0ms (4.2% of total)
const: 0.0ms (0% of total)

simplify129.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
794×distribute-lft-neg-in_binary64
392×neg-mul-1_binary64
368×neg-sub0_binary64
308×distribute-rgt-neg-in_binary64
272×distribute-neg-in_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0156651
1257650
2302650
3382650
4563650
5745650
6914650
71066650
81211650
91385650
101604650
111846650
122055650
132142650
142185650
152231650
162260650
172280650
182292650
192299650
202307650
212311650
222311650
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(if (<=.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (if (<=.f64 eps #s(literal 60000000000000001213132747629356819314565779392861464468266611372480240299889858561521869651968 binary64)) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (if (<=.f64 eps #s(literal 110000000000000008269193560817002949021857197078764903483120001259354251776665672513099521120753383897109255054273777895934525440 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 #s(literal 1/2 binary64) x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps))))))
(if (<=.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (if (<=.f64 eps #s(literal 1150000000000000000 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64))) (if (<=.f64 eps #s(literal 60000000000000001213132747629356819314565779392861464468266611372480240299889858561521869651968 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (if (<=.f64 eps #s(literal 114999999999999999025435576357973090723901817951402480419738826442664890985813929140494059756805989646939487445455432908762251264 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 #s(literal 1/2 binary64) x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps)))))))
(if (<=.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (if (<=.f64 eps #s(literal 3400000000000000000 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64))) (if (<=.f64 eps #s(literal 51999999999999998087104230136814640562539792584736161495452789082417768849790393484076168249344 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (if (<=.f64 eps #s(literal 110000000000000008269193560817002949021857197078764903483120001259354251776665672513099521120753383897109255054273777895934525440 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 #s(literal 1/2 binary64) x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps)))))))
(if (<=.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (if (<=.f64 eps #s(literal 106000000000000007968495613150930114511971480821355270629188364849923188075696011694441356716362351755396191234118367790627815424 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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps)))))
(if (<=.f64 eps #s(literal 235000000000000010339959725999158949712715964425219391381582507155288700761544054538240 binary64)) (exp.f64 (neg.f64 x)) (if (<=.f64 eps #s(literal 114999999999999999025435576357973090723901817951402480419738826442664890985813929140494059756805989646939487445455432908762251264 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 #s(literal 1/2 binary64) x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps)))))
(if (<=.f64 x #s(literal 4110347786689739/4835703278458516698824704 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps))) (if (<=.f64 x #s(literal 5600000000000000368800510695160527274684567378396080134784128255846880772676400396457760261629840195584 binary64)) (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))))
(if (<=.f64 x #s(literal 7253554917687775/151115727451828646838272 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x)))
(if (<=.f64 x #s(literal 5534023222112865/4611686018427387904 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x)))
(if (<=.f64 x #s(literal 7253554917687775/151115727451828646838272 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x)))
(if (<=.f64 x #s(literal -5612166287350667/23384026197294446691258957323460528314494920687616 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x)) (if (<=.f64 x #s(literal 5316911983139663/42535295865117307932921825928971026432 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))
(if (<=.f64 x #s(literal -8081706214372289/5316911983139663491615228241121378304 binary64)) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
#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 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (if (<=.f64 eps #s(literal 60000000000000001213132747629356819314565779392861464468266611372480240299889858561521869651968 binary64)) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/6 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (if (<=.f64 eps #s(literal 110000000000000008269193560817002949021857197078764903483120001259354251776665672513099521120753383897109255054273777895934525440 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 #s(literal 1/2 binary64) x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps))))))
(if (<=.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (if (<=.f64 eps #s(literal 60000000000000001213132747629356819314565779392861464468266611372480240299889858561521869651968 binary64)) (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps (+.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 x #s(literal 1/6 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (if (<=.f64 eps #s(literal 110000000000000008269193560817002949021857197078764903483120001259354251776665672513099521120753383897109255054273777895934525440 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 binary64) (*.f64 x (+.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) eps))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))))))))
(if (<=.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (if (<=.f64 eps #s(literal 1150000000000000000 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64))) (if (<=.f64 eps #s(literal 60000000000000001213132747629356819314565779392861464468266611372480240299889858561521869651968 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (if (<=.f64 eps #s(literal 114999999999999999025435576357973090723901817951402480419738826442664890985813929140494059756805989646939487445455432908762251264 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 #s(literal 1/2 binary64) x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps)))))))
(if (<=.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (if (<=.f64 eps #s(literal 1150000000000000000 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) #s(literal 1 binary64))) (if (<=.f64 eps #s(literal 60000000000000001213132747629356819314565779392861464468266611372480240299889858561521869651968 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 1 binary64)))) (if (<=.f64 eps #s(literal 114999999999999999025435576357973090723901817951402480419738826442664890985813929140494059756805989646939487445455432908762251264 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 binary64) (*.f64 x (+.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) eps))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x)))))))))
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(if (<=.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (if (<=.f64 eps #s(literal 106000000000000007968495613150930114511971480821355270629188364849923188075696011694441356716362351755396191234118367790627815424 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 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (+.f64 (*.f64 eps eps) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) eps)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps)))))
(if (<=.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x))) (if (<=.f64 eps #s(literal 106000000000000007968495613150930114511971480821355270629188364849923188075696011694441356716362351755396191234118367790627815424 binary64)) (+.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 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 eps #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (+.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 eps eps)))) (-.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 eps eps)))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x)))))))
(if (<=.f64 eps #s(literal 235000000000000010339959725999158949712715964425219391381582507155288700761544054538240 binary64)) (exp.f64 (neg.f64 x)) (if (<=.f64 eps #s(literal 114999999999999999025435576357973090723901817951402480419738826442664890985813929140494059756805989646939487445455432908762251264 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 #s(literal 1/2 binary64) x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps)))))
(if (<=.f64 eps #s(literal 235000000000000010339959725999158949712715964425219391381582507155288700761544054538240 binary64)) (exp.f64 (-.f64 #s(literal 0 binary64) x)) (if (<=.f64 eps #s(literal 114999999999999999025435576357973090723901817951402480419738826442664890985813929140494059756805989646939487445455432908762251264 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 binary64) (*.f64 x (+.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps eps))) (*.f64 (+.f64 eps #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) eps))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x)))))))
(if (<=.f64 x #s(literal 4110347786689739/4835703278458516698824704 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps))) (if (<=.f64 x #s(literal 5600000000000000368800510695160527274684567378396080134784128255846880772676400396457760261629840195584 binary64)) (*.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps (*.f64 eps eps))) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 eps eps) x) x))))
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(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))
(if (<=.f64 x #s(literal -8081706214372289/5316911983139663491615228241121378304 binary64)) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness3.2s (21%)

Rules
6604×*-lowering-*.f32
6604×*-lowering-*.f64
6254×+-lowering-+.f64
6254×+-lowering-+.f32
6232×+-lowering-+.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
08959541
132358605
085258605
045284
1391260
24722259
08086259
05985530
121444864
087734864
06597277
124216497
083576497
048450
1401434
24978434
08055434
040212
1298198
23197190
08469190
02601935
18481727
231681597
090161597
01926
15826
216323
354323
4147922
5545022
0824822
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 1779 to 879 computations (50.6% saved)

preprocess91.0ms (0.6%)

Remove

(abs eps)

Compiler

Compiled 1426 to 358 computations (74.9% saved)

end0.0ms (0%)

Profiling

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