NMSE Section 6.1 mentioned, A

Time bar (total: 18.9s)

analyze58.0ms (0.3%)

Memory
-35.6MiB live, 44.0MiB allocated
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%1.2%0%9
93.7%92.5%6.2%0.1%0%1.2%0%10
96.8%94.9%3.1%0.1%0%1.9%0%11
96.8%94.9%3.1%0.1%0%1.9%0%12
Compiler

Compiled 31 to 21 computations (32.3% saved)

sample2.7s (14.2%)

Memory
-6.0MiB live, 4 383.2MiB allocated
Samples
900.0ms2 371×1valid
786.0ms5 885×0valid
199.0ms1 016×0exit
3.0ms19×1exit
Precisions
Click to see histograms. Total time spent on operations: 1.5s
ival-exp: 337.0ms (22.7% of total)
ival-mult: 277.0ms (18.6% of total)
ival-sub: 238.0ms (16% of total)
ival-div: 210.0ms (14.1% of total)
ival-add: 168.0ms (11.3% of total)
ival-neg: 147.0ms (9.9% of total)
adjust: 86.0ms (5.8% of total)
exact: 12.0ms (0.8% of total)
ival-true: 8.0ms (0.5% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

preprocess409.0ms (2.2%)

Memory
21.0MiB live, 669.2MiB allocated
Algorithm
2×egg-herbie
Rules
11 102×accelerator-lowering-fma.f32
11 102×accelerator-lowering-fma.f64
2 706×*-lowering-*.f32
2 706×*-lowering-*.f64
1 598×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063181
1197166
2600162
31975162
44911160
01929
15529
215427
349527
4111227
5332625
6758525
0812123
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 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1/2 binary64)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
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)
(* (+ (* (pow (exp x) (- -1 eps)) (+ 1 (/ -1 eps))) (* (+ 1 (/ 1 eps)) (pow (exp x) (+ eps -1)))) 1/2)
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) (neg x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) (neg x)))))) 2)
(/ (* (exp x) (+ (/ (+ 1 (/ 1 eps)) (pow (exp eps) x)) (* (pow (exp eps) x) (+ 1 (/ -1 eps))))) 2)
(/ (- (* (+ 1 (/ 1 (neg eps))) (exp (neg (* (- 1 (neg eps)) x)))) (* (- (/ 1 (neg eps)) 1) (exp (neg (* (+ 1 (neg eps)) x))))) 2)
(* (+ (* (pow (exp x) (- -1 eps)) (+ 1 (/ -1 eps))) (* (+ 1 (/ 1 eps)) (pow (exp x) (+ eps -1)))) 1/2)
(neg (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) (neg x))))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) (neg x)))))) 2))
(* (* (exp x) (+ (/ (+ 1 (/ 1 eps)) (pow (exp eps) x)) (* (pow (exp eps) x) (+ 1 (/ -1 eps))))) -1/2)
(neg (/ (- (* (+ 1 (/ 1 (neg eps))) (exp (neg (* (- 1 (neg eps)) x)))) (* (- (/ 1 (neg eps)) 1) (exp (neg (* (+ 1 (neg eps)) x))))) 2))
(* (+ (* (pow (exp x) (- -1 eps)) (+ 1 (/ -1 eps))) (* (+ 1 (/ 1 eps)) (pow (exp x) (+ eps -1)))) -1/2)
(/ (- (* (+ 1 (/ 1 x)) (exp (neg (* (- 1 x) eps)))) (* (- (/ 1 x) 1) (exp (neg (* (+ 1 x) eps))))) 2)
(/ (+ (* (+ 1 (/ 1 x)) (pow (exp eps) (+ x -1))) (* (pow (exp eps) (- -1 x)) (+ 1 (/ -1 x)))) 2)
Symmetry

(abs eps)

explain344.0ms (1.8%)

Memory
-66.2MiB live, 655.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
680-0-(-.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-(/.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))
00-0-(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
00-0-(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
00-0-#s(literal 1 binary64)
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-(-.f64 #s(literal 1 binary64) eps)
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-eps
00-0-(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-(*.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-(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))
00-0-#s(literal 2 binary64)
00-0-(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
00-0-(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.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)))))cancellation680
Confusion
Predicted +Predicted -
+680
-0188
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6800
-01187
Precision?
0.9855072463768116
Recall?
1.0
Freqs
test
numberfreq
0188
168
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
72.0ms376×0valid
49.0ms136×1valid
Compiler

Compiled 348 to 80 computations (77% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-mult: 36.0ms (39% of total)
ival-exp: 21.0ms (22.8% of total)
ival-sub: 9.0ms (9.8% of total)
ival-div: 9.0ms (9.8% of total)
ival-add: 6.0ms (6.5% of total)
ival-neg: 5.0ms (5.4% of total)
adjust: 3.0ms (3.3% of total)
exact: 1.0ms (1.1% of total)
ival-true: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Compiler

Compiled 27 to 17 computations (37% saved)

prune1.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶74.2%
(/.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))
▶74.2%
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1/2 binary64)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
Compiler

Compiled 58 to 36 computations (37.9% saved)

simplify457.0ms (2.4%)

Memory
-11.5MiB live, 752.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.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)))))
✓cost-diff64
(neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))
✓cost-diff64
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
✓cost-diff128
(/.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))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) eps)
✓cost-diff0
(+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1/2 binary64))
✓cost-diff0
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1/2 binary64)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
✓cost-diff0
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1/2 binary64)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
Rules
16 698×accelerator-lowering-fma.f32
16 698×accelerator-lowering-fma.f64
3 346×*-lowering-*.f32
3 346×*-lowering-*.f64
1 864×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031230
176228
2200224
3588224
41384224
54661224
67726224
08177215
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (/ (+ (/ 1/2 eps) 1/2) (exp (* (- 1 eps) x))) (* (exp (* x (- -1 eps))) (- 1/2 (/ 1/2 eps))))
(/ (+ (/ 1/2 eps) 1/2) (exp (* (- 1 eps) x)))
(+ (/ 1/2 eps) 1/2)
(/ 1/2 eps)
1/2
eps
(exp (* (- 1 eps) x))
(* (- 1 eps) x)
(- 1 eps)
1
x
(* (exp (* x (- -1 eps))) (- 1/2 (/ 1/2 eps)))
(exp (* x (- -1 eps)))
(* x (- -1 eps))
(- -1 eps)
-1
(- 1/2 (/ 1/2 eps))
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
(- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))))
(* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x))))
(+ 1 (/ 1 eps))
1
(/ 1 eps)
eps
(exp (neg (* (- 1 eps) x)))
(neg (* (- 1 eps) x))
(* (- 1 eps) x)
(- 1 eps)
x
(* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))
(- (/ 1 eps) 1)
(exp (neg (* (+ 1 eps) x)))
(neg (* (+ 1 eps) x))
(* (+ 1 eps) x)
(+ 1 eps)
2
Outputs
(+ (/ (+ (/ 1/2 eps) 1/2) (exp (* (- 1 eps) x))) (* (exp (* x (- -1 eps))) (- 1/2 (/ 1/2 eps))))
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))))))
(/ (+ (/ 1/2 eps) 1/2) (exp (* (- 1 eps) x)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
(+ (/ 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)
eps
(exp (* (- 1 eps) x))
(exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
(* (- 1 eps) x)
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
(- 1 eps)
(-.f64 #s(literal 1 binary64) eps)
1
#s(literal 1 binary64)
x
(* (exp (* x (- -1 eps))) (- 1/2 (/ 1/2 eps)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64)))))
(exp (* x (- -1 eps)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(* x (- -1 eps))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
-1
#s(literal -1 binary64)
(- 1/2 (/ 1/2 eps))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))))))
(- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))
(+ 1 (/ 1 eps))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
1
#s(literal 1 binary64)
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
eps
(exp (neg (* (- 1 eps) x)))
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(neg (* (- 1 eps) x))
(*.f64 x (+.f64 eps #s(literal -1 binary64)))
(* (- 1 eps) x)
(*.f64 (-.f64 #s(literal 1 binary64) eps) x)
(- 1 eps)
(-.f64 #s(literal 1 binary64) eps)
x
(* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(- (/ 1 eps) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
(exp (neg (* (+ 1 eps) x)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(neg (* (+ 1 eps) x))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(* (+ 1 eps) x)
(*.f64 x (+.f64 eps #s(literal 1 binary64)))
(+ 1 eps)
(+.f64 eps #s(literal 1 binary64))
2
#s(literal 2 binary64)

localize176.0ms (0.9%)

Memory
23.4MiB live, 258.5MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))
✓accuracy100.0%
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
✓accuracy100.0%
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
✓accuracy74.3%
(-.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)))))
✓accuracy100.0%
(exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
✓accuracy100.0%
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
✓accuracy100.0%
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1/2 binary64)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
✓accuracy74.3%
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1/2 binary64)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
Samples
45.0ms129×0valid
37.0ms68×1valid
12.0ms59×0exit
Compiler

Compiled 238 to 33 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-exp: 16.0ms (29.1% of total)
ival-mult: 11.0ms (20% of total)
ival-div: 9.0ms (16.4% of total)
ival-sub: 7.0ms (12.7% of total)
ival-add: 6.0ms (10.9% of total)
adjust: 3.0ms (5.5% of total)
ival-neg: 3.0ms (5.5% of total)
exact: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series45.0ms (0.2%)

Memory
6.5MiB live, 80.2MiB allocated
Counts
13 → 288
Calls
Call 1
Inputs
#<alt (+ (/ (+ (/ 1/2 eps) 1/2) (exp (* (- 1 eps) x))) (* (exp (* x (- -1 eps))) (- 1/2 (/ 1/2 eps))))>
#<alt (/ (+ (/ 1/2 eps) 1/2) (exp (* (- 1 eps) x)))>
#<alt (+ (/ 1/2 eps) 1/2)>
#<alt (/ 1/2 eps)>
#<alt (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)>
#<alt (neg (* (- 1 eps) x))>
#<alt (neg (* (+ 1 eps) x))>
#<alt (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))))>
#<alt (exp (* x (- -1 eps)))>
#<alt (exp (* (- 1 eps) x))>
#<alt (exp (neg (* (+ 1 eps) x)))>
#<alt (exp (neg (* (- 1 eps) x)))>
#<alt (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x))))>
Outputs
#<alt (/ (+ (* -1/2 (exp (* -1 x))) (* 1/2 (/ 1 (exp x)))) eps)>
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#<alt (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))>
#<alt (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))>
#<alt 1>
#<alt (+ 1 (* -1 (* x (+ 1 eps))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 x))>
#<alt (+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (exp x)>
#<alt (+ (exp x) (* -1 (* eps (* x (exp x)))))>
#<alt (+ (exp x) (* eps (+ (* -1 (* x (exp x))) (* 1/2 (* eps (* (pow x 2) (exp x)))))))>
#<alt (+ (exp x) (* eps (+ (* -1 (* x (exp x))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp x)))) (* 1/2 (* (pow x 2) (exp x))))))))>
#<alt (exp (* x (- 1 eps)))>
#<alt (exp (* x (- 1 eps)))>
#<alt (exp (* x (- 1 eps)))>
#<alt (exp (* x (- 1 eps)))>
#<alt (exp (* x (+ 1 (* -1 eps))))>
#<alt (exp (* x (+ 1 (* -1 eps))))>
#<alt (exp (* x (+ 1 (* -1 eps))))>
#<alt (exp (* x (+ 1 (* -1 eps))))>
#<alt 1>
#<alt (+ 1 (* x (- 1 eps)))>
#<alt (+ 1 (* x (- (+ 1 (* 1/2 (* x (pow (- 1 eps) 2)))) eps)))>
#<alt (+ 1 (* x (- (+ 1 (* x (+ (* 1/6 (* x (pow (- 1 eps) 3))) (* 1/2 (pow (- 1 eps) 2))))) eps)))>
#<alt (exp (* x (- 1 eps)))>
#<alt (exp (* x (- 1 eps)))>
#<alt (exp (* x (- 1 eps)))>
#<alt (exp (* x (- 1 eps)))>
#<alt (exp (* x (- 1 eps)))>
#<alt (exp (* x (- 1 eps)))>
#<alt (exp (* x (- 1 eps)))>
#<alt (exp (* x (- 1 eps)))>
#<alt (exp (neg x))>
#<alt (+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))>
#<alt (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))>
#<alt (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))>
#<alt (exp (neg (* x (+ 1 eps))))>
#<alt (exp (neg (* x (+ 1 eps))))>
#<alt (exp (neg (* x (+ 1 eps))))>
#<alt (exp (neg (* x (+ 1 eps))))>
#<alt (exp (neg (* x (- 1 (* -1 eps)))))>
#<alt (exp (neg (* x (- 1 (* -1 eps)))))>
#<alt (exp (neg (* x (- 1 (* -1 eps)))))>
#<alt (exp (neg (* x (- 1 (* -1 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 (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (* x (+ 1 eps))))>
#<alt (exp (neg (* x (+ 1 eps))))>
#<alt (exp (neg (* x (+ 1 eps))))>
#<alt (exp (neg (* x (+ 1 eps))))>
#<alt (exp (neg x))>
#<alt (+ (exp (neg x)) (* eps (* x (exp (neg x)))))>
#<alt (+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))>
#<alt (+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x))))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt 1>
#<alt (+ 1 (* x (- eps 1)))>
#<alt (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))>
#<alt (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (/ (exp (neg x)) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps)>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))>
#<alt (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))>
#<alt (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt (+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))>
#<alt (+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))>
#<alt (+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))>
#<alt (+ 1 (/ 1 eps))>
#<alt (+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))>
#<alt (+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))>
#<alt (+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))>
#<alt (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))>
#<alt (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))>
#<alt (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))>
#<alt (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))>
#<alt (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))>
#<alt (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))>
#<alt (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))>
#<alt (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))>
Calls

72 calls:

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

rewrite450.0ms (2.4%)

Memory
42.4MiB live, 812.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 754×/-lowering-/.f32
4 754×/-lowering-/.f64
4 436×*-lowering-*.f32
4 436×*-lowering-*.f64
2 540×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031151
1191143
21622143
08158140
Stop Event
1×iter limit
1×node limit
Counts
13 → 666
Calls
Call 1
Inputs
(+ (/ (+ (/ 1/2 eps) 1/2) (exp (* (- 1 eps) x))) (* (exp (* x (- -1 eps))) (- 1/2 (/ 1/2 eps))))
(/ (+ (/ 1/2 eps) 1/2) (exp (* (- 1 eps) x)))
(+ (/ 1/2 eps) 1/2)
(/ 1/2 eps)
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
(neg (* (- 1 eps) x))
(neg (* (+ 1 eps) x))
(- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))))
(exp (* x (- -1 eps)))
(exp (* (- 1 eps) x))
(exp (neg (* (+ 1 eps) x)))
(exp (neg (* (- 1 eps) x)))
(* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x))))
Outputs
(+.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))
(-.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (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)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(-.f64 (/.f64 (*.f64 (exp.f64 (+.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (*.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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))) (exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))
(fma.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))
(fma.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 eps (*.f64 eps eps))) #s(literal 1/8 binary64))) #s(literal -1 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 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 eps eps)) #s(literal -1/4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal -1/2 binary64))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
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simplify574.0ms (3%)

Memory
-1.5MiB live, 1 152.7MiB allocated
Algorithm
1×egg-herbie
Rules
15 116×accelerator-lowering-fma.f32
15 116×accelerator-lowering-fma.f64
5 708×*-lowering-*.f32
5 708×*-lowering-*.f64
3 850×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06095296
119754639
267404534
085624289
Stop Event
1×iter limit
1×node limit
Counts
288 → 288
Calls
Call 1
Inputs
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(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (+ (* 1/24 (* (pow x 4) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x))))))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
2
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
1
(+ 1 (* -1 (* x (+ 1 eps))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 x))
(+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x))))))
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))))))
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(exp x)
(+ (exp x) (* -1 (* eps (* x (exp x)))))
(+ (exp x) (* eps (+ (* -1 (* x (exp x))) (* 1/2 (* eps (* (pow x 2) (exp x)))))))
(+ (exp x) (* eps (+ (* -1 (* x (exp x))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp x)))) (* 1/2 (* (pow x 2) (exp x))))))))
(exp (* x (- 1 eps)))
(exp (* x (- 1 eps)))
(exp (* x (- 1 eps)))
(exp (* x (- 1 eps)))
(exp (* x (+ 1 (* -1 eps))))
(exp (* x (+ 1 (* -1 eps))))
(exp (* x (+ 1 (* -1 eps))))
(exp (* x (+ 1 (* -1 eps))))
1
(+ 1 (* x (- 1 eps)))
(+ 1 (* x (- (+ 1 (* 1/2 (* x (pow (- 1 eps) 2)))) eps)))
(+ 1 (* x (- (+ 1 (* x (+ (* 1/6 (* x (pow (- 1 eps) 3))) (* 1/2 (pow (- 1 eps) 2))))) eps)))
(exp (* x (- 1 eps)))
(exp (* x (- 1 eps)))
(exp (* x (- 1 eps)))
(exp (* x (- 1 eps)))
(exp (* x (- 1 eps)))
(exp (* x (- 1 eps)))
(exp (* x (- 1 eps)))
(exp (* x (- 1 eps)))
(exp (neg x))
(+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (- 1 (* -1 eps)))))
(exp (neg (* x (- 1 (* -1 eps)))))
(exp (neg (* x (- 1 (* -1 eps)))))
(exp (neg (* x (- 1 (* -1 eps)))))
1
(+ 1 (* -1 (* x (+ 1 eps))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg x))
(+ (exp (neg x)) (* eps (* x (exp (neg x)))))
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))
(+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x))))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp (neg (* x (+ 1 (* -1 eps)))))
1
(+ 1 (* x (- eps 1)))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(/ (exp (neg x)) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps)
(exp (neg (* x (- 1 eps))))
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))
(exp (neg (* x (+ 1 (* -1 eps)))))
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))
(+ 1 (/ 1 eps))
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))
(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
Outputs
(/ (+ (* -1/2 (exp (* -1 x))) (* 1/2 (/ 1 (exp x)))) eps)
#s(literal 0 binary64)
(/ (+ (* -1/2 (exp (* -1 x))) (+ (* 1/2 (/ 1 (exp x))) (* eps (- (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (* 1/2 (/ 1 (exp x))))) (* -1/2 (/ x (exp x))))))) eps)
(/.f64 (+.f64 (*.f64 eps (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))))) #s(literal 0 binary64)) eps)
(/ (+ (* -1/2 (exp (* -1 x))) (+ (* 1/2 (/ 1 (exp x))) (* eps (- (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (+ (* 1/2 (/ 1 (exp x))) (* eps (- (+ (* -1/2 (* x (exp (* -1 x)))) (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (/ x (exp x))))) (+ (* -1/2 (/ (pow x 2) (exp x))) (* 1/4 (/ (pow x 2) (exp x))))))))) (* -1/2 (/ x (exp x))))))) eps)
(/.f64 (+.f64 (*.f64 eps (+.f64 (+.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (exp.f64 x))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 x (exp.f64 x))) #s(literal 0 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x))))) #s(literal 0 binary64)) eps)
(/ (+ (* -1/2 (exp (* -1 x))) (+ (* 1/2 (/ 1 (exp x))) (* eps (- (+ (* 1/2 (exp (* -1 x))) (+ (* 1/2 (* x (exp (* -1 x)))) (+ (* 1/2 (/ 1 (exp x))) (* eps (- (+ (* -1/2 (* x (exp (* -1 x)))) (+ (* -1/4 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (/ x (exp x))) (* eps (- (+ (* -1/2 (+ (* -1 (/ (pow x 2) (exp x))) (* 1/2 (/ (pow x 2) (exp x))))) (+ (* 1/12 (* (pow x 3) (exp (* -1 x)))) (* 1/4 (* (pow x 2) (exp (* -1 x)))))) (+ (* -1/12 (/ (pow x 3) (exp x))) (+ (* 1/4 (/ (pow x 3) (exp x))) (* x (+ (* -1/2 (/ (pow x 2) (exp x))) (* 1/4 (/ (pow x 2) (exp x)))))))))))) (+ (* -1/2 (/ (pow x 2) (exp x))) (* 1/4 (/ (pow x 2) (exp x))))))))) (* -1/2 (/ x (exp x))))))) eps)
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(+ (* 1/2 (exp (* -1 (* x (+ 1 eps))))) (* 1/2 (/ 1 (exp (* x (- 1 eps))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))))
(+ (* -1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps)) (+ (* 1/2 (exp (* -1 (* x (+ 1 eps))))) (+ (* 1/2 (/ 1 (exp (* x (- 1 eps))))) (/ 1/2 (* eps (exp (* x (- 1 eps))))))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) eps)) (*.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(+ (* -1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps)) (+ (* 1/2 (exp (* -1 (* x (+ 1 eps))))) (+ (* 1/2 (/ 1 (exp (* x (- 1 eps))))) (/ 1/2 (* eps (exp (* x (- 1 eps))))))))
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(+ (* -1/2 (/ (exp (* -1 (* x (+ 1 eps)))) eps)) (+ (* 1/2 (exp (* -1 (* x (+ 1 eps))))) (+ (* 1/2 (/ 1 (exp (* x (- 1 eps))))) (/ 1/2 (* eps (exp (* x (- 1 eps))))))))
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(+ (* 1/2 (exp (* x (- (* -1 eps) 1)))) (* 1/2 (/ 1 (exp (* x (+ 1 (* -1 eps)))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))))
(+ (* -1 (/ (- (* 1/2 (exp (* x (- (* -1 eps) 1)))) (* 1/2 (/ 1 (exp (* x (+ 1 (* -1 eps))))))) eps)) (+ (* 1/2 (exp (* x (- (* -1 eps) 1)))) (* 1/2 (/ 1 (exp (* x (+ 1 (* -1 eps))))))))
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(+ (* -1 (/ (- (* 1/2 (exp (* x (- (* -1 eps) 1)))) (* 1/2 (/ 1 (exp (* x (+ 1 (* -1 eps))))))) eps)) (+ (* 1/2 (exp (* x (- (* -1 eps) 1)))) (* 1/2 (/ 1 (exp (* x (+ 1 (* -1 eps))))))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (-.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) eps) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
(+ (* -1 (/ (- (* 1/2 (exp (* x (- (* -1 eps) 1)))) (* 1/2 (/ 1 (exp (* x (+ 1 (* -1 eps))))))) eps)) (+ (* 1/2 (exp (* x (- (* -1 eps) 1)))) (* 1/2 (/ 1 (exp (* x (+ 1 (* -1 eps))))))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (-.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) eps) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))
1
#s(literal 1 binary64)
(+ 1 (* x (- (+ (* -1 (* (+ 1 eps) (- 1/2 (* 1/2 (/ 1 eps))))) (* 1/2 (- eps 1))) (* 1/2 (/ (- 1 eps) eps)))))
(+.f64 #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 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (-.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))))))
(+ 1 (* x (- (+ (* -1 (* (+ 1 eps) (- 1/2 (* 1/2 (/ 1 eps))))) (+ (* 1/2 (- eps 1)) (* x (- (+ (* -1/2 (+ (* 1/2 (pow (- 1 eps) 2)) (* (- 1 eps) (- eps 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- 1/2 (* 1/2 (/ 1 eps)))))) (+ (* -1/2 (/ (pow (- 1 eps) 2) eps)) (* 1/4 (/ (pow (- 1 eps) 2) eps))))))) (* 1/2 (/ (- 1 eps) eps)))))
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(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) (*.f64 x #s(literal 1/6 binary64))))) (-.f64 #s(literal 1 binary64) eps))))
(exp (* x (- 1 eps)))
(exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))
(exp (* x (- 1 eps)))
(exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))
(exp (* x (- 1 eps)))
(exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))
(exp (* x (- 1 eps)))
(exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))
(exp (* x (- 1 eps)))
(exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))
(exp (* x (- 1 eps)))
(exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))
(exp (* x (- 1 eps)))
(exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))
(exp (* x (- 1 eps)))
(exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))
(-.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (*.f64 x (/.f64 eps (exp.f64 x))))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (*.f64 eps (-.f64 (*.f64 (/.f64 (*.f64 x x) (exp.f64 x)) (*.f64 #s(literal 1/2 binary64) eps)) (/.f64 x (exp.f64 x)))))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))
(+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 x)) (*.f64 (*.f64 (*.f64 x x) (/.f64 x (exp.f64 x))) (*.f64 eps #s(literal -1/6 binary64))))) (/.f64 x (exp.f64 x)))))
(exp (neg (* x (+ 1 eps))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (neg (* x (+ 1 eps))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (neg (* x (+ 1 eps))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (neg (* x (+ 1 eps))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (neg (* x (- 1 (* -1 eps)))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (neg (* x (- 1 (* -1 eps)))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (neg (* x (- 1 (* -1 eps)))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (neg (* x (- 1 (* -1 eps)))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x (+ 1 eps))))
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 (*.f64 x (*.f64 (*.f64 #s(literal -1/6 binary64) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) eps))))))))
(exp (neg (+ x (* eps x))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (neg (+ x (* eps x))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (neg (+ x (* eps x))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (neg (+ x (* eps x))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (neg (* x (+ 1 eps))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (neg (* x (+ 1 eps))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (neg (* x (+ 1 eps))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (neg (* x (+ 1 eps))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (neg x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(+ (exp (neg x)) (* eps (* x (exp (neg x)))))
(*.f64 (+.f64 (*.f64 x eps) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x)))
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (/.f64 (*.f64 eps (*.f64 x x)) (exp.f64 x))) (*.f64 (+.f64 (*.f64 x eps) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x))))))
(+.f64 (*.f64 (*.f64 eps eps) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (exp.f64 x)) (*.f64 (*.f64 (*.f64 x x) (/.f64 x (exp.f64 x))) (*.f64 eps #s(literal 1/6 binary64))))) (*.f64 (+.f64 (*.f64 x eps) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (exp.f64 x))))
(exp (neg (* x (- 1 eps))))
(exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))
(exp (neg (* x (- 1 eps))))
(exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))
(exp (neg (* x (- 1 eps))))
(exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))
(exp (neg (* x (- 1 eps))))
(exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))
1
#s(literal 1 binary64)
(+ 1 (* x (- eps 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) eps)))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) eps)))) (+.f64 #s(literal -1 binary64) eps))))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 x (+.f64 #s(literal -1 binary64) eps)))))) (+.f64 #s(literal -1 binary64) eps))))
(exp (- (* eps x) x))
(exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))
(exp (- (* eps x) x))
(exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))
(exp (- (* eps x) x))
(exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))
(exp (- (* eps x) x))
(exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))
(exp (neg (* x (- 1 eps))))
(exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))
(exp (neg (* x (- 1 eps))))
(exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))
(exp (neg (* x (- 1 eps))))
(exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))
(exp (neg (* x (- 1 eps))))
(exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))
(/ (exp (neg x)) eps)
(/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (*.f64 eps (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)))) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))) (* x (exp (neg x))))))) eps)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (*.f64 eps (+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) (*.f64 eps (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x)))))) (* x (exp (neg x))))))) eps)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (*.f64 eps (+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (exp.f64 x)) (*.f64 eps (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (*.f64 eps (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/6 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))))))) eps)
(exp (neg (* x (- 1 eps))))
(exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))
(*.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))
(*.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))
(*.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))
(*.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))
(*.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))
(*.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+ 1 (/ 1 eps))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))))
(+ 1 (+ (* x (+ (* 1/2 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))))))))
(+ 1 (+ (* x (+ (* x (+ (* 1/6 (* x (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))) (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 eps)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (*.f64 (*.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal -1 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))))))))
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(*.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(*.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(*.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(*.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(*.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(*.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(*.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(*.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))

eval136.0ms (0.7%)

Memory
-4.7MiB live, 318.7MiB allocated
Compiler

Compiled 45 213 to 3 333 computations (92.6% saved)

prune515.0ms (2.7%)

Memory
-18.1MiB live, 224.0MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New9776983
Fresh000
Picked202
Done000
Total9796985
Accuracy
100.0%
Counts
985 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.1%
(/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x) #s(literal 3 binary64)))) (*.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 (*.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))) (exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))))))
▶80.0%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))))) #s(literal 2 binary64))
▶39.8%
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1/2 binary64)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
▶39.1%
(+.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 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
▶42.9%
#s(literal 1 binary64)
▶14.1%
#s(literal 0 binary64)
Compiler

Compiled 452 to 196 computations (56.6% saved)

simplify671.0ms (3.6%)

Memory
21.8MiB live, 844.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1/2 binary64))
✓cost-diff0
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1/2 binary64)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
✓cost-diff0
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1/2 binary64)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
✓cost-diff128
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
✓cost-diff0
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) eps)
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
✓cost-diff0
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
✓cost-diff256
(*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
✓cost-diff256
(*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
✓cost-diff384
(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
✓cost-diff768
(+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))))
Rules
20 586×accelerator-lowering-fma.f32
20 586×accelerator-lowering-fma.f64
3 732×+-lowering-+.f64
3 732×+-lowering-+.f32
3 334×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042576
1127552
2503540
32214510
44002366
08377346
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ 2 (* x (+ (* (+ -1 eps) (+ 1 (/ 1 eps))) (+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (* (+ 1 eps) (+ -1 (/ 1 eps))))))) 2)
(+ 2 (* x (+ (* (+ -1 eps) (+ 1 (/ 1 eps))) (+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (* (+ 1 eps) (+ -1 (/ 1 eps)))))))
2
(* x (+ (* (+ -1 eps) (+ 1 (/ 1 eps))) (+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (* (+ 1 eps) (+ -1 (/ 1 eps))))))
x
(+ (* (+ -1 eps) (+ 1 (/ 1 eps))) (+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (* (+ 1 eps) (+ -1 (/ 1 eps)))))
(* (+ -1 eps) (+ 1 (/ 1 eps)))
(+ -1 eps)
-1
eps
(+ 1 (/ 1 eps))
1
(/ 1 eps)
(+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (* (+ 1 eps) (+ -1 (/ 1 eps))))
(* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps)))))
(+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))
(* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps)))
(* (- 1 eps) (- 1 eps))
(- 1 eps)
(+ 1/2 (/ 1/2 eps))
1/2
(/ 1/2 eps)
(* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps)))
(* -1/2 (+ -1 (/ 1 eps)))
-1/2
(+ -1 (/ 1 eps))
(* (+ 1 eps) (+ 1 eps))
(+ 1 eps)
(* (+ 1 eps) (+ -1 (/ 1 eps)))
0
1
(+ (+ 1/2 (/ 1/2 eps)) (* (exp (* x (- -1 eps))) (- 1/2 (/ 1/2 eps))))
(+ 1/2 (/ 1/2 eps))
1/2
(/ 1/2 eps)
eps
(* (exp (* x (- -1 eps))) (- 1/2 (/ 1/2 eps)))
(exp (* x (- -1 eps)))
(* x (- -1 eps))
x
(- -1 eps)
-1
(- 1/2 (/ 1/2 eps))
(+ (/ (+ (/ 1/2 eps) 1/2) (exp (* (- 1 eps) x))) (* 1 (- 1/2 (/ 1/2 eps))))
(/ (+ (/ 1/2 eps) 1/2) (exp (* (- 1 eps) x)))
(+ (/ 1/2 eps) 1/2)
(/ 1/2 eps)
1/2
eps
(exp (* (- 1 eps) x))
(* (- 1 eps) x)
(- 1 eps)
1
x
(* 1 (- 1/2 (/ 1/2 eps)))
(- 1/2 (/ 1/2 eps))
Outputs
(/ (+ 2 (* x (+ (* (+ -1 eps) (+ 1 (/ 1 eps))) (+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (* (+ 1 eps) (+ -1 (/ 1 eps))))))) 2)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x x))) #s(literal 2 binary64))
(+ 2 (* x (+ (* (+ -1 eps) (+ 1 (/ 1 eps))) (+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (* (+ 1 eps) (+ -1 (/ 1 eps)))))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x x)))
2
#s(literal 2 binary64)
(* x (+ (* (+ -1 eps) (+ 1 (/ 1 eps))) (+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (* (+ 1 eps) (+ -1 (/ 1 eps))))))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) eps) #s(literal -1/2 binary64)))) (*.f64 x x))
x
(+ (* (+ -1 eps) (+ 1 (/ 1 eps))) (+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (* (+ 1 eps) (+ -1 (/ 1 eps)))))
(*.f64 x (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) eps) #s(literal -1/2 binary64)))))
(* (+ -1 eps) (+ 1 (/ 1 eps)))
(+.f64 eps (/.f64 #s(literal -1 binary64) eps))
(+ -1 eps)
(+.f64 #s(literal -1 binary64) eps)
-1
#s(literal -1 binary64)
eps
(+ 1 (/ 1 eps))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
1
#s(literal 1 binary64)
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (* (+ 1 eps) (+ -1 (/ 1 eps))))
(+.f64 (/.f64 #s(literal 1 binary64) eps) (-.f64 (*.f64 x (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) eps) #s(literal -1/2 binary64))))) eps))
(* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps)))))
(*.f64 x (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) eps) #s(literal -1/2 binary64)))))
(+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (+.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) eps) #s(literal -1/2 binary64))))
(* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps)))
(*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)))
(* (- 1 eps) (- 1 eps))
(*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) eps))
(- 1 eps)
(-.f64 #s(literal 1 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)
(* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps)))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)))
(* -1/2 (+ -1 (/ 1 eps)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))
-1/2
#s(literal -1/2 binary64)
(+ -1 (/ 1 eps))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
(* (+ 1 eps) (+ 1 eps))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))
(+ 1 eps)
(+.f64 eps #s(literal 1 binary64))
(* (+ 1 eps) (+ -1 (/ 1 eps)))
(-.f64 (/.f64 #s(literal 1 binary64) eps) eps)
0
#s(literal 0 binary64)
1
#s(literal 1 binary64)
(+ (+ 1/2 (/ 1/2 eps)) (* (exp (* x (- -1 eps))) (- 1/2 (/ 1/2 eps))))
(+.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 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 (/ 1/2 eps)))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 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 (/ 1/2 eps))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))
(+ (/ (+ (/ 1/2 eps) 1/2) (exp (* (- 1 eps) x))) (* 1 (- 1/2 (/ 1/2 eps))))
(+.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)) (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))))
(/ (+ (/ 1/2 eps) 1/2) (exp (* (- 1 eps) x)))
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))))
(+ (/ 1/2 eps) 1/2)
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))
(/ 1/2 eps)
(/.f64 #s(literal 1/2 binary64) eps)
1/2
#s(literal 1/2 binary64)
eps
(exp (* (- 1 eps) x))
(exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))
(* (- 1 eps) x)
(*.f64 x (-.f64 #s(literal 1 binary64) eps))
(- 1 eps)
(-.f64 #s(literal 1 binary64) eps)
1
#s(literal 1 binary64)
x
(* 1 (- 1/2 (/ 1/2 eps)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))
(- 1/2 (/ 1/2 eps))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))

localize418.0ms (2.2%)

Memory
-44.9MiB live, 444.5MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
✓accuracy100.0%
(exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
✓accuracy100.0%
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1/2 binary64)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
✓accuracy74.5%
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1/2 binary64)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
✓accuracy100.0%
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
✓accuracy100.0%
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
✓accuracy100.0%
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
✓accuracy74.5%
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
✓accuracy97.4%
(*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))))
✓accuracy95.9%
(*.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))
✓accuracy62.5%
(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
✓accuracy56.8%
(+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))))
Samples
86.0ms105×1valid
52.0ms29×2valid
44.0ms63×0valid
15.0ms59×0exit
Compiler

Compiled 556 to 44 computations (92.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 147.0ms
ival-mult: 52.0ms (35.3% of total)
ival-add: 35.0ms (23.7% of total)
adjust: 32.0ms (21.7% of total)
ival-div: 11.0ms (7.5% of total)
ival-exp: 10.0ms (6.8% of total)
ival-sub: 6.0ms (4.1% of total)
exact: 1.0ms (0.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series78.0ms (0.4%)

Memory
11.8MiB live, 49.7MiB allocated
Counts
17 → 324
Calls
Call 1
Inputs
#<alt (+ (* (+ -1 eps) (+ 1 (/ 1 eps))) (+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (* (+ 1 eps) (+ -1 (/ 1 eps)))))>
#<alt (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))>
#<alt (* (+ -1 eps) (+ 1 (/ 1 eps)))>
#<alt (* (+ 1 eps) (+ -1 (/ 1 eps)))>
#<alt (+ (+ 1/2 (/ 1/2 eps)) (* (exp (* x (- -1 eps))) (- 1/2 (/ 1/2 eps))))>
#<alt (+ 1/2 (/ 1/2 eps))>
#<alt (/ 1/2 eps)>
#<alt (* (exp (* x (- -1 eps))) (- 1/2 (/ 1/2 eps)))>
#<alt (* 1 (- 1/2 (/ 1/2 eps)))>
#<alt (+ (/ (+ (/ 1/2 eps) 1/2) (exp (* (- 1 eps) x))) (* 1 (- 1/2 (/ 1/2 eps))))>
#<alt (/ (+ (/ 1/2 eps) 1/2) (exp (* (- 1 eps) x)))>
#<alt (+ (/ 1/2 eps) 1/2)>
#<alt (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps)))))>
#<alt (* x (+ (* (+ -1 eps) (+ 1 (/ 1 eps))) (+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (* (+ 1 eps) (+ -1 (/ 1 eps))))))>
#<alt (exp (* x (- -1 eps)))>
#<alt (* x (- -1 eps))>
#<alt (exp (* (- 1 eps) x))>
Outputs
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* (pow eps 2) x))>
#<alt (+ (* -1 x) (* (pow eps 2) x))>
#<alt (+ (* -1 x) (* (pow eps 2) x))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))>
#<alt (+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))>
#<alt (+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))>
#<alt (+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))>
#<alt (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2))))>
#<alt (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))))>
#<alt (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))))>
#<alt (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))))>
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#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))>
#<alt (* x (+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))>
#<alt (* x (+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))>
#<alt (* x (+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))>
#<alt (* (pow x 2) (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2))))>
#<alt (* (pow x 2) (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))))>
#<alt (* (pow x 2) (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))))>
#<alt (* (pow x 2) (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))))>
#<alt (* (pow x 2) (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2))))>
#<alt (* (pow x 2) (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))))>
#<alt (* (pow x 2) (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))))>
#<alt (* (pow x 2) (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))))>
#<alt (* -1 (pow x 2))>
#<alt (+ (* -1 (pow x 2)) (* (pow eps 2) (pow x 2)))>
#<alt (+ (* -1 (pow x 2)) (* (pow eps 2) (pow x 2)))>
#<alt (+ (* -1 (pow x 2)) (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))>
#<alt 1>
#<alt (+ 1 (* -1 (* x (+ 1 eps))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 x))>
#<alt (+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (* -1 (* eps x))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* -1 (* eps x))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<alt (exp x)>
#<alt (+ (exp x) (* -1 (* eps (* x (exp x)))))>
#<alt (+ (exp x) (* eps (+ (* -1 (* x (exp x))) (* 1/2 (* eps (* (pow x 2) (exp x)))))))>
#<alt (+ (exp x) (* eps (+ (* -1 (* x (exp x))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp x)))) (* 1/2 (* (pow x 2) (exp x))))))))>
#<alt (exp (* x (- 1 eps)))>
#<alt (exp (* x (- 1 eps)))>
#<alt (exp (* x (- 1 eps)))>
#<alt (exp (* x (- 1 eps)))>
#<alt (exp (* x (+ 1 (* -1 eps))))>
#<alt (exp (* x (+ 1 (* -1 eps))))>
#<alt (exp (* x (+ 1 (* -1 eps))))>
#<alt (exp (* x (+ 1 (* -1 eps))))>
#<alt 1>
#<alt (+ 1 (* x (- 1 eps)))>
#<alt (+ 1 (* x (- (+ 1 (* 1/2 (* x (pow (- 1 eps) 2)))) eps)))>
#<alt (+ 1 (* x (- (+ 1 (* x (+ (* 1/6 (* x (pow (- 1 eps) 3))) (* 1/2 (pow (- 1 eps) 2))))) eps)))>
#<alt (exp (* x (- 1 eps)))>
#<alt (exp (* x (- 1 eps)))>
#<alt (exp (* x (- 1 eps)))>
#<alt (exp (* x (- 1 eps)))>
#<alt (exp (* x (- 1 eps)))>
#<alt (exp (* x (- 1 eps)))>
#<alt (exp (* x (- 1 eps)))>
#<alt (exp (* x (- 1 eps)))>
Calls

81 calls:

TimeVariablePointExpression
57.0ms
eps
@-inf
(* (exp (* x (- -1 eps))) (- 1/2 (/ 1/2 eps)))
2.0ms
eps
@0
(+ (* (+ -1 eps) (+ 1 (/ 1 eps))) (+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (* (+ 1 eps) (+ -1 (/ 1 eps)))))
1.0ms
x
@0
(+ (* (+ -1 eps) (+ 1 (/ 1 eps))) (+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (* (+ 1 eps) (+ -1 (/ 1 eps)))))
1.0ms
eps
@-inf
(+ (* (+ -1 eps) (+ 1 (/ 1 eps))) (+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (* (+ 1 eps) (+ -1 (/ 1 eps)))))
1.0ms
eps
@inf
(+ (* (+ -1 eps) (+ 1 (/ 1 eps))) (+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (* (+ 1 eps) (+ -1 (/ 1 eps)))))

rewrite481.0ms (2.5%)

Memory
7.0MiB live, 565.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 426×/-lowering-/.f32
4 426×/-lowering-/.f64
3 398×*-lowering-*.f32
3 398×*-lowering-*.f64
2 894×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038261
1281253
23298253
08682244
Stop Event
1×iter limit
1×node limit
Counts
17 → 672
Calls
Call 1
Inputs
(+ (* (+ -1 eps) (+ 1 (/ 1 eps))) (+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (* (+ 1 eps) (+ -1 (/ 1 eps)))))
(+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))
(* (+ -1 eps) (+ 1 (/ 1 eps)))
(* (+ 1 eps) (+ -1 (/ 1 eps)))
(+ (+ 1/2 (/ 1/2 eps)) (* (exp (* x (- -1 eps))) (- 1/2 (/ 1/2 eps))))
(+ 1/2 (/ 1/2 eps))
(/ 1/2 eps)
(* (exp (* x (- -1 eps))) (- 1/2 (/ 1/2 eps)))
(* 1 (- 1/2 (/ 1/2 eps)))
(+ (/ (+ (/ 1/2 eps) 1/2) (exp (* (- 1 eps) x))) (* 1 (- 1/2 (/ 1/2 eps))))
(/ (+ (/ 1/2 eps) 1/2) (exp (* (- 1 eps) x)))
(+ (/ 1/2 eps) 1/2)
(* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps)))))
(* x (+ (* (+ -1 eps) (+ 1 (/ 1 eps))) (+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (* (+ 1 eps) (+ -1 (/ 1 eps))))))
(exp (* x (- -1 eps)))
(* x (- -1 eps))
(exp (* (- 1 eps) x))
Outputs
(+.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (+.f64 (*.f64 x (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))))
(+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))))
(+.f64 (*.f64 x (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(+.f64 (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) (*.f64 x (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))))
(+.f64 (+.f64 (*.f64 x (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (+.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(+.f64 (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) (*.f64 x (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))))) (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))
(+.f64 (+.f64 (+.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 x (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))
(+.f64 (+.f64 (+.f64 (*.f64 x (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (+.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal -1 binary64) eps)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))
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simplify595.0ms (3.2%)

Memory
12.1MiB live, 796.6MiB allocated
Algorithm
1×egg-herbie
Rules
15 250×accelerator-lowering-fma.f32
15 250×accelerator-lowering-fma.f64
5 160×*-lowering-*.f32
5 160×*-lowering-*.f64
3 798×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04575094
114544862
249244521
082904270
Stop Event
1×iter limit
1×node limit
Counts
324 → 324
Calls
Call 1
Inputs
(* -1 x)
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(+ (* -1 x) (* (pow eps 2) x))
(+ (* -1 x) (* (pow eps 2) x))
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(- (+ 1/2 (+ (* 1/2 (/ 1 (exp (* x (- 1 eps))))) (* 1/2 (/ 1 (* eps (exp (* x (- 1 eps)))))))) (* 1/2 (/ 1 eps)))
(- (+ 1/2 (+ (* 1/2 (/ 1 (exp (* x (- 1 eps))))) (* 1/2 (/ 1 (* eps (exp (* x (- 1 eps)))))))) (* 1/2 (/ 1 eps)))
(- (+ 1/2 (+ (* 1/2 (/ 1 (exp (* x (- 1 eps))))) (* 1/2 (/ 1 (* eps (exp (* x (- 1 eps)))))))) (* 1/2 (/ 1 eps)))
(- (+ 1/2 (+ (* 1/2 (/ 1 (exp (* x (- 1 eps))))) (* 1/2 (/ 1 (* eps (exp (* x (- 1 eps)))))))) (* 1/2 (/ 1 eps)))
(- (+ 1/2 (+ (* 1/2 (/ 1 (exp (* x (- 1 eps))))) (* 1/2 (/ 1 (* eps (exp (* x (- 1 eps)))))))) (* 1/2 (/ 1 eps)))
(- (+ 1/2 (+ (* 1/2 (/ 1 (exp (* x (- 1 eps))))) (* 1/2 (/ 1 (* eps (exp (* x (- 1 eps)))))))) (* 1/2 (/ 1 eps)))
(/ 1/2 (* eps (exp x)))
(/ (+ (* eps (- (* 1/2 (/ 1 (exp x))) (* -1/2 (/ x (exp x))))) (* 1/2 (/ 1 (exp x)))) eps)
(/ (+ (* eps (- (+ (* -1 (* eps (+ (* -1 (* x (- (* 1/2 (/ 1 (exp x))) (* -1/2 (/ x (exp x)))))) (* 1/4 (/ (pow x 2) (exp x)))))) (* 1/2 (/ 1 (exp x)))) (* -1/2 (/ x (exp x))))) (* 1/2 (/ 1 (exp x)))) eps)
(/ (+ (* eps (- (+ (* 1/2 (/ 1 (exp x))) (* eps (- (* -1 (* eps (+ (* -1/12 (/ (pow x 3) (exp x))) (+ (* 1/2 (* (pow x 2) (- (* 1/2 (/ 1 (exp x))) (* -1/2 (/ x (exp x)))))) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 (exp x))) (* -1/2 (/ x (exp x)))))) (* 1/4 (/ (pow x 2) (exp x))))))))) (+ (* -1 (* x (- (* 1/2 (/ 1 (exp x))) (* -1/2 (/ x (exp x)))))) (* 1/4 (/ (pow x 2) (exp x))))))) (* -1/2 (/ x (exp x))))) (* 1/2 (/ 1 (exp x)))) eps)
(/ 1/2 (exp (* x (- 1 eps))))
(+ (* 1/2 (/ 1 (exp (* x (- 1 eps))))) (* 1/2 (/ 1 (* eps (exp (* x (- 1 eps)))))))
(+ (* 1/2 (/ 1 (exp (* x (- 1 eps))))) (* 1/2 (/ 1 (* eps (exp (* x (- 1 eps)))))))
(+ (* 1/2 (/ 1 (exp (* x (- 1 eps))))) (* 1/2 (/ 1 (* eps (exp (* x (- 1 eps)))))))
(/ 1/2 (exp (* x (+ 1 (* -1 eps)))))
(+ (* 1/2 (/ 1 (exp (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ 1 (* eps (exp (* x (+ 1 (* -1 eps))))))))
(+ (* 1/2 (/ 1 (exp (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ 1 (* eps (exp (* x (+ 1 (* -1 eps))))))))
(+ (* 1/2 (/ 1 (exp (* x (+ 1 (* -1 eps)))))) (* 1/2 (/ 1 (* eps (exp (* x (+ 1 (* -1 eps))))))))
(+ 1/2 (* 1/2 (/ 1 eps)))
(+ 1/2 (+ (* -1 (* x (* (+ 1/2 (* 1/2 (/ 1 eps))) (- 1 eps)))) (* 1/2 (/ 1 eps))))
(+ 1/2 (+ (* 1/2 (/ 1 eps)) (* x (- (* -1 (* x (+ (* -1 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2))) (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- 1 eps))))))
(+ 1/2 (+ (* 1/2 (/ 1 eps)) (* x (- (* x (- (* -1 (* x (+ (* -1 (* (+ (* -1 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2))) (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)))) (- 1 eps))) (+ (* -1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 3))) (* 1/6 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 3))))))) (+ (* -1 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2))) (* 1/2 (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)))))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (- 1 eps))))))
(/ (+ 1/2 (* 1/2 (/ 1 eps))) (exp (* x (- 1 eps))))
(/ (+ 1/2 (* 1/2 (/ 1 eps))) (exp (* x (- 1 eps))))
(/ (+ 1/2 (* 1/2 (/ 1 eps))) (exp (* x (- 1 eps))))
(/ (+ 1/2 (* 1/2 (/ 1 eps))) (exp (* x (- 1 eps))))
(/ (+ 1/2 (* 1/2 (/ 1 eps))) (exp (* x (- 1 eps))))
(/ (+ 1/2 (* 1/2 (/ 1 eps))) (exp (* x (- 1 eps))))
(/ (+ 1/2 (* 1/2 (/ 1 eps))) (exp (* x (- 1 eps))))
(/ (+ 1/2 (* 1/2 (/ 1 eps))) (exp (* x (- 1 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 (* 1/2 (/ 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)))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2))))
(* -1 x)
(+ (* -1 x) (* (pow eps 2) x))
(+ (* -1 x) (* (pow eps 2) x))
(+ (* -1 x) (* (pow eps 2) x))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))
(* x (+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))
(* x (+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))
(* x (+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))
(* (pow x 2) (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2))))
(* (pow x 2) (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))))
(* (pow x 2) (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))))
(* (pow x 2) (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))))
(* (pow x 2) (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2))))
(* (pow x 2) (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))))
(* (pow x 2) (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))))
(* (pow x 2) (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))))
(* -1 (pow x 2))
(+ (* -1 (pow x 2)) (* (pow eps 2) (pow x 2)))
(+ (* -1 (pow x 2)) (* (pow eps 2) (pow x 2)))
(+ (* -1 (pow x 2)) (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))
(* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))
(* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))
(* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))
(* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))
1
(+ 1 (* -1 (* x (+ 1 eps))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 x))
(+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x))))))
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))))))
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 x)
(+ (* -1 x) (* -1 (* eps x)))
(+ (* -1 x) (* -1 (* eps x)))
(+ (* -1 x) (* -1 (* eps x)))
(* -1 (* eps x))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* -1 (* eps x))
(* -1 (* eps (+ x (/ x eps))))
(* -1 (* eps (+ x (/ x eps))))
(* -1 (* eps (+ x (/ x eps))))
(exp x)
(+ (exp x) (* -1 (* eps (* x (exp x)))))
(+ (exp x) (* eps (+ (* -1 (* x (exp x))) (* 1/2 (* eps (* (pow x 2) (exp x)))))))
(+ (exp x) (* eps (+ (* -1 (* x (exp x))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp x)))) (* 1/2 (* (pow x 2) (exp x))))))))
(exp (* x (- 1 eps)))
(exp (* x (- 1 eps)))
(exp (* x (- 1 eps)))
(exp (* x (- 1 eps)))
(exp (* x (+ 1 (* -1 eps))))
(exp (* x (+ 1 (* -1 eps))))
(exp (* x (+ 1 (* -1 eps))))
(exp (* x (+ 1 (* -1 eps))))
1
(+ 1 (* x (- 1 eps)))
(+ 1 (* x (- (+ 1 (* 1/2 (* x (pow (- 1 eps) 2)))) eps)))
(+ 1 (* x (- (+ 1 (* x (+ (* 1/6 (* x (pow (- 1 eps) 3))) (* 1/2 (pow (- 1 eps) 2))))) eps)))
(exp (* x (- 1 eps)))
(exp (* x (- 1 eps)))
(exp (* x (- 1 eps)))
(exp (* x (- 1 eps)))
(exp (* x (- 1 eps)))
(exp (* x (- 1 eps)))
(exp (* x (- 1 eps)))
(exp (* x (- 1 eps)))
Outputs
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(+ (* -1 x) (* (pow eps 2) x))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 eps eps)))
(+ (* -1 x) (* (pow eps 2) x))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 eps eps)))
(+ (* -1 x) (* (pow eps 2) x))
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 eps eps)))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(*.f64 (*.f64 eps eps) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(*.f64 (*.f64 eps eps) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(*.f64 (*.f64 eps eps) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(*.f64 (*.f64 eps eps) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(*.f64 (*.f64 eps eps) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(*.f64 (*.f64 eps eps) (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))))
(+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))
(+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)))
(+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))
(+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 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 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))))))
(+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))
(+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 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 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))))))
(+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)))) (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))
(+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (*.f64 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 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2))))
(*.f64 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 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))))
(*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (+.f64 (/.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (+.f64 #s(literal -1 binary64) eps) x))))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))))
(*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)))) (+.f64 (/.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) x) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (+.f64 #s(literal -1 binary64) eps) x))))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)) (+ (/ (* (+ 1 eps) (- (/ 1 eps) 1)) x) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))))
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eval173.0ms (0.9%)

Memory
-3.5MiB live, 430.7MiB allocated
Compiler

Compiled 56 556 to 4 084 computations (92.8% saved)

prune251.0ms (1.3%)

Memory
6.4MiB live, 246.1MiB allocated
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New1 156121 168
Fresh101
Picked325
Done000
Total1 160141 174
Accuracy
100.0%
Counts
1 174 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.6%
(/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (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 (*.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))) (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 (+.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)) (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))))))))
▶76.6%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps eps)) (*.f64 x x))) #s(literal 2 binary64))
▶43.2%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal -1 binary64) eps)))))))) #s(literal 2 binary64))
▶79.8%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
▶80.0%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) #s(literal 2 binary64))
29.9%
(+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 1/6 binary64))))))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
34.9%
(+.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 x (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 eps #s(literal 1 binary64))) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
23.3%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 1/6 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)))))) (*.f64 #s(literal 1/12 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))))))))
37.3%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))))))
▶64.6%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64))))))))
65.5%
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))))
64.8%
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
✓42.9%
#s(literal 1 binary64)
✓14.1%
#s(literal 0 binary64)
Compiler

Compiled 1 060 to 500 computations (52.8% saved)

simplify581.0ms (3.1%)

Memory
-34.5MiB live, 508.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
✓cost-diff128
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
✓cost-diff128
(+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal -1 binary64) eps)))))
✓cost-diff256
(*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
✓cost-diff128
(*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
✓cost-diff128
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
✓cost-diff256
(*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
✓cost-diff512
(+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (/.f64 #s(literal 1 binary64) eps)))
✓cost-diff0
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))
✓cost-diff0
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64))))))
✓cost-diff0
(*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64))))))))
✓cost-diff0
(+.f64 #s(literal -1 binary64) (*.f64 eps eps))
✓cost-diff0
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps eps)) (*.f64 x x))
✓cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps eps)) (*.f64 x x)))
✓cost-diff0
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps eps)) (*.f64 x x))) #s(literal 2 binary64))
✓cost-diff0
(*.f64 x (*.f64 eps eps))
✓cost-diff0
(*.f64 x (*.f64 x (*.f64 eps eps)))
✓cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
✓cost-diff0
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) #s(literal 2 binary64))
Rules
17 124×accelerator-lowering-fma.f32
17 124×accelerator-lowering-fma.f64
3 526×*-lowering-*.f32
3 526×*-lowering-*.f64
3 156×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0591091
11931059
27471059
332461029
44650931
08029849
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ 2 (* x (* x (* eps eps)))) 2)
(+ 2 (* x (* x (* eps eps))))
2
(* x (* x (* eps eps)))
x
(* x (* eps eps))
(* eps eps)
eps
(/ (+ 2 (* (+ -1 (* eps eps)) (* x x))) 2)
(+ 2 (* (+ -1 (* eps eps)) (* x x)))
2
(* (+ -1 (* eps eps)) (* x x))
(+ -1 (* eps eps))
-1
(* eps eps)
eps
(* x x)
x
(+ 1 (* x (* (+ 1/2 (/ -1/2 eps)) (* (+ eps 1) (+ -1 (* (* x 1/2) (+ eps 1)))))))
1
(* x (* (+ 1/2 (/ -1/2 eps)) (* (+ eps 1) (+ -1 (* (* x 1/2) (+ eps 1))))))
x
(* (+ 1/2 (/ -1/2 eps)) (* (+ eps 1) (+ -1 (* (* x 1/2) (+ eps 1)))))
(+ 1/2 (/ -1/2 eps))
1/2
(/ -1/2 eps)
-1/2
eps
(* (+ eps 1) (+ -1 (* (* x 1/2) (+ eps 1))))
(+ eps 1)
(+ -1 (* (* x 1/2) (+ eps 1)))
-1
(* (* x 1/2) (+ eps 1))
(* x 1/2)
(/ (+ 2 (* x (+ (* (+ -1 eps) (+ 1 (/ 1 eps))) (+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (/ 1 eps))))) 2)
(+ 2 (* x (+ (* (+ -1 eps) (+ 1 (/ 1 eps))) (+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (/ 1 eps)))))
2
(* x (+ (* (+ -1 eps) (+ 1 (/ 1 eps))) (+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (/ 1 eps))))
x
(+ (* (+ -1 eps) (+ 1 (/ 1 eps))) (+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (/ 1 eps)))
(* (+ -1 eps) (+ 1 (/ 1 eps)))
(+ -1 eps)
-1
eps
(+ 1 (/ 1 eps))
1
(/ 1 eps)
(+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (/ 1 eps))
(* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps)))))
(+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))
(* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps)))
(* (- 1 eps) (- 1 eps))
(- 1 eps)
(+ 1/2 (/ 1/2 eps))
1/2
(/ 1/2 eps)
(* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps)))
(* -1/2 (+ -1 (/ 1 eps)))
-1/2
(+ -1 (/ 1 eps))
(* (+ 1 eps) (+ 1 eps))
(+ 1 eps)
(/ (+ 2 (* x (+ (* (+ -1 eps) (+ 1 (/ 1 eps))) (+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (/ (* (+ 1 (* eps (* eps eps))) (+ -1 (/ 1 eps))) (+ 1 (* eps (+ -1 eps)))))))) 2)
(+ 2 (* x (+ (* (+ -1 eps) (+ 1 (/ 1 eps))) (+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (/ (* (+ 1 (* eps (* eps eps))) (+ -1 (/ 1 eps))) (+ 1 (* eps (+ -1 eps))))))))
2
(* x (+ (* (+ -1 eps) (+ 1 (/ 1 eps))) (+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (/ (* (+ 1 (* eps (* eps eps))) (+ -1 (/ 1 eps))) (+ 1 (* eps (+ -1 eps)))))))
x
(+ (* (+ -1 eps) (+ 1 (/ 1 eps))) (+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (/ (* (+ 1 (* eps (* eps eps))) (+ -1 (/ 1 eps))) (+ 1 (* eps (+ -1 eps))))))
(* (+ -1 eps) (+ 1 (/ 1 eps)))
(+ -1 eps)
-1
eps
(+ 1 (/ 1 eps))
1
(/ 1 eps)
(+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (/ (* (+ 1 (* eps (* eps eps))) (+ -1 (/ 1 eps))) (+ 1 (* eps (+ -1 eps)))))
(* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps)))))
(+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))
(* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps)))
(* (- 1 eps) (- 1 eps))
(- 1 eps)
(+ 1/2 (/ 1/2 eps))
1/2
(/ 1/2 eps)
(* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps)))
(* -1/2 (+ -1 (/ 1 eps)))
-1/2
(+ -1 (/ 1 eps))
(* (+ 1 eps) (+ 1 eps))
(+ 1 eps)
(/ (* (+ 1 (* eps (* eps eps))) (+ -1 (/ 1 eps))) (+ 1 (* eps (+ -1 eps))))
(* (+ 1 (* eps (* eps eps))) (+ -1 (/ 1 eps)))
(+ 1 (* eps (* eps eps)))
(* eps (* eps eps))
(* eps eps)
(+ 1 (* eps (+ -1 eps)))
(* eps (+ -1 eps))
Outputs
(/ (+ 2 (* x (* x (* eps eps)))) 2)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) #s(literal 2 binary64))
(+ 2 (* x (* x (* eps eps))))
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
2
#s(literal 2 binary64)
(* x (* x (* eps eps)))
(*.f64 x (*.f64 x (*.f64 eps eps)))
x
(* x (* eps eps))
(*.f64 x (*.f64 eps eps))
(* eps eps)
(*.f64 eps eps)
eps
(/ (+ 2 (* (+ -1 (* eps eps)) (* x x))) 2)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (+.f64 (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 x x))) #s(literal 2 binary64))
(+ 2 (* (+ -1 (* eps eps)) (* x x)))
(+.f64 #s(literal 2 binary64) (*.f64 (+.f64 (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 x x)))
2
#s(literal 2 binary64)
(* (+ -1 (* eps eps)) (* x x))
(*.f64 (+.f64 (*.f64 eps eps) #s(literal -1 binary64)) (*.f64 x x))
(+ -1 (* eps eps))
(+.f64 (*.f64 eps eps) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(* eps eps)
(*.f64 eps eps)
eps
(* x x)
(*.f64 x x)
x
(+ 1 (* x (* (+ 1/2 (/ -1/2 eps)) (* (+ eps 1) (+ -1 (* (* x 1/2) (+ eps 1)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal 1 binary64)))))))))
1
#s(literal 1 binary64)
(* x (* (+ 1/2 (/ -1/2 eps)) (* (+ eps 1) (+ -1 (* (* x 1/2) (+ eps 1))))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal 1 binary64))))))))
x
(* (+ 1/2 (/ -1/2 eps)) (* (+ eps 1) (+ -1 (* (* x 1/2) (+ eps 1)))))
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal 1 binary64)))))))
(+ 1/2 (/ -1/2 eps))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))
1/2
#s(literal 1/2 binary64)
(/ -1/2 eps)
(/.f64 #s(literal -1/2 binary64) eps)
-1/2
#s(literal -1/2 binary64)
eps
(* (+ eps 1) (+ -1 (* (* x 1/2) (+ eps 1))))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal 1 binary64))))))
(+ eps 1)
(+.f64 eps #s(literal 1 binary64))
(+ -1 (* (* x 1/2) (+ eps 1)))
(+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal 1 binary64)))))
-1
#s(literal -1 binary64)
(* (* x 1/2) (+ eps 1))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal 1 binary64))))
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
(/ (+ 2 (* x (+ (* (+ -1 eps) (+ 1 (/ 1 eps))) (+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (/ 1 eps))))) 2)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1/2 binary64) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))))))))) #s(literal 2 binary64))
(+ 2 (* x (+ (* (+ -1 eps) (+ 1 (/ 1 eps))) (+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (/ 1 eps)))))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 eps (*.f64 x (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1/2 binary64) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))))))))
2
#s(literal 2 binary64)
(* x (+ (* (+ -1 eps) (+ 1 (/ 1 eps))) (+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (/ 1 eps))))
(*.f64 x (+.f64 eps (*.f64 x (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1/2 binary64) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))))))))
x
(+ (* (+ -1 eps) (+ 1 (/ 1 eps))) (+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (/ 1 eps)))
(+.f64 eps (*.f64 x (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1/2 binary64) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))))))
(* (+ -1 eps) (+ 1 (/ 1 eps)))
(+.f64 eps (/.f64 #s(literal -1 binary64) eps))
(+ -1 eps)
(+.f64 eps #s(literal -1 binary64))
-1
#s(literal -1 binary64)
eps
(+ 1 (/ 1 eps))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
1
#s(literal 1 binary64)
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (/ 1 eps))
(+.f64 (/.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1/2 binary64) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))))))
(* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps)))))
(*.f64 x (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1/2 binary64) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))))))
(+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1/2 binary64) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))))
(* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps)))
(*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1/2 binary64) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))
(* (- 1 eps) (- 1 eps))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))
(- 1 eps)
(-.f64 #s(literal 1 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)
(* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps)))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))))
(* -1/2 (+ -1 (/ 1 eps)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))
-1/2
#s(literal -1/2 binary64)
(+ -1 (/ 1 eps))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
(* (+ 1 eps) (+ 1 eps))
(+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 eps #s(literal -2 binary64))))
(+ 1 eps)
(+.f64 eps #s(literal 1 binary64))
(/ (+ 2 (* x (+ (* (+ -1 eps) (+ 1 (/ 1 eps))) (+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (/ (* (+ 1 (* eps (* eps eps))) (+ -1 (/ 1 eps))) (+ 1 (* eps (+ -1 eps)))))))) 2)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (+.f64 (+.f64 eps (/.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) (*.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/2 binary64)))))))))) #s(literal 2 binary64))
(+ 2 (* x (+ (* (+ -1 eps) (+ 1 (/ 1 eps))) (+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (/ (* (+ 1 (* eps (* eps eps))) (+ -1 (/ 1 eps))) (+ 1 (* eps (+ -1 eps))))))))
(+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (+.f64 (+.f64 eps (/.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) (*.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/2 binary64))))))))))
2
#s(literal 2 binary64)
(* x (+ (* (+ -1 eps) (+ 1 (/ 1 eps))) (+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (/ (* (+ 1 (* eps (* eps eps))) (+ -1 (/ 1 eps))) (+ 1 (* eps (+ -1 eps)))))))
(*.f64 x (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (+.f64 (+.f64 eps (/.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) (*.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/2 binary64)))))))))
x
(+ (* (+ -1 eps) (+ 1 (/ 1 eps))) (+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (/ (* (+ 1 (* eps (* eps eps))) (+ -1 (/ 1 eps))) (+ 1 (* eps (+ -1 eps))))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (+.f64 (+.f64 eps (/.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) (*.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/2 binary64))))))))
(* (+ -1 eps) (+ 1 (/ 1 eps)))
(+.f64 eps (/.f64 #s(literal -1 binary64) eps))
(+ -1 eps)
(+.f64 eps #s(literal -1 binary64))
-1
#s(literal -1 binary64)
eps
(+ 1 (/ 1 eps))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
1
#s(literal 1 binary64)
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (/ (* (+ 1 (* eps (* eps eps))) (+ -1 (/ 1 eps))) (+ 1 (* eps (+ -1 eps)))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))) (*.f64 (*.f64 x (+.f64 eps #s(literal 1 binary64))) (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/2 binary64)))))))
(* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps)))))
(*.f64 x (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1/2 binary64) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))))))
(+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1/2 binary64) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))))
(* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps)))
(*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1/2 binary64) (+.f64 eps (/.f64 #s(literal -1 binary64) eps))))
(* (- 1 eps) (- 1 eps))
(*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))
(- 1 eps)
(-.f64 #s(literal 1 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)
(* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps)))
(*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) (+.f64 eps (/.f64 #s(literal -1 binary64) eps)))))
(* -1/2 (+ -1 (/ 1 eps)))
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))
-1/2
#s(literal -1/2 binary64)
(+ -1 (/ 1 eps))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
(* (+ 1 eps) (+ 1 eps))
(+.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 eps #s(literal -2 binary64))))
(+ 1 eps)
(+.f64 eps #s(literal 1 binary64))
(/ (* (+ 1 (* eps (* eps eps))) (+ -1 (/ 1 eps))) (+ 1 (* eps (+ -1 eps))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))))
(* (+ 1 (* eps (* eps eps))) (+ -1 (/ 1 eps)))
(+.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) eps))))
(+ 1 (* eps (* eps eps)))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))
(* eps (* eps eps))
(*.f64 eps (*.f64 eps eps))
(* eps eps)
(*.f64 eps eps)
(+ 1 (* eps (+ -1 eps)))
(+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 eps #s(literal -1 binary64))))
(* eps (+ -1 eps))
(*.f64 eps (+.f64 eps #s(literal -1 binary64)))

localize433.0ms (2.3%)

Memory
14.1MiB live, 729.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy93.7%
(*.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))
✓accuracy62.5%
(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
✓accuracy56.8%
(+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal -1 binary64) eps))))))
✓accuracy56.0%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal -1 binary64) eps))))
✓accuracy95.6%
(*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (/.f64 #s(literal 1 binary64) eps))))
✓accuracy93.7%
(*.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)))))
✓accuracy69.9%
(+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (/.f64 #s(literal 1 binary64) eps)))
✓accuracy62.5%
(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))
✓accuracy100.0%
(*.f64 x #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 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64))))))
✓accuracy99.9%
(*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)))))
✓accuracy95.5%
(*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64)))))))
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) (*.f64 eps eps))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 eps eps)
✓accuracy84.7%
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps eps)) (*.f64 x x))
✓accuracy100.0%
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
✓accuracy100.0%
(*.f64 eps eps)
✓accuracy94.4%
(*.f64 x (*.f64 x (*.f64 eps eps)))
✓accuracy89.7%
(*.f64 x (*.f64 eps eps))
Samples
99.0ms105×1valid
56.0ms122×0valid
37.0ms29×2valid
Compiler

Compiled 1 115 to 61 computations (94.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 131.0ms
ival-mult: 56.0ms (42.9% of total)
ival-add: 36.0ms (27.6% of total)
ival-div: 23.0ms (17.6% of total)
adjust: 12.0ms (9.2% of total)
ival-sub: 2.0ms (1.5% of total)
exact: 1.0ms (0.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series46.0ms (0.2%)

Memory
20.1MiB live, 58.1MiB allocated
Counts
26 → 504
Calls
Call 1
Inputs
#<alt (/ (+ 2 (* x (* x (* eps eps)))) 2)>
#<alt (+ 2 (* x (* x (* eps eps))))>
#<alt (* x (* x (* eps eps)))>
#<alt (* x (* eps eps))>
#<alt (/ (+ 2 (* (+ -1 (* eps eps)) (* x x))) 2)>
#<alt (+ 2 (* (+ -1 (* eps eps)) (* x x)))>
#<alt (* (+ -1 (* eps eps)) (* x x))>
#<alt (+ -1 (* eps eps))>
#<alt (+ 1 (* x (* (+ 1/2 (/ -1/2 eps)) (* (+ eps 1) (+ -1 (* (* x 1/2) (+ eps 1)))))))>
#<alt (* x (* (+ 1/2 (/ -1/2 eps)) (* (+ eps 1) (+ -1 (* (* x 1/2) (+ eps 1))))))>
#<alt (* (+ 1/2 (/ -1/2 eps)) (* (+ eps 1) (+ -1 (* (* x 1/2) (+ eps 1)))))>
#<alt (+ 1/2 (/ -1/2 eps))>
#<alt (+ (* (+ -1 eps) (+ 1 (/ 1 eps))) (+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (/ 1 eps)))>
#<alt (* (+ -1 eps) (+ 1 (/ 1 eps)))>
#<alt (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps)))>
#<alt (* -1/2 (+ -1 (/ 1 eps)))>
#<alt (+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (/ (* (+ 1 (* eps (* eps eps))) (+ -1 (/ 1 eps))) (+ 1 (* eps (+ -1 eps)))))>
#<alt (* eps eps)>
#<alt (* x x)>
#<alt (* (+ eps 1) (+ -1 (* (* x 1/2) (+ eps 1))))>
#<alt (* x 1/2)>
#<alt (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))>
#<alt (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps)))))>
#<alt (* x (+ (* (+ -1 eps) (+ 1 (/ 1 eps))) (+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (/ 1 eps))))>
#<alt (/ (* (+ 1 (* eps (* eps eps))) (+ -1 (/ 1 eps))) (+ 1 (* eps (+ -1 eps))))>
#<alt (+ (* (+ -1 eps) (+ 1 (/ 1 eps))) (+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (/ (* (+ 1 (* eps (* eps eps))) (+ -1 (/ 1 eps))) (+ 1 (* eps (+ -1 eps))))))>
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 2>
#<alt (+ 2 (* (pow eps 2) (pow x 2)))>
#<alt (+ 2 (* (pow eps 2) (pow x 2)))>
#<alt (+ 2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))>
#<alt 2>
#<alt (+ 2 (* (pow eps 2) (pow x 2)))>
#<alt (+ 2 (* (pow eps 2) (pow x 2)))>
#<alt (+ 2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) x)>
#<alt (* 1/2 (+ 2 (* -1 (pow x 2))))>
#<alt (+ (* 1/2 (* (pow eps 2) (pow x 2))) (* 1/2 (+ 2 (* -1 (pow x 2)))))>
#<alt (+ (* 1/2 (* (pow eps 2) (pow x 2))) (* 1/2 (+ 2 (* -1 (pow x 2)))))>
#<alt (+ (* 1/2 (* (pow eps 2) (pow x 2))) (* 1/2 (+ 2 (* -1 (pow x 2)))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ (+ 2 (* -1 (pow x 2))) (pow eps 2))) (* 1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ (+ 2 (* -1 (pow x 2))) (pow eps 2))) (* 1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ (+ 2 (* -1 (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 (/ (+ 2 (* -1 (pow x 2))) (pow eps 2))) (* 1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ (+ 2 (* -1 (pow x 2))) (pow eps 2))) (* 1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ (+ 2 (* -1 (pow x 2))) (pow eps 2))) (* 1/2 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* (pow x 2) (- (pow eps 2) 1))))>
#<alt (+ 1 (* 1/2 (* (pow x 2) (- (pow eps 2) 1))))>
#<alt (+ 1 (* 1/2 (* (pow x 2) (- (pow eps 2) 1))))>
#<alt (* 1/2 (* (pow x 2) (- (pow eps 2) 1)))>
#<alt (* (pow x 2) (+ (* 1/2 (- (pow eps 2) 1)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (- (pow eps 2) 1)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (- (pow eps 2) 1)) (/ 1 (pow x 2))))>
#<alt (* 1/2 (* (pow x 2) (- (pow eps 2) 1)))>
#<alt (* (pow x 2) (+ (* 1/2 (- (pow eps 2) 1)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (- (pow eps 2) 1)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (- (pow eps 2) 1)) (/ 1 (pow x 2))))>
#<alt (+ 2 (* -1 (pow x 2)))>
#<alt (+ 2 (+ (* -1 (pow x 2)) (* (pow eps 2) (pow x 2))))>
#<alt (+ 2 (+ (* -1 (pow x 2)) (* (pow eps 2) (pow x 2))))>
#<alt (+ 2 (+ (* -1 (pow x 2)) (* (pow eps 2) (pow x 2))))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2))))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2))))>
#<alt 2>
#<alt (+ 2 (* (pow x 2) (- (pow eps 2) 1)))>
#<alt (+ 2 (* (pow x 2) (- (pow eps 2) 1)))>
#<alt (+ 2 (* (pow x 2) (- (pow eps 2) 1)))>
#<alt (* (pow x 2) (- (pow eps 2) 1))>
#<alt (* (pow x 2) (- (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)) 1))>
#<alt (* (pow x 2) (- (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)) 1))>
#<alt (* (pow x 2) (- (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)) 1))>
#<alt (* (pow x 2) (- (pow eps 2) 1))>
#<alt (* (pow x 2) (- (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)) 1))>
#<alt (* (pow x 2) (- (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)) 1))>
#<alt (* (pow x 2) (- (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)) 1))>
#<alt (* -1 (pow x 2))>
#<alt (+ (* -1 (pow x 2)) (* (pow eps 2) (pow x 2)))>
#<alt (+ (* -1 (pow x 2)) (* (pow eps 2) (pow x 2)))>
#<alt (+ (* -1 (pow x 2)) (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (pow x 2)))>
#<alt (* (pow x 2) (- (pow eps 2) 1))>
#<alt (* (pow x 2) (- (pow eps 2) 1))>
#<alt (* (pow x 2) (- (pow eps 2) 1))>
#<alt (* (pow x 2) (- (pow eps 2) 1))>
#<alt (* (pow x 2) (- (pow eps 2) 1))>
#<alt (* (pow x 2) (- (pow eps 2) 1))>
#<alt (* (pow x 2) (- (pow eps 2) 1))>
#<alt (* (pow x 2) (- (pow eps 2) 1))>
#<alt (* (pow x 2) (- (pow eps 2) 1))>
#<alt (* (pow x 2) (- (pow eps 2) 1))>
#<alt (* (pow x 2) (- (pow eps 2) 1))>
#<alt (* (pow x 2) (- (pow eps 2) 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>
#<alt (+ 1 (* -1 (* x (* (+ 1 eps) (- 1/2 (* 1/2 (/ 1 eps)))))))>
#<alt (+ 1 (* x (+ (* -1 (* (+ 1 eps) (- 1/2 (* 1/2 (/ 1 eps))))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- 1/2 (* 1/2 (/ 1 eps)))))))))>
#<alt (+ 1 (* x (+ (* -1 (* (+ 1 eps) (- 1/2 (* 1/2 (/ 1 eps))))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- 1/2 (* 1/2 (/ 1 eps)))))))))>
#<alt (* 1/2 (* (pow x 2) (* (pow (+ 1 eps) 2) (- 1/2 (* 1/2 (/ 1 eps))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (* (+ 1 eps) (- 1/2 (* 1/2 (/ 1 eps)))) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- 1/2 (* 1/2 (/ 1 eps)))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (* (+ 1 eps) (- 1/2 (* 1/2 (/ 1 eps)))) x)) (+ (* 1/2 (* (pow (+ 1 eps) 2) (- 1/2 (* 1/2 (/ 1 eps))))) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1 (/ (* (+ 1 eps) (- 1/2 (* 1/2 (/ 1 eps)))) x)) (+ (* 1/2 (* (pow (+ 1 eps) 2) (- 1/2 (* 1/2 (/ 1 eps))))) (/ 1 (pow x 2)))))>
#<alt (* 1/2 (* (pow x 2) (* (pow (+ 1 eps) 2) (- 1/2 (* 1/2 (/ 1 eps))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (* (+ 1 eps) (- 1/2 (* 1/2 (/ 1 eps)))) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- 1/2 (* 1/2 (/ 1 eps)))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* (+ 1 eps) (- 1/2 (* 1/2 (/ 1 eps)))) (/ 1 x)) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- 1/2 (* 1/2 (/ 1 eps)))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* (+ 1 eps) (- 1/2 (* 1/2 (/ 1 eps)))) (/ 1 x)) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- 1/2 (* 1/2 (/ 1 eps)))))))>
#<alt (* -1/2 (/ (* x (- (* 1/2 x) 1)) eps))>
#<alt (/ (+ (* -1/2 (* x (- (* 1/2 x) 1))) (* eps (+ 1 (* x (+ (* -1/2 (- (* 1/2 x) 1)) (+ (* -1/4 x) (* 1/2 (- (* 1/2 x) 1)))))))) eps)>
#<alt (/ (+ (* -1/2 (* x (- (* 1/2 x) 1))) (* eps (+ 1 (+ (* eps (* x (+ (* -1/4 x) (+ (* 1/4 x) (* 1/2 (- (* 1/2 x) 1)))))) (* x (+ (* -1/2 (- (* 1/2 x) 1)) (+ (* -1/4 x) (* 1/2 (- (* 1/2 x) 1))))))))) eps)>
#<alt (/ (+ (* -1/2 (* x (- (* 1/2 x) 1))) (* eps (+ 1 (+ (* eps (+ (* 1/4 (* eps (pow x 2))) (* x (+ (* -1/4 x) (+ (* 1/4 x) (* 1/2 (- (* 1/2 x) 1))))))) (* x (+ (* -1/2 (- (* 1/2 x) 1)) (+ (* -1/4 x) (* 1/2 (- (* 1/2 x) 1))))))))) eps)>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/4 (pow x 2)) (/ (* x (+ (* -1/4 x) (* 1/2 (- x 1)))) eps)))>
#<alt (* (pow eps 2) (+ (* 1/4 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (* x (+ (* -1/2 (- x 1)) (* 1/2 (- (* 1/2 x) 1)))) (pow eps 2)) (/ (* x (+ (* -1/4 x) (* 1/2 (- x 1)))) eps)))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (* x (- (* 1/2 x) 1)) (pow eps 3))) (+ (* 1/4 (pow x 2)) (+ (/ 1 (pow eps 2)) (+ (/ (* x (+ (* -1/2 (- x 1)) (* 1/2 (- (* 1/2 x) 1)))) (pow eps 2)) (/ (* x (+ (* -1/4 x) (* 1/2 (- x 1)))) eps))))))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (* x (+ (* 1/4 x) (* 1/2 (+ (* -1 (- (* 1/2 x) 1)) (* -1/2 x))))) eps)) (* 1/4 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* x (+ (* 1/2 (+ (* -1 (- (* 1/2 x) 1)) (* -1/2 x))) (* 1/2 (- (* 1/2 x) 1))))) eps)) (* x (+ (* 1/4 x) (* 1/2 (+ (* -1 (- (* 1/2 x) 1)) (* -1/2 x)))))) eps)) (* 1/4 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1/2 (/ (* x (- (* 1/2 x) 1)) eps)) (* x (+ (* 1/2 (+ (* -1 (- (* 1/2 x) 1)) (* -1/2 x))) (* 1/2 (- (* 1/2 x) 1)))))) eps)) (* x (+ (* 1/4 x) (* 1/2 (+ (* -1 (- (* 1/2 x) 1)) (* -1/2 x)))))) eps)) (* 1/4 (pow x 2))))>
#<alt (* -1 (* x (* (+ 1 eps) (- 1/2 (* 1/2 (/ 1 eps))))))>
#<alt (* x (+ (* -1 (* (+ 1 eps) (- 1/2 (* 1/2 (/ 1 eps))))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- 1/2 (* 1/2 (/ 1 eps))))))))>
#<alt (* x (+ (* -1 (* (+ 1 eps) (- 1/2 (* 1/2 (/ 1 eps))))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- 1/2 (* 1/2 (/ 1 eps))))))))>
#<alt (* x (+ (* -1 (* (+ 1 eps) (- 1/2 (* 1/2 (/ 1 eps))))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- 1/2 (* 1/2 (/ 1 eps))))))))>
#<alt (* 1/2 (* (pow x 2) (* (pow (+ 1 eps) 2) (- 1/2 (* 1/2 (/ 1 eps))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (* (+ 1 eps) (- 1/2 (* 1/2 (/ 1 eps)))) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- 1/2 (* 1/2 (/ 1 eps)))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (* (+ 1 eps) (- 1/2 (* 1/2 (/ 1 eps)))) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- 1/2 (* 1/2 (/ 1 eps)))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (* (+ 1 eps) (- 1/2 (* 1/2 (/ 1 eps)))) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- 1/2 (* 1/2 (/ 1 eps)))))))>
#<alt (* 1/2 (* (pow x 2) (* (pow (+ 1 eps) 2) (- 1/2 (* 1/2 (/ 1 eps))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (* (+ 1 eps) (- 1/2 (* 1/2 (/ 1 eps)))) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- 1/2 (* 1/2 (/ 1 eps)))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (* (+ 1 eps) (- 1/2 (* 1/2 (/ 1 eps)))) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- 1/2 (* 1/2 (/ 1 eps)))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (* (+ 1 eps) (- 1/2 (* 1/2 (/ 1 eps)))) x)) (* 1/2 (* (pow (+ 1 eps) 2) (- 1/2 (* 1/2 (/ 1 eps)))))))>
#<alt (* -1/2 (/ (* x (- (* 1/2 x) 1)) eps))>
#<alt (/ (+ (* -1/2 (* x (- (* 1/2 x) 1))) (* eps (* x (+ (* -1/2 (- (* 1/2 x) 1)) (+ (* -1/4 x) (* 1/2 (- (* 1/2 x) 1))))))) eps)>
#<alt (/ (+ (* -1/2 (* x (- (* 1/2 x) 1))) (* eps (+ (* eps (* x (+ (* -1/4 x) (+ (* 1/4 x) (* 1/2 (- (* 1/2 x) 1)))))) (* x (+ (* -1/2 (- (* 1/2 x) 1)) (+ (* -1/4 x) (* 1/2 (- (* 1/2 x) 1)))))))) eps)>
#<alt (/ (+ (* -1/2 (* x (- (* 1/2 x) 1))) (* eps (+ (* eps (+ (* 1/4 (* eps (pow x 2))) (* x (+ (* -1/4 x) (+ (* 1/4 x) (* 1/2 (- (* 1/2 x) 1))))))) (* x (+ (* -1/2 (- (* 1/2 x) 1)) (+ (* -1/4 x) (* 1/2 (- (* 1/2 x) 1)))))))) eps)>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/4 (pow x 2)) (/ (* x (+ (* -1/4 x) (* 1/2 (- x 1)))) eps)))>
#<alt (* (pow eps 2) (+ (* 1/4 (pow x 2)) (+ (/ (* x (+ (* -1/2 (- x 1)) (* 1/2 (- (* 1/2 x) 1)))) (pow eps 2)) (/ (* x (+ (* -1/4 x) (* 1/2 (- x 1)))) eps))))>
#<alt (* (pow eps 2) (+ (* -1/2 (/ (* x (- (* 1/2 x) 1)) (pow eps 3))) (+ (* 1/4 (pow x 2)) (+ (/ (* x (+ (* -1/2 (- x 1)) (* 1/2 (- (* 1/2 x) 1)))) (pow eps 2)) (/ (* x (+ (* -1/4 x) (* 1/2 (- x 1)))) eps)))))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (* x (+ (* 1/4 x) (* 1/2 (+ (* -1 (- (* 1/2 x) 1)) (* -1/2 x))))) eps)) (* 1/4 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (* x (+ (* 1/2 (+ (* -1 (- (* 1/2 x) 1)) (* -1/2 x))) (* 1/2 (- (* 1/2 x) 1)))) eps)) (* x (+ (* 1/4 x) (* 1/2 (+ (* -1 (- (* 1/2 x) 1)) (* -1/2 x)))))) eps)) (* 1/4 (pow x 2))))>
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#<alt (* (pow x 2) (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)) (+ (/ 1 (* eps x)) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))))>
#<alt (* (pow x 2) (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2))))>
#<alt (* (pow x 2) (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)) (+ (/ 1 (* eps x)) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))))>
#<alt (* (pow x 2) (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)) (+ (/ 1 (* eps x)) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))))>
#<alt (* (pow x 2) (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)) (+ (/ 1 (* eps x)) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))))>
#<alt (* -1 (pow x 2))>
#<alt (+ (* -1 (pow x 2)) (* eps x))>
#<alt (+ (* -1 (pow x 2)) (* eps (+ x (* eps (pow x 2)))))>
#<alt (+ (* -1 (pow x 2)) (* eps (+ x (* eps (pow x 2)))))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (+ (/ x eps) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (pow x 2))))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (+ (/ x eps) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 x) (/ (pow x 2) eps)) eps)) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 x) (/ (pow x 2) eps)) eps)) (pow x 2)))>
#<alt (/ 1 eps)>
#<alt (/ (+ 1 (* -1 (pow eps 2))) eps)>
#<alt (/ (+ 1 (* -1 (pow eps 2))) eps)>
#<alt (/ (+ 1 (* -1 (pow eps 2))) eps)>
#<alt (* -1 eps)>
#<alt (* eps (- (/ 1 (pow eps 2)) 1))>
#<alt (* eps (- (/ 1 (pow eps 2)) 1))>
#<alt (* eps (- (/ 1 (pow eps 2)) 1))>
#<alt (* -1 eps)>
#<alt (* -1 (* eps (- 1 (/ 1 (pow eps 2)))))>
#<alt (* -1 (* eps (- 1 (/ 1 (pow eps 2)))))>
#<alt (* -1 (* eps (- 1 (/ 1 (pow eps 2)))))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* (pow eps 2) x))>
#<alt (+ (* -1 x) (* (pow eps 2) x))>
#<alt (+ (* -1 x) (* (pow eps 2) x))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))>
#<alt (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (+ 1 (* eps (- eps 1)))))>
#<alt (+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)))) (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (+ 1 (* eps (- eps 1))))))>
#<alt (+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)))) (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (+ 1 (* eps (- eps 1))))))>
#<alt (+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)))) (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (+ 1 (* eps (- eps 1))))))>
#<alt (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2))))>
#<alt (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)) (+ (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (* x (+ 1 (* eps (- eps 1)))))))))>
#<alt (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)) (+ (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (* x (+ 1 (* eps (- eps 1)))))))))>
#<alt (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)) (+ (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (* x (+ 1 (* eps (- eps 1)))))))))>
#<alt (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2))))>
#<alt (* -1 (* x (+ (* -1 (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)))) (* -1 (/ (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (+ 1 (* eps (- eps 1))))) x)))))>
#<alt (* -1 (* x (+ (* -1 (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)))) (* -1 (/ (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (+ 1 (* eps (- eps 1))))) x)))))>
#<alt (* -1 (* x (+ (* -1 (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)))) (* -1 (/ (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (+ 1 (* eps (- eps 1))))) x)))))>
Calls

126 calls:

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

rewrite526.0ms (2.8%)

Memory
-25.3MiB live, 744.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 482×*-lowering-*.f32
4 482×*-lowering-*.f64
3 910×accelerator-lowering-fma.f32
3 910×accelerator-lowering-fma.f64
3 100×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054432
1419396
24625396
08552368
Stop Event
1×iter limit
1×node limit
Counts
26 → 645
Calls
Call 1
Inputs
(/ (+ 2 (* x (* x (* eps eps)))) 2)
(+ 2 (* x (* x (* eps eps))))
(* x (* x (* eps eps)))
(* x (* eps eps))
(/ (+ 2 (* (+ -1 (* eps eps)) (* x x))) 2)
(+ 2 (* (+ -1 (* eps eps)) (* x x)))
(* (+ -1 (* eps eps)) (* x x))
(+ -1 (* eps eps))
(+ 1 (* x (* (+ 1/2 (/ -1/2 eps)) (* (+ eps 1) (+ -1 (* (* x 1/2) (+ eps 1)))))))
(* x (* (+ 1/2 (/ -1/2 eps)) (* (+ eps 1) (+ -1 (* (* x 1/2) (+ eps 1))))))
(* (+ 1/2 (/ -1/2 eps)) (* (+ eps 1) (+ -1 (* (* x 1/2) (+ eps 1)))))
(+ 1/2 (/ -1/2 eps))
(+ (* (+ -1 eps) (+ 1 (/ 1 eps))) (+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (/ 1 eps)))
(* (+ -1 eps) (+ 1 (/ 1 eps)))
(* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps)))
(* -1/2 (+ -1 (/ 1 eps)))
(+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (/ (* (+ 1 (* eps (* eps eps))) (+ -1 (/ 1 eps))) (+ 1 (* eps (+ -1 eps)))))
(* eps eps)
(* x x)
(* (+ eps 1) (+ -1 (* (* x 1/2) (+ eps 1))))
(* x 1/2)
(+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))
(* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps)))))
(* x (+ (* (+ -1 eps) (+ 1 (/ 1 eps))) (+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (/ 1 eps))))
(/ (* (+ 1 (* eps (* eps eps))) (+ -1 (/ 1 eps))) (+ 1 (* eps (+ -1 eps))))
(+ (* (+ -1 eps) (+ 1 (/ 1 eps))) (+ (* x (+ (* (* (- 1 eps) (- 1 eps)) (+ 1/2 (/ 1/2 eps))) (* (* -1/2 (+ -1 (/ 1 eps))) (* (+ 1 eps) (+ 1 eps))))) (/ (* (+ 1 (* eps (* eps eps))) (+ -1 (/ 1 eps))) (+ 1 (* eps (+ -1 eps))))))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 eps eps))))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps))))))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (-.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps)))))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))
(/.f64 (neg.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 eps eps)))))) #s(literal 2 binary64))
(/.f64 (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps))))))) #s(literal 1/2 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (-.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps)))))) #s(literal 1/2 binary64)) (-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (*.f64 x (*.f64 x (*.f64 eps eps))))) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps)))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (-.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
(+.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps))))) (-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))
(fma.f64 x (*.f64 x (*.f64 eps eps)) #s(literal 2 binary64))
(fma.f64 (*.f64 eps eps) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 (*.f64 x (*.f64 eps eps)) x #s(literal 2 binary64))
(fma.f64 (*.f64 x x) (*.f64 eps eps) #s(literal 2 binary64))
(fma.f64 (*.f64 x eps) (*.f64 x eps) #s(literal 2 binary64))
(fma.f64 (*.f64 x (*.f64 x eps)) eps #s(literal 2 binary64))
(fma.f64 (*.f64 (*.f64 x x) eps) eps #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (-.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps))))))))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (-.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps))))))) (+.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps))))) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x (*.f64 eps eps))))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps)))))) (-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps)))))))) (neg.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (-.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps))))))) (neg.f64 (-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))
(/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps))))) #s(literal 4 binary64)) (-.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64)))
(pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (-.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps)))))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps))))))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (-.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))))))
(*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x eps)) #s(literal 2 binary64)))
(exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) (log.f64 eps)) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 eps))))
(pow.f64 (*.f64 x eps) #s(literal 2 binary64))
(*.f64 x (*.f64 x (*.f64 eps eps)))
(*.f64 (*.f64 eps eps) (*.f64 x x))
(*.f64 (*.f64 x (*.f64 eps eps)) x)
(*.f64 (*.f64 x x) (*.f64 eps eps))
(*.f64 (*.f64 x eps) (*.f64 x eps))
(*.f64 (*.f64 x (*.f64 x eps)) eps)
(*.f64 (*.f64 (*.f64 x x) eps) eps)
(*.f64 x (*.f64 eps eps))
(*.f64 eps (*.f64 x eps))
(*.f64 (*.f64 eps eps) x)
(*.f64 (*.f64 x eps) eps)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 eps eps) #s(literal -1 binary64))))))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 eps eps) #s(literal -1 binary64))))) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (+.f64 (*.f64 eps eps) #s(literal -1 binary64))))))))
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simplify563.0ms (3%)

Memory
14.2MiB live, 969.2MiB allocated
Algorithm
1×egg-herbie
Rules
13 194×accelerator-lowering-fma.f32
13 194×accelerator-lowering-fma.f64
6 364×*-lowering-*.f32
6 364×*-lowering-*.f64
3 780×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04917928
116147586
253807097
081986600
Stop Event
1×iter limit
1×node limit
Counts
504 → 504
Calls
Call 1
Inputs
1
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(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
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(* (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
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2
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2
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(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (* x (+ 1 (* eps (- eps 1))))))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2))))
(* -1 (* x (+ (* -1 (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)))) (* -1 (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (* x (+ 1 (* eps (- eps 1)))))))))
(* -1 (* x (+ (* -1 (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)))) (* -1 (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (* x (+ 1 (* eps (- eps 1)))))))))
(* -1 (* x (+ (* -1 (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)))) (* -1 (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (* x (+ 1 (* eps (- eps 1)))))))))
(/ 1 eps)
(/ (+ 1 (* -1 (* eps x))) eps)
(/ (+ 1 (* eps (+ (* -1 eps) (* -1 x)))) eps)
(/ (+ 1 (* eps (+ (* -1 x) (* eps (- (* eps x) 1))))) eps)
(* (pow eps 2) x)
(* (pow eps 2) (- x (/ 1 eps)))
(* (pow eps 2) (- (+ x (* -1 (/ x (pow eps 2)))) (/ 1 eps)))
(* (pow eps 2) (- (+ x (+ (* -1 (/ x (pow eps 2))) (/ 1 (pow eps 3)))) (/ 1 eps)))
(* (pow eps 2) x)
(* (pow eps 2) (- x (/ 1 eps)))
(* (pow eps 2) (+ x (* -1 (/ (+ 1 (/ x eps)) eps))))
(* (pow eps 2) (+ x (* -1 (/ (+ 1 (* -1 (/ (+ (* -1 x) (/ 1 eps)) eps))) eps))))
(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)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(- (* 1/2 x) 1)
(- (+ (* 1/2 x) (* eps (- x 1))) 1)
(- (+ (* 1/2 x) (* eps (- (+ x (* 1/2 (* eps x))) 1))) 1)
(- (+ (* 1/2 x) (* eps (- (+ x (* 1/2 (* eps x))) 1))) 1)
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (- (+ (* 1/2 x) (/ x eps)) (/ 1 eps)))
(* (pow eps 2) (- (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ x eps))) (+ (/ 1 eps) (/ 1 (pow eps 2)))))
(* (pow eps 2) (- (+ (* 1/2 x) (+ (* 1/2 (/ x (pow eps 2))) (/ x eps))) (+ (/ 1 eps) (/ 1 (pow eps 2)))))
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (- (* 1/2 x) 1)) (* -1/2 x)) eps)) (* 1/2 x)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (- (* 1/2 x) 1)) (+ (* -1 (/ (- (* 1/2 x) 1) eps)) (* -1/2 x))) eps)) (* 1/2 x)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (- (* 1/2 x) 1)) (+ (* -1 (/ (- (* 1/2 x) 1) eps)) (* -1/2 x))) eps)) (* 1/2 x)))
(* -1 (+ 1 eps))
(+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))
(+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))
(+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))
(* 1/2 (* x (pow (+ 1 eps) 2)))
(* x (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))
(* x (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))
(* x (+ (* -1 (/ (+ 1 eps) x)) (* 1/2 (pow (+ 1 eps) 2))))
(* 1/2 (* x (pow (+ 1 eps) 2)))
(* -1 (* x (+ (* -1/2 (pow (+ 1 eps) 2)) (+ (/ 1 x) (/ eps x)))))
(* -1 (* x (+ (* -1/2 (pow (+ 1 eps) 2)) (+ (/ 1 x) (/ eps x)))))
(* -1 (* x (+ (* -1/2 (pow (+ 1 eps) 2)) (+ (/ 1 x) (/ eps 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
(- (pow eps 2) 1)
(- (pow eps 2) 1)
(- (pow eps 2) 1)
(pow eps 2)
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(pow eps 2)
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(* (pow eps 2) (- 1 (/ 1 (pow eps 2))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2))))
(* -1 x)
(+ (* -1 x) (* (pow eps 2) x))
(+ (* -1 x) (* (pow eps 2) x))
(+ (* -1 x) (* (pow eps 2) x))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* x (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ 1 eps)))
(* x (+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)))) (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ 1 eps))))
(* x (+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)))) (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ 1 eps))))
(* x (+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)))) (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ 1 eps))))
(* (pow x 2) (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2))))
(* (pow x 2) (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)) (+ (/ 1 (* eps x)) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))))
(* (pow x 2) (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)) (+ (/ 1 (* eps x)) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))))
(* (pow x 2) (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)) (+ (/ 1 (* eps x)) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))))
(* (pow x 2) (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2))))
(* (pow x 2) (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)) (+ (/ 1 (* eps x)) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))))
(* (pow x 2) (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)) (+ (/ 1 (* eps x)) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))))
(* (pow x 2) (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)) (+ (/ 1 (* eps x)) (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x)))))
(* -1 (pow x 2))
(+ (* -1 (pow x 2)) (* eps x))
(+ (* -1 (pow x 2)) (* eps (+ x (* eps (pow x 2)))))
(+ (* -1 (pow x 2)) (* eps (+ x (* eps (pow x 2)))))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (+ (/ x eps) (pow x 2)))
(* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (pow x 2) (pow eps 2))) (+ (/ x eps) (pow x 2))))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (+ (/ x eps) (pow x 2)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 x) (/ (pow x 2) eps)) eps)) (pow x 2)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 x) (/ (pow x 2) eps)) eps)) (pow x 2)))
(/ 1 eps)
(/ (+ 1 (* -1 (pow eps 2))) eps)
(/ (+ 1 (* -1 (pow eps 2))) eps)
(/ (+ 1 (* -1 (pow eps 2))) eps)
(* -1 eps)
(* eps (- (/ 1 (pow eps 2)) 1))
(* eps (- (/ 1 (pow eps 2)) 1))
(* eps (- (/ 1 (pow eps 2)) 1))
(* -1 eps)
(* -1 (* eps (- 1 (/ 1 (pow eps 2)))))
(* -1 (* eps (- 1 (/ 1 (pow eps 2)))))
(* -1 (* eps (- 1 (/ 1 (pow eps 2)))))
(* -1 x)
(+ (* -1 x) (* (pow eps 2) x))
(+ (* -1 x) (* (pow eps 2) x))
(+ (* -1 x) (* (pow eps 2) x))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (* -1 (/ x (pow eps 2)))))
(+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (+ 1 (* eps (- eps 1)))))
(+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)))) (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (+ 1 (* eps (- eps 1))))))
(+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)))) (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (+ 1 (* eps (- eps 1))))))
(+ (* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)))) (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (+ 1 (* eps (- eps 1))))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)) (+ (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (* x (+ 1 (* eps (- eps 1)))))))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)) (+ (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (* x (+ 1 (* eps (- eps 1)))))))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)) (+ (/ (* (+ 1 (/ 1 eps)) (- eps 1)) x) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (* x (+ 1 (* eps (- eps 1)))))))))
(* x (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2))))
(* -1 (* x (+ (* -1 (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)))) (* -1 (/ (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (+ 1 (* eps (- eps 1))))) x)))))
(* -1 (* x (+ (* -1 (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)))) (* -1 (/ (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (+ 1 (* eps (- eps 1))))) x)))))
(* -1 (* x (+ (* -1 (+ (* -1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* (+ 1/2 (* 1/2 (/ 1 eps))) (pow (- 1 eps) 2)))) (* -1 (/ (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (/ (* (+ 1 (pow eps 3)) (- (/ 1 eps) 1)) (+ 1 (* eps (- eps 1))))) 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 eps (*.f64 eps (*.f64 x x)))))
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(* 1/2 (* (pow eps 2) (pow x 2)))
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(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps (*.f64 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 eps (*.f64 eps (*.f64 x x)))))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
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(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 eps (*.f64 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 eps (*.f64 eps (*.f64 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 eps (*.f64 eps (*.f64 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 eps (*.f64 eps (*.f64 x x)))))
1
#s(literal 1 binary64)
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(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
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(* 1/2 (* (pow eps 2) (pow x 2)))
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(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
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(* 1/2 (* (pow eps 2) (pow x 2)))
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(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
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2
#s(literal 2 binary64)
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(* (pow eps 2) (pow x 2))
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(* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))
(+.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 eps (*.f64 x x))))
(* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))
(+.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 eps (*.f64 x x))))
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(* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))
(+.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 eps (*.f64 x x))))
2
#s(literal 2 binary64)
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(* (pow eps 2) (pow x 2))
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(* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))
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(* (pow eps 2) (pow x 2))
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(* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))
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(* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))
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(* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))
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(* (pow eps 2) (pow x 2))
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(* (pow eps 2) (pow x 2))
(*.f64 eps (*.f64 eps (*.f64 x x)))
(* (pow eps 2) (pow x 2))
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(* (pow eps 2) (pow x 2))
(*.f64 eps (*.f64 eps (*.f64 x x)))
(* (pow eps 2) (pow x 2))
(*.f64 eps (*.f64 eps (*.f64 x x)))
(* (pow eps 2) (pow x 2))
(*.f64 eps (*.f64 eps (*.f64 x x)))
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eval336.0ms (1.8%)

Memory
18.7MiB live, 529.2MiB allocated
Compiler

Compiled 68 964 to 4 884 computations (92.9% saved)

prune210.0ms (1.1%)

Memory
-23.3MiB live, 465.2MiB allocated
Pruning

21 alts after pruning (18 fresh and 3 done)

PrunedKeptTotal
New1 400141 414
Fresh347
Picked415
Done022
Total1 407211 428
Accuracy
100.0%
Counts
1 428 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶40.7%
(/.f64 (/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps))))) #s(literal 4 binary64)) (-.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))) #s(literal 2 binary64))
▶39.8%
(/.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (-.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))))) #s(literal 2 binary64))
15.6%
(/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (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 (*.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))) (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 (+.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)) (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))))))))
48.4%
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (*.f64 eps eps)))) #s(literal 2 binary64))
37.1%
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (-.f64 (*.f64 eps eps) #s(literal -1 binary64)))))) #s(literal 2 binary64))
48.1%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (*.f64 x x))) #s(literal 2 binary64))
▶74.9%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x eps)) eps)) #s(literal 2 binary64))
76.6%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 eps eps))) #s(literal 2 binary64))
74.9%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps))) #s(literal 2 binary64))
44.6%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 eps x))) #s(literal 2 binary64))
78.8%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
78.8%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
77.7%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) eps) (*.f64 eps (*.f64 eps eps)))))) #s(literal 2 binary64))
✓80.0%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) #s(literal 2 binary64))
▶79.0%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps x))))) #s(literal 2 binary64))
▶35.6%
(/.f64 (*.f64 eps (*.f64 eps (*.f64 x x))) #s(literal 2 binary64))
29.9%
(+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 1/6 binary64))))))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
23.3%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 1/6 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)))))) (*.f64 #s(literal 1/12 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))))))))
65.5%
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))))
✓42.9%
#s(literal 1 binary64)
✓14.1%
#s(literal 0 binary64)
Compiler

Compiled 1 287 to 604 computations (53.1% saved)

simplify393.0ms (2.1%)

Memory
0.4MiB live, 917.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps))))))
✓cost-diff0
(+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps)))))))
✓cost-diff0
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (-.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64)))))
✓cost-diff0
(/.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (-.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))))) #s(literal 2 binary64))
✓cost-diff0
(*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps)))))
✓cost-diff0
(-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps))))) #s(literal 4 binary64))
✓cost-diff0
(/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps))))) #s(literal 4 binary64)) (-.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64)))
✓cost-diff0
(/.f64 (/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps))))) #s(literal 4 binary64)) (-.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))) #s(literal 2 binary64))
✓cost-diff0
(*.f64 x (*.f64 x eps))
✓cost-diff0
(*.f64 (*.f64 x (*.f64 x eps)) eps)
✓cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x eps)) eps))
✓cost-diff0
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x eps)) eps)) #s(literal 2 binary64))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 eps (*.f64 x x))
✓cost-diff0
(*.f64 eps (*.f64 eps (*.f64 x x)))
✓cost-diff0
(/.f64 (*.f64 eps (*.f64 eps (*.f64 x x))) #s(literal 2 binary64))
✓cost-diff0
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps x)))
✓cost-diff0
(*.f64 x (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps x))))
✓cost-diff0
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps x)))))
✓cost-diff0
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps x))))) #s(literal 2 binary64))
Rules
10 728×accelerator-lowering-fma.f32
10 728×accelerator-lowering-fma.f64
6 896×*-lowering-*.f32
6 896×*-lowering-*.f64
3 094×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036479
194423
2308423
31368357
42806337
54094337
66945337
08197316
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ 2 (* x (* eps (+ 1 (* eps x))))) 2)
(+ 2 (* x (* eps (+ 1 (* eps x)))))
2
(* x (* eps (+ 1 (* eps x))))
x
(* eps (+ 1 (* eps x)))
eps
(+ 1 (* eps x))
1
(* eps x)
(/ (* eps (* eps (* x x))) 2)
(* eps (* eps (* x x)))
eps
(* eps (* x x))
(* x x)
x
2
(/ (+ 2 (* (* x (* x eps)) eps)) 2)
(+ 2 (* (* x (* x eps)) eps))
2
(* (* x (* x eps)) eps)
(* x (* x eps))
x
(* x eps)
eps
(/ (/ (- (* x (* (* x (* eps eps)) (* x (* x (* eps eps))))) 4) (- (* x (* x (* eps eps))) 2)) 2)
(/ (- (* x (* (* x (* eps eps)) (* x (* x (* eps eps))))) 4) (- (* x (* x (* eps eps))) 2))
(- (* x (* (* x (* eps eps)) (* x (* x (* eps eps))))) 4)
(* x (* (* x (* eps eps)) (* x (* x (* eps eps)))))
x
(* (* x (* eps eps)) (* x (* x (* eps eps))))
(* x (* eps eps))
(* eps eps)
eps
(* x (* x (* eps eps)))
4
(- (* x (* x (* eps eps))) 2)
2
(/ (/ (+ 8 (* (* x (* x (* eps eps))) (* x (* (* x (* eps eps)) (* x (* x (* eps eps))))))) (+ 4 (* (* x (* x (* eps eps))) (- (* x (* x (* eps eps))) 2)))) 2)
(/ (+ 8 (* (* x (* x (* eps eps))) (* x (* (* x (* eps eps)) (* x (* x (* eps eps))))))) (+ 4 (* (* x (* x (* eps eps))) (- (* x (* x (* eps eps))) 2))))
(+ 8 (* (* x (* x (* eps eps))) (* x (* (* x (* eps eps)) (* x (* x (* eps eps)))))))
8
(* (* x (* x (* eps eps))) (* x (* (* x (* eps eps)) (* x (* x (* eps eps))))))
(* x (* x (* eps eps)))
x
(* x (* eps eps))
(* eps eps)
eps
(* x (* (* x (* eps eps)) (* x (* x (* eps eps)))))
(* (* x (* eps eps)) (* x (* x (* eps eps))))
(+ 4 (* (* x (* x (* eps eps))) (- (* x (* x (* eps eps))) 2)))
4
(* (* x (* x (* eps eps))) (- (* x (* x (* eps eps))) 2))
(- (* x (* x (* eps eps))) 2)
2
Outputs
(/ (+ 2 (* x (* eps (+ 1 (* eps x))))) 2)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x eps) (+.f64 #s(literal 1 binary64) (*.f64 x eps)))) #s(literal 2 binary64))
(+ 2 (* x (* eps (+ 1 (* eps x)))))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x eps) (+.f64 #s(literal 1 binary64) (*.f64 x eps))))
2
#s(literal 2 binary64)
(* x (* eps (+ 1 (* eps x))))
(*.f64 (*.f64 x eps) (+.f64 #s(literal 1 binary64) (*.f64 x eps)))
x
(* eps (+ 1 (* eps x)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps)))
eps
(+ 1 (* eps x))
(+.f64 #s(literal 1 binary64) (*.f64 x eps))
1
#s(literal 1 binary64)
(* eps x)
(*.f64 x eps)
(/ (* eps (* eps (* x x))) 2)
(*.f64 eps (/.f64 (*.f64 x (*.f64 x eps)) #s(literal 2 binary64)))
(* eps (* eps (* x x)))
(*.f64 eps (*.f64 x (*.f64 x eps)))
eps
(* eps (* x x))
(*.f64 x (*.f64 x eps))
(* x x)
(*.f64 x x)
x
2
#s(literal 2 binary64)
(/ (+ 2 (* (* x (* x eps)) eps)) 2)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps)))) #s(literal 2 binary64))
(+ 2 (* (* x (* x eps)) eps))
(+.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))))
2
#s(literal 2 binary64)
(* (* x (* x eps)) eps)
(*.f64 eps (*.f64 x (*.f64 x eps)))
(* x (* x eps))
(*.f64 x (*.f64 x eps))
x
(* x eps)
(*.f64 x eps)
eps
(/ (/ (- (* x (* (* x (* eps eps)) (* x (* x (* eps eps))))) 4) (- (* x (* x (* eps eps))) 2)) 2)
(/.f64 (+.f64 (*.f64 (*.f64 x eps) (*.f64 (*.f64 x eps) (*.f64 eps (*.f64 x (*.f64 x eps))))) #s(literal -4 binary64)) (+.f64 #s(literal -4 binary64) (*.f64 eps (*.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x eps))))))
(/ (- (* x (* (* x (* eps eps)) (* x (* x (* eps eps))))) 4) (- (* x (* x (* eps eps))) 2))
(/.f64 (+.f64 (*.f64 (*.f64 x eps) (*.f64 (*.f64 x eps) (*.f64 eps (*.f64 x (*.f64 x eps))))) #s(literal -4 binary64)) (+.f64 (*.f64 eps (*.f64 x (*.f64 x eps))) #s(literal -2 binary64)))
(- (* x (* (* x (* eps eps)) (* x (* x (* eps eps))))) 4)
(+.f64 (*.f64 (*.f64 x eps) (*.f64 (*.f64 x eps) (*.f64 eps (*.f64 x (*.f64 x eps))))) #s(literal -4 binary64))
(* x (* (* x (* eps eps)) (* x (* x (* eps eps)))))
(*.f64 (*.f64 x eps) (*.f64 (*.f64 x eps) (*.f64 eps (*.f64 x (*.f64 x eps)))))
x
(* (* x (* eps eps)) (* x (* x (* eps eps))))
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x eps))))
(* x (* eps eps))
(*.f64 x (*.f64 eps eps))
(* eps eps)
(*.f64 eps eps)
eps
(* x (* x (* eps eps)))
(*.f64 eps (*.f64 x (*.f64 x eps)))
4
#s(literal 4 binary64)
(- (* x (* x (* eps eps))) 2)
(+.f64 (*.f64 eps (*.f64 x (*.f64 x eps))) #s(literal -2 binary64))
2
#s(literal 2 binary64)
(/ (/ (+ 8 (* (* x (* x (* eps eps))) (* x (* (* x (* eps eps)) (* x (* x (* eps eps))))))) (+ 4 (* (* x (* x (* eps eps))) (- (* x (* x (* eps eps))) 2)))) 2)
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 x eps)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x eps))))))) (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x eps)) (*.f64 eps (+.f64 (*.f64 eps (*.f64 x (*.f64 x eps))) #s(literal -2 binary64)))))))
(/ (+ 8 (* (* x (* x (* eps eps))) (* x (* (* x (* eps eps)) (* x (* x (* eps eps))))))) (+ 4 (* (* x (* x (* eps eps))) (- (* x (* x (* eps eps))) 2))))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 x eps)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x eps))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x eps)) (*.f64 eps (+.f64 (*.f64 eps (*.f64 x (*.f64 x eps))) #s(literal -2 binary64))))))
(+ 8 (* (* x (* x (* eps eps))) (* x (* (* x (* eps eps)) (* x (* x (* eps eps)))))))
(+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 x eps)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x eps)))))))
8
#s(literal 8 binary64)
(* (* x (* x (* eps eps))) (* x (* (* x (* eps eps)) (* x (* x (* eps eps))))))
(*.f64 (*.f64 x eps) (*.f64 (*.f64 x (*.f64 x eps)) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x eps))))))
(* x (* x (* eps eps)))
(*.f64 eps (*.f64 x (*.f64 x eps)))
x
(* x (* eps eps))
(*.f64 x (*.f64 eps eps))
(* eps eps)
(*.f64 eps eps)
eps
(* x (* (* x (* eps eps)) (* x (* x (* eps eps)))))
(*.f64 (*.f64 x eps) (*.f64 (*.f64 x eps) (*.f64 eps (*.f64 x (*.f64 x eps)))))
(* (* x (* eps eps)) (* x (* x (* eps eps))))
(*.f64 (*.f64 eps eps) (*.f64 (*.f64 x eps) (*.f64 x (*.f64 x eps))))
(+ 4 (* (* x (* x (* eps eps))) (- (* x (* x (* eps eps))) 2)))
(+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x eps)) (*.f64 eps (+.f64 (*.f64 eps (*.f64 x (*.f64 x eps))) #s(literal -2 binary64)))))
4
#s(literal 4 binary64)
(* (* x (* x (* eps eps))) (- (* x (* x (* eps eps))) 2))
(*.f64 (*.f64 x (*.f64 x eps)) (*.f64 eps (+.f64 (*.f64 eps (*.f64 x (*.f64 x eps))) #s(literal -2 binary64))))
(- (* x (* x (* eps eps))) 2)
(+.f64 (*.f64 eps (*.f64 x (*.f64 x eps))) #s(literal -2 binary64))
2
#s(literal 2 binary64)

localize130.0ms (0.7%)

Memory
20.2MiB live, 287.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy95.5%
(*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps)))))
✓accuracy94.4%
(*.f64 x (*.f64 x (*.f64 eps eps)))
✓accuracy89.7%
(*.f64 x (*.f64 eps eps))
✓accuracy62.3%
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (-.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64)))))
✓accuracy95.5%
(*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps)))))
✓accuracy94.4%
(*.f64 x (*.f64 x (*.f64 eps eps)))
✓accuracy89.7%
(*.f64 x (*.f64 eps eps))
✓accuracy65.2%
(/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps))))) #s(literal 4 binary64)) (-.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64)))
✓accuracy100.0%
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x eps)) eps))
✓accuracy100.0%
(*.f64 x eps)
✓accuracy99.8%
(*.f64 x (*.f64 x eps))
✓accuracy94.2%
(*.f64 (*.f64 x (*.f64 x eps)) eps)
✓accuracy100.0%
(/.f64 (*.f64 eps (*.f64 eps (*.f64 x x))) #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy94.2%
(*.f64 eps (*.f64 eps (*.f64 x x)))
✓accuracy88.8%
(*.f64 eps (*.f64 x x))
✓accuracy100.0%
(*.f64 eps x)
✓accuracy100.0%
(+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps x)))))
✓accuracy99.9%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps x)))
✓accuracy95.6%
(*.f64 x (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps x))))
Samples
69.0ms256×0valid
Compiler

Compiled 481 to 38 computations (92.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 23.0ms (55.7% of total)
ival-div: 10.0ms (24.2% of total)
ival-add: 5.0ms (12.1% of total)
ival-sub: 2.0ms (4.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series98.0ms (0.5%)

Memory
-5.9MiB live, 86.5MiB allocated
Counts
24 → 564
Calls
Call 1
Inputs
#<alt (/ (+ 2 (* x (* eps (+ 1 (* eps x))))) 2)>
#<alt (+ 2 (* x (* eps (+ 1 (* eps x)))))>
#<alt (* x (* eps (+ 1 (* eps x))))>
#<alt (* eps (+ 1 (* eps x)))>
#<alt (/ (* eps (* eps (* x x))) 2)>
#<alt (* eps (* eps (* x x)))>
#<alt (* eps (* x x))>
#<alt (* x x)>
#<alt (/ (+ 2 (* (* x (* x eps)) eps)) 2)>
#<alt (+ 2 (* (* x (* x eps)) eps))>
#<alt (* (* x (* x eps)) eps)>
#<alt (* x (* x eps))>
#<alt (/ (/ (- (* x (* (* x (* eps eps)) (* x (* x (* eps eps))))) 4) (- (* x (* x (* eps eps))) 2)) 2)>
#<alt (/ (- (* x (* (* x (* eps eps)) (* x (* x (* eps eps))))) 4) (- (* x (* x (* eps eps))) 2))>
#<alt (- (* x (* (* x (* eps eps)) (* x (* x (* eps eps))))) 4)>
#<alt (* x (* (* x (* eps eps)) (* x (* x (* eps eps)))))>
#<alt (/ (/ (+ 8 (* (* x (* x (* eps eps))) (* x (* (* x (* eps eps)) (* x (* x (* eps eps))))))) (+ 4 (* (* x (* x (* eps eps))) (- (* x (* x (* eps eps))) 2)))) 2)>
#<alt (/ (+ 8 (* (* x (* x (* eps eps))) (* x (* (* x (* eps eps)) (* x (* x (* eps eps))))))) (+ 4 (* (* x (* x (* eps eps))) (- (* x (* x (* eps eps))) 2))))>
#<alt (+ 8 (* (* x (* x (* eps eps))) (* x (* (* x (* eps eps)) (* x (* x (* eps eps)))))))>
#<alt (* (* x (* x (* eps eps))) (* x (* (* x (* eps eps)) (* x (* x (* eps eps))))))>
#<alt (* eps x)>
#<alt (* x eps)>
#<alt (* x (* eps eps))>
#<alt (* x (* x (* eps eps)))>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (* eps x)))>
#<alt (+ 1 (* x (+ (* 1/2 eps) (* 1/2 (* (pow eps 2) x)))))>
#<alt (+ 1 (* x (+ (* 1/2 eps) (* 1/2 (* (pow eps 2) x)))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (/ eps x)) (* 1/2 (pow eps 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ eps x)) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ (* 1/2 (/ eps x)) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (/ eps x)) (* 1/2 (pow eps 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/2 eps) (/ 1 x)) x)) (* 1/2 (pow eps 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/2 eps) (/ 1 x)) x)) (* 1/2 (pow eps 2))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* eps x)))>
#<alt (+ 1 (* eps (+ (* 1/2 x) (* 1/2 (* eps (pow x 2))))))>
#<alt (+ 1 (* eps (+ (* 1/2 x) (* 1/2 (* eps (pow x 2))))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ x eps)) (* 1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ x eps)) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ x eps)) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/2 (/ x eps)) (* 1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 eps)) eps)) (* 1/2 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 eps)) eps)) (* 1/2 (pow x 2))))>
#<alt 2>
#<alt (+ 2 (* eps x))>
#<alt (+ 2 (* x (+ eps (* (pow eps 2) x))))>
#<alt (+ 2 (* x (+ eps (* (pow eps 2) x))))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow x 2) (+ (/ eps x) (pow eps 2)))>
#<alt (* (pow x 2) (+ (/ 2 (pow x 2)) (+ (/ eps x) (pow eps 2))))>
#<alt (* (pow x 2) (+ (/ 2 (pow x 2)) (+ (/ eps x) (pow eps 2))))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow x 2) (+ (/ eps x) (pow eps 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1 eps) (* 2 (/ 1 x))) x)) (pow eps 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1 eps) (* 2 (/ 1 x))) x)) (pow eps 2)))>
#<alt 2>
#<alt (+ 2 (* eps x))>
#<alt (+ 2 (* eps (+ x (* eps (pow x 2)))))>
#<alt (+ 2 (* eps (+ x (* eps (pow x 2)))))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (+ (/ x eps) (pow x 2)))>
#<alt (* (pow eps 2) (+ (/ 2 (pow eps 2)) (+ (/ x eps) (pow x 2))))>
#<alt (* (pow eps 2) (+ (/ 2 (pow eps 2)) (+ (/ x eps) (pow x 2))))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (+ (/ x eps) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (* -1 x) (* 2 (/ 1 eps))) eps)) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (- (* -1 x) (* 2 (/ 1 eps))) eps)) (pow x 2)))>
#<alt (* eps x)>
#<alt (* x (+ eps (* (pow eps 2) x)))>
#<alt (* x (+ eps (* (pow eps 2) x)))>
#<alt (* x (+ eps (* (pow eps 2) x)))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow x 2) (+ (/ eps x) (pow eps 2)))>
#<alt (* (pow x 2) (+ (/ eps x) (pow eps 2)))>
#<alt (* (pow x 2) (+ (/ eps x) (pow eps 2)))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow x 2) (+ (/ eps x) (pow eps 2)))>
#<alt (* (pow x 2) (+ (/ eps x) (pow eps 2)))>
#<alt (* (pow x 2) (+ (/ eps x) (pow eps 2)))>
#<alt (* eps x)>
#<alt (* eps (+ x (* eps (pow x 2))))>
#<alt (* eps (+ x (* eps (pow x 2))))>
#<alt (* eps (+ x (* eps (pow x 2))))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (+ (/ x eps) (pow x 2)))>
#<alt (* (pow eps 2) (+ (/ x eps) (pow x 2)))>
#<alt (* (pow eps 2) (+ (/ x eps) (pow x 2)))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (+ (/ x eps) (pow x 2)))>
#<alt (* (pow eps 2) (+ (/ x eps) (pow x 2)))>
#<alt (* (pow eps 2) (+ (/ x eps) (pow x 2)))>
#<alt eps>
#<alt (* eps (+ 1 (* eps x)))>
#<alt (* eps (+ 1 (* eps x)))>
#<alt (* eps (+ 1 (* eps x)))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (/ 1 eps)))>
#<alt (* (pow eps 2) (+ x (/ 1 eps)))>
#<alt (* (pow eps 2) (+ x (/ 1 eps)))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (/ 1 eps)))>
#<alt (* (pow eps 2) (+ x (/ 1 eps)))>
#<alt (* (pow eps 2) (+ x (/ 1 eps)))>
#<alt eps>
#<alt (+ eps (* (pow eps 2) x))>
#<alt (+ eps (* (pow eps 2) x))>
#<alt (+ eps (* (pow eps 2) x))>
#<alt (* (pow eps 2) x)>
#<alt (* x (+ (/ eps x) (pow eps 2)))>
#<alt (* x (+ (/ eps x) (pow eps 2)))>
#<alt (* x (+ (/ eps x) (pow eps 2)))>
#<alt (* (pow eps 2) x)>
#<alt (* -1 (* x (+ (* -1 (/ eps x)) (* -1 (pow eps 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ eps x)) (* -1 (pow eps 2)))))>
#<alt (* -1 (* x (+ (* -1 (/ eps x)) (* -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 (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (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 (* 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 2>
#<alt (+ 2 (* (pow eps 2) (pow x 2)))>
#<alt (+ 2 (* (pow eps 2) (pow x 2)))>
#<alt (+ 2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))>
#<alt 2>
#<alt (+ 2 (* (pow eps 2) (pow x 2)))>
#<alt (+ 2 (* (pow eps 2) (pow x 2)))>
#<alt (+ 2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (pow x 2))>
#<alt (* eps (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 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 2>
#<alt (+ 2 (* (pow eps 2) (pow x 2)))>
#<alt (+ 2 (* (pow eps 2) (pow x 2)))>
#<alt (+ 2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))>
#<alt 2>
#<alt (+ 2 (* (pow eps 2) (pow x 2)))>
#<alt (+ 2 (* (pow eps 2) (pow x 2)))>
#<alt (+ 2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))>
#<alt -4>
#<alt (- (* (pow eps 4) (pow x 4)) 4)>
#<alt (- (* (pow eps 4) (pow x 4)) 4)>
#<alt (- (* (pow eps 4) (pow x 4)) 4)>
#<alt (* (pow eps 4) (pow x 4))>
#<alt (* (pow x 4) (- (pow eps 4) (* 4 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- (pow eps 4) (* 4 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- (pow eps 4) (* 4 (/ 1 (pow x 4)))))>
#<alt (* (pow eps 4) (pow x 4))>
#<alt (* (pow x 4) (- (pow eps 4) (* 4 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- (pow eps 4) (* 4 (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (- (pow eps 4) (* 4 (/ 1 (pow x 4)))))>
#<alt -4>
#<alt (- (* (pow eps 4) (pow x 4)) 4)>
#<alt (- (* (pow eps 4) (pow x 4)) 4)>
#<alt (- (* (pow eps 4) (pow x 4)) 4)>
#<alt (* (pow eps 4) (pow x 4))>
#<alt (* (pow eps 4) (- (pow x 4) (* 4 (/ 1 (pow eps 4)))))>
#<alt (* (pow eps 4) (- (pow x 4) (* 4 (/ 1 (pow eps 4)))))>
#<alt (* (pow eps 4) (- (pow x 4) (* 4 (/ 1 (pow eps 4)))))>
#<alt (* (pow eps 4) (pow x 4))>
#<alt (* (pow eps 4) (- (pow x 4) (* 4 (/ 1 (pow eps 4)))))>
#<alt (* (pow eps 4) (- (pow x 4) (* 4 (/ 1 (pow eps 4)))))>
#<alt (* (pow eps 4) (- (pow x 4) (* 4 (/ 1 (pow eps 4)))))>
#<alt (* (pow eps 4) (pow x 4))>
#<alt (* (pow eps 4) (pow x 4))>
#<alt (* (pow eps 4) (pow x 4))>
#<alt (* (pow eps 4) (pow x 4))>
#<alt (* (pow eps 4) (pow x 4))>
#<alt (* (pow eps 4) (pow x 4))>
#<alt (* (pow eps 4) (pow x 4))>
#<alt (* (pow eps 4) (pow x 4))>
#<alt (* (pow eps 4) (pow x 4))>
#<alt (* (pow eps 4) (pow x 4))>
#<alt (* (pow eps 4) (pow x 4))>
#<alt (* (pow eps 4) (pow x 4))>
#<alt (* (pow eps 4) (pow x 4))>
#<alt (* (pow eps 4) (pow x 4))>
#<alt (* (pow eps 4) (pow x 4))>
#<alt (* (pow eps 4) (pow x 4))>
#<alt (* (pow eps 4) (pow x 4))>
#<alt (* (pow eps 4) (pow x 4))>
#<alt (* (pow eps 4) (pow x 4))>
#<alt (* (pow eps 4) (pow x 4))>
#<alt (* (pow eps 4) (pow x 4))>
#<alt (* (pow eps 4) (pow x 4))>
#<alt (* (pow eps 4) (pow x 4))>
#<alt (* (pow eps 4) (pow x 4))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow eps 4)) (* 1/2 (pow eps 4))))) (* 1/2 (pow eps 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* 1/2 (pow eps 2)) (* (pow x 2) (+ (* -1/2 (+ (* -1/2 (pow eps 4)) (* 1/2 (pow eps 4)))) (* -1/4 (* (pow eps 2) (* (pow x 2) (+ (* -1/2 (pow eps 4)) (* 1/2 (pow eps 4)))))))))))>
#<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 (* (pow eps 2) (+ (* -1/2 (* (pow eps 2) (+ (* -1/2 (pow x 4)) (* 1/2 (pow x 4))))) (* 1/2 (pow x 2)))))>
#<alt (+ 1 (* (pow eps 2) (+ (* 1/2 (pow x 2)) (* (pow eps 2) (+ (* -1/2 (+ (* -1/2 (pow x 4)) (* 1/2 (pow x 4)))) (* -1/4 (* (pow eps 2) (* (pow x 2) (+ (* -1/2 (pow x 4)) (* 1/2 (pow x 4)))))))))))>
#<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 2>
#<alt (+ 2 (* (pow eps 2) (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 (pow eps 4)) (* 1/2 (pow eps 4))))) (* -1 (pow eps 2)))))>
#<alt (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/2 (* (pow eps 2) (* (pow x 2) (+ (* -1/2 (pow eps 4)) (* 1/2 (pow eps 4)))))) (+ (* -1/2 (pow eps 4)) (* 1/2 (pow eps 4))))) (* -1 (pow eps 2)))))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))>
#<alt (* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))>
#<alt 2>
#<alt (+ 2 (* (pow eps 2) (pow x 2)))>
#<alt (+ 2 (* (pow eps 2) (- (* -1 (* (pow eps 2) (+ (* -1/2 (pow x 4)) (* 1/2 (pow x 4))))) (* -1 (pow x 2)))))>
#<alt (+ 2 (* (pow eps 2) (- (* (pow eps 2) (- (* -1/2 (* (pow eps 2) (* (pow x 2) (+ (* -1/2 (pow x 4)) (* 1/2 (pow x 4)))))) (+ (* -1/2 (pow x 4)) (* 1/2 (pow x 4))))) (* -1 (pow x 2)))))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))>
#<alt 8>
#<alt (+ 8 (* (pow eps 6) (pow x 6)))>
#<alt (+ 8 (* (pow eps 6) (pow x 6)))>
#<alt (+ 8 (* (pow eps 6) (pow x 6)))>
#<alt (* (pow eps 6) (pow x 6))>
#<alt (* (pow x 6) (+ (* 8 (/ 1 (pow x 6))) (pow eps 6)))>
#<alt (* (pow x 6) (+ (* 8 (/ 1 (pow x 6))) (pow eps 6)))>
#<alt (* (pow x 6) (+ (* 8 (/ 1 (pow x 6))) (pow eps 6)))>
#<alt (* (pow eps 6) (pow x 6))>
#<alt (* (pow x 6) (+ (* 8 (/ 1 (pow x 6))) (pow eps 6)))>
#<alt (* (pow x 6) (+ (* 8 (/ 1 (pow x 6))) (pow eps 6)))>
#<alt (* (pow x 6) (+ (* 8 (/ 1 (pow x 6))) (pow eps 6)))>
#<alt 8>
#<alt (+ 8 (* (pow eps 6) (pow x 6)))>
#<alt (+ 8 (* (pow eps 6) (pow x 6)))>
#<alt (+ 8 (* (pow eps 6) (pow x 6)))>
#<alt (* (pow eps 6) (pow x 6))>
#<alt (* (pow eps 6) (+ (* 8 (/ 1 (pow eps 6))) (pow x 6)))>
#<alt (* (pow eps 6) (+ (* 8 (/ 1 (pow eps 6))) (pow x 6)))>
#<alt (* (pow eps 6) (+ (* 8 (/ 1 (pow eps 6))) (pow x 6)))>
#<alt (* (pow eps 6) (pow x 6))>
#<alt (* (pow eps 6) (+ (* 8 (/ 1 (pow eps 6))) (pow x 6)))>
#<alt (* (pow eps 6) (+ (* 8 (/ 1 (pow eps 6))) (pow x 6)))>
#<alt (* (pow eps 6) (+ (* 8 (/ 1 (pow eps 6))) (pow x 6)))>
#<alt (* (pow eps 6) (pow x 6))>
#<alt (* (pow eps 6) (pow x 6))>
#<alt (* (pow eps 6) (pow x 6))>
#<alt (* (pow eps 6) (pow x 6))>
#<alt (* (pow eps 6) (pow x 6))>
#<alt (* (pow eps 6) (pow x 6))>
#<alt (* (pow eps 6) (pow x 6))>
#<alt (* (pow eps 6) (pow x 6))>
#<alt (* (pow eps 6) (pow x 6))>
#<alt (* (pow eps 6) (pow x 6))>
#<alt (* (pow eps 6) (pow x 6))>
#<alt (* (pow eps 6) (pow x 6))>
#<alt (* (pow eps 6) (pow x 6))>
#<alt (* (pow eps 6) (pow x 6))>
#<alt (* (pow eps 6) (pow x 6))>
#<alt (* (pow eps 6) (pow x 6))>
#<alt (* (pow eps 6) (pow x 6))>
#<alt (* (pow eps 6) (pow x 6))>
#<alt (* (pow eps 6) (pow x 6))>
#<alt (* (pow eps 6) (pow x 6))>
#<alt (* (pow eps 6) (pow x 6))>
#<alt (* (pow eps 6) (pow x 6))>
#<alt (* (pow eps 6) (pow x 6))>
#<alt (* (pow eps 6) (pow x 6))>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* (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) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
#<alt (* (pow eps 2) (pow x 2))>
Calls

141 calls:

TimeVariablePointExpression
37.0ms
eps
@-inf
(* eps (* x x))
23.0ms
eps
@inf
(/ (/ (- (* x (* (* x (* eps eps)) (* x (* x (* eps eps))))) 4) (- (* x (* x (* eps eps))) 2)) 2)
10.0ms
eps
@inf
(* eps (* x x))
2.0ms
x
@inf
(/ (/ (+ 8 (* (* x (* x (* eps eps))) (* x (* (* x (* eps eps)) (* x (* x (* eps eps))))))) (+ 4 (* (* x (* x (* eps eps))) (- (* x (* x (* eps eps))) 2)))) 2)
2.0ms
eps
@inf
(/ (/ (+ 8 (* (* x (* x (* eps eps))) (* x (* (* x (* eps eps)) (* x (* x (* eps eps))))))) (+ 4 (* (* x (* x (* eps eps))) (- (* x (* x (* eps eps))) 2)))) 2)

rewrite612.0ms (3.2%)

Memory
6.3MiB live, 1 034.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 854×accelerator-lowering-fma.f32
6 854×accelerator-lowering-fma.f64
5 738×/-lowering-/.f32
5 738×/-lowering-/.f64
4 908×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036234
1228166
21750158
08491152
Stop Event
1×iter limit
1×node limit
Counts
24 → 1 473
Calls
Call 1
Inputs
(/ (+ 2 (* x (* eps (+ 1 (* eps x))))) 2)
(+ 2 (* x (* eps (+ 1 (* eps x)))))
(* x (* eps (+ 1 (* eps x))))
(* eps (+ 1 (* eps x)))
(/ (* eps (* eps (* x x))) 2)
(* eps (* eps (* x x)))
(* eps (* x x))
(* x x)
(/ (+ 2 (* (* x (* x eps)) eps)) 2)
(+ 2 (* (* x (* x eps)) eps))
(* (* x (* x eps)) eps)
(* x (* x eps))
(/ (/ (- (* x (* (* x (* eps eps)) (* x (* x (* eps eps))))) 4) (- (* x (* x (* eps eps))) 2)) 2)
(/ (- (* x (* (* x (* eps eps)) (* x (* x (* eps eps))))) 4) (- (* x (* x (* eps eps))) 2))
(- (* x (* (* x (* eps eps)) (* x (* x (* eps eps))))) 4)
(* x (* (* x (* eps eps)) (* x (* x (* eps eps)))))
(/ (/ (+ 8 (* (* x (* x (* eps eps))) (* x (* (* x (* eps eps)) (* x (* x (* eps eps))))))) (+ 4 (* (* x (* x (* eps eps))) (- (* x (* x (* eps eps))) 2)))) 2)
(/ (+ 8 (* (* x (* x (* eps eps))) (* x (* (* x (* eps eps)) (* x (* x (* eps eps))))))) (+ 4 (* (* x (* x (* eps eps))) (- (* x (* x (* eps eps))) 2))))
(+ 8 (* (* x (* x (* eps eps))) (* x (* (* x (* eps eps)) (* x (* x (* eps eps)))))))
(* (* x (* x (* eps eps))) (* x (* (* x (* eps eps)) (* x (* x (* eps eps))))))
(* eps x)
(* x eps)
(* x (* eps eps))
(* x (* x (* eps eps)))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps))))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps))))) #s(literal -2 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps)))))) #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 x (*.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps))) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps)))))) (-.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps)))))) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps))))))) (/.f64 (*.f64 x (*.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps))) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps)))))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps))))))))
(neg.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps))))) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps)))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps)))) #s(literal 2 binary64))))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps)))) (*.f64 x (*.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps))) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps))))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps)))))) (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps))) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps)))) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps)))) (*.f64 x (*.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps))) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps)))))))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps))))) (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps))) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps))))))) #s(literal 1/2 binary64))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal -2 binary64) (neg.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps)))))) #s(literal -2 binary64))
(/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps)))) (*.f64 x (*.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps))) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps)))))))) (*.f64 #s(literal 2 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps)))) (-.f64 (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps)))) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x (*.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps))) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps))))))) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps)))))))
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simplify324.0ms (1.7%)

Memory
1.1MiB live, 557.9MiB allocated
Algorithm
1×egg-herbie
Rules
7 316×accelerator-lowering-fma.f32
7 316×accelerator-lowering-fma.f64
3 760×*-lowering-*.f32
3 760×*-lowering-*.f64
1 708×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01924256
16584232
222254196
085453976
Stop Event
1×iter limit
1×node limit
Counts
564 → 564
Calls
Call 1
Inputs
1
(+ 1 (* 1/2 (* eps x)))
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(+ 1 (* x (+ (* 1/2 eps) (* 1/2 (* (pow eps 2) x)))))
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(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
2
(+ 2 (* (pow eps 2) (pow x 2)))
(+ 2 (* (pow eps 2) (pow x 2)))
(+ 2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (pow x 2))
(* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))
(* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))
(* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))
(* (pow eps 2) (pow x 2))
(* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))
(* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))
(* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))
2
(+ 2 (* (pow eps 2) (pow x 2)))
(+ 2 (* (pow eps 2) (pow x 2)))
(+ 2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))
(* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))
(* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))
(* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))
(* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (pow x 2))
(* eps (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 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))))
2
(+ 2 (* (pow eps 2) (pow x 2)))
(+ 2 (* (pow eps 2) (pow x 2)))
(+ 2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (pow x 2))
(* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))
(* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))
(* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))
(* (pow eps 2) (pow x 2))
(* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))
(* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))
(* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))
2
(+ 2 (* (pow eps 2) (pow x 2)))
(+ 2 (* (pow eps 2) (pow x 2)))
(+ 2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))
(* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))
(* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))
(* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))
(* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))
-4
(- (* (pow eps 4) (pow x 4)) 4)
(- (* (pow eps 4) (pow x 4)) 4)
(- (* (pow eps 4) (pow x 4)) 4)
(* (pow eps 4) (pow x 4))
(* (pow x 4) (- (pow eps 4) (* 4 (/ 1 (pow x 4)))))
(* (pow x 4) (- (pow eps 4) (* 4 (/ 1 (pow x 4)))))
(* (pow x 4) (- (pow eps 4) (* 4 (/ 1 (pow x 4)))))
(* (pow eps 4) (pow x 4))
(* (pow x 4) (- (pow eps 4) (* 4 (/ 1 (pow x 4)))))
(* (pow x 4) (- (pow eps 4) (* 4 (/ 1 (pow x 4)))))
(* (pow x 4) (- (pow eps 4) (* 4 (/ 1 (pow x 4)))))
-4
(- (* (pow eps 4) (pow x 4)) 4)
(- (* (pow eps 4) (pow x 4)) 4)
(- (* (pow eps 4) (pow x 4)) 4)
(* (pow eps 4) (pow x 4))
(* (pow eps 4) (- (pow x 4) (* 4 (/ 1 (pow eps 4)))))
(* (pow eps 4) (- (pow x 4) (* 4 (/ 1 (pow eps 4)))))
(* (pow eps 4) (- (pow x 4) (* 4 (/ 1 (pow eps 4)))))
(* (pow eps 4) (pow x 4))
(* (pow eps 4) (- (pow x 4) (* 4 (/ 1 (pow eps 4)))))
(* (pow eps 4) (- (pow x 4) (* 4 (/ 1 (pow eps 4)))))
(* (pow eps 4) (- (pow x 4) (* 4 (/ 1 (pow eps 4)))))
(* (pow eps 4) (pow x 4))
(* (pow eps 4) (pow x 4))
(* (pow eps 4) (pow x 4))
(* (pow eps 4) (pow x 4))
(* (pow eps 4) (pow x 4))
(* (pow eps 4) (pow x 4))
(* (pow eps 4) (pow x 4))
(* (pow eps 4) (pow x 4))
(* (pow eps 4) (pow x 4))
(* (pow eps 4) (pow x 4))
(* (pow eps 4) (pow x 4))
(* (pow eps 4) (pow x 4))
(* (pow eps 4) (pow x 4))
(* (pow eps 4) (pow x 4))
(* (pow eps 4) (pow x 4))
(* (pow eps 4) (pow x 4))
(* (pow eps 4) (pow x 4))
(* (pow eps 4) (pow x 4))
(* (pow eps 4) (pow x 4))
(* (pow eps 4) (pow x 4))
(* (pow eps 4) (pow x 4))
(* (pow eps 4) (pow x 4))
(* (pow eps 4) (pow x 4))
(* (pow eps 4) (pow x 4))
1
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+ 1 (* (pow x 2) (+ (* -1/2 (* (pow x 2) (+ (* -1/2 (pow eps 4)) (* 1/2 (pow eps 4))))) (* 1/2 (pow eps 2)))))
(+ 1 (* (pow x 2) (+ (* 1/2 (pow eps 2)) (* (pow x 2) (+ (* -1/2 (+ (* -1/2 (pow eps 4)) (* 1/2 (pow eps 4)))) (* -1/4 (* (pow eps 2) (* (pow x 2) (+ (* -1/2 (pow eps 4)) (* 1/2 (pow eps 4)))))))))))
(* 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 (* (pow eps 2) (+ (* -1/2 (* (pow eps 2) (+ (* -1/2 (pow x 4)) (* 1/2 (pow x 4))))) (* 1/2 (pow x 2)))))
(+ 1 (* (pow eps 2) (+ (* 1/2 (pow x 2)) (* (pow eps 2) (+ (* -1/2 (+ (* -1/2 (pow x 4)) (* 1/2 (pow x 4)))) (* -1/4 (* (pow eps 2) (* (pow x 2) (+ (* -1/2 (pow x 4)) (* 1/2 (pow x 4)))))))))))
(* 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))))
2
(+ 2 (* (pow eps 2) (pow x 2)))
(+ 2 (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/2 (pow eps 4)) (* 1/2 (pow eps 4))))) (* -1 (pow eps 2)))))
(+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/2 (* (pow eps 2) (* (pow x 2) (+ (* -1/2 (pow eps 4)) (* 1/2 (pow eps 4)))))) (+ (* -1/2 (pow eps 4)) (* 1/2 (pow eps 4))))) (* -1 (pow eps 2)))))
(* (pow eps 2) (pow x 2))
(* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))
(* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))
(* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))
(* (pow eps 2) (pow x 2))
(* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))
(* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))
(* (pow x 2) (+ (* 2 (/ 1 (pow x 2))) (pow eps 2)))
2
(+ 2 (* (pow eps 2) (pow x 2)))
(+ 2 (* (pow eps 2) (- (* -1 (* (pow eps 2) (+ (* -1/2 (pow x 4)) (* 1/2 (pow x 4))))) (* -1 (pow x 2)))))
(+ 2 (* (pow eps 2) (- (* (pow eps 2) (- (* -1/2 (* (pow eps 2) (* (pow x 2) (+ (* -1/2 (pow x 4)) (* 1/2 (pow x 4)))))) (+ (* -1/2 (pow x 4)) (* 1/2 (pow x 4))))) (* -1 (pow x 2)))))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))
(* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))
(* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))
(* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))
(* (pow eps 2) (+ (* 2 (/ 1 (pow eps 2))) (pow x 2)))
8
(+ 8 (* (pow eps 6) (pow x 6)))
(+ 8 (* (pow eps 6) (pow x 6)))
(+ 8 (* (pow eps 6) (pow x 6)))
(* (pow eps 6) (pow x 6))
(* (pow x 6) (+ (* 8 (/ 1 (pow x 6))) (pow eps 6)))
(* (pow x 6) (+ (* 8 (/ 1 (pow x 6))) (pow eps 6)))
(* (pow x 6) (+ (* 8 (/ 1 (pow x 6))) (pow eps 6)))
(* (pow eps 6) (pow x 6))
(* (pow x 6) (+ (* 8 (/ 1 (pow x 6))) (pow eps 6)))
(* (pow x 6) (+ (* 8 (/ 1 (pow x 6))) (pow eps 6)))
(* (pow x 6) (+ (* 8 (/ 1 (pow x 6))) (pow eps 6)))
8
(+ 8 (* (pow eps 6) (pow x 6)))
(+ 8 (* (pow eps 6) (pow x 6)))
(+ 8 (* (pow eps 6) (pow x 6)))
(* (pow eps 6) (pow x 6))
(* (pow eps 6) (+ (* 8 (/ 1 (pow eps 6))) (pow x 6)))
(* (pow eps 6) (+ (* 8 (/ 1 (pow eps 6))) (pow x 6)))
(* (pow eps 6) (+ (* 8 (/ 1 (pow eps 6))) (pow x 6)))
(* (pow eps 6) (pow x 6))
(* (pow eps 6) (+ (* 8 (/ 1 (pow eps 6))) (pow x 6)))
(* (pow eps 6) (+ (* 8 (/ 1 (pow eps 6))) (pow x 6)))
(* (pow eps 6) (+ (* 8 (/ 1 (pow eps 6))) (pow x 6)))
(* (pow eps 6) (pow x 6))
(* (pow eps 6) (pow x 6))
(* (pow eps 6) (pow x 6))
(* (pow eps 6) (pow x 6))
(* (pow eps 6) (pow x 6))
(* (pow eps 6) (pow x 6))
(* (pow eps 6) (pow x 6))
(* (pow eps 6) (pow x 6))
(* (pow eps 6) (pow x 6))
(* (pow eps 6) (pow x 6))
(* (pow eps 6) (pow x 6))
(* (pow eps 6) (pow x 6))
(* (pow eps 6) (pow x 6))
(* (pow eps 6) (pow x 6))
(* (pow eps 6) (pow x 6))
(* (pow eps 6) (pow x 6))
(* (pow eps 6) (pow x 6))
(* (pow eps 6) (pow x 6))
(* (pow eps 6) (pow x 6))
(* (pow eps 6) (pow x 6))
(* (pow eps 6) (pow x 6))
(* (pow eps 6) (pow x 6))
(* (pow eps 6) (pow x 6))
(* (pow eps 6) (pow x 6))
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) x)
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
(* (pow eps 2) (pow x 2))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps x)))
(+ 1 (* x (+ (* 1/2 eps) (* 1/2 (* (pow eps 2) x)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps x)) x))))
(+ 1 (* x (+ (* 1/2 eps) (* 1/2 (* (pow eps 2) x)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps x)) x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))))
(* (pow x 2) (+ (* 1/2 (/ eps x)) (* 1/2 (pow eps 2))))
(*.f64 (*.f64 x x) (*.f64 eps (+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) eps))))
(* (pow x 2) (+ (* 1/2 (/ eps x)) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 eps (+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) eps)))))
(* (pow x 2) (+ (* 1/2 (/ eps x)) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 eps (+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) eps)))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))))
(* (pow x 2) (+ (* 1/2 (/ eps x)) (* 1/2 (pow eps 2))))
(*.f64 (*.f64 x x) (*.f64 eps (+.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) eps))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 eps) (/ 1 x)) x)) (* 1/2 (pow eps 2))))
(*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (/.f64 (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x)))
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 eps) (/ 1 x)) x)) (* 1/2 (pow eps 2))))
(*.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (/.f64 (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) x)))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps x)))
(+ 1 (* eps (+ (* 1/2 x) (* 1/2 (* eps (pow x 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps x)) x))))
(+ 1 (* eps (+ (* 1/2 x) (* 1/2 (* eps (pow x 2))))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps x)) x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))))
(* (pow eps 2) (+ (* 1/2 (/ x eps)) (* 1/2 (pow x 2))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps x)) x)))
(* (pow eps 2) (+ (* 1/2 (/ x eps)) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps x)) x))))
(* (pow eps 2) (+ (* 1/2 (/ x eps)) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps x)) x))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps))))
(* (pow eps 2) (+ (* 1/2 (/ x eps)) (* 1/2 (pow x 2))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps x)) x)))
(* (pow eps 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 eps)) eps)) (* 1/2 (pow x 2))))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) eps)) eps))))
(* (pow eps 2) (+ (* -1 (/ (- (* -1/2 x) (/ 1 eps)) eps)) (* 1/2 (pow x 2))))
(*.f64 eps (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) eps)) eps))))
2
#s(literal 2 binary64)
(+ 2 (* eps x))
(+.f64 (*.f64 eps x) #s(literal 2 binary64))
(+ 2 (* x (+ eps (* (pow eps 2) x))))
(+.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps x)) x)))
(+ 2 (* x (+ eps (* (pow eps 2) x))))
(+.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps x)) x)))
(* (pow eps 2) (pow x 2))
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(* (pow eps 2) (pow x 2))
(*.f64 x (*.f64 x (*.f64 eps eps)))
(* (pow eps 2) (pow x 2))
(*.f64 x (*.f64 x (*.f64 eps eps)))
(* (pow eps 2) (pow x 2))
(*.f64 x (*.f64 x (*.f64 eps eps)))
(* (pow eps 2) (pow x 2))
(*.f64 x (*.f64 x (*.f64 eps eps)))
(* (pow eps 2) (pow x 2))
(*.f64 x (*.f64 x (*.f64 eps eps)))
(* (pow eps 2) (pow x 2))
(*.f64 x (*.f64 x (*.f64 eps eps)))
(* (pow eps 2) (pow x 2))
(*.f64 x (*.f64 x (*.f64 eps eps)))
(* (pow eps 2) (pow x 2))
(*.f64 x (*.f64 x (*.f64 eps eps)))
(* (pow eps 2) (pow x 2))
(*.f64 x (*.f64 x (*.f64 eps eps)))
(* (pow eps 2) (pow x 2))
(*.f64 x (*.f64 x (*.f64 eps eps)))
(* (pow eps 2) (pow x 2))
(*.f64 x (*.f64 x (*.f64 eps eps)))

eval503.0ms (2.7%)

Memory
6.9MiB live, 744.7MiB allocated
Compiler

Compiled 123 276 to 3 194 computations (97.4% saved)

prune311.0ms (1.7%)

Memory
11.6MiB live, 508.9MiB allocated
Pruning

29 alts after pruning (23 fresh and 6 done)

PrunedKeptTotal
New2 450152 465
Fresh5813
Picked145
Done123
Total2 457292 486
Accuracy
100.0%
Counts
2 486 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.4%
(/.f64 (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x eps) (*.f64 x eps)))))) #s(literal -16 binary64)) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x eps) (*.f64 x eps)))) #s(literal -4 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))) #s(literal 2 binary64))
49.3%
(/.f64 (/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps))))) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x eps)) eps) #s(literal 2 binary64))) #s(literal 2 binary64))
45.0%
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps)))))) (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps))))) (*.f64 x (*.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps))) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps)))))))) (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps))))) (-.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps))))))) #s(literal 2 binary64))
✓39.8%
(/.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (-.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))))) #s(literal 2 binary64))
3.9%
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))) #s(literal 2 binary64))
15.6%
(/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))) (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 (*.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))) (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 (+.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)) (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))))))))
51.6%
(/.f64 (+.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64))
37.1%
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (-.f64 (*.f64 eps eps) #s(literal -1 binary64)))))) #s(literal 2 binary64))
59.8%
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 x eps) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x eps)))) #s(literal 2 binary64))
59.8%
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x eps)) (*.f64 (*.f64 x eps) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps))))))) #s(literal 2 binary64))
65.6%
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 x eps))) #s(literal 2 binary64))
✓74.9%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x eps)) eps)) #s(literal 2 binary64))
43.6%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x eps) (*.f64 x eps)))) (-.f64 eps (*.f64 x (*.f64 eps eps)))))) #s(literal 2 binary64))
78.8%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
78.8%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
77.7%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) eps) (*.f64 eps (*.f64 eps eps)))))) #s(literal 2 binary64))
✓79.0%
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps x))))) #s(literal 2 binary64))
35.8%
(/.f64 (*.f64 (*.f64 x (*.f64 x eps)) eps) #s(literal 2 binary64))
48.8%
(/.f64 (*.f64 (*.f64 x (*.f64 eps eps)) x) #s(literal 2 binary64))
41.2%
(/.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) #s(literal 2 binary64))
35.9%
(/.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 2 binary64))
35.3%
(/.f64 (*.f64 eps (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps x)) x)) #s(literal 2 binary64))
✓35.6%
(/.f64 (*.f64 eps (*.f64 eps (*.f64 x x))) #s(literal 2 binary64))
74.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps)))))
29.9%
(+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 1/6 binary64))))))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
23.3%
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 1/6 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)))))) (*.f64 #s(literal 1/12 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))))))))
65.5%
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))))
✓42.9%
#s(literal 1 binary64)
✓14.1%
#s(literal 0 binary64)
Compiler

Compiled 2 347 to 734 computations (68.7% saved)

regimes65.0ms (0.3%)

Memory
-27.6MiB live, 130.8MiB allocated
Counts
49 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(/.f64 (+.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (*.f64 eps (*.f64 x x))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x (*.f64 eps eps)) x) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x (*.f64 x eps)) eps) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 eps x))) #s(literal 2 binary64))
(/.f64 (*.f64 eps (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps x)) x)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 eps eps))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x eps)) eps)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps)))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps x))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps eps)) (*.f64 x x))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))))))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 x eps))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) eps) (*.f64 eps (*.f64 eps eps)))))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64))))))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 x eps) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (*.f64 eps eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (*.f64 x x))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x eps)) (*.f64 (*.f64 x eps) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps))))))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x eps) (*.f64 x eps)))) (-.f64 eps (*.f64 x (*.f64 eps eps)))))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps))))) #s(literal 4 binary64)) (-.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps))))) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x eps)) eps) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (-.f64 (*.f64 eps eps) #s(literal -1 binary64)))))) #s(literal 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 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 eps #s(literal 1 binary64))) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (-.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))))) #s(literal 2 binary64))
(/.f64 (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x eps) (*.f64 x eps)))))) #s(literal -16 binary64)) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x eps) (*.f64 x eps)))) #s(literal -4 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))) #s(literal 2 binary64))
(+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 1/6 binary64))))))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal -1 binary64) eps)))))))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps)))))) (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps))))) (*.f64 x (*.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps))) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps)))))))) (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps))))) (-.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps))))))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 1/6 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)))))) (*.f64 #s(literal 1/12 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))))))))
(+.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 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1/2 binary64)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1/2 binary64)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (*.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 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (+.f64 (/.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)))) (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 (*.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))) (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 (+.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)) (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps))))))))
(/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (+.f64 #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)))) (exp.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x) #s(literal 3 binary64)))) (*.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 (*.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))) (exp.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))))))
Outputs
(+.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 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1/2 binary64)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
Calls

4 calls:

15.0ms
eps
14.0ms
x
12.0ms
(/.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))
11.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
99.6%3x
88.5%2eps
88.5%2(/.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))
88.5%2(-.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)

regimes23.0ms (0.1%)

Memory
0.0MiB live, 39.7MiB allocated
Counts
45 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(/.f64 (+.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (*.f64 eps (*.f64 x x))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x (*.f64 eps eps)) x) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x (*.f64 x eps)) eps) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 eps x))) #s(literal 2 binary64))
(/.f64 (*.f64 eps (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps x)) x)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 eps eps))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x eps)) eps)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps)))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps x))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps eps)) (*.f64 x x))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))))))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 x eps))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) eps) (*.f64 eps (*.f64 eps eps)))))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64))))))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 x eps) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (*.f64 eps eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (*.f64 x x))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x eps)) (*.f64 (*.f64 x eps) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps))))))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x eps) (*.f64 x eps)))) (-.f64 eps (*.f64 x (*.f64 eps eps)))))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps))))) #s(literal 4 binary64)) (-.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps))))) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x eps)) eps) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (-.f64 (*.f64 eps eps) #s(literal -1 binary64)))))) #s(literal 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 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 eps #s(literal 1 binary64))) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (-.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))))) #s(literal 2 binary64))
(/.f64 (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x eps) (*.f64 x eps)))))) #s(literal -16 binary64)) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x eps) (*.f64 x eps)))) #s(literal -4 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))) #s(literal 2 binary64))
(+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 1/6 binary64))))))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal -1 binary64) eps)))))))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps)))))) (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps))))) (*.f64 x (*.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps))) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps)))))))) (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps))))) (-.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps))))))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 1/6 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)))))) (*.f64 #s(literal 1/12 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))))))))
(+.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 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))))
(+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1/2 binary64)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
Outputs
(+.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 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))))
(/.f64 (*.f64 (*.f64 x (*.f64 eps eps)) x) #s(literal 2 binary64))
Calls

1 calls:

13.0ms
x
Results
AccuracySegmentsBranch
93.1%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes33.0ms (0.2%)

Memory
-0.6MiB live, 38.9MiB allocated
Counts
42 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(/.f64 (+.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (*.f64 eps (*.f64 x x))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x (*.f64 eps eps)) x) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x (*.f64 x eps)) eps) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 eps x))) #s(literal 2 binary64))
(/.f64 (*.f64 eps (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps x)) x)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 eps eps))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x eps)) eps)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps)))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps x))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps eps)) (*.f64 x x))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))))))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 x eps))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) eps) (*.f64 eps (*.f64 eps eps)))))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64))))))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 x eps) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (*.f64 eps eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (*.f64 x x))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x eps)) (*.f64 (*.f64 x eps) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps))))))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x eps) (*.f64 x eps)))) (-.f64 eps (*.f64 x (*.f64 eps eps)))))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps))))) #s(literal 4 binary64)) (-.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps))))) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x eps)) eps) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (-.f64 (*.f64 eps eps) #s(literal -1 binary64)))))) #s(literal 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 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 eps #s(literal 1 binary64))) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (-.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))))) #s(literal 2 binary64))
(/.f64 (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x eps) (*.f64 x eps)))))) #s(literal -16 binary64)) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x eps) (*.f64 x eps)))) #s(literal -4 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))) #s(literal 2 binary64))
(+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 1/6 binary64))))))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal -1 binary64) eps)))))))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps)))))) (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps))))) (*.f64 x (*.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps))) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps)))))))) (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps))))) (-.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps))))))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 1/6 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)))))) (*.f64 #s(literal 1/12 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))))))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Outputs
(+.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 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x (*.f64 eps eps)) x) #s(literal 2 binary64))
Calls

1 calls:

12.0ms
x
Results
AccuracySegmentsBranch
90.2%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes30.0ms (0.2%)

Memory
30.5MiB live, 68.6MiB allocated
Counts
41 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(/.f64 (+.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (*.f64 eps (*.f64 x x))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x (*.f64 eps eps)) x) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x (*.f64 x eps)) eps) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 eps x))) #s(literal 2 binary64))
(/.f64 (*.f64 eps (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps x)) x)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 eps eps))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x eps)) eps)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps)))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps x))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps eps)) (*.f64 x x))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))))))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 x eps))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) eps) (*.f64 eps (*.f64 eps eps)))))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64))))))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 x eps) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (*.f64 eps eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (*.f64 x x))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x eps)) (*.f64 (*.f64 x eps) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps))))))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x eps) (*.f64 x eps)))) (-.f64 eps (*.f64 x (*.f64 eps eps)))))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps))))) #s(literal 4 binary64)) (-.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps))))) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x eps)) eps) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (-.f64 (*.f64 eps eps) #s(literal -1 binary64)))))) #s(literal 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 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 eps #s(literal 1 binary64))) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (-.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))))) #s(literal 2 binary64))
(/.f64 (/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x eps) (*.f64 x eps)))))) #s(literal -16 binary64)) (-.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x eps) (*.f64 x eps)))) #s(literal -4 binary64))) (-.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))) #s(literal 2 binary64))
(+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))) (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 1/6 binary64))))))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 #s(literal -1 binary64) eps)))))))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps)))))) (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps))))) (*.f64 x (*.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x eps))) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps)))))))) (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps))))) (-.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x eps))))))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) #s(literal 1/6 binary64)) (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)))))) (*.f64 #s(literal 1/12 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))))))))
Outputs
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) eps) (*.f64 eps (*.f64 eps eps)))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x (*.f64 eps eps)) x) #s(literal 2 binary64))
Calls

2 calls:

13.0ms
eps
12.0ms
x
Results
AccuracySegmentsBranch
80.0%1eps
89.0%4x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory
-13.4MiB live, 29.7MiB allocated
Counts
34 → 4
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(/.f64 (+.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (*.f64 eps (*.f64 x x))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x (*.f64 eps eps)) x) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x (*.f64 x eps)) eps) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 eps x))) #s(literal 2 binary64))
(/.f64 (*.f64 eps (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps x)) x)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 eps eps))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x eps)) eps)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps)))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps x))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps eps)) (*.f64 x x))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))))))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 x eps))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) eps) (*.f64 eps (*.f64 eps eps)))))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 eps #s(literal 1 binary64))))))))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (*.f64 x eps) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps)))) (-.f64 #s(literal 1 binary64) (*.f64 x eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (*.f64 eps eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 eps eps)) (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps)))))) (*.f64 x x))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x eps)) (*.f64 (*.f64 x eps) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps))))))) #s(literal 2 binary64))
(/.f64 (/.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 eps eps)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (/.f64 (-.f64 (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 (*.f64 x eps) (*.f64 x eps)))) (-.f64 eps (*.f64 x (*.f64 eps eps)))))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps))))) #s(literal 4 binary64)) (-.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps))))) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x eps)) eps) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))))) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (-.f64 (*.f64 eps eps) #s(literal -1 binary64)))))) #s(literal 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 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (+.f64 (*.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 eps #s(literal 1 binary64))) #s(literal 1/2 binary64))))))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps)) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64))
(/.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (*.f64 x (*.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x (*.f64 x (*.f64 eps eps))))))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) (-.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))))) #s(literal 2 binary64))
Outputs
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) eps) (*.f64 eps (*.f64 eps eps)))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x (*.f64 eps eps)) x) #s(literal 2 binary64))
Calls

1 calls:

13.0ms
x
Results
AccuracySegmentsBranch
89.0%4x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0%)

Memory
-22.1MiB live, 16.8MiB allocated
Counts
19 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(/.f64 (+.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (*.f64 eps (*.f64 x x))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x (*.f64 eps eps)) x) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x (*.f64 x eps)) eps) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 eps x))) #s(literal 2 binary64))
(/.f64 (*.f64 eps (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps x)) x)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) (*.f64 eps eps))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x (*.f64 x eps)) eps)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps)))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps x))))) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 eps eps)) (*.f64 x x))) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps)) (+.f64 #s(literal -1/2 binary64) (*.f64 eps #s(literal 1/2 binary64))))))
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) (*.f64 x eps))) #s(literal 2 binary64))
Outputs
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x (*.f64 eps eps)) x) #s(literal 2 binary64))
Calls

1 calls:

6.0ms
x
Results
AccuracySegmentsBranch
85.7%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0%)

Memory
21.6MiB live, 21.6MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(/.f64 (+.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (*.f64 eps (*.f64 x x))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x (*.f64 eps eps)) x) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x (*.f64 x eps)) eps) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (-.f64 eps x))) #s(literal 2 binary64))
(/.f64 (*.f64 eps (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 eps x)) x)) #s(literal 2 binary64))
Outputs
(/.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) #s(literal 2 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 (*.f64 x (*.f64 eps eps)) x) #s(literal 2 binary64))
Calls

2 calls:

4.0ms
eps
4.0ms
x
Results
AccuracySegmentsBranch
73.2%2eps
77.0%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

Memory
14.7MiB live, 14.7MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(/.f64 (+.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (*.f64 eps (*.f64 x x))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) #s(literal 2 binary64))
Outputs
(/.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) #s(literal 2 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) #s(literal 2 binary64))
Calls

2 calls:

3.0ms
eps
3.0ms
x
Results
AccuracySegmentsBranch
70.0%2eps
72.7%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0%)

Memory
-22.7MiB live, 14.9MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(/.f64 (+.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (*.f64 eps (*.f64 x x))) #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 2 binary64))
Outputs
(/.f64 (*.f64 eps (*.f64 eps (*.f64 x x))) #s(literal 2 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 2 binary64))
Calls

2 calls:

4.0ms
x
3.0ms
eps
Results
AccuracySegmentsBranch
65.6%2eps
70.6%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory
7.5MiB live, 7.5MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(/.f64 (+.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 eps (*.f64 eps (*.f64 x x))) #s(literal 2 binary64))
Outputs
(/.f64 (*.f64 eps (*.f64 eps (*.f64 x x))) #s(literal 2 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 eps (*.f64 eps (*.f64 x x))) #s(literal 2 binary64))
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
70.6%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory
12.0MiB live, 12.0MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(/.f64 (+.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64))
Outputs
#s(literal 1 binary64)
#s(literal 0 binary64)
(/.f64 (+.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64))
Calls

2 calls:

2.0ms
eps
2.0ms
x
Results
AccuracySegmentsBranch
51.6%1eps
56.8%3x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Memory
5.7MiB live, 5.7MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
Outputs
#s(literal 1 binary64)
#s(literal 0 binary64)
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
54.4%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory
-30.8MiB live, 8.6MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 0 binary64)
Outputs
#s(literal 0 binary64)
Calls

2 calls:

2.0ms
x
1.0ms
eps
Results
AccuracySegmentsBranch
14.1%1eps
14.1%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch59.0ms (0.3%)

Memory
13.8MiB live, 132.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
29.0ms
1.0670926496395034e-13
7.19620256287846e-10
23.0ms
-5.206600955579403e-227
-9.401244590490483e-228
Samples
28.0ms84×1valid
16.0ms140×0valid
Compiler

Compiled 518 to 368 computations (29% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 10.0ms (27.7% of total)
ival-exp: 8.0ms (22.2% of total)
ival-sub: 6.0ms (16.6% of total)
ival-div: 4.0ms (11.1% of total)
ival-neg: 3.0ms (8.3% of total)
ival-add: 3.0ms (8.3% of total)
adjust: 2.0ms (5.5% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch52.0ms (0.3%)

Memory
-18.6MiB live, 100.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
24.0ms
2.0603701044011177e+56
2.529458333220358e+66
21.0ms
-5.206600955579403e-227
-9.401244590490483e-228
Samples
25.0ms218×0valid
11.0ms38×1valid
Compiler

Compiled 440 to 324 computations (26.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-sub: 7.0ms (23.9% of total)
ival-mult: 6.0ms (20.4% of total)
ival-exp: 5.0ms (17% of total)
ival-div: 4.0ms (13.6% of total)
ival-add: 3.0ms (10.2% of total)
ival-neg: 2.0ms (6.8% of total)
adjust: 1.0ms (3.4% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch103.0ms (0.5%)

Memory
7.2MiB live, 163.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
39.0ms
7.19620256287846e-10
30965262566.30617
29.0ms
6.525565733308252e-257
1.0586827012123445e-254
Samples
35.0ms106×1valid
22.0ms182×0valid
Compiler

Compiled 1 229 to 704 computations (42.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-exp: 14.0ms (28.9% of total)
ival-mult: 10.0ms (20.6% of total)
ival-div: 8.0ms (16.5% of total)
ival-sub: 5.0ms (10.3% of total)
ival-add: 5.0ms (10.3% of total)
adjust: 3.0ms (6.2% of total)
ival-neg: 3.0ms (6.2% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch131.0ms (0.7%)

Memory
21.4MiB live, 222.0MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
37.0ms
7.19620256287846e-10
30965262566.30617
34.0ms
6.525565733308252e-257
1.0586827012123445e-254
47.0ms
-2.0573604921529982e-203
-2.9298329082483548e-208
Samples
59.0ms178×1valid
43.0ms254×0valid
Compiler

Compiled 1 542 to 879 computations (43% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-mult: 28.0ms (32.2% of total)
ival-exp: 24.0ms (27.6% of total)
ival-div: 9.0ms (10.3% of total)
ival-sub: 8.0ms (9.2% of total)
ival-neg: 6.0ms (6.9% of total)
ival-add: 6.0ms (6.9% of total)
adjust: 4.0ms (4.6% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch110.0ms (0.6%)

Memory
-4.7MiB live, 230.8MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
35.0ms
7.19620256287846e-10
30965262566.30617
29.0ms
6.525565733308252e-257
1.0586827012123445e-254
33.0ms
-2.0573604921529982e-203
-2.9298329082483548e-208
Samples
45.0ms135×1valid
32.0ms289×0valid
5.0ms8×2valid
Compiler

Compiled 822 to 519 computations (36.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-exp: 21.0ms (30.5% of total)
ival-mult: 13.0ms (18.9% of total)
ival-sub: 10.0ms (14.5% of total)
ival-div: 8.0ms (11.6% of total)
ival-add: 6.0ms (8.7% of total)
adjust: 5.0ms (7.3% of total)
ival-neg: 5.0ms (7.3% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch40.0ms (0.2%)

Memory
2.1MiB live, 80.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
35.0ms
7.19620256287846e-10
30965262566.30617
Samples
16.0ms51×1valid
13.0ms125×0valid
Compiler

Compiled 320 to 211 computations (34.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-div: 5.0ms (21.3% of total)
ival-mult: 5.0ms (21.3% of total)
ival-exp: 5.0ms (21.3% of total)
ival-sub: 3.0ms (12.8% of total)
ival-add: 2.0ms (8.5% of total)
ival-neg: 2.0ms (8.5% of total)
adjust: 1.0ms (4.3% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch60.0ms (0.3%)

Memory
20.9MiB live, 139.6MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
29.0ms
2.390203774242026e-31
5.194679020018177e-28
25.0ms
-6.982120436752769e-45
-6.918138400853506e-48
Samples
26.0ms89×1valid
19.0ms167×0valid
Compiler

Compiled 290 to 216 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-exp: 9.0ms (24.9% of total)
ival-mult: 9.0ms (24.9% of total)
ival-div: 5.0ms (13.8% of total)
ival-sub: 4.0ms (11.1% of total)
ival-neg: 3.0ms (8.3% of total)
ival-add: 3.0ms (8.3% of total)
adjust: 2.0ms (5.5% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch69.0ms (0.4%)

Memory
-32.7MiB live, 126.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
32.0ms
2.390203774242026e-31
5.194679020018177e-28
28.0ms
-6.982120436752769e-45
-6.918138400853506e-48
Samples
27.0ms160×0valid
25.0ms96×1valid
Compiler

Compiled 290 to 216 computations (25.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-exp: 14.0ms (33.1% of total)
ival-mult: 8.0ms (18.9% of total)
ival-sub: 7.0ms (16.5% of total)
ival-div: 5.0ms (11.8% of total)
ival-neg: 3.0ms (7.1% of total)
ival-add: 3.0ms (7.1% of total)
adjust: 2.0ms (4.7% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch56.0ms (0.3%)

Memory
21.1MiB live, 139.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
29.0ms
2.390203774242026e-31
5.194679020018177e-28
22.0ms
-8.651769174984961e-35
-7.995061653420716e-36
Samples
28.0ms79×1valid
15.0ms145×0valid
Compiler

Compiled 258 to 184 computations (28.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-exp: 10.0ms (27.9% of total)
ival-mult: 9.0ms (25.1% of total)
ival-div: 5.0ms (13.9% of total)
ival-sub: 4.0ms (11.1% of total)
ival-add: 3.0ms (8.4% of total)
adjust: 2.0ms (5.6% of total)
ival-neg: 2.0ms (5.6% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch54.0ms (0.3%)

Memory
11.8MiB live, 128.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
28.0ms
2.390203774242026e-31
5.194679020018177e-28
21.0ms
-8.651769174984961e-35
-7.995061653420716e-36
Samples
27.0ms89×1valid
14.0ms135×0valid
Compiler

Compiled 258 to 192 computations (25.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 9.0ms (26.4% of total)
ival-exp: 7.0ms (20.6% of total)
ival-sub: 4.0ms (11.8% of total)
ival-div: 4.0ms (11.8% of total)
adjust: 3.0ms (8.8% of total)
ival-neg: 3.0ms (8.8% of total)
ival-add: 3.0ms (8.8% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch60.0ms (0.3%)

Memory
-1.5MiB live, 78.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
34.0ms
1.7803726553640828e+166
6.802677317509112e+167
21.0ms
30965262566.30617
121163845951572580.0
Samples
47.0ms256×0valid
Compiler

Compiled 204 to 173 computations (15.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-div: 22.0ms (54.4% of total)
ival-mult: 5.0ms (12.4% of total)
ival-neg: 4.0ms (9.9% of total)
ival-exp: 3.0ms (7.4% of total)
ival-sub: 3.0ms (7.4% of total)
ival-add: 2.0ms (4.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch31.0ms (0.2%)

Memory
0.9MiB live, 39.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
28.0ms
30965262566.30617
121163845951572580.0
Samples
23.0ms144×0valid
Compiler

Compiled 106 to 96 computations (9.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-div: 10.0ms (51.1% of total)
ival-mult: 3.0ms (15.3% of total)
ival-exp: 2.0ms (10.2% of total)
ival-sub: 2.0ms (10.2% of total)
ival-add: 1.0ms (5.1% of total)
ival-neg: 1.0ms (5.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify20.0ms (0.1%)

Memory
8.8MiB live, 47.2MiB allocated
Algorithm
1×egg-herbie
Rules
46×*-commutative_binary64
44×+-commutative_binary64
12×sub-neg_binary64
6×neg-sub0_binary64
6×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0137468
1187468
2197468
3203468
4207468
5208468
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal -8108305550381903/853505847408621347082221029212320998034529065256436244530720999905796766440656905154743321711558949215095028555959454777073766611727278730286509574698346245900180170177793863483274020596712195165307522065393485053656415748796987045268976304128 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 x #s(literal 6769984589841923/9671406556917033397649408 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 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1/2 binary64)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (*.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 x #s(literal -8108305550381903/853505847408621347082221029212320998034529065256436244530720999905796766440656905154743321711558949215095028555959454777073766611727278730286509574698346245900180170177793863483274020596712195165307522065393485053656415748796987045268976304128 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 x #s(literal 19500000000000000507199066594495118388684201982201717325824 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 (*.f64 x (*.f64 eps eps)) x) #s(literal 2 binary64))))
(if (<=.f64 x #s(literal 3296557874286551/4226356249085321970818718279332132852150778608288972177023685672213391220453798875795338047101257503157395159946057029431058780476021484298004311827703516615267093471992040673349852141411411528424193863265689507233184226342012493910707175190136291811916308647181903986688 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 x #s(literal 285 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 eps eps)) x) #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -2349579613645237/90368446678662959902371482950548091627243325179250480789868861787606202571558351996987965471847359903068731695945087890499945499708108510324049698831582275405785474927446915858324226319766512887160235503322704971703517184 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) eps) (*.f64 eps (*.f64 eps eps)))))) #s(literal 2 binary64)) (if (<=.f64 x #s(literal 6762169998536515/8452712498170643941637436558664265704301557216577944354047371344426782440907597751590676094202515006314790319892114058862117560952042968596008623655407033230534186943984081346699704282822823056848387726531379014466368452684024987821414350380272583623832617294363807973376 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps))) #s(literal 2 binary64)) (if (<=.f64 x #s(literal 285 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 eps eps)) x) #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal -6506528160863733/1445895146858607358437943727208769466035893202868007692637901788601699241144933631951807447549557758449099707135121406247999127995329736165184795181305316406492567598839150653733187621116264206194563768053163279547256274944 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) eps) (*.f64 eps (*.f64 eps eps)))))) #s(literal 2 binary64)) (if (<=.f64 x #s(literal 7396123435899313/1056589062271330492704679569833033213037694652072243044255921418053347805113449718948834511775314375789348789986514257357764695119005371074501077956925879153816773367998010168337463035352852882106048465816422376808296056585503123477676793797534072952979077161795475996672 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps))) #s(literal 2 binary64)) (if (<=.f64 x #s(literal 335 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 eps eps)) x) #s(literal 2 binary64)))))
(if (<=.f64 x #s(literal 145 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 eps eps)) x) #s(literal 2 binary64)))
(if (<=.f64 x #s(literal -1491238505072343/102844034832575377634685573909834406561420991602098741459288064 binary64)) (/.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) #s(literal 2 binary64)) (if (<=.f64 x #s(literal 1320204115753013/178405961588244985132285746181186892047843328 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x (*.f64 eps eps)) x) #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -8356077830146749/3213876088517980551083924184682325205044405987565585670602752 binary64)) (/.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) #s(literal 2 binary64)) (if (<=.f64 x #s(literal 7493050386706289/713623846352979940529142984724747568191373312 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -3507603929594167/46768052394588893382517914646921056628989841375232 binary64)) (/.f64 (*.f64 eps (*.f64 eps (*.f64 x x))) #s(literal 2 binary64)) (if (<=.f64 x #s(literal 8251275723456331/22300745198530623141535718272648361505980416 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -496910556692507/5846006549323611672814739330865132078623730171904 binary64)) (/.f64 (*.f64 eps (*.f64 eps (*.f64 x x))) #s(literal 2 binary64)) (if (<=.f64 x #s(literal 348449143727041/696898287454081973172991196020261297061888 binary64)) #s(literal 1 binary64) (/.f64 (*.f64 eps (*.f64 eps (*.f64 x x))) #s(literal 2 binary64))))
(if (<=.f64 x #s(literal 31000000000 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 25000000000000000965224857185487860069850512872837609738605957392144347754123185667549347938635792585888937725715788757597831822384177127205791699343407658100181696512 binary64)) #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(if (<=.f64 x #s(literal 31000000000 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
Outputs
(if (<=.f64 x #s(literal -8108305550381903/853505847408621347082221029212320998034529065256436244530720999905796766440656905154743321711558949215095028555959454777073766611727278730286509574698346245900180170177793863483274020596712195165307522065393485053656415748796987045268976304128 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 x #s(literal 6769984589841923/9671406556917033397649408 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 (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1/2 binary64)) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) (*.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 x #s(literal -8108305550381903/853505847408621347082221029212320998034529065256436244530720999905796766440656905154743321711558949215095028555959454777073766611727278730286509574698346245900180170177793863483274020596712195165307522065393485053656415748796987045268976304128 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 x #s(literal 6769984589841923/9671406556917033397649408 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 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (exp.f64 (*.f64 x (-.f64 #s(literal 1 binary64) eps)))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))))
(if (<=.f64 x #s(literal -8108305550381903/853505847408621347082221029212320998034529065256436244530720999905796766440656905154743321711558949215095028555959454777073766611727278730286509574698346245900180170177793863483274020596712195165307522065393485053656415748796987045268976304128 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 x #s(literal 19500000000000000507199066594495118388684201982201717325824 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 (*.f64 x (*.f64 eps eps)) x) #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -8108305550381903/853505847408621347082221029212320998034529065256436244530720999905796766440656905154743321711558949215095028555959454777073766611727278730286509574698346245900180170177793863483274020596712195165307522065393485053656415748796987045268976304128 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 x #s(literal 19500000000000000507199066594495118388684201982201717325824 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 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))))
(if (<=.f64 x #s(literal 3296557874286551/4226356249085321970818718279332132852150778608288972177023685672213391220453798875795338047101257503157395159946057029431058780476021484298004311827703516615267093471992040673349852141411411528424193863265689507233184226342012493910707175190136291811916308647181903986688 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 x #s(literal 285 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 eps eps)) x) #s(literal 2 binary64))))
(if (<=.f64 x #s(literal 3296557874286551/4226356249085321970818718279332132852150778608288972177023685672213391220453798875795338047101257503157395159946057029431058780476021484298004311827703516615267093471992040673349852141411411528424193863265689507233184226342012493910707175190136291811916308647181903986688 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 x #s(literal 285 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (/.f64 #s(literal 1 binary64) eps) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))))) #s(literal 2 binary64)) (/.f64 (*.f64 x (*.f64 x (*.f64 eps eps))) #s(literal 2 binary64))))
(if (<=.f64 x #s(literal -2349579613645237/90368446678662959902371482950548091627243325179250480789868861787606202571558351996987965471847359903068731695945087890499945499708108510324049698831582275405785474927446915858324226319766512887160235503322704971703517184 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) eps) (*.f64 eps (*.f64 eps eps)))))) #s(literal 2 binary64)) (if (<=.f64 x #s(literal 6762169998536515/8452712498170643941637436558664265704301557216577944354047371344426782440907597751590676094202515006314790319892114058862117560952042968596008623655407033230534186943984081346699704282822823056848387726531379014466368452684024987821414350380272583623832617294363807973376 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x eps) (*.f64 x eps))) #s(literal 2 binary64)) (if (<=.f64 x #s(literal 285 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x (+.f64 (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (+.f64 (*.f64 x (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) (/.f64 #s(literal 1 binary64) eps))))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 x (*.f64 eps eps)) x) #s(literal 2 binary64)))))
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#s(literal 0 binary64)

soundness4.1s (21.7%)

Memory
-5.4MiB live, 6 112.1MiB allocated
Rules
15 250×accelerator-lowering-fma.f32
15 250×accelerator-lowering-fma.f64
15 116×accelerator-lowering-fma.f32
15 116×accelerator-lowering-fma.f64
13 194×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01929
15529
215427
349527
4111227
5332625
6758525
0812123
01924256
16584232
222254196
085453976
036234
1228166
21750158
08491152
04917928
116147586
253807097
081986600
054432
1419396
24625396
08552368
04575094
114544862
249244521
082904270
06095296
119754639
267404534
085624289
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 1 335 to 658 computations (50.7% saved)

preprocess124.0ms (0.7%)

Memory
-2.3MiB live, 188.7MiB allocated
Compiler

Compiled 1 144 to 356 computations (68.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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