NMSE Section 6.1 mentioned, A

Time bar (total: 15.8s)

analyze31.0ms (0.2%)

Memory
13.7MiB live, 56.9MiB 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 (16.8%)

Memory
-76.7MiB live, 3 893.8MiB allocated
Samples
1.2s2 239×1valid
840.0ms6 014×0valid
194.0ms977×0exit
2.0ms3×2valid
2.0ms9×1exit
Precisions
Click to see histograms. Total time spent on operations: 1.9s
ival-mult: 584.0ms (31.6% of total)
ival-exp: 409.0ms (22.1% of total)
ival-sub: 254.0ms (13.7% of total)
ival-div: 202.0ms (10.9% of total)
ival-add: 143.0ms (7.7% of total)
ival-neg: 131.0ms (7.1% of total)
adjust: 107.0ms (5.8% of total)
exact: 11.0ms (0.6% of total)
ival-true: 7.0ms (0.4% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

preprocess392.0ms (2.5%)

Memory
-4.8MiB live, 721.4MiB 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)
(fma.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
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)

explain346.0ms (2.2%)

Memory
-19.7MiB live, 680.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
613(-1.1262993690199279e-35 4.3855254342557696e-5)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)))))cancellation640
Confusion
Predicted +Predicted -
+610
-3192
Precision
0.953125
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6100
-30192
Precision?
0.953125
Recall?
1.0
Freqs
test
numberfreq
0192
164
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
77.0ms386×0valid
52.0ms126×1valid
Compiler

Compiled 348 to 80 computations (77% saved)

Precisions
Click to see histograms. Total time spent on operations: 78.0ms
ival-exp: 24.0ms (30.7% of total)
ival-mult: 15.0ms (19.2% of total)
ival-div: 10.0ms (12.8% of total)
ival-sub: 9.0ms (11.5% of total)
ival-add: 9.0ms (11.5% of total)
ival-neg: 6.0ms (7.7% of total)
adjust: 5.0ms (6.4% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune3.0ms (0%)

Memory
-36.7MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶76.9%
(/.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))
Compiler

Compiled 31 to 19 computations (38.7% saved)

simplify350.0ms (2.2%)

Memory
39.0MiB live, 469.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
✓cost-diff128
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
✓cost-diff128
(-.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-diff704
(/.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))
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
019141
155141
2154131
3495131
41112131
53326129
67585129
08121123
Stop Event
1×iter 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)
(- (* (+ 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 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
(fma.f64 (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) eps) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))))
(- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))))
(fma.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)
(fma.f64 eps (neg.f64 x) x)
(- 1 eps)
(-.f64 #s(literal 1 binary64) eps)
x
(* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(- (/ 1 eps) 1)
(+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))
(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)
(fma.f64 eps x x)
(+ 1 eps)
(+.f64 #s(literal 1 binary64) eps)
2
#s(literal 2 binary64)

localize82.0ms (0.5%)

Memory
-2.8MiB live, 162.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))
✓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%
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
✓accuracy76.9%
(-.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)))))
Samples
31.0ms193×0valid
26.0ms63×1valid
Compiler

Compiled 143 to 21 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-div: 11.0ms (24.9% of total)
ival-exp: 10.0ms (22.7% of total)
ival-sub: 8.0ms (18.1% of total)
ival-mult: 7.0ms (15.9% of total)
ival-neg: 3.0ms (6.8% of total)
ival-add: 3.0ms (6.8% of total)
adjust: 2.0ms (4.5% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series19.0ms (0.1%)

Memory
3.6MiB live, 42.2MiB allocated
Counts
6 → 144
Calls
Call 1
Inputs
#<alt (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)>
#<alt (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))))>
#<alt (neg (* (- 1 eps) x))>
#<alt (* (+ 1 eps) x)>
#<alt (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x))))>
#<alt (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))>
Outputs
#<alt (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))>
#<alt (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))>
#<alt (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))>
#<alt (+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (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)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))>
#<alt (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))>
#<alt (+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))>
#<alt (+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))>
#<alt (+ (* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))) (* 1/2 (/ (- (exp (neg (* x (- 1 eps)))) (exp (neg (* x (+ 1 eps))))) eps)))>
#<alt (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))>
#<alt (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))>
#<alt (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))>
#<alt (+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))>
#<alt (+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))>
#<alt (+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))>
#<alt (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))>
#<alt (- (+ (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))))) (+ (* -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))))))>
#<alt (- (+ (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))))) (+ (* -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))))))>
#<alt (- (+ (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))))))>
#<alt (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))>
#<alt (- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))>
#<alt (- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))>
#<alt (- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))>
#<alt (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))>
#<alt (- (+ (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)))))))>
#<alt (- (+ (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)))))))>
#<alt (- (+ (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)))))))>
#<alt 2>
#<alt (+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))>
#<alt (+ 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))))))>
#<alt (+ 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))))))>
#<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 x)>
#<alt (- (* eps x) x)>
#<alt (- (* eps x) x)>
#<alt (- (* eps x) x)>
#<alt (* eps x)>
#<alt (* eps (- (* -1 (/ x eps)) (* -1 x)))>
#<alt (* eps (- (* -1 (/ x eps)) (* -1 x)))>
#<alt (* eps (- (* -1 (/ x eps)) (* -1 x)))>
#<alt (* eps x)>
#<alt (* -1 (* eps (- (/ x eps) x)))>
#<alt (* -1 (* eps (- (/ x eps) x)))>
#<alt (* -1 (* eps (- (/ x eps) x)))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* -1 (* x (- 1 eps)))>
#<alt (* -1 (* x (- 1 eps)))>
#<alt (* -1 (* x (- 1 eps)))>
#<alt (* -1 (* x (- 1 eps)))>
#<alt x>
#<alt (+ x (* eps x))>
#<alt (+ x (* eps x))>
#<alt (+ x (* eps x))>
#<alt (* eps x)>
#<alt (* eps (+ x (/ x eps)))>
#<alt (* eps (+ x (/ x eps)))>
#<alt (* eps (+ x (/ x eps)))>
#<alt (* eps x)>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))>
#<alt (* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (* x (+ 1 eps))>
#<alt (/ (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)))>
#<alt (/ (exp (neg x)) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps)>
#<alt (* -1 (exp (neg (* x (+ 1 eps)))))>
#<alt (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))>
#<alt (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))>
#<alt (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))>
#<alt (* -1 (exp (neg (* x (- 1 (* -1 eps))))))>
#<alt (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))>
#<alt (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))>
#<alt (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))>
#<alt (- (/ 1 eps) 1)>
#<alt (- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)>
#<alt (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)>
#<alt (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
Calls

36 calls:

TimeVariablePointExpression
3.0ms
eps
@0
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
2.0ms
eps
@inf
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
2.0ms
x
@-inf
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
2.0ms
eps
@-inf
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
1.0ms
x
@inf
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)

rewrite348.0ms (2.2%)

Memory
-32.8MiB live, 669.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 830×accelerator-lowering-fma.f32
4 830×accelerator-lowering-fma.f64
3 930×/-lowering-/.f32
3 930×/-lowering-/.f64
3 926×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01993
111687
291786
0891078
Stop Event
1×iter limit
1×node limit
Counts
6 → 500
Calls
Call 1
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) x)))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))))
(neg (* (- 1 eps) x))
(* (+ 1 eps) x)
(* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x))))
(* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))
Outputs
(+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) #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))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 x (-.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 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))
(+.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) #s(literal -1/2 binary64)))
(-.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))) #s(literal 1/2 binary64)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
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(*.f64 #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))))
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(*.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))))

simplify462.0ms (2.9%)

Memory
28.0MiB live, 983.3MiB allocated
Algorithm
1×egg-herbie
Rules
16 366×accelerator-lowering-fma.f32
16 366×accelerator-lowering-fma.f64
4 512×+-lowering-+.f64
4 512×+-lowering-+.f32
4 372×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02993116
19752807
234052490
083612351
Stop Event
1×iter limit
1×node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(+ (* 1/2 (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x)))))))) (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))))
(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (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)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps)))))))
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(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
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1
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* 1/2 (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
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(* 1/2 (- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))))
(- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (+ (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))))) (+ (* -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))))))
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(- (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
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(- (* (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 x)
(- (* eps x) x)
(- (* eps x) x)
(- (* eps x) x)
(* eps x)
(* eps (- (* -1 (/ x eps)) (* -1 x)))
(* eps (- (* -1 (/ x eps)) (* -1 x)))
(* eps (- (* -1 (/ x eps)) (* -1 x)))
(* eps x)
(* -1 (* eps (- (/ x eps) x)))
(* -1 (* eps (- (/ x eps) x)))
(* -1 (* eps (- (/ x eps) x)))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* x (- eps 1))
(* -1 (* x (- 1 eps)))
(* -1 (* x (- 1 eps)))
(* -1 (* x (- 1 eps)))
(* -1 (* x (- 1 eps)))
x
(+ x (* eps x))
(+ x (* eps x))
(+ x (* eps x))
(* eps x)
(* eps (+ x (/ x eps)))
(* eps (+ x (/ x eps)))
(* eps (+ x (/ x eps)))
(* eps x)
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* 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))
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(* (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)))
(/ (exp (neg x)) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps)
(* -1 (exp (neg (* x (+ 1 eps)))))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(* -1 (exp (neg (* x (- 1 (* -1 eps))))))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(- (/ 1 eps) 1)
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
Outputs
(* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
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(+ (* 1/2 (- (+ (exp (neg x)) (* x (exp (neg x)))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (neg x))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* (pow eps 2) (+ (* 1/2 (* (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)))))))) (* 1/2 (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (* 1/24 (* (pow x 4) (exp (neg x))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))))))
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(+ (* -1/2 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))))
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1
#s(literal 1 binary64)
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(+ 1 (* x (+ (* 1/2 (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
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(-.f64 (*.f64 x eps) x)
x
(+ x (* eps x))
(fma.f64 x eps x)
(+ x (* eps x))
(fma.f64 x eps x)
(+ x (* eps x))
(fma.f64 x eps x)
(* eps x)
(*.f64 x eps)
(* eps (+ x (/ x eps)))
(*.f64 eps (+.f64 x (/.f64 x eps)))
(* eps (+ x (/ x eps)))
(*.f64 eps (+.f64 x (/.f64 x eps)))
(* eps (+ x (/ x eps)))
(*.f64 eps (+.f64 x (/.f64 x eps)))
(* eps x)
(*.f64 x eps)
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))
(*.f64 eps (+.f64 x (/.f64 x eps)))
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))
(*.f64 eps (+.f64 x (/.f64 x eps)))
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))
(*.f64 eps (+.f64 x (/.f64 x eps)))
(* x (+ 1 eps))
(fma.f64 x eps x)
(* x (+ 1 eps))
(fma.f64 x eps x)
(* x (+ 1 eps))
(fma.f64 x eps x)
(* x (+ 1 eps))
(fma.f64 x eps x)
(* x (+ 1 eps))
(fma.f64 x eps x)
(* x (+ 1 eps))
(fma.f64 x eps x)
(* x (+ 1 eps))
(fma.f64 x eps x)
(* x (+ 1 eps))
(fma.f64 x eps x)
(* x (+ 1 eps))
(fma.f64 x eps x)
(* x (+ 1 eps))
(fma.f64 x eps x)
(* x (+ 1 eps))
(fma.f64 x eps x)
(* x (+ 1 eps))
(fma.f64 x eps x)
(/ (exp (neg x)) eps)
(/.f64 (exp.f64 (neg.f64 x)) eps)
(/ (+ (exp (neg x)) (* eps (+ (exp (neg x)) (* x (exp (neg x)))))) eps)
(/.f64 (*.f64 (fma.f64 eps (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.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 (fma.f64 (fma.f64 eps (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) (*.f64 eps (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) 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 (fma.f64 (fma.f64 eps (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) (*.f64 eps (*.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x) (*.f64 (*.f64 (exp.f64 (neg.f64 x)) eps) (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)))))))) eps)
(exp (neg (* x (- 1 eps))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps))
(*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.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 (*.f64 x eps) x)) (+.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 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(+ (exp (neg (* x (+ 1 (* -1 eps))))) (/ (exp (neg (* x (+ 1 (* -1 eps))))) eps))
(*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.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 (*.f64 x eps) x)) (+.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 (*.f64 x eps) x)) (+.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 (fma.f64 x (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.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)))
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.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)))
(fma.f64 (fma.f64 x (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)))))))))
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (- (* eps x) x)) (+ 1 (/ 1 eps)))
(*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps)))
(*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(/ (exp (neg x)) eps)
(/.f64 (exp.f64 (neg.f64 x)) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)
(/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal -1 binary64) x)) eps (exp.f64 (neg.f64 x))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps)
(/.f64 (fma.f64 eps (fma.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x)) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal -1 binary64) x))) (exp.f64 (neg.f64 x))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps)
(/.f64 (fma.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) (-.f64 #s(literal -1 binary64) x) (*.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x x) (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))))) (exp.f64 (neg.f64 x))) eps)
(* -1 (exp (neg (* x (+ 1 eps)))))
(neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(-.f64 #s(literal 0 binary64) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(-.f64 #s(literal 0 binary64) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(-.f64 #s(literal 0 binary64) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(* -1 (exp (neg (* x (- 1 (* -1 eps))))))
(neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(-.f64 #s(literal 0 binary64) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(-.f64 #s(literal 0 binary64) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(-.f64 #s(literal 0 binary64) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(- (/ 1 eps) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(*.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)
(+.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps)))
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)
(fma.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (fma.f64 x eps x) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64)))))))))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(*.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 (* eps x)))) (- (/ 1 eps) 1))
(*.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 (* eps x)))) (- (/ 1 eps) 1))
(*.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 (* eps x)))) (- (/ 1 eps) 1))
(*.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 eps) 1))
(*.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 eps) 1))
(*.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 eps) 1))
(*.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 eps) 1))
(*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))

eval94.0ms (0.6%)

Memory
-2.4MiB live, 255.6MiB allocated
Compiler

Compiled 32 659 to 2 454 computations (92.5% saved)

prune132.0ms (0.8%)

Memory
-17.6MiB live, 222.4MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New6359644
Fresh000
Picked101
Done000
Total6369645
Accuracy
100.0%
Counts
645 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.9%
(fma.f64 (fma.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))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
72.0%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
34.7%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.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))
▶42.0%
(/.f64 (-.f64 (*.f64 (fma.f64 x (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.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))
56.1%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (+.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
▶44.2%
(/.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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
▶98.5%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
▶55.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
▶41.0%
#s(literal 1 binary64)
Compiler

Compiled 462 to 266 computations (42.4% saved)

simplify698.0ms (4.4%)

Memory
41.9MiB live, 716.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
✓cost-diff128
(*.f64 (fma.f64 x (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
✓cost-diff128
(-.f64 (*.f64 (fma.f64 x (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.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-diff384
(/.f64 (-.f64 (*.f64 (fma.f64 x (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.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 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))
✓cost-diff128
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
✓cost-diff128
(-.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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
✓cost-diff384
(/.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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
✓cost-diff0
(neg.f64 x)
✓cost-diff0
(exp.f64 (neg.f64 x))
✓cost-diff0
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
✓cost-diff512
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
✓cost-diff0
(-.f64 (*.f64 x eps) x)
✓cost-diff0
(exp.f64 (-.f64 (*.f64 x eps) x))
✓cost-diff0
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Rules
26 878×accelerator-lowering-fma.f32
26 878×accelerator-lowering-fma.f64
3 352×+-lowering-+.f64
3 352×+-lowering-+.f32
3 160×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042316
1131312
2367308
31056304
43737304
08339290
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps)))))
1/2
(+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))
(exp (- (* x eps) x))
(- (* x eps) x)
(* x eps)
x
eps
(exp (* x (- -1 eps)))
(* x (- -1 eps))
(- -1 eps)
-1
1
(* 1/2 (* (exp (neg x)) (+ (+ x 2) x)))
1/2
(* (exp (neg x)) (+ (+ x 2) x))
(exp (neg x))
(neg x)
x
(+ (+ x 2) x)
(+ x 2)
2
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ -1 (/ 1 eps))) 2)
(- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ -1 (/ 1 eps)))
(* (+ 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 (/ 1 eps))
-1
2
(/ (- (* (+ (* x (+ -1 eps)) 1) (+ 1 (/ 1 eps))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
(- (* (+ (* x (+ -1 eps)) 1) (+ 1 (/ 1 eps))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))))
(* (+ (* x (+ -1 eps)) 1) (+ 1 (/ 1 eps)))
(+ (* x (+ -1 eps)) 1)
x
(+ -1 eps)
-1
eps
1
(+ 1 (/ 1 eps))
(/ 1 eps)
(* (- (/ 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 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
1/2
#s(literal 1/2 binary64)
(+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))
(+.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(exp (- (* x eps) x))
(exp.f64 (fma.f64 x eps (neg.f64 x)))
(- (* x eps) x)
(fma.f64 x eps (neg.f64 x))
(* x eps)
(*.f64 x eps)
x
eps
(exp (* x (- -1 eps)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(* x (- -1 eps))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
-1
#s(literal -1 binary64)
1
#s(literal 1 binary64)
(* 1/2 (* (exp (neg x)) (+ (+ x 2) x)))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))
1/2
#s(literal 1/2 binary64)
(* (exp (neg x)) (+ (+ x 2) x))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (+.f64 x #s(literal 2 binary64))))
(exp (neg x))
(exp.f64 (neg.f64 x))
(neg x)
(neg.f64 x)
x
(+ (+ x 2) x)
(+.f64 x (+.f64 x #s(literal 2 binary64)))
(+ x 2)
(+.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ -1 (/ 1 eps))) 2)
(+.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (fma.f64 x eps (neg.f64 x)))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1/2 binary64) eps))
(- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ -1 (/ 1 eps)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (fma.f64 x eps (neg.f64 x))) (+.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 (fma.f64 x eps (neg.f64 x))))
(+ 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 (fma.f64 x eps (neg.f64 x)))
(neg (* (- 1 eps) x))
(fma.f64 x eps (neg.f64 x))
(* (- 1 eps) x)
(fma.f64 eps (neg.f64 x) x)
(- 1 eps)
(-.f64 #s(literal 1 binary64) eps)
x
(+ -1 (/ 1 eps))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
-1
#s(literal -1 binary64)
2
#s(literal 2 binary64)
(/ (- (* (+ (* x (+ -1 eps)) 1) (+ 1 (/ 1 eps))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
(fma.f64 (-.f64 (fma.f64 x eps #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) eps))) #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) eps))))
(- (* (+ (* x (+ -1 eps)) 1) (+ 1 (/ 1 eps))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))))
(+.f64 (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) eps) #s(literal 0 binary64))) (fma.f64 x eps #s(literal 1 binary64)))
(* (+ (* x (+ -1 eps)) 1) (+ 1 (/ 1 eps)))
(-.f64 (fma.f64 x eps #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) eps)))
(+ (* x (+ -1 eps)) 1)
(fma.f64 x eps (-.f64 #s(literal 1 binary64) x))
x
(+ -1 eps)
(+.f64 eps #s(literal -1 binary64))
-1
#s(literal -1 binary64)
eps
1
#s(literal 1 binary64)
(+ 1 (/ 1 eps))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(* (- (/ 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)
(fma.f64 x eps x)
(+ 1 eps)
(+.f64 eps #s(literal 1 binary64))
2
#s(literal 2 binary64)

localize294.0ms (1.9%)

Memory
-10.3MiB live, 259.9MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))
✓accuracy100.0%
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
✓accuracy100.0%
(*.f64 (fma.f64 x (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
✓accuracy73.5%
(-.f64 (*.f64 (fma.f64 x (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.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 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
✓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))))
✓accuracy78.3%
(-.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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(exp.f64 (neg.f64 x))
✓accuracy100.0%
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
✓accuracy100.0%
(+.f64 (+.f64 x #s(literal 2 binary64)) x)
✓accuracy100.0%
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
✓accuracy100.0%
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
✓accuracy100.0%
(-.f64 (*.f64 x eps) x)
✓accuracy100.0%
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
Samples
126.0ms197×0valid
42.0ms59×1valid
Compiler

Compiled 318 to 44 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 120.0ms
ival-sub: 56.0ms (46.5% of total)
ival-mult: 19.0ms (15.8% of total)
ival-exp: 16.0ms (13.3% of total)
ival-add: 11.0ms (9.1% of total)
ival-div: 8.0ms (6.6% of total)
adjust: 5.0ms (4.2% of total)
ival-neg: 4.0ms (3.3% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series44.0ms (0.3%)

Memory
-25.8MiB live, 49.8MiB allocated
Counts
22 → 456
Calls
Call 1
Inputs
#<alt (* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps)))))>
#<alt (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))>
#<alt (exp (- (* x eps) x))>
#<alt (- (* x eps) x)>
#<alt (* 1/2 (* (exp (neg x)) (+ (+ x 2) x)))>
#<alt (* (exp (neg x)) (+ (+ x 2) x))>
#<alt (exp (neg x))>
#<alt (neg x)>
#<alt (/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ -1 (/ 1 eps))) 2)>
#<alt (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ -1 (/ 1 eps)))>
#<alt (neg (* (- 1 eps) x))>
#<alt (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x))))>
#<alt (/ (- (* (+ (* x (+ -1 eps)) 1) (+ 1 (/ 1 eps))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)>
#<alt (- (* (+ (* x (+ -1 eps)) 1) (+ 1 (/ 1 eps))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))))>
#<alt (* (+ (* x (+ -1 eps)) 1) (+ 1 (/ 1 eps)))>
#<alt (* (+ 1 eps) x)>
#<alt (* x (- -1 eps))>
#<alt (exp (* x (- -1 eps)))>
#<alt (+ (+ x 2) x)>
#<alt (+ -1 (/ 1 eps))>
#<alt (exp (neg (* (- 1 eps) x)))>
#<alt (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))>
#<alt (+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)))))>
#<alt (+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x)))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x)))))>
#<alt (* 1/2 (+ (exp (neg x)) (exp (* -1 x))))>
#<alt (+ (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x)))))) (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))))>
#<alt (+ (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x))))))))>
#<alt (+ (* 1/2 (+ (exp (neg x)) (exp (* -1 x)))) (* eps (+ (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (neg x))))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))>
#<alt (* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))>
#<alt 2>
#<alt (+ 2 (* x (- (+ eps (* -1 (+ 1 eps))) 1)))>
#<alt (+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))) 1)))>
#<alt (+ 2 (* x (- (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (+ (* 1/2 (pow (- eps 1) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))))))) 1)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x))))>
#<alt (+ (exp (neg x)) (exp (* -1 x)))>
#<alt (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x)))))))>
#<alt (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (neg x))))))))>
#<alt (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (* (pow x 3) (exp (neg x))))))))) (* x (exp (neg x))))))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x)))>
#<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 (+ (* -1 x) (* eps x)))>
#<alt (exp (+ (* -1 x) (* eps x)))>
#<alt (exp (+ (* -1 x) (* eps x)))>
#<alt (exp (+ (* -1 x) (* eps x)))>
#<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 (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* x (- eps 1))>
#<alt (* -1 (* x (+ 1 (* -1 eps))))>
#<alt (* -1 (* x (+ 1 (* -1 eps))))>
#<alt (* -1 (* x (+ 1 (* -1 eps))))>
#<alt (* -1 (* x (+ 1 (* -1 eps))))>
#<alt (* -1 x)>
#<alt (- (* eps x) x)>
#<alt (- (* eps x) x)>
#<alt (- (* eps x) x)>
#<alt (* eps x)>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps (+ x (* -1 (/ x eps))))>
#<alt (* eps x)>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt (* -1 (* eps (+ (* -1 x) (/ x eps))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))>
#<alt (* x (exp (neg x)))>
#<alt (* x (+ (exp (neg x)) (/ (exp (neg x)) x)))>
#<alt (* x (+ (exp (neg x)) (/ (exp (neg x)) x)))>
#<alt (* x (+ (exp (neg x)) (/ (exp (neg x)) x)))>
#<alt (* x (exp (* -1 x)))>
#<alt (* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))>
#<alt (* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))>
#<alt (* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))>
#<alt 2>
#<alt (+ 2 (* -1 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (- (* 2/3 x) 1)))>
#<alt (+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1)))>
#<alt (* 2 (* x (exp (neg x))))>
#<alt (* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))>
#<alt (* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))>
#<alt (* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))>
#<alt (* 2 (* x (exp (* -1 x))))>
#<alt (* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))>
#<alt (* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))>
#<alt (* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (neg x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (exp (* -1 x))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
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#<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 2>
#<alt (+ 2 (* 2 x))>
#<alt (+ 2 (* 2 x))>
#<alt (+ 2 (* 2 x))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (* x (+ 2 (* 2 (/ 1 x))))>
#<alt (/ 1 eps)>
#<alt (/ (+ 1 (* -1 eps)) eps)>
#<alt (/ (+ 1 (* -1 eps)) eps)>
#<alt (/ (+ 1 (* -1 eps)) eps)>
#<alt -1>
#<alt (- (/ 1 eps) 1)>
#<alt (- (/ 1 eps) 1)>
#<alt (- (/ 1 eps) 1)>
#<alt -1>
#<alt (- (/ 1 eps) 1)>
#<alt (- (/ 1 eps) 1)>
#<alt (- (/ 1 eps) 1)>
#<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 (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps)>
#<alt (/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps)>
#<alt (* -1 (exp (neg (* x (+ 1 eps)))))>
#<alt (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))>
#<alt (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))>
#<alt (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))>
#<alt (* -1 (exp (neg (* x (- 1 (* -1 eps))))))>
#<alt (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))>
#<alt (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))>
#<alt (+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))>
#<alt (- (/ 1 eps) 1)>
#<alt (- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)>
#<alt (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)>
#<alt (- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
#<alt (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))>
Calls

114 calls:

TimeVariablePointExpression
16.0ms
x
@inf
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ -1 (/ 1 eps))) 2)
3.0ms
eps
@0
(- (* x eps) x)
1.0ms
eps
@-inf
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ -1 (/ 1 eps))) 2)
1.0ms
x
@-inf
(/ (- (* (+ (* x (+ -1 eps)) 1) (+ 1 (/ 1 eps))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
1.0ms
eps
@0
(* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps)))))

rewrite631.0ms (4%)

Memory
10.6MiB live, 688.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 594×accelerator-lowering-fma.f32
5 594×accelerator-lowering-fma.f64
4 928×/-lowering-/.f32
4 928×/-lowering-/.f64
3 996×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042236
1284228
22755228
09899215
Stop Event
1×iter limit
1×node limit
Counts
22 → 1 042
Calls
Call 1
Inputs
(* 1/2 (+ (exp (- (* x eps) x)) (exp (* x (- -1 eps)))))
(+ (exp (- (* x eps) x)) (exp (* x (- -1 eps))))
(exp (- (* x eps) x))
(- (* x eps) x)
(* 1/2 (* (exp (neg x)) (+ (+ x 2) x)))
(* (exp (neg x)) (+ (+ x 2) x))
(exp (neg x))
(neg x)
(/ (- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ -1 (/ 1 eps))) 2)
(- (* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x)))) (+ -1 (/ 1 eps)))
(neg (* (- 1 eps) x))
(* (+ 1 (/ 1 eps)) (exp (neg (* (- 1 eps) x))))
(/ (- (* (+ (* x (+ -1 eps)) 1) (+ 1 (/ 1 eps))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))) 2)
(- (* (+ (* x (+ -1 eps)) 1) (+ 1 (/ 1 eps))) (* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x)))))
(* (+ (* x (+ -1 eps)) 1) (+ 1 (/ 1 eps)))
(* (+ 1 eps) x)
(* x (- -1 eps))
(exp (* x (- -1 eps)))
(+ (+ x 2) x)
(+ -1 (/ 1 eps))
(exp (neg (* (- 1 eps) x)))
(* (- (/ 1 eps) 1) (exp (neg (* (+ 1 eps) x))))
Outputs
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x))))
(fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(fma.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x))))
(/.f64 (fma.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 3 binary64))) #s(literal 1/8 binary64) (*.f64 (exp.f64 (*.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 3 binary64))) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (neg.f64 (fma.f64 x eps x)))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (exp.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps)))))) (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (neg.f64 (fma.f64 x eps x)))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (exp.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps))))) #s(literal 1/2 binary64)) (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(/.f64 (neg.f64 (fma.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 3 binary64))) #s(literal 1/8 binary64) (*.f64 (exp.f64 (*.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 3 binary64))) #s(literal 1/8 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 3 binary64)))))) (neg.f64 (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (neg.f64 (fma.f64 x eps x))))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (exp.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps))))))) (neg.f64 (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 3 binary64))) (exp.f64 (*.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (neg.f64 (fma.f64 x eps x))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (exp.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps))))) #s(literal 1/2 binary64))) (neg.f64 (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(/.f64 (fma.f64 (exp.f64 (*.f64 (neg.f64 (fma.f64 x eps x)) #s(literal 3 binary64))) #s(literal 1/8 binary64) (*.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 3 binary64))) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x)))))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))))
(*.f64 (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x)))) #s(literal 1/2 binary64))
(+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(-.f64 (/.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x))))) (/.f64 (exp.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x))))))
(-.f64 (/.f64 (exp.f64 (*.f64 x (*.f64 #s(literal 2 binary64) (-.f64 #s(literal -1 binary64) eps)))) (-.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (*.f64 x eps) x)))) (/.f64 (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 2 binary64))) (-.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (*.f64 x eps) x)))))
(fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x eps)) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 (exp.f64 (neg.f64 x)) (exp.f64 (*.f64 (neg.f64 eps) x)) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 (fma.f64 x eps x))))
(fma.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (neg.f64 x)) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 (exp.f64 (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 (-.f64 #s(literal -1 binary64) eps) #s(literal 2 binary64)))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x eps)) (exp.f64 (neg.f64 x)) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x eps)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 1 binary64))) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x eps)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) x)) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x eps)) (exp.f64 (-.f64 (*.f64 x eps) x)))
(fma.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x #s(literal 1 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x (neg.f64 eps))) (exp.f64 (neg.f64 (fma.f64 x eps x))))
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simplify570.0ms (3.6%)

Memory
35.0MiB live, 994.9MiB allocated
Algorithm
1×egg-herbie
Rules
13 544×accelerator-lowering-fma.f32
13 544×accelerator-lowering-fma.f64
6 178×*-lowering-*.f32
6 178×*-lowering-*.f64
4 626×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06786586
123715805
278085788
087445499
Stop Event
1×iter limit
1×node limit
Counts
456 → 456
Calls
Call 1
Inputs
1
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(/ (+ (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)))
1
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(+ 1 (* x (+ (* -1/4 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))) (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))))
(+ 1 (* x (+ (* 1/2 (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))) (* x (+ (* -1/4 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/12 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))))))
(* 1/2 (* x (* (+ 1 (/ 1 eps)) (- eps 1))))
(* x (+ (* 1/2 (* (+ 1 (/ 1 eps)) (- eps 1))) (* 1/2 (/ (- (+ 1 (/ 1 eps)) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))) x))))
(* x (+ (* 1/2 (* (+ 1 (/ 1 eps)) (- eps 1))) (* 1/2 (/ (- (+ 1 (/ 1 eps)) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))) x))))
(* x (+ (* 1/2 (* (+ 1 (/ 1 eps)) (- eps 1))) (* 1/2 (/ (- (+ 1 (/ 1 eps)) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))) x))))
(* 1/2 (* x (* (+ 1 (/ 1 eps)) (- eps 1))))
(* -1 (* x (+ (* -1/2 (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1/2 (/ (- (+ 1 (/ 1 eps)) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) x)))))
(* -1 (* x (+ (* -1/2 (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1/2 (/ (- (+ 1 (/ 1 eps)) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) x)))))
(* -1 (* x (+ (* -1/2 (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1/2 (/ (- (+ 1 (/ 1 eps)) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) x)))))
(* 1/2 (/ (- (+ 1 (* -1 x)) (exp (neg x))) eps))
(/ (+ (* 1/2 (* eps (- (+ 1 (+ x (* -1 x))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))) (* 1/2 (- (+ 1 (* -1 x)) (exp (neg x))))) eps)
(/ (+ (* 1/2 (- (+ 1 (* -1 x)) (exp (neg x)))) (* eps (+ (* 1/2 (* eps (- x (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))) (* 1/2 (- (+ 1 (+ x (* -1 x))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x)))))))))) eps)
(/ (+ (* 1/2 (- (+ 1 (* -1 x)) (exp (neg x)))) (* eps (+ (* 1/2 (- (+ 1 (+ x (* -1 x))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) (* eps (+ (* -1/2 (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))) (* 1/2 (- x (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))))) eps)
(* 1/2 (* eps x))
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(* eps (+ (* 1/2 x) (+ (* 1/2 (/ (- (+ 1 (* -1 x)) (exp (neg (* x (+ 1 eps))))) (pow eps 2))) (* 1/2 (/ (- (+ 1 (+ x (* -1 x))) (* -1 (exp (neg (* x (+ 1 eps)))))) eps)))))
(* eps (+ (* 1/2 x) (+ (* 1/2 (/ (- (+ 1 (* -1 x)) (exp (neg (* x (+ 1 eps))))) (pow eps 2))) (* 1/2 (/ (- (+ 1 (+ x (* -1 x))) (* -1 (exp (neg (* x (+ 1 eps)))))) eps)))))
(* 1/2 (* eps x))
(* -1 (* eps (+ (* -1/2 x) (* -1/2 (/ (- (+ 1 (+ x (* -1 x))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)))))
(* -1 (* eps (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (+ 1 (* -1 x))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (+ 1 (+ x (* -1 x))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))) eps)) (* -1/2 x))))
(* -1 (* eps (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1 (+ 1 (* -1 x))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)) (* 1/2 (- (+ 1 (+ x (* -1 x))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))) eps)) (* -1/2 x))))
2
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(+ 2 (* x (- (+ (* -1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* x (- (* 1/6 (* x (* (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))))))
(* x (* (+ 1 (/ 1 eps)) (- eps 1)))
(* x (- (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (+ (/ 1 x) (/ 1 (* eps x)))) (/ (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)) x)))
(* x (- (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (+ (/ 1 x) (/ 1 (* eps x)))) (/ (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)) x)))
(* x (- (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (+ (/ 1 x) (/ 1 (* eps x)))) (/ (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)) x)))
(* x (* (+ 1 (/ 1 eps)) (- eps 1)))
(* -1 (* x (+ (* -1 (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (/ (- (+ 1 (/ 1 eps)) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) x)))))
(* -1 (* x (+ (* -1 (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (/ (- (+ 1 (/ 1 eps)) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) x)))))
(* -1 (* x (+ (* -1 (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (/ (- (+ 1 (/ 1 eps)) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))) x)))))
(/ (- (+ 1 (* -1 x)) (exp (neg x))) eps)
(/ (- (+ 1 (+ (* -1 x) (* eps (- (+ 1 (+ x (* -1 x))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))) (exp (neg x))) eps)
(/ (- (+ 1 (+ (* -1 x) (* eps (- (+ 1 (+ x (+ (* -1 x) (* eps (- x (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))) (exp (neg x))) eps)
(/ (- (+ 1 (+ (* -1 x) (* eps (- (+ 1 (+ x (+ (* -1 x) (* eps (- (+ x (* -1 (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))))) (exp (neg x))) eps)
(* eps x)
(* eps (- (+ x (+ (* -1 (/ x eps)) (+ (/ 1 eps) (/ x eps)))) (* -1 (/ (exp (neg (* x (+ 1 eps)))) eps))))
(* eps (- (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (/ 1 eps) (+ (/ 1 (pow eps 2)) (/ x eps)))))) (+ (* -1 (/ (exp (neg (* x (+ 1 eps)))) eps)) (/ (exp (neg (* x (+ 1 eps)))) (pow eps 2)))))
(* eps (- (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (/ 1 eps) (+ (/ 1 (pow eps 2)) (/ x eps)))))) (+ (* -1 (/ (exp (neg (* x (+ 1 eps)))) eps)) (/ (exp (neg (* x (+ 1 eps)))) (pow eps 2)))))
(* eps x)
(* -1 (* eps (+ (* -1 x) (* -1 (/ (- (+ 1 (+ x (* -1 x))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ (- (+ 1 (+ x (+ (* -1 x) (* -1 (/ (- (* -1 (+ 1 (* -1 x))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ (- (+ 1 (+ x (+ (* -1 x) (* -1 (/ (- (* -1 (+ 1 (* -1 x))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps)))))
(+ 1 (/ 1 eps))
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))
(+ 1 (+ (* x (* (+ 1 (/ 1 eps)) (- eps 1))) (/ 1 eps)))
(* x (* (+ 1 (/ 1 eps)) (- eps 1)))
(* x (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (+ (/ 1 x) (/ 1 (* eps x)))))
(* x (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (+ (/ 1 x) (/ 1 (* eps x)))))
(* x (+ (* (+ 1 (/ 1 eps)) (- eps 1)) (+ (/ 1 x) (/ 1 (* eps x)))))
(* x (* (+ 1 (/ 1 eps)) (- eps 1)))
(* -1 (* x (+ (* -1 (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (/ (+ 1 (/ 1 eps)) x)))))
(* -1 (* x (+ (* -1 (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (/ (+ 1 (/ 1 eps)) x)))))
(* -1 (* x (+ (* -1 (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (/ (+ 1 (/ 1 eps)) x)))))
(/ (+ 1 (* -1 x)) eps)
(/ (+ 1 (+ (* -1 x) (* eps (+ 1 (+ x (* -1 x)))))) eps)
(/ (+ 1 (+ (* -1 x) (* eps (+ 1 (+ x (+ (* -1 x) (* eps x))))))) eps)
(/ (+ 1 (+ (* -1 x) (* eps (+ 1 (+ x (+ (* -1 x) (* eps x))))))) eps)
(* eps x)
(* eps (+ x (+ (* -1 (/ x eps)) (+ (/ 1 eps) (/ x eps)))))
(* eps (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (/ 1 eps) (+ (/ 1 (pow eps 2)) (/ x eps)))))))
(* eps (+ x (+ (* -1 (/ x eps)) (+ (* -1 (/ x (pow eps 2))) (+ (/ 1 eps) (+ (/ 1 (pow eps 2)) (/ x eps)))))))
(* eps x)
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ 1 (+ x (* -1 x))) eps)))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ 1 (+ x (+ (* -1 x) (+ (* -1 (/ x eps)) (/ 1 eps))))) eps)))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ (+ 1 (+ x (+ (* -1 x) (+ (* -1 (/ x eps)) (/ 1 eps))))) eps)))))
x
(+ x (* eps x))
(+ x (* eps x))
(+ x (* eps x))
(* eps x)
(* eps (+ x (/ x eps)))
(* eps (+ x (/ x eps)))
(* eps (+ x (/ x eps)))
(* eps x)
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))
(* -1 (* eps (+ (* -1 x) (* -1 (/ x eps)))))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* x (+ 1 eps))
(* 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 eps)))
(* -1 x)
(+ (* -1 x) (* -1 (* eps x)))
(+ (* -1 x) (* -1 (* eps x)))
(+ (* -1 x) (* -1 (* eps x)))
(* -1 (* eps x))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* -1 (* eps x))
(* -1 (* eps (+ x (/ x eps))))
(* -1 (* eps (+ x (/ x eps))))
(* -1 (* eps (+ x (/ x eps))))
1
(+ 1 (* -1 (* x (+ 1 eps))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 x))
(+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x))))))
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))))))
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
2
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(+ 2 (* 2 x))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(* x (+ 2 (* 2 (/ 1 x))))
(/ 1 eps)
(/ (+ 1 (* -1 eps)) eps)
(/ (+ 1 (* -1 eps)) eps)
(/ (+ 1 (* -1 eps)) eps)
-1
(- (/ 1 eps) 1)
(- (/ 1 eps) 1)
(- (/ 1 eps) 1)
-1
(- (/ 1 eps) 1)
(- (/ 1 eps) 1)
(- (/ 1 eps) 1)
(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 (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps)
(* -1 (exp (neg (* x (+ 1 eps)))))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps))
(* -1 (exp (neg (* x (- 1 (* -1 eps))))))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) eps))
(- (/ 1 eps) 1)
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (- (+ eps (* -1 (+ 1 eps))) 1))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2))))) (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)))))
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (- (+ eps (* -1 (+ 1 eps))) 1)) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow (- eps 1) 3))))) (* 1/2 (+ (* 1/2 (pow (+ 1 eps) 2)) (* 1/2 (pow (- eps 1) 2)))))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal -1/6 binary64))))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (+ (* -1 x) (* eps x)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
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#s(literal -1 binary64)
(- (/ 1 eps) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
(- (/ 1 eps) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
(- (/ 1 eps) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
(exp (neg x))
(exp.f64 (neg.f64 x))
(+ (exp (neg x)) (* eps (* x (exp (neg x)))))
(*.f64 (fma.f64 x eps #s(literal 1 binary64)) (exp.f64 (neg.f64 x)))
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))
(fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 eps (*.f64 x x))) (*.f64 #s(literal 1/2 binary64) eps) (*.f64 (fma.f64 x eps #s(literal 1 binary64)) (exp.f64 (neg.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))))))
(fma.f64 (*.f64 eps eps) (fma.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 eps (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x)))) (exp.f64 (neg.f64 x)))) (*.f64 (fma.f64 x eps #s(literal 1 binary64)) (exp.f64 (neg.f64 x))))
(exp (neg (* x (- 1 eps))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (neg (* x (- 1 eps))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (neg (* x (- 1 eps))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (neg (* x (- 1 eps))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp.f64 (-.f64 (*.f64 x eps) x))
1
#s(literal 1 binary64)
(+ 1 (* x (- eps 1)))
(fma.f64 x (+.f64 eps #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(fma.f64 x (+.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) #s(literal -1 binary64))) #s(literal 1 binary64))
(exp (- (* eps x) x))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (- (* eps x) x))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (- (* eps x) x))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (- (* eps x) x))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (neg (* x (- 1 eps))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (neg (* x (- 1 eps))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (neg (* x (- 1 eps))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(exp (neg (* x (- 1 eps))))
(exp.f64 (-.f64 (*.f64 x eps) x))
(/ (exp (neg x)) eps)
(/.f64 (exp.f64 (neg.f64 x)) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))) eps)
(/.f64 (fma.f64 (neg.f64 eps) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) x)) (exp.f64 (neg.f64 x))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* x (exp (neg x))))))))) eps)
(/.f64 (fma.f64 eps (fma.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (neg.f64 x) #s(literal -1 binary64)))) (exp.f64 (neg.f64 x))) eps)
(/ (+ (exp (neg x)) (* eps (+ (* -1 (exp (neg x))) (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* eps (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x)))))) (* x (exp (neg x)))))))))) eps)
(/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) x))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (neg.f64 x) #s(literal -1 binary64)))) (exp.f64 (neg.f64 x))) eps)
(* -1 (exp (neg (* x (+ 1 eps)))))
(neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) 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 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) 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 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) 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 (exp (neg (* x (- 1 (* -1 eps))))))
(neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (* -1 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) 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 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) 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 (exp (neg (* x (- 1 (* -1 eps)))))) (/ (exp (neg (* x (- 1 (* -1 eps))))) 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 eps) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
(- (+ (* -1 (* x (* (+ 1 eps) (- (/ 1 eps) 1)))) (/ 1 eps)) 1)
(fma.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* 1/2 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))))) (/ 1 eps)) 1)
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(- (+ (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))) (* x (+ (* -1/6 (* x (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))))) (/ 1 eps)) 1)
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)))) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #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) (/.f64 #s(literal 1 binary64) eps)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))

eval203.0ms (1.3%)

Memory
3.9MiB live, 524.4MiB allocated
Compiler

Compiled 48 733 to 4 780 computations (90.2% saved)

prune317.0ms (2%)

Memory
-42.2MiB live, 350.9MiB allocated
Pruning

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New1 472261 498
Fresh404
Picked415
Done000
Total1 480271 507
Accuracy
100.0%
Counts
1 507 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
40.1%
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (-.f64 (*.f64 x eps) x) #s(literal 1 binary64))
▶40.2%
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
52.9%
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
▶66.0%
(fma.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))))) #s(literal 1 binary64))
71.8%
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
40.0%
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
40.1%
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
66.3%
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64))
32.2%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
36.1%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) #s(literal -1 binary64))) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
69.1%
(*.f64 (*.f64 #s(literal 1/2 binary64) eps) (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) eps)))
64.9%
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
16.5%
(*.f64 x (exp.f64 (neg.f64 x)))
38.9%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (fma.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 (+.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 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
43.5%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (-.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))) (exp.f64 x))))
40.1%
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x x)))
59.3%
(*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) #s(literal -1 binary64))) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
53.7%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))
77.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))
▶84.4%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
▶56.9%
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
40.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
52.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
55.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
▶14.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
40.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
✓41.0%
#s(literal 1 binary64)
Compiler

Compiled 1 111 to 635 computations (42.8% saved)

simplify730.0ms (4.6%)

Memory
12.9MiB live, 602.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
✓cost-diff0
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
✓cost-diff128
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
✓cost-diff320
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))))
✓cost-diff320
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1/4 binary64))
✓cost-diff512
(*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
✓cost-diff2368
(fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))
✓cost-diff0
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))
✓cost-diff0
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓cost-diff0
(*.f64 x eps)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
✓cost-diff0
(*.f64 x eps)
✓cost-diff0
(exp.f64 (*.f64 x eps))
✓cost-diff0
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Rules
15 144×accelerator-lowering-fma.f32
15 144×accelerator-lowering-fma.f64
3 368×+-lowering-+.f64
3 368×+-lowering-+.f32
2 604×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042313
1137313
2490303
31817269
45431215
08423203
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* 1/2 (+ (exp (* x eps)) (exp (* x (- -1 eps)))))
1/2
(+ (exp (* x eps)) (exp (* x (- -1 eps))))
(exp (* x eps))
(* x eps)
x
eps
(exp (* x (- -1 eps)))
(* x (- -1 eps))
(- -1 eps)
-1
(* 1/2 (* x eps))
1/2
(* x eps)
x
eps
(+ (* (* x x) (+ (* x (+ (* x -1/8) 1/3)) -1/2)) 1)
(* x x)
x
(+ (* x (+ (* x -1/8) 1/3)) -1/2)
(+ (* x -1/8) 1/3)
-1/8
1/3
-1/2
1
(+ (* x (+ (* (* (+ 1 eps) (+ (* x eps) x)) (* (+ -1 (/ 1 eps)) -1/4)) (* 1/2 (+ (* (+ 1 eps) (+ -1 (/ 1 eps))) (* (+ eps -1) (+ 1 (/ 1 eps))))))) 1)
x
(+ (* (* (+ 1 eps) (+ (* x eps) x)) (* (+ -1 (/ 1 eps)) -1/4)) (* 1/2 (+ (* (+ 1 eps) (+ -1 (/ 1 eps))) (* (+ eps -1) (+ 1 (/ 1 eps))))))
(* (+ 1 eps) (+ (* x eps) x))
(+ 1 eps)
1
eps
(+ (* x eps) x)
(* (+ -1 (/ 1 eps)) -1/4)
(+ -1 (/ 1 eps))
-1
(/ 1 eps)
-1/4
(* 1/2 (+ (* (+ 1 eps) (+ -1 (/ 1 eps))) (* (+ eps -1) (+ 1 (/ 1 eps)))))
1/2
(+ (* (+ 1 eps) (+ -1 (/ 1 eps))) (* (+ eps -1) (+ 1 (/ 1 eps))))
(* (+ eps -1) (+ 1 (/ 1 eps)))
(+ eps -1)
(+ 1 (/ 1 eps))
(* 1/2 (+ 1 (exp (* x (- -1 eps)))))
1/2
(+ 1 (exp (* x (- -1 eps))))
1
(exp (* x (- -1 eps)))
(* x (- -1 eps))
x
(- -1 eps)
-1
eps
Outputs
(* 1/2 (+ (exp (* x eps)) (exp (* x (- -1 eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
1/2
#s(literal 1/2 binary64)
(+ (exp (* x eps)) (exp (* x (- -1 eps))))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(exp (* x eps))
(exp.f64 (*.f64 x eps))
(* x eps)
(*.f64 x eps)
x
eps
(exp (* x (- -1 eps)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(* x (- -1 eps))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
-1
#s(literal -1 binary64)
(* 1/2 (* x eps))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
1/2
#s(literal 1/2 binary64)
(* x eps)
(*.f64 x eps)
x
eps
(+ (* (* x x) (+ (* x (+ (* x -1/8) 1/3)) -1/2)) 1)
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* x x)
(*.f64 x x)
x
(+ (* x (+ (* x -1/8) 1/3)) -1/2)
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
(+ (* x -1/8) 1/3)
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))
-1/8
#s(literal -1/8 binary64)
1/3
#s(literal 1/3 binary64)
-1/2
#s(literal -1/2 binary64)
1
#s(literal 1 binary64)
(+ (* x (+ (* (* (+ 1 eps) (+ (* x eps) x)) (* (+ -1 (/ 1 eps)) -1/4)) (* 1/2 (+ (* (+ 1 eps) (+ -1 (/ 1 eps))) (* (+ eps -1) (+ 1 (/ 1 eps))))))) 1)
(fma.f64 x (*.f64 (fma.f64 x eps x) (*.f64 #s(literal -1/4 binary64) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps))) #s(literal 1 binary64))
x
(+ (* (* (+ 1 eps) (+ (* x eps) x)) (* (+ -1 (/ 1 eps)) -1/4)) (* 1/2 (+ (* (+ 1 eps) (+ -1 (/ 1 eps))) (* (+ eps -1) (+ 1 (/ 1 eps))))))
(*.f64 (fma.f64 x eps x) (*.f64 #s(literal -1/4 binary64) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps)))
(* (+ 1 eps) (+ (* x eps) x))
(fma.f64 x (*.f64 eps (+.f64 eps #s(literal 2 binary64))) x)
(+ 1 eps)
(+.f64 eps #s(literal 1 binary64))
1
#s(literal 1 binary64)
eps
(+ (* x eps) x)
(fma.f64 x eps x)
(* (+ -1 (/ 1 eps)) -1/4)
(+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 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)
-1/4
#s(literal -1/4 binary64)
(* 1/2 (+ (* (+ 1 eps) (+ -1 (/ 1 eps))) (* (+ eps -1) (+ 1 (/ 1 eps)))))
#s(literal 0 binary64)
1/2
#s(literal 1/2 binary64)
(+ (* (+ 1 eps) (+ -1 (/ 1 eps))) (* (+ eps -1) (+ 1 (/ 1 eps))))
#s(literal 0 binary64)
(* (+ eps -1) (+ 1 (/ 1 eps)))
(-.f64 eps (/.f64 #s(literal 1 binary64) eps))
(+ eps -1)
(+.f64 eps #s(literal -1 binary64))
(+ 1 (/ 1 eps))
(/.f64 (+.f64 eps #s(literal 1 binary64)) eps)
(* 1/2 (+ 1 (exp (* x (- -1 eps)))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ 1 (exp (* x (- -1 eps))))
(+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(exp (* x (- -1 eps)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(* x (- -1 eps))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
x
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
-1
#s(literal -1 binary64)
eps

localize310.0ms (2%)

Memory
4.2MiB live, 799.0MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
✓accuracy100.0%
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
✓accuracy100.0%
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
✓accuracy99.9%
(*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))
✓accuracy99.8%
(fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))))
✓accuracy98.1%
(fma.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))))) #s(literal 1 binary64))
✓accuracy97.0%
(fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))
✓accuracy100.0%
(fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64))
✓accuracy99.9%
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 x eps)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
✓accuracy100.0%
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
✓accuracy100.0%
(exp.f64 (*.f64 x eps))
✓accuracy100.0%
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
✓accuracy100.0%
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
Samples
125.0ms135×2valid
57.0ms76×1valid
46.0ms40×3valid
5.0ms2×4valid
4.0ms3×5exit
Compiler

Compiled 296 to 44 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 186.0ms
ival-mult: 69.0ms (37.1% of total)
adjust: 44.0ms (23.7% of total)
ival-add: 43.0ms (23.1% of total)
ival-exp: 13.0ms (7% of total)
const: 6.0ms (3.2% of total)
ival-div: 5.0ms (2.7% of total)
ival-sub: 4.0ms (2.2% of total)
exact: 1.0ms (0.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series37.0ms (0.2%)

Memory
12.5MiB live, 91.7MiB allocated
Counts
20 → 384
Calls
Call 1
Inputs
#<alt (* 1/2 (+ (exp (* x eps)) (exp (* x (- -1 eps)))))>
#<alt (+ (exp (* x eps)) (exp (* x (- -1 eps))))>
#<alt (exp (* x eps))>
#<alt (* x eps)>
#<alt (* 1/2 (* x eps))>
#<alt (+ (* (* x x) (+ (* x (+ (* x -1/8) 1/3)) -1/2)) 1)>
#<alt (* x x)>
#<alt (+ (* x (+ (* x -1/8) 1/3)) -1/2)>
#<alt (+ (* x -1/8) 1/3)>
#<alt (+ (* (+ 1 eps) (+ -1 (/ 1 eps))) (* (+ eps -1) (+ 1 (/ 1 eps))))>
#<alt (* (+ eps -1) (+ 1 (/ 1 eps)))>
#<alt (* (+ -1 (/ 1 eps)) -1/4)>
#<alt (* 1/2 (+ (* (+ 1 eps) (+ -1 (/ 1 eps))) (* (+ eps -1) (+ 1 (/ 1 eps)))))>
#<alt (* 1/2 (+ 1 (exp (* x (- -1 eps)))))>
#<alt (+ 1 (exp (* x (- -1 eps))))>
#<alt (exp (* x (- -1 eps)))>
#<alt (* x (- -1 eps))>
#<alt (+ (* x (+ (* (* (+ 1 eps) (+ (* x eps) x)) (* (+ -1 (/ 1 eps)) -1/4)) (* 1/2 (+ (* (+ 1 eps) (+ -1 (/ 1 eps))) (* (+ eps -1) (+ 1 (/ 1 eps))))))) 1)>
#<alt (+ (* (* (+ 1 eps) (+ (* x eps) x)) (* (+ -1 (/ 1 eps)) -1/4)) (* 1/2 (+ (* (+ 1 eps) (+ -1 (/ 1 eps))) (* (+ eps -1) (+ 1 (/ 1 eps))))))>
#<alt (* (+ 1 eps) (+ (* x eps) x))>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (+ eps (* -1 (+ 1 eps))))))>
#<alt (+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))) (* 1/2 (+ eps (* -1 (+ 1 eps)))))))>
#<alt (+ 1 (* x (+ (* 1/2 (+ eps (* -1 (+ 1 eps)))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3))))) (* 1/2 (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2)))))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ 1 (exp (* -1 x))))>
#<alt (+ (* 1/2 (* eps (+ x (* -1 (* x (exp (* -1 x))))))) (* 1/2 (+ 1 (exp (* -1 x)))))>
#<alt (+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2))))) (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))))))>
#<alt (+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2)))))))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))>
#<alt 2>
#<alt (+ 2 (* x (+ eps (* -1 (+ 1 eps)))))>
#<alt (+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))))))>
#<alt (+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (+ (* 1/2 (pow (+ 1 eps) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3)))))))))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ 1 (exp (* -1 x)))>
#<alt (+ 1 (+ (exp (* -1 x)) (* eps (+ x (* -1 (* x (exp (* -1 x))))))))>
#<alt (+ 1 (+ (exp (* -1 x)) (* eps (+ x (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2)))))))))>
#<alt (+ 1 (+ (exp (* -1 x)) (* eps (+ x (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (pow x 2)) (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))))))))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))>
#<alt (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))>
#<alt (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))>
#<alt (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))>
#<alt (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1))))>
#<alt 1>
#<alt (+ 1 (* eps x))>
#<alt (+ 1 (* x (+ eps (* 1/2 (* (pow eps 2) x)))))>
#<alt (+ 1 (* x (+ eps (* x (+ (* 1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2)))))))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt 1>
#<alt (+ 1 (* eps x))>
#<alt (+ 1 (* eps (+ x (* 1/2 (* eps (pow x 2))))))>
#<alt (+ 1 (* eps (+ x (* eps (+ (* 1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))>
#<alt (* -1/8 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/8))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 4))) (+ 1/8 (/ 1/2 (pow x 2)))))>
#<alt (* -1/8 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/8))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/8))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 (pow x 2)) 1/2) x)) 1/3) x)) 1/8))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt -1/2>
#<alt (- (* 1/3 x) 1/2)>
#<alt (- (* x (+ 1/3 (* -1/8 x))) 1/2)>
#<alt (- (* x (+ 1/3 (* -1/8 x))) 1/2)>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/8 (/ 1/2 (pow x 2)))))>
#<alt (* -1/8 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/8))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/8))>
#<alt (* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/8))>
#<alt 1/3>
#<alt (+ 1/3 (* -1/8 x))>
#<alt (+ 1/3 (* -1/8 x))>
#<alt (+ 1/3 (* -1/8 x))>
#<alt (* -1/8 x)>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/8))>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/8))>
#<alt (* x (- (* 1/3 (/ 1 x)) 1/8))>
#<alt (* -1/8 x)>
#<alt (* -1 (* x (- 1/8 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/8 (* 1/3 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/8 (* 1/3 (/ 1 x)))))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (/ -1 eps)>
#<alt (/ (- (pow eps 2) 1) eps)>
#<alt (/ (- (pow eps 2) 1) eps)>
#<alt (/ (- (pow eps 2) 1) eps)>
#<alt eps>
#<alt (* eps (- 1 (/ 1 (pow eps 2))))>
#<alt (* eps (- 1 (/ 1 (pow eps 2))))>
#<alt (* eps (- 1 (/ 1 (pow eps 2))))>
#<alt eps>
#<alt (* -1 (* eps (- (/ 1 (pow eps 2)) 1)))>
#<alt (* -1 (* eps (- (/ 1 (pow eps 2)) 1)))>
#<alt (* -1 (* eps (- (/ 1 (pow eps 2)) 1)))>
#<alt (/ -1/4 eps)>
#<alt (/ (- (* 1/4 eps) 1/4) eps)>
#<alt (/ (- (* 1/4 eps) 1/4) eps)>
#<alt (/ (- (* 1/4 eps) 1/4) eps)>
#<alt 1/4>
#<alt (- 1/4 (* 1/4 (/ 1 eps)))>
#<alt (- 1/4 (* 1/4 (/ 1 eps)))>
#<alt (- 1/4 (* 1/4 (/ 1 eps)))>
#<alt 1/4>
#<alt (- 1/4 (* 1/4 (/ 1 eps)))>
#<alt (- 1/4 (* 1/4 (/ 1 eps)))>
#<alt (- 1/4 (* 1/4 (/ 1 eps)))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 1>
#<alt (+ 1 (* -1/2 (* x (+ 1 eps))))>
#<alt (+ 1 (* x (+ (* -1/2 (+ 1 eps)) (* 1/4 (* x (pow (+ 1 eps) 2))))))>
#<alt (+ 1 (* x (+ (* -1/2 (+ 1 eps)) (* x (+ (* -1/12 (* x (pow (+ 1 eps) 3))) (* 1/4 (pow (+ 1 eps) 2)))))))>
#<alt (* 1/2 (+ 1 (exp (* -1 (* x (+ 1 eps))))))>
#<alt (* 1/2 (+ 1 (exp (* -1 (* x (+ 1 eps))))))>
#<alt (* 1/2 (+ 1 (exp (* -1 (* x (+ 1 eps))))))>
#<alt (* 1/2 (+ 1 (exp (* -1 (* x (+ 1 eps))))))>
#<alt (* 1/2 (+ 1 (exp (* -1 (* x (+ 1 eps))))))>
#<alt (* 1/2 (+ 1 (exp (* -1 (* x (+ 1 eps))))))>
#<alt (* 1/2 (+ 1 (exp (* -1 (* x (+ 1 eps))))))>
#<alt (* 1/2 (+ 1 (exp (* -1 (* x (+ 1 eps))))))>
#<alt (* 1/2 (+ 1 (exp (* -1 x))))>
#<alt (+ (* -1/2 (* eps (* x (exp (* -1 x))))) (* 1/2 (+ 1 (exp (* -1 x)))))>
#<alt (+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* -1/2 (* x (exp (* -1 x)))) (* 1/4 (* eps (* (pow x 2) (exp (* -1 x))))))))>
#<alt (+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* -1/2 (* x (exp (* -1 x)))) (* eps (+ (* -1/12 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/4 (* (pow x 2) (exp (* -1 x)))))))))>
#<alt (* 1/2 (+ 1 (exp (* -1 (* x (+ 1 eps))))))>
#<alt (* 1/2 (+ 1 (exp (* -1 (* x (+ 1 eps))))))>
#<alt (* 1/2 (+ 1 (exp (* -1 (* x (+ 1 eps))))))>
#<alt (* 1/2 (+ 1 (exp (* -1 (* x (+ 1 eps))))))>
#<alt (* 1/2 (+ 1 (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ 1 (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ 1 (exp (* x (- (* -1 eps) 1)))))>
#<alt (* 1/2 (+ 1 (exp (* x (- (* -1 eps) 1)))))>
#<alt 2>
#<alt (+ 2 (* -1 (* x (+ 1 eps))))>
#<alt (+ 2 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))>
#<alt (+ 2 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))>
#<alt (+ 1 (exp (* -1 (* x (+ 1 eps)))))>
#<alt (+ 1 (exp (* -1 (* x (+ 1 eps)))))>
#<alt (+ 1 (exp (* -1 (* x (+ 1 eps)))))>
#<alt (+ 1 (exp (* -1 (* x (+ 1 eps)))))>
#<alt (+ 1 (exp (* -1 (* x (+ 1 eps)))))>
#<alt (+ 1 (exp (* -1 (* x (+ 1 eps)))))>
#<alt (+ 1 (exp (* -1 (* x (+ 1 eps)))))>
#<alt (+ 1 (exp (* -1 (* x (+ 1 eps)))))>
#<alt (+ 1 (exp (* -1 x)))>
#<alt (+ 1 (+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x)))))))>
#<alt (+ 1 (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x)))))))))>
#<alt (+ 1 (+ (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 (+ 1 (exp (* -1 (* x (+ 1 eps)))))>
#<alt (+ 1 (exp (* -1 (* x (+ 1 eps)))))>
#<alt (+ 1 (exp (* -1 (* x (+ 1 eps)))))>
#<alt (+ 1 (exp (* -1 (* x (+ 1 eps)))))>
#<alt (+ 1 (exp (* x (- (* -1 eps) 1))))>
#<alt (+ 1 (exp (* x (- (* -1 eps) 1))))>
#<alt (+ 1 (exp (* x (- (* -1 eps) 1))))>
#<alt (+ 1 (exp (* x (- (* -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 (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 (* x (+ 1 eps)))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (+ (* -1 x) (* -1 (* eps x)))>
#<alt (* -1 (* eps x))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* eps (+ (* -1 x) (* -1 (/ x eps))))>
#<alt (* -1 (* eps x))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<alt (* -1 (* eps (+ x (/ x eps))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))))>
#<alt (+ 1 (* x (+ (* -1/4 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))) (* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))))>
#<alt (+ 1 (* x (+ (* -1/4 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))) (* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))))>
#<alt (* -1/4 (* (pow x 2) (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))>
#<alt (* (pow x 2) (+ (* -1/4 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/2 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x))))>
#<alt (* (pow x 2) (+ (* -1/4 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* 1/2 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ (* -1/4 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* 1/2 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (/ 1 (pow x 2)))))>
#<alt (* 1/4 (* (pow x 2) (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))>
#<alt (* (pow x 2) (+ (* 1/4 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))) (* 1/2 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x)) x)) (* 1/4 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1))))))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* -1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x)) x)) (* 1/4 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1))))))>
#<alt (* -1/4 (/ (pow x 2) eps))>
#<alt (/ (+ (* -1/4 (pow x 2)) (* eps (+ 1 (* -1/4 (* x (+ (* -1 x) (* 2 x))))))) eps)>
#<alt (/ (+ (* -1/4 (pow x 2)) (* eps (+ 1 (+ (* -1/4 (* eps (* x (+ x (* -2 x))))) (* -1/4 (* x (+ (* -1 x) (* 2 x)))))))) eps)>
#<alt (/ (+ (* -1/4 (pow x 2)) (* eps (+ 1 (+ (* -1/4 (* x (+ (* -1 x) (* 2 x)))) (* eps (+ (* -1/4 (* x (+ x (* -2 x)))) (* 1/4 (* eps (pow x 2))))))))) eps)>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* -1/4 (/ (* x (+ x (* -2 x))) eps)) (* 1/4 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1/4 (/ (* x (+ x (* -2 x))) eps)) (+ (* -1/4 (/ (* x (+ (* -1 x) (* 2 x))) (pow eps 2))) (+ (* 1/4 (pow x 2)) (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 2) (+ (* -1/4 (/ (* x (+ x (* -2 x))) eps)) (+ (* -1/4 (/ (* x (+ (* -1 x) (* 2 x))) (pow eps 2))) (+ (* -1/4 (/ (pow x 2) (pow eps 3))) (+ (* 1/4 (pow x 2)) (/ 1 (pow eps 2)))))))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/4 (/ (pow x 2) eps)) (* 1/4 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/4 (pow x 2))) eps)) (* -1/4 (pow x 2))) eps)) (* 1/4 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1/4 (/ (pow x 2) eps)) (* -1/4 (pow x 2)))) eps)) (* -1/4 (pow x 2))) eps)) (* 1/4 (pow x 2))))>
#<alt (* -1/4 (/ x eps))>
#<alt (/ (+ (* -1/4 x) (* -1/4 (* eps (+ (* -1 x) (* 2 x))))) eps)>
#<alt (/ (+ (* -1/4 x) (* eps (+ (* -1/4 (* eps (+ x (* -2 x)))) (* -1/4 (+ (* -1 x) (* 2 x)))))) eps)>
#<alt (/ (+ (* -1/4 x) (* eps (+ (* -1/4 (+ (* -1 x) (* 2 x))) (* eps (+ (* -1/4 (+ x (* -2 x))) (* 1/4 (* eps x))))))) eps)>
#<alt (* 1/4 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* -1/4 (/ (+ x (* -2 x)) eps)) (* 1/4 x)))>
#<alt (* (pow eps 2) (+ (* -1/4 (/ (+ x (* -2 x)) eps)) (+ (* -1/4 (/ (+ (* -1 x) (* 2 x)) (pow eps 2))) (* 1/4 x))))>
#<alt (* (pow eps 2) (+ (* -1/4 (/ x (pow eps 3))) (+ (* -1/4 (/ (+ x (* -2 x)) eps)) (+ (* -1/4 (/ (+ (* -1 x) (* 2 x)) (pow eps 2))) (* 1/4 x)))))>
#<alt (* 1/4 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* 1/4 x) (* 1/4 (/ x eps))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1/4 x) (* 1/4 (/ x eps))) eps)) (* 1/4 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 x) (* -1/4 (/ x eps))) eps)) (* -1/4 x)) eps)) (* 1/4 x)))>
#<alt (* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))>
#<alt (+ (* -1/4 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))) (* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))>
#<alt (+ (* -1/4 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))) (* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))>
#<alt (+ (* -1/4 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))) (* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))>
#<alt (* -1/4 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))>
#<alt (* x (+ (* -1/4 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/2 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x))))>
#<alt (* x (+ (* -1/4 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/2 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x))))>
#<alt (* x (+ (* -1/4 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/2 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x))))>
#<alt (* 1/4 (* x (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))>
#<alt (* -1 (* x (+ (* -1/2 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (* -1/4 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))>
#<alt (* -1 (* x (+ (* -1/2 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (* -1/4 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))>
#<alt (* -1 (* x (+ (* -1/2 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (* -1/4 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))>
#<alt x>
#<alt (+ x (* 2 (* eps x)))>
#<alt (+ x (* eps (+ (* 2 x) (* eps x))))>
#<alt (+ x (* eps (+ (* 2 x) (* eps x))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* 2 (/ x eps))))>
#<alt (* (pow eps 2) (+ x (+ (* 2 (/ x eps)) (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) (+ x (+ (* 2 (/ x eps)) (/ x (pow eps 2)))))>
#<alt (* (pow eps 2) x)>
#<alt (* (pow eps 2) (+ x (* 2 (/ x eps))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ (+ (* -2 x) (* -1 (/ x eps))) eps))))>
#<alt (* (pow eps 2) (+ x (* -1 (/ (+ (* -2 x) (* -1 (/ x eps))) eps))))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* x (pow (+ 1 eps) 2))>
#<alt (* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))>
#<alt (* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))>
#<alt (* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))>
#<alt (* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))>
Calls

96 calls:

TimeVariablePointExpression
5.0ms
x
@0
(+ (* x (+ (* x -1/8) 1/3)) -1/2)
2.0ms
eps
@-inf
(+ (* (* (+ 1 eps) (+ (* x eps) x)) (* (+ -1 (/ 1 eps)) -1/4)) (* 1/2 (+ (* (+ 1 eps) (+ -1 (/ 1 eps))) (* (+ eps -1) (+ 1 (/ 1 eps))))))
1.0ms
x
@inf
(+ 1 (exp (* x (- -1 eps))))
1.0ms
eps
@-inf
(+ (* (+ 1 eps) (+ -1 (/ 1 eps))) (* (+ eps -1) (+ 1 (/ 1 eps))))
1.0ms
eps
@0
(+ (* (+ 1 eps) (+ -1 (/ 1 eps))) (* (+ eps -1) (+ 1 (/ 1 eps))))

rewrite411.0ms (2.6%)

Memory
-7.2MiB live, 974.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 062×accelerator-lowering-fma.f32
6 062×accelerator-lowering-fma.f64
4 472×*-lowering-*.f32
4 472×*-lowering-*.f64
4 098×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042244
1294244
22977244
09994224
Stop Event
1×iter limit
1×node limit
Counts
20 → 639
Calls
Call 1
Inputs
(* 1/2 (+ (exp (* x eps)) (exp (* x (- -1 eps)))))
(+ (exp (* x eps)) (exp (* x (- -1 eps))))
(exp (* x eps))
(* x eps)
(* 1/2 (* x eps))
(+ (* (* x x) (+ (* x (+ (* x -1/8) 1/3)) -1/2)) 1)
(* x x)
(+ (* x (+ (* x -1/8) 1/3)) -1/2)
(+ (* x -1/8) 1/3)
(+ (* (+ 1 eps) (+ -1 (/ 1 eps))) (* (+ eps -1) (+ 1 (/ 1 eps))))
(* (+ eps -1) (+ 1 (/ 1 eps)))
(* (+ -1 (/ 1 eps)) -1/4)
(* 1/2 (+ (* (+ 1 eps) (+ -1 (/ 1 eps))) (* (+ eps -1) (+ 1 (/ 1 eps)))))
(* 1/2 (+ 1 (exp (* x (- -1 eps)))))
(+ 1 (exp (* x (- -1 eps))))
(exp (* x (- -1 eps)))
(* x (- -1 eps))
(+ (* x (+ (* (* (+ 1 eps) (+ (* x eps) x)) (* (+ -1 (/ 1 eps)) -1/4)) (* 1/2 (+ (* (+ 1 eps) (+ -1 (/ 1 eps))) (* (+ eps -1) (+ 1 (/ 1 eps))))))) 1)
(+ (* (* (+ 1 eps) (+ (* x eps) x)) (* (+ -1 (/ 1 eps)) -1/4)) (* 1/2 (+ (* (+ 1 eps) (+ -1 (/ 1 eps))) (* (+ eps -1) (+ 1 (/ 1 eps))))))
(* (+ 1 eps) (+ (* x eps) x))
Outputs
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(fma.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
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(*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 x eps x))
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simplify584.0ms (3.7%)

Memory
-26.8MiB live, 756.9MiB allocated
Algorithm
1×egg-herbie
Rules
15 860×accelerator-lowering-fma.f32
15 860×accelerator-lowering-fma.f64
6 128×*-lowering-*.f32
6 128×*-lowering-*.f64
3 792×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04774188
116123989
254433815
083243626
Stop Event
1×iter limit
1×node limit
Counts
384 → 384
Calls
Call 1
Inputs
1
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(+ 1 (exp (* -1 (* x (+ 1 eps)))))
(+ 1 (exp (* -1 x)))
(+ 1 (+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x)))))))
(+ 1 (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x)))))))))
(+ 1 (+ (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))))))))))
(+ 1 (exp (* -1 (* x (+ 1 eps)))))
(+ 1 (exp (* -1 (* x (+ 1 eps)))))
(+ 1 (exp (* -1 (* x (+ 1 eps)))))
(+ 1 (exp (* -1 (* x (+ 1 eps)))))
(+ 1 (exp (* x (- (* -1 eps) 1))))
(+ 1 (exp (* x (- (* -1 eps) 1))))
(+ 1 (exp (* x (- (* -1 eps) 1))))
(+ 1 (exp (* x (- (* -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)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 (* x (+ 1 eps)))
(* -1 x)
(+ (* -1 x) (* -1 (* eps x)))
(+ (* -1 x) (* -1 (* eps x)))
(+ (* -1 x) (* -1 (* eps x)))
(* -1 (* eps x))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* eps (+ (* -1 x) (* -1 (/ x eps))))
(* -1 (* eps x))
(* -1 (* eps (+ x (/ x eps))))
(* -1 (* eps (+ x (/ x eps))))
(* -1 (* eps (+ x (/ x eps))))
1
(+ 1 (* 1/2 (* x (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))))
(+ 1 (* x (+ (* -1/4 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))) (* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))))
(+ 1 (* x (+ (* -1/4 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))) (* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))))
(* -1/4 (* (pow x 2) (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(* (pow x 2) (+ (* -1/4 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/2 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x))))
(* (pow x 2) (+ (* -1/4 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* 1/2 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ (* -1/4 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (+ (* 1/2 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (/ 1 (pow x 2)))))
(* 1/4 (* (pow x 2) (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))
(* (pow x 2) (+ (* 1/4 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))) (* 1/2 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x)) x)) (* 1/4 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1))))))
(* (pow x 2) (+ (* -1 (/ (- (* -1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))) (/ 1 x)) x)) (* 1/4 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1))))))
(* -1/4 (/ (pow x 2) eps))
(/ (+ (* -1/4 (pow x 2)) (* eps (+ 1 (* -1/4 (* x (+ (* -1 x) (* 2 x))))))) eps)
(/ (+ (* -1/4 (pow x 2)) (* eps (+ 1 (+ (* -1/4 (* eps (* x (+ x (* -2 x))))) (* -1/4 (* x (+ (* -1 x) (* 2 x)))))))) eps)
(/ (+ (* -1/4 (pow x 2)) (* eps (+ 1 (+ (* -1/4 (* x (+ (* -1 x) (* 2 x)))) (* eps (+ (* -1/4 (* x (+ x (* -2 x)))) (* 1/4 (* eps (pow x 2))))))))) eps)
(* 1/4 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* -1/4 (/ (* x (+ x (* -2 x))) eps)) (* 1/4 (pow x 2))))
(* (pow eps 2) (+ (* -1/4 (/ (* x (+ x (* -2 x))) eps)) (+ (* -1/4 (/ (* x (+ (* -1 x) (* 2 x))) (pow eps 2))) (+ (* 1/4 (pow x 2)) (/ 1 (pow eps 2))))))
(* (pow eps 2) (+ (* -1/4 (/ (* x (+ x (* -2 x))) eps)) (+ (* -1/4 (/ (* x (+ (* -1 x) (* 2 x))) (pow eps 2))) (+ (* -1/4 (/ (pow x 2) (pow eps 3))) (+ (* 1/4 (pow x 2)) (/ 1 (pow eps 2)))))))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/4 (/ (pow x 2) eps)) (* 1/4 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/4 (pow x 2))) eps)) (* -1/4 (pow x 2))) eps)) (* 1/4 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1/4 (/ (pow x 2) eps)) (* -1/4 (pow x 2)))) eps)) (* -1/4 (pow x 2))) eps)) (* 1/4 (pow x 2))))
(* -1/4 (/ x eps))
(/ (+ (* -1/4 x) (* -1/4 (* eps (+ (* -1 x) (* 2 x))))) eps)
(/ (+ (* -1/4 x) (* eps (+ (* -1/4 (* eps (+ x (* -2 x)))) (* -1/4 (+ (* -1 x) (* 2 x)))))) eps)
(/ (+ (* -1/4 x) (* eps (+ (* -1/4 (+ (* -1 x) (* 2 x))) (* eps (+ (* -1/4 (+ x (* -2 x))) (* 1/4 (* eps x))))))) eps)
(* 1/4 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1/4 (/ (+ x (* -2 x)) eps)) (* 1/4 x)))
(* (pow eps 2) (+ (* -1/4 (/ (+ x (* -2 x)) eps)) (+ (* -1/4 (/ (+ (* -1 x) (* 2 x)) (pow eps 2))) (* 1/4 x))))
(* (pow eps 2) (+ (* -1/4 (/ x (pow eps 3))) (+ (* -1/4 (/ (+ x (* -2 x)) eps)) (+ (* -1/4 (/ (+ (* -1 x) (* 2 x)) (pow eps 2))) (* 1/4 x)))))
(* 1/4 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 1/4 x) (* 1/4 (/ x eps))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1/4 x) (* 1/4 (/ x eps))) eps)) (* 1/4 x)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 x) (* -1/4 (/ x eps))) eps)) (* -1/4 x)) eps)) (* 1/4 x)))
(* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))
(+ (* -1/4 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))) (* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))
(+ (* -1/4 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))) (* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))
(+ (* -1/4 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))) (* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))
(* -1/4 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(* x (+ (* -1/4 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/2 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x))))
(* x (+ (* -1/4 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/2 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x))))
(* x (+ (* -1/4 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/2 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x))))
(* 1/4 (* x (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))
(* -1 (* x (+ (* -1/2 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (* -1/4 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))
(* -1 (* x (+ (* -1/2 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (* -1/4 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))
(* -1 (* x (+ (* -1/2 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (* -1/4 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))
x
(+ x (* 2 (* eps x)))
(+ x (* eps (+ (* 2 x) (* eps x))))
(+ x (* eps (+ (* 2 x) (* eps x))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* 2 (/ x eps))))
(* (pow eps 2) (+ x (+ (* 2 (/ x eps)) (/ x (pow eps 2)))))
(* (pow eps 2) (+ x (+ (* 2 (/ x eps)) (/ x (pow eps 2)))))
(* (pow eps 2) x)
(* (pow eps 2) (+ x (* 2 (/ x eps))))
(* (pow eps 2) (+ x (* -1 (/ (+ (* -2 x) (* -1 (/ x eps))) eps))))
(* (pow eps 2) (+ x (* -1 (/ (+ (* -2 x) (* -1 (/ x eps))) eps))))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* x (pow (+ 1 eps) 2))
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (+ eps (* -1 (+ 1 eps))))))
(fma.f64 (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))) (* 1/2 (+ eps (* -1 (+ 1 eps)))))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 x #s(literal 1/4 binary64)) (fma.f64 eps eps (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (+ eps (* -1 (+ 1 eps)))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3))))) (* 1/2 (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2)))))))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 1/6 binary64) x)))) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ 1 (exp (* -1 x))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x)) #s(literal 1/2 binary64))
(+ (* 1/2 (* eps (+ x (* -1 (* x (exp (* -1 x))))))) (* 1/2 (+ 1 (exp (* -1 x)))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x eps (fma.f64 (fma.f64 x (neg.f64 eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64))))
(+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2))))) (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))))))
(fma.f64 eps (*.f64 (*.f64 eps (*.f64 x x)) (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 x eps (fma.f64 (fma.f64 x (neg.f64 eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))))
(+ (* 1/2 (+ 1 (exp (* -1 x)))) (* eps (+ (* 1/2 (+ x (* -1 (* x (exp (* -1 x)))))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))) (* 1/2 (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2)))))))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x eps (fma.f64 (fma.f64 x (neg.f64 eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64))) (*.f64 (*.f64 eps eps) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x (*.f64 eps (*.f64 x x))) (fma.f64 (exp.f64 (neg.f64 x)) #s(literal -1/6 binary64) #s(literal 1/6 binary64))) (*.f64 (*.f64 x x) (fma.f64 (exp.f64 (neg.f64 x)) #s(literal 1/4 binary64) #s(literal 1/4 binary64))))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* eps x)) (exp (* x (- (* -1 eps) 1)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 x eps))))
2
#s(literal 2 binary64)
(+ 2 (* x (+ eps (* -1 (+ 1 eps)))))
(fma.f64 x (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal 2 binary64))
(+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (* 1/2 (pow (+ 1 eps) 2))))))))
(fma.f64 x (+.f64 eps (-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 eps eps (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) #s(literal -1 binary64)) eps)) #s(literal 2 binary64))
(+ 2 (* x (+ eps (+ (* -1 (+ 1 eps)) (* x (+ (* 1/2 (pow eps 2)) (+ (* 1/2 (pow (+ 1 eps) 2)) (* x (+ (* -1/6 (pow (+ 1 eps) 3)) (* 1/6 (pow eps 3)))))))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 1/6 binary64) x)))) (-.f64 eps (+.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 x eps)))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
(+.f64 (exp.f64 (neg.f64 (fma.f64 x eps x))) (exp.f64 (*.f64 x eps)))
(+ 1 (exp (* -1 x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(+ 1 (+ (exp (* -1 x)) (* eps (+ x (* -1 (* x (exp (* -1 x))))))))
(fma.f64 x eps (fma.f64 (fma.f64 x (neg.f64 eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 x)) #s(literal 1 binary64)))
(+ 1 (+ (exp (* -1 x)) (* eps (+ x (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* 1/2 (pow x 2)))))))))
(fma.f64 eps (+.f64 x (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x)) (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
(+ 1 (+ (exp (* -1 x)) (* eps (+ x (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (pow x 2)) (* eps (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (* 1/6 (pow x 3))))))))))))
(fma.f64 eps (+.f64 x (fma.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x x)) (neg.f64 x)) (*.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 (*.f64 x (*.f64 eps (*.f64 x x))) (fma.f64 (exp.f64 (neg.f64 x)) #s(literal -1/6 binary64) #s(literal 1/6 binary64))))))) (+.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x))))
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* eps x)))
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(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/4 (pow x 2))) eps)) (* -1/4 (pow x 2))) eps)) (* 1/4 (pow x 2))))
(*.f64 (*.f64 eps eps) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) eps)) (neg.f64 eps))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1/4 (/ (pow x 2) eps)) (* -1/4 (pow x 2)))) eps)) (* -1/4 (pow x 2))) eps)) (* 1/4 (pow x 2))))
(*.f64 (*.f64 eps eps) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) (/.f64 (-.f64 (*.f64 x (*.f64 x #s(literal -1/4 binary64))) (/.f64 (fma.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal -1/4 binary64) eps) #s(literal -1/4 binary64)) #s(literal 1 binary64)) eps)) eps)))
(* -1/4 (/ x eps))
(/.f64 (*.f64 x #s(literal -1/4 binary64)) eps)
(/ (+ (* -1/4 x) (* -1/4 (* eps (+ (* -1 x) (* 2 x))))) eps)
(/.f64 (*.f64 x (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/4 binary64))) eps)
(/ (+ (* -1/4 x) (* eps (+ (* -1/4 (* eps (+ x (* -2 x)))) (* -1/4 (+ (* -1 x) (* 2 x)))))) eps)
(/.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 (-.f64 x (*.f64 x eps)) eps x)) eps)
(/ (+ (* -1/4 x) (* eps (+ (* -1/4 (+ (* -1 x) (* 2 x))) (* eps (+ (* -1/4 (+ x (* -2 x))) (* 1/4 (* eps x))))))) eps)
(/.f64 (fma.f64 x (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (*.f64 eps (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))) eps)
(* 1/4 (* (pow eps 2) x))
(*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))
(* (pow eps 2) (+ (* -1/4 (/ (+ x (* -2 x)) eps)) (* 1/4 x)))
(*.f64 eps (*.f64 eps (*.f64 x (+.f64 (/.f64 #s(literal 1/4 binary64) eps) #s(literal 1/4 binary64)))))
(* (pow eps 2) (+ (* -1/4 (/ (+ x (* -2 x)) eps)) (+ (* -1/4 (/ (+ (* -1 x) (* 2 x)) (pow eps 2))) (* 1/4 x))))
(*.f64 (*.f64 eps eps) (fma.f64 (/.f64 x eps) (+.f64 (/.f64 #s(literal -1/4 binary64) eps) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/4 binary64))))
(* (pow eps 2) (+ (* -1/4 (/ x (pow eps 3))) (+ (* -1/4 (/ (+ x (* -2 x)) eps)) (+ (* -1/4 (/ (+ (* -1 x) (* 2 x)) (pow eps 2))) (* 1/4 x)))))
(*.f64 (*.f64 eps eps) (fma.f64 (/.f64 x eps) (+.f64 (/.f64 #s(literal -1/4 binary64) eps) #s(literal 1/4 binary64)) (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/4 binary64) (*.f64 eps (*.f64 eps eps)))))))
(* 1/4 (* (pow eps 2) x))
(*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))
(* (pow eps 2) (+ (* 1/4 x) (* 1/4 (/ x eps))))
(*.f64 eps (*.f64 eps (*.f64 x (+.f64 (/.f64 #s(literal 1/4 binary64) eps) #s(literal 1/4 binary64)))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1/4 x) (* 1/4 (/ x eps))) eps)) (* 1/4 x)))
(*.f64 (*.f64 eps eps) (fma.f64 x #s(literal 1/4 binary64) (/.f64 (*.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/4 binary64) eps))) (neg.f64 eps))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 x) (* -1/4 (/ x eps))) eps)) (* -1/4 x)) eps)) (* 1/4 x)))
(*.f64 (*.f64 eps eps) (fma.f64 x #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal -1/4 binary64) (-.f64 x (/.f64 (+.f64 x (/.f64 x eps)) eps))) (neg.f64 eps))))
(* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))))
(+ (* -1/4 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))) (* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))
(fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal -1/4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(+ (* -1/4 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))) (* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))
(fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal -1/4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(+ (* -1/4 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1)))) (* 1/2 (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1)))))
(fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal -1/4 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(* -1/4 (* x (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))
(*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))
(* x (+ (* -1/4 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/2 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x))))
(*.f64 x (fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (+.f64 #s(literal 1 binary64) eps)))))
(* x (+ (* -1/4 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/2 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x))))
(*.f64 x (fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (+.f64 #s(literal 1 binary64) eps)))))
(* x (+ (* -1/4 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))) (* 1/2 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x))))
(*.f64 x (fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (+.f64 #s(literal 1 binary64) eps)))))
(* 1/4 (* x (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (fma.f64 x eps x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))))
(* -1 (* x (+ (* -1/2 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (* -1/4 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) x) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/4 binary64)))))
(* -1 (* x (+ (* -1/2 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (* -1/4 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) x) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/4 binary64)))))
(* -1 (* x (+ (* -1/2 (/ (+ (* (+ 1 eps) (- (/ 1 eps) 1)) (* (+ 1 (/ 1 eps)) (- eps 1))) x)) (* -1/4 (* (+ 1 eps) (* (- (* -1 eps) 1) (- (/ 1 eps) 1)))))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))) x) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/4 binary64)))))
x
(+ x (* 2 (* eps x)))
(fma.f64 x (*.f64 eps #s(literal 2 binary64)) x)
(+ x (* eps (+ (* 2 x) (* eps x))))
(fma.f64 (*.f64 x eps) (+.f64 eps #s(literal 2 binary64)) x)
(+ x (* eps (+ (* 2 x) (* eps x))))
(fma.f64 (*.f64 x eps) (+.f64 eps #s(literal 2 binary64)) x)
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) (+ x (* 2 (/ x eps))))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) x) eps) eps)
(* (pow eps 2) (+ x (+ (* 2 (/ x eps)) (/ x (pow eps 2)))))
(*.f64 (*.f64 eps eps) (fma.f64 (/.f64 x eps) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) x))
(* (pow eps 2) (+ x (+ (* 2 (/ x eps)) (/ x (pow eps 2)))))
(*.f64 (*.f64 eps eps) (fma.f64 (/.f64 x eps) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) eps)) x))
(* (pow eps 2) x)
(*.f64 x (*.f64 eps eps))
(* (pow eps 2) (+ x (* 2 (/ x eps))))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x eps) x) eps) eps)
(* (pow eps 2) (+ x (* -1 (/ (+ (* -2 x) (* -1 (/ x eps))) eps))))
(*.f64 eps (*.f64 eps (-.f64 x (/.f64 (fma.f64 x #s(literal -2 binary64) (/.f64 (neg.f64 x) eps)) eps))))
(* (pow eps 2) (+ x (* -1 (/ (+ (* -2 x) (* -1 (/ x eps))) eps))))
(*.f64 eps (*.f64 eps (-.f64 x (/.f64 (fma.f64 x #s(literal -2 binary64) (/.f64 (neg.f64 x) eps)) eps))))
(* x (pow (+ 1 eps) 2))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))
(* x (pow (+ 1 eps) 2))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))
(* x (pow (+ 1 eps) 2))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))
(* x (pow (+ 1 eps) 2))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))
(* x (pow (+ 1 eps) 2))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))
(* x (pow (+ 1 eps) 2))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))
(* x (pow (+ 1 eps) 2))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))
(* x (pow (+ 1 eps) 2))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))
(* -1 (* x (* (+ 1 eps) (- (* -1 eps) 1))))
(*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))

eval235.0ms (1.5%)

Memory
7.6MiB live, 314.1MiB allocated
Compiler

Compiled 40 889 to 3 243 computations (92.1% saved)

prune294.0ms (1.9%)

Memory
1.8MiB live, 334.3MiB allocated
Pruning

32 alts after pruning (29 fresh and 3 done)

PrunedKeptTotal
New1 148181 166
Fresh101121
Picked325
Done011
Total1 161321 193
Accuracy
100.0%
Counts
1 193 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.4%
(fma.f64 (fma.f64 x eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))
✓40.2%
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
52.9%
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
▶40.1%
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
56.9%
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
50.7%
(fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/12 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/4 binary64))) (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
71.8%
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 x #s(literal 1/4 binary64)) (fma.f64 eps eps (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) #s(literal 1 binary64))
▶69.8%
(fma.f64 x (/.f64 (fma.f64 x (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (*.f64 eps (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))) eps) #s(literal 1 binary64))
70.5%
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
72.2%
(fma.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) #s(literal 1 binary64))
71.7%
(fma.f64 x (*.f64 eps (*.f64 eps (*.f64 x (+.f64 (/.f64 #s(literal 1/4 binary64) eps) #s(literal 1/4 binary64))))) #s(literal 1 binary64))
39.7%
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 1/6 binary64) x)))) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64))
56.4%
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) (*.f64 eps (fma.f64 x (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))) eps)
32.2%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
36.1%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) #s(literal -1 binary64))) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
36.0%
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1/4 binary64) eps) #s(literal 1/4 binary64)))))
69.1%
(*.f64 (*.f64 #s(literal 1/2 binary64) eps) (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) eps)))
32.2%
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)))
64.9%
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
16.5%
(*.f64 x (exp.f64 (neg.f64 x)))
38.9%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (fma.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 (+.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 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
43.5%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (-.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))) (exp.f64 x))))
64.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
77.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 1 binary64))))
▶84.8%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps)))))
▶66.6%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
▶40.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
55.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
✓14.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
40.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
45.5%
(*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
✓41.0%
#s(literal 1 binary64)
Compiler

Compiled 1 200 to 690 computations (42.5% saved)

simplify613.0ms (3.9%)

Memory
-0.4MiB live, 790.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x eps)
✓cost-diff0
(exp.f64 (*.f64 x eps))
✓cost-diff0
(+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64))
✓cost-diff128
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
✓cost-diff0
(fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/4 binary64))
✓cost-diff0
(/.f64 (fma.f64 x (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (*.f64 eps (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))) eps)
✓cost-diff0
(fma.f64 x (/.f64 (fma.f64 x (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (*.f64 eps (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))) eps) #s(literal 1 binary64))
✓cost-diff704
(fma.f64 x (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (*.f64 eps (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64))))))
✓cost-diff0
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓cost-diff0
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
✓cost-diff0
(*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
✓cost-diff512
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
✓cost-diff0
(*.f64 x eps)
✓cost-diff0
(exp.f64 (*.f64 x eps))
✓cost-diff0
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps))))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps)))))
Rules
14 722×accelerator-lowering-fma.f32
14 722×accelerator-lowering-fma.f64
3 944×--lowering--.f32
3 944×--lowering--.f64
3 344×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044269
1135269
2372263
31134247
44680247
55152247
08287219
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* 1/2 (+ (exp (* x eps)) (exp (* x (neg eps)))))
1/2
(+ (exp (* x eps)) (exp (* x (neg eps))))
(exp (* x eps))
(* x eps)
x
eps
(exp (* x (neg eps)))
(* x (neg eps))
(neg eps)
(+ (* (* x x) -1/2) 1)
(* x x)
x
-1/2
1
(* 1/2 (* (+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1) (+ (+ x 2) x)))
1/2
(* (+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1) (+ (+ x 2) x))
(+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1)
x
(+ (* x (+ (* x -1/6) 1/2)) -1)
(+ (* x -1/6) 1/2)
-1/6
-1
1
(+ (+ x 2) x)
(+ x 2)
2
(+ (* x (/ (+ (* x (+ (* eps -1/4) -1/4)) (* eps (* eps (* x (+ (* eps 1/4) 1/4))))) eps)) 1)
x
(/ (+ (* x (+ (* eps -1/4) -1/4)) (* eps (* eps (* x (+ (* eps 1/4) 1/4))))) eps)
(+ (* x (+ (* eps -1/4) -1/4)) (* eps (* eps (* x (+ (* eps 1/4) 1/4)))))
(+ (* eps -1/4) -1/4)
eps
-1/4
(* eps (* eps (* x (+ (* eps 1/4) 1/4))))
(* eps (* x (+ (* eps 1/4) 1/4)))
(* x (+ (* eps 1/4) 1/4))
(+ (* eps 1/4) 1/4)
1/4
1
(* 1/2 (+ (exp (* x eps)) 1))
1/2
(+ (exp (* x eps)) 1)
(exp (* x eps))
(* x eps)
x
eps
1
Outputs
(* 1/2 (+ (exp (* x eps)) (exp (* x (neg eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps)))))
1/2
#s(literal 1/2 binary64)
(+ (exp (* x eps)) (exp (* x (neg eps))))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps))))
(exp (* x eps))
(exp.f64 (*.f64 x eps))
(* x eps)
(*.f64 x eps)
x
eps
(exp (* x (neg eps)))
(exp.f64 (*.f64 x (neg.f64 eps)))
(* x (neg eps))
(*.f64 x (neg.f64 eps))
(neg eps)
(neg.f64 eps)
(+ (* (* x x) -1/2) 1)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(* x x)
(*.f64 x x)
x
-1/2
#s(literal -1/2 binary64)
1
#s(literal 1 binary64)
(* 1/2 (* (+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1) (+ (+ x 2) x)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
1/2
#s(literal 1/2 binary64)
(* (+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1) (+ (+ x 2) x))
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
x
(+ (* x (+ (* x -1/6) 1/2)) -1)
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(+ (* x -1/6) 1/2)
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
-1/6
#s(literal -1/6 binary64)
-1
#s(literal -1 binary64)
1
#s(literal 1 binary64)
(+ (+ x 2) x)
(+.f64 #s(literal 2 binary64) (+.f64 x x))
(+ x 2)
(+.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (* x (/ (+ (* x (+ (* eps -1/4) -1/4)) (* eps (* eps (* x (+ (* eps 1/4) 1/4))))) eps)) 1)
(fma.f64 x (*.f64 (fma.f64 x eps x) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) eps)) #s(literal 1 binary64))
x
(/ (+ (* x (+ (* eps -1/4) -1/4)) (* eps (* eps (* x (+ (* eps 1/4) 1/4))))) eps)
(*.f64 (fma.f64 x eps x) (/.f64 (fma.f64 eps (*.f64 eps #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) eps))
(+ (* x (+ (* eps -1/4) -1/4)) (* eps (* eps (* x (+ (* eps 1/4) 1/4)))))
(*.f64 (fma.f64 x eps x) (fma.f64 eps (*.f64 eps #s(literal 1/4 binary64)) #s(literal -1/4 binary64)))
(+ (* eps -1/4) -1/4)
(fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/4 binary64))
eps
-1/4
#s(literal -1/4 binary64)
(* eps (* eps (* x (+ (* eps 1/4) 1/4))))
(*.f64 eps (*.f64 #s(literal 1/4 binary64) (*.f64 x (fma.f64 eps eps eps))))
(* eps (* x (+ (* eps 1/4) 1/4)))
(*.f64 #s(literal 1/4 binary64) (*.f64 x (fma.f64 eps eps eps)))
(* x (+ (* eps 1/4) 1/4))
(*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)))
(+ (* eps 1/4) 1/4)
(fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64))
1/4
#s(literal 1/4 binary64)
1
#s(literal 1 binary64)
(* 1/2 (+ (exp (* x eps)) 1))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
(+ (exp (* x eps)) 1)
(+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64))
(exp (* x eps))
(exp.f64 (*.f64 x eps))
(* x eps)
(*.f64 x eps)
x
eps
1
#s(literal 1 binary64)

localize142.0ms (0.9%)

Memory
24.5MiB live, 380.1MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x eps)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
✓accuracy100.0%
(+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64))
✓accuracy100.0%
(exp.f64 (*.f64 x eps))
✓accuracy99.9%
(*.f64 eps (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
✓accuracy99.9%
(*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
✓accuracy98.1%
(fma.f64 x (/.f64 (fma.f64 x (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (*.f64 eps (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))) eps) #s(literal 1 binary64))
✓accuracy89.4%
(/.f64 (fma.f64 x (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (*.f64 eps (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))) eps)
✓accuracy99.9%
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
✓accuracy99.9%
(*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
✓accuracy99.9%
(fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64))
✓accuracy99.8%
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
✓accuracy100.0%
(neg.f64 eps)
✓accuracy100.0%
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps))))
✓accuracy100.0%
(exp.f64 (*.f64 x (neg.f64 eps)))
✓accuracy100.0%
(exp.f64 (*.f64 x eps))
Samples
87.0ms255×0valid
1.0ms1×2valid
Compiler

Compiled 243 to 46 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-add: 27.0ms (40.3% of total)
ival-mult: 27.0ms (40.3% of total)
const: 5.0ms (7.5% of total)
ival-exp: 4.0ms (6% of total)
ival-div: 2.0ms (3% of total)
exact: 1.0ms (1.5% of total)
ival-neg: 1.0ms (1.5% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series31.0ms (0.2%)

Memory
-7.4MiB live, 87.0MiB allocated
Counts
21 → 396
Calls
Call 1
Inputs
#<alt (* 1/2 (+ (exp (* x eps)) (exp (* x (neg eps)))))>
#<alt (+ (exp (* x eps)) (exp (* x (neg eps))))>
#<alt (exp (* x eps))>
#<alt (* x eps)>
#<alt (+ (* (* x x) -1/2) 1)>
#<alt (* x x)>
#<alt (* 1/2 (* (+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1) (+ (+ x 2) x)))>
#<alt (* (+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1) (+ (+ x 2) x))>
#<alt (+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1)>
#<alt (+ (* x (+ (* x -1/6) 1/2)) -1)>
#<alt (+ (* x (+ (* eps -1/4) -1/4)) (* eps (* eps (* x (+ (* eps 1/4) 1/4)))))>
#<alt (+ (* x (/ (+ (* x (+ (* eps -1/4) -1/4)) (* eps (* eps (* x (+ (* eps 1/4) 1/4))))) eps)) 1)>
#<alt (/ (+ (* x (+ (* eps -1/4) -1/4)) (* eps (* eps (* x (+ (* eps 1/4) 1/4))))) eps)>
#<alt (+ (* eps -1/4) -1/4)>
#<alt (* 1/2 (+ (exp (* x eps)) 1))>
#<alt (+ (exp (* x eps)) 1)>
#<alt (exp (* x (neg eps)))>
#<alt (neg eps)>
#<alt (+ (* x -1/6) 1/2)>
#<alt (* eps (* x (+ (* eps 1/4) 1/4)))>
#<alt (* eps (* eps (* x (+ (* eps 1/4) 1/4))))>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (+ eps (* -1 eps)))))>
#<alt (+ 1 (* x (+ (* 1/2 (* (pow eps 2) x)) (* 1/2 (+ eps (* -1 eps))))))>
#<alt (+ 1 (* x (+ (* 1/2 (+ eps (* -1 eps))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow eps 3)) (* 1/6 (pow eps 3))))) (* 1/2 (pow eps 2)))))))>
#<alt (* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* eps (+ x (* -1 x)))))>
#<alt (+ 1 (* eps (+ (* 1/2 (* eps (pow x 2))) (* 1/2 (+ x (* -1 x))))))>
#<alt (+ 1 (* eps (+ (* 1/2 (+ x (* -1 x))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (pow x 3)) (* 1/6 (pow x 3))))) (* 1/2 (pow x 2)))))))>
#<alt (* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))>
#<alt (* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))>
#<alt 2>
#<alt (+ 2 (* x (+ eps (* -1 eps))))>
#<alt (+ 2 (* x (+ eps (+ (* -1 eps) (* (pow eps 2) x)))))>
#<alt (+ 2 (* x (+ eps (+ (* -1 eps) (* x (+ (* x (+ (* -1/6 (pow eps 3)) (* 1/6 (pow eps 3)))) (pow eps 2)))))))>
#<alt (+ (exp (* -1 (* eps x))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* eps x))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* eps x))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* eps x))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* eps x))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* eps x))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* eps x))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* eps x))) (exp (* eps x)))>
#<alt 2>
#<alt (+ 2 (* eps (+ x (* -1 x))))>
#<alt (+ 2 (* eps (+ x (+ (* -1 x) (* eps (pow x 2))))))>
#<alt (+ 2 (* eps (+ x (+ (* -1 x) (* eps (+ (* eps (+ (* -1/6 (pow x 3)) (* 1/6 (pow x 3)))) (pow x 2)))))))>
#<alt (+ (exp (* -1 (* eps x))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* eps x))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* eps x))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* eps x))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* eps x))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* eps x))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* eps x))) (exp (* eps x)))>
#<alt (+ (exp (* -1 (* eps x))) (exp (* eps x)))>
#<alt 1>
#<alt (+ 1 (* eps x))>
#<alt (+ 1 (* x (+ eps (* 1/2 (* (pow eps 2) x)))))>
#<alt (+ 1 (* x (+ eps (* x (+ (* 1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2)))))))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt 1>
#<alt (+ 1 (* eps x))>
#<alt (+ 1 (* eps (+ x (* 1/2 (* eps (pow x 2))))))>
#<alt (+ 1 (* eps (+ x (* eps (+ (* 1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (exp (* eps x))>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt (* eps x)>
#<alt 1>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (+ 1 (* -1/2 (pow x 2)))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* -1/2 (pow x 2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (* (pow x 2) (- (/ 1 (pow x 2)) 1/2))>
#<alt (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 x 2)))>
#<alt (+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))>
#<alt (+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/6 x))) 1/2)))>
#<alt (* -1/6 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/6))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/6 (/ 1/2 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 4))) (+ 1/6 (/ 1/2 (pow x 2)))))>
#<alt (* -1/6 (pow x 4))>
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/6))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/6))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 (pow x 2)) 1/2) x)) 1/3) x)) 1/6))>
#<alt 2>
#<alt (+ 2 (* -1 (pow x 2)))>
#<alt (+ 2 (* (pow x 2) (- (* 2/3 x) 1)))>
#<alt (+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/3 x))) 1)))>
#<alt (* -1/3 (pow x 4))>
#<alt (* (pow x 4) (- (* 2/3 (/ 1 x)) 1/3))>
#<alt (* (pow x 4) (- (* 2/3 (/ 1 x)) (+ 1/3 (/ 1 (pow x 2)))))>
#<alt (* (pow x 4) (- (+ (* 2/3 (/ 1 x)) (* 2 (/ 1 (pow x 4)))) (+ 1/3 (/ 1 (pow x 2)))))>
#<alt (* -1/3 (pow x 4))>
#<alt (* (pow x 4) (- (* 2/3 (/ 1 x)) 1/3))>
#<alt (* (pow x 4) (- (* -1 (/ (- (/ 1 x) 2/3) x)) 1/3))>
#<alt (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 (pow x 2))) 1) x)) 2/3) x)) 1/3))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* x (- (* 1/2 x) 1)))>
#<alt (+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))>
#<alt (* -1/6 (pow x 3))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1/6 (pow x 3))>
#<alt (* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))>
#<alt (* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))>
#<alt -1>
#<alt (- (* 1/2 x) 1)>
#<alt (- (* x (+ 1/2 (* -1/6 x))) 1)>
#<alt (- (* x (+ 1/2 (* -1/6 x))) 1)>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))>
#<alt (* -1/6 (pow x 2))>
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))>
#<alt (* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))>
#<alt (* x (- (+ (* -1/4 eps) (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) 1/4))>
#<alt (* x (- (+ (* -1/4 eps) (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) 1/4))>
#<alt (* x (- (+ (* -1/4 eps) (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) 1/4))>
#<alt (* x (- (+ (* -1/4 eps) (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) 1/4))>
#<alt (* x (- (+ (* -1/4 eps) (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) 1/4))>
#<alt (* x (- (+ (* -1/4 eps) (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) 1/4))>
#<alt (* x (- (+ (* -1/4 eps) (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) 1/4))>
#<alt (* x (- (+ (* -1/4 eps) (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) 1/4))>
#<alt (* -1 (* x (+ (* -1 (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) (* -1 (- (* -1/4 eps) 1/4)))))>
#<alt (* -1 (* x (+ (* -1 (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) (* -1 (- (* -1/4 eps) 1/4)))))>
#<alt (* -1 (* x (+ (* -1 (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) (* -1 (- (* -1/4 eps) 1/4)))))>
#<alt (* -1 (* x (+ (* -1 (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) (* -1 (- (* -1/4 eps) 1/4)))))>
#<alt (* -1/4 x)>
#<alt (+ (* -1/4 x) (* -1/4 (* eps x)))>
#<alt (+ (* -1/4 x) (* eps (+ (* -1/4 x) (* 1/4 (* eps x)))))>
#<alt (+ (* -1/4 x) (* eps (+ (* -1/4 x) (* eps (+ (* 1/4 x) (* 1/4 (* eps x)))))))>
#<alt (* 1/4 (* (pow eps 3) x))>
#<alt (* (pow eps 3) (+ (* 1/4 x) (* 1/4 (/ x eps))))>
#<alt (* (pow eps 3) (+ (* -1/4 (/ x (pow eps 2))) (+ (* 1/4 x) (* 1/4 (/ x eps)))))>
#<alt (* (pow eps 3) (+ (* -1/4 (/ x (pow eps 2))) (+ (* -1/4 (/ x (pow eps 3))) (+ (* 1/4 x) (* 1/4 (/ x eps))))))>
#<alt (* 1/4 (* (pow eps 3) x))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/4 x) (* -1/4 (/ x eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/4 (/ x eps)) (* 1/4 x)) eps)) (* -1/4 x))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 x) (* 1/4 (/ x eps))) eps)) (* 1/4 x)) eps)) (* -1/4 x))))>
#<alt 1>
#<alt (+ 1 (* (pow x 2) (- (* eps (+ 1/4 (* 1/4 eps))) (+ 1/4 (* 1/4 (/ 1 eps))))))>
#<alt (+ 1 (* (pow x 2) (- (* eps (+ 1/4 (* 1/4 eps))) (+ 1/4 (* 1/4 (/ 1 eps))))))>
#<alt (+ 1 (* (pow x 2) (- (* eps (+ 1/4 (* 1/4 eps))) (+ 1/4 (* 1/4 (/ 1 eps))))))>
#<alt (* (pow x 2) (- (* eps (+ 1/4 (* 1/4 eps))) (+ 1/4 (* 1/4 (/ 1 eps)))))>
#<alt (* (pow x 2) (- (+ (* eps (+ 1/4 (* 1/4 eps))) (/ 1 (pow x 2))) (+ 1/4 (* 1/4 (/ 1 eps)))))>
#<alt (* (pow x 2) (- (+ (* eps (+ 1/4 (* 1/4 eps))) (/ 1 (pow x 2))) (+ 1/4 (* 1/4 (/ 1 eps)))))>
#<alt (* (pow x 2) (- (+ (* eps (+ 1/4 (* 1/4 eps))) (/ 1 (pow x 2))) (+ 1/4 (* 1/4 (/ 1 eps)))))>
#<alt (* -1 (/ (* (pow x 2) (+ (* -1 (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) (* -1 (- (* -1/4 eps) 1/4)))) eps))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) (* -1 (- (* -1/4 eps) 1/4))) eps)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) (* -1 (- (* -1/4 eps) 1/4))) eps)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1 (/ (+ (* -1 (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) (* -1 (- (* -1/4 eps) 1/4))) eps)) (/ 1 (pow x 2))))>
#<alt (* -1/4 (/ (pow x 2) eps))>
#<alt (/ (+ (* -1/4 (pow x 2)) (* eps (+ 1 (* -1/4 (pow x 2))))) eps)>
#<alt (/ (+ (* -1/4 (pow x 2)) (* eps (+ 1 (+ (* -1/4 (pow x 2)) (* 1/4 (* eps (pow x 2))))))) eps)>
#<alt (/ (+ (* -1/4 (pow x 2)) (* eps (+ 1 (+ (* -1/4 (pow x 2)) (* eps (+ (* 1/4 (* eps (pow x 2))) (* 1/4 (pow x 2)))))))) eps)>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/4 (/ (pow x 2) eps)) (* 1/4 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1/4 (/ (pow x 2) (pow eps 2))) (+ (* 1/4 (/ (pow x 2) eps)) (+ (* 1/4 (pow x 2)) (/ 1 (pow eps 2))))))>
#<alt (* (pow eps 2) (+ (* -1/4 (/ (pow x 2) (pow eps 2))) (+ (* -1/4 (/ (pow x 2) (pow eps 3))) (+ (* 1/4 (/ (pow x 2) eps)) (+ (* 1/4 (pow x 2)) (/ 1 (pow eps 2)))))))>
#<alt (* 1/4 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/4 (/ (pow x 2) eps)) (* 1/4 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/4 (pow x 2))) eps)) (* -1/4 (pow x 2))) eps)) (* 1/4 (pow x 2))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1/4 (/ (pow x 2) eps)) (* -1/4 (pow x 2)))) eps)) (* -1/4 (pow x 2))) eps)) (* 1/4 (pow x 2))))>
#<alt (/ (* x (- (+ (* -1/4 eps) (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) 1/4)) eps)>
#<alt (/ (* x (- (+ (* -1/4 eps) (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) 1/4)) eps)>
#<alt (/ (* x (- (+ (* -1/4 eps) (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) 1/4)) eps)>
#<alt (/ (* x (- (+ (* -1/4 eps) (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) 1/4)) eps)>
#<alt (/ (* x (- (+ (* -1/4 eps) (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) 1/4)) eps)>
#<alt (/ (* x (- (+ (* -1/4 eps) (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) 1/4)) eps)>
#<alt (/ (* x (- (+ (* -1/4 eps) (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) 1/4)) eps)>
#<alt (/ (* x (- (+ (* -1/4 eps) (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) 1/4)) eps)>
#<alt (* -1 (/ (* x (+ (* -1 (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) (* -1 (- (* -1/4 eps) 1/4)))) eps))>
#<alt (* -1 (/ (* x (+ (* -1 (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) (* -1 (- (* -1/4 eps) 1/4)))) eps))>
#<alt (* -1 (/ (* x (+ (* -1 (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) (* -1 (- (* -1/4 eps) 1/4)))) eps))>
#<alt (* -1 (/ (* x (+ (* -1 (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) (* -1 (- (* -1/4 eps) 1/4)))) eps))>
#<alt (* -1/4 (/ x eps))>
#<alt (/ (+ (* -1/4 x) (* -1/4 (* eps x))) eps)>
#<alt (/ (+ (* -1/4 x) (* eps (+ (* -1/4 x) (* 1/4 (* eps x))))) eps)>
#<alt (/ (+ (* -1/4 x) (* eps (+ (* -1/4 x) (* eps (+ (* 1/4 x) (* 1/4 (* eps x))))))) eps)>
#<alt (* 1/4 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* 1/4 x) (* 1/4 (/ x eps))))>
#<alt (* (pow eps 2) (+ (* -1/4 (/ x (pow eps 2))) (+ (* 1/4 x) (* 1/4 (/ x eps)))))>
#<alt (* (pow eps 2) (+ (* -1/4 (/ x (pow eps 2))) (+ (* -1/4 (/ x (pow eps 3))) (+ (* 1/4 x) (* 1/4 (/ x eps))))))>
#<alt (* 1/4 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* 1/4 x) (* 1/4 (/ x eps))))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1/4 x) (* 1/4 (/ x eps))) eps)) (* 1/4 x)))>
#<alt (* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 x) (* -1/4 (/ x eps))) eps)) (* -1/4 x)) eps)) (* 1/4 x)))>
#<alt -1/4>
#<alt (- (* -1/4 eps) 1/4)>
#<alt (- (* -1/4 eps) 1/4)>
#<alt (- (* -1/4 eps) 1/4)>
#<alt (* -1/4 eps)>
#<alt (* -1 (* eps (+ 1/4 (* 1/4 (/ 1 eps)))))>
#<alt (* -1 (* eps (+ 1/4 (* 1/4 (/ 1 eps)))))>
#<alt (* -1 (* eps (+ 1/4 (* 1/4 (/ 1 eps)))))>
#<alt (* -1/4 eps)>
#<alt (* -1 (* eps (+ 1/4 (* 1/4 (/ 1 eps)))))>
#<alt (* -1 (* eps (+ 1/4 (* 1/4 (/ 1 eps)))))>
#<alt (* -1 (* eps (+ 1/4 (* 1/4 (/ 1 eps)))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* eps x)))>
#<alt (+ 1 (* x (+ (* 1/4 (* (pow eps 2) x)) (* 1/2 eps))))>
#<alt (+ 1 (* x (+ (* 1/2 eps) (* x (+ (* 1/12 (* (pow eps 3) x)) (* 1/4 (pow eps 2)))))))>
#<alt (* 1/2 (+ 1 (exp (* eps x))))>
#<alt (* 1/2 (+ 1 (exp (* eps x))))>
#<alt (* 1/2 (+ 1 (exp (* eps x))))>
#<alt (* 1/2 (+ 1 (exp (* eps x))))>
#<alt (* 1/2 (+ 1 (exp (* eps x))))>
#<alt (* 1/2 (+ 1 (exp (* eps x))))>
#<alt (* 1/2 (+ 1 (exp (* eps x))))>
#<alt (* 1/2 (+ 1 (exp (* eps x))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* eps x)))>
#<alt (+ 1 (* eps (+ (* 1/4 (* eps (pow x 2))) (* 1/2 x))))>
#<alt (+ 1 (* eps (+ (* 1/2 x) (* eps (+ (* 1/12 (* eps (pow x 3))) (* 1/4 (pow x 2)))))))>
#<alt (* 1/2 (+ 1 (exp (* eps x))))>
#<alt (* 1/2 (+ 1 (exp (* eps x))))>
#<alt (* 1/2 (+ 1 (exp (* eps x))))>
#<alt (* 1/2 (+ 1 (exp (* eps x))))>
#<alt (* 1/2 (+ 1 (exp (* eps x))))>
#<alt (* 1/2 (+ 1 (exp (* eps x))))>
#<alt (* 1/2 (+ 1 (exp (* eps x))))>
#<alt (* 1/2 (+ 1 (exp (* eps x))))>
#<alt 2>
#<alt (+ 2 (* eps x))>
#<alt (+ 2 (* x (+ eps (* 1/2 (* (pow eps 2) x)))))>
#<alt (+ 2 (* x (+ eps (* x (+ (* 1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2)))))))>
#<alt (+ 1 (exp (* eps x)))>
#<alt (+ 1 (exp (* eps x)))>
#<alt (+ 1 (exp (* eps x)))>
#<alt (+ 1 (exp (* eps x)))>
#<alt (+ 1 (exp (* eps x)))>
#<alt (+ 1 (exp (* eps x)))>
#<alt (+ 1 (exp (* eps x)))>
#<alt (+ 1 (exp (* eps x)))>
#<alt 2>
#<alt (+ 2 (* eps x))>
#<alt (+ 2 (* eps (+ x (* 1/2 (* eps (pow x 2))))))>
#<alt (+ 2 (* eps (+ x (* eps (+ (* 1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (+ 1 (exp (* eps x)))>
#<alt (+ 1 (exp (* eps x)))>
#<alt (+ 1 (exp (* eps x)))>
#<alt (+ 1 (exp (* eps x)))>
#<alt (+ 1 (exp (* eps x)))>
#<alt (+ 1 (exp (* eps x)))>
#<alt (+ 1 (exp (* eps x)))>
#<alt (+ 1 (exp (* eps x)))>
#<alt 1>
#<alt (+ 1 (* -1 (* eps x)))>
#<alt (+ 1 (* x (+ (* -1 eps) (* 1/2 (* (pow eps 2) x)))))>
#<alt (+ 1 (* x (+ (* -1 eps) (* x (+ (* -1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2)))))))>
#<alt (exp (* -1 (* eps x)))>
#<alt (exp (* -1 (* eps x)))>
#<alt (exp (* -1 (* eps x)))>
#<alt (exp (* -1 (* eps x)))>
#<alt (exp (* -1 (* eps x)))>
#<alt (exp (* -1 (* eps x)))>
#<alt (exp (* -1 (* eps x)))>
#<alt (exp (* -1 (* eps x)))>
#<alt 1>
#<alt (+ 1 (* -1 (* eps x)))>
#<alt (+ 1 (* eps (+ (* -1 x) (* 1/2 (* eps (pow x 2))))))>
#<alt (+ 1 (* eps (+ (* -1 x) (* eps (+ (* -1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))>
#<alt (exp (* -1 (* eps x)))>
#<alt (exp (* -1 (* eps x)))>
#<alt (exp (* -1 (* eps x)))>
#<alt (exp (* -1 (* eps x)))>
#<alt (exp (* -1 (* eps x)))>
#<alt (exp (* -1 (* eps x)))>
#<alt (exp (* -1 (* eps x)))>
#<alt (exp (* -1 (* eps x)))>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt (* -1 eps)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/6 x))>
#<alt (+ 1/2 (* -1/6 x))>
#<alt (+ 1/2 (* -1/6 x))>
#<alt (* -1/6 x)>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* x (- (* 1/2 (/ 1 x)) 1/6))>
#<alt (* -1/6 x)>
#<alt (* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))>
#<alt (* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))>
#<alt (* 1/4 (* eps x))>
#<alt (* eps (+ (* 1/4 x) (* 1/4 (* eps x))))>
#<alt (* eps (+ (* 1/4 x) (* 1/4 (* eps x))))>
#<alt (* eps (+ (* 1/4 x) (* 1/4 (* eps x))))>
#<alt (* 1/4 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* 1/4 x) (* 1/4 (/ x eps))))>
#<alt (* (pow eps 2) (+ (* 1/4 x) (* 1/4 (/ x eps))))>
#<alt (* (pow eps 2) (+ (* 1/4 x) (* 1/4 (/ x eps))))>
#<alt (* 1/4 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* 1/4 x) (* 1/4 (/ x eps))))>
#<alt (* (pow eps 2) (+ (* 1/4 x) (* 1/4 (/ x eps))))>
#<alt (* (pow eps 2) (+ (* 1/4 x) (* 1/4 (/ x eps))))>
#<alt (* eps (* x (+ 1/4 (* 1/4 eps))))>
#<alt (* eps (* x (+ 1/4 (* 1/4 eps))))>
#<alt (* eps (* x (+ 1/4 (* 1/4 eps))))>
#<alt (* eps (* x (+ 1/4 (* 1/4 eps))))>
#<alt (* eps (* x (+ 1/4 (* 1/4 eps))))>
#<alt (* eps (* x (+ 1/4 (* 1/4 eps))))>
#<alt (* eps (* x (+ 1/4 (* 1/4 eps))))>
#<alt (* eps (* x (+ 1/4 (* 1/4 eps))))>
#<alt (* eps (* x (+ 1/4 (* 1/4 eps))))>
#<alt (* eps (* x (+ 1/4 (* 1/4 eps))))>
#<alt (* eps (* x (+ 1/4 (* 1/4 eps))))>
#<alt (* eps (* x (+ 1/4 (* 1/4 eps))))>
#<alt (* 1/4 (* (pow eps 2) x))>
#<alt (* (pow eps 2) (+ (* 1/4 x) (* 1/4 (* eps x))))>
#<alt (* (pow eps 2) (+ (* 1/4 x) (* 1/4 (* eps x))))>
#<alt (* (pow eps 2) (+ (* 1/4 x) (* 1/4 (* eps x))))>
#<alt (* 1/4 (* (pow eps 3) x))>
#<alt (* (pow eps 3) (+ (* 1/4 x) (* 1/4 (/ x eps))))>
#<alt (* (pow eps 3) (+ (* 1/4 x) (* 1/4 (/ x eps))))>
#<alt (* (pow eps 3) (+ (* 1/4 x) (* 1/4 (/ x eps))))>
#<alt (* 1/4 (* (pow eps 3) x))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/4 x) (* -1/4 (/ x eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/4 x) (* -1/4 (/ x eps)))))>
#<alt (* -1 (* (pow eps 3) (+ (* -1/4 x) (* -1/4 (/ x eps)))))>
#<alt (* (pow eps 2) (* x (+ 1/4 (* 1/4 eps))))>
#<alt (* (pow eps 2) (* x (+ 1/4 (* 1/4 eps))))>
#<alt (* (pow eps 2) (* x (+ 1/4 (* 1/4 eps))))>
#<alt (* (pow eps 2) (* x (+ 1/4 (* 1/4 eps))))>
#<alt (* (pow eps 2) (* x (+ 1/4 (* 1/4 eps))))>
#<alt (* (pow eps 2) (* x (+ 1/4 (* 1/4 eps))))>
#<alt (* (pow eps 2) (* x (+ 1/4 (* 1/4 eps))))>
#<alt (* (pow eps 2) (* x (+ 1/4 (* 1/4 eps))))>
#<alt (* (pow eps 2) (* x (+ 1/4 (* 1/4 eps))))>
#<alt (* (pow eps 2) (* x (+ 1/4 (* 1/4 eps))))>
#<alt (* (pow eps 2) (* x (+ 1/4 (* 1/4 eps))))>
#<alt (* (pow eps 2) (* x (+ 1/4 (* 1/4 eps))))>
Calls

99 calls:

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

rewrite489.0ms (3.1%)

Memory
-11.8MiB live, 934.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 008×accelerator-lowering-fma.f32
5 008×accelerator-lowering-fma.f64
4 646×*-lowering-*.f32
4 646×*-lowering-*.f64
4 016×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044217
1282209
22461209
09316182
Stop Event
1×iter limit
1×node limit
Counts
21 → 706
Calls
Call 1
Inputs
(* 1/2 (+ (exp (* x eps)) (exp (* x (neg eps)))))
(+ (exp (* x eps)) (exp (* x (neg eps))))
(exp (* x eps))
(* x eps)
(+ (* (* x x) -1/2) 1)
(* x x)
(* 1/2 (* (+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1) (+ (+ x 2) x)))
(* (+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1) (+ (+ x 2) x))
(+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1)
(+ (* x (+ (* x -1/6) 1/2)) -1)
(+ (* x (+ (* eps -1/4) -1/4)) (* eps (* eps (* x (+ (* eps 1/4) 1/4)))))
(+ (* x (/ (+ (* x (+ (* eps -1/4) -1/4)) (* eps (* eps (* x (+ (* eps 1/4) 1/4))))) eps)) 1)
(/ (+ (* x (+ (* eps -1/4) -1/4)) (* eps (* eps (* x (+ (* eps 1/4) 1/4))))) eps)
(+ (* eps -1/4) -1/4)
(* 1/2 (+ (exp (* x eps)) 1))
(+ (exp (* x eps)) 1)
(exp (* x (neg eps)))
(neg eps)
(+ (* x -1/6) 1/2)
(* eps (* x (+ (* eps 1/4) 1/4)))
(* eps (* eps (* x (+ (* eps 1/4) 1/4))))
Outputs
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(fma.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))))
(fma.f64 (exp.f64 (*.f64 x (neg.f64 eps))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))))
(/.f64 (fma.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/8 binary64) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64))))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64))))) (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (neg.f64 eps)))))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps))))
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (neg.f64 eps)))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps))))
(/.f64 (neg.f64 (fma.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/8 binary64) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64)))))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64)))))) (neg.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (neg.f64 eps))))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64)))))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (neg.f64 eps))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps)))))
(/.f64 (fma.f64 #s(literal 1/8 binary64) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64))) (*.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x (neg.f64 eps)))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64)))) (sinh.f64 (*.f64 x eps))))
(*.f64 (/.f64 (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (sinh.f64 (*.f64 x eps))))
(+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps))))
(+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x eps)))
(-.f64 (/.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps)))) (/.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps)))))
(-.f64 (/.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x eps)))) (/.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x eps)))))
(fma.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64) (exp.f64 (*.f64 x (neg.f64 eps))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x eps)))
(fma.f64 (exp.f64 (*.f64 x (/.f64 (neg.f64 eps) #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 (neg.f64 eps) #s(literal 2 binary64)))) (exp.f64 (*.f64 x eps)))
(fma.f64 (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (neg.f64 eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (neg.f64 eps)))))) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (neg.f64 eps)))))) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (neg.f64 eps)))))))
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 x (+.f64 eps (neg.f64 eps)))))))
(/.f64 (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (neg.f64 eps))))))))
(/.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 x (+.f64 eps (neg.f64 eps))))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))))) (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps)))))
(/.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps eps)))) (-.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x eps))))
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps)))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (neg.f64 eps)))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps))))))
(/.f64 (neg.f64 (-.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps eps))))) (neg.f64 (-.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x eps)))))
(pow.f64 (/.f64 (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (neg.f64 eps)))))) (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps))) (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))))) #s(literal -1 binary64))
(*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps)))
(*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x eps) #s(literal 3 binary64))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (-.f64 (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64))) (exp.f64 (*.f64 x (+.f64 eps (neg.f64 eps))))))))
(*.f64 (-.f64 (exp.f64 (*.f64 x (+.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (neg.f64 eps)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps)))))
(*.f64 (cosh.f64 (*.f64 x eps)) (/.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 x eps))) (sinh.f64 (*.f64 x eps))))
(exp.f64 (*.f64 x eps))
(exp.f64 (*.f64 (log.f64 (exp.f64 eps)) x))
(pow.f64 (exp.f64 x) eps)
(pow.f64 (exp.f64 x) (+.f64 (/.f64 eps #s(literal 2 binary64)) (/.f64 eps #s(literal 2 binary64))))
(pow.f64 (exp.f64 (+.f64 x x)) (/.f64 eps #s(literal 2 binary64)))
(pow.f64 (exp.f64 eps) x)
(pow.f64 (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))
(*.f64 (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))) (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64)))))
(log.f64 (exp.f64 (*.f64 x eps)))
(+.f64 (*.f64 x eps) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 x eps))
(+.f64 (log.f64 (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64))))) (log.f64 (exp.f64 (*.f64 x (/.f64 eps #s(literal 2 binary64))))))
(fma.f64 x eps #s(literal 0 binary64))
(fma.f64 x (log.f64 (exp.f64 eps)) #s(literal 0 binary64))
(fma.f64 eps x #s(literal 0 binary64))
(*.f64 x eps)
(*.f64 x (log.f64 (exp.f64 eps)))
(*.f64 eps x)
(+.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/2 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64)) #s(literal 1 binary64))))
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(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64)))))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) x #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64))))
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(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))
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(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/216 binary64) #s(literal 1/8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64))) #s(literal -1 binary64))
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(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))))
(+.f64 (*.f64 x (*.f64 eps #s(literal 1/4 binary64))) (*.f64 (*.f64 x eps) (*.f64 eps #s(literal 1/4 binary64))))
(+.f64 (*.f64 x (*.f64 eps #s(literal 1/4 binary64))) (*.f64 (*.f64 eps #s(literal 1/4 binary64)) (*.f64 x eps)))
(+.f64 (*.f64 eps (*.f64 x (*.f64 eps #s(literal 1/4 binary64)))) (*.f64 x (*.f64 eps #s(literal 1/4 binary64))))
(+.f64 (*.f64 (*.f64 x eps) (*.f64 eps #s(literal 1/4 binary64))) (*.f64 x (*.f64 eps #s(literal 1/4 binary64))))
(+.f64 (*.f64 (*.f64 x (*.f64 eps #s(literal 1/4 binary64))) eps) (*.f64 x (*.f64 eps #s(literal 1/4 binary64))))
(+.f64 (*.f64 (*.f64 eps #s(literal 1/4 binary64)) (*.f64 x eps)) (*.f64 x (*.f64 eps #s(literal 1/4 binary64))))
(fma.f64 x (*.f64 eps #s(literal 1/4 binary64)) (*.f64 (*.f64 x eps) (*.f64 eps #s(literal 1/4 binary64))))
(fma.f64 x (*.f64 eps #s(literal 1/4 binary64)) (*.f64 (*.f64 eps #s(literal 1/4 binary64)) (*.f64 x eps)))
(fma.f64 eps (*.f64 x (*.f64 eps #s(literal 1/4 binary64))) (*.f64 x (*.f64 eps #s(literal 1/4 binary64))))
(fma.f64 eps (*.f64 x #s(literal 1/4 binary64)) (*.f64 (*.f64 x eps) (*.f64 eps #s(literal 1/4 binary64))))
(fma.f64 eps (*.f64 x #s(literal 1/4 binary64)) (*.f64 (*.f64 eps #s(literal 1/4 binary64)) (*.f64 x eps)))
(fma.f64 (*.f64 x eps) #s(literal 1/4 binary64) (*.f64 (*.f64 x eps) (*.f64 eps #s(literal 1/4 binary64))))
(fma.f64 (*.f64 x eps) #s(literal 1/4 binary64) (*.f64 (*.f64 eps #s(literal 1/4 binary64)) (*.f64 x eps)))
(fma.f64 (*.f64 x eps) (*.f64 eps #s(literal 1/4 binary64)) (*.f64 x (*.f64 eps #s(literal 1/4 binary64))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x eps) (*.f64 (*.f64 x eps) (*.f64 eps #s(literal 1/4 binary64))))
(fma.f64 #s(literal 1/4 binary64) (*.f64 x eps) (*.f64 (*.f64 eps #s(literal 1/4 binary64)) (*.f64 x eps)))
(fma.f64 (*.f64 eps #s(literal 1/4 binary64)) x (*.f64 (*.f64 x eps) (*.f64 eps #s(literal 1/4 binary64))))
(fma.f64 (*.f64 eps #s(literal 1/4 binary64)) x (*.f64 (*.f64 eps #s(literal 1/4 binary64)) (*.f64 x eps)))
(fma.f64 (*.f64 eps #s(literal 1/4 binary64)) (*.f64 x eps) (*.f64 x (*.f64 eps #s(literal 1/4 binary64))))
(fma.f64 (*.f64 x (*.f64 eps #s(literal 1/4 binary64))) eps (*.f64 x (*.f64 eps #s(literal 1/4 binary64))))
(fma.f64 (*.f64 x #s(literal 1/4 binary64)) eps (*.f64 (*.f64 x eps) (*.f64 eps #s(literal 1/4 binary64))))
(fma.f64 (*.f64 x #s(literal 1/4 binary64)) eps (*.f64 (*.f64 eps #s(literal 1/4 binary64)) (*.f64 x eps)))
(/.f64 (*.f64 (*.f64 x eps) (fma.f64 #s(literal -1/64 binary64) (*.f64 eps (*.f64 eps eps)) #s(literal 1/64 binary64))) (-.f64 (fma.f64 eps (*.f64 eps #s(literal 1/16 binary64)) #s(literal 1/16 binary64)) (*.f64 eps #s(literal 1/16 binary64))))
(/.f64 (*.f64 (*.f64 x eps) (fma.f64 eps (*.f64 eps #s(literal 1/16 binary64)) #s(literal -1/16 binary64))) (fma.f64 eps #s(literal 1/4 binary64) #s(literal -1/4 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 x eps) (fma.f64 #s(literal -1/64 binary64) (*.f64 eps (*.f64 eps eps)) #s(literal 1/64 binary64)))) (neg.f64 (-.f64 (fma.f64 eps (*.f64 eps #s(literal 1/16 binary64)) #s(literal 1/16 binary64)) (*.f64 eps #s(literal 1/16 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 x eps) (fma.f64 eps (*.f64 eps #s(literal 1/16 binary64)) #s(literal -1/16 binary64)))) (neg.f64 (fma.f64 eps #s(literal 1/4 binary64) #s(literal -1/4 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/64 binary64) (*.f64 eps (*.f64 eps eps))) (pow.f64 (*.f64 (*.f64 x eps) (*.f64 eps #s(literal 1/4 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 eps #s(literal 1/4 binary64))) (*.f64 x (*.f64 eps #s(literal 1/4 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 x eps) (*.f64 eps #s(literal 1/4 binary64))) (*.f64 (*.f64 x eps) (*.f64 eps #s(literal 1/4 binary64)))) (*.f64 (*.f64 x (*.f64 eps #s(literal 1/4 binary64))) (*.f64 (*.f64 x eps) (*.f64 eps #s(literal 1/4 binary64)))))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/64 binary64) (*.f64 eps (*.f64 eps eps))) (pow.f64 (*.f64 (*.f64 eps #s(literal 1/4 binary64)) (*.f64 x eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 eps #s(literal 1/4 binary64))) (*.f64 x (*.f64 eps #s(literal 1/4 binary64))) (-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal 1/4 binary64)) (*.f64 x eps)) (*.f64 (*.f64 eps #s(literal 1/4 binary64)) (*.f64 x eps))) (*.f64 (*.f64 x (*.f64 eps #s(literal 1/4 binary64))) (*.f64 (*.f64 eps #s(literal 1/4 binary64)) (*.f64 x eps))))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 x (*.f64 eps #s(literal 1/4 binary64)))) #s(literal 3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/64 binary64) (*.f64 eps (*.f64 eps eps))))) (fma.f64 (*.f64 eps (*.f64 x (*.f64 eps #s(literal 1/4 binary64)))) (*.f64 eps (*.f64 x (*.f64 eps #s(literal 1/4 binary64)))) (-.f64 (*.f64 (*.f64 x (*.f64 eps #s(literal 1/4 binary64))) (*.f64 x (*.f64 eps #s(literal 1/4 binary64)))) (*.f64 (*.f64 eps (*.f64 x (*.f64 eps #s(literal 1/4 binary64)))) (*.f64 x (*.f64 eps #s(literal 1/4 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x eps) (*.f64 eps #s(literal 1/4 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/64 binary64) (*.f64 eps (*.f64 eps eps))))) (fma.f64 (*.f64 (*.f64 x eps) (*.f64 eps #s(literal 1/4 binary64))) (*.f64 (*.f64 x eps) (*.f64 eps #s(literal 1/4 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 eps #s(literal 1/4 binary64))) (*.f64 x (*.f64 eps #s(literal 1/4 binary64)))) (*.f64 (*.f64 (*.f64 x eps) (*.f64 eps #s(literal 1/4 binary64))) (*.f64 x (*.f64 eps #s(literal 1/4 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 eps #s(literal 1/4 binary64))) eps) #s(literal 3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/64 binary64) (*.f64 eps (*.f64 eps eps))))) (fma.f64 (*.f64 (*.f64 x (*.f64 eps #s(literal 1/4 binary64))) eps) (*.f64 (*.f64 x (*.f64 eps #s(literal 1/4 binary64))) eps) (-.f64 (*.f64 (*.f64 x (*.f64 eps #s(literal 1/4 binary64))) (*.f64 x (*.f64 eps #s(literal 1/4 binary64)))) (*.f64 (*.f64 (*.f64 x (*.f64 eps #s(literal 1/4 binary64))) eps) (*.f64 x (*.f64 eps #s(literal 1/4 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 eps #s(literal 1/4 binary64)) (*.f64 x eps)) #s(literal 3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal -1/64 binary64) (*.f64 eps (*.f64 eps eps))))) (fma.f64 (*.f64 (*.f64 eps #s(literal 1/4 binary64)) (*.f64 x eps)) (*.f64 (*.f64 eps #s(literal 1/4 binary64)) (*.f64 x eps)) (-.f64 (*.f64 (*.f64 x (*.f64 eps #s(literal 1/4 binary64))) (*.f64 x (*.f64 eps #s(literal 1/4 binary64)))) (*.f64 (*.f64 (*.f64 eps #s(literal 1/4 binary64)) (*.f64 x eps)) (*.f64 x (*.f64 eps #s(literal 1/4 binary64)))))))
(*.f64 x (*.f64 eps (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(*.f64 x (*.f64 (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)) eps))
(*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(*.f64 (*.f64 x eps) (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)))
(*.f64 (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 x eps))
(*.f64 (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64))) eps)
(*.f64 (*.f64 eps (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64))) x)
(*.f64 (*.f64 (*.f64 x eps) (+.f64 eps #s(literal 1 binary64))) #s(literal 1/4 binary64))
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 eps #s(literal 1/4 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 x #s(literal 1/4 binary64))))
(+.f64 (*.f64 (*.f64 x (*.f64 eps #s(literal 1/4 binary64))) (*.f64 eps eps)) (*.f64 (*.f64 x #s(literal 1/4 binary64)) (*.f64 eps eps)))
(fma.f64 (*.f64 x (*.f64 eps #s(literal 1/4 binary64))) (*.f64 eps eps) (*.f64 (*.f64 x #s(literal 1/4 binary64)) (*.f64 eps eps)))
(fma.f64 (*.f64 eps eps) (*.f64 x (*.f64 eps #s(literal 1/4 binary64))) (*.f64 (*.f64 eps eps) (*.f64 x #s(literal 1/4 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 eps #s(literal 1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 eps eps) (*.f64 x #s(literal 1/4 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 eps #s(literal 1/4 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 eps #s(literal 1/4 binary64)))) (-.f64 (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x #s(literal 1/4 binary64))) (*.f64 (*.f64 eps eps) (*.f64 x #s(literal 1/4 binary64)))) (*.f64 (*.f64 (*.f64 eps eps) (*.f64 x (*.f64 eps #s(literal 1/4 binary64)))) (*.f64 (*.f64 eps eps) (*.f64 x #s(literal 1/4 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (*.f64 eps #s(literal 1/4 binary64))) (*.f64 eps eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal 1/4 binary64)) (*.f64 eps eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x (*.f64 eps #s(literal 1/4 binary64))) (*.f64 eps eps)) (*.f64 (*.f64 x (*.f64 eps #s(literal 1/4 binary64))) (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/4 binary64)) (*.f64 eps eps)) (*.f64 (*.f64 x #s(literal 1/4 binary64)) (*.f64 eps eps))) (*.f64 (*.f64 (*.f64 x (*.f64 eps #s(literal 1/4 binary64))) (*.f64 eps eps)) (*.f64 (*.f64 x #s(literal 1/4 binary64)) (*.f64 eps eps))))))
(*.f64 eps (*.f64 x (*.f64 eps (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(*.f64 (*.f64 x eps) (*.f64 (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)) eps))
(*.f64 (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64))) (*.f64 eps eps))
(*.f64 (*.f64 x (*.f64 eps (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) eps)
(*.f64 (*.f64 eps eps) (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(*.f64 (*.f64 eps (*.f64 x eps)) (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 eps eps) x) (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 eps eps) (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64))) x)

simplify457.0ms (2.9%)

Memory
17.0MiB live, 695.1MiB allocated
Algorithm
1×egg-herbie
Rules
16 322×accelerator-lowering-fma.f32
16 322×accelerator-lowering-fma.f64
5 018×*-lowering-*.f32
5 018×*-lowering-*.f64
4 400×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04463781
114403689
245733493
081363278
Stop Event
1×iter limit
1×node limit
Counts
396 → 396
Calls
Call 1
Inputs
1
(+ 1 (* 1/2 (* x (+ eps (* -1 eps)))))
(+ 1 (* x (+ (* 1/2 (* (pow eps 2) x)) (* 1/2 (+ eps (* -1 eps))))))
(+ 1 (* x (+ (* 1/2 (+ eps (* -1 eps))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow eps 3)) (* 1/6 (pow eps 3))))) (* 1/2 (pow eps 2)))))))
(* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))
1
(+ 1 (* 1/2 (* eps (+ x (* -1 x)))))
(+ 1 (* eps (+ (* 1/2 (* eps (pow x 2))) (* 1/2 (+ x (* -1 x))))))
(+ 1 (* eps (+ (* 1/2 (+ x (* -1 x))) (* eps (+ (* 1/2 (* eps (+ (* -1/6 (pow x 3)) (* 1/6 (pow x 3))))) (* 1/2 (pow x 2)))))))
(* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))
(* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))
2
(+ 2 (* x (+ eps (* -1 eps))))
(+ 2 (* x (+ eps (+ (* -1 eps) (* (pow eps 2) x)))))
(+ 2 (* x (+ eps (+ (* -1 eps) (* x (+ (* x (+ (* -1/6 (pow eps 3)) (* 1/6 (pow eps 3)))) (pow eps 2)))))))
(+ (exp (* -1 (* eps x))) (exp (* eps x)))
(+ (exp (* -1 (* eps x))) (exp (* eps x)))
(+ (exp (* -1 (* eps x))) (exp (* eps x)))
(+ (exp (* -1 (* eps x))) (exp (* eps x)))
(+ (exp (* -1 (* eps x))) (exp (* eps x)))
(+ (exp (* -1 (* eps x))) (exp (* eps x)))
(+ (exp (* -1 (* eps x))) (exp (* eps x)))
(+ (exp (* -1 (* eps x))) (exp (* eps x)))
2
(+ 2 (* eps (+ x (* -1 x))))
(+ 2 (* eps (+ x (+ (* -1 x) (* eps (pow x 2))))))
(+ 2 (* eps (+ x (+ (* -1 x) (* eps (+ (* eps (+ (* -1/6 (pow x 3)) (* 1/6 (pow x 3)))) (pow x 2)))))))
(+ (exp (* -1 (* eps x))) (exp (* eps x)))
(+ (exp (* -1 (* eps x))) (exp (* eps x)))
(+ (exp (* -1 (* eps x))) (exp (* eps x)))
(+ (exp (* -1 (* eps x))) (exp (* eps x)))
(+ (exp (* -1 (* eps x))) (exp (* eps x)))
(+ (exp (* -1 (* eps x))) (exp (* eps x)))
(+ (exp (* -1 (* eps x))) (exp (* eps x)))
(+ (exp (* -1 (* eps x))) (exp (* eps x)))
1
(+ 1 (* eps x))
(+ 1 (* x (+ eps (* 1/2 (* (pow eps 2) x)))))
(+ 1 (* x (+ eps (* x (+ (* 1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2)))))))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
1
(+ 1 (* eps x))
(+ 1 (* eps (+ x (* 1/2 (* eps (pow x 2))))))
(+ 1 (* eps (+ x (* eps (+ (* 1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(exp (* eps x))
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
(* eps x)
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* -1/2 (pow x 2)))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* -1/2 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1/2))
(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
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))
(+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/6 x))) 1/2)))
(* -1/6 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/6))
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/6 (/ 1/2 (pow x 2)))))
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 4))) (+ 1/6 (/ 1/2 (pow x 2)))))
(* -1/6 (pow x 4))
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/6))
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/6))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 (pow x 2)) 1/2) x)) 1/3) x)) 1/6))
2
(+ 2 (* -1 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 2/3 x) 1)))
(+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/3 x))) 1)))
(* -1/3 (pow x 4))
(* (pow x 4) (- (* 2/3 (/ 1 x)) 1/3))
(* (pow x 4) (- (* 2/3 (/ 1 x)) (+ 1/3 (/ 1 (pow x 2)))))
(* (pow x 4) (- (+ (* 2/3 (/ 1 x)) (* 2 (/ 1 (pow x 4)))) (+ 1/3 (/ 1 (pow x 2)))))
(* -1/3 (pow x 4))
(* (pow x 4) (- (* 2/3 (/ 1 x)) 1/3))
(* (pow x 4) (- (* -1 (/ (- (/ 1 x) 2/3) x)) 1/3))
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 (pow x 2))) 1) x)) 2/3) x)) 1/3))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(* -1/6 (pow x 3))
(* (pow x 3) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* (pow x 3) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 3))
(* -1 (* (pow x 3) (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (- 1/2 (/ 1 x)) x)))))
(* -1 (* (pow x 3) (+ 1/6 (* -1 (/ (+ 1/2 (* -1 (/ (- 1 (/ 1 x)) x))) x)))))
-1
(- (* 1/2 x) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(- (* x (+ 1/2 (* -1/6 x))) 1)
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* (pow x 2) (- (* 1/2 (/ 1 x)) (+ 1/6 (/ 1 (pow x 2)))))
(* -1/6 (pow x 2))
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/6))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(* (pow x 2) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/6))
(* x (- (+ (* -1/4 eps) (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) 1/4))
(* x (- (+ (* -1/4 eps) (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) 1/4))
(* x (- (+ (* -1/4 eps) (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) 1/4))
(* x (- (+ (* -1/4 eps) (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) 1/4))
(* x (- (+ (* -1/4 eps) (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) 1/4))
(* x (- (+ (* -1/4 eps) (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) 1/4))
(* x (- (+ (* -1/4 eps) (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) 1/4))
(* x (- (+ (* -1/4 eps) (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) 1/4))
(* -1 (* x (+ (* -1 (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) (* -1 (- (* -1/4 eps) 1/4)))))
(* -1 (* x (+ (* -1 (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) (* -1 (- (* -1/4 eps) 1/4)))))
(* -1 (* x (+ (* -1 (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) (* -1 (- (* -1/4 eps) 1/4)))))
(* -1 (* x (+ (* -1 (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) (* -1 (- (* -1/4 eps) 1/4)))))
(* -1/4 x)
(+ (* -1/4 x) (* -1/4 (* eps x)))
(+ (* -1/4 x) (* eps (+ (* -1/4 x) (* 1/4 (* eps x)))))
(+ (* -1/4 x) (* eps (+ (* -1/4 x) (* eps (+ (* 1/4 x) (* 1/4 (* eps x)))))))
(* 1/4 (* (pow eps 3) x))
(* (pow eps 3) (+ (* 1/4 x) (* 1/4 (/ x eps))))
(* (pow eps 3) (+ (* -1/4 (/ x (pow eps 2))) (+ (* 1/4 x) (* 1/4 (/ x eps)))))
(* (pow eps 3) (+ (* -1/4 (/ x (pow eps 2))) (+ (* -1/4 (/ x (pow eps 3))) (+ (* 1/4 x) (* 1/4 (/ x eps))))))
(* 1/4 (* (pow eps 3) x))
(* -1 (* (pow eps 3) (+ (* -1/4 x) (* -1/4 (/ x eps)))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1/4 (/ x eps)) (* 1/4 x)) eps)) (* -1/4 x))))
(* -1 (* (pow eps 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/4 x) (* 1/4 (/ x eps))) eps)) (* 1/4 x)) eps)) (* -1/4 x))))
1
(+ 1 (* (pow x 2) (- (* eps (+ 1/4 (* 1/4 eps))) (+ 1/4 (* 1/4 (/ 1 eps))))))
(+ 1 (* (pow x 2) (- (* eps (+ 1/4 (* 1/4 eps))) (+ 1/4 (* 1/4 (/ 1 eps))))))
(+ 1 (* (pow x 2) (- (* eps (+ 1/4 (* 1/4 eps))) (+ 1/4 (* 1/4 (/ 1 eps))))))
(* (pow x 2) (- (* eps (+ 1/4 (* 1/4 eps))) (+ 1/4 (* 1/4 (/ 1 eps)))))
(* (pow x 2) (- (+ (* eps (+ 1/4 (* 1/4 eps))) (/ 1 (pow x 2))) (+ 1/4 (* 1/4 (/ 1 eps)))))
(* (pow x 2) (- (+ (* eps (+ 1/4 (* 1/4 eps))) (/ 1 (pow x 2))) (+ 1/4 (* 1/4 (/ 1 eps)))))
(* (pow x 2) (- (+ (* eps (+ 1/4 (* 1/4 eps))) (/ 1 (pow x 2))) (+ 1/4 (* 1/4 (/ 1 eps)))))
(* -1 (/ (* (pow x 2) (+ (* -1 (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) (* -1 (- (* -1/4 eps) 1/4)))) eps))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) (* -1 (- (* -1/4 eps) 1/4))) eps)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) (* -1 (- (* -1/4 eps) 1/4))) eps)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* -1 (/ (+ (* -1 (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) (* -1 (- (* -1/4 eps) 1/4))) eps)) (/ 1 (pow x 2))))
(* -1/4 (/ (pow x 2) eps))
(/ (+ (* -1/4 (pow x 2)) (* eps (+ 1 (* -1/4 (pow x 2))))) eps)
(/ (+ (* -1/4 (pow x 2)) (* eps (+ 1 (+ (* -1/4 (pow x 2)) (* 1/4 (* eps (pow x 2))))))) eps)
(/ (+ (* -1/4 (pow x 2)) (* eps (+ 1 (+ (* -1/4 (pow x 2)) (* eps (+ (* 1/4 (* eps (pow x 2))) (* 1/4 (pow x 2)))))))) eps)
(* 1/4 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/4 (/ (pow x 2) eps)) (* 1/4 (pow x 2))))
(* (pow eps 2) (+ (* -1/4 (/ (pow x 2) (pow eps 2))) (+ (* 1/4 (/ (pow x 2) eps)) (+ (* 1/4 (pow x 2)) (/ 1 (pow eps 2))))))
(* (pow eps 2) (+ (* -1/4 (/ (pow x 2) (pow eps 2))) (+ (* -1/4 (/ (pow x 2) (pow eps 3))) (+ (* 1/4 (/ (pow x 2) eps)) (+ (* 1/4 (pow x 2)) (/ 1 (pow eps 2)))))))
(* 1/4 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/4 (/ (pow x 2) eps)) (* 1/4 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/4 (pow x 2))) eps)) (* -1/4 (pow x 2))) eps)) (* 1/4 (pow x 2))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (+ (* -1/4 (/ (pow x 2) eps)) (* -1/4 (pow x 2)))) eps)) (* -1/4 (pow x 2))) eps)) (* 1/4 (pow x 2))))
(/ (* x (- (+ (* -1/4 eps) (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) 1/4)) eps)
(/ (* x (- (+ (* -1/4 eps) (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) 1/4)) eps)
(/ (* x (- (+ (* -1/4 eps) (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) 1/4)) eps)
(/ (* x (- (+ (* -1/4 eps) (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) 1/4)) eps)
(/ (* x (- (+ (* -1/4 eps) (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) 1/4)) eps)
(/ (* x (- (+ (* -1/4 eps) (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) 1/4)) eps)
(/ (* x (- (+ (* -1/4 eps) (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) 1/4)) eps)
(/ (* x (- (+ (* -1/4 eps) (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) 1/4)) eps)
(* -1 (/ (* x (+ (* -1 (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) (* -1 (- (* -1/4 eps) 1/4)))) eps))
(* -1 (/ (* x (+ (* -1 (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) (* -1 (- (* -1/4 eps) 1/4)))) eps))
(* -1 (/ (* x (+ (* -1 (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) (* -1 (- (* -1/4 eps) 1/4)))) eps))
(* -1 (/ (* x (+ (* -1 (* (pow eps 2) (+ 1/4 (* 1/4 eps)))) (* -1 (- (* -1/4 eps) 1/4)))) eps))
(* -1/4 (/ x eps))
(/ (+ (* -1/4 x) (* -1/4 (* eps x))) eps)
(/ (+ (* -1/4 x) (* eps (+ (* -1/4 x) (* 1/4 (* eps x))))) eps)
(/ (+ (* -1/4 x) (* eps (+ (* -1/4 x) (* eps (+ (* 1/4 x) (* 1/4 (* eps x))))))) eps)
(* 1/4 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 1/4 x) (* 1/4 (/ x eps))))
(* (pow eps 2) (+ (* -1/4 (/ x (pow eps 2))) (+ (* 1/4 x) (* 1/4 (/ x eps)))))
(* (pow eps 2) (+ (* -1/4 (/ x (pow eps 2))) (+ (* -1/4 (/ x (pow eps 3))) (+ (* 1/4 x) (* 1/4 (/ x eps))))))
(* 1/4 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 1/4 x) (* 1/4 (/ x eps))))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1/4 x) (* 1/4 (/ x eps))) eps)) (* 1/4 x)))
(* (pow eps 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 x) (* -1/4 (/ x eps))) eps)) (* -1/4 x)) eps)) (* 1/4 x)))
-1/4
(- (* -1/4 eps) 1/4)
(- (* -1/4 eps) 1/4)
(- (* -1/4 eps) 1/4)
(* -1/4 eps)
(* -1 (* eps (+ 1/4 (* 1/4 (/ 1 eps)))))
(* -1 (* eps (+ 1/4 (* 1/4 (/ 1 eps)))))
(* -1 (* eps (+ 1/4 (* 1/4 (/ 1 eps)))))
(* -1/4 eps)
(* -1 (* eps (+ 1/4 (* 1/4 (/ 1 eps)))))
(* -1 (* eps (+ 1/4 (* 1/4 (/ 1 eps)))))
(* -1 (* eps (+ 1/4 (* 1/4 (/ 1 eps)))))
1
(+ 1 (* 1/2 (* eps x)))
(+ 1 (* x (+ (* 1/4 (* (pow eps 2) x)) (* 1/2 eps))))
(+ 1 (* x (+ (* 1/2 eps) (* x (+ (* 1/12 (* (pow eps 3) x)) (* 1/4 (pow eps 2)))))))
(* 1/2 (+ 1 (exp (* eps x))))
(* 1/2 (+ 1 (exp (* eps x))))
(* 1/2 (+ 1 (exp (* eps x))))
(* 1/2 (+ 1 (exp (* eps x))))
(* 1/2 (+ 1 (exp (* eps x))))
(* 1/2 (+ 1 (exp (* eps x))))
(* 1/2 (+ 1 (exp (* eps x))))
(* 1/2 (+ 1 (exp (* eps x))))
1
(+ 1 (* 1/2 (* eps x)))
(+ 1 (* eps (+ (* 1/4 (* eps (pow x 2))) (* 1/2 x))))
(+ 1 (* eps (+ (* 1/2 x) (* eps (+ (* 1/12 (* eps (pow x 3))) (* 1/4 (pow x 2)))))))
(* 1/2 (+ 1 (exp (* eps x))))
(* 1/2 (+ 1 (exp (* eps x))))
(* 1/2 (+ 1 (exp (* eps x))))
(* 1/2 (+ 1 (exp (* eps x))))
(* 1/2 (+ 1 (exp (* eps x))))
(* 1/2 (+ 1 (exp (* eps x))))
(* 1/2 (+ 1 (exp (* eps x))))
(* 1/2 (+ 1 (exp (* eps x))))
2
(+ 2 (* eps x))
(+ 2 (* x (+ eps (* 1/2 (* (pow eps 2) x)))))
(+ 2 (* x (+ eps (* x (+ (* 1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2)))))))
(+ 1 (exp (* eps x)))
(+ 1 (exp (* eps x)))
(+ 1 (exp (* eps x)))
(+ 1 (exp (* eps x)))
(+ 1 (exp (* eps x)))
(+ 1 (exp (* eps x)))
(+ 1 (exp (* eps x)))
(+ 1 (exp (* eps x)))
2
(+ 2 (* eps x))
(+ 2 (* eps (+ x (* 1/2 (* eps (pow x 2))))))
(+ 2 (* eps (+ x (* eps (+ (* 1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))
(+ 1 (exp (* eps x)))
(+ 1 (exp (* eps x)))
(+ 1 (exp (* eps x)))
(+ 1 (exp (* eps x)))
(+ 1 (exp (* eps x)))
(+ 1 (exp (* eps x)))
(+ 1 (exp (* eps x)))
(+ 1 (exp (* eps x)))
1
(+ 1 (* -1 (* eps x)))
(+ 1 (* x (+ (* -1 eps) (* 1/2 (* (pow eps 2) x)))))
(+ 1 (* x (+ (* -1 eps) (* x (+ (* -1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2)))))))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
1
(+ 1 (* -1 (* eps x)))
(+ 1 (* eps (+ (* -1 x) (* 1/2 (* eps (pow x 2))))))
(+ 1 (* eps (+ (* -1 x) (* eps (+ (* -1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
(exp (* -1 (* eps x)))
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
(* -1 eps)
1/2
(+ 1/2 (* -1/6 x))
(+ 1/2 (* -1/6 x))
(+ 1/2 (* -1/6 x))
(* -1/6 x)
(* x (- (* 1/2 (/ 1 x)) 1/6))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(* -1/6 x)
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(* 1/4 (* eps x))
(* eps (+ (* 1/4 x) (* 1/4 (* eps x))))
(* eps (+ (* 1/4 x) (* 1/4 (* eps x))))
(* eps (+ (* 1/4 x) (* 1/4 (* eps x))))
(* 1/4 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 1/4 x) (* 1/4 (/ x eps))))
(* (pow eps 2) (+ (* 1/4 x) (* 1/4 (/ x eps))))
(* (pow eps 2) (+ (* 1/4 x) (* 1/4 (/ x eps))))
(* 1/4 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 1/4 x) (* 1/4 (/ x eps))))
(* (pow eps 2) (+ (* 1/4 x) (* 1/4 (/ x eps))))
(* (pow eps 2) (+ (* 1/4 x) (* 1/4 (/ x eps))))
(* eps (* x (+ 1/4 (* 1/4 eps))))
(* eps (* x (+ 1/4 (* 1/4 eps))))
(* eps (* x (+ 1/4 (* 1/4 eps))))
(* eps (* x (+ 1/4 (* 1/4 eps))))
(* eps (* x (+ 1/4 (* 1/4 eps))))
(* eps (* x (+ 1/4 (* 1/4 eps))))
(* eps (* x (+ 1/4 (* 1/4 eps))))
(* eps (* x (+ 1/4 (* 1/4 eps))))
(* eps (* x (+ 1/4 (* 1/4 eps))))
(* eps (* x (+ 1/4 (* 1/4 eps))))
(* eps (* x (+ 1/4 (* 1/4 eps))))
(* eps (* x (+ 1/4 (* 1/4 eps))))
(* 1/4 (* (pow eps 2) x))
(* (pow eps 2) (+ (* 1/4 x) (* 1/4 (* eps x))))
(* (pow eps 2) (+ (* 1/4 x) (* 1/4 (* eps x))))
(* (pow eps 2) (+ (* 1/4 x) (* 1/4 (* eps x))))
(* 1/4 (* (pow eps 3) x))
(* (pow eps 3) (+ (* 1/4 x) (* 1/4 (/ x eps))))
(* (pow eps 3) (+ (* 1/4 x) (* 1/4 (/ x eps))))
(* (pow eps 3) (+ (* 1/4 x) (* 1/4 (/ x eps))))
(* 1/4 (* (pow eps 3) x))
(* -1 (* (pow eps 3) (+ (* -1/4 x) (* -1/4 (/ x eps)))))
(* -1 (* (pow eps 3) (+ (* -1/4 x) (* -1/4 (/ x eps)))))
(* -1 (* (pow eps 3) (+ (* -1/4 x) (* -1/4 (/ x eps)))))
(* (pow eps 2) (* x (+ 1/4 (* 1/4 eps))))
(* (pow eps 2) (* x (+ 1/4 (* 1/4 eps))))
(* (pow eps 2) (* x (+ 1/4 (* 1/4 eps))))
(* (pow eps 2) (* x (+ 1/4 (* 1/4 eps))))
(* (pow eps 2) (* x (+ 1/4 (* 1/4 eps))))
(* (pow eps 2) (* x (+ 1/4 (* 1/4 eps))))
(* (pow eps 2) (* x (+ 1/4 (* 1/4 eps))))
(* (pow eps 2) (* x (+ 1/4 (* 1/4 eps))))
(* (pow eps 2) (* x (+ 1/4 (* 1/4 eps))))
(* (pow eps 2) (* x (+ 1/4 (* 1/4 eps))))
(* (pow eps 2) (* x (+ 1/4 (* 1/4 eps))))
(* (pow eps 2) (* x (+ 1/4 (* 1/4 eps))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (+ eps (* -1 eps)))))
#s(literal 1 binary64)
(+ 1 (* x (+ (* 1/2 (* (pow eps 2) x)) (* 1/2 (+ eps (* -1 eps))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (+ eps (* -1 eps))) (* x (+ (* 1/2 (* x (+ (* -1/6 (pow eps 3)) (* 1/6 (pow eps 3))))) (* 1/2 (pow eps 2)))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))) #s(literal 1 binary64))
(* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x eps))))
(* 1/2 (+ (exp (* -1 (* eps x))) (exp (* eps x))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x (neg.f64 eps))) (exp.f64 (*.f64 x eps))))
1
#s(literal 1 binary64)
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(+ 1 (* x (+ (* 1/2 eps) (* x (+ (* 1/12 (* (pow eps 3) x)) (* 1/4 (pow eps 2)))))))
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) #s(literal 1/12 binary64))) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))
(* 1/2 (+ 1 (exp (* eps x))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64))
(* 1/2 (+ 1 (exp (* eps x))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64))
(* 1/2 (+ 1 (exp (* eps x))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64))
(* 1/2 (+ 1 (exp (* eps x))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64))
(* 1/2 (+ 1 (exp (* eps x))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64))
(* 1/2 (+ 1 (exp (* eps x))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64))
(* 1/2 (+ 1 (exp (* eps x))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64))
(* 1/2 (+ 1 (exp (* eps x))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
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(fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal 1 binary64))
(+ 1 (* eps (+ (* 1/4 (* eps (pow x 2))) (* 1/2 x))))
(fma.f64 x (*.f64 eps (fma.f64 x (*.f64 eps #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+ 1 (* eps (+ (* 1/2 x) (* eps (+ (* 1/12 (* eps (pow x 3))) (* 1/4 (pow x 2)))))))
(fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(* 1/2 (+ 1 (exp (* eps x))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64))
(* 1/2 (+ 1 (exp (* eps x))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64))
(* 1/2 (+ 1 (exp (* eps x))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64))
(* 1/2 (+ 1 (exp (* eps x))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64))
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(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64))
(* 1/2 (+ 1 (exp (* eps x))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64))
(* 1/2 (+ 1 (exp (* eps x))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64))
(* 1/2 (+ 1 (exp (* eps x))))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* eps x))
(fma.f64 x eps #s(literal 2 binary64))
(+ 2 (* x (+ eps (* 1/2 (* (pow eps 2) x)))))
(fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x eps)) x) #s(literal 2 binary64))
(+ 2 (* x (+ eps (* x (+ (* 1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2)))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps))) (*.f64 #s(literal 1/2 binary64) (*.f64 eps eps))) eps) #s(literal 2 binary64))
(+ 1 (exp (* eps x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))
(+ 1 (exp (* eps x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))
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(+ 1 (exp (* eps x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))
2
#s(literal 2 binary64)
(+ 2 (* eps x))
(fma.f64 x eps #s(literal 2 binary64))
(+ 2 (* eps (+ x (* 1/2 (* eps (pow x 2))))))
(fma.f64 eps (fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x eps)) x) #s(literal 2 binary64))
(+ 2 (* eps (+ x (* eps (+ (* 1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))
(fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) #s(literal 2 binary64))
(+ 1 (exp (* eps x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))
(+ 1 (exp (* eps x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))
(+ 1 (exp (* eps x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))
(+ 1 (exp (* eps x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))
(+ 1 (exp (* eps x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))
(+ 1 (exp (* eps x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))
(+ 1 (exp (* eps x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))
(+ 1 (exp (* eps x)))
(+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x eps)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* eps x)))
(-.f64 #s(literal 1 binary64) (*.f64 x eps))
(+ 1 (* x (+ (* -1 eps) (* 1/2 (* (pow eps 2) x)))))
(fma.f64 eps (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* x (+ (* -1 eps) (* x (+ (* -1/6 (* (pow eps 3) x)) (* 1/2 (pow eps 2)))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) (*.f64 #s(literal -1/6 binary64) (*.f64 x (*.f64 eps (*.f64 eps eps))))) (neg.f64 eps)) #s(literal 1 binary64))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 x (neg.f64 eps)))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 x (neg.f64 eps)))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 x (neg.f64 eps)))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 x (neg.f64 eps)))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 x (neg.f64 eps)))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 x (neg.f64 eps)))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 x (neg.f64 eps)))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 x (neg.f64 eps)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* eps x)))
(-.f64 #s(literal 1 binary64) (*.f64 x eps))
(+ 1 (* eps (+ (* -1 x) (* 1/2 (* eps (pow x 2))))))
(fma.f64 eps (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* eps (+ (* -1 x) (* eps (+ (* -1/6 (* eps (pow x 3))) (* 1/2 (pow x 2)))))))
(fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal -1/6 binary64)) x #s(literal 1/2 binary64))) (neg.f64 x)) #s(literal 1 binary64))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 x (neg.f64 eps)))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 x (neg.f64 eps)))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 x (neg.f64 eps)))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 x (neg.f64 eps)))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 x (neg.f64 eps)))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 x (neg.f64 eps)))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 x (neg.f64 eps)))
(exp (* -1 (* eps x)))
(exp.f64 (*.f64 x (neg.f64 eps)))
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
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(neg.f64 eps)
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(neg.f64 eps)
(* -1 eps)
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(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
(* -1 eps)
(neg.f64 eps)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/6 x))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/6 x))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* -1/6 x))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(*.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(*.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(*.f64 x (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(*.f64 (neg.f64 x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(* 1/4 (* eps x))
(*.f64 x (*.f64 eps #s(literal 1/4 binary64)))
(* eps (+ (* 1/4 x) (* 1/4 (* eps x))))
(*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(* eps (+ (* 1/4 x) (* 1/4 (* eps x))))
(*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(* eps (+ (* 1/4 x) (* 1/4 (* eps x))))
(*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(* 1/4 (* (pow eps 2) x))
(*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))
(* (pow eps 2) (+ (* 1/4 x) (* 1/4 (/ x eps))))
(*.f64 (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)) (+.f64 x (/.f64 x eps)))
(* (pow eps 2) (+ (* 1/4 x) (* 1/4 (/ x eps))))
(*.f64 (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)) (+.f64 x (/.f64 x eps)))
(* (pow eps 2) (+ (* 1/4 x) (* 1/4 (/ x eps))))
(*.f64 (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)) (+.f64 x (/.f64 x eps)))
(* 1/4 (* (pow eps 2) x))
(*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))
(* (pow eps 2) (+ (* 1/4 x) (* 1/4 (/ x eps))))
(*.f64 (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)) (+.f64 x (/.f64 x eps)))
(* (pow eps 2) (+ (* 1/4 x) (* 1/4 (/ x eps))))
(*.f64 (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)) (+.f64 x (/.f64 x eps)))
(* (pow eps 2) (+ (* 1/4 x) (* 1/4 (/ x eps))))
(*.f64 (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)) (+.f64 x (/.f64 x eps)))
(* eps (* x (+ 1/4 (* 1/4 eps))))
(*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(* eps (* x (+ 1/4 (* 1/4 eps))))
(*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(* eps (* x (+ 1/4 (* 1/4 eps))))
(*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(* eps (* x (+ 1/4 (* 1/4 eps))))
(*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(* eps (* x (+ 1/4 (* 1/4 eps))))
(*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(* eps (* x (+ 1/4 (* 1/4 eps))))
(*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(* eps (* x (+ 1/4 (* 1/4 eps))))
(*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(* eps (* x (+ 1/4 (* 1/4 eps))))
(*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(* eps (* x (+ 1/4 (* 1/4 eps))))
(*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(* eps (* x (+ 1/4 (* 1/4 eps))))
(*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(* eps (* x (+ 1/4 (* 1/4 eps))))
(*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(* eps (* x (+ 1/4 (* 1/4 eps))))
(*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64))))
(* 1/4 (* (pow eps 2) x))
(*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))
(* (pow eps 2) (+ (* 1/4 x) (* 1/4 (* eps x))))
(*.f64 eps (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(* (pow eps 2) (+ (* 1/4 x) (* 1/4 (* eps x))))
(*.f64 eps (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(* (pow eps 2) (+ (* 1/4 x) (* 1/4 (* eps x))))
(*.f64 eps (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(* 1/4 (* (pow eps 3) x))
(*.f64 eps (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))))
(* (pow eps 3) (+ (* 1/4 x) (* 1/4 (/ x eps))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) eps))))
(* (pow eps 3) (+ (* 1/4 x) (* 1/4 (/ x eps))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) eps))))
(* (pow eps 3) (+ (* 1/4 x) (* 1/4 (/ x eps))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) eps))))
(* 1/4 (* (pow eps 3) x))
(*.f64 eps (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))))
(* -1 (* (pow eps 3) (+ (* -1/4 x) (* -1/4 (/ x eps)))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) eps))))
(* -1 (* (pow eps 3) (+ (* -1/4 x) (* -1/4 (/ x eps)))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) eps))))
(* -1 (* (pow eps 3) (+ (* -1/4 x) (* -1/4 (/ x eps)))))
(*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) eps))))
(* (pow eps 2) (* x (+ 1/4 (* 1/4 eps))))
(*.f64 eps (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(* (pow eps 2) (* x (+ 1/4 (* 1/4 eps))))
(*.f64 eps (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(* (pow eps 2) (* x (+ 1/4 (* 1/4 eps))))
(*.f64 eps (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(* (pow eps 2) (* x (+ 1/4 (* 1/4 eps))))
(*.f64 eps (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(* (pow eps 2) (* x (+ 1/4 (* 1/4 eps))))
(*.f64 eps (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(* (pow eps 2) (* x (+ 1/4 (* 1/4 eps))))
(*.f64 eps (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(* (pow eps 2) (* x (+ 1/4 (* 1/4 eps))))
(*.f64 eps (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(* (pow eps 2) (* x (+ 1/4 (* 1/4 eps))))
(*.f64 eps (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(* (pow eps 2) (* x (+ 1/4 (* 1/4 eps))))
(*.f64 eps (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(* (pow eps 2) (* x (+ 1/4 (* 1/4 eps))))
(*.f64 eps (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(* (pow eps 2) (* x (+ 1/4 (* 1/4 eps))))
(*.f64 eps (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))
(* (pow eps 2) (* x (+ 1/4 (* 1/4 eps))))
(*.f64 eps (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))

eval168.0ms (1.1%)

Memory
-7.5MiB live, 345.6MiB allocated
Compiler

Compiled 46 237 to 3 270 computations (92.9% saved)

prune164.0ms (1%)

Memory
10.4MiB live, 249.5MiB allocated
Pruning

27 alts after pruning (23 fresh and 4 done)

PrunedKeptTotal
New1 158121 170
Fresh131124
Picked415
Done033
Total1 175271 202
Accuracy
100.0%
Counts
1 202 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.4%
(fma.f64 (fma.f64 x eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))
✓40.2%
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
40.2%
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
52.9%
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
✓40.1%
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
56.9%
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
66.6%
(fma.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
58.6%
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) #s(literal 1/12 binary64))) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))
50.7%
(fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/12 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/4 binary64))) (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
71.8%
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 x #s(literal 1/4 binary64)) (fma.f64 eps eps (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) #s(literal 1 binary64))
74.4%
(fma.f64 x (/.f64 (*.f64 eps (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) eps) #s(literal 1 binary64))
60.1%
(fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
51.4%
(fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal 1 binary64))
70.2%
(fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))) #s(literal 1 binary64))
32.2%
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
36.1%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) #s(literal -1 binary64))) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
1.7%
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
84.8%
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 binary64))
64.9%
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
40.9%
(*.f64 x (*.f64 x (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) eps)))
45.5%
(*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))))
16.5%
(*.f64 x (exp.f64 (neg.f64 x)))
43.5%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (-.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))) (exp.f64 x))))
40.0%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (+.f64 x (+.f64 x #s(literal 2 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
55.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
✓14.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
✓41.0%
#s(literal 1 binary64)
Compiler

Compiled 1 650 to 553 computations (66.5% saved)

regimes69.0ms (0.4%)

Memory
7.6MiB live, 123.6MiB allocated
Counts
66 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 x eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
(*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (-.f64 (*.f64 x eps) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1/4 binary64) eps) #s(literal 1/4 binary64)))))
(fma.f64 x (*.f64 eps (*.f64 eps (*.f64 x (+.f64 (/.f64 #s(literal 1/4 binary64) eps) #s(literal 1/4 binary64))))) #s(literal 1 binary64))
(fma.f64 x (/.f64 (*.f64 eps (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) eps) #s(literal 1 binary64))
(fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(*.f64 x (*.f64 x (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) eps)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))) (+.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) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 x #s(literal 1/4 binary64)) (fma.f64 eps eps (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/12 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/4 binary64))) (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) #s(literal 1/12 binary64))) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))
(fma.f64 x (/.f64 (fma.f64 x (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (*.f64 eps (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))) eps) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.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))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) (*.f64 eps (fma.f64 x (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))) eps)
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (+.f64 x (+.f64 x #s(literal 2 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 1/6 binary64) x)))) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))))) #s(literal 1 binary64))
(*.f64 x (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) #s(literal -1 binary64))) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (fma.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 (+.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 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(fma.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64))
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) eps) (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) eps)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.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 (fma.f64 x (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) #s(literal -1 binary64))) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (-.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))) (exp.f64 x))))
(/.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 #s(literal -1 binary64) (fma.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 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))
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Calls

4 calls:

18.0ms
eps
18.0ms
x
15.0ms
(/.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))
14.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
98.5%1x
98.5%1eps
98.5%1(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
98.5%1(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes68.0ms (0.4%)

Memory
-0.9MiB live, 118.0MiB allocated
Counts
64 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 x eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
(*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (-.f64 (*.f64 x eps) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1/4 binary64) eps) #s(literal 1/4 binary64)))))
(fma.f64 x (*.f64 eps (*.f64 eps (*.f64 x (+.f64 (/.f64 #s(literal 1/4 binary64) eps) #s(literal 1/4 binary64))))) #s(literal 1 binary64))
(fma.f64 x (/.f64 (*.f64 eps (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) eps) #s(literal 1 binary64))
(fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(*.f64 x (*.f64 x (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) eps)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))) (+.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) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 x #s(literal 1/4 binary64)) (fma.f64 eps eps (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/12 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/4 binary64))) (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) #s(literal 1/12 binary64))) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))
(fma.f64 x (/.f64 (fma.f64 x (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (*.f64 eps (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))) eps) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.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))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) (*.f64 eps (fma.f64 x (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))) eps)
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (+.f64 x (+.f64 x #s(literal 2 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 1/6 binary64) x)))) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))))) #s(literal 1 binary64))
(*.f64 x (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) #s(literal -1 binary64))) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (fma.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 (+.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 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(fma.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64))
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) eps) (-.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal -1 binary64) eps)) (neg.f64 (*.f64 (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) eps) (+.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) eps)))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))) x) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.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 (fma.f64 x (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) #s(literal -1 binary64))) #s(literal 1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (-.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))) (exp.f64 x))))
(/.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 #s(literal -1 binary64) (fma.f64 x (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x eps x) (+.f64 eps #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) eps))) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (neg.f64 eps)))))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 binary64))
Calls

4 calls:

18.0ms
x
17.0ms
eps
16.0ms
(-.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)))))
13.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
91.0%2x
100.0%2eps
100.0%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))
100.0%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)

regimes38.0ms (0.2%)

Memory
21.6MiB live, 60.0MiB allocated
Counts
49 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 x eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
(*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (-.f64 (*.f64 x eps) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1/4 binary64) eps) #s(literal 1/4 binary64)))))
(fma.f64 x (*.f64 eps (*.f64 eps (*.f64 x (+.f64 (/.f64 #s(literal 1/4 binary64) eps) #s(literal 1/4 binary64))))) #s(literal 1 binary64))
(fma.f64 x (/.f64 (*.f64 eps (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) eps) #s(literal 1 binary64))
(fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(*.f64 x (*.f64 x (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) eps)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))) (+.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) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 x #s(literal 1/4 binary64)) (fma.f64 eps eps (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/12 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/4 binary64))) (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) #s(literal 1/12 binary64))) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))
(fma.f64 x (/.f64 (fma.f64 x (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (*.f64 eps (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))) eps) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.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))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) (*.f64 eps (fma.f64 x (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))) eps)
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (+.f64 x (+.f64 x #s(literal 2 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 1/6 binary64) x)))) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))))) #s(literal 1 binary64))
(*.f64 x (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) #s(literal -1 binary64))) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (fma.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 (+.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 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(fma.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64))
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 binary64))
Calls

3 calls:

13.0ms
eps
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
100.0%2eps
100.0%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))
100.0%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 63 to 38 computations (39.7% saved)

regimes45.0ms (0.3%)

Memory
-37.0MiB live, 64.9MiB allocated
Counts
48 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 x eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
(*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (-.f64 (*.f64 x eps) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1/4 binary64) eps) #s(literal 1/4 binary64)))))
(fma.f64 x (*.f64 eps (*.f64 eps (*.f64 x (+.f64 (/.f64 #s(literal 1/4 binary64) eps) #s(literal 1/4 binary64))))) #s(literal 1 binary64))
(fma.f64 x (/.f64 (*.f64 eps (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) eps) #s(literal 1 binary64))
(fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(*.f64 x (*.f64 x (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) eps)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))) (+.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) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 x #s(literal 1/4 binary64)) (fma.f64 eps eps (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/12 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/4 binary64))) (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) #s(literal 1/12 binary64))) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))
(fma.f64 x (/.f64 (fma.f64 x (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (*.f64 eps (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))) eps) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.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))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) (*.f64 eps (fma.f64 x (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))) eps)
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (+.f64 x (+.f64 x #s(literal 2 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 1/6 binary64) x)))) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))))) #s(literal 1 binary64))
(*.f64 x (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) #s(literal -1 binary64))) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (fma.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 (+.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 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(fma.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64))
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
Outputs
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 binary64))
Calls

3 calls:

17.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
15.0ms
eps
10.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
98.5%2eps
98.7%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))
98.7%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 63 to 38 computations (39.7% saved)

regimes38.0ms (0.2%)

Memory
-6.7MiB live, 70.7MiB allocated
Counts
46 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 x eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
(*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (-.f64 (*.f64 x eps) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1/4 binary64) eps) #s(literal 1/4 binary64)))))
(fma.f64 x (*.f64 eps (*.f64 eps (*.f64 x (+.f64 (/.f64 #s(literal 1/4 binary64) eps) #s(literal 1/4 binary64))))) #s(literal 1 binary64))
(fma.f64 x (/.f64 (*.f64 eps (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) eps) #s(literal 1 binary64))
(fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(*.f64 x (*.f64 x (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) eps)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))) (+.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) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 x #s(literal 1/4 binary64)) (fma.f64 eps eps (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/12 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/4 binary64))) (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) #s(literal 1/12 binary64))) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))
(fma.f64 x (/.f64 (fma.f64 x (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (*.f64 eps (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))) eps) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.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))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) (*.f64 eps (fma.f64 x (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))) eps)
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (+.f64 x (+.f64 x #s(literal 2 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 1/6 binary64) x)))) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))))) #s(literal 1 binary64))
(*.f64 x (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) #s(literal -1 binary64))) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x (+.f64 eps (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64)))) (*.f64 x (fma.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal -1 binary64)) #s(literal 1/6 binary64)) (*.f64 (*.f64 (+.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 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64)))
(fma.f64 (exp.f64 (*.f64 x eps)) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (*.f64 x eps)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (exp.f64 (-.f64 (*.f64 x eps) x)) #s(literal 1/2 binary64))
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))
Outputs
(*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64))
(*.f64 x (*.f64 x (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) eps)))
Calls

3 calls:

14.0ms
eps
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)))))
10.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
90.0%2eps
92.5%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))
92.5%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 63 to 38 computations (39.7% saved)

regimes59.0ms (0.4%)

Memory
13.8MiB live, 55.8MiB allocated
Counts
39 → 4
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 x eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
(*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (-.f64 (*.f64 x eps) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1/4 binary64) eps) #s(literal 1/4 binary64)))))
(fma.f64 x (*.f64 eps (*.f64 eps (*.f64 x (+.f64 (/.f64 #s(literal 1/4 binary64) eps) #s(literal 1/4 binary64))))) #s(literal 1 binary64))
(fma.f64 x (/.f64 (*.f64 eps (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) eps) #s(literal 1 binary64))
(fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(*.f64 x (*.f64 x (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) eps)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))) (+.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) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 x #s(literal 1/4 binary64)) (fma.f64 eps eps (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/12 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/4 binary64))) (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) #s(literal 1/12 binary64))) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))
(fma.f64 x (/.f64 (fma.f64 x (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/4 binary64)) (*.f64 eps (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)))))) eps) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.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))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) (*.f64 eps (fma.f64 x (*.f64 eps (*.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) (fma.f64 x (*.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))) eps)
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)) (+.f64 x (+.f64 x #s(literal 2 binary64)))) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/6 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (*.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 #s(literal 1/6 binary64) x)))) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x eps x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal -1/4 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))))) #s(literal 1 binary64))
(*.f64 x (exp.f64 (neg.f64 x)))
Outputs
(fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/12 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/4 binary64))) (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) #s(literal 1/12 binary64))) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
Calls

4 calls:

26.0ms
(/.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
x
11.0ms
eps
9.0ms
(-.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
74.4%1eps
86.2%4x
79.1%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))
79.1%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)

regimes17.0ms (0.1%)

Memory
-25.4MiB live, 13.1MiB allocated
Counts
30 → 4
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 x eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
(*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (-.f64 (*.f64 x eps) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1/4 binary64) eps) #s(literal 1/4 binary64)))))
(fma.f64 x (*.f64 eps (*.f64 eps (*.f64 x (+.f64 (/.f64 #s(literal 1/4 binary64) eps) #s(literal 1/4 binary64))))) #s(literal 1 binary64))
(fma.f64 x (/.f64 (*.f64 eps (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) eps) #s(literal 1 binary64))
(fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(*.f64 x (*.f64 x (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) eps)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))) (+.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) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 x #s(literal 1/4 binary64)) (fma.f64 eps eps (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/12 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/4 binary64))) (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
Outputs
(fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/12 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/4 binary64))) (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))) #s(literal 1 binary64))
(fma.f64 x (/.f64 (*.f64 eps (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) eps) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
85.8%4x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
14.3MiB live, 14.3MiB allocated
Counts
29 → 4
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 x eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
(*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (-.f64 (*.f64 x eps) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1/4 binary64) eps) #s(literal 1/4 binary64)))))
(fma.f64 x (*.f64 eps (*.f64 eps (*.f64 x (+.f64 (/.f64 #s(literal 1/4 binary64) eps) #s(literal 1/4 binary64))))) #s(literal 1 binary64))
(fma.f64 x (/.f64 (*.f64 eps (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) eps) #s(literal 1 binary64))
(fma.f64 eps (fma.f64 eps (*.f64 (*.f64 x x) (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal 1/4 binary64))) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(*.f64 x (*.f64 x (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) eps)))
(*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (fma.f64 x eps x) (fma.f64 x eps x))) (+.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) (/.f64 #s(literal 1 binary64) eps))) #s(literal 2 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) (*.f64 (*.f64 x #s(literal 1/4 binary64)) (fma.f64 eps eps (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))))) #s(literal 1 binary64))
Outputs
(fma.f64 x (/.f64 (*.f64 eps (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) eps) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))) #s(literal 1 binary64))
(fma.f64 x (/.f64 (*.f64 eps (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) eps) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
Calls

1 calls:

9.0ms
x
Results
AccuracySegmentsBranch
85.1%4x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes8.0ms (0.1%)

Memory
15.5MiB live, 15.5MiB allocated
Counts
23 → 4
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 x eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
(*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 x (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (-.f64 (*.f64 x eps) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(*.f64 (*.f64 eps eps) (*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1/4 binary64) eps) #s(literal 1/4 binary64)))))
(fma.f64 x (*.f64 eps (*.f64 eps (*.f64 x (+.f64 (/.f64 #s(literal 1/4 binary64) eps) #s(literal 1/4 binary64))))) #s(literal 1 binary64))
Outputs
(fma.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
82.8%4x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory
-6.9MiB live, 30.7MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 x eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
(*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))) #s(literal 1 binary64))
Outputs
(fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
Calls

3 calls:

6.0ms
x
4.0ms
(-.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)))))
4.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
76.5%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))
76.5%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)))))
77.0%2x
Compiler

Compiled 63 to 38 computations (39.7% saved)

regimes14.0ms (0.1%)

Memory
-9.6MiB live, 29.0MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 x eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
(*.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))))
Outputs
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps))))
Calls

3 calls:

5.0ms
(-.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)))))
4.0ms
x
4.0ms
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
76.4%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))
76.4%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)))))
74.3%3x
Compiler

Compiled 63 to 38 computations (39.7% saved)

regimes19.0ms (0.1%)

Memory
-10.6MiB live, 31.0MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 x eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 eps (+.f64 #s(literal 1 binary64) eps)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
Outputs
(fma.f64 (fma.f64 x eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
Calls

4 calls:

8.0ms
x
4.0ms
eps
3.0ms
(/.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))
3.0ms
(-.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
58.7%2x
54.6%2eps
52.9%1(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
52.9%1(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes4.0ms (0%)

Memory
5.9MiB live, 5.9MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 x eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
Outputs
(fma.f64 (fma.f64 x eps x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal 1 binary64))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
57.1%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
16.4MiB live, 16.4MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal 1 binary64))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
Outputs
(fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal 1 binary64))
Calls

4 calls:

3.0ms
eps
3.0ms
x
2.0ms
(/.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))
2.0ms
(-.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
51.4%1(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
51.4%1(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
51.4%1eps
51.4%1x
Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes7.0ms (0%)

Memory
16.2MiB live, 16.2MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(*.f64 (*.f64 x x) #s(literal -1/2 binary64))
Outputs
#s(literal 1 binary64)
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
Calls

4 calls:

2.0ms
x
2.0ms
eps
2.0ms
(/.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))
2.0ms
(-.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
52.6%2x
52.1%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))
52.1%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)))))
46.8%2eps
Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes7.0ms (0%)

Memory
-25.4MiB live, 11.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

3.0ms
x
1.0ms
eps
1.0ms
(/.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))
1.0ms
(-.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
41.0%1eps
41.0%1(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
41.0%1(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
41.0%1x
Compiler

Compiled 66 to 40 computations (39.4% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
2.0
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
2.0
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
2.0
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.1073154312334568
+inf
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch113.0ms (0.7%)

Memory
-4.5MiB live, 188.6MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
29.0ms
29.827907522393676
9918.8602572368
32.0ms
3.906306535732876e-187
5.633734968806893e-183
39.0ms
-2.0493812350388796e-256
-5.173139763958816e-268
Samples
46.0ms146×1valid
31.0ms257×0valid
5.0ms10×2valid
2.0ms3×3valid
Compiler

Compiled 1 044 to 656 computations (37.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-mult: 18.0ms (25.8% of total)
ival-exp: 17.0ms (24.3% of total)
ival-div: 9.0ms (12.9% of total)
ival-sub: 8.0ms (11.5% of total)
adjust: 6.0ms (8.6% of total)
ival-add: 6.0ms (8.6% of total)
ival-neg: 5.0ms (7.2% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch113.0ms (0.7%)

Memory
25.5MiB live, 183.5MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
29.0ms
29.827907522393676
9918.8602572368
37.0ms
3.906306535732876e-187
5.633734968806893e-183
36.0ms
-2.0493812350388796e-256
-5.173139763958816e-268
Samples
45.0ms147×1valid
36.0ms260×0valid
5.0ms9×2valid
Compiler

Compiled 916 to 576 computations (37.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 73.0ms
ival-exp: 16.0ms (22.1% of total)
ival-mult: 13.0ms (17.9% of total)
ival-add: 11.0ms (15.2% of total)
ival-sub: 10.0ms (13.8% of total)
ival-div: 9.0ms (12.4% of total)
adjust: 6.0ms (8.3% of total)
ival-neg: 6.0ms (8.3% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch124.0ms (0.8%)

Memory
-12.4MiB live, 141.5MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
22.0ms
29.827907522393676
9918.8602572368
44.0ms
3.906306535732876e-187
5.633734968806893e-183
40.0ms
-2.0493812350388796e-256
-5.173139763958816e-268
Samples
48.0ms279×0valid
41.0ms136×1valid
1.0ms1×2valid
Compiler

Compiled 806 to 536 computations (33.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-mult: 29.0ms (37.7% of total)
ival-exp: 16.0ms (20.8% of total)
ival-sub: 8.0ms (10.4% of total)
ival-div: 8.0ms (10.4% of total)
adjust: 5.0ms (6.5% of total)
ival-neg: 5.0ms (6.5% of total)
ival-add: 5.0ms (6.5% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch114.0ms (0.7%)

Memory
19.4MiB live, 170.2MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
31.0ms
29.827907522393676
9918.8602572368
33.0ms
3.906306535732876e-187
5.633734968806893e-183
36.0ms
-2.0493812350388796e-256
-5.173139763958816e-268
Samples
55.0ms166×1valid
31.0ms249×0valid
1.0ms1×2valid
Compiler

Compiled 702 to 484 computations (31.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-exp: 20.0ms (28% of total)
ival-mult: 14.0ms (19.6% of total)
ival-div: 9.0ms (12.6% of total)
ival-sub: 8.0ms (11.2% of total)
ival-neg: 7.0ms (9.8% of total)
adjust: 6.0ms (8.4% of total)
ival-add: 6.0ms (8.4% of total)
exact: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch37.0ms (0.2%)

Memory
-16.2MiB live, 64.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
31.0ms
29.827907522393676
9918.8602572368
Samples
16.0ms48×1valid
9.0ms77×0valid
2.0ms3×2valid
Compiler

Compiled 234 to 160 computations (31.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-exp: 7.0ms (31.4% of total)
ival-mult: 4.0ms (17.9% of total)
ival-sub: 3.0ms (13.4% of total)
ival-div: 3.0ms (13.4% of total)
adjust: 2.0ms (9% of total)
ival-neg: 2.0ms (9% of total)
ival-add: 2.0ms (9% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.1073154312334568
+inf
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch36.0ms (0.2%)

Memory
22.8MiB live, 60.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
32.0ms
-112437918.75976624
-1.7222400373292843
Samples
15.0ms46×1valid
12.0ms98×0valid
0.0ms2×1exit
Compiler

Compiled 232 to 168 computations (27.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-exp: 6.0ms (26.8% of total)
ival-mult: 5.0ms (22.3% of total)
ival-div: 4.0ms (17.8% of total)
ival-sub: 3.0ms (13.4% of total)
ival-add: 2.0ms (8.9% of total)
adjust: 2.0ms (8.9% of total)
ival-neg: 2.0ms (8.9% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch38.0ms (0.2%)

Memory
-15.0MiB live, 61.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
33.0ms
-112437918.75976624
-1.7222400373292843
Samples
15.0ms45×1valid
11.0ms99×0valid
2.0ms10×1exit
Compiler

Compiled 205 to 150 computations (26.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-exp: 7.0ms (30.9% of total)
ival-mult: 5.0ms (22% of total)
ival-sub: 3.0ms (13.2% of total)
ival-div: 3.0ms (13.2% of total)
adjust: 2.0ms (8.8% of total)
ival-neg: 2.0ms (8.8% of total)
ival-add: 2.0ms (8.8% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch34.0ms (0.2%)

Memory
9.3MiB live, 56.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
31.0ms
3.431237494166689e-18
4.0962120535039315e-16
Samples
17.0ms76×0valid
11.0ms36×1valid
Compiler

Compiled 118 to 94 computations (20.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 12.0ms (49.7% of total)
ival-exp: 4.0ms (16.6% of total)
ival-sub: 2.0ms (8.3% of total)
ival-div: 2.0ms (8.3% of total)
adjust: 1.0ms (4.1% of total)
ival-neg: 1.0ms (4.1% of total)
ival-add: 1.0ms (4.1% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

simplify73.0ms (0.5%)

Memory
11.7MiB live, 80.5MiB allocated
Algorithm
1×egg-herbie
Rules
426×distribute-lft-neg-in_binary64
226×neg-mul-1_binary64
216×neg-sub0_binary64
152×*-commutative_binary64
152×sub-neg_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0145585
1209585
2250575
3301575
4359575
5497575
6691575
7858575
81004575
91110575
101170575
111205575
121223575
131236575
141255575
151270575
161280575
171283575
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(if (<=.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 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 binary64)))
(if (<=.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 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 binary64)))
(if (<=.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 0 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 binary64)))
(if (<=.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 4 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) eps))))
(if (<=.f64 x #s(literal -2299137799502415/33810849992682575766549746234657062817206228866311777416189485377707129763630391006362704376810060025259161279568456235448470243808171874384034494621628132922136747775936325386798817131291292227393550906125516057865473810736099951285657401521090334495330469177455231893504 binary64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/12 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/4 binary64))) (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 8622034626756923/9797766621314684873895700802803279209044463565243731922466831101232640732633100491228823617617764419367505179450247842283955649007454149170085442756585554871624752266571753841250508572690789992495054848 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 720 binary64)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) #s(literal 1/12 binary64))) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))))
(if (<=.f64 x #s(literal -1418129833677085/4431655730240890570873208338468970537576854829965217289494788227426828912378562609985972388077248187630768787235596695692701891796424703919264169279046042638370307804487526041098494559032612254828927504367683640736543383320802092814913686932172352322971955256027412154745356288 binary64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/12 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/4 binary64))) (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1273709660770909/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 800 binary64)) (fma.f64 x (/.f64 (*.f64 eps (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) eps) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))))
(if (<=.f64 x #s(literal -7267915397595061/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304 binary64)) (fma.f64 x (/.f64 (*.f64 eps (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) eps) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 8230123961904335/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1050 binary64)) (fma.f64 x (/.f64 (*.f64 eps (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) eps) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))))
(if (<=.f64 x #s(literal -6762169998536515/33810849992682575766549746234657062817206228866311777416189485377707129763630391006362704376810060025259161279568456235448470243808171874384034494621628132922136747775936325386798817131291292227393550906125516057865473810736099951285657401521090334495330469177455231893504 binary64)) (fma.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 551124372448951/1224720827664335609236962600350409901130557945655466490308353887654080091579137561403602952202220552420938147431280980285494456125931768646260680344573194358953094033321469230156313571586348749061881856 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 240 binary64)) (fma.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))))
(if (<=.f64 x #s(literal 220 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))
(if (<=.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 4 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))
(if (<=.f64 x #s(literal -90 binary64)) (fma.f64 (fma.f64 x eps x) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -7/4 binary64)) (fma.f64 (fma.f64 x eps x) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 2028240960365167/5070602400912917605986812821504 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))
#s(literal 1 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(if (<=.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 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 binary64)))
(if (<=.f64 (+.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)))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps)))))
(if (<=.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 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 binary64)))
(if (<=.f64 (+.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)))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 x (+.f64 x #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps)))))
(if (<=.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 0 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps))) #s(literal 1/2 binary64)))
(if (<=.f64 (+.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)))) #s(literal 0 binary64)) (exp.f64 (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (*.f64 x eps)))))
(if (<=.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 4 binary64)) (*.f64 (exp.f64 (neg.f64 x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) eps))))
(if (<=.f64 (+.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)))) #s(literal 4 binary64)) (exp.f64 (neg.f64 x)) (*.f64 x (*.f64 x (/.f64 (fma.f64 eps (fma.f64 eps (fma.f64 eps #s(literal 1/4 binary64) #s(literal 1/4 binary64)) #s(literal -1/4 binary64)) #s(literal -1/4 binary64)) eps))))
(if (<=.f64 x #s(literal -2299137799502415/33810849992682575766549746234657062817206228866311777416189485377707129763630391006362704376810060025259161279568456235448470243808171874384034494621628132922136747775936325386798817131291292227393550906125516057865473810736099951285657401521090334495330469177455231893504 binary64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/12 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/4 binary64))) (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 8622034626756923/9797766621314684873895700802803279209044463565243731922466831101232640732633100491228823617617764419367505179450247842283955649007454149170085442756585554871624752266571753841250508572690789992495054848 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 720 binary64)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) #s(literal 1/12 binary64))) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))))
(if (<=.f64 x #s(literal -2299137799502415/33810849992682575766549746234657062817206228866311777416189485377707129763630391006362704376810060025259161279568456235448470243808171874384034494621628132922136747775936325386798817131291292227393550906125516057865473810736099951285657401521090334495330469177455231893504 binary64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 (*.f64 x #s(literal -1/12 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal 1/4 binary64))) (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 8622034626756923/9797766621314684873895700802803279209044463565243731922466831101232640732633100491228823617617764419367505179450247842283955649007454149170085442756585554871624752266571753841250508572690789992495054848 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 720 binary64)) (fma.f64 x (fma.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/4 binary64)) (*.f64 (*.f64 x (*.f64 eps (*.f64 eps eps))) #s(literal 1/12 binary64))) (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))))
(if (<=.f64 x #s(literal -1418129833677085/4431655730240890570873208338468970537576854829965217289494788227426828912378562609985972388077248187630768787235596695692701891796424703919264169279046042638370307804487526041098494559032612254828927504367683640736543383320802092814913686932172352322971955256027412154745356288 binary64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 (*.f64 x #s(literal -1/12 binary64)) (+.f64 #s(literal 1 binary64) eps) #s(literal 1/4 binary64))) (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1273709660770909/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 800 binary64)) (fma.f64 x (/.f64 (*.f64 eps (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) eps) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))))
(if (<=.f64 x #s(literal -1418129833677085/4431655730240890570873208338468970537576854829965217289494788227426828912378562609985972388077248187630768787235596695692701891796424703919264169279046042638370307804487526041098494559032612254828927504367683640736543383320802092814913686932172352322971955256027412154745356288 binary64)) (fma.f64 x (fma.f64 x (*.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (fma.f64 (*.f64 x #s(literal -1/12 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal 1/4 binary64))) (fma.f64 eps #s(literal -1/2 binary64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1273709660770909/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 800 binary64)) (fma.f64 x (/.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 eps eps)))) eps) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))))
(if (<=.f64 x #s(literal -7267915397595061/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304 binary64)) (fma.f64 x (/.f64 (*.f64 eps (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) eps) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 8230123961904335/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1050 binary64)) (fma.f64 x (/.f64 (*.f64 eps (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64)))) eps) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))))
(if (<=.f64 x #s(literal -7267915397595061/35453245841927124566985666707751764300614838639721738315958305819414631299028500879887779104617985501046150297884773565541615134371397631354113354232368341106962462435900208328787956472260898038631420034941469125892347066566416742519309495457378818583775642048219297237962850304 binary64)) (fma.f64 x (/.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 eps eps)))) eps) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 8230123961904335/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 1050 binary64)) (fma.f64 x (/.f64 (*.f64 eps (*.f64 x (*.f64 #s(literal 1/4 binary64) (*.f64 eps eps)))) eps) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))))
(if (<=.f64 x #s(literal -6762169998536515/33810849992682575766549746234657062817206228866311777416189485377707129763630391006362704376810060025259161279568456235448470243808171874384034494621628132922136747775936325386798817131291292227393550906125516057865473810736099951285657401521090334495330469177455231893504 binary64)) (fma.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 551124372448951/1224720827664335609236962600350409901130557945655466490308353887654080091579137561403602952202220552420938147431280980285494456125931768646260680344573194358953094033321469230156313571586348749061881856 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))) #s(literal 1 binary64)) (if (<=.f64 x #s(literal 240 binary64)) (fma.f64 x (*.f64 x (*.f64 (*.f64 eps eps) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))))
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(if (<=.f64 x #s(literal 220 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 eps (*.f64 x (*.f64 x eps))) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))
(if (<=.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 4 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))
(if (<=.f64 (+.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)))) #s(literal 4 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 eps eps)))))
(if (<=.f64 x #s(literal -90 binary64)) (fma.f64 (fma.f64 x eps x) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -7/4 binary64)) (fma.f64 (fma.f64 x eps x) #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x eps) #s(literal 1 binary64))
(if (<=.f64 x #s(literal 2028240960365167/5070602400912917605986812821504 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 x eps)))
#s(literal 1 binary64)

soundness2.3s (14.2%)

Memory
-44.7MiB live, 1 460.1MiB allocated
Rules
16 366×accelerator-lowering-fma.f32
16 366×accelerator-lowering-fma.f64
16 322×accelerator-lowering-fma.f32
16 322×accelerator-lowering-fma.f64
15 860×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06786586
123715805
278085788
087445499
02993116
19752807
234052490
083612351
044217
1282209
22461209
09316182
04774188
116123989
254433815
083243626
04463781
114403689
245733493
081363278
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
Compiler

Compiled 1 245 to 650 computations (47.8% saved)

preprocess123.0ms (0.8%)

Memory
34.7MiB live, 227.4MiB allocated
Remove

(abs eps)

Compiler

Compiled 1 312 to 382 computations (70.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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