NMSE Section 6.1 mentioned, A

Time bar (total: 16.0s)

analyze28.0ms (0.2%)

Memory
5.6MiB live, 44.5MiB 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)

sample2.4s (14.7%)

Memory
38.1MiB live, 3 636.5MiB allocated
Samples
847.0ms2 313×1valid
823.0ms5 942×0valid
153.0ms1 026×0exit
4.0ms24×1exit
1.0ms1×2valid
Precisions
Click to see histograms. Total time spent on operations: 1.5s
ival-mult: 326.0ms (22% of total)
ival-exp: 306.0ms (20.7% of total)
ival-div: 243.0ms (16.4% of total)
ival-sub: 189.0ms (12.8% of total)
ival-add: 136.0ms (9.2% of total)
ival-neg: 133.0ms (9% of total)
adjust: 125.0ms (8.4% of total)
exact: 12.0ms (0.8% of total)
ival-true: 7.0ms (0.5% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

preprocess343.0ms (2.1%)

Memory
19.2MiB live, 492.6MiB allocated
Algorithm
1×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
053155
1168138
2524135
31740135
44682133
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))))
Symmetry

(abs eps)

explain335.0ms (2.1%)

Memory
-51.0MiB live, 657.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
591(7.161817225393765e-190 5.2371654176823667e-11)0-(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
10-0-(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
10-0-(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
00-0-(/.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-(+.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-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)))))cancellation600
exp.f64(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))sensitivity10
exp.f64(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))sensitivity10
Confusion
Predicted +Predicted -
+600
-1195
Precision
0.9836065573770492
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6000
-10195
Precision?
0.9836065573770492
Recall?
1.0
Freqs
test
numberfreq
0195
160
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
52.0ms118×1valid
50.0ms394×0valid
Compiler

Compiled 348 to 80 computations (77% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-exp: 17.0ms (24.8% of total)
ival-mult: 16.0ms (23.3% of total)
ival-sub: 10.0ms (14.6% of total)
ival-div: 9.0ms (13.1% of total)
ival-add: 6.0ms (8.7% of total)
ival-neg: 5.0ms (7.3% of total)
adjust: 4.0ms (5.8% of total)
exact: 1.0ms (1.5% of total)
ival-true: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶77.6%
(/.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)

simplify277.0ms (1.7%)

Memory
29.9MiB live, 471.6MiB 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)

localize107.0ms (0.7%)

Memory
-7.6MiB live, 147.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (+.f64 #s(literal 1 binary64) eps) x)
✓accuracy100.0%
(exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
✓accuracy99.9%
(exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))
✓accuracy77.7%
(-.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
38.0ms59×1valid
28.0ms197×0valid
Compiler

Compiled 143 to 21 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-exp: 26.0ms (50.5% of total)
ival-mult: 9.0ms (17.5% of total)
ival-div: 5.0ms (9.7% of total)
ival-sub: 4.0ms (7.8% of total)
ival-neg: 3.0ms (5.8% of total)
ival-add: 3.0ms (5.8% of total)
adjust: 2.0ms (3.9% 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
2.6MiB live, 39.0MiB 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 (exp (neg (* (+ 1 eps) x)))>
#<alt (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))>
#<alt (+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))>
#<alt (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))>
#<alt (+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))>
#<alt (exp (neg (* x (+ 1 eps))))>
#<alt (exp (neg (* x (+ 1 eps))))>
#<alt (exp (neg (* x (+ 1 eps))))>
#<alt (exp (neg (* x (+ 1 eps))))>
#<alt (exp (neg (* x (- 1 (* -1 eps)))))>
#<alt (exp (neg (* x (- 1 (* -1 eps)))))>
#<alt (exp (neg (* x (- 1 (* -1 eps)))))>
#<alt (exp (neg (* x (- 1 (* -1 eps)))))>
#<alt 1>
#<alt (+ 1 (* -1 (* x (+ 1 eps))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (+ x (* eps x))))>
#<alt (exp (neg (* x (+ 1 eps))))>
#<alt (exp (neg (* x (+ 1 eps))))>
#<alt (exp (neg (* x (+ 1 eps))))>
#<alt (exp (neg (* x (+ 1 eps))))>
#<alt (exp (neg x))>
#<alt (+ (exp (neg x)) (* eps (* x (exp (neg x)))))>
#<alt (+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))>
#<alt (+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x))))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt (exp (neg (* x (+ 1 (* -1 eps)))))>
#<alt 1>
#<alt (+ 1 (* x (- eps 1)))>
#<alt (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))>
#<alt (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (- (* eps x) x))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
#<alt (exp (neg (* x (- 1 eps))))>
Calls

36 calls:

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

rewrite556.0ms (3.5%)

Memory
31.9MiB live, 536.6MiB 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
01981
111677
291774
0891068
Stop Event
1×iter limit
1×node limit
Counts
6 → 420
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)
(exp (neg (* (+ 1 eps) x)))
(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))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.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) (/.f64 #s(literal 1 binary64) eps)))) (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (fma.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 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.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))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))) #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (fma.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 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.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))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64)))))) (fma.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 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) #s(literal 2 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64))) (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (fma.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 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) #s(literal 2 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 (+.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) (/.f64 #s(literal 1 binary64) eps)))) (exp.f64 (*.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (fma.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 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.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))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64))))))))) (/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64)))) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (fma.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 #s(literal 1 binary64) eps) #s(literal -1 binary64)) (exp.f64 (*.f64 x (-.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))) (exp.f64 (fma.f64 x (+.f64 eps #s(literal -1 binary64)) (*.f64 x (+.f64 eps #s(literal -1 binary64))))))))))
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(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (fma.f64 eps x x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (fma.f64 eps x x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps))) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (-.f64 #s(literal -1 binary64) eps))) x))
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(pow.f64 (exp.f64 (fma.f64 eps x x)) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (fma.f64 eps x x))
(pow.f64 (exp.f64 x) (-.f64 #s(literal -1 binary64) eps))
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(pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (neg.f64 x))
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(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) x) (+.f64 #s(literal 1 binary64) eps))
(pow.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) eps))
(*.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(*.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) x) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x eps)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) x) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 eps x)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x eps)) (pow.f64 (exp.f64 #s(literal -1 binary64)) x))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 eps x)) (pow.f64 (exp.f64 #s(literal -1 binary64)) x))
(*.f64 (pow.f64 (exp.f64 (fma.f64 eps x x)) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 (fma.f64 eps x x)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 eps x x) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 eps x x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (/.f64 (neg.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 (+.f64 #s(literal 1 binary64) eps)) (/.f64 (neg.f64 x) #s(literal 2 binary64))))
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(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps))) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 eps #s(literal -1 binary64)))) x))
(neg.f64 (/.f64 #s(literal -1 binary64) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x))))
(pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) #s(literal -1 binary64))
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(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) eps) x))
(pow.f64 (exp.f64 (+.f64 eps #s(literal -1 binary64))) x)
(pow.f64 (exp.f64 x) (+.f64 eps #s(literal -1 binary64)))
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(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) x) (-.f64 #s(literal 1 binary64) eps))
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(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) x) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 x (neg.f64 eps))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) x) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (neg.f64 eps) x)))
(*.f64 (pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) #s(literal -1/2 binary64)) (pow.f64 (exp.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (/.f64 (neg.f64 x) #s(literal 2 binary64))) (pow.f64 (exp.f64 (-.f64 #s(literal 1 binary64) eps)) (/.f64 (neg.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (exp.f64 (+.f64 eps #s(literal -1 binary64))) (/.f64 x #s(literal 2 binary64))) (pow.f64 (exp.f64 (+.f64 eps #s(literal -1 binary64))) (/.f64 x #s(literal 2 binary64))))

simplify886.0ms (5.5%)

Memory
-35.6MiB live, 772.4MiB allocated
Algorithm
1×egg-herbie
Rules
13 388×accelerator-lowering-fma.f32
13 388×accelerator-lowering-fma.f64
4 374×*-lowering-*.f32
4 374×*-lowering-*.f64
3 656×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02802821
19002444
230662190
082562065
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)))))))
(+ (* 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)))
(+ (* 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)))
(+ (* 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)))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))))
(+ (* -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)))))))))
(+ (* -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)))))))))
(+ (* -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)))))))))
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))))
(* 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))))
(- (+ (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))))))
(- (+ (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))))))
(- (+ (exp (neg x)) (+ (* x (exp (neg x))) (* (pow eps 2) (- (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/120 (* (pow x 5) (exp (neg x)))) (+ (* 1/24 (* (pow x 4) (exp (neg x)))) (* (pow eps 2) (- (+ (* 1/5040 (* (pow x 7) (exp (neg x)))) (* 1/720 (* (pow x 6) (exp (neg x))))) (+ (* -1/720 (* (pow x 6) (exp (neg x)))) (* -1/5040 (* (pow x 7) (exp (neg x))))))))) (+ (* -1/24 (* (pow x 4) (exp (neg x)))) (* -1/120 (* (pow x 5) (exp (neg x))))))))) (+ (* -1/2 (* (pow x 2) (exp (neg x)))) (* -1/6 (* (pow x 3) (exp (neg x))))))))) (+ (* -1 (exp (neg x))) (* -1 (* x (exp (neg x))))))
(- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 eps))))))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
(- (+ (exp (neg (* x (- 1 eps)))) (/ (exp (neg (* x (- 1 eps)))) eps)) (+ (* -1 (exp (neg (* x (+ 1 eps))))) (/ (exp (neg (* x (+ 1 eps)))) eps)))
(- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
(- (+ (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (/ (- (* -1 (exp (neg (* x (+ 1 (* -1 eps)))))) (* -1 (exp (neg (* x (- 1 (* -1 eps))))))) eps))) (* -1 (exp (neg (* x (- 1 (* -1 eps)))))))
2
(+ 2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* x (- (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(+ 2 (* x (- (+ (* x (- (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* x (- (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))) (* -1/6 (* (pow (+ 1 eps) 3) (- (/ 1 eps) 1)))))) (* 1/2 (* (pow (+ 1 eps) 2) (- (/ 1 eps) 1))))) (* (+ 1 (/ 1 eps)) (- eps 1))) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1))))))
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
(- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1)))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(- (* (exp (neg (* x (- 1 eps)))) (+ 1 (/ 1 eps))) (* (exp (neg (* x (+ 1 eps)))) (- (/ 1 eps) 1)))
(* -1 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))
(+ (exp (neg x)) (* -1 (* eps (* x (exp (neg x))))))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* 1/2 (* eps (* (pow x 2) (exp (neg x))))))))
(+ (exp (neg x)) (* eps (+ (* -1 (* x (exp (neg x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (- 1 (* -1 eps)))))
(exp (neg (* x (- 1 (* -1 eps)))))
(exp (neg (* x (- 1 (* -1 eps)))))
(exp (neg (* x (- 1 (* -1 eps)))))
1
(+ 1 (* -1 (* x (+ 1 eps))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (+ x (* eps x))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg (* x (+ 1 eps))))
(exp (neg x))
(+ (exp (neg x)) (* eps (* x (exp (neg x)))))
(+ (exp (neg x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (neg x))))) (* x (exp (neg x))))))
(+ (exp (neg x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (neg x))))) (* 1/2 (* (pow x 2) (exp (neg x)))))) (* x (exp (neg x))))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp (neg (* x (+ 1 (* -1 eps)))))
(exp (neg (* x (+ 1 (* -1 eps)))))
1
(+ 1 (* x (- eps 1)))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (- (* eps x) x))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
(exp (neg (* x (- 1 eps))))
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)))
(+ (* 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))))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x) (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64))))))))
(+ (* 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))))))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/120 binary64)))))) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) 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))))))))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 eps eps) (fma.f64 eps (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 #s(literal 1/5040 binary64) (pow.f64 x #s(literal 7 binary64)) (*.f64 #s(literal 1/720 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/720 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal -1/5040 binary64)))))) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (fma.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 5 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/24 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/120 binary64)))))) (*.f64 (exp.f64 (neg.f64 x)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/6 binary64) #s(literal -1/2 binary64)))))))))
(* 1/2 (- (exp (neg (* x (- 1 eps)))) (* -1 (exp (neg (* x (+ 1 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)))))
(+ (* 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)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(+ (* 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)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(+ (* 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)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (- (exp (neg (* x (+ 1 (* -1 eps))))) (* -1 (exp (neg (* x (- 1 (* -1 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)))))
(+ (* -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)))))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(+ (* -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)))))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(+ (* -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)))))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (- (* (+ 1 (/ 1 eps)) (- eps 1)) (* -1 (* (+ 1 eps) (- (/ 1 eps) 1)))))))
(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) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(+ 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))))))))
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (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) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) #s(literal 1 binary64))
(+ 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))))))))))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))) (*.f64 x (*.f64 #s(literal 1/6 binary64) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)))))))) (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) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) #s(literal 1 binary64))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))))
(* 1/2 (- (* (exp (- (* eps x) x)) (+ 1 (/ 1 eps))) (* (exp (neg (+ x (* eps x)))) (- (/ 1 eps) 1))))
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(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))
(fma.f64 x (*.f64 (+.f64 eps #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 eps #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))
(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 -1/6 binary64)) (+.f64 eps #s(literal 1 binary64)) #s(literal 1/2 binary64))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))
(exp (neg (+ x (* eps x))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (neg (+ x (* eps x))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (neg (+ x (* eps x))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (neg (+ x (* eps x))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (neg (* x (+ 1 eps))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (neg (* x (+ 1 eps))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (neg (* x (+ 1 eps))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (neg (* x (+ 1 eps))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (neg x))
(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 eps (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 eps (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) x)) (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 eps (*.f64 eps (*.f64 (exp.f64 (neg.f64 x)) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 x (*.f64 x 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 #s(literal -1 binary64) eps) #s(literal 1 binary64))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(fma.f64 x (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) eps)) #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 (*.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))) #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))

eval136.0ms (0.9%)

Memory
17.0MiB live, 200.3MiB allocated
Compiler

Compiled 28 745 to 2 163 computations (92.5% saved)

prune121.0ms (0.8%)

Memory
25.5MiB live, 187.5MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New5577564
Fresh000
Picked101
Done000
Total5587565
Accuracy
100.0%
Counts
565 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶36.5%
(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) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
▶74.6%
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (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) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) #s(literal 1 binary64))
39.6%
(/.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)) #s(literal 1 binary64))) #s(literal 2 binary64))
36.2%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (*.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))
▶51.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
▶77.6%
(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)))
▶36.5%
#s(literal 1 binary64)
Compiler

Compiled 356 to 200 computations (43.8% saved)

simplify412.0ms (2.6%)

Memory
-20.4MiB live, 695.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff384
(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) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))
✓cost-diff384
(+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps))
✓cost-diff384
(+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))
✓cost-diff512
(fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (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) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))))
✓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 eps #s(literal 1 binary64))
✓cost-diff128
(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) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
✓cost-diff384
(+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))
✓cost-diff384
(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) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))
✓cost-diff0
(/.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)))))))
✓cost-diff0
(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))))))))
✓cost-diff192
(*.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))
✓cost-diff13312
(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)))
Rules
15 130×accelerator-lowering-fma.f32
15 130×accelerator-lowering-fma.f64
5 366×*-lowering-*.f32
5 366×*-lowering-*.f64
1 954×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051587
1155585
2557582
32690534
45507482
08244459
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(exp (* (log (/ 2 (+ (* (exp (* x (- -1 eps))) (+ 1 (/ -1 eps))) (* (+ 1 (/ 1 eps)) (exp (* x (+ eps -1))))))) -1))
(* (log (/ 2 (+ (* (exp (* x (- -1 eps))) (+ 1 (/ -1 eps))) (* (+ 1 (/ 1 eps)) (exp (* x (+ eps -1))))))) -1)
(log (/ 2 (+ (* (exp (* x (- -1 eps))) (+ 1 (/ -1 eps))) (* (+ 1 (/ 1 eps)) (exp (* x (+ eps -1)))))))
(/ 2 (+ (* (exp (* x (- -1 eps))) (+ 1 (/ -1 eps))) (* (+ 1 (/ 1 eps)) (exp (* x (+ eps -1))))))
2
(+ (* (exp (* x (- -1 eps))) (+ 1 (/ -1 eps))) (* (+ 1 (/ 1 eps)) (exp (* x (+ eps -1)))))
(exp (* x (- -1 eps)))
(* x (- -1 eps))
x
(- -1 eps)
-1
eps
(+ 1 (/ -1 eps))
1
(/ -1 eps)
(* (+ 1 (/ 1 eps)) (exp (* x (+ eps -1))))
(+ 1 (/ 1 eps))
(/ 1 eps)
(exp (* x (+ eps -1)))
(* x (+ eps -1))
(+ eps -1)
1
(+ (* (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* 1/2 x)) 1)
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))
(+ eps 1)
eps
1
(+ -1 (/ 1 eps))
-1
(/ 1 eps)
(+ (+ -1 eps) (/ (+ -1 eps) eps))
(+ -1 eps)
(/ (+ -1 eps) eps)
(* 1/2 x)
1/2
x
(* 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
(+ (* x (+ (* x (* 1/4 (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps))))) (* 1/2 (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) 1)
x
(+ (* x (* 1/4 (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps))))) (* 1/2 (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))
(* 1/4 (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps))))
1/4
(+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))
(+ -1 eps)
-1
eps
(+ (+ -1 eps) (/ (+ -1 eps) eps))
(/ (+ -1 eps) eps)
(* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps))
(+ (/ (+ eps 1) eps) (- -1 eps))
(/ (+ eps 1) eps)
(+ eps 1)
1
(- -1 eps)
(* 1/2 (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))
1/2
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))
(+ -1 (/ 1 eps))
(/ 1 eps)
Outputs
(exp (* (log (/ 2 (+ (* (exp (* x (- -1 eps))) (+ 1 (/ -1 eps))) (* (+ 1 (/ 1 eps)) (exp (* x (+ eps -1))))))) -1))
(*.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 (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))
(* (log (/ 2 (+ (* (exp (* x (- -1 eps))) (+ 1 (/ -1 eps))) (* (+ 1 (/ 1 eps)) (exp (* x (+ eps -1))))))) -1)
(neg.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 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))))))
(log (/ 2 (+ (* (exp (* x (- -1 eps))) (+ 1 (/ -1 eps))) (* (+ 1 (/ 1 eps)) (exp (* x (+ eps -1)))))))
(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 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))))
(/ 2 (+ (* (exp (* x (- -1 eps))) (+ 1 (/ -1 eps))) (* (+ 1 (/ 1 eps)) (exp (* x (+ eps -1))))))
(/.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 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))))
2
#s(literal 2 binary64)
(+ (* (exp (* x (- -1 eps))) (+ 1 (/ -1 eps))) (* (+ 1 (/ 1 eps)) (exp (* x (+ eps -1)))))
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (*.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))))
(exp (* x (- -1 eps)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(* x (- -1 eps))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
x
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
-1
#s(literal -1 binary64)
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 (/ 1 eps)) (exp (* x (+ eps -1))))
(*.f64 (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)))
(+ 1 (/ 1 eps))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(exp (* x (+ eps -1)))
(exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))
(* x (+ eps -1))
(*.f64 x (+.f64 #s(literal -1 binary64) eps))
(+ eps -1)
(+.f64 #s(literal -1 binary64) eps)
1
#s(literal 1 binary64)
(+ (* (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* 1/2 x)) 1)
(fma.f64 x (+.f64 (/.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal -1/2 binary64)) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps))) #s(literal 1 binary64))
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))
(+ eps 1)
(+.f64 eps #s(literal 1 binary64))
eps
1
#s(literal 1 binary64)
(+ -1 (/ 1 eps))
(/.f64 (-.f64 #s(literal 1 binary64) eps) eps)
-1
#s(literal -1 binary64)
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)
(+ (+ -1 eps) (/ (+ -1 eps) eps))
(-.f64 eps (/.f64 #s(literal 1 binary64) eps))
(+ -1 eps)
(+.f64 #s(literal -1 binary64) eps)
(/ (+ -1 eps) eps)
(/.f64 (+.f64 #s(literal -1 binary64) eps) eps)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
x
(* 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 #s(literal 2 binary64) (+.f64 x x)))
(exp (neg x))
(exp.f64 (neg.f64 x))
(neg x)
(neg.f64 x)
x
(+ (+ x 2) x)
(+.f64 #s(literal 2 binary64) (+.f64 x x))
(+ x 2)
(+.f64 #s(literal 2 binary64) x)
2
#s(literal 2 binary64)
(+ (* x (+ (* x (* 1/4 (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps))))) (* 1/2 (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))) 1)
(fma.f64 x (fma.f64 (-.f64 eps (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (fma.f64 x (*.f64 (-.f64 eps (/.f64 #s(literal 1 binary64) eps)) (fma.f64 eps #s(literal 1/4 binary64) #s(literal -1/4 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) 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))
x
(+ (* x (* 1/4 (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps))))) (* 1/2 (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))
(fma.f64 (-.f64 eps (/.f64 #s(literal 1 binary64) eps)) #s(literal 1/2 binary64) (fma.f64 x (*.f64 (-.f64 eps (/.f64 #s(literal 1 binary64) eps)) (fma.f64 eps #s(literal 1/4 binary64) #s(literal -1/4 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (fma.f64 x (fma.f64 eps #s(literal -1/4 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)))))
(* 1/4 (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps))))
(*.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (-.f64 eps (/.f64 #s(literal 1 binary64) eps)))))
1/4
#s(literal 1/4 binary64)
(+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))
(fma.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps) (*.f64 (+.f64 #s(literal -1 binary64) eps) (-.f64 eps (/.f64 #s(literal 1 binary64) eps))))
(+ -1 eps)
(+.f64 #s(literal -1 binary64) eps)
-1
#s(literal -1 binary64)
eps
(+ (+ -1 eps) (/ (+ -1 eps) eps))
(-.f64 eps (/.f64 #s(literal 1 binary64) eps))
(/ (+ -1 eps) eps)
(/.f64 (+.f64 #s(literal -1 binary64) eps) eps)
(* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps))
(*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 (/.f64 #s(literal 1 binary64) eps) eps))
(+ (/ (+ eps 1) eps) (- -1 eps))
(-.f64 (/.f64 #s(literal 1 binary64) eps) eps)
(/ (+ eps 1) eps)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps))
(+ eps 1)
(+.f64 eps #s(literal 1 binary64))
1
#s(literal 1 binary64)
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
(* 1/2 (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (+ -1 eps) (/ (+ -1 eps) eps))))
(+.f64 (/.f64 (fma.f64 eps #s(literal 1/2 binary64) #s(literal -1/2 binary64)) eps) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) eps)))
1/2
#s(literal 1/2 binary64)
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) eps) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))
(+ -1 (/ 1 eps))
(/.f64 (-.f64 #s(literal 1 binary64) eps) eps)
(/ 1 eps)
(/.f64 #s(literal 1 binary64) eps)

localize710.0ms (4.4%)

Memory
11.7MiB live, 1 321.7MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))))
✓accuracy99.2%
(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) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))
✓accuracy95.1%
(fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (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) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))))
✓accuracy79.0%
(fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))
✓accuracy100.0%
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(exp.f64 (neg.f64 x))
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps))
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) eps)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) x)
✓accuracy99.2%
(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) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))
✓accuracy100.0%
(exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64))))
✓accuracy99.9%
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
✓accuracy79.7%
(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))))))))
✓accuracy79.2%
(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))))))
Samples
194.0ms69×5exit
178.0ms97×4exit
124.0ms43×3valid
35.0ms20×2valid
30.0ms26×1valid
1.0ms1×3exit
Compiler

Compiled 572 to 53 computations (90.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 438.0ms
ival-mult: 106.0ms (24.2% of total)
adjust: 88.0ms (20.1% of total)
ival-exp: 81.0ms (18.5% of total)
ival-add: 75.0ms (17.1% of total)
ival-div: 41.0ms (9.4% of total)
ival-log: 37.0ms (8.4% of total)
ival-sub: 7.0ms (1.6% of total)
exact: 2.0ms (0.5% of total)
ival-neg: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series171.0ms (1.1%)

Memory
-4.8MiB live, 343.6MiB allocated
Counts
22 → 372
Calls
Call 1
Inputs
#<alt (exp (* (log (/ 2 (+ (* (exp (* x (- -1 eps))) (+ 1 (/ -1 eps))) (* (+ 1 (/ 1 eps)) (exp (* x (+ eps -1))))))) -1))>
#<alt (* (log (/ 2 (+ (* (exp (* x (- -1 eps))) (+ 1 (/ -1 eps))) (* (+ 1 (/ 1 eps)) (exp (* x (+ eps -1))))))) -1)>
#<alt (log (/ 2 (+ (* (exp (* x (- -1 eps))) (+ 1 (/ -1 eps))) (* (+ 1 (/ 1 eps)) (exp (* x (+ eps -1)))))))>
#<alt (/ 2 (+ (* (exp (* x (- -1 eps))) (+ 1 (/ -1 eps))) (* (+ 1 (/ 1 eps)) (exp (* x (+ eps -1))))))>
#<alt (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))>
#<alt (+ (+ -1 eps) (/ (+ -1 eps) eps))>
#<alt (+ (* (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* 1/2 x)) 1)>
#<alt (+ eps 1)>
#<alt (* 1/2 (* (exp (neg x)) (+ (+ x 2) x)))>
#<alt (* (exp (neg x)) (+ (+ x 2) x))>
#<alt (exp (neg x))>
#<alt (neg x)>
#<alt (+ (* x (* 1/4 (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps))))) (* 1/2 (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))>
#<alt (+ (/ (+ eps 1) eps) (- -1 eps))>
#<alt (+ (* (exp (* x (- -1 eps))) (+ 1 (/ -1 eps))) (* (+ 1 (/ 1 eps)) (exp (* x (+ eps -1)))))>
#<alt (exp (* x (- -1 eps)))>
#<alt (exp (* x (+ eps -1)))>
#<alt (* 1/2 x)>
#<alt (+ -1 eps)>
#<alt (+ -1 (/ 1 eps))>
#<alt (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))>
#<alt (* 1/4 (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps))))>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1))))))>
#<alt (+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- 1 (/ 1 eps))))))) (* 1/2 (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1)))))))>
#<alt (+ 1 (* x (+ (* 1/2 (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (* x (+ (* 1/2 (* x (+ (* -1/6 (* (pow (+ 1 eps) 3) (- 1 (/ 1 eps)))) (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))))) (* 1/2 (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- 1 (/ 1 eps)))))))))))>
#<alt (* 1/2 (+ (* (exp (* -1 (* x (+ 1 eps)))) (- 1 (/ 1 eps))) (* (exp (* x (- eps 1))) (+ 1 (/ 1 eps)))))>
#<alt (* 1/2 (+ (* (exp (* -1 (* x (+ 1 eps)))) (- 1 (/ 1 eps))) (* (exp (* x (- eps 1))) (+ 1 (/ 1 eps)))))>
#<alt (* 1/2 (+ (* (exp (* -1 (* x (+ 1 eps)))) (- 1 (/ 1 eps))) (* (exp (* x (- eps 1))) (+ 1 (/ 1 eps)))))>
#<alt (* 1/2 (+ (* (exp (* -1 (* x (+ 1 eps)))) (- 1 (/ 1 eps))) (* (exp (* x (- eps 1))) (+ 1 (/ 1 eps)))))>
#<alt (* 1/2 (+ (* (exp (* -1 (* x (+ 1 eps)))) (- 1 (/ 1 eps))) (* (exp (* x (- eps 1))) (+ 1 (/ 1 eps)))))>
#<alt (* 1/2 (+ (* (exp (* -1 (* x (+ 1 eps)))) (- 1 (/ 1 eps))) (* (exp (* x (- eps 1))) (+ 1 (/ 1 eps)))))>
#<alt (* 1/2 (+ (* (exp (* -1 (* x (+ 1 eps)))) (- 1 (/ 1 eps))) (* (exp (* x (- eps 1))) (+ 1 (/ 1 eps)))))>
#<alt (* 1/2 (+ (* (exp (* -1 (* x (+ 1 eps)))) (- 1 (/ 1 eps))) (* (exp (* x (- eps 1))) (+ 1 (/ 1 eps)))))>
#<alt (* 1/2 (/ (+ (exp (* -1 x)) (* -1 (exp (* -1 x)))) eps))>
#<alt (/ (+ (* 1/2 (* eps (+ (* 2 (exp (* -1 x))) (* 2 (* x (exp (* -1 x))))))) (* 1/2 (+ (exp (* -1 x)) (* -1 (exp (* -1 x)))))) eps)>
#<alt (/ (+ (* 1/2 (+ (exp (* -1 x)) (* -1 (exp (* -1 x))))) (* eps (+ (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* -1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x)))))))) (* 1/2 (+ (* 2 (exp (* -1 x))) (* 2 (* x (exp (* -1 x))))))))) eps)>
#<alt (/ (+ (* 1/2 (+ (exp (* -1 x)) (* -1 (exp (* -1 x))))) (* eps (+ (* 1/2 (+ (* 2 (exp (* -1 x))) (* 2 (* x (exp (* -1 x)))))) (* eps (+ (* 1/2 (* eps (+ (* 1/3 (* (pow x 3) (exp (* -1 x)))) (* (pow x 2) (exp (* -1 x)))))) (* 1/2 (+ (* -1 (* x (exp (* -1 x)))) (+ (* -1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x)))))))))))) eps)>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))))>
#<alt (+ (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) (* 1/2 (/ (+ (exp (* x (- eps 1))) (* -1 (exp (* -1 (* x (+ 1 eps)))))) eps)))>
#<alt (+ (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) (* 1/2 (/ (+ (exp (* x (- eps 1))) (* -1 (exp (* -1 (* x (+ 1 eps)))))) eps)))>
#<alt (+ (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))) (* 1/2 (/ (+ (exp (* x (- eps 1))) (* -1 (exp (* -1 (* x (+ 1 eps)))))) eps)))>
#<alt (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))>
#<alt (+ (* -1/2 (/ (+ (exp (* x (- (* -1 eps) 1))) (* -1 (exp (* -1 (* x (+ 1 (* -1 eps))))))) eps)) (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))))>
#<alt (+ (* -1/2 (/ (+ (exp (* x (- (* -1 eps) 1))) (* -1 (exp (* -1 (* x (+ 1 (* -1 eps))))))) eps)) (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))))>
#<alt (+ (* -1/2 (/ (+ (exp (* x (- (* -1 eps) 1))) (* -1 (exp (* -1 (* x (+ 1 (* -1 eps))))))) eps)) (* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))))>
#<alt (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1)))))>
#<alt (* x (+ (* -1/2 (* x (+ (* -2 (+ (* -1/4 (pow (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1))) 2)) (* 1/2 (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- 1 (/ 1 eps)))))))) (* -1/4 (pow (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1))) 2))))) (* 1/2 (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1))))))>
#<alt (* x (+ (* 1/2 (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (* x (+ (* -1/2 (+ (* -2 (+ (* -1/4 (pow (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1))) 2)) (* 1/2 (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- 1 (/ 1 eps)))))))) (* -1/4 (pow (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1))) 2)))) (* -1/6 (* x (+ (* -6 (+ (* -1/2 (* (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1))) (+ (* -1/4 (pow (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1))) 2)) (* 1/2 (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- 1 (/ 1 eps))))))))) (+ (* -1/4 (* (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1))) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- 1 (/ 1 eps))))))) (* 1/2 (+ (* -1/6 (* (pow (+ 1 eps) 3) (- 1 (/ 1 eps)))) (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))))))) (+ (* -3 (* (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1))) (+ (* -1/4 (pow (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1))) 2)) (* 1/2 (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- 1 (/ 1 eps))))))))) (* -1/4 (pow (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1))) 3))))))))))>
#<alt (* x (+ (* 1/2 (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (* x (+ (* -1/2 (+ (* -2 (+ (* -1/4 (pow (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1))) 2)) (* 1/2 (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- 1 (/ 1 eps)))))))) (* -1/4 (pow (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1))) 2)))) (* x (+ (* -1/6 (+ (* -6 (+ (* -1/2 (* (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1))) (+ (* -1/4 (pow (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1))) 2)) (* 1/2 (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- 1 (/ 1 eps))))))))) (+ (* -1/4 (* (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1))) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- 1 (/ 1 eps))))))) (* 1/2 (+ (* -1/6 (* (pow (+ 1 eps) 3) (- 1 (/ 1 eps)))) (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))))))) (+ (* -3 (* (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1))) (+ (* -1/4 (pow (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1))) 2)) (* 1/2 (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- 1 (/ 1 eps))))))))) (* -1/4 (pow (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1))) 3))))) (* -1/24 (* x (+ (* -24 (+ (* -1/2 (* (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1))) (+ (* -1/2 (* (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1))) (+ (* -1/4 (pow (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1))) 2)) (* 1/2 (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- 1 (/ 1 eps))))))))) (+ (* -1/4 (* (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1))) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- 1 (/ 1 eps))))))) (* 1/2 (+ (* -1/6 (* (pow (+ 1 eps) 3) (- 1 (/ 1 eps)))) (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))))))))) (+ (* -1/2 (* (+ (* -1/4 (pow (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1))) 2)) (* 1/2 (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- 1 (/ 1 eps))))))) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- 1 (/ 1 eps))))))) (+ (* -1/4 (* (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1))) (+ (* -1/6 (* (pow (+ 1 eps) 3) (- 1 (/ 1 eps)))) (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))))) (* 1/2 (+ (* 1/24 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 4))) (* 1/24 (* (pow (+ 1 eps) 4) (- 1 (/ 1 eps)))))))))) (+ (* -12 (* (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1))) (+ (* -1/2 (* (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1))) (+ (* -1/4 (pow (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1))) 2)) (* 1/2 (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- 1 (/ 1 eps))))))))) (+ (* -1/4 (* (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1))) (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- 1 (/ 1 eps))))))) (* 1/2 (+ (* -1/6 (* (pow (+ 1 eps) 3) (- 1 (/ 1 eps)))) (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3))))))))) (+ (* -12 (pow (+ (* -1/4 (pow (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1))) 2)) (* 1/2 (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- 1 (/ 1 eps))))))) 2)) (+ (* -6 (* (pow (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1))) 2) (+ (* -1/4 (pow (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1))) 2)) (* 1/2 (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- 1 (/ 1 eps))))))))) (* -3/8 (pow (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1))) 4))))))))))))))>
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#<alt (+ 2 (* x (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (+ (* x (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (+ (* 1/2 (* (pow (+ 1 eps) 2) (- 1 (/ 1 eps)))) (* x (+ (* -1/6 (* (pow (+ 1 eps) 3) (- 1 (/ 1 eps)))) (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))))))) (* (+ 1 (/ 1 eps)) (- eps 1))))))>
#<alt (+ (* (exp (* -1 (* x (+ 1 eps)))) (- 1 (/ 1 eps))) (* (exp (* x (- eps 1))) (+ 1 (/ 1 eps))))>
#<alt (+ (* (exp (* -1 (* x (+ 1 eps)))) (- 1 (/ 1 eps))) (* (exp (* x (- eps 1))) (+ 1 (/ 1 eps))))>
#<alt (+ (* (exp (* -1 (* x (+ 1 eps)))) (- 1 (/ 1 eps))) (* (exp (* x (- eps 1))) (+ 1 (/ 1 eps))))>
#<alt (+ (* (exp (* -1 (* x (+ 1 eps)))) (- 1 (/ 1 eps))) (* (exp (* x (- eps 1))) (+ 1 (/ 1 eps))))>
#<alt (+ (* (exp (* -1 (* x (+ 1 eps)))) (- 1 (/ 1 eps))) (* (exp (* x (- eps 1))) (+ 1 (/ 1 eps))))>
#<alt (+ (* (exp (* -1 (* x (+ 1 eps)))) (- 1 (/ 1 eps))) (* (exp (* x (- eps 1))) (+ 1 (/ 1 eps))))>
#<alt (+ (* (exp (* -1 (* x (+ 1 eps)))) (- 1 (/ 1 eps))) (* (exp (* x (- eps 1))) (+ 1 (/ 1 eps))))>
#<alt (+ (* (exp (* -1 (* x (+ 1 eps)))) (- 1 (/ 1 eps))) (* (exp (* x (- eps 1))) (+ 1 (/ 1 eps))))>
#<alt (/ (+ (exp (* -1 x)) (* -1 (exp (* -1 x)))) eps)>
#<alt (/ (+ (exp (* -1 x)) (+ (* -1 (exp (* -1 x))) (* eps (+ (* 2 (exp (* -1 x))) (* 2 (* x (exp (* -1 x)))))))) eps)>
#<alt (/ (+ (exp (* -1 x)) (+ (* -1 (exp (* -1 x))) (* eps (+ (* 2 (exp (* -1 x))) (+ (* 2 (* x (exp (* -1 x)))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* -1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x)))))))))))) eps)>
#<alt (/ (+ (exp (* -1 x)) (+ (* -1 (exp (* -1 x))) (* eps (+ (* 2 (exp (* -1 x))) (+ (* 2 (* x (exp (* -1 x)))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* -1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* eps (+ (* 1/3 (* (pow x 3) (exp (* -1 x)))) (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))))))))) eps)>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (+ (exp (* x (- eps 1))) (+ (* -1 (/ (exp (* -1 (* x (+ 1 eps)))) eps)) (/ (exp (* x (- eps 1))) eps))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (+ (exp (* x (- eps 1))) (+ (* -1 (/ (exp (* -1 (* x (+ 1 eps)))) eps)) (/ (exp (* x (- eps 1))) eps))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (+ (exp (* x (- eps 1))) (+ (* -1 (/ (exp (* -1 (* x (+ 1 eps)))) eps)) (/ (exp (* x (- eps 1))) eps))))>
#<alt (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))>
#<alt (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (+ (exp (* x (- (* -1 eps) 1))) (* -1 (/ (+ (exp (* x (- (* -1 eps) 1))) (* -1 (exp (* -1 (* x (+ 1 (* -1 eps))))))) eps))))>
#<alt (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (+ (exp (* x (- (* -1 eps) 1))) (* -1 (/ (+ (exp (* x (- (* -1 eps) 1))) (* -1 (exp (* -1 (* x (+ 1 (* -1 eps))))))) eps))))>
#<alt (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (+ (exp (* x (- (* -1 eps) 1))) (* -1 (/ (+ (exp (* x (- (* -1 eps) 1))) (* -1 (exp (* -1 (* x (+ 1 (* -1 eps))))))) eps))))>
#<alt 1>
#<alt (+ 1 (* -1 (* x (+ 1 eps))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 x))>
#<alt (+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt 1>
#<alt (+ 1 (* x (- eps 1)))>
#<alt (+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))>
#<alt (+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* -1 x))>
#<alt (+ (exp (* -1 x)) (* eps (* x (exp (* -1 x)))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x))))))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* x (- eps 1)))>
#<alt (exp (* -1 (* x (+ 1 (* -1 eps)))))>
#<alt (exp (* -1 (* x (+ 1 (* -1 eps)))))>
#<alt (exp (* -1 (* x (+ 1 (* -1 eps)))))>
#<alt (exp (* -1 (* x (+ 1 (* -1 eps)))))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt -1>
#<alt (- eps 1)>
#<alt (- eps 1)>
#<alt (- eps 1)>
#<alt eps>
#<alt (* eps (- 1 (/ 1 eps)))>
#<alt (* eps (- 1 (/ 1 eps)))>
#<alt (* eps (- 1 (/ 1 eps)))>
#<alt eps>
#<alt (* -1 (* eps (- (/ 1 eps) 1)))>
#<alt (* -1 (* eps (- (/ 1 eps) 1)))>
#<alt (* -1 (* eps (- (/ 1 eps) 1)))>
#<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 -2>
#<alt (- (* 2 (pow eps 2)) 2)>
#<alt (- (* 2 (pow eps 2)) 2)>
#<alt (- (* 2 (pow eps 2)) 2)>
#<alt (* 2 (pow eps 2))>
#<alt (* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))>
#<alt (* 2 (pow eps 2))>
#<alt (* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))>
#<alt -1/2>
#<alt (- (* 1/2 (pow eps 2)) 1/2)>
#<alt (- (* 1/2 (pow eps 2)) 1/2)>
#<alt (- (* 1/2 (pow eps 2)) 1/2)>
#<alt (* 1/2 (pow eps 2))>
#<alt (* (pow eps 2) (- 1/2 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 1/2 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 1/2 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* 1/2 (pow eps 2))>
#<alt (* (pow eps 2) (- 1/2 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 1/2 (* 1/2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 1/2 (* 1/2 (/ 1 (pow eps 2)))))>
Calls

93 calls:

TimeVariablePointExpression
59.0ms
x
@inf
(* (log (/ 2 (+ (* (exp (* x (- -1 eps))) (+ 1 (/ -1 eps))) (* (+ 1 (/ 1 eps)) (exp (* x (+ eps -1))))))) -1)
28.0ms
x
@0
(+ (* x (* 1/4 (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps))))) (* 1/2 (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))
23.0ms
x
@-inf
(* (log (/ 2 (+ (* (exp (* x (- -1 eps))) (+ 1 (/ -1 eps))) (* (+ 1 (/ 1 eps)) (exp (* x (+ eps -1))))))) -1)
13.0ms
eps
@0
(* (log (/ 2 (+ (* (exp (* x (- -1 eps))) (+ 1 (/ -1 eps))) (* (+ 1 (/ 1 eps)) (exp (* x (+ eps -1))))))) -1)
8.0ms
x
@0
(* (log (/ 2 (+ (* (exp (* x (- -1 eps))) (+ 1 (/ -1 eps))) (* (+ 1 (/ 1 eps)) (exp (* x (+ eps -1))))))) -1)

rewrite316.0ms (2%)

Memory
9.8MiB live, 740.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 784×*-lowering-*.f32
3 784×*-lowering-*.f64
3 392×accelerator-lowering-fma.f32
3 392×accelerator-lowering-fma.f64
2 846×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049361
1341356
24078355
08243342
Stop Event
1×iter limit
1×node limit
Counts
22 → 585
Calls
Call 1
Inputs
(exp (* (log (/ 2 (+ (* (exp (* x (- -1 eps))) (+ 1 (/ -1 eps))) (* (+ 1 (/ 1 eps)) (exp (* x (+ eps -1))))))) -1))
(* (log (/ 2 (+ (* (exp (* x (- -1 eps))) (+ 1 (/ -1 eps))) (* (+ 1 (/ 1 eps)) (exp (* x (+ eps -1))))))) -1)
(log (/ 2 (+ (* (exp (* x (- -1 eps))) (+ 1 (/ -1 eps))) (* (+ 1 (/ 1 eps)) (exp (* x (+ eps -1)))))))
(/ 2 (+ (* (exp (* x (- -1 eps))) (+ 1 (/ -1 eps))) (* (+ 1 (/ 1 eps)) (exp (* x (+ eps -1))))))
(+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))
(+ (+ -1 eps) (/ (+ -1 eps) eps))
(+ (* (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* 1/2 x)) 1)
(+ eps 1)
(* 1/2 (* (exp (neg x)) (+ (+ x 2) x)))
(* (exp (neg x)) (+ (+ x 2) x))
(exp (neg x))
(neg x)
(+ (* x (* 1/4 (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps))))) (* 1/2 (+ (* (+ eps 1) (+ -1 (/ 1 eps))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))))
(+ (/ (+ eps 1) eps) (- -1 eps))
(+ (* (exp (* x (- -1 eps))) (+ 1 (/ -1 eps))) (* (+ 1 (/ 1 eps)) (exp (* x (+ eps -1)))))
(exp (* x (- -1 eps)))
(exp (* x (+ eps -1)))
(* 1/2 x)
(+ -1 eps)
(+ -1 (/ 1 eps))
(+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))
(* 1/4 (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps))))
Outputs
(exp.f64 (log.f64 (*.f64 (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (neg.f64 (log.f64 (*.f64 (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))) #s(literal 1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))))
(/.f64 (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))) #s(literal 2 binary64))
(/.f64 (neg.f64 (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))) #s(literal -2 binary64))
(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))) (*.f64 eps (*.f64 eps eps))) (exp.f64 (*.f64 (-.f64 (*.f64 x eps) x) #s(literal 3 binary64))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (*.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal -1 binary64) eps))) (*.f64 eps (*.f64 eps eps))) (exp.f64 (*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)) #s(literal 3 binary64))))) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (-.f64 (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))) (*.f64 (/.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (*.f64 eps eps)) (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (*.f64 eps eps)) (exp.f64 (fma.f64 x (-.f64 #s(literal -1 binary64) eps) (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (*.f64 (/.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 eps #s(literal 1 binary64))) (*.f64 eps eps)) (exp.f64 (fma.f64 x (+.f64 #s(literal -1 binary64) eps) (-.f64 (*.f64 x eps) x))))) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))))))
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -2 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))))))
(pow.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))) #s(literal 1/2 binary64)))))
(pow.f64 (pow.f64 (*.f64 (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))) (/.f64 #s(literal 2 binary64) (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))))))
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(*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) (+.f64 eps (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) #s(literal 1/4 binary64))

simplify813.0ms (5.1%)

Memory
-103.5MiB live, 1 132.3MiB allocated
Algorithm
1×egg-herbie
Rules
13 600×accelerator-lowering-fma.f32
13 600×accelerator-lowering-fma.f64
8 188×*-lowering-*.f32
8 188×*-lowering-*.f64
6 064×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072311725
1244810257
093109744
Stop Event
1×iter limit
1×node limit
Counts
372 → 372
Calls
Call 1
Inputs
1
(+ 1 (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1))))))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- 1 (/ 1 eps))))))) (* 1/2 (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1)))))))
(+ 1 (* x (+ (* 1/2 (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (* x (+ (* 1/2 (* x (+ (* -1/6 (* (pow (+ 1 eps) 3) (- 1 (/ 1 eps)))) (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))))) (* 1/2 (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- 1 (/ 1 eps)))))))))))
(* 1/2 (+ (* (exp (* -1 (* x (+ 1 eps)))) (- 1 (/ 1 eps))) (* (exp (* x (- eps 1))) (+ 1 (/ 1 eps)))))
(* 1/2 (+ (* (exp (* -1 (* x (+ 1 eps)))) (- 1 (/ 1 eps))) (* (exp (* x (- eps 1))) (+ 1 (/ 1 eps)))))
(* 1/2 (+ (* (exp (* -1 (* x (+ 1 eps)))) (- 1 (/ 1 eps))) (* (exp (* x (- eps 1))) (+ 1 (/ 1 eps)))))
(* 1/2 (+ (* (exp (* -1 (* x (+ 1 eps)))) (- 1 (/ 1 eps))) (* (exp (* x (- eps 1))) (+ 1 (/ 1 eps)))))
(* 1/2 (+ (* (exp (* -1 (* x (+ 1 eps)))) (- 1 (/ 1 eps))) (* (exp (* x (- eps 1))) (+ 1 (/ 1 eps)))))
(* 1/2 (+ (* (exp (* -1 (* x (+ 1 eps)))) (- 1 (/ 1 eps))) (* (exp (* x (- eps 1))) (+ 1 (/ 1 eps)))))
(* 1/2 (+ (* (exp (* -1 (* x (+ 1 eps)))) (- 1 (/ 1 eps))) (* (exp (* x (- eps 1))) (+ 1 (/ 1 eps)))))
(* 1/2 (+ (* (exp (* -1 (* x (+ 1 eps)))) (- 1 (/ 1 eps))) (* (exp (* x (- eps 1))) (+ 1 (/ 1 eps)))))
(* 1/2 (/ (+ (exp (* -1 x)) (* -1 (exp (* -1 x)))) eps))
(/ (+ (* 1/2 (* eps (+ (* 2 (exp (* -1 x))) (* 2 (* x (exp (* -1 x))))))) (* 1/2 (+ (exp (* -1 x)) (* -1 (exp (* -1 x)))))) eps)
(/ (+ (* 1/2 (+ (exp (* -1 x)) (* -1 (exp (* -1 x))))) (* eps (+ (* 1/2 (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* -1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x)))))))) (* 1/2 (+ (* 2 (exp (* -1 x))) (* 2 (* x (exp (* -1 x))))))))) eps)
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(* 1/2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
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(- (+ (* -2 (/ (pow (+ (exp (* x (- eps 1))) (* -1 (exp (* -1 (* x (+ 1 eps)))))) 3) (* (pow eps 3) (pow (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) 4)))) (* 2 (/ 1 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))))) (+ (* -2 (/ (pow (+ (exp (* x (- eps 1))) (* -1 (exp (* -1 (* x (+ 1 eps)))))) 2) (* (pow eps 2) (pow (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) 3)))) (* 2 (/ (+ (exp (* x (- eps 1))) (* -1 (exp (* -1 (* x (+ 1 eps)))))) (* eps (pow (+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1)))) 2))))))
(/ 2 (+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1)))))
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0
0
0
0
0
0
0
0
0
0
0
0
(/ -1 eps)
(/ (- (pow eps 2) 1) eps)
(/ (- (pow eps 2) 1) eps)
(/ (- (pow eps 2) 1) eps)
eps
(* eps (- 1 (/ 1 (pow eps 2))))
(* eps (- 1 (/ 1 (pow eps 2))))
(* eps (- 1 (/ 1 (pow eps 2))))
eps
(* -1 (* eps (- (/ 1 (pow eps 2)) 1)))
(* -1 (* eps (- (/ 1 (pow eps 2)) 1)))
(* -1 (* eps (- (/ 1 (pow eps 2)) 1)))
1
1
1
1
1
1
1
1
1
1
1
1
1
(+ 1 (* 1/2 (* x (- (+ eps (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 eps)))))
(+ 1 (* 1/2 (* x (- (+ eps (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 eps)))))
(+ 1 (* 1/2 (* x (- (+ eps (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 eps)))))
(* 1/2 (* x (- (+ eps (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 eps))))
(* x (+ (* 1/2 (- (+ eps (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 eps))) (/ 1 x)))
(* x (+ (* 1/2 (- (+ eps (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 eps))) (/ 1 x)))
(* x (+ (* 1/2 (- (+ eps (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 eps))) (/ 1 x)))
(* 1/2 (* x (- (+ eps (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 eps))))
(* -1 (* x (- (* -1/2 (- (+ eps (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 eps))) (/ 1 x))))
(* -1 (* x (- (* -1/2 (- (+ eps (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 eps))) (/ 1 x))))
(* -1 (* x (- (* -1/2 (- (+ eps (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 eps))) (/ 1 x))))
1
(+ 1 eps)
(+ 1 eps)
(+ 1 eps)
eps
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
eps
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
(* eps (+ 1 (/ 1 eps)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))
(+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))
(* x (exp (neg x)))
(* x (+ (exp (neg x)) (/ (exp (neg x)) x)))
(* x (+ (exp (neg x)) (/ (exp (neg x)) x)))
(* x (+ (exp (neg x)) (/ (exp (neg x)) x)))
(* x (exp (* -1 x)))
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))
2
(+ 2 (* -1 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 2/3 x) 1)))
(+ 2 (* (pow x 2) (- (* x (+ 2/3 (* -1/4 x))) 1)))
(* 2 (* x (exp (neg x))))
(* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))
(* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))
(* x (+ (* 2 (exp (neg x))) (* 2 (/ (exp (neg x)) x))))
(* 2 (* x (exp (* -1 x))))
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))
(* -1 (* x (+ (* -2 (exp (* -1 x))) (* -2 (/ (exp (* -1 x)) x)))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 1/2 (- (+ eps (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 eps)))
(+ (* 1/4 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))))) (* 1/2 (- (+ eps (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 eps))))
(+ (* 1/4 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))))) (* 1/2 (- (+ eps (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 eps))))
(+ (* 1/4 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps)))))) (* 1/2 (- (+ eps (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 eps))))
(* 1/4 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* x (+ (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))) (* 1/2 (/ (- (+ eps (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 eps)) x))))
(* x (+ (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))) (* 1/2 (/ (- (+ eps (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 eps)) x))))
(* x (+ (* 1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))) (* 1/2 (/ (- (+ eps (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 eps)) x))))
(* 1/4 (* x (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))
(* -1 (* x (+ (* -1/2 (/ (- (+ eps (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 eps)) x)) (* -1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))))
(* -1 (* x (+ (* -1/2 (/ (- (+ eps (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 eps)) x)) (* -1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))))
(* -1 (* x (+ (* -1/2 (/ (- (+ eps (* (+ 1 eps) (- (/ 1 eps) 1))) (/ 1 eps)) x)) (* -1/4 (+ (* -1 (* (+ 1 eps) (- (/ 1 eps) eps))) (* (- eps 1) (- eps (/ 1 eps))))))))
(* -1/2 x)
(+ (* -1/2 x) (* 1/2 (* (pow eps 2) x)))
(+ (* -1/2 x) (* 1/2 (* (pow eps 2) x)))
(+ (* -1/2 x) (* 1/2 (* (pow eps 2) x)))
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(* 1/2 (* (pow eps 2) x))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(* (pow eps 2) (+ (* -1/2 (/ x (pow eps 2))) (* 1/2 x)))
(/ 1 eps)
(/ (+ 1 (* -1 (pow eps 2))) eps)
(/ (+ 1 (* -1 (pow eps 2))) eps)
(/ (+ 1 (* -1 (pow eps 2))) eps)
(* -1 eps)
(* eps (- (/ 1 (pow eps 2)) 1))
(* eps (- (/ 1 (pow eps 2)) 1))
(* eps (- (/ 1 (pow eps 2)) 1))
(* -1 eps)
(* -1 (* eps (- 1 (/ 1 (pow eps 2)))))
(* -1 (* eps (- 1 (/ 1 (pow eps 2)))))
(* -1 (* eps (- 1 (/ 1 (pow eps 2)))))
2
(+ 2 (* x (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1)))))
(+ 2 (* x (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (+ (* x (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- 1 (/ 1 eps)))))) (* (+ 1 (/ 1 eps)) (- eps 1))))))
(+ 2 (* x (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (+ (* x (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (+ (* 1/2 (* (pow (+ 1 eps) 2) (- 1 (/ 1 eps)))) (* x (+ (* -1/6 (* (pow (+ 1 eps) 3) (- 1 (/ 1 eps)))) (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))))))) (* (+ 1 (/ 1 eps)) (- eps 1))))))
(+ (* (exp (* -1 (* x (+ 1 eps)))) (- 1 (/ 1 eps))) (* (exp (* x (- eps 1))) (+ 1 (/ 1 eps))))
(+ (* (exp (* -1 (* x (+ 1 eps)))) (- 1 (/ 1 eps))) (* (exp (* x (- eps 1))) (+ 1 (/ 1 eps))))
(+ (* (exp (* -1 (* x (+ 1 eps)))) (- 1 (/ 1 eps))) (* (exp (* x (- eps 1))) (+ 1 (/ 1 eps))))
(+ (* (exp (* -1 (* x (+ 1 eps)))) (- 1 (/ 1 eps))) (* (exp (* x (- eps 1))) (+ 1 (/ 1 eps))))
(+ (* (exp (* -1 (* x (+ 1 eps)))) (- 1 (/ 1 eps))) (* (exp (* x (- eps 1))) (+ 1 (/ 1 eps))))
(+ (* (exp (* -1 (* x (+ 1 eps)))) (- 1 (/ 1 eps))) (* (exp (* x (- eps 1))) (+ 1 (/ 1 eps))))
(+ (* (exp (* -1 (* x (+ 1 eps)))) (- 1 (/ 1 eps))) (* (exp (* x (- eps 1))) (+ 1 (/ 1 eps))))
(+ (* (exp (* -1 (* x (+ 1 eps)))) (- 1 (/ 1 eps))) (* (exp (* x (- eps 1))) (+ 1 (/ 1 eps))))
(/ (+ (exp (* -1 x)) (* -1 (exp (* -1 x)))) eps)
(/ (+ (exp (* -1 x)) (+ (* -1 (exp (* -1 x))) (* eps (+ (* 2 (exp (* -1 x))) (* 2 (* x (exp (* -1 x)))))))) eps)
(/ (+ (exp (* -1 x)) (+ (* -1 (exp (* -1 x))) (* eps (+ (* 2 (exp (* -1 x))) (+ (* 2 (* x (exp (* -1 x)))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* -1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* x (exp (* -1 x)))))))))))) eps)
(/ (+ (exp (* -1 x)) (+ (* -1 (exp (* -1 x))) (* eps (+ (* 2 (exp (* -1 x))) (+ (* 2 (* x (exp (* -1 x)))) (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* -1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (+ (* eps (+ (* 1/3 (* (pow x 3) (exp (* -1 x)))) (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))))))))) eps)
(+ (exp (* -1 (* x (+ 1 eps)))) (exp (* x (- eps 1))))
(+ (exp (* -1 (* x (+ 1 eps)))) (+ (exp (* x (- eps 1))) (+ (* -1 (/ (exp (* -1 (* x (+ 1 eps)))) eps)) (/ (exp (* x (- eps 1))) eps))))
(+ (exp (* -1 (* x (+ 1 eps)))) (+ (exp (* x (- eps 1))) (+ (* -1 (/ (exp (* -1 (* x (+ 1 eps)))) eps)) (/ (exp (* x (- eps 1))) eps))))
(+ (exp (* -1 (* x (+ 1 eps)))) (+ (exp (* x (- eps 1))) (+ (* -1 (/ (exp (* -1 (* x (+ 1 eps)))) eps)) (/ (exp (* x (- eps 1))) eps))))
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (exp (* x (- (* -1 eps) 1))))
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (+ (exp (* x (- (* -1 eps) 1))) (* -1 (/ (+ (exp (* x (- (* -1 eps) 1))) (* -1 (exp (* -1 (* x (+ 1 (* -1 eps))))))) eps))))
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (+ (exp (* x (- (* -1 eps) 1))) (* -1 (/ (+ (exp (* x (- (* -1 eps) 1))) (* -1 (exp (* -1 (* x (+ 1 (* -1 eps))))))) eps))))
(+ (exp (* -1 (* x (+ 1 (* -1 eps))))) (+ (exp (* x (- (* -1 eps) 1))) (* -1 (/ (+ (exp (* x (- (* -1 eps) 1))) (* -1 (exp (* -1 (* x (+ 1 (* -1 eps))))))) eps))))
1
(+ 1 (* -1 (* x (+ 1 eps))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 x))
(+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x))))))
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))))))
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
1
(+ 1 (* x (- eps 1)))
(+ 1 (* x (- (+ eps (* 1/2 (* x (pow (- eps 1) 2)))) 1)))
(+ 1 (* x (- (+ eps (* x (+ (* 1/6 (* x (pow (- eps 1) 3))) (* 1/2 (pow (- eps 1) 2))))) 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* -1 x))
(+ (exp (* -1 x)) (* eps (* x (exp (* -1 x)))))
(+ (exp (* -1 x)) (* eps (+ (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))) (* x (exp (* -1 x))))))
(+ (exp (* -1 x)) (* eps (+ (* eps (+ (* 1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))) (* x (exp (* -1 x))))))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* x (- eps 1)))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(exp (* -1 (* x (+ 1 (* -1 eps)))))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
-1
(- eps 1)
(- eps 1)
(- eps 1)
eps
(* eps (- 1 (/ 1 eps)))
(* eps (- 1 (/ 1 eps)))
(* eps (- 1 (/ 1 eps)))
eps
(* -1 (* eps (- (/ 1 eps) 1)))
(* -1 (* eps (- (/ 1 eps) 1)))
(* -1 (* eps (- (/ 1 eps) 1)))
(/ 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)
-2
(- (* 2 (pow eps 2)) 2)
(- (* 2 (pow eps 2)) 2)
(- (* 2 (pow eps 2)) 2)
(* 2 (pow eps 2))
(* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))
(* 2 (pow eps 2))
(* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))
-1/2
(- (* 1/2 (pow eps 2)) 1/2)
(- (* 1/2 (pow eps 2)) 1/2)
(- (* 1/2 (pow eps 2)) 1/2)
(* 1/2 (pow eps 2))
(* (pow eps 2) (- 1/2 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 1/2 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 1/2 (* 1/2 (/ 1 (pow eps 2)))))
(* 1/2 (pow eps 2))
(* (pow eps 2) (- 1/2 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 1/2 (* 1/2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 1/2 (* 1/2 (/ 1 (pow eps 2)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64))))) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (* x (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- 1 (/ 1 eps))))))) (* 1/2 (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1)))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal 1 binary64))
(+ 1 (* x (+ (* 1/2 (+ (* -1 (* (+ 1 eps) (- 1 (/ 1 eps)))) (* (+ 1 (/ 1 eps)) (- eps 1)))) (* x (+ (* 1/2 (* x (+ (* -1/6 (* (pow (+ 1 eps) 3) (- 1 (/ 1 eps)))) (* 1/6 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 3)))))) (* 1/2 (+ (* 1/2 (* (+ 1 (/ 1 eps)) (pow (- eps 1) 2))) (* 1/2 (* (pow (+ 1 eps) 2) (- 1 (/ 1 eps)))))))))))
(fma.f64 x (fma.f64 x (fma.f64 x (fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))) #s(literal -1/12 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))))) #s(literal 1/12 binary64))) (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (*.f64 (+.f64 eps #s(literal -1 binary64)) (+.f64 eps #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (+.f64 eps #s(literal -1 binary64)))))) #s(literal 1 binary64))
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eval334.0ms (2.1%)

Memory
-5.4MiB live, 742.2MiB allocated
Compiler

Compiled 79 101 to 5 133 computations (93.5% saved)

prune252.0ms (1.6%)

Memory
15.6MiB live, 583.5MiB allocated
Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New1 506191 525
Fresh022
Picked415
Done000
Total1 510221 532
Accuracy
100.0%
Counts
1 532 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶32.3%
(fma.f64 (fma.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps)) (+.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) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
30.7%
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) eps (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
32.0%
(fma.f64 (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps (fma.f64 eps eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
49.3%
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
39.1%
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (fma.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) eps (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (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) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) #s(literal 1 binary64))
▶44.5%
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))) (fma.f64 eps (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) eps) eps) (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))))) #s(literal 1 binary64))
74.2%
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 1 binary64))
35.5%
(fma.f64 x (*.f64 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))
▶74.4%
(fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) #s(literal 1 binary64))
35.4%
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
74.2%
(fma.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
▶77.7%
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))) #s(literal 1/2 binary64)))))
39.6%
(/.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)) #s(literal 1 binary64))) #s(literal 2 binary64))
36.2%
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (*.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))
▶17.9%
(/.f64 #s(literal 0 binary64) eps)
51.9%
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))))
51.9%
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) (exp.f64 x)))
35.5%
(*.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)))
49.3%
(*.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)))
36.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
39.3%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #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)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))) #s(literal -1 binary64)))
✓36.5%
#s(literal 1 binary64)
Compiler

Compiled 1 101 to 603 computations (45.2% saved)

simplify550.0ms (3.4%)

Memory
-10.0MiB live, 701.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps))))
✓cost-diff0
(fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))) (fma.f64 eps (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) eps) eps) (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))))))
✓cost-diff0
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))) (fma.f64 eps (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) eps) eps) (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))))) #s(literal 1 binary64))
✓cost-diff128
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))) (fma.f64 eps (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) eps) eps) (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))))
✓cost-diff0
(fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps))
✓cost-diff0
(fma.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps)) (+.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) eps)))
✓cost-diff0
(fma.f64 (fma.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps)) (+.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) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
✓cost-diff0
(*.f64 eps eps)
✓cost-diff0
(fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
✓cost-diff0
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
✓cost-diff0
(fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) #s(literal 1 binary64))
✓cost-diff704
(/.f64 #s(literal 0 binary64) eps)
✓cost-diff0
(neg.f64 (log.f64 (*.f64 (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))) #s(literal 1/2 binary64))))
✓cost-diff0
(exp.f64 #s(literal -1 binary64))
✓cost-diff0
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))) #s(literal 1/2 binary64)))))
✓cost-diff1088
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))
Rules
11 594×accelerator-lowering-fma.f32
11 594×accelerator-lowering-fma.f64
4 366×*-lowering-*.f32
4 366×*-lowering-*.f64
3 834×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065717
1202717
2706717
33269717
45320717
08291685
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(pow (exp -1) (neg (log (* (+ (* (exp (* x (- -1 eps))) (/ (+ eps 1) eps)) (* (exp (- (* x eps) x)) (/ (+ eps 1) eps))) 1/2))))
(exp -1)
-1
(neg (log (* (+ (* (exp (* x (- -1 eps))) (/ (+ eps 1) eps)) (* (exp (- (* x eps) x)) (/ (+ eps 1) eps))) 1/2)))
(log (* (+ (* (exp (* x (- -1 eps))) (/ (+ eps 1) eps)) (* (exp (- (* x eps) x)) (/ (+ eps 1) eps))) 1/2))
(* (+ (* (exp (* x (- -1 eps))) (/ (+ eps 1) eps)) (* (exp (- (* x eps) x)) (/ (+ eps 1) eps))) 1/2)
(+ (* (exp (* x (- -1 eps))) (/ (+ eps 1) eps)) (* (exp (- (* x eps) x)) (/ (+ eps 1) eps)))
(exp (* x (- -1 eps)))
(* x (- -1 eps))
x
(- -1 eps)
eps
(/ (+ eps 1) eps)
(+ eps 1)
1
(* (exp (- (* x eps) x)) (/ (+ eps 1) eps))
(exp (- (* x eps) x))
(- (* x eps) x)
(* x eps)
1/2
(/ 0 eps)
0
eps
(+ (* x (* x (+ (* 1/2 (* eps eps)) -1/2))) 1)
x
(* x (+ (* 1/2 (* eps eps)) -1/2))
(+ (* 1/2 (* eps eps)) -1/2)
1/2
(* eps eps)
eps
-1/2
1
(+ (* (+ (* (/ (+ (* eps (* eps eps)) 1) (- (+ (* eps eps) 1) eps)) (+ -1 (/ 1 eps))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* 1/2 x)) 1)
(+ (* (/ (+ (* eps (* eps eps)) 1) (- (+ (* eps eps) 1) eps)) (+ -1 (/ 1 eps))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))
(/ (+ (* eps (* eps eps)) 1) (- (+ (* eps eps) 1) eps))
(+ (* eps (* eps eps)) 1)
eps
(* eps eps)
1
(- (+ (* eps eps) 1) eps)
(+ (* eps eps) 1)
(+ -1 (/ 1 eps))
-1
(/ 1 eps)
(+ (+ -1 eps) (/ (+ -1 eps) eps))
(+ -1 eps)
(/ (+ -1 eps) eps)
(* 1/2 x)
1/2
x
(+ (* x (+ (* x (* 1/4 (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps))))) (* 1/2 (+ (* (/ (- 1 (* eps eps)) (+ (* eps (* eps eps)) -1)) (+ (* eps (+ -1 eps)) 1)) (+ (/ (+ -1 eps) eps) (+ (- -1 eps) (/ (+ eps 1) eps))))))) 1)
x
(+ (* x (* 1/4 (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps))))) (* 1/2 (+ (* (/ (- 1 (* eps eps)) (+ (* eps (* eps eps)) -1)) (+ (* eps (+ -1 eps)) 1)) (+ (/ (+ -1 eps) eps) (+ (- -1 eps) (/ (+ eps 1) eps))))))
(* 1/4 (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps))))
1/4
(+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))
(+ -1 eps)
-1
eps
(+ (+ -1 eps) (/ (+ -1 eps) eps))
(/ (+ -1 eps) eps)
(* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps))
(+ (/ (+ eps 1) eps) (- -1 eps))
(/ (+ eps 1) eps)
(+ eps 1)
1
(- -1 eps)
(* 1/2 (+ (* (/ (- 1 (* eps eps)) (+ (* eps (* eps eps)) -1)) (+ (* eps (+ -1 eps)) 1)) (+ (/ (+ -1 eps) eps) (+ (- -1 eps) (/ (+ eps 1) eps)))))
1/2
(+ (* (/ (- 1 (* eps eps)) (+ (* eps (* eps eps)) -1)) (+ (* eps (+ -1 eps)) 1)) (+ (/ (+ -1 eps) eps) (+ (- -1 eps) (/ (+ eps 1) eps))))
(/ (- 1 (* eps eps)) (+ (* eps (* eps eps)) -1))
(- 1 (* eps eps))
(* eps eps)
(+ (* eps (* eps eps)) -1)
(+ (* eps (+ -1 eps)) 1)
(+ (/ (+ -1 eps) eps) (+ (- -1 eps) (/ (+ eps 1) eps)))
(+ (- -1 eps) (/ (+ eps 1) eps))
Outputs
(pow (exp -1) (neg (log (* (+ (* (exp (* x (- -1 eps))) (/ (+ eps 1) eps)) (* (exp (- (* x eps) x)) (/ (+ eps 1) eps))) 1/2))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal 1 binary64))) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))))) eps))))
(exp -1)
(exp.f64 #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(neg (log (* (+ (* (exp (* x (- -1 eps))) (/ (+ eps 1) eps)) (* (exp (- (* x eps) x)) (/ (+ eps 1) eps))) 1/2)))
(neg.f64 (log.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal 1 binary64))) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))))) eps)))
(log (* (+ (* (exp (* x (- -1 eps))) (/ (+ eps 1) eps)) (* (exp (- (* x eps) x)) (/ (+ eps 1) eps))) 1/2))
(log.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal 1 binary64))) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))))) eps))
(* (+ (* (exp (* x (- -1 eps))) (/ (+ eps 1) eps)) (* (exp (- (* x eps) x)) (/ (+ eps 1) eps))) 1/2)
(/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps #s(literal 1 binary64))) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))))) eps)
(+ (* (exp (* x (- -1 eps))) (/ (+ eps 1) eps)) (* (exp (- (* x eps) x)) (/ (+ eps 1) eps)))
(/.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))))) eps)
(exp (* x (- -1 eps)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(* x (- -1 eps))
(*.f64 x (-.f64 #s(literal -1 binary64) eps))
x
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
eps
(/ (+ eps 1) eps)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))
(+ eps 1)
(+.f64 eps #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* (exp (- (* x eps) x)) (/ (+ eps 1) eps))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps))))
(exp (- (* x eps) x))
(exp.f64 (*.f64 x (+.f64 #s(literal -1 binary64) eps)))
(- (* x eps) x)
(*.f64 x (+.f64 #s(literal -1 binary64) eps))
(* x eps)
(*.f64 x eps)
1/2
#s(literal 1/2 binary64)
(/ 0 eps)
#s(literal 0 binary64)
0
#s(literal 0 binary64)
eps
(+ (* x (* x (+ (* 1/2 (* eps eps)) -1/2))) 1)
(fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
x
(* x (+ (* 1/2 (* eps eps)) -1/2))
(*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1/2 binary64)))
(+ (* 1/2 (* eps eps)) -1/2)
(fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
1/2
#s(literal 1/2 binary64)
(* eps eps)
(*.f64 eps eps)
eps
-1/2
#s(literal -1/2 binary64)
1
#s(literal 1 binary64)
(+ (* (+ (* (/ (+ (* eps (* eps eps)) 1) (- (+ (* eps eps) 1) eps)) (+ -1 (/ 1 eps))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* 1/2 x)) 1)
(fma.f64 (fma.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal -1 binary64) (+.f64 eps (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(+ (* (/ (+ (* eps (* eps eps)) 1) (- (+ (* eps eps) 1) eps)) (+ -1 (/ 1 eps))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))
(fma.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps))) (+.f64 #s(literal -1 binary64) (+.f64 eps (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))
(/ (+ (* eps (* eps eps)) 1) (- (+ (* eps eps) 1) eps))
(/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps)))
(+ (* eps (* eps eps)) 1)
(fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64))
eps
(* eps eps)
(*.f64 eps eps)
1
#s(literal 1 binary64)
(- (+ (* eps eps) 1) eps)
(fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps))
(+ (* eps eps) 1)
(fma.f64 eps 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)
(+ (+ -1 eps) (/ (+ -1 eps) eps))
(+.f64 #s(literal -1 binary64) (+.f64 eps (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))
(+ -1 eps)
(+.f64 #s(literal -1 binary64) eps)
(/ (+ -1 eps) eps)
(/.f64 (+.f64 #s(literal -1 binary64) eps) eps)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
x
(+ (* x (+ (* x (* 1/4 (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps))))) (* 1/2 (+ (* (/ (- 1 (* eps eps)) (+ (* eps (* eps eps)) -1)) (+ (* eps (+ -1 eps)) 1)) (+ (/ (+ -1 eps) eps) (+ (- -1 eps) (/ (+ eps 1) eps))))))) 1)
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (+.f64 (-.f64 eps (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (fma.f64 (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))) (*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) (+.f64 eps (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (*.f64 x #s(literal 1/4 binary64)))) #s(literal 1 binary64))
x
(+ (* x (* 1/4 (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps))))) (* 1/2 (+ (* (/ (- 1 (* eps eps)) (+ (* eps (* eps eps)) -1)) (+ (* eps (+ -1 eps)) 1)) (+ (/ (+ -1 eps) eps) (+ (- -1 eps) (/ (+ eps 1) eps))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (+.f64 (-.f64 eps (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (fma.f64 (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))) (*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) (+.f64 eps (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) (*.f64 x #s(literal 1/4 binary64))))
(* 1/4 (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps))))
(*.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) (+.f64 eps (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))))
1/4
#s(literal 1/4 binary64)
(+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))
(fma.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))) (*.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal -1 binary64) (+.f64 eps (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))))
(+ -1 eps)
(+.f64 #s(literal -1 binary64) eps)
-1
#s(literal -1 binary64)
eps
(+ (+ -1 eps) (/ (+ -1 eps) eps))
(+.f64 #s(literal -1 binary64) (+.f64 eps (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)))
(/ (+ -1 eps) eps)
(/.f64 (+.f64 #s(literal -1 binary64) eps) eps)
(* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps))
(*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))))
(+ (/ (+ eps 1) eps) (- -1 eps))
(+.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))
(/ (+ eps 1) eps)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps))
(+ eps 1)
(+.f64 eps #s(literal 1 binary64))
1
#s(literal 1 binary64)
(- -1 eps)
(-.f64 #s(literal -1 binary64) eps)
(* 1/2 (+ (* (/ (- 1 (* eps eps)) (+ (* eps (* eps eps)) -1)) (+ (* eps (+ -1 eps)) 1)) (+ (/ (+ -1 eps) eps) (+ (- -1 eps) (/ (+ eps 1) eps)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -1 binary64) (+.f64 (-.f64 eps (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (fma.f64 (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64))))))
1/2
#s(literal 1/2 binary64)
(+ (* (/ (- 1 (* eps eps)) (+ (* eps (* eps eps)) -1)) (+ (* eps (+ -1 eps)) 1)) (+ (/ (+ -1 eps) eps) (+ (- -1 eps) (/ (+ eps 1) eps))))
(-.f64 #s(literal -1 binary64) (+.f64 (-.f64 eps (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (fma.f64 (fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)))))
(/ (- 1 (* eps eps)) (+ (* eps (* eps eps)) -1))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)))
(- 1 (* eps eps))
(-.f64 #s(literal 1 binary64) (*.f64 eps eps))
(* eps eps)
(*.f64 eps eps)
(+ (* eps (* eps eps)) -1)
(fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))
(+ (* eps (+ -1 eps)) 1)
(fma.f64 eps eps (-.f64 #s(literal 1 binary64) eps))
(+ (/ (+ -1 eps) eps) (+ (- -1 eps) (/ (+ eps 1) eps)))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)) (+.f64 #s(literal -1 binary64) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) eps) eps) eps)))
(+ (- -1 eps) (/ (+ eps 1) eps))
(+.f64 (-.f64 #s(literal -1 binary64) eps) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) eps)))

localize1.8s (11.1%)

Memory
5.4MiB live, 2 065.0MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy98.1%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)))
✓accuracy95.3%
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))) (fma.f64 eps (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) eps) eps) (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))))
✓accuracy84.9%
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) eps) eps) (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))
✓accuracy84.9%
(fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) eps)
✓accuracy100.0%
(*.f64 eps eps)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) x)
✓accuracy98.2%
(/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps))
✓accuracy100.0%
(fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) #s(literal 1 binary64))
✓accuracy100.0%
(fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))
✓accuracy100.0%
(*.f64 eps eps)
✓accuracy98.2%
(*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) #s(literal -1/2 binary64)))
✓accuracy100.0%
(/.f64 #s(literal 0 binary64) eps)
✓accuracy100.0%
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
✓accuracy100.0%
(exp.f64 #s(literal -1 binary64))
✓accuracy98.5%
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))) #s(literal 1/2 binary64)))))
✓accuracy97.4%
(log.f64 (*.f64 (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))) #s(literal 1/2 binary64)))
Samples
991.0ms140×5exit
407.0ms70×4exit
69.0ms30×1valid
18.0ms13×2valid
4.0ms2×3valid
3.0ms1×4valid
Compiler

Compiled 728 to 67 computations (90.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-pow: 658.0ms (48.1% of total)
ival-mult: 233.0ms (17% of total)
adjust: 157.0ms (11.5% of total)
ival-add: 135.0ms (9.9% of total)
ival-exp: 83.0ms (6.1% of total)
ival-div: 46.0ms (3.4% of total)
ival-log: 31.0ms (2.3% of total)
ival-sub: 17.0ms (1.2% of total)
ival-neg: 4.0ms (0.3% of total)
exact: 2.0ms (0.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series179.0ms (1.1%)

Memory
-0.5MiB live, 312.9MiB allocated
Counts
24 → 396
Calls
Call 1
Inputs
#<alt (+ (* (exp (* x (- -1 eps))) (/ (+ eps 1) eps)) (* (exp (- (* x eps) x)) (/ (+ eps 1) eps)))>
#<alt (pow (exp -1) (neg (log (* (+ (* (exp (* x (- -1 eps))) (/ (+ eps 1) eps)) (* (exp (- (* x eps) x)) (/ (+ eps 1) eps))) 1/2))))>
#<alt (exp -1)>
#<alt (neg (log (* (+ (* (exp (* x (- -1 eps))) (/ (+ eps 1) eps)) (* (exp (- (* x eps) x)) (/ (+ eps 1) eps))) 1/2)))>
#<alt (/ 0 eps)>
#<alt (+ (* x (* x (+ (* 1/2 (* eps eps)) -1/2))) 1)>
#<alt (* x (+ (* 1/2 (* eps eps)) -1/2))>
#<alt (+ (* 1/2 (* eps eps)) -1/2)>
#<alt (* eps eps)>
#<alt (+ (* (+ (* (/ (+ (* eps (* eps eps)) 1) (- (+ (* eps eps) 1) eps)) (+ -1 (/ 1 eps))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* 1/2 x)) 1)>
#<alt (+ (* (/ (+ (* eps (* eps eps)) 1) (- (+ (* eps eps) 1) eps)) (+ -1 (/ 1 eps))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))>
#<alt (/ (+ (* eps (* eps eps)) 1) (- (+ (* eps eps) 1) eps))>
#<alt (+ (* eps (* eps eps)) 1)>
#<alt (+ (* (/ (- 1 (* eps eps)) (+ (* eps (* eps eps)) -1)) (+ (* eps (+ -1 eps)) 1)) (+ (/ (+ -1 eps) eps) (+ (- -1 eps) (/ (+ eps 1) eps))))>
#<alt (+ (* x (+ (* x (* 1/4 (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps))))) (* 1/2 (+ (* (/ (- 1 (* eps eps)) (+ (* eps (* eps eps)) -1)) (+ (* eps (+ -1 eps)) 1)) (+ (/ (+ -1 eps) eps) (+ (- -1 eps) (/ (+ eps 1) eps))))))) 1)>
#<alt (+ (* x (* 1/4 (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps))))) (* 1/2 (+ (* (/ (- 1 (* eps eps)) (+ (* eps (* eps eps)) -1)) (+ (* eps (+ -1 eps)) 1)) (+ (/ (+ -1 eps) eps) (+ (- -1 eps) (/ (+ eps 1) eps))))))>
#<alt (* 1/4 (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps))))>
#<alt (log (* (+ (* (exp (* x (- -1 eps))) (/ (+ eps 1) eps)) (* (exp (- (* x eps) x)) (/ (+ eps 1) eps))) 1/2))>
#<alt (exp (* x (- -1 eps)))>
#<alt (* 1/2 x)>
#<alt (+ -1 eps)>
#<alt (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))>
#<alt (+ (/ (+ -1 eps) eps) (+ (- -1 eps) (/ (+ eps 1) eps)))>
#<alt (/ (- 1 (* eps eps)) (+ (* eps (* eps eps)) -1))>
Outputs
#<alt (+ 2 (* 2 (/ 1 eps)))>
#<alt (+ 2 (+ (* 2 (/ 1 eps)) (* x (+ (* -1 (/ (pow (+ 1 eps) 2) eps)) (/ (* (+ 1 eps) (- eps 1)) eps)))))>
#<alt (+ 2 (+ (* 2 (/ 1 eps)) (* x (+ (* -1 (/ (pow (+ 1 eps) 2) eps)) (+ (* x (+ (* 1/2 (/ (* (+ 1 eps) (pow (- eps 1) 2)) eps)) (* 1/2 (/ (pow (+ 1 eps) 3) eps)))) (/ (* (+ 1 eps) (- eps 1)) eps))))))>
#<alt (+ 2 (+ (* 2 (/ 1 eps)) (* x (+ (* -1 (/ (pow (+ 1 eps) 2) eps)) (+ (* x (+ (* 1/2 (/ (* (+ 1 eps) (pow (- eps 1) 2)) eps)) (+ (* 1/2 (/ (pow (+ 1 eps) 3) eps)) (* x (+ (* -1/6 (/ (pow (+ 1 eps) 4) eps)) (* 1/6 (/ (* (+ 1 eps) (pow (- eps 1) 3)) eps))))))) (/ (* (+ 1 eps) (- eps 1)) eps))))))>
#<alt (+ (/ (* (exp (* -1 (* x (+ 1 eps)))) (+ 1 eps)) eps) (/ (* (exp (- (* eps x) x)) (+ 1 eps)) eps))>
#<alt (+ (/ (* (exp (* -1 (* x (+ 1 eps)))) (+ 1 eps)) eps) (/ (* (exp (- (* eps x) x)) (+ 1 eps)) eps))>
#<alt (+ (/ (* (exp (* -1 (* x (+ 1 eps)))) (+ 1 eps)) eps) (/ (* (exp (- (* eps x) x)) (+ 1 eps)) eps))>
#<alt (+ (/ (* (exp (* -1 (* x (+ 1 eps)))) (+ 1 eps)) eps) (/ (* (exp (- (* eps x) x)) (+ 1 eps)) eps))>
#<alt (+ (/ (* (exp (* -1 (* x (+ 1 eps)))) (+ 1 eps)) eps) (/ (* (exp (+ (* -1 x) (* eps x))) (+ 1 eps)) eps))>
#<alt (+ (/ (* (exp (* -1 (* x (+ 1 eps)))) (+ 1 eps)) eps) (/ (* (exp (+ (* -1 x) (* eps x))) (+ 1 eps)) eps))>
#<alt (+ (/ (* (exp (* -1 (* x (+ 1 eps)))) (+ 1 eps)) eps) (/ (* (exp (+ (* -1 x) (* eps x))) (+ 1 eps)) eps))>
#<alt (+ (/ (* (exp (* -1 (* x (+ 1 eps)))) (+ 1 eps)) eps) (/ (* (exp (+ (* -1 x) (* eps x))) (+ 1 eps)) eps))>
#<alt (/ (+ (exp (neg x)) (exp (* -1 x))) eps)>
#<alt (/ (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (exp (neg x)) (+ (exp (* -1 x)) (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x))))))))) eps)>
#<alt (/ (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (exp (neg x)) (+ (exp (* -1 x)) (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* x (exp (neg x))))))) (* x (exp (neg x)))))))))) eps)>
#<alt (/ (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (exp (neg x)) (+ (exp (* -1 x)) (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* 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)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))) (* x (exp (neg x)))))))) (* x (exp (neg x)))))))))) eps)>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (+ (exp (- (* eps x) x)) (+ (/ (exp (* -1 (* x (+ 1 eps)))) eps) (/ (exp (- (* eps x) x)) eps))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (+ (exp (- (* eps x) x)) (+ (/ (exp (* -1 (* x (+ 1 eps)))) eps) (/ (exp (- (* eps x) x)) eps))))>
#<alt (+ (exp (* -1 (* x (+ 1 eps)))) (+ (exp (- (* eps x) x)) (+ (/ (exp (* -1 (* x (+ 1 eps)))) eps) (/ (exp (- (* eps x) x)) eps))))>
#<alt (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x)))>
#<alt (+ (exp (* x (- (* -1 eps) 1))) (+ (exp (- (* eps x) x)) (* -1 (/ (+ (* -1 (exp (* x (- (* -1 eps) 1)))) (* -1 (exp (- (* eps x) x)))) eps))))>
#<alt (+ (exp (* x (- (* -1 eps) 1))) (+ (exp (- (* eps x) x)) (* -1 (/ (+ (* -1 (exp (* x (- (* -1 eps) 1)))) (* -1 (exp (- (* eps x) x)))) eps))))>
#<alt (+ (exp (* x (- (* -1 eps) 1))) (+ (exp (- (* eps x) x)) (* -1 (/ (+ (* -1 (exp (* x (- (* -1 eps) 1)))) (* -1 (exp (- (* eps x) x)))) eps))))>
#<alt (* 1/2 (+ 2 (* 2 (/ 1 eps))))>
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#<alt (+ (log (* 1/2 (+ (exp (neg x)) (exp (* -1 x))))) (+ (* -1 (log eps)) (* eps (+ (* -1 (/ (* x (exp (* -1 x))) (+ (exp (neg x)) (exp (* -1 x))))) (+ (* eps (+ (* 1/6 (* eps (+ (* -6 (/ (* (+ (exp (neg x)) (+ (exp (* -1 x)) (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x)))))) (+ (* -1 (* x (exp (* -1 x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* x (exp (neg x))))))) (pow (+ (exp (neg x)) (exp (* -1 x))) 2))) (+ (* 2 (/ (pow (+ (exp (neg x)) (+ (exp (* -1 x)) (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x)))))) 3) (pow (+ (exp (neg x)) (exp (* -1 x))) 3))) (* 6 (/ (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))) (+ (exp (neg x)) (exp (* -1 x))))))))) (* 1/2 (+ (* -1 (/ (pow (+ (exp (neg x)) (+ (exp (* -1 x)) (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x)))))) 2) (pow (+ (exp (neg x)) (exp (* -1 x))) 2))) (* 2 (/ (+ (* -1 (* x (exp (* -1 x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* x (exp (neg x)))))) (+ (exp (neg x)) (exp (* -1 x))))))))) (+ (/ (exp (neg x)) (+ (exp (neg x)) (exp (* -1 x)))) (+ (/ (exp (* -1 x)) (+ (exp (neg x)) (exp (* -1 x)))) (/ (* x (exp (neg x))) (+ (exp (neg x)) (exp (* -1 x)))))))))))>
#<alt (log (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))))>
#<alt (+ (log (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))) (/ 1 eps))>
#<alt (- (+ (log (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))) (/ 1 eps)) (/ 1/2 (pow eps 2)))>
#<alt (- (+ (log (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))) (+ (/ 1 eps) (* 1/3 (/ 1 (pow eps 3))))) (/ 1/2 (pow eps 2)))>
#<alt (log (* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x)))))>
#<alt (+ (log (* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))) (* -1 (/ (+ (* -1 (/ (exp (* x (- (* -1 eps) 1))) (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))) (* -1 (/ (exp (- (* eps x) x)) (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x)))))) eps)))>
#<alt (+ (log (* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))) (* -1 (/ (+ (* -1 (/ (exp (* x (- (* -1 eps) 1))) (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))) (+ (* -1 (/ (exp (- (* eps x) x)) (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))) (* 1/2 (/ (pow (+ (* -1 (exp (* x (- (* -1 eps) 1)))) (* -1 (exp (- (* eps x) x)))) 2) (* eps (pow (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))) 2)))))) eps)))>
#<alt (+ (log (* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))) (* -1 (/ (+ (* -1 (/ (exp (* x (- (* -1 eps) 1))) (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))) (+ (* -1 (/ (exp (- (* eps x) x)) (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))) (* -1 (/ (+ (* -1/2 (/ (pow (+ (* -1 (exp (* x (- (* -1 eps) 1)))) (* -1 (exp (- (* eps x) x)))) 2) (pow (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))) 2))) (* -1/3 (/ (pow (+ (* -1 (exp (* x (- (* -1 eps) 1)))) (* -1 (exp (- (* eps x) x)))) 3) (* eps (pow (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))) 3))))) eps)))) eps)))>
#<alt 1>
#<alt (+ 1 (* -1 (* x (+ 1 eps))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))>
#<alt (+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 x))>
#<alt (+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))))))>
#<alt (+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* -1 (* x (+ 1 eps))))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (exp (* x (- (* -1 eps) 1)))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt -1>
#<alt (- eps 1)>
#<alt (- eps 1)>
#<alt (- eps 1)>
#<alt eps>
#<alt (* eps (- 1 (/ 1 eps)))>
#<alt (* eps (- 1 (/ 1 eps)))>
#<alt (* eps (- 1 (/ 1 eps)))>
#<alt eps>
#<alt (* -1 (* eps (- (/ 1 eps) 1)))>
#<alt (* -1 (* eps (- (/ 1 eps) 1)))>
#<alt (* -1 (* eps (- (/ 1 eps) 1)))>
#<alt -2>
#<alt (- (* 2 (pow eps 2)) 2)>
#<alt (- (* 2 (pow eps 2)) 2)>
#<alt (- (* 2 (pow eps 2)) 2)>
#<alt (* 2 (pow eps 2))>
#<alt (* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))>
#<alt (* 2 (pow eps 2))>
#<alt (* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))>
#<alt (* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))>
#<alt 1>
#<alt (+ 1 (* -1 eps))>
#<alt (+ 1 (* -1 eps))>
#<alt (+ 1 (* -1 eps))>
#<alt (* -1 eps)>
#<alt (* eps (- (/ 1 eps) 1))>
#<alt (* eps (- (/ 1 eps) 1))>
#<alt (* eps (- (/ 1 eps) 1))>
#<alt (* -1 eps)>
#<alt (* -1 (* eps (- 1 (/ 1 eps))))>
#<alt (* -1 (* eps (- 1 (/ 1 eps))))>
#<alt (* -1 (* eps (- 1 (/ 1 eps))))>
#<alt -1>
#<alt (- (pow eps 2) 1)>
#<alt (- (* (pow eps 2) (+ 1 (* -1 eps))) 1)>
#<alt (- (* (pow eps 2) (+ 1 (* eps (- (pow eps 2) 1)))) 1)>
#<alt (/ -1 eps)>
#<alt (/ (- (/ 1 (pow eps 2)) 1) eps)>
#<alt (/ (- (/ 1 (pow eps 2)) (+ 1 (/ 1 (pow eps 3)))) eps)>
#<alt (/ (- (+ (/ 1 (pow eps 2)) (/ 1 (pow eps 5))) (+ 1 (/ 1 (pow eps 3)))) eps)>
#<alt (/ -1 eps)>
#<alt (* -1 (/ (- 1 (/ 1 (pow eps 2))) eps))>
#<alt (* -1 (/ (- (+ 1 (/ 1 (pow eps 3))) (/ 1 (pow eps 2))) eps))>
#<alt (* -1 (/ (- (+ 1 (* -1 (/ (- (/ 1 (pow eps 2)) 1) (pow eps 3)))) (/ 1 (pow eps 2))) eps))>
Calls

99 calls:

TimeVariablePointExpression
72.0ms
x
@inf
(pow (exp -1) (neg (log (* (+ (* (exp (* x (- -1 eps))) (/ (+ eps 1) eps)) (* (exp (- (* x eps) x)) (/ (+ eps 1) eps))) 1/2))))
27.0ms
x
@-inf
(pow (exp -1) (neg (log (* (+ (* (exp (* x (- -1 eps))) (/ (+ eps 1) eps)) (* (exp (- (* x eps) x)) (/ (+ eps 1) eps))) 1/2))))
12.0ms
eps
@inf
(pow (exp -1) (neg (log (* (+ (* (exp (* x (- -1 eps))) (/ (+ eps 1) eps)) (* (exp (- (* x eps) x)) (/ (+ eps 1) eps))) 1/2))))
10.0ms
x
@-inf
(* x (+ (* 1/2 (* eps eps)) -1/2))
6.0ms
eps
@0
(pow (exp -1) (neg (log (* (+ (* (exp (* x (- -1 eps))) (/ (+ eps 1) eps)) (* (exp (- (* x eps) x)) (/ (+ eps 1) eps))) 1/2))))

rewrite542.0ms (3.4%)

Memory
-6.4MiB live, 709.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 062×*-lowering-*.f32
4 062×*-lowering-*.f64
4 042×accelerator-lowering-fma.f32
4 042×accelerator-lowering-fma.f64
2 620×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065478
1492445
26201444
08008420
Stop Event
1×iter limit
1×node limit
Counts
24 → 621
Calls
Call 1
Inputs
(+ (* (exp (* x (- -1 eps))) (/ (+ eps 1) eps)) (* (exp (- (* x eps) x)) (/ (+ eps 1) eps)))
(pow (exp -1) (neg (log (* (+ (* (exp (* x (- -1 eps))) (/ (+ eps 1) eps)) (* (exp (- (* x eps) x)) (/ (+ eps 1) eps))) 1/2))))
(exp -1)
(neg (log (* (+ (* (exp (* x (- -1 eps))) (/ (+ eps 1) eps)) (* (exp (- (* x eps) x)) (/ (+ eps 1) eps))) 1/2)))
(/ 0 eps)
(+ (* x (* x (+ (* 1/2 (* eps eps)) -1/2))) 1)
(* x (+ (* 1/2 (* eps eps)) -1/2))
(+ (* 1/2 (* eps eps)) -1/2)
(* eps eps)
(+ (* (+ (* (/ (+ (* eps (* eps eps)) 1) (- (+ (* eps eps) 1) eps)) (+ -1 (/ 1 eps))) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* 1/2 x)) 1)
(+ (* (/ (+ (* eps (* eps eps)) 1) (- (+ (* eps eps) 1) eps)) (+ -1 (/ 1 eps))) (+ (+ -1 eps) (/ (+ -1 eps) eps)))
(/ (+ (* eps (* eps eps)) 1) (- (+ (* eps eps) 1) eps))
(+ (* eps (* eps eps)) 1)
(+ (* (/ (- 1 (* eps eps)) (+ (* eps (* eps eps)) -1)) (+ (* eps (+ -1 eps)) 1)) (+ (/ (+ -1 eps) eps) (+ (- -1 eps) (/ (+ eps 1) eps))))
(+ (* x (+ (* x (* 1/4 (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps))))) (* 1/2 (+ (* (/ (- 1 (* eps eps)) (+ (* eps (* eps eps)) -1)) (+ (* eps (+ -1 eps)) 1)) (+ (/ (+ -1 eps) eps) (+ (- -1 eps) (/ (+ eps 1) eps))))))) 1)
(+ (* x (* 1/4 (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps))))) (* 1/2 (+ (* (/ (- 1 (* eps eps)) (+ (* eps (* eps eps)) -1)) (+ (* eps (+ -1 eps)) 1)) (+ (/ (+ -1 eps) eps) (+ (- -1 eps) (/ (+ eps 1) eps))))))
(* 1/4 (+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps))))
(log (* (+ (* (exp (* x (- -1 eps))) (/ (+ eps 1) eps)) (* (exp (- (* x eps) x)) (/ (+ eps 1) eps))) 1/2))
(exp (* x (- -1 eps)))
(* 1/2 x)
(+ -1 eps)
(+ (* (+ -1 eps) (+ (+ -1 eps) (/ (+ -1 eps) eps))) (* (+ (/ (+ eps 1) eps) (- -1 eps)) (- -1 eps)))
(+ (/ (+ -1 eps) eps) (+ (- -1 eps) (/ (+ eps 1) eps)))
(/ (- 1 (* eps eps)) (+ (* eps (* eps eps)) -1))
Outputs
(+.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) (*.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (exp.f64 (fma.f64 x eps (neg.f64 x)))))
(+.f64 (*.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (exp.f64 (fma.f64 x eps (neg.f64 x)))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))
(-.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (fma.f64 x eps (neg.f64 x)))))) (/.f64 (pow.f64 (*.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (exp.f64 (fma.f64 x eps (neg.f64 x)))) #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (fma.f64 x eps (neg.f64 x)))))))
(fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (*.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (exp.f64 (fma.f64 x eps (neg.f64 x)))))
(fma.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (*.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (exp.f64 (fma.f64 x eps (neg.f64 x)))))
(fma.f64 (+.f64 eps #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) eps) (exp.f64 (fma.f64 x eps (neg.f64 x)))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))
(fma.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (*.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (exp.f64 (fma.f64 x eps (neg.f64 x)))))
(fma.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (exp.f64 (fma.f64 x eps (neg.f64 x))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))
(fma.f64 (exp.f64 (fma.f64 x eps (neg.f64 x))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))
(fma.f64 (*.f64 (+.f64 eps #s(literal 1 binary64)) (exp.f64 (fma.f64 x eps (neg.f64 x)))) (/.f64 #s(literal 1 binary64) eps) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)))
(fma.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 eps #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) eps) (*.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (exp.f64 (fma.f64 x eps (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (exp.f64 (fma.f64 x eps (neg.f64 x)))) (-.f64 (*.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (exp.f64 (fma.f64 x eps (neg.f64 x)))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))) (pow.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (exp.f64 (fma.f64 x eps (neg.f64 x)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (fma.f64 x eps (neg.f64 x))))) (-.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (exp.f64 (fma.f64 x eps (neg.f64 x)))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (exp.f64 (fma.f64 x eps (neg.f64 x)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (exp.f64 (fma.f64 x eps (neg.f64 x)))) (-.f64 (*.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (exp.f64 (fma.f64 x eps (neg.f64 x)))) (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))) (pow.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (exp.f64 (fma.f64 x eps (neg.f64 x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (exp.f64 (fma.f64 x eps (neg.f64 x)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (+.f64 eps #s(literal 1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) (exp.f64 (fma.f64 x eps (neg.f64 x))))) (*.f64 eps eps)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (exp.f64 (fma.f64 x eps (neg.f64 x)))) #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (exp.f64 (fma.f64 x eps (neg.f64 x))))))
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(*.f64 (fma.f64 eps (neg.f64 eps) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))) #s(literal 1 binary64)))
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(*.f64 (/.f64 (fma.f64 eps (neg.f64 eps) #s(literal 1 binary64)) (fma.f64 (*.f64 eps (*.f64 eps eps)) (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal -1 binary64))) (-.f64 (fma.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 1 binary64)) (*.f64 (*.f64 eps eps) (neg.f64 eps))))
(*.f64 (/.f64 (fma.f64 eps (neg.f64 eps) #s(literal 1 binary64)) (fma.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal -1 binary64))) (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)))

simplify526.0ms (3.3%)

Memory
-0.1MiB live, 923.4MiB allocated
Algorithm
1×egg-herbie
Rules
11 728×accelerator-lowering-fma.f32
11 728×accelerator-lowering-fma.f64
7 626×*-lowering-*.f32
7 626×*-lowering-*.f64
6 012×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073210095
124848754
085158328
Stop Event
1×iter limit
1×node limit
Counts
396 → 396
Calls
Call 1
Inputs
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(+ (log (* 1/2 (+ 2 (* 2 (/ 1 eps))))) (* x (+ (* -1 (/ (pow (+ 1 eps) 2) (* eps (+ 2 (* 2 (/ 1 eps)))))) (+ (* 1/2 (* x (+ (* -1 (/ (pow (+ (* -1 (/ (pow (+ 1 eps) 2) eps)) (/ (* (+ 1 eps) (- eps 1)) eps)) 2) (pow (+ 2 (* 2 (/ 1 eps))) 2))) (* 2 (/ (+ (* 1/2 (/ (* (+ 1 eps) (pow (- eps 1) 2)) eps)) (* 1/2 (/ (pow (+ 1 eps) 3) eps))) (+ 2 (* 2 (/ 1 eps)))))))) (/ (* (+ 1 eps) (- eps 1)) (* eps (+ 2 (* 2 (/ 1 eps)))))))))
(+ (log (* 1/2 (+ 2 (* 2 (/ 1 eps))))) (* x (+ (* -1 (/ (pow (+ 1 eps) 2) (* eps (+ 2 (* 2 (/ 1 eps)))))) (+ (* x (+ (* 1/6 (* x (+ (* -6 (/ (* (+ (* -1 (/ (pow (+ 1 eps) 2) eps)) (/ (* (+ 1 eps) (- eps 1)) eps)) (+ (* 1/2 (/ (* (+ 1 eps) (pow (- eps 1) 2)) eps)) (* 1/2 (/ (pow (+ 1 eps) 3) eps)))) (pow (+ 2 (* 2 (/ 1 eps))) 2))) (+ (* 2 (/ (pow (+ (* -1 (/ (pow (+ 1 eps) 2) eps)) (/ (* (+ 1 eps) (- eps 1)) eps)) 3) (pow (+ 2 (* 2 (/ 1 eps))) 3))) (* 6 (/ (+ (* -1/6 (/ (pow (+ 1 eps) 4) eps)) (* 1/6 (/ (* (+ 1 eps) (pow (- eps 1) 3)) eps))) (+ 2 (* 2 (/ 1 eps))))))))) (* 1/2 (+ (* -1 (/ (pow (+ (* -1 (/ (pow (+ 1 eps) 2) eps)) (/ (* (+ 1 eps) (- eps 1)) eps)) 2) (pow (+ 2 (* 2 (/ 1 eps))) 2))) (* 2 (/ (+ (* 1/2 (/ (* (+ 1 eps) (pow (- eps 1) 2)) eps)) (* 1/2 (/ (pow (+ 1 eps) 3) eps))) (+ 2 (* 2 (/ 1 eps))))))))) (/ (* (+ 1 eps) (- eps 1)) (* eps (+ 2 (* 2 (/ 1 eps)))))))))
(log (* 1/2 (+ (/ (* (exp (* -1 (* x (+ 1 eps)))) (+ 1 eps)) eps) (/ (* (exp (- (* eps x) x)) (+ 1 eps)) eps))))
(log (* 1/2 (+ (/ (* (exp (* -1 (* x (+ 1 eps)))) (+ 1 eps)) eps) (/ (* (exp (- (* eps x) x)) (+ 1 eps)) eps))))
(log (* 1/2 (+ (/ (* (exp (* -1 (* x (+ 1 eps)))) (+ 1 eps)) eps) (/ (* (exp (- (* eps x) x)) (+ 1 eps)) eps))))
(log (* 1/2 (+ (/ (* (exp (* -1 (* x (+ 1 eps)))) (+ 1 eps)) eps) (/ (* (exp (- (* eps x) x)) (+ 1 eps)) eps))))
(log (* 1/2 (+ (/ (* (exp (* -1 (* x (+ 1 eps)))) (+ 1 eps)) eps) (/ (* (exp (+ (* -1 x) (* eps x))) (+ 1 eps)) eps))))
(log (* 1/2 (+ (/ (* (exp (* -1 (* x (+ 1 eps)))) (+ 1 eps)) eps) (/ (* (exp (+ (* -1 x) (* eps x))) (+ 1 eps)) eps))))
(log (* 1/2 (+ (/ (* (exp (* -1 (* x (+ 1 eps)))) (+ 1 eps)) eps) (/ (* (exp (+ (* -1 x) (* eps x))) (+ 1 eps)) eps))))
(log (* 1/2 (+ (/ (* (exp (* -1 (* x (+ 1 eps)))) (+ 1 eps)) eps) (/ (* (exp (+ (* -1 x) (* eps x))) (+ 1 eps)) eps))))
(+ (log (* 1/2 (+ (exp (neg x)) (exp (* -1 x))))) (* -1 (log eps)))
(+ (log (* 1/2 (+ (exp (neg x)) (exp (* -1 x))))) (+ (* -1 (log eps)) (* eps (+ (* -1 (/ (* x (exp (* -1 x))) (+ (exp (neg x)) (exp (* -1 x))))) (+ (/ (exp (neg x)) (+ (exp (neg x)) (exp (* -1 x)))) (+ (/ (exp (* -1 x)) (+ (exp (neg x)) (exp (* -1 x)))) (/ (* x (exp (neg x))) (+ (exp (neg x)) (exp (* -1 x))))))))))
(+ (log (* 1/2 (+ (exp (neg x)) (exp (* -1 x))))) (+ (* -1 (log eps)) (* eps (+ (* -1 (/ (* x (exp (* -1 x))) (+ (exp (neg x)) (exp (* -1 x))))) (+ (* 1/2 (* eps (+ (* -1 (/ (pow (+ (exp (neg x)) (+ (exp (* -1 x)) (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x)))))) 2) (pow (+ (exp (neg x)) (exp (* -1 x))) 2))) (* 2 (/ (+ (* -1 (* x (exp (* -1 x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* x (exp (neg x)))))) (+ (exp (neg x)) (exp (* -1 x)))))))) (+ (/ (exp (neg x)) (+ (exp (neg x)) (exp (* -1 x)))) (+ (/ (exp (* -1 x)) (+ (exp (neg x)) (exp (* -1 x)))) (/ (* x (exp (neg x))) (+ (exp (neg x)) (exp (* -1 x)))))))))))
(+ (log (* 1/2 (+ (exp (neg x)) (exp (* -1 x))))) (+ (* -1 (log eps)) (* eps (+ (* -1 (/ (* x (exp (* -1 x))) (+ (exp (neg x)) (exp (* -1 x))))) (+ (* eps (+ (* 1/6 (* eps (+ (* -6 (/ (* (+ (exp (neg x)) (+ (exp (* -1 x)) (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x)))))) (+ (* -1 (* x (exp (* -1 x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* x (exp (neg x))))))) (pow (+ (exp (neg x)) (exp (* -1 x))) 2))) (+ (* 2 (/ (pow (+ (exp (neg x)) (+ (exp (* -1 x)) (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x)))))) 3) (pow (+ (exp (neg x)) (exp (* -1 x))) 3))) (* 6 (/ (+ (* -1/6 (* (pow x 3) (exp (* -1 x)))) (+ (* 1/6 (* (pow x 3) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x))))))) (+ (exp (neg x)) (exp (* -1 x))))))))) (* 1/2 (+ (* -1 (/ (pow (+ (exp (neg x)) (+ (exp (* -1 x)) (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x)))))) 2) (pow (+ (exp (neg x)) (exp (* -1 x))) 2))) (* 2 (/ (+ (* -1 (* x (exp (* -1 x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* x (exp (neg x)))))) (+ (exp (neg x)) (exp (* -1 x))))))))) (+ (/ (exp (neg x)) (+ (exp (neg x)) (exp (* -1 x)))) (+ (/ (exp (* -1 x)) (+ (exp (neg x)) (exp (* -1 x)))) (/ (* x (exp (neg x))) (+ (exp (neg x)) (exp (* -1 x)))))))))))
(log (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))))
(+ (log (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))) (/ 1 eps))
(- (+ (log (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))) (/ 1 eps)) (/ 1/2 (pow eps 2)))
(- (+ (log (* 1/2 (+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x))))) (+ (/ 1 eps) (* 1/3 (/ 1 (pow eps 3))))) (/ 1/2 (pow eps 2)))
(log (* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x)))))
(+ (log (* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))) (* -1 (/ (+ (* -1 (/ (exp (* x (- (* -1 eps) 1))) (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))) (* -1 (/ (exp (- (* eps x) x)) (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x)))))) eps)))
(+ (log (* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))) (* -1 (/ (+ (* -1 (/ (exp (* x (- (* -1 eps) 1))) (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))) (+ (* -1 (/ (exp (- (* eps x) x)) (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))) (* 1/2 (/ (pow (+ (* -1 (exp (* x (- (* -1 eps) 1)))) (* -1 (exp (- (* eps x) x)))) 2) (* eps (pow (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))) 2)))))) eps)))
(+ (log (* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))) (* -1 (/ (+ (* -1 (/ (exp (* x (- (* -1 eps) 1))) (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))) (+ (* -1 (/ (exp (- (* eps x) x)) (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))) (* -1 (/ (+ (* -1/2 (/ (pow (+ (* -1 (exp (* x (- (* -1 eps) 1)))) (* -1 (exp (- (* eps x) x)))) 2) (pow (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))) 2))) (* -1/3 (/ (pow (+ (* -1 (exp (* x (- (* -1 eps) 1)))) (* -1 (exp (- (* eps x) x)))) 3) (* eps (pow (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))) 3))))) eps)))) eps)))
1
(+ 1 (* -1 (* x (+ 1 eps))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 x))
(+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x))))))
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))))))
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* eps (+ (* -1/6 (* eps (* (pow x 3) (exp (* -1 x))))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* -1 (* x (+ 1 eps))))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(exp (* x (- (* -1 eps) 1)))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
-1
(- eps 1)
(- eps 1)
(- eps 1)
eps
(* eps (- 1 (/ 1 eps)))
(* eps (- 1 (/ 1 eps)))
(* eps (- 1 (/ 1 eps)))
eps
(* -1 (* eps (- (/ 1 eps) 1)))
(* -1 (* eps (- (/ 1 eps) 1)))
(* -1 (* eps (- (/ 1 eps) 1)))
-2
(- (* 2 (pow eps 2)) 2)
(- (* 2 (pow eps 2)) 2)
(- (* 2 (pow eps 2)) 2)
(* 2 (pow eps 2))
(* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))
(* 2 (pow eps 2))
(* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))
(* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))
1
(+ 1 (* -1 eps))
(+ 1 (* -1 eps))
(+ 1 (* -1 eps))
(* -1 eps)
(* eps (- (/ 1 eps) 1))
(* eps (- (/ 1 eps) 1))
(* eps (- (/ 1 eps) 1))
(* -1 eps)
(* -1 (* eps (- 1 (/ 1 eps))))
(* -1 (* eps (- 1 (/ 1 eps))))
(* -1 (* eps (- 1 (/ 1 eps))))
-1
(- (pow eps 2) 1)
(- (* (pow eps 2) (+ 1 (* -1 eps))) 1)
(- (* (pow eps 2) (+ 1 (* eps (- (pow eps 2) 1)))) 1)
(/ -1 eps)
(/ (- (/ 1 (pow eps 2)) 1) eps)
(/ (- (/ 1 (pow eps 2)) (+ 1 (/ 1 (pow eps 3)))) eps)
(/ (- (+ (/ 1 (pow eps 2)) (/ 1 (pow eps 5))) (+ 1 (/ 1 (pow eps 3)))) eps)
(/ -1 eps)
(* -1 (/ (- 1 (/ 1 (pow eps 2))) eps))
(* -1 (/ (- (+ 1 (/ 1 (pow eps 3))) (/ 1 (pow eps 2))) eps))
(* -1 (/ (- (+ 1 (* -1 (/ (- (/ 1 (pow eps 2)) 1) (pow eps 3)))) (/ 1 (pow eps 2))) eps))
Outputs
(+ 2 (* 2 (/ 1 eps)))
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) eps))
(+ 2 (+ (* 2 (/ 1 eps)) (* x (+ (* -1 (/ (pow (+ 1 eps) 2) eps)) (/ (* (+ 1 eps) (- eps 1)) eps)))))
(+.f64 #s(literal 2 binary64) (fma.f64 x (-.f64 (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) eps)) (/.f64 #s(literal 2 binary64) eps)))
(+ 2 (+ (* 2 (/ 1 eps)) (* x (+ (* -1 (/ (pow (+ 1 eps) 2) eps)) (+ (* x (+ (* 1/2 (/ (* (+ 1 eps) (pow (- eps 1) 2)) eps)) (* 1/2 (/ (pow (+ 1 eps) 3) eps)))) (/ (* (+ 1 eps) (- eps 1)) eps))))))
(fma.f64 x (+.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) eps) (fma.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 (/.f64 (*.f64 (+.f64 eps #s(literal -1 binary64)) (fma.f64 eps eps #s(literal -1 binary64))) eps) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps))) eps)) (/.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps))) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) eps)))
(+ 2 (+ (* 2 (/ 1 eps)) (* x (+ (* -1 (/ (pow (+ 1 eps) 2) eps)) (+ (* x (+ (* 1/2 (/ (* (+ 1 eps) (pow (- eps 1) 2)) eps)) (+ (* 1/2 (/ (pow (+ 1 eps) 3) eps)) (* x (+ (* -1/6 (/ (pow (+ 1 eps) 4) eps)) (* 1/6 (/ (* (+ 1 eps) (pow (- eps 1) 3)) eps))))))) (/ (* (+ 1 eps) (- eps 1)) eps))))))
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(+ (/ (* (exp (* -1 (* x (+ 1 eps)))) (+ 1 eps)) eps) (/ (* (exp (- (* eps x) x)) (+ 1 eps)) eps))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(+ (/ (* (exp (* -1 (* x (+ 1 eps)))) (+ 1 eps)) eps) (/ (* (exp (- (* eps x) x)) (+ 1 eps)) eps))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(+ (/ (* (exp (* -1 (* x (+ 1 eps)))) (+ 1 eps)) eps) (/ (* (exp (- (* eps x) x)) (+ 1 eps)) eps))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(+ (/ (* (exp (* -1 (* x (+ 1 eps)))) (+ 1 eps)) eps) (/ (* (exp (- (* eps x) x)) (+ 1 eps)) eps))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(+ (/ (* (exp (* -1 (* x (+ 1 eps)))) (+ 1 eps)) eps) (/ (* (exp (+ (* -1 x) (* eps x))) (+ 1 eps)) eps))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(+ (/ (* (exp (* -1 (* x (+ 1 eps)))) (+ 1 eps)) eps) (/ (* (exp (+ (* -1 x) (* eps x))) (+ 1 eps)) eps))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(+ (/ (* (exp (* -1 (* x (+ 1 eps)))) (+ 1 eps)) eps) (/ (* (exp (+ (* -1 x) (* eps x))) (+ 1 eps)) eps))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(+ (/ (* (exp (* -1 (* x (+ 1 eps)))) (+ 1 eps)) eps) (/ (* (exp (+ (* -1 x) (* eps x))) (+ 1 eps)) eps))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(/ (+ (exp (neg x)) (exp (* -1 x))) eps)
(/.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x))) eps)
(/ (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (exp (neg x)) (+ (exp (* -1 x)) (+ (* -1 (* x (exp (* -1 x)))) (* x (exp (neg x))))))))) eps)
(/.f64 (fma.f64 eps (fma.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (neg.f64 x) x))) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) eps)
(/ (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (exp (neg x)) (+ (exp (* -1 x)) (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (+ (* 1/2 (* (pow x 2) (exp (* -1 x)))) (* x (exp (neg x))))))) (* x (exp (neg x)))))))))) eps)
(/.f64 (fma.f64 eps (fma.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)) (fma.f64 eps (fma.f64 (*.f64 (exp.f64 (neg.f64 x)) (*.f64 x x)) #s(literal 1 binary64) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (neg.f64 x) x))) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 (neg.f64 x) x)))) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 x)))) eps)
(/ (+ (exp (neg x)) (+ (exp (* -1 x)) (* eps (+ (exp (neg x)) (+ (exp (* -1 x)) (+ (* -1 (* x (exp (* -1 x)))) (+ (* eps (+ (* -1 (* x (exp (* -1 x)))) (+ (* 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)))) (+ (* 1/2 (* (pow x 2) (exp (neg x)))) (* 1/2 (* (pow x 2) (exp (* -1 x)))))))) (* x (exp (neg x)))))))) (* x (exp (neg x)))))))))) eps)
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(+ (exp (* -1 (* x (+ 1 eps)))) (exp (- (* eps x) x)))
(+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (exp (* -1 (* x (+ 1 eps)))) (+ (exp (- (* eps x) x)) (+ (/ (exp (* -1 (* x (+ 1 eps)))) eps) (/ (exp (- (* eps x) x)) eps))))
(+.f64 (+.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) eps) (/.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) eps)) (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(+ (exp (* -1 (* x (+ 1 eps)))) (+ (exp (- (* eps x) x)) (+ (/ (exp (* -1 (* x (+ 1 eps)))) eps) (/ (exp (- (* eps x) x)) eps))))
(+.f64 (+.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) eps) (/.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) eps)) (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(+ (exp (* -1 (* x (+ 1 eps)))) (+ (exp (- (* eps x) x)) (+ (/ (exp (* -1 (* x (+ 1 eps)))) eps) (/ (exp (- (* eps x) x)) eps))))
(+.f64 (+.f64 (/.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) eps) (/.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) eps)) (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))
(+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x)))
(+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))
(+ (exp (* x (- (* -1 eps) 1))) (+ (exp (- (* eps x) x)) (* -1 (/ (+ (* -1 (exp (* x (- (* -1 eps) 1)))) (* -1 (exp (- (* eps x) x)))) eps))))
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(+ (log (* 1/2 (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))) (* -1 (/ (+ (* -1 (/ (exp (* x (- (* -1 eps) 1))) (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))) (+ (* -1 (/ (exp (- (* eps x) x)) (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))))) (* -1 (/ (+ (* -1/2 (/ (pow (+ (* -1 (exp (* x (- (* -1 eps) 1)))) (* -1 (exp (- (* eps x) x)))) 2) (pow (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))) 2))) (* -1/3 (/ (pow (+ (* -1 (exp (* x (- (* -1 eps) 1)))) (* -1 (exp (- (* eps x) x)))) 3) (* eps (pow (+ (exp (* x (- (* -1 eps) 1))) (exp (- (* eps x) x))) 3))))) eps)))) eps)))
(-.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (/.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))))) (/.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (-.f64 (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (-.f64 (*.f64 eps x) x))) #s(literal 2 binary64)) (pow.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 (-.f64 (neg.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) (exp.f64 (-.f64 (*.f64 eps x) x))) #s(literal 3 binary64))) (*.f64 eps (pow.f64 (+.f64 (exp.f64 (-.f64 (*.f64 eps x) x)) (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))) #s(literal 3 binary64))))) eps)) eps))
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x (+ 1 eps))))
(-.f64 #s(literal 1 binary64) (fma.f64 eps x x))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* 1/2 (* x (pow (+ 1 eps) 2))))))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) eps) (fma.f64 eps x x)) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))
(+ 1 (* x (+ (* -1 (+ 1 eps)) (* x (+ (* -1/6 (* x (pow (+ 1 eps) 3))) (* 1/2 (pow (+ 1 eps) 2)))))))
(fma.f64 x (fma.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) eps) (*.f64 (+.f64 #s(literal 1 binary64) eps) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) (+.f64 #s(literal 1 binary64) eps)) (fma.f64 eps x x)))) (-.f64 #s(literal -1 binary64) eps)) #s(literal 1 binary64))
(exp (* -1 (* x (+ 1 eps))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (* -1 (* x (+ 1 eps))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (* -1 (* x (+ 1 eps))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (* -1 (* x (+ 1 eps))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (* -1 (* x (+ 1 eps))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (* -1 (* x (+ 1 eps))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (* -1 (* x (+ 1 eps))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (* -1 (* x (+ 1 eps))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(+ (exp (* -1 x)) (* -1 (* eps (* x (exp (* -1 x))))))
(fma.f64 (*.f64 eps (neg.f64 x)) (exp.f64 (neg.f64 x)) (exp.f64 (neg.f64 x)))
(+ (exp (* -1 x)) (* eps (+ (* -1 (* x (exp (* -1 x)))) (* 1/2 (* eps (* (pow x 2) (exp (* -1 x))))))))
(fma.f64 eps (fma.f64 (neg.f64 x) (exp.f64 (neg.f64 x)) (*.f64 (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 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)))))))))
(fma.f64 eps (fma.f64 eps (fma.f64 (exp.f64 (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 eps (*.f64 x x)) x)) (exp.f64 (neg.f64 x)))) (*.f64 (neg.f64 x) (exp.f64 (neg.f64 x)))) (exp.f64 (neg.f64 x)))
(exp (* -1 (* x (+ 1 eps))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (* -1 (* x (+ 1 eps))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (* -1 (* x (+ 1 eps))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (* -1 (* x (+ 1 eps))))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (* x (- (* -1 eps) 1)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (* x (- (* -1 eps) 1)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (* x (- (* -1 eps) 1)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(exp (* x (- (* -1 eps) 1)))
(exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps)))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
-1
#s(literal -1 binary64)
(- eps 1)
(+.f64 eps #s(literal -1 binary64))
(- eps 1)
(+.f64 eps #s(literal -1 binary64))
(- eps 1)
(+.f64 eps #s(literal -1 binary64))
eps
(* eps (- 1 (/ 1 eps)))
(+.f64 eps (*.f64 eps (/.f64 #s(literal -1 binary64) eps)))
(* eps (- 1 (/ 1 eps)))
(+.f64 eps (*.f64 eps (/.f64 #s(literal -1 binary64) eps)))
(* eps (- 1 (/ 1 eps)))
(+.f64 eps (*.f64 eps (/.f64 #s(literal -1 binary64) eps)))
eps
(* -1 (* eps (- (/ 1 eps) 1)))
(neg.f64 (-.f64 #s(literal 1 binary64) eps))
(* -1 (* eps (- (/ 1 eps) 1)))
(neg.f64 (-.f64 #s(literal 1 binary64) eps))
(* -1 (* eps (- (/ 1 eps) 1)))
(neg.f64 (-.f64 #s(literal 1 binary64) eps))
-2
#s(literal -2 binary64)
(- (* 2 (pow eps 2)) 2)
(fma.f64 #s(literal 2 binary64) (*.f64 eps eps) #s(literal -2 binary64))
(- (* 2 (pow eps 2)) 2)
(fma.f64 #s(literal 2 binary64) (*.f64 eps eps) #s(literal -2 binary64))
(- (* 2 (pow eps 2)) 2)
(fma.f64 #s(literal 2 binary64) (*.f64 eps eps) #s(literal -2 binary64))
(* 2 (pow eps 2))
(*.f64 #s(literal 2 binary64) (*.f64 eps eps))
(* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))
(*.f64 (*.f64 eps eps) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 eps eps))))
(* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))
(*.f64 (*.f64 eps eps) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 eps eps))))
(* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))
(*.f64 (*.f64 eps eps) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 eps eps))))
(* 2 (pow eps 2))
(*.f64 #s(literal 2 binary64) (*.f64 eps eps))
(* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))
(*.f64 (*.f64 eps eps) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 eps eps))))
(* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))
(*.f64 (*.f64 eps eps) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 eps eps))))
(* (pow eps 2) (- 2 (* 2 (/ 1 (pow eps 2)))))
(*.f64 (*.f64 eps eps) (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 eps eps))))
1
#s(literal 1 binary64)
(+ 1 (* -1 eps))
(-.f64 #s(literal 1 binary64) eps)
(+ 1 (* -1 eps))
(-.f64 #s(literal 1 binary64) eps)
(+ 1 (* -1 eps))
(-.f64 #s(literal 1 binary64) eps)
(* -1 eps)
(neg.f64 eps)
(* eps (- (/ 1 eps) 1))
(-.f64 #s(literal 1 binary64) eps)
(* eps (- (/ 1 eps) 1))
(-.f64 #s(literal 1 binary64) eps)
(* eps (- (/ 1 eps) 1))
(-.f64 #s(literal 1 binary64) eps)
(* -1 eps)
(neg.f64 eps)
(* -1 (* eps (- 1 (/ 1 eps))))
(neg.f64 (+.f64 eps (*.f64 eps (/.f64 #s(literal -1 binary64) eps))))
(* -1 (* eps (- 1 (/ 1 eps))))
(neg.f64 (+.f64 eps (*.f64 eps (/.f64 #s(literal -1 binary64) eps))))
(* -1 (* eps (- 1 (/ 1 eps))))
(neg.f64 (+.f64 eps (*.f64 eps (/.f64 #s(literal -1 binary64) eps))))
-1
#s(literal -1 binary64)
(- (pow eps 2) 1)
(fma.f64 eps eps #s(literal -1 binary64))
(- (* (pow eps 2) (+ 1 (* -1 eps))) 1)
(fma.f64 eps (*.f64 eps (-.f64 #s(literal 1 binary64) eps)) #s(literal -1 binary64))
(- (* (pow eps 2) (+ 1 (* eps (- (pow eps 2) 1)))) 1)
(fma.f64 (*.f64 eps eps) (fma.f64 eps (fma.f64 eps eps #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(/ -1 eps)
(/.f64 #s(literal -1 binary64) eps)
(/ (- (/ 1 (pow eps 2)) 1) eps)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) eps)
(/ (- (/ 1 (pow eps 2)) (+ 1 (/ 1 (pow eps 3)))) eps)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps)))) eps)
(/ (- (+ (/ 1 (pow eps 2)) (/ 1 (pow eps 5))) (+ 1 (/ 1 (pow eps 3)))) eps)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 5 binary64))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps eps)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))))) eps)
(/ -1 eps)
(/.f64 #s(literal -1 binary64) eps)
(* -1 (/ (- 1 (/ 1 (pow eps 2))) eps))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps))) eps))
(* -1 (/ (- (+ 1 (/ 1 (pow eps 3))) (/ 1 (pow eps 2))) eps))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps eps))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))) (neg.f64 eps))
(* -1 (/ (- (+ 1 (* -1 (/ (- (/ 1 (pow eps 2)) 1) (pow eps 3)))) (/ 1 (pow eps 2))) eps))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 eps eps)) #s(literal 1 binary64)) (*.f64 eps (*.f64 eps eps))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 eps eps)))) (neg.f64 eps))

eval239.0ms (1.5%)

Memory
8.0MiB live, 400.0MiB allocated
Compiler

Compiled 77 116 to 4 348 computations (94.4% saved)

prune147.0ms (0.9%)

Memory
-5.3MiB live, 351.7MiB allocated
Pruning

23 alts after pruning (21 fresh and 2 done)

PrunedKeptTotal
New1 282111 293
Fresh61016
Picked415
Done011
Total1 292231 315
Accuracy
100.0%
Counts
1 315 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.6%
(fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
49.3%
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
56.5%
(fma.f64 x (fma.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps) eps (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
55.2%
(fma.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
33.5%
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 1/8 binary64) #s(literal -1/8 binary64)) x) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/4 binary64)))) #s(literal 1 binary64))
45.3%
(fma.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal -1/4 binary64)) x) (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))) #s(literal 1 binary64))
35.5%
(fma.f64 x (*.f64 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))
✓74.4%
(fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) #s(literal 1 binary64))
▶74.2%
(fma.f64 x (*.f64 x (*.f64 eps (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 1 binary64))
35.4%
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
▶74.2%
(fma.f64 x (*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
39.6%
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))) #s(literal 1/2 binary64)))))
33.8%
(/.f64 (fma.f64 (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))) #s(literal -1 binary64)) (fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)))
39.6%
(/.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)) #s(literal 1 binary64))) #s(literal 2 binary64))
▶51.9%
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))))
39.6%
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
51.9%
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) (exp.f64 x)))
▶35.5%
(*.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)))
49.3%
(*.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)))
36.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
39.3%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #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)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))) #s(literal -1 binary64)))
✓36.5%
#s(literal 1 binary64)
▶17.9%
#s(literal 0 binary64)
Compiler

Compiled 760 to 478 computations (37.1% saved)

simplify490.0ms (3.1%)

Memory
6.5MiB live, 768.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x)))
✓cost-diff0
(+.f64 x x)
✓cost-diff0
(+.f64 #s(literal 2 binary64) (+.f64 x x))
✓cost-diff512
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))))
✓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 eps #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 eps (*.f64 eps #s(literal 1/2 binary64)))
✓cost-diff0
(*.f64 x (*.f64 eps (*.f64 eps #s(literal 1/2 binary64))))
✓cost-diff0
(fma.f64 x (*.f64 x (*.f64 eps (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 1 binary64))
✓cost-diff0
(*.f64 x #s(literal 1/2 binary64))
✓cost-diff0
(*.f64 eps (*.f64 x #s(literal 1/2 binary64)))
✓cost-diff0
(*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/2 binary64))))
✓cost-diff0
(fma.f64 x (*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
Rules
22 096×accelerator-lowering-fma.f32
22 096×accelerator-lowering-fma.f64
3 928×+-lowering-+.f64
3 928×+-lowering-+.f32
3 704×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034174
198172
2299171
3939164
44551164
55464164
08762147
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* x (* eps (* eps (* x 1/2)))) 1)
x
(* eps (* eps (* x 1/2)))
eps
(* eps (* x 1/2))
(* x 1/2)
1/2
1
0
(+ (* x (* x (* eps (* eps 1/2)))) 1)
x
(* x (* eps (* eps 1/2)))
(* eps (* eps 1/2))
eps
(* eps 1/2)
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
(* (+ 2 (+ x x)) (* 1/2 (exp (neg x))))
(+ 2 (+ x x))
2
(+ x x)
x
(* 1/2 (exp (neg x)))
1/2
(exp (neg x))
(neg x)
Outputs
(+ (* x (* eps (* eps (* x 1/2)))) 1)
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 eps eps)) #s(literal 1 binary64))
x
(* eps (* eps (* x 1/2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps)))
eps
(* eps (* x 1/2))
(*.f64 eps (*.f64 x #s(literal 1/2 binary64)))
(* x 1/2)
(*.f64 x #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
1
#s(literal 1 binary64)
0
#s(literal 0 binary64)
(+ (* x (* x (* eps (* eps 1/2)))) 1)
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (*.f64 eps eps)) #s(literal 1 binary64))
x
(* x (* eps (* eps 1/2)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 eps eps)))
(* eps (* eps 1/2))
(*.f64 eps (*.f64 eps #s(literal 1/2 binary64)))
eps
(* eps 1/2)
(*.f64 eps #s(literal 1/2 binary64))
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 x #s(literal 1 binary64)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (+.f64 x x) #s(literal 2 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)
(* (+ 2 (+ x x)) (* 1/2 (exp (neg x))))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 x #s(literal 1 binary64)))
(+ 2 (+ x x))
(+.f64 #s(literal 2 binary64) (+.f64 x x))
2
#s(literal 2 binary64)
(+ x x)
(+.f64 x x)
x
(* 1/2 (exp (neg x)))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x)))
1/2
#s(literal 1/2 binary64)
(exp (neg x))
(exp.f64 (neg.f64 x))
(neg x)
(neg.f64 x)

localize99.0ms (0.6%)

Memory
-4.1MiB live, 189.6MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x)))
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(exp.f64 (neg.f64 x))
✓accuracy100.0%
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))))
✓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))
✓accuracy99.7%
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
✓accuracy100.0%
(*.f64 eps (*.f64 eps #s(literal 1/2 binary64)))
✓accuracy100.0%
(*.f64 eps #s(literal 1/2 binary64))
✓accuracy96.0%
(fma.f64 x (*.f64 x (*.f64 eps (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 1 binary64))
✓accuracy88.6%
(*.f64 x (*.f64 eps (*.f64 eps #s(literal 1/2 binary64))))
✓accuracy100.0%
(*.f64 x #s(literal 1/2 binary64))
✓accuracy100.0%
(*.f64 eps (*.f64 x #s(literal 1/2 binary64)))
✓accuracy99.8%
(*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/2 binary64))))
✓accuracy96.0%
(fma.f64 x (*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
Samples
58.0ms256×0valid
Compiler

Compiled 162 to 36 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
ival-mult: 22.0ms (52.5% of total)
ival-add: 12.0ms (28.6% of total)
const: 4.0ms (9.5% of total)
ival-exp: 2.0ms (4.8% of total)
exact: 1.0ms (2.4% of total)
ival-neg: 1.0ms (2.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.1%)

Memory
24.9MiB live, 24.9MiB allocated
Counts
19 → 288
Calls
Call 1
Inputs
#<alt (+ (* x (* eps (* eps (* x 1/2)))) 1)>
#<alt (* eps (* eps (* x 1/2)))>
#<alt (* eps (* x 1/2))>
#<alt (* x 1/2)>
#<alt (+ (* x (* x (* eps (* eps 1/2)))) 1)>
#<alt (* x (* eps (* eps 1/2)))>
#<alt (* eps (* eps 1/2))>
#<alt (* eps 1/2)>
#<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 (* (+ 2 (+ x x)) (* 1/2 (exp (neg x))))>
#<alt (+ 2 (+ x x))>
#<alt (+ x x)>
#<alt (* 1/2 (exp (neg x)))>
#<alt (+ (* x -1/6) 1/2)>
#<alt (exp (neg x))>
#<alt (neg x)>
Outputs
#<alt 1>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 (* eps x))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt 1>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* 1/2 (* (pow eps 2) (pow x 2)))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (* (pow eps 2) x))>
#<alt (* 1/2 (pow eps 2))>
#<alt (* 1/2 (pow eps 2))>
#<alt (* 1/2 (pow eps 2))>
#<alt (* 1/2 (pow eps 2))>
#<alt (* 1/2 (pow eps 2))>
#<alt (* 1/2 (pow eps 2))>
#<alt (* 1/2 (pow eps 2))>
#<alt (* 1/2 (pow eps 2))>
#<alt (* 1/2 (pow eps 2))>
#<alt (* 1/2 (pow eps 2))>
#<alt (* 1/2 (pow eps 2))>
#<alt (* 1/2 (pow eps 2))>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt (* 1/2 eps)>
#<alt 1>
#<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 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 (* 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 (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt 1/2>
#<alt (+ 1/2 (* -1/2 x))>
#<alt (+ 1/2 (* x (- (* 1/4 x) 1/2)))>
#<alt (+ 1/2 (* x (- (* x (+ 1/4 (* -1/12 x))) 1/2)))>
#<alt (* 1/2 (exp (neg x)))>
#<alt (* 1/2 (exp (neg x)))>
#<alt (* 1/2 (exp (neg x)))>
#<alt (* 1/2 (exp (neg x)))>
#<alt (* 1/2 (exp (* -1 x)))>
#<alt (* 1/2 (exp (* -1 x)))>
#<alt (* 1/2 (exp (* -1 x)))>
#<alt (* 1/2 (exp (* -1 x)))>
#<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>
#<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)>
Calls

72 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(* eps (* eps (* x 1/2)))
0.0ms
x
@0
(* eps (* eps (* x 1/2)))
0.0ms
x
@0
(* eps (* x 1/2))
0.0ms
x
@-inf
(* 1/2 (* (+ (* x (+ (* x (+ (* x -1/6) 1/2)) -1)) 1) (+ (+ x 2) x)))
0.0ms
eps
@0
(* eps (* x 1/2))

rewrite101.0ms (0.6%)

Memory
-23.2MiB live, 133.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
988×*-lowering-*.f32
988×*-lowering-*.f64
986×accelerator-lowering-fma.f32
986×accelerator-lowering-fma.f64
562×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033148
1196146
01797128
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
19 → 392
Calls
Call 1
Inputs
(+ (* x (* eps (* eps (* x 1/2)))) 1)
(* eps (* eps (* x 1/2)))
(* eps (* x 1/2))
(* x 1/2)
(+ (* x (* x (* eps (* eps 1/2)))) 1)
(* x (* eps (* eps 1/2)))
(* eps (* eps 1/2))
(* eps 1/2)
(* 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)
(* (+ 2 (+ x x)) (* 1/2 (exp (neg x))))
(+ 2 (+ x x))
(+ x x)
(* 1/2 (exp (neg x)))
(+ (* x -1/6) 1/2)
(exp (neg x))
(neg x)
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)))
(+.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x))) (fma.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) (*.f64 x eps) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) (*.f64 x eps) #s(literal -1 binary64))))
(fma.f64 x (*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (*.f64 (*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(fma.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) (*.f64 x eps) #s(literal 1 binary64))
(fma.f64 (*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/2 binary64)))) x #s(literal 1 binary64))
(fma.f64 (*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) #s(literal 1 binary64))
(fma.f64 (*.f64 eps (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (*.f64 eps (*.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 eps (*.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x eps) (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 x eps) (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x (*.f64 x eps)) (*.f64 eps #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x x) eps) (*.f64 eps #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 eps #s(literal 1/2 binary64))) eps #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x eps) eps) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x (*.f64 eps (*.f64 x #s(literal 1/2 binary64)))) eps #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))) eps #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)))) (fma.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) (*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) (*.f64 x eps) #s(literal -1 binary64)) (fma.f64 (*.f64 x eps) (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x))) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) (*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x))) #s(literal 1 binary64)) (fma.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)))))
(/.f64 (fma.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) (*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)))))
(/.f64 (fma.f64 (*.f64 x eps) (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x))) #s(literal -1 binary64)) (fma.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) (*.f64 x eps) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) (*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x eps) (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x))) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) (*.f64 x eps) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)))) (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x))))
(*.f64 (fma.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) (*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x))))))
(*.f64 (fma.f64 (*.f64 x eps) (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) (*.f64 x eps) #s(literal -1 binary64))))
(*.f64 x (*.f64 eps (*.f64 eps #s(literal 1/2 binary64))))
(*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 eps eps))
(*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) eps)
(*.f64 (*.f64 eps #s(literal 1/2 binary64)) (*.f64 x eps))
(*.f64 (*.f64 eps (*.f64 eps #s(literal 1/2 binary64))) x)
(*.f64 (*.f64 x eps) (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 (*.f64 eps eps) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 x (*.f64 eps eps)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 x eps) eps) #s(literal 1/2 binary64))
(*.f64 (*.f64 eps (*.f64 x eps)) #s(literal 1/2 binary64))
(*.f64 (*.f64 (*.f64 eps eps) x) #s(literal 1/2 binary64))
(*.f64 x (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 eps (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 x eps))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) eps)
(*.f64 (*.f64 eps #s(literal 1/2 binary64)) x)
(*.f64 (*.f64 x eps) #s(literal 1/2 binary64))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)))
(+.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x))) (fma.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) (*.f64 x eps) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) (*.f64 x eps) #s(literal -1 binary64))))
(fma.f64 x (*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (*.f64 (*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x) #s(literal 1 binary64))
(fma.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) (*.f64 x eps) #s(literal 1 binary64))
(fma.f64 (*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/2 binary64)))) x #s(literal 1 binary64))
(fma.f64 (*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/2 binary64)))) (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) #s(literal 1 binary64))
(fma.f64 (*.f64 eps (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (*.f64 eps (*.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 eps (*.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x eps) (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 x eps) (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 eps eps) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x (*.f64 x eps)) (*.f64 eps #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x x) eps) (*.f64 eps #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 eps #s(literal 1/2 binary64))) eps #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x x) (*.f64 eps eps)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 x (*.f64 eps eps)) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x eps) eps) (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x (*.f64 eps (*.f64 x #s(literal 1/2 binary64)))) eps #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))) eps #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)))) (fma.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) (*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) (*.f64 x eps) #s(literal -1 binary64)) (fma.f64 (*.f64 x eps) (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x))) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) (*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x))) #s(literal 1 binary64)) (fma.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)))))
(/.f64 (fma.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) (*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)))))
(/.f64 (fma.f64 (*.f64 x eps) (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x))) #s(literal -1 binary64)) (fma.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) (*.f64 x eps) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) (*.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x))) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x)) (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x))))))
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(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal 1/36 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/6 binary64))))
(*.f64 (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 (*.f64 x x) #s(literal 1/36 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal -1/12 binary64)))))
(*.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))))
(exp.f64 (neg.f64 x))
(/.f64 #s(literal 1 binary64) (exp.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (exp.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 x)))
(pow.f64 (exp.f64 x) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) x)
(*.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 x)))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(neg.f64 x)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)

simplify415.0ms (2.6%)

Memory
30.2MiB live, 504.8MiB allocated
Algorithm
1×egg-herbie
Rules
9 756×accelerator-lowering-fma.f32
9 756×accelerator-lowering-fma.f64
3 818×*-lowering-*.f32
3 818×*-lowering-*.f64
2 636×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02021919
15501904
214051876
336651850
082491735
Stop Event
1×iter limit
1×node limit
Counts
288 → 288
Calls
Call 1
Inputs
1
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
1
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 (* eps x))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
1
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
1
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(* 1/2 (* (pow eps 2) (pow x 2)))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (* (pow eps 2) x))
(* 1/2 (pow eps 2))
(* 1/2 (pow eps 2))
(* 1/2 (pow eps 2))
(* 1/2 (pow eps 2))
(* 1/2 (pow eps 2))
(* 1/2 (pow eps 2))
(* 1/2 (pow eps 2))
(* 1/2 (pow eps 2))
(* 1/2 (pow eps 2))
(* 1/2 (pow eps 2))
(* 1/2 (pow eps 2))
(* 1/2 (pow eps 2))
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
(* 1/2 eps)
1
(+ 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))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/3 x) 1/2)))
(+ 1 (* (pow x 2) (- (* x (+ 1/3 (* -1/8 x))) 1/2)))
(* x (exp (neg x)))
(* x (+ (exp (neg x)) (/ (exp (neg x)) x)))
(* x (+ (exp (neg x)) (/ (exp (neg x)) x)))
(* x (+ (exp (neg x)) (/ (exp (neg x)) x)))
(* x (exp (* -1 x)))
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))
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))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
1/2
(+ 1/2 (* -1/2 x))
(+ 1/2 (* x (- (* 1/4 x) 1/2)))
(+ 1/2 (* x (- (* x (+ 1/4 (* -1/12 x))) 1/2)))
(* 1/2 (exp (neg x)))
(* 1/2 (exp (neg x)))
(* 1/2 (exp (neg x)))
(* 1/2 (exp (neg x)))
(* 1/2 (exp (* -1 x)))
(* 1/2 (exp (* -1 x)))
(* 1/2 (exp (* -1 x)))
(* 1/2 (exp (* -1 x)))
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
(+ 1 (* -1 x))
(+ 1 (* x (- (* 1/2 x) 1)))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 1)))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (neg x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(exp (* -1 x))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(fma.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(fma.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(fma.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(fma.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(fma.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(fma.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(fma.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(fma.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(* (pow x 2) (+ (* 1/2 (pow eps 2)) (/ 1 (pow x 2))))
(fma.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(fma.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(fma.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (* 1/2 (* (pow eps 2) (pow x 2))))
(fma.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(fma.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(fma.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(fma.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(* 1/2 (* (pow eps 2) (pow x 2)))
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(fma.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(fma.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(* (pow eps 2) (+ (* 1/2 (pow x 2)) (/ 1 (pow eps 2))))
(fma.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) x))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) x))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) x))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) x))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) x))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) x))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) x))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) x))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) x))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) x))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) x))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) x))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) x))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) x))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) x))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) x))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) x))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) x))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) x))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) x))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) x))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) x))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) x))
(* 1/2 (* (pow eps 2) x))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 eps eps) x))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x))
(* 1/2 (* eps x))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps x))
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(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) x))
(* -1 (* x (+ (* -1 (exp (* -1 x))) (* -1 (/ (exp (* -1 x)) x)))))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) x))
2
#s(literal 2 binary64)
(+ 2 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(+ 2 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(+ 2 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/2 x))
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* 1/4 x) 1/2)))
(fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(+ 1/2 (* x (- (* x (+ 1/4 (* -1/12 x))) 1/2)))
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(* 1/2 (exp (neg x)))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x)))
(* 1/2 (exp (neg x)))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x)))
(* 1/2 (exp (neg x)))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x)))
(* 1/2 (exp (neg x)))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x)))
(* 1/2 (exp (* -1 x)))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x)))
(* 1/2 (exp (* -1 x)))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x)))
(* 1/2 (exp (* -1 x)))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x)))
(* 1/2 (exp (* -1 x)))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x)))
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))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* x (- (* 1/2 (/ 1 x)) 1/6))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* -1/6 x)
(*.f64 x #s(literal -1/6 binary64))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
(* -1 (* x (- 1/6 (* 1/2 (/ 1 x)))))
(fma.f64 x #s(literal -1/6 binary64) #s(literal 1/2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- (* 1/2 x) 1)))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1/2 (* -1/6 x))) 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))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (neg x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(exp (* -1 x))
(exp.f64 (neg.f64 x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)

eval285.0ms (1.8%)

Memory
-11.5MiB live, 139.8MiB allocated
Compiler

Compiled 12 547 to 1 203 computations (90.4% saved)

prune108.0ms (0.7%)

Memory
3.6MiB live, 199.4MiB allocated
Pruning

24 alts after pruning (21 fresh and 3 done)

PrunedKeptTotal
New66911680
Fresh61016
Picked325
Done112
Total67924703
Accuracy
100.0%
Counts
703 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.2%
(fma.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1/2 binary64) #s(literal 1 binary64))
70.2%
(fma.f64 (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))) eps #s(literal 1 binary64))
35.5%
(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))
35.5%
(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))
49.3%
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
56.5%
(fma.f64 x (fma.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps) eps (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
55.2%
(fma.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
33.5%
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 1/8 binary64) #s(literal -1/8 binary64)) x) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/4 binary64)))) #s(literal 1 binary64))
45.3%
(fma.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal -1/4 binary64)) x) (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) #s(literal 1/2 binary64))) #s(literal 1 binary64))
✓74.2%
(fma.f64 x (*.f64 x (*.f64 eps (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 1 binary64))
35.4%
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
39.6%
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))) #s(literal 1/2 binary64)))))
42.7%
(/.f64 (fma.f64 (*.f64 x eps) (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x))) #s(literal -1 binary64)) (fma.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) (*.f64 x eps) #s(literal -1 binary64)))
39.6%
(/.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)) #s(literal 1 binary64))) #s(literal 2 binary64))
51.9%
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x x))) (exp.f64 x))
49.3%
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
36.2%
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 1/2 binary64))
45.7%
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
51.9%
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) x))
39.6%
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
35.3%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 x (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 #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))))
39.3%
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #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)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))) #s(literal -1 binary64)))
✓36.5%
#s(literal 1 binary64)
✓17.9%
#s(literal 0 binary64)
Compiler

Compiled 1 417 to 480 computations (66.1% saved)

regimes70.0ms (0.4%)

Memory
11.3MiB live, 106.0MiB allocated
Counts
49 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 0 binary64) eps)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.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))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(fma.f64 x (*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (*.f64 eps (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))) eps #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 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 (*.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))
(*.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 x (fma.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps) eps (*.f64 x #s(literal -1/2 binary64))) #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)))
(fma.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal -1/4 binary64)) x) (fma.f64 #s(literal 1/2 binary64) (*.f64 eps 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) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))) (*.f64 #s(literal 1/2 binary64) x) #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 (fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps (fma.f64 eps eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 x eps) (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x))) #s(literal -1 binary64)) (fma.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) (*.f64 x eps) #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))) #s(literal -1 binary64)) (fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)))
(fma.f64 (fma.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps)) (+.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) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 x (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 #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))))
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 1/8 binary64) #s(literal -1/8 binary64)) x) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/4 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 (fma.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) eps (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) x))
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 1 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) (+.f64 x x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) (exp.f64 x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x x))) (exp.f64 x))
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (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) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) 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 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))) (fma.f64 eps (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) eps) eps) (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 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 (fma.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) eps (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (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) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #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)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #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)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))) #s(literal 1/2 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)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))) #s(literal 1/2 binary64)))))
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) (exp.f64 x)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))) #s(literal 1/2 binary64)))))
Calls

4 calls:

22.0ms
(/.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))
20.0ms
eps
14.0ms
x
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
92.4%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)

regimes40.0ms (0.2%)

Memory
4.4MiB live, 81.0MiB allocated
Counts
48 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 0 binary64) eps)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.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))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(fma.f64 x (*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (*.f64 eps (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))) eps #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 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 (*.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))
(*.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 x (fma.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps) eps (*.f64 x #s(literal -1/2 binary64))) #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)))
(fma.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal -1/4 binary64)) x) (fma.f64 #s(literal 1/2 binary64) (*.f64 eps 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) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))) (*.f64 #s(literal 1/2 binary64) x) #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 (fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps (fma.f64 eps eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 x eps) (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x))) #s(literal -1 binary64)) (fma.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) (*.f64 x eps) #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))) #s(literal -1 binary64)) (fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)))
(fma.f64 (fma.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps)) (+.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) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 x (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 #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))))
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 1/8 binary64) #s(literal -1/8 binary64)) x) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/4 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 (fma.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) eps (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) x))
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 1 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) (+.f64 x x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) (exp.f64 x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x x))) (exp.f64 x))
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (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) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) 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 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))) (fma.f64 eps (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) eps) eps) (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 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 (fma.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) eps (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (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) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #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)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #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)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))) #s(literal 1/2 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)))
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) (exp.f64 x)))
(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)))
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))
12.0ms
(-.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)

regimes41.0ms (0.3%)

Memory
-28.2MiB live, 90.9MiB allocated
Counts
47 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 0 binary64) eps)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.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))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(fma.f64 x (*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (*.f64 eps (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))) eps #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 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 (*.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))
(*.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 x (fma.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps) eps (*.f64 x #s(literal -1/2 binary64))) #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)))
(fma.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal -1/4 binary64)) x) (fma.f64 #s(literal 1/2 binary64) (*.f64 eps 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) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))) (*.f64 #s(literal 1/2 binary64) x) #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 (fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps (fma.f64 eps eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 x eps) (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x))) #s(literal -1 binary64)) (fma.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) (*.f64 x eps) #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))) #s(literal -1 binary64)) (fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)))
(fma.f64 (fma.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps)) (+.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) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 x (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 #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))))
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 1/8 binary64) #s(literal -1/8 binary64)) x) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/4 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 (fma.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) eps (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) x))
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 1 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) (+.f64 x x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) (exp.f64 x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x x))) (exp.f64 x))
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (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) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) 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 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))) (fma.f64 eps (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) eps) eps) (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 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 (fma.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) eps (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (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) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #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)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (fma.f64 #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)) (exp.f64 (*.f64 x (+.f64 eps #s(literal -1 binary64)))))))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps))) #s(literal 1/2 binary64)))))
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) (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 (-.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))
Calls

3 calls:

14.0ms
eps
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))
12.0ms
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) (exp.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) eps) x)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x)))))
Results
AccuracySegmentsBranch
99.9%2eps
99.9%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))
99.9%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)

regimes36.0ms (0.2%)

Memory
1.3MiB live, 78.8MiB allocated
Counts
44 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 0 binary64) eps)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.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))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(fma.f64 x (*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (*.f64 eps (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))) eps #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 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 (*.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))
(*.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 x (fma.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps) eps (*.f64 x #s(literal -1/2 binary64))) #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)))
(fma.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal -1/4 binary64)) x) (fma.f64 #s(literal 1/2 binary64) (*.f64 eps 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) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))) (*.f64 #s(literal 1/2 binary64) x) #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 (fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps (fma.f64 eps eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 x eps) (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x))) #s(literal -1 binary64)) (fma.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) (*.f64 x eps) #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))) #s(literal -1 binary64)) (fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)))
(fma.f64 (fma.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps)) (+.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) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 x (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 #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))))
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 1/8 binary64) #s(literal -1/8 binary64)) x) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/4 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 (fma.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) eps (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) x))
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 1 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) (+.f64 x x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) (exp.f64 x)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x x))) (exp.f64 x))
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (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) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) 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 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 eps eps)) (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64))) (fma.f64 eps (+.f64 #s(literal -1 binary64) eps) #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) eps) eps) (+.f64 (-.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 eps #s(literal 1 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 (fma.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) eps (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (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) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) eps)) #s(literal 1 binary64)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) eps) #s(literal 1 binary64)) (exp.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) eps) x))))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (+.f64 #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)) #s(literal 1 binary64))) #s(literal 2 binary64))
Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) (exp.f64 x)))
(fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) #s(literal 1 binary64))
Calls

3 calls:

13.0ms
eps
11.0ms
(/.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))
10.0ms
(-.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
92.5%3eps
94.5%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))
94.5%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)

regimes21.0ms (0.1%)

Memory
8.6MiB live, 50.1MiB allocated
Counts
37 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 0 binary64) eps)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.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))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(fma.f64 x (*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (*.f64 eps (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))) eps #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 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 (*.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))
(*.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 x (fma.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps) eps (*.f64 x #s(literal -1/2 binary64))) #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)))
(fma.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal -1/4 binary64)) x) (fma.f64 #s(literal 1/2 binary64) (*.f64 eps 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) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))) (*.f64 #s(literal 1/2 binary64) x) #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 (fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps (fma.f64 eps eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 x eps) (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x))) #s(literal -1 binary64)) (fma.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) (*.f64 x eps) #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))) #s(literal -1 binary64)) (fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)))
(fma.f64 (fma.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps)) (+.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) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 x (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 #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))))
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 1/8 binary64) #s(literal -1/8 binary64)) x) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/4 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 (fma.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) eps (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) x))
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 #s(literal -1 binary64) eps) (+.f64 (+.f64 #s(literal -1 binary64) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps)) (*.f64 (+.f64 (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (-.f64 #s(literal -1 binary64) eps)) (-.f64 #s(literal -1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 eps #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) eps)) (/.f64 #s(literal -1 binary64) eps)))) #s(literal 1 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) (+.f64 x x)) (*.f64 #s(literal 1/2 binary64) (exp.f64 (neg.f64 x))))
Outputs
(*.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) x))
(fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) #s(literal 1 binary64))
Calls

2 calls:

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))
8.0ms
(-.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
94.5%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))
94.5%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 60 to 36 computations (40% saved)

regimes39.0ms (0.2%)

Memory
2.8MiB live, 79.3MiB allocated
Counts
33 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 0 binary64) eps)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.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))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(fma.f64 x (*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (*.f64 eps (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))) eps #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1/2 binary64) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) (fma.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(fma.f64 x (*.f64 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 (*.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))
(*.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 x (fma.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) eps) eps) eps (*.f64 x #s(literal -1/2 binary64))) #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)))
(fma.f64 x (fma.f64 (*.f64 eps eps) (fma.f64 eps (+.f64 eps #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64))) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (/.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal -1/4 binary64)) x) (fma.f64 #s(literal 1/2 binary64) (*.f64 eps 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) eps) (/.f64 (+.f64 #s(literal -1 binary64) eps) eps))) (*.f64 #s(literal 1/2 binary64) x) #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 (fma.f64 (fma.f64 eps eps #s(literal -1 binary64)) eps (fma.f64 eps eps #s(literal -1 binary64))) (*.f64 (+.f64 eps #s(literal 1 binary64)) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(/.f64 (fma.f64 (*.f64 x eps) (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) x))) #s(literal -1 binary64)) (fma.f64 (*.f64 eps (*.f64 x #s(literal 1/2 binary64))) (*.f64 x eps) #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x (*.f64 x (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1/2 binary64))))) #s(literal -1 binary64)) (fma.f64 (fma.f64 eps (*.f64 eps #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal -1 binary64)))
(fma.f64 (fma.f64 (/.f64 (fma.f64 eps (*.f64 eps eps) #s(literal 1 binary64)) (-.f64 (fma.f64 eps eps #s(literal 1 binary64)) eps)) (+.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) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 x (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 #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))))
(fma.f64 x (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 eps eps) (*.f64 eps (*.f64 eps (*.f64 eps eps)))) #s(literal 1/8 binary64) #s(literal -1/8 binary64)) x) (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 eps (*.f64 eps (*.f64 eps eps))) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps eps) #s(literal -1/4 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 (fma.f64 (fma.f64 eps (*.f64 eps eps) #s(literal -1 binary64)) eps (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)) (+.f64 #s(literal -1 binary64) eps))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 eps eps eps)) eps))) (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
Outputs
(fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
Calls

4 calls:

11.0ms
eps
10.0ms
x
9.0ms
(/.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))
8.0ms
(-.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
77.9%3eps
79.8%2x
78.4%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))
78.4%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)))))
Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes5.0ms (0%)

Memory
9.4MiB live, 9.4MiB allocated
Counts
14 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 0 binary64) eps)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.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))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(fma.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(fma.f64 x (*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 x (*.f64 x (*.f64 eps (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x eps) (*.f64 x #s(literal 1/2 binary64))) eps #s(literal 1 binary64))
(fma.f64 (*.f64 (*.f64 x eps) (*.f64 x eps)) #s(literal 1/2 binary64) #s(literal 1 binary64))
Outputs
(fma.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
Calls

1 calls:

5.0ms
x
Results
AccuracySegmentsBranch
79.4%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes190.0ms (1.2%)

Memory
-13.9MiB live, 23.5MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 0 binary64) eps)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.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))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
Outputs
#s(literal 1 binary64)
(*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))
Calls

4 calls:

179.0ms
(/.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
eps
3.0ms
x
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
66.1%3eps
74.0%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))
74.0%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)))))
71.5%3x
Compiler

Compiled 66 to 40 computations (39.4% saved)

regimes6.0ms (0%)

Memory
10.3MiB live, 10.3MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 0 binary64) eps)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.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))
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
Outputs
#s(literal 1 binary64)
(*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
Calls

2 calls:

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)))))
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))
Results
AccuracySegmentsBranch
70.1%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))
70.1%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 60 to 36 computations (40% saved)

regimes11.0ms (0.1%)

Memory
20.1MiB live, 20.1MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 0 binary64) eps)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.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))
Outputs
#s(literal 1 binary64)
#s(literal 0 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:

3.0ms
eps
3.0ms
x
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)))))
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))
Results
AccuracySegmentsBranch
50.9%2eps
56.4%3x
49.3%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))
49.3%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)

regimes28.0ms (0.2%)

Memory
-34.3MiB live, 6.0MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(literal 0 binary64)
#s(literal 1 binary64)
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) #s(literal 1/2 binary64))
(/.f64 #s(literal 0 binary64) eps)
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (+.f64 (+.f64 x #s(literal 2 binary64)) x)))
Outputs
#s(literal 1 binary64)
#s(literal 0 binary64)
Calls

1 calls:

27.0ms
x
Results
AccuracySegmentsBranch
51.8%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory
11.0MiB live, 11.0MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

4 calls:

1.0ms
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
17.9%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))
17.9%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)))))
17.9%1eps
17.9%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
2.0
2.0000000000000084
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB 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
1.5MiB live, 1.5MiB 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
1.0MiB live, 1.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.0
2.0000000000000084
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.0
2.0000000000000084
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch42.0ms (0.3%)

Memory
3.1MiB live, 77.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
37.0ms
3.7233525295667283e-16
9.33687424415883e-6
Samples
19.0ms55×1valid
13.0ms105×0valid
Compiler

Compiled 294 to 204 computations (30.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-exp: 6.0ms (22.3% of total)
ival-add: 6.0ms (22.3% of total)
ival-mult: 5.0ms (18.6% of total)
ival-sub: 3.0ms (11.2% of total)
ival-div: 3.0ms (11.2% of total)
adjust: 2.0ms (7.4% of total)
ival-neg: 2.0ms (7.4% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch51.0ms (0.3%)

Memory
5.6MiB live, 84.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
46.0ms
3.7233525295667283e-16
9.33687424415883e-6
Samples
28.0ms62×1valid
13.0ms98×0valid
Compiler

Compiled 284 to 194 computations (31.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-exp: 16.0ms (47.2% of total)
ival-mult: 5.0ms (14.7% of total)
ival-sub: 3.0ms (8.8% of total)
ival-div: 3.0ms (8.8% of total)
adjust: 2.0ms (5.9% of total)
ival-neg: 2.0ms (5.9% of total)
ival-add: 2.0ms (5.9% 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
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
7.429577748523944e+299
+inf
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
7.429577748523944e+299
+inf
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch63.0ms (0.4%)

Memory
23.9MiB live, 133.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×predicate-same
1×narrow-enough
Steps
TimeLeftRight
13.0ms
1.536947539440466e+159
1.9374629962826627e+160
44.0ms
0.1730026415820732
4351230.943798006
Samples
25.0ms171×0valid
11.0ms38×1valid
11.0ms15×2valid
1.0ms1×5exit
Compiler

Compiled 186 to 161 computations (13.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 13.0ms (34.3% of total)
ival-exp: 8.0ms (21.1% of total)
ival-sub: 4.0ms (10.6% of total)
ival-div: 4.0ms (10.6% of total)
adjust: 3.0ms (7.9% of total)
ival-add: 3.0ms (7.9% of total)
ival-neg: 2.0ms (5.3% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch47.0ms (0.3%)

Memory
-22.8MiB live, 101.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
43.0ms
0.1730026415820732
4351230.943798006
Samples
15.0ms45×1valid
9.0ms89×0valid
4.0ms8×2valid
1.0ms2×3valid
Compiler

Compiled 106 to 96 computations (9.4% saved)

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

simplify74.0ms (0.5%)

Memory
-7.0MiB live, 76.0MiB allocated
Algorithm
1×egg-herbie
Rules
288×distribute-lft-neg-in_binary64
154×neg-mul-1_binary64
146×neg-sub0_binary64
110×sub-neg_binary64
108×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
096462
1150461
2194445
3246445
4299445
5412445
6526445
7640445
8737445
9811445
10853445
11877445
12891445
13894445
Stop Event
1×saturated
Calls
Call 1
Inputs
(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 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) (exp.f64 x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 eps #s(literal 1 binary64)) 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 (+.f64 #s(literal 2 binary64) (+.f64 x x)) (exp.f64 x))) (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))))
(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 (+.f64 #s(literal 2 binary64) (+.f64 x x)) (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 (-.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)))
(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 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) (exp.f64 x))) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) #s(literal 1 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 2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 1357680363825023/147573952589676412928 binary64)) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(if (<=.f64 x #s(literal 1357680363825023/147573952589676412928 binary64)) (fma.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(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 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(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 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(if (<=.f64 x #s(literal 550 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 1599999999999999924597367258419376127959138924509729330865366203996575235827292593103931184054664172422196960983918918735759412985084835232170196603642279100416 binary64)) #s(literal 0 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 550 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
Outputs
(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 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) (exp.f64 x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 eps #s(literal 1 binary64)) eps) (*.f64 (exp.f64 (-.f64 (*.f64 x eps) x)) (/.f64 (+.f64 eps #s(literal 1 binary64)) 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 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) (exp.f64 x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 (exp.f64 (*.f64 x (-.f64 #s(literal -1 binary64) eps))) (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) eps) eps) (exp.f64 (-.f64 (*.f64 eps x) x)))))))))
(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 (+.f64 #s(literal 2 binary64) (+.f64 x x)) (exp.f64 x))) (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))))
(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 (+.f64 #s(literal 2 binary64) (+.f64 x x)) (exp.f64 x))) (exp.f64 (neg.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)))))))))))
(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 (+.f64 #s(literal 2 binary64) (+.f64 x x)) (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 (-.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)))
(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 (+.f64 #s(literal 2 binary64) (+.f64 x x)) (exp.f64 x))) (/.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 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 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) (exp.f64 x))) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) #s(literal 1 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 2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 x x)) (exp.f64 x))) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) #s(literal 1 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 2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) #s(literal 1 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 2 binary64)) (*.f64 (exp.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 1357680363825023/147573952589676412928 binary64)) (fma.f64 x (*.f64 x (fma.f64 #s(literal 1/2 binary64) (*.f64 eps eps) #s(literal -1/2 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(if (<=.f64 x #s(literal 1357680363825023/147573952589676412928 binary64)) (fma.f64 x (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(if (<=.f64 x #s(literal 1357680363825023/147573952589676412928 binary64)) (fma.f64 x (*.f64 eps (*.f64 eps (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(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 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(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 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 eps eps) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(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 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(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 1000000000000000052504760255204420248704468581108159154915854115511802457988908195786371375080447864043704443832883878176942523235360430575644792184786706982848387200926575803737830233794788090059368953234970799945081119038967640880074652742780142494579258788820056842838115669472196386865459400540160 binary64)) #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(if (<=.f64 x #s(literal 550 binary64)) #s(literal 1 binary64) (if (<=.f64 x #s(literal 1599999999999999924597367258419376127959138924509729330865366203996575235827292593103931184054664172422196960983918918735759412985084835232170196603642279100416 binary64)) #s(literal 0 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 550 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)

soundness1.4s (9%)

Memory
-32.8MiB live, 1 386.5MiB allocated
Rules
13 600×accelerator-lowering-fma.f32
13 600×accelerator-lowering-fma.f64
13 388×accelerator-lowering-fma.f32
13 388×accelerator-lowering-fma.f64
11 728×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073210095
124848754
085158328
072311725
1244810257
093109744
02802821
19002444
230662190
082562065
02021919
15501904
214051876
336651850
082491735
049361
1341356
24078355
08243342
065478
1492445
26201444
08008420
01981
111677
291774
0891068
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 759 to 315 computations (58.5% saved)

preprocess139.0ms (0.9%)

Memory
27.1MiB live, 179.9MiB allocated
Remove

(abs eps)

Compiler

Compiled 1 098 to 286 computations (74% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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