Asymptote A

Time bar (total: 6.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
75%75%25%0%0%0%0%4
87.5%87.5%12.5%0%0%0%0%5
93.8%93.7%6.2%0%0%0%0%6
96.9%96.8%3.1%0%0%0%0%7
98.4%98.4%1.6%0%0%0%0%8
99.2%99.2%0.8%0%0%0%0%9
99.6%99.6%0.4%0%0%0%0%10
99.8%99.8%0.2%0%0%0%0%11
99.9%99.9%0.1%0%0%0%0%12
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.0s (17.1%)

Memory
39.6MiB live, 1 563.6MiB allocated
Samples
493.0ms3 826×1valid
224.0ms4 430×0valid
Precisions
Click to see histograms. Total time spent on operations: 514.0ms
ival-div: 207.0ms (40.3% of total)
ival-sub: 132.0ms (25.7% of total)
adjust: 94.0ms (18.3% of total)
ival-add: 68.0ms (13.2% of total)
ival-true: 6.0ms (1.2% of total)
exact: 5.0ms (1% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain162.0ms (2.7%)

Memory
8.5MiB live, 189.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
530-0-(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
00-0-(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
00-0-(-.f64 x #s(literal 1 binary64))
00-0-#s(literal 1 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))cancellation530
Confusion
Predicted +Predicted -
+530
-0203
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+5300
-00203
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0203
153
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
75.0ms238×1valid
14.0ms274×0valid
Compiler

Compiled 74 to 25 computations (66.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-div: 59.0ms (78.8% of total)
ival-sub: 7.0ms (9.3% of total)
adjust: 5.0ms (6.7% of total)
ival-add: 4.0ms (5.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess35.0ms (0.6%)

Memory
-6.5MiB live, 28.5MiB allocated
Algorithm
egg-herbie
Rules
160×lower-fma.f64
160×lower-fma.f32
96×lower-*.f64
96×lower-*.f32
72×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0927
12125
25222
310622
419022
525822
627322
727522
0711
01211
12011
22711
34011
46111
58611
613111
717411
824311
928011
1030011
1130011
030011
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))))
Symmetry

(abs x)

Compiler

Compiled 12 to 7 computations (41.7% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.8%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify11.0ms (0.2%)

Memory
13.5MiB live, 13.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Rules
160×lower-fma.f64
160×lower-fma.f32
96×lower-*.f64
96×lower-*.f32
72×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0729
01229
12029
22729
34029
46129
58629
613129
717429
824329
928029
1030029
1130029
030029
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
x
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
x
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))

localize104.0ms (1.7%)

Memory
0.1MiB live, 38.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 x #s(literal 1 binary64))
accuracy0.00390625
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy0.00390625
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
accuracy11.678100487648788
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Samples
87.0ms119×1valid
7.0ms137×0valid
Compiler

Compiled 31 to 9 computations (71% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 5.0ms (39% of total)
ival-sub: 3.0ms (23.4% of total)
adjust: 2.0ms (15.6% of total)
ival-add: 2.0ms (15.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series77.0ms (1.3%)

Memory
-40.5MiB live, 4.3MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
Outputs
#s(alt 2 (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 2 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (taylor 0 x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 x)) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- x 1))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 x) 1) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* -1 x) 1)) 1) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* x (- (* x (- (* -1 x) 1)) 1)) 1) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -2 (pow x 2)) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) (taylor inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (/ 1 x)) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ 1 x)) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -2 (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) (taylor -inf x) (#s(alt (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (patch (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (/ 1 x) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (+.f64 x #s(literal 1 binary64)) (patch (+.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ 1 x)) x) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ 1 (+ x 1)) (+ x 1) (/ 1 (- x 1)))
0.0ms
x
@0
((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ 1 (+ x 1)) (+ x 1) (/ 1 (- x 1)))
0.0ms
x
@-inf
((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ 1 (+ x 1)) (+ x 1) (/ 1 (- x 1)))

simplify235.0ms (3.8%)

Memory
30.6MiB live, 144.5MiB allocated
Algorithm
egg-herbie
Rules
10 646×lower-fma.f64
10 646×lower-fma.f32
3 680×lower-*.f64
3 680×lower-*.f32
1 938×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080405
1220395
2557373
31750352
45230352
08132343
Stop Event
iter limit
node limit
Counts
48 → 46
Calls
Call 1
Inputs
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
-1
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ 1 x)
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
Outputs
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1 x) 1)) 1)
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -2 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 x)) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x)))) x)
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -2 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 x)) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) x)) x)

rewrite185.0ms (3%)

Memory
-4.2MiB live, 311.9MiB allocated
Rules
10 498×lower-fma.f64
10 498×lower-fma.f32
3 964×lower-*.f64
3 964×lower-*.f32
3 924×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
01224
16624
264424
0903922
Stop Event
iter limit
node limit
iter limit
Counts
4 → 702
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
Outputs
(*.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (neg.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))) (-.f64 x (-.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal -1 binary64)))) (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))) (+.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))) (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (*.f64 (/.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))))) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal -1 binary64)))) (/.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) x))) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (-.f64 x #s(literal -1 binary64)))) (*.f64 (*.f64 (/.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))) (/.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))))) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (*.f64 (/.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (-.f64 (/.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal -1 binary64))))))))
(*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x) #s(literal -1 binary64))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))))) (/.f64 (+.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (*.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
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(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (*.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (*.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x))
(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x))
(fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x))
(fma.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x))
(fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x))
(-.f64 (/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(exp.f64 (neg.f64 (log.f64 (-.f64 x #s(literal 1 binary64)))))
(+.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))))
(+.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))))
(+.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) x))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) x))

eval142.0ms (2.3%)

Memory
-8.4MiB live, 241.4MiB allocated
Compiler

Compiled 21 683 to 1 988 computations (90.8% saved)

prune121.0ms (2%)

Memory
11.9MiB live, 206.7MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New7426748
Fresh000
Picked101
Done000
Total7436749
Accuracy
99.9%
Counts
749 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.7%
(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))
84.7%
(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
84.7%
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
51.6%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
49.3%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
52.1%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
Compiler

Compiled 126 to 74 computations (41.3% saved)

simplify160.0ms (2.6%)

Memory
2.0MiB live, 158.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
cost-diff192
(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
cost-diff384
(-.f64 (-.f64 x #s(literal 1 binary64)) x)
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 #s(literal -2 binary64) (*.f64 x x))
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
cost-diff128
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
cost-diff0
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
cost-diff192
(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
cost-diff384
(-.f64 (-.f64 x #s(literal 1 binary64)) x)
cost-diff704
(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))
Rules
14 620×lower-fma.f32
14 616×lower-fma.f64
2 780×lower-*.f32
2 778×lower-*.f64
2 328×lower--.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
024151
036162
166162
2138110
335295
476395
5261495
6584395
7780495
0827495
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(-.f64 (-.f64 x #s(literal 1 binary64)) x)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
#s(literal -2 binary64)
(*.f64 x x)
x
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(-.f64 (-.f64 x #s(literal 1 binary64)) x)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal -2 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
#s(literal -2 binary64)
(-.f64 (-.f64 x #s(literal 1 binary64)) x)
#s(literal -1 binary64)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (+.f64 x x) x #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 (+.f64 x x) x #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
#s(literal -2 binary64)
(*.f64 x x)
x
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
#s(literal -2 binary64)
(-.f64 (-.f64 x #s(literal 1 binary64)) x)
#s(literal -1 binary64)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)

localize107.0ms (1.7%)

Memory
-9.5MiB live, 121.7MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
accuracy0
(-.f64 x #s(literal 1 binary64))
accuracy0.10324318953124967
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
accuracy29.788385245541566
(-.f64 (-.f64 x #s(literal 1 binary64)) x)
accuracy0
(*.f64 x x)
accuracy0.18136818953124967
(/.f64 #s(literal -2 binary64) (*.f64 x x))
accuracy32.33751640131248
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
accuracy0
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
accuracy0
(*.f64 x x)
accuracy31.007588700456694
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
accuracy30.64263467037218
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
accuracy0
(-.f64 x #s(literal -1 binary64))
accuracy0.00390625
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy0.0703125
(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))
accuracy29.788385245541566
(-.f64 (-.f64 x #s(literal 1 binary64)) x)
Samples
42.0ms131×0valid
37.0ms125×1valid
Compiler

Compiled 141 to 23 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-sub: 29.0ms (46.9% of total)
ival-div: 17.0ms (27.5% of total)
adjust: 6.0ms (9.7% of total)
ival-add: 5.0ms (8.1% of total)
ival-mult: 4.0ms (6.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
-23.7MiB live, 14.4MiB allocated
Counts
13 → 156
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) (patch (/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 x #s(literal 1 binary64)) x) (patch (-.f64 (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())
#s(alt (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (patch (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -2 binary64) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal -1 binary64)) (patch (-.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt 2 (taylor 0 x) (#s(alt (/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) (patch (/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 2 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) (patch (/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) (patch (/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (taylor 0 x) (#s(alt (/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) (patch (/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 (-.f64 x #s(literal 1 binary64)) x) (patch (-.f64 (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 (-.f64 x #s(literal 1 binary64)) x) (patch (-.f64 (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 (-.f64 x #s(literal 1 binary64)) x) (patch (-.f64 (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (-.f64 (-.f64 x #s(literal 1 binary64)) x) (patch (-.f64 (-.f64 x #s(literal 1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt -2 (taylor 0 x) (#s(alt (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (patch (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt -2 (taylor 0 x) (#s(alt (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (patch (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt -2 (taylor 0 x) (#s(alt (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (patch (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt -2 (taylor 0 x) (#s(alt (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (patch (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 2 x)) (taylor 0 x) (#s(alt (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* x (+ 2 (* 2 x)))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))) (taylor 0 x) (#s(alt (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 2 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 2 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 2 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 2 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 2 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 2 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ -2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (patch (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -2 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) (taylor -inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (patch (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -2 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) (taylor -inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt (/ -2 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) (taylor -inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (/ -2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 x x)) (patch (/.f64 #s(literal -2 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal -1 binary64)) (patch (-.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (-.f64 x #s(literal -1 binary64)) (patch (-.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (-.f64 x #s(literal -1 binary64)) (patch (-.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (-.f64 x #s(literal -1 binary64)) (patch (-.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
Calls

3 calls:

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

simplify126.0ms (2.1%)

Memory
8.6MiB live, 125.0MiB allocated
Algorithm
egg-herbie
Rules
10 802×lower-fma.f64
10 802×lower-fma.f32
3 882×lower-*.f64
3 882×lower-*.f32
1 440×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0631154
11831150
24971072
314501032
440881032
08264993
Stop Event
iter limit
node limit
Counts
156 → 152
Calls
Call 1
Inputs
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
-1
-1
-1
-1
-2
-2
-2
-2
2
(+ 2 (* 2 x))
(+ 2 (* x (+ 2 (* 2 x))))
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* 2 (pow x 2)))
(+ 2 (* 2 (pow x 2)))
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
-1
(- x 1)
(- x 1)
(- x 1)
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
-1
-1
-1
-1
-2
-2
-2
-2
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
-1
-1
-1
-1
-2
-2
-2
-2
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
Outputs
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
2
#s(literal 2 binary64)
(+ 2 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* x (+ 2 (* 2 x))))
(fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* 2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* 2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- x 1)
(-.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))
x
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-1
#s(literal -1 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) x)
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x))
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))
(* 2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))
x
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)

rewrite181.0ms (3%)

Memory
24.6MiB live, 258.6MiB allocated
Rules
4 790×lower-/.f32
4 782×lower-/.f64
4 142×lower-*.f32
4 140×lower-*.f64
3 328×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024118
036115
1191113
21732113
08143108
Stop Event
iter limit
node limit
iter limit
Counts
13 → 1 020
Calls
Call 1
Inputs
(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))
(-.f64 (-.f64 x #s(literal 1 binary64)) x)
(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
(*.f64 x x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
Outputs
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 (-.f64 x #s(literal 1 binary64)) x)) (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 (-.f64 x #s(literal 1 binary64)) x) (+.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (neg.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))))
(*.f64 (*.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
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(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))) (+.f64 (/.f64 (+.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))) (+.f64 (/.f64 (+.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))))))
(-.f64 (/.f64 (/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(+.f64 (/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(pow.f64 (/.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (neg.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (neg.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (neg.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 x #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (neg.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (*.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (neg.f64 x)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (neg.f64 x))))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal -1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (fma.f64 (*.f64 x x) x #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(-.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(-.f64 x #s(literal 1 binary64))
(exp.f64 (log.f64 (-.f64 x #s(literal 1 binary64))))
(+.f64 #s(literal -1 binary64) x)
(+.f64 x #s(literal -1 binary64))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 x #s(literal -1 binary64))
(exp.f64 (log1p.f64 x))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))

eval473.0ms (7.7%)

Memory
-0.1MiB live, 346.4MiB allocated
Compiler

Compiled 49 311 to 3 711 computations (92.5% saved)

prune257.0ms (4.2%)

Memory
31.7MiB live, 303.2MiB allocated
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1 68331 686
Fresh101
Picked235
Done000
Total1 68661 692
Accuracy
100.0%
Counts
1 692 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.2%
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64)))
99.8%
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
51.6%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
49.4%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
49.3%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
52.1%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
Compiler

Compiled 40 to 24 computations (40% saved)

simplify187.0ms (3.1%)

Memory
9.6MiB live, 125.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x #s(literal -1 binary64))
cost-diff0
#s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64))
cost-diff0
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64)))
cost-diff0
(fma.f64 x x #s(literal -1 binary64))
cost-diff0
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
cost-diff0
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
cost-diff0
(/.f64 #s(literal -2 binary64) x)
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
cost-diff384
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
Rules
12 946×lower-fma.f32
12 944×lower-fma.f64
2 422×lower-*.f64
2 422×lower-*.f32
2 132×lower--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02293
02993
14993
210269
323169
441669
5101469
6321469
7502569
8665569
9742269
10781969
0803769
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
#s(literal -2 binary64)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64)))
#s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
#s(literal -2 binary64)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64)))
#s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)

localize133.0ms (2.2%)

Memory
-30.1MiB live, 112.5MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 x #s(literal -1 binary64))
accuracy0.0703125
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64)))
accuracy30.92320907100884
#s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64))
accuracy0
(fma.f64 x x #s(literal -1 binary64))
accuracy0
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
accuracy0.10324318953124967
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
accuracy0
(/.f64 #s(literal -2 binary64) x)
accuracy0.15234375
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
accuracy32.33751640131248
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
Samples
97.0ms125×1valid
16.0ms131×0valid
Compiler

Compiled 83 to 22 computations (73.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 100.0ms
ival-div: 36.0ms (36% of total)
ival-sub: 33.0ms (33% of total)
adjust: 24.0ms (24% of total)
ival-add: 4.0ms (4% of total)
ival-mult: 2.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
9.2MiB live, 9.2MiB allocated
Counts
9 → 108
Calls
Call 1
Inputs
#s(alt (/.f64 (/.f64 #s(literal -2 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -2 binary64) x) x) #<representation binary64>) () ())
#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (patch #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (patch #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal -1 binary64)) (patch (-.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())
Outputs
#s(alt (/ -2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal -2 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal -2 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal -2 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (/.f64 #s(literal -2 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 2 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (taylor 0 x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 2 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -2 (taylor 0 x) (#s(alt #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (patch #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt -2 (taylor 0 x) (#s(alt #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (patch #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt -2 (taylor 0 x) (#s(alt #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (patch #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt -2 (taylor 0 x) (#s(alt #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (patch #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 1) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 2 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))) (taylor 0 x) (#s(alt (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2))))))) (taylor 0 x) (#s(alt (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt 2 (taylor 0 x) (#s(alt #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (patch #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 2 x)) (taylor 0 x) (#s(alt #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (patch #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* x (+ 2 (* 2 x)))) (taylor 0 x) (#s(alt #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (patch #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* x (+ 2 (* x (+ 2 (* 2 x)))))) (taylor 0 x) (#s(alt #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (patch #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 x) (#s(alt (-.f64 x #s(literal -1 binary64)) (patch (-.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (-.f64 x #s(literal -1 binary64)) (patch (-.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (-.f64 x #s(literal -1 binary64)) (patch (-.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 x) (taylor 0 x) (#s(alt (-.f64 x #s(literal -1 binary64)) (patch (-.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal -2 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal -2 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal -2 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (/.f64 #s(literal -2 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 (pow x 2)) (taylor inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) (taylor inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) (taylor inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) (taylor inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor inf x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor inf x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor inf x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor inf x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) (taylor inf x) (#s(alt (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -2 (taylor inf x) (#s(alt #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (patch #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt -2 (taylor inf x) (#s(alt #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (patch #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt -2 (taylor inf x) (#s(alt #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (patch #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt -2 (taylor inf x) (#s(alt #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (patch #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -2 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) (taylor inf x) (#s(alt (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor inf x) (#s(alt #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (patch #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) (taylor inf x) (#s(alt #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (patch #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x) (taylor inf x) (#s(alt #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (patch #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x) (taylor inf x) (#s(alt #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (patch #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x #s(literal -1 binary64)) (patch (-.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal -1 binary64)) (patch (-.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal -1 binary64)) (patch (-.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor inf x) (#s(alt (-.f64 x #s(literal -1 binary64)) (patch (-.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -2 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -2 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -2 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -2 binary64) x) x) (patch (/.f64 (/.f64 #s(literal -2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) (taylor -inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (patch #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -2 binary64) x) (patch (/.f64 #s(literal -2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (patch (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt -2 (taylor -inf x) (#s(alt #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (patch #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt -2 (taylor -inf x) (#s(alt #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (patch #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt -2 (taylor -inf x) (#s(alt #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (patch #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt -2 (taylor -inf x) (#s(alt #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (patch #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (/ 1 (pow x 2)))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -1 binary64)) (patch (fma.f64 x x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -2 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -2 x) (taylor -inf x) (#s(alt #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (patch #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) (taylor -inf x) (#s(alt #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (patch #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) (taylor -inf x) (#s(alt #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (patch #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x)) (taylor -inf x) (#s(alt #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (patch #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal -1 binary64)) (patch (-.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (-.f64 x #s(literal -1 binary64)) (patch (-.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (-.f64 x #s(literal -1 binary64)) (patch (-.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (/ 1 x))) (taylor -inf x) (#s(alt (-.f64 x #s(literal -1 binary64)) (patch (-.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
Calls

3 calls:

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

simplify199.0ms (3.3%)

Memory
-22.6MiB live, 165.2MiB allocated
Algorithm
egg-herbie
Rules
14 744×lower-fma.f64
14 744×lower-fma.f32
4 302×lower-*.f64
4 302×lower-*.f32
2 042×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
059774
1166770
2448720
31294696
44017696
08139667
Stop Event
iter limit
node limit
Counts
108 → 106
Calls
Call 1
Inputs
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
-2
-2
-2
-2
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
2
(+ 2 (* 2 x))
(+ 2 (* x (+ 2 (* 2 x))))
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
-2
-2
-2
-2
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
-2
-2
-2
-2
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
Outputs
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #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
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (+ 2 (* 2 x))))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) x) 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 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -2 binary64)))
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -2 binary64)))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x)) x)
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 2 (* 2 (/ 1 x)))) x)
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)))
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) x) 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 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -2 binary64)))
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -2 binary64)))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(* -1 (/ (+ 2 (* 2 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x)) x)
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x))) x))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)))
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)

rewrite200.0ms (3.3%)

Memory
16.0MiB live, 176.3MiB allocated
Rules
7 084×lower-fma.f32
7 082×lower-fma.f64
6 252×lower-/.f32
6 244×lower-/.f64
5 072×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02285
02985
116685
2153185
0930184
Stop Event
iter limit
node limit
iter limit
Counts
9 → 287
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
(/.f64 #s(literal -2 binary64) x)
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
(fma.f64 x x #s(literal -1 binary64))
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64)))
#s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64))
(-.f64 x #s(literal -1 binary64))
Outputs
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) x))
(*.f64 (pow.f64 (/.f64 x #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -2 binary64) x))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 x)) x))
(*.f64 #s(literal 2 binary64) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(pow.f64 (/.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 x))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal 2 binary64) (*.f64 x (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) x))
(/.f64 (/.f64 #s(literal -2 binary64) x) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (*.f64 x x))))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 x (neg.f64 x))))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(neg.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 x x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) x)) #s(literal -1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal 2 binary64) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -2 binary64) x)
(neg.f64 (/.f64 #s(literal 2 binary64) x))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x)))))))
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x)))))
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)))
(*.f64 (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(pow.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))))))
(/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)))))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))))
(neg.f64 (/.f64 (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(neg.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)))) #s(literal -1 binary64)))
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x)))))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))
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(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x))))) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x))))) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x (-.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x))))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (/.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal -1 binary64)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (*.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
(exp.f64 (log1p.f64 x))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))

eval46.0ms (0.8%)

Memory
10.4MiB live, 47.9MiB allocated
Compiler

Compiled 5 489 to 793 computations (85.6% saved)

prune51.0ms (0.8%)

Memory
-28.3MiB live, 58.4MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New3921393
Fresh000
Picked033
Done033
Total3927399
Accuracy
100.0%
Counts
399 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.2%
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64)))
99.8%
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
60.1%
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
51.6%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
49.4%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
49.3%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
52.1%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
Compiler

Compiled 57 to 34 computations (40.4% saved)

simplify231.0ms (3.8%)

Memory
12.4MiB live, 175.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))
cost-diff0
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
cost-diff0
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)))
cost-diff1344
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
Rules
15 306×lower-fma.f32
15 302×lower-fma.f64
3 452×lower-*.f32
3 446×lower-*.f64
2 318×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01474
02174
14666
210757
323240
453940
5244940
6770740
0808939
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)))
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
#s(literal -2 binary64)
(fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(literal -1 binary64)
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)))
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
#s(literal -2 binary64)
(fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(literal -1 binary64)
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)

localize85.0ms (1.4%)

Memory
-7.9MiB live, 70.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.01953125
(fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))
accuracy0.0703125
(*.f64 (*.f64 x x) x)
accuracy0.21725536865729772
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)))
accuracy24.957227694150586
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
Samples
60.0ms120×1valid
11.0ms136×0valid
Compiler

Compiled 75 to 16 computations (78.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-add: 26.0ms (42% of total)
ival-div: 19.0ms (30.7% of total)
ival-mult: 8.0ms (12.9% of total)
ival-sub: 5.0ms (8.1% of total)
adjust: 4.0ms (6.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
8.4MiB live, 8.4MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (patch (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (patch (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (patch #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (patch (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (*.f64 x x) x) (patch (*.f64 (*.f64 x x) x) #<representation binary64>) () ())
Outputs
#s(alt 2 (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (patch (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 2 (* 2 (pow x 2))) (taylor 0 x) (#s(alt (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (patch (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) #<representation binary64>) () ())) ())
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Calls

3 calls:

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

simplify234.0ms (3.8%)

Memory
-1.8MiB live, 145.6MiB allocated
Algorithm
egg-herbie
Rules
23 338×lower-fma.f64
23 338×lower-fma.f32
4 444×lower-*.f64
4 444×lower-*.f32
3 360×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051416
1135416
2370388
3996372
43420372
57614372
08245364
Stop Event
iter limit
node limit
Counts
60 → 60
Calls
Call 1
Inputs
2
(+ 2 (* 2 (pow x 2)))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
2
(+ 2 (* 2 (pow x 4)))
(+ 2 (* (pow x 4) (+ 2 (* 2 (pow x 4)))))
(+ 2 (* (pow x 4) (+ 2 (* (pow x 4) (+ 2 (* 2 (pow x 4)))))))
-2
-2
-2
-2
-1
(- (pow x 4) 1)
(- (pow x 4) 1)
(- (pow x 4) 1)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 (pow x 4))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) 2) (pow x 4))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 8))) (+ 2 (* 2 (/ 1 (pow x 4))))) (pow x 4))
-2
-2
-2
-2
(pow x 4)
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ -2 (pow x 2))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(/ -2 (pow x 4))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4)))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) 2) (pow x 4))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 8))) (+ 2 (* 2 (/ 1 (pow x 4))))) (pow x 4))
-2
-2
-2
-2
(pow x 4)
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
Outputs
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
(*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(+ 2 (* 2 (pow x 4)))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 4) (+ 2 (* 2 (pow x 4)))))
(fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64)) x) (*.f64 (*.f64 (*.f64 x x) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(+ 2 (* (pow x 4) (+ 2 (* (pow x 4) (+ 2 (* 2 (pow x 4)))))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64))) #s(literal 2 binary64))
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-1
#s(literal -1 binary64)
(- (pow x 4) 1)
(fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))
(- (pow x 4) 1)
(fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))
(- (pow x 4) 1)
(fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x x)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))
(/ -2 (pow x 4))
(/.f64 #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4)))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) 2) (pow x 4))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 8))) (+ 2 (* 2 (/ 1 (pow x 4))))) (pow x 4))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))) #s(literal -2 binary64)))
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
(pow x 4)
(*.f64 (*.f64 (*.f64 x x) x) x)
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 x x)) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))
(/ -2 (pow x 4))
(/.f64 #s(literal -2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))
(* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4)))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 4))) 2) (pow x 4))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x))) (*.f64 (*.f64 (*.f64 x x) x) x))
(/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 4)))) (pow x 8))) (+ 2 (* 2 (/ 1 (pow x 4))))) (pow x 4))
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) x) x)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x))) #s(literal -2 binary64)))
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
-2
#s(literal -2 binary64)
(pow x 4)
(*.f64 (*.f64 (*.f64 x x) x) x)
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))
(* (pow x 4) (- 1 (/ 1 (pow x 4))))
(fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)
(pow x 3)
(*.f64 (*.f64 x x) x)

rewrite209.0ms (3.4%)

Memory
24.6MiB live, 147.8MiB allocated
Rules
6 782×lower-fma.f32
6 778×lower-fma.f64
3 844×lower-*.f32
3 838×lower-*.f64
3 530×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01463
02155
110852
292437
0862536
Stop Event
iter limit
node limit
iter limit
Counts
5 → 334
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)))
#s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))
(fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))
(*.f64 (*.f64 x x) x)
Outputs
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1 binary64))) (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal -1 binary64))) (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 (*.f64 x x) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)))))
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 (*.f64 x x) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))))
(*.f64 (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) x) x) (*.f64 (*.f64 x x) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(*.f64 (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(*.f64 (*.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (*.f64 (*.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))))
(*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (-.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (*.f64 x x))))) (*.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 x x) x) x) (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (-.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (*.f64 x x)))))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)))))
(*.f64 (*.f64 (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) (neg.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x)))))
(*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)) #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64)))))
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(+.f64 (*.f64 (*.f64 (*.f64 x x) x) x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 x x) x) x))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 3/4 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 (*.f64 x x) x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 (*.f64 x x) x) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (*.f64 x x) x) #s(literal 1 binary64))
(*.f64 (*.f64 x x) x)
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) x))
(*.f64 x (*.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))

eval97.0ms (1.6%)

Memory
-13.3MiB live, 67.2MiB allocated
Compiler

Compiled 13 779 to 980 computations (92.9% saved)

prune58.0ms (0.9%)

Memory
-0.2MiB live, 76.9MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New3931394
Fresh000
Picked101
Done066
Total3947401
Accuracy
100.0%
Counts
401 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.2%
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64)))
99.8%
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
9.6%
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #s(approx (+ (* (* (* x x) x) x) -1) (*.f64 (*.f64 (*.f64 x x) x) x))) (fma.f64 x x #s(literal 1 binary64)))
51.6%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
49.4%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
49.3%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
52.1%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
Compiler

Compiled 177 to 69 computations (61% saved)

regimes8.0ms (0.1%)

Memory
9.6MiB live, 9.6MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
(/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) #s(approx (+ (* (* (* x x) x) x) -1) (*.f64 (*.f64 (*.f64 x x) x) x))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 (-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 (*.f64 (*.f64 x x) x) x #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
Outputs
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
Calls

2 calls:

4.0ms
x
3.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes4.0ms (0.1%)

Memory
5.6MiB live, 5.6MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
Calls

2 calls:

2.0ms
x
2.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.6%2(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
99.6%2x
Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes4.0ms (0.1%)

Memory
5.5MiB live, 5.5MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64)))
Outputs
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64)))
Calls

2 calls:

2.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
53.2%1x
53.2%1(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes9.0ms (0.1%)

Memory
-34.4MiB live, 4.5MiB allocated
Accuracy

Total -0.4b remaining (-1.3%)

Threshold costs -0.4b (-1.3%)

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

2 calls:

7.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
1.0ms
x
Results
AccuracySegmentsBranch
52.1%1x
52.1%1(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 14 to 8 computations (42.9% saved)

bsearch14.0ms (0.2%)

Memory
14.2MiB live, 14.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
1.0014744042096856e-7
1644.6501525381034
Samples
7.0ms160×0valid
Compiler

Compiled 185 to 111 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (45.5% of total)
ival-sub: 1.0ms (22.8% of total)
ival-add: 1.0ms (22.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify6.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated
Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
1-exp_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02783
13283
23583
33683
43783
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))))
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
Outputs
(/.f64 #s(approx (- (- (- x 1) x) 1) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))))
(/.f64 #s(approx (/ (- (- (- x 1) x) 1) (- x 1)) #s(literal 2 binary64)) (-.f64 x #s(literal -1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

soundness811.0ms (13.3%)

Memory
13.5MiB live, 481.9MiB allocated
Rules
10 802×lower-fma.f64
10 802×lower-fma.f32
10 646×lower-fma.f64
10 646×lower-fma.f32
10 498×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
01224
16624
264424
0903922
0631154
11831150
24971072
314501032
440881032
08264993
080405
1220395
2557373
31750352
45230352
08132343
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 127 to 60 computations (52.8% saved)

preprocess73.0ms (1.2%)

Memory
10.4MiB live, 85.8MiB allocated
Remove

(abs x)

Compiler

Compiled 106 to 52 computations (50.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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