Codec.Picture.Types:toneMapping from JuicyPixels-3.2.6.1

Time bar (total: 6.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze54.0ms (0.8%)

Memory
-25.4MiB live, 55.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
25%25%74.9%0.1%0%0%0%3
37.5%37.5%62.4%0.1%0%0%0%4
56.3%56.2%43.7%0.1%0%0%0%5
65.6%65.6%34.3%0.1%0%0%0%6
76.6%76.5%23.4%0.1%0%0%0%7
82%82%18%0.1%0%0%0%8
87.9%87.8%12.1%0.1%0%0%0%9
90.8%90.7%9.2%0.1%0%0%0%10
93.8%93.8%6.1%0.1%0%0%0%11
95.4%95.3%4.6%0.1%0%0%0%12
Compiler

Compiled 13 to 10 computations (23.1% saved)

sample860.0ms (12.7%)

Memory
32.5MiB live, 939.0MiB allocated
Samples
596.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 359.0ms
ival-div: 157.0ms (43.8% of total)
ival-add: 109.0ms (30.4% of total)
ival-mult: 78.0ms (21.8% of total)
ival-true: 6.0ms (1.7% of total)
exact: 6.0ms (1.7% of total)
ival-assert: 4.0ms (1.1% of total)
Bogosity

explain138.0ms (2%)

Memory
16.9MiB live, 128.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
380-0-(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
00-0-(/.f64 x y)
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
00-0-y
00-0-#s(literal 1 binary64)
00-0-(+.f64 (/.f64 x y) #s(literal 1 binary64))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))o/n380
(/.f64 x y)overflow32
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))overflow70
(+.f64 (/.f64 x y) #s(literal 1 binary64))overflow32
Confusion
Predicted +Predicted -
+380
-0218
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3800
-00218
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0218
138
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
31.0ms512×0valid
Compiler

Compiled 79 to 28 computations (64.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 7.0ms (41.7% of total)
ival-add: 5.0ms (29.8% of total)
ival-mult: 3.0ms (17.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess297.0ms (4.4%)

Memory
-24.4MiB live, 100.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02265
17263
223755
368455
4225955
5429955
6544555
7581655
8587055
9599655
10606855
11630855
12672255
13701155
14701155
15701155
0811
01311
12611
25511
312011
433211
5101711
6191111
7219811
8232811
9261411
10284111
11288111
12302911
13335711
14337511
15337711
16337711
17337711
18341311
19342511
20342511
0342510
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Outputs
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 #s(literal 1 binary64) x))
Compiler

Compiled 11 to 8 computations (27.3% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.0%
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify139.0ms (2.1%)

Memory
4.4MiB live, 42.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x y)
cost-diff0
(+.f64 (/.f64 x y) #s(literal 1 binary64))
cost-diff0
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
cost-diff1
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0832
01332
12632
25532
312032
433232
5101732
6191132
7219832
8232832
9261432
10284132
11288132
12302932
13335732
14337532
15337732
16337732
17337732
18341332
19342532
20342532
0342530
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
x
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
y
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
Outputs
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 #s(literal 1 binary64) x))
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(fma.f64 (/.f64 x y) x x)
x
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x y)
y
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)

localize21.0ms (0.3%)

Memory
19.0MiB live, 19.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 (/.f64 x y) #s(literal 1 binary64))
accuracy0.0
(+.f64 x #s(literal 1 binary64))
accuracy0.0625
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
accuracy8.942731788950171
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Samples
15.0ms256×0valid
Compiler

Compiled 34 to 10 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (49.5% of total)
ival-add: 2.0ms (24.7% of total)
ival-mult: 2.0ms (24.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series33.0ms (0.5%)

Memory
-31.9MiB live, 11.1MiB allocated
Counts
5 → 26
Calls
Call 1
Inputs
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
(+.f64 x #s(literal 1 binary64))
Outputs
x
(* x (+ 1 (/ x y)))
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
1
(+ 1 (/ x y))
(/ x y)
(+ 1 x)
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ 1 (/ 1 x)))
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(/ (+ (* x y) (pow x 2)) y)
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ x y) y)
(+ x (/ (pow x 2) y))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
Calls

6 calls:

TimeVariablePointExpression
27.0ms
x
@-inf
((* x (+ (/ x y) 1)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (/ x y) 1) (/ x y) (+ x 1))
2.0ms
x
@inf
((* x (+ (/ x y) 1)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (/ x y) 1) (/ x y) (+ x 1))
1.0ms
y
@0
((* x (+ (/ x y) 1)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (/ x y) 1) (/ x y) (+ x 1))
1.0ms
x
@0
((* x (+ (/ x y) 1)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (/ x y) 1) (/ x y) (+ x 1))
1.0ms
y
@-inf
((* x (+ (/ x y) 1)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (+ (/ x y) 1) (/ x y) (+ x 1))

simplify167.0ms (2.5%)

Memory
29.2MiB live, 138.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090321
1253304
2674291
33720289
08258273
Stop Event
iter limit
node limit
Counts
26 → 25
Calls
Call 1
Inputs
x
(* x (+ 1 (/ x y)))
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
1
(+ 1 (/ x y))
(/ x y)
(+ 1 x)
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(* x (+ (/ 1 x) (/ 1 y)))
(* x (+ 1 (/ 1 x)))
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(/ (+ (* x y) (pow x 2)) y)
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ x y) y)
(+ x (/ (pow x 2) y))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
Outputs
x
(* x (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) x x)
(* x (+ 1 (* x (- (/ 1 y) 1))))
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) x (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) x #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(-.f64 (/.f64 x y) #s(literal -1 binary64))
(/ x y)
(/.f64 x y)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 (/.f64 x y) x x)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x #s(literal 1 binary64))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x #s(literal 1 binary64))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(fma.f64 (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) y) (/.f64 #s(literal 1 binary64) x)) x)) x #s(literal 1 binary64))
(* x (+ (/ 1 x) (/ 1 y)))
(-.f64 (/.f64 x y) #s(literal -1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x)) x) (/.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x)) x)) x) (/.f64 #s(literal 1 binary64) y)))
(/ (+ (* x y) (pow x 2)) y)
(fma.f64 (/.f64 x y) x x)
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 (/.f64 x (fma.f64 y x y)) x)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal -1 binary64)))
(/ (+ x y) y)
(-.f64 (/.f64 x y) #s(literal -1 binary64))
(+ x (/ (pow x 2) y))
(fma.f64 (/.f64 x y) x x)
(/ x (+ 1 x))
(/.f64 x (-.f64 x #s(literal -1 binary64)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal -1 binary64)))

rewrite235.0ms (3.5%)

Memory
-12.8MiB live, 162.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0829
01329
15529
237329
3392229
0866627
Stop Event
iter limit
node limit
iter limit
Counts
5 → 336
Calls
Call 1
Inputs
(*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
(+.f64 x #s(literal 1 binary64))
Outputs
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x) (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (pow.f64 (/.f64 x y) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 x y) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (/.f64 x (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 x y) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 x y) x x) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) x)
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x y) x x))
(*.f64 x (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 x (-.f64 (/.f64 x y) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (neg.f64 (*.f64 x (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 (/.f64 x y) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x))) (neg.f64 (neg.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 x y) x)) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) x)) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))))
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(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (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 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (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 (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (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))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #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 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (neg.f64 (neg.f64 (-.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) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (neg.f64 (-.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) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))

eval91.0ms (1.3%)

Memory
-9.8MiB live, 71.9MiB allocated
Compiler

Compiled 8 696 to 1 253 computations (85.6% saved)

prune37.0ms (0.6%)

Memory
-12.6MiB live, 26.7MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New34311354
Fresh000
Picked101
Done000
Total34411355
Accuracy
100.0%
Counts
355 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
58.3%
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x) (*.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
86.0%
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
7.6%
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 x y) x)) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x)))
63.6%
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
29.2%
(/.f64 (*.f64 x (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
39.7%
(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64)))
99.8%
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x)
99.9%
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
49.4%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64))))
55.3%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))
46.7%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))
Compiler

Compiled 400 to 250 computations (37.5% saved)

simplify425.0ms (6.3%)

Memory
16.1MiB live, 96.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (neg.f64 x))
cost-diff0
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1 binary64))
cost-diff0
(*.f64 x (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1 binary64)))
cost-diff0
(/.f64 (*.f64 x (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 x y)
cost-diff0
(fma.f64 (/.f64 x y) x x)
cost-diff0
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
cost-diff0
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x)
cost-diff0
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))
cost-diff0
(-.f64 x #s(literal -1 binary64))
cost-diff0
(/.f64 x (-.f64 x #s(literal -1 binary64)))
cost-diff0
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64))))
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 x y))
cost-diff0
(+.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 x (+.f64 #s(literal 1 binary64) x))
cost-diff1
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033205
058202
1104202
2201202
3520202
41488202
53368202
64467202
74840202
84999202
95097202
105285202
115294202
125298202
135379202
145548202
155600202
165600202
176052202
186985202
197071202
207076202
217083202
227085202
237085202
247085202
257121202
267135202
277135202
287207202
297291202
07291202
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
x
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 x y)
y
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64))))
(/.f64 x (-.f64 x #s(literal -1 binary64)))
x
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (/.f64 x y) x x)
(/.f64 x y)
x
y
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (*.f64 x (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 x (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1 binary64)))
x
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1 binary64))
(sqrt.f64 (neg.f64 x))
(neg.f64 x)
(sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y))
(/.f64 (/.f64 (neg.f64 x) y) y)
(/.f64 (neg.f64 x) y)
y
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
Outputs
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 #s(literal 1 binary64) x))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
x
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
y
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64))))
(/.f64 x (-.f64 x #s(literal -1 binary64)))
x
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 x y) x x)
(/.f64 x y)
x
y
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 (*.f64 x (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(*.f64 x (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64)) x)
x
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64))
(sqrt.f64 (neg.f64 x))
(neg.f64 x)
(sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y))
(/.f64 (/.f64 (neg.f64 x) y) y)
(/.f64 (neg.f64 x) y)
y
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)

localize88.0ms (1.3%)

Memory
-16.2MiB live, 180.5MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0625
(/.f64 (/.f64 (neg.f64 x) y) y)
accuracy0.06640625
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1 binary64))
accuracy6.099297645166581
(/.f64 (*.f64 x (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
accuracy12.621449899138883
(sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y))
accuracy0.0
(/.f64 x y)
accuracy0.0
(+.f64 x #s(literal 1 binary64))
accuracy0.03125
(fma.f64 (/.f64 x y) x x)
accuracy6.095391395166581
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
accuracy0.0
(-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
accuracy0.01171875
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64))
accuracy0.01953125
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x)
accuracy18.477127480197975
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))
accuracy0.0
(-.f64 x #s(literal -1 binary64))
accuracy0.00390625
(/.f64 x (-.f64 x #s(literal -1 binary64)))
accuracy16.111268055345366
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64))))
accuracy0.0
(+.f64 #s(literal 1 binary64) (/.f64 x y))
accuracy0.0
(+.f64 #s(literal 1 binary64) x)
accuracy0.00390625
(/.f64 x (+.f64 #s(literal 1 binary64) x))
accuracy0.01953125
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
Samples
38.0ms129×0invalid
30.0ms127×0valid
Compiler

Compiled 197 to 34 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-div: 21.0ms (41.8% of total)
ival-mult: 14.0ms (27.8% of total)
ival-add: 8.0ms (15.9% of total)
ival-sqrt: 3.0ms (6% of total)
ival-sub: 2.0ms (4% of total)
ival-neg: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series28.0ms (0.4%)

Memory
14.8MiB live, 53.2MiB allocated
Counts
21 → 85
Calls
Call 1
Inputs
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64))))
(/.f64 x (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (/.f64 x y) x x)
(/.f64 x y)
(+.f64 x #s(literal 1 binary64))
(/.f64 (*.f64 x (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 x (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1 binary64))
(sqrt.f64 (neg.f64 x))
(sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y))
(/.f64 (/.f64 (neg.f64 x) y) y)
Outputs
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* x (- x 1))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
1
(+ 1 x)
(+ 1 (/ x y))
(+ 1 (* x (- (/ 1 y) 1)))
(* x (+ 1 (/ x y)))
(/ x y)
(* x (+ 1 (* x (- (/ (pow (sqrt -1) 2) y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ (pow (sqrt -1) 2) y))) (/ (pow (sqrt -1) 2) y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ (pow (sqrt -1) 2) y) 1))) (/ (pow (sqrt -1) 2) y))) (/ (pow (sqrt -1) 2) y)) 1))))
(* x (+ 1 (/ (* x (pow (sqrt -1) 2)) y)))
(+ 1 (/ (* x (pow (sqrt -1) 2)) y))
(* (sqrt x) (sqrt -1))
(* (sqrt x) (/ (sqrt -1) y))
(* -1 (/ x (pow y 2)))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(- 1 (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
(* x (+ 1 (/ 1 x)))
(* x (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (- (/ 1 y) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* x (- (/ 1 y) 1))
(* x (- (+ (/ 1 x) (/ 1 y)) 1))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(/ (* x (pow (sqrt -1) 2)) y)
(* x (- (+ (/ 1 x) (/ (pow (sqrt -1) 2) y)) (/ (pow (sqrt -1) 2) (* x y))))
(* x (- (+ (/ 1 x) (+ (/ (pow (sqrt -1) 2) y) (/ (pow (sqrt -1) 2) (* (pow x 2) y)))) (+ (/ 1 (pow x 2)) (/ (pow (sqrt -1) 2) (* x y)))))
(* x (- (+ (/ 1 x) (+ (/ 1 (pow x 3)) (+ (/ (pow (sqrt -1) 2) y) (/ (pow (sqrt -1) 2) (* (pow x 2) y))))) (+ (/ 1 (pow x 2)) (+ (/ (pow (sqrt -1) 2) (* x y)) (/ (pow (sqrt -1) 2) (* (pow x 3) y))))))
(/ (* (pow x 2) (pow (sqrt -1) 2)) y)
(* (pow x 2) (+ (/ 1 x) (/ (pow (sqrt -1) 2) y)))
(* x (+ (/ 1 x) (/ (pow (sqrt -1) 2) y)))
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
(* -1 (* x (- (* -1 (- (/ 1 y) 1)) (/ 1 x))))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) x)) (* -1 (- 1 (/ 1 y)))) x))) (/ 1 y)) x)) (/ 1 y))))
(* -1 (/ x y))
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))) x)) (/ 1 y))))
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))) x)) (/ 1 y))) x)) (/ 1 y))))
(* -1 (/ (pow x 2) y))
(* (pow x 2) (- (/ 1 x) (/ 1 y)))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* (sqrt x) (/ (sqrt -1) y)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ x y) y)
(/ (+ (* x (* y (+ 1 (* -1 x)))) (pow x 2)) y)
(/ (+ x (* y (+ 1 (* -1 x)))) y)
(/ 1 y)
(/ (+ 1 (* -1 y)) y)
(/ (+ (* x y) (pow x 2)) y)
(/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (* (pow x 2) (pow (sqrt -1) 2)) (+ 1 x))) y)
(/ (+ (* x y) (* (pow x 2) (pow (sqrt -1) 2))) y)
(/ (+ y (* x (pow (sqrt -1) 2))) y)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (* x (+ 1 (* -1 x))) (/ (pow x 2) y))
(+ 1 (* -1 x))
(+ 1 (+ (* -1 x) (/ x y)))
-1
(- (/ 1 y) 1)
(+ x (/ (pow x 2) y))
(+ (/ x (+ 1 x)) (/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x))))
(+ x (/ (* (pow x 2) (pow (sqrt -1) 2)) y))
(+ (* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x)))) (/ x (+ 1 x)))
(+ x (* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) y)))
(+ 1 (* -1 (/ (* x (pow (sqrt -1) 2)) y)))
Calls

6 calls:

TimeVariablePointExpression
8.0ms
y
@0
((* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ x (+ 1 x)) (+ 1 x) (+ 1 (/ x y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (- x -1)) (- x -1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (- (/ 1 y) 1) (/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (/ x y) (+ x 1) (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1) (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y)) (/ (/ (neg x) y) y))
5.0ms
x
@0
((* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ x (+ 1 x)) (+ 1 x) (+ 1 (/ x y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (- x -1)) (- x -1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (- (/ 1 y) 1) (/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (/ x y) (+ x 1) (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1) (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y)) (/ (/ (neg x) y) y))
4.0ms
x
@inf
((* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ x (+ 1 x)) (+ 1 x) (+ 1 (/ x y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (- x -1)) (- x -1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (- (/ 1 y) 1) (/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (/ x y) (+ x 1) (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1) (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y)) (/ (/ (neg x) y) y))
4.0ms
x
@-inf
((* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ x (+ 1 x)) (+ 1 x) (+ 1 (/ x y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (- x -1)) (- x -1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (- (/ 1 y) 1) (/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (/ x y) (+ x 1) (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1) (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y)) (/ (/ (neg x) y) y))
3.0ms
y
@inf
((* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ x (+ 1 x)) (+ 1 x) (+ 1 (/ x y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ x (- x -1)) (- x -1) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (- (/ 1 y) 1) (/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (/ x y) (+ x 1) (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1) (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y)) (/ (/ (neg x) y) y))

simplify131.0ms (1.9%)

Memory
10.2MiB live, 162.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02501107
1759944
22376887
08407848
Stop Event
iter limit
node limit
Counts
85 → 84
Calls
Call 1
Inputs
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* x (- x 1))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
1
(+ 1 x)
(+ 1 (/ x y))
(+ 1 (* x (- (/ 1 y) 1)))
(* x (+ 1 (/ x y)))
(/ x y)
(* x (+ 1 (* x (- (/ (pow (sqrt -1) 2) y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ (pow (sqrt -1) 2) y))) (/ (pow (sqrt -1) 2) y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ (pow (sqrt -1) 2) y) 1))) (/ (pow (sqrt -1) 2) y))) (/ (pow (sqrt -1) 2) y)) 1))))
(* x (+ 1 (/ (* x (pow (sqrt -1) 2)) y)))
(+ 1 (/ (* x (pow (sqrt -1) 2)) y))
(* (sqrt x) (sqrt -1))
(* (sqrt x) (/ (sqrt -1) y))
(* -1 (/ x (pow y 2)))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(- 1 (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
(* x (+ 1 (/ 1 x)))
(* x (+ (/ 1 x) (/ 1 y)))
(* (pow x 2) (- (/ 1 y) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* x (- (/ 1 y) 1))
(* x (- (+ (/ 1 x) (/ 1 y)) 1))
(/ (pow x 2) y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(/ (* x (pow (sqrt -1) 2)) y)
(* x (- (+ (/ 1 x) (/ (pow (sqrt -1) 2) y)) (/ (pow (sqrt -1) 2) (* x y))))
(* x (- (+ (/ 1 x) (+ (/ (pow (sqrt -1) 2) y) (/ (pow (sqrt -1) 2) (* (pow x 2) y)))) (+ (/ 1 (pow x 2)) (/ (pow (sqrt -1) 2) (* x y)))))
(* x (- (+ (/ 1 x) (+ (/ 1 (pow x 3)) (+ (/ (pow (sqrt -1) 2) y) (/ (pow (sqrt -1) 2) (* (pow x 2) y))))) (+ (/ 1 (pow x 2)) (+ (/ (pow (sqrt -1) 2) (* x y)) (/ (pow (sqrt -1) 2) (* (pow x 3) y))))))
(/ (* (pow x 2) (pow (sqrt -1) 2)) y)
(* (pow x 2) (+ (/ 1 x) (/ (pow (sqrt -1) 2) y)))
(* x (+ (/ 1 x) (/ (pow (sqrt -1) 2) y)))
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
(* -1 (* x (- (* -1 (- (/ 1 y) 1)) (/ 1 x))))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) x)) (* -1 (- 1 (/ 1 y)))) x))) (/ 1 y)) x)) (/ 1 y))))
(* -1 (/ x y))
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))) x)) (/ 1 y))))
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))) x)) (/ 1 y))) x)) (/ 1 y))))
(* -1 (/ (pow x 2) y))
(* (pow x 2) (- (/ 1 x) (/ 1 y)))
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(* -1 (* (sqrt x) (sqrt -1)))
(* -1 (* (sqrt x) (/ (sqrt -1) y)))
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ (+ x y) y)
(/ (+ (* x (* y (+ 1 (* -1 x)))) (pow x 2)) y)
(/ (+ x (* y (+ 1 (* -1 x)))) y)
(/ 1 y)
(/ (+ 1 (* -1 y)) y)
(/ (+ (* x y) (pow x 2)) y)
(/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (* (pow x 2) (pow (sqrt -1) 2)) (+ 1 x))) y)
(/ (+ (* x y) (* (pow x 2) (pow (sqrt -1) 2))) y)
(/ (+ y (* x (pow (sqrt -1) 2))) y)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(+ (* x (+ 1 (* -1 x))) (/ (pow x 2) y))
(+ 1 (* -1 x))
(+ 1 (+ (* -1 x) (/ x y)))
-1
(- (/ 1 y) 1)
(+ x (/ (pow x 2) y))
(+ (/ x (+ 1 x)) (/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x))))
(+ x (/ (* (pow x 2) (pow (sqrt -1) 2)) y))
(+ (* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x)))) (/ x (+ 1 x)))
(+ x (* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) y)))
(+ 1 (* -1 (/ (* x (pow (sqrt -1) 2)) y)))
Outputs
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(fma.f64 (fma.f64 (-.f64 x (/.f64 x y)) x (-.f64 (/.f64 x y) x)) x x)
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 x y) x) x (-.f64 x (/.f64 x y))) x (-.f64 (/.f64 x y) x)) x x)
(* x (+ 1 (* -1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(* x (+ 1 (* x (- x 1))))
(*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(*.f64 (fma.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (* x (- (/ 1 y) 1)))
(+.f64 (-.f64 (/.f64 x y) x) #s(literal 1 binary64))
(* x (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) x x)
(/ x y)
(/.f64 x y)
(* x (+ 1 (* x (- (/ (pow (sqrt -1) 2) y) 1))))
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (+ (* x (- 1 (/ (pow (sqrt -1) 2) y))) (/ (pow (sqrt -1) 2) y)) 1))))
(fma.f64 (*.f64 x x) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) x)
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ (pow (sqrt -1) 2) y) 1))) (/ (pow (sqrt -1) 2) y))) (/ (pow (sqrt -1) 2) y)) 1))))
(fma.f64 (*.f64 x x) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) x (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) x)
(* x (+ 1 (/ (* x (pow (sqrt -1) 2)) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x)
(+ 1 (/ (* x (pow (sqrt -1) 2)) y))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* (sqrt x) (sqrt -1))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64)))
(* (sqrt x) (/ (sqrt -1) y))
(*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) y) (sqrt.f64 x))
(* -1 (/ x (pow y 2)))
(/.f64 (/.f64 (neg.f64 x) y) y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x #s(literal 1 binary64))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) y) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) x)) x #s(literal 1 binary64))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(fma.f64 (-.f64 (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y)) x #s(literal 1 binary64))
(- 1 (/ 1 x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) x)) (/.f64 #s(literal 1 binary64) x))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* (pow x 2) (- (/ 1 y) 1))
(*.f64 (-.f64 (/.f64 x y) x) x)
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(* x (- (/ 1 y) 1))
(-.f64 (/.f64 x y) x)
(* x (- (+ (/ 1 x) (/ 1 y)) 1))
(+.f64 (-.f64 (/.f64 x y) x) #s(literal 1 binary64))
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 (/.f64 x y) x x)
(/ (* x (pow (sqrt -1) 2)) y)
(/.f64 (neg.f64 x) y)
(* x (- (+ (/ 1 x) (/ (pow (sqrt -1) 2) y)) (/ (pow (sqrt -1) 2) (* x y))))
(fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) x #s(literal 1 binary64))
(* x (- (+ (/ 1 x) (+ (/ (pow (sqrt -1) 2) y) (/ (pow (sqrt -1) 2) (* (pow x 2) y)))) (+ (/ 1 (pow x 2)) (/ (pow (sqrt -1) 2) (* x y)))))
(fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) x)) x #s(literal 1 binary64))
(* x (- (+ (/ 1 x) (+ (/ 1 (pow x 3)) (+ (/ (pow (sqrt -1) 2) y) (/ (pow (sqrt -1) 2) (* (pow x 2) y))))) (+ (/ 1 (pow x 2)) (+ (/ (pow (sqrt -1) 2) (* x y)) (/ (pow (sqrt -1) 2) (* (pow x 3) y))))))
(fma.f64 (-.f64 (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) x)) x #s(literal 1 binary64))
(/ (* (pow x 2) (pow (sqrt -1) 2)) y)
(*.f64 (/.f64 (neg.f64 x) y) x)
(* (pow x 2) (+ (/ 1 x) (/ (pow (sqrt -1) 2) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x)
(* x (+ (/ 1 x) (/ (pow (sqrt -1) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) x)) x) (/.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) x) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) y)))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))
(* -1 (* x (- (* -1 (- (/ 1 y) 1)) (/ 1 x))))
(*.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)))
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) x)) (* -1 (- 1 (/ 1 y)))) x))) (/ 1 y)) x)) (/ 1 y))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) x) (/.f64 #s(literal 1 binary64) y)))
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))))
(-.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) x #s(literal 1 binary64)) (/.f64 x y))
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))) x)) (/ 1 y))))
(-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)) x) x #s(literal 1 binary64)) (/.f64 x y))
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))) x)) (/ 1 y))) x)) (/ 1 y))))
(-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x)) x)) x) x #s(literal 1 binary64)) (/.f64 x y))
(* -1 (/ (pow x 2) y))
(*.f64 (/.f64 (neg.f64 x) y) x)
(* (pow x 2) (- (/ 1 x) (/ 1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x)
(* -1 (* x (- (/ 1 y) (/ 1 x))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)))
(* -1 (* (sqrt x) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 #s(literal -1 binary64)))
(* -1 (* (sqrt x) (/ (sqrt -1) y)))
(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 y))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 x (/.f64 x (fma.f64 y x y)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y))
(/ (+ x y) y)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ (+ (* x (* y (+ 1 (* -1 x)))) (pow x 2)) y)
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(/ (+ x (* y (+ 1 (* -1 x)))) y)
(+.f64 (-.f64 (/.f64 x y) x) #s(literal 1 binary64))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (* -1 y)) y)
(-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(/ (+ (* x y) (pow x 2)) y)
(fma.f64 (/.f64 x y) x x)
(/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x)))
(*.f64 x (/.f64 (neg.f64 x) (fma.f64 y x y)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (* (pow x 2) (pow (sqrt -1) 2)) (+ 1 x))) y)
(/.f64 (*.f64 x (-.f64 y x)) (fma.f64 y x y))
(/ (+ (* x y) (* (pow x 2) (pow (sqrt -1) 2))) y)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x)
(/ (+ y (* x (pow (sqrt -1) 2))) y)
(-.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x (+ 1 x))
(/.f64 x (-.f64 x #s(literal -1 binary64)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal -1 binary64)))
(+ (* x (+ 1 (* -1 x))) (/ (pow x 2) y))
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (+ (* -1 x) (/ x y)))
(+.f64 (-.f64 (/.f64 x y) x) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (/ 1 y) 1)
(-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(+ x (/ (pow x 2) y))
(fma.f64 (/.f64 x y) x x)
(+ (/ x (+ 1 x)) (/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x) (-.f64 x #s(literal -1 binary64)))
(+ x (/ (* (pow x 2) (pow (sqrt -1) 2)) y))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) x)
(+ (* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x)))) (/ x (+ 1 x)))
(/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 x #s(literal -1 binary64)))
(+ x (* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) y)))
(fma.f64 (/.f64 x y) x x)
(+ 1 (* -1 (/ (* x (pow (sqrt -1) 2)) y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))

rewrite190.0ms (2.8%)

Memory
-3.5MiB live, 274.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033176
058150
1219150
21588149
08395145
Stop Event
iter limit
node limit
iter limit
Counts
21 → 1 183
Calls
Call 1
Inputs
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64))))
(/.f64 x (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x)
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (/.f64 x y) x x)
(/.f64 x y)
(+.f64 x #s(literal 1 binary64))
(/.f64 (*.f64 x (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 x (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1 binary64))
(sqrt.f64 (neg.f64 x))
(sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y))
(/.f64 (/.f64 (neg.f64 x) y) y)
Outputs
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 (*.f64 (/.f64 x y) x) x)) (/.f64 (-.f64 (*.f64 (/.f64 x y) x) x) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 x y) x)) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64))) (fma.f64 x (-.f64 x (*.f64 (/.f64 x y) x)) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64)))) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 (*.f64 x x) #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) x)
(*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 x (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (fma.f64 (*.f64 (/.f64 (neg.f64 x) y) (/.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 x (+.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 x (+.f64 #s(literal 1 binary64) x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 x y)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 x y)) (*.f64 (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 x y)) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (neg.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 x y))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (fabs.f64 (/.f64 x y)) x) (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (fabs.f64 (/.f64 x y)) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 (fabs.f64 (/.f64 x y)) x) (+.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (fabs.f64 (/.f64 x y)) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x))))))
(/.f64 (+.f64 (neg.f64 x) (*.f64 (/.f64 x y) (neg.f64 x))) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (+.f64 (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 x y))) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (fma.f64 (/.f64 x y) (neg.f64 x) (neg.f64 x)) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) (neg.f64 x)) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(/.f64 (neg.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x y))))
(/.f64 (neg.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 x y) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 x (*.f64 (/.f64 x y) x)) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 x y) x) x) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 x y) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 x y) (/.f64 x (+.f64 #s(literal 1 binary64) x))))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) y) #s(literal 3 binary64))) (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x y) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 x y) (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))))))
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(*.f64 (/.f64 (sqrt.f64 (neg.f64 x)) (fabs.f64 y)) (/.f64 (sqrt.f64 (neg.f64 x)) (fabs.f64 y)))
(*.f64 (/.f64 (neg.f64 x) y) (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (*.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 (sqrt.f64 (neg.f64 x)) (fabs.f64 y)) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 (neg.f64 x) y) y) #s(literal 1 binary64))
(/.f64 (/.f64 (neg.f64 x) y) (neg.f64 (neg.f64 y)))
(/.f64 (/.f64 (neg.f64 x) y) y)
(/.f64 (neg.f64 x) (neg.f64 (neg.f64 (*.f64 y y))))
(/.f64 (neg.f64 x) (neg.f64 (*.f64 (neg.f64 y) y)))
(/.f64 (neg.f64 x) (*.f64 y y))
(/.f64 (/.f64 x y) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (/.f64 x y) (neg.f64 y))
(/.f64 x (neg.f64 (*.f64 y y)))
(/.f64 x (*.f64 (neg.f64 y) y))
(neg.f64 (/.f64 (/.f64 x y) y))
(neg.f64 (/.f64 x (*.f64 y y)))
(sqrt.f64 (*.f64 (/.f64 (/.f64 (neg.f64 x) y) y) (/.f64 (/.f64 (neg.f64 x) y) y)))
(exp.f64 (fma.f64 (log.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))

eval77.0ms (1.1%)

Memory
15.0MiB live, 170.6MiB allocated
Compiler

Compiled 17 914 to 2 341 computations (86.9% saved)

prune17.0ms (0.3%)

Memory
11.9MiB live, 49.4MiB allocated
Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New6229631
Fresh426
Picked235
Done000
Total62814642
Accuracy
100.0%
Counts
642 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.6%
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (neg.f64 x)) (fabs.f64 y)) (*.f64 (sqrt.f64 (neg.f64 x)) x) x) (+.f64 x #s(literal 1 binary64)))
86.0%
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
24.6%
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 x) y) x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (/.f64 (neg.f64 x) y) x) (*.f64 (/.f64 (neg.f64 x) y) x) (*.f64 x (*.f64 (/.f64 (neg.f64 x) y) x))))) (+.f64 x #s(literal 1 binary64)))
63.6%
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
39.7%
(/.f64 #s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64)))
99.9%
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
49.4%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64))))
55.0%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (fma.f64 #s(approx (- (/ 1 y) 1) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64)) x))
46.7%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))
20.3%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) x))
44.6%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x))
55.3%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (fma.f64 (-.f64 (/.f64 x y) x) x x)))
2.9%
#s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 (neg.f64 x) y))
71.0%
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y)))
Compiler

Compiled 586 to 345 computations (41.1% saved)

simplify89.0ms (1.3%)

Memory
-13.1MiB live, 75.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 (/.f64 x y) x)
cost-diff0
#s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x))
cost-diff0
(/.f64 #s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64)))
cost-diff0
(fma.f64 y x y)
cost-diff0
(/.f64 x (fma.f64 y x y))
cost-diff0
(*.f64 (/.f64 x (fma.f64 y x y)) x)
cost-diff0
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))
cost-diff0
(-.f64 (/.f64 x y) x)
cost-diff0
#s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x))
cost-diff0
(*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) x)
cost-diff0
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) x))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
#s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x))
cost-diff0
(*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x)
cost-diff0
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x))
cost-diff0
(+.f64 y x)
cost-diff0
(*.f64 x (+.f64 y x))
cost-diff0
(/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y))
cost-diff0
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039261
056261
198261
2161261
3415245
41194245
53175245
66754245
08098243
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y)))
(/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y))
(*.f64 x (+.f64 y x))
x
(+.f64 y x)
y
(fma.f64 y x y)
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x))
(*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x)
#s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) x))
(*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) x)
#s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x))
(-.f64 (/.f64 x y) x)
(/.f64 x y)
x
y
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))
(*.f64 (/.f64 x (fma.f64 y x y)) x)
(/.f64 x (fma.f64 y x y))
x
(fma.f64 y x y)
y
(/.f64 #s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64)))
#s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x))
(*.f64 (/.f64 x y) x)
(/.f64 x y)
x
y
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y)))
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 y x)))
(/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y))
(*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 y x))
(*.f64 x (+.f64 y x))
(*.f64 (+.f64 y x) x)
x
(+.f64 y x)
y
(fma.f64 y x y)
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x))
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x))
(*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x)
#s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) x))
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) x))
(*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) x)
#s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x))
(-.f64 (/.f64 x y) x)
(/.f64 x y)
x
y
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (/.f64 x (fma.f64 y x y)) x))
(*.f64 (/.f64 x (fma.f64 y x y)) x)
(/.f64 x (fma.f64 y x y))
x
(fma.f64 y x y)
y
(/.f64 #s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x)) (+.f64 #s(literal 1 binary64) x))
#s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x))
(*.f64 (/.f64 x y) x)
(/.f64 x y)
x
y
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

localize76.0ms (1.1%)

Memory
-19.9MiB live, 138.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 x #s(literal 1 binary64))
accuracy0.09375
(*.f64 (/.f64 x y) x)
accuracy8.942731788950171
(/.f64 #s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64)))
accuracy29.67504805814051
#s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x))
accuracy0.0
(fma.f64 y x y)
accuracy0.15625
(*.f64 (/.f64 x (fma.f64 y x y)) x)
accuracy8.088641630615996
(/.f64 x (fma.f64 y x y))
accuracy29.668161737863752
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))
accuracy0.0078125
(-.f64 (/.f64 x y) x)
accuracy0.0390625
(*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) x)
accuracy23.27415575052655
#s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x))
accuracy28.59735852266363
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) x))
accuracy0.0
(-.f64 #s(literal 1 binary64) x)
accuracy0.0390625
(*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x)
accuracy23.810288005051056
#s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x))
accuracy28.59735852266363
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x))
accuracy0.0
(+.f64 y x)
accuracy0.0
(*.f64 x (+.f64 y x))
accuracy0.0
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y)))
accuracy18.304868883048986
(/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y))
Samples
53.0ms256×0valid
Compiler

Compiled 182 to 31 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-mult: 13.0ms (33.8% of total)
ival-div: 11.0ms (28.6% of total)
ival-add: 10.0ms (26% of total)
ival-sub: 3.0ms (7.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory
25.1MiB live, 25.1MiB allocated
Counts
21 → 85
Calls
Call 1
Inputs
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y)))
(/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y))
(*.f64 x (+.f64 y x))
(+.f64 y x)
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x))
(*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x)
#s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) x))
(*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) x)
#s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x))
(-.f64 (/.f64 x y) x)
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))
(*.f64 (/.f64 x (fma.f64 y x y)) x)
(/.f64 x (fma.f64 y x y))
(fma.f64 y x y)
(/.f64 #s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64)))
#s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x))
(*.f64 (/.f64 x y) x)
(/.f64 x y)
(+.f64 x #s(literal 1 binary64))
Outputs
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(* x y)
(* x (+ x y))
y
(+ x y)
1
(+ 1 (* x (- (/ 1 y) 1)))
(+ 1 (* -1 x))
(* x (- (/ 1 y) 1))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y)))
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(/ x y)
(* x (+ (* -1 (/ x y)) (/ 1 y)))
(* x (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(+ y (* x y))
(* x (+ 1 (/ x y)))
(+ 1 x)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* (pow x 2) (- (/ 1 y) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* x (- (+ (/ 1 x) (/ 1 y)) 1))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))))
(/ 1 y)
(- (/ 1 y) (/ 1 (* x y)))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))
(* x (+ y (/ y x)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* x (+ 1 (/ 1 x)))
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (- (/ 1 y) 1)) (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y))))
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) x)) (* -1 (- 1 (/ 1 y)))) x))) (/ 1 y)) x)) (/ 1 y))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(+ (* x y) (pow x 2))
(/ (+ (* x (* y (+ 1 (* -1 x)))) (pow x 2)) y)
(/ (+ x (* y (+ 1 (* -1 x)))) y)
(/ (+ x (* -1 (* x y))) y)
(/ x (* y (+ 1 x)))
(* y (+ 1 x))
(/ (+ (* x y) (pow x 2)) y)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(* y (+ x (/ (pow x 2) y)))
(* y (+ 1 (/ x y)))
(* x (+ 1 (* -1 x)))
(+ (* x (+ 1 (* -1 x))) (/ (pow x 2) y))
(+ 1 (+ (* -1 x) (/ x y)))
(- (/ x y) x)
(+ x (/ (pow x 2) y))
(* -1 (/ x (- (* -1 x) 1)))
(+ (* -1 (/ x (- (* -1 x) 1))) (* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(* -1 (/ x (* y (- (* -1 x) 1))))
(* -1 (* y (- (* -1 x) 1)))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
y
@-inf
((* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ (* x (+ y x)) (+ (* y x) y)) (* x (+ y x)) (+ y x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (- 1 x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (+ (* y x) y) (/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (* (/ x y) x) (/ x y) (+ x 1))
3.0ms
x
@-inf
((* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ (* x (+ y x)) (+ (* y x) y)) (* x (+ y x)) (+ y x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (- 1 x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (+ (* y x) y) (/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (* (/ x y) x) (/ x y) (+ x 1))
2.0ms
y
@0
((* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ (* x (+ y x)) (+ (* y x) y)) (* x (+ y x)) (+ y x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (- 1 x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (+ (* y x) y) (/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (* (/ x y) x) (/ x y) (+ x 1))
2.0ms
x
@inf
((* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ (* x (+ y x)) (+ (* y x) y)) (* x (+ y x)) (+ y x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (- 1 x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (+ (* y x) y) (/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (* (/ x y) x) (/ x y) (+ x 1))
2.0ms
y
@inf
((* (/ x (+ 1 x)) (+ 1 (/ x y))) (/ (* x (+ y x)) (+ (* y x) y)) (* x (+ y x)) (+ y x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (- 1 x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (- (/ x y) x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (+ (* y x) y) (/ (+ (* (/ x y) x) x) (+ x 1)) (+ (* (/ x y) x) x) (* (/ x y) x) (/ x y) (+ x 1))

simplify147.0ms (2.2%)

Memory
-0.7MiB live, 153.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0216965
1662915
21816861
36179859
08371831
Stop Event
iter limit
node limit
Counts
85 → 83
Calls
Call 1
Inputs
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(* x y)
(* x (+ x y))
y
(+ x y)
1
(+ 1 (* x (- (/ 1 y) 1)))
(+ 1 (* -1 x))
(* x (- (/ 1 y) 1))
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y)))
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(/ x y)
(* x (+ (* -1 (/ x y)) (/ 1 y)))
(* x (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(+ y (* x y))
(* x (+ 1 (/ x y)))
(+ 1 x)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(pow x 2)
(* (pow x 2) (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* (pow x 2) (- (/ 1 y) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* x (- (+ (/ 1 x) (/ 1 y)) 1))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))))
(/ 1 y)
(- (/ 1 y) (/ 1 (* x y)))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))
(* x (+ y (/ y x)))
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(* x (+ 1 (/ 1 x)))
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (- (/ 1 y) 1)) (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 y))))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y))))
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) x)) (* -1 (- 1 (/ 1 y)))) x))) (/ 1 y)) x)) (/ 1 y))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(+ (* x y) (pow x 2))
(/ (+ (* x (* y (+ 1 (* -1 x)))) (pow x 2)) y)
(/ (+ x (* y (+ 1 (* -1 x)))) y)
(/ (+ x (* -1 (* x y))) y)
(/ x (* y (+ 1 x)))
(* y (+ 1 x))
(/ (+ (* x y) (pow x 2)) y)
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(* y (+ x (/ (pow x 2) y)))
(* y (+ 1 (/ x y)))
(* x (+ 1 (* -1 x)))
(+ (* x (+ 1 (* -1 x))) (/ (pow x 2) y))
(+ 1 (+ (* -1 x) (/ x y)))
(- (/ x y) x)
(+ x (/ (pow x 2) y))
(* -1 (/ x (- (* -1 x) 1)))
(+ (* -1 (/ x (- (* -1 x) 1))) (* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(* -1 (/ x (* y (- (* -1 x) 1))))
(* -1 (* y (- (* -1 x) 1)))
Outputs
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(fma.f64 (fma.f64 (-.f64 x (/.f64 x y)) x (-.f64 (/.f64 x y) x)) x x)
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 x y) x) x (-.f64 x (/.f64 x y))) x (-.f64 (/.f64 x y) x)) x x)
(* x y)
(*.f64 y x)
(* x (+ x y))
(*.f64 (+.f64 y x) x)
y
(+ x y)
(+.f64 y x)
1
#s(literal 1 binary64)
(+ 1 (* x (- (/ 1 y) 1)))
(-.f64 (-.f64 (/.f64 x y) x) #s(literal -1 binary64))
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 y) 1))
(-.f64 (/.f64 x y) x)
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y)))
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x) x)
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)) (*.f64 x x))
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x) (/.f64 #s(literal 1 binary64) y)) x (/.f64 #s(literal 1 binary64) y)) (*.f64 x x))
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x y)) (/ 1 y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x)
(* x (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(-.f64 (/.f64 x y) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x) x))
(* x (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(fma.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x) (/.f64 #s(literal 1 binary64) y)) (*.f64 x x) (/.f64 x y))
(+ y (* x y))
(fma.f64 y x y)
(* x (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) x x)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x #s(literal 1 binary64))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x #s(literal 1 binary64))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(fma.f64 (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) y) (/.f64 #s(literal 1 binary64) x)) x)) x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ y x)))
(*.f64 (+.f64 y x) x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* (pow x 2) (- (/ 1 y) 1))
(*.f64 (-.f64 (/.f64 x y) x) x)
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(* x (- (+ (/ 1 x) (/ 1 y)) 1))
(-.f64 (-.f64 (/.f64 x y) x) #s(literal -1 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 y) (/ 1 (* x y))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x)
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))))
(fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) y)) x) x (/.f64 x y))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) y) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) y)) x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(- (/ 1 y) (/ 1 (* x y)))
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))
(-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))
(-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) y) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) x) y))
(* x (+ y (/ y x)))
(fma.f64 y x y)
(* (pow x 2) (+ (/ 1 x) (/ 1 y)))
(fma.f64 (/.f64 x y) x x)
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) x) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (-.f64 (/.f64 y (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))
(* -1 (* x (- (* -1 (- (/ 1 y) 1)) (/ 1 x))))
(*.f64 (-.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(* -1 (* x (- 1 (/ 1 x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(* -1 (* x (- 1 (/ 1 y))))
(neg.f64 (-.f64 x (/.f64 x y)))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y))
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y))
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x)) x))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 y x y)
(* -1 (* x (- (* -1 (/ (- 1 (/ 1 y)) x)) (/ 1 y))))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- 1 (/ 1 y)) x))) (/ 1 y)) x)) (/ 1 y))))
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 (/ 1 y)) x)) (* -1 (- 1 (/ 1 y)))) x))) (/ 1 y)) x)) (/ 1 y))))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 (/.f64 x (fma.f64 y x y)) x)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y)))
(+ (* x y) (pow x 2))
(*.f64 (+.f64 y x) x)
(/ (+ (* x (* y (+ 1 (* -1 x)))) (pow x 2)) y)
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(/ (+ x (* y (+ 1 (* -1 x)))) y)
(-.f64 (-.f64 (/.f64 x y) x) #s(literal -1 binary64))
(/ (+ x (* -1 (* x y))) y)
(-.f64 (/.f64 x y) x)
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 y x y))
(* y (+ 1 x))
(fma.f64 y x y)
(/ (+ (* x y) (pow x 2)) y)
(fma.f64 (/.f64 x y) x x)
(/ x (+ 1 x))
(/.f64 x (-.f64 x #s(literal -1 binary64)))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y)))
(* y (+ x (/ (pow x 2) y)))
(*.f64 (+.f64 y x) x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* x (+ 1 (* -1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(+ (* x (+ 1 (* -1 x))) (/ (pow x 2) y))
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(+ 1 (+ (* -1 x) (/ x y)))
(-.f64 (-.f64 (/.f64 x y) x) #s(literal -1 binary64))
(- (/ x y) x)
(-.f64 (/.f64 x y) x)
(+ x (/ (pow x 2) y))
(fma.f64 (/.f64 x y) x x)
(* -1 (/ x (- (* -1 x) 1)))
(/.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(+ (* -1 (/ x (- (* -1 x) 1))) (* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))))
(*.f64 (/.f64 x (-.f64 (neg.f64 x) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow x 2) y)))))
(*.f64 (+.f64 y x) x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(*.f64 (/.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 1 binary64))) (/.f64 x y))
(* -1 (/ x (* y (- (* -1 x) 1))))
(/.f64 (/.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 1 binary64))) y)
(* -1 (* y (- (* -1 x) 1)))
(*.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y))

rewrite162.0ms (2.4%)

Memory
15.6MiB live, 203.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039243
056243
1215243
21530243
08150225
Stop Event
iter limit
node limit
iter limit
Counts
21 → 313
Calls
Call 1
Inputs
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y)))
(/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y))
(*.f64 x (+.f64 y x))
(+.f64 y x)
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x))
(*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x)
#s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) x))
(*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) x)
#s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x))
(-.f64 (/.f64 x y) x)
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))
(*.f64 (/.f64 x (fma.f64 y x y)) x)
(/.f64 x (fma.f64 y x y))
(fma.f64 y x y)
(/.f64 #s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64)))
#s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x))
(*.f64 (/.f64 x y) x)
(/.f64 x y)
(+.f64 x #s(literal 1 binary64))
Outputs
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y))))
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(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) y)) (*.f64 (-.f64 (*.f64 y x) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 y x) y) (-.f64 (*.f64 y x) y)))
(/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 y (*.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 y x) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (*.f64 y x) y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) y))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(fma.f64 y x y)
(fma.f64 x y y)
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 y (*.f64 y x))))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y x) y)))
(-.f64 y (*.f64 (neg.f64 y) x))
(-.f64 y (*.f64 (neg.f64 x) y))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) y)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) y)))))
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) y)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (-.f64 y (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 y x) y)))
(+.f64 (*.f64 y x) y)
(+.f64 y (*.f64 y x))
(*.f64 (/.f64 #s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x)) (-.f64 (*.f64 x x) #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x))))) (neg.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x)))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 #s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x))) (neg.f64 (+.f64 #s(literal 1 binary64) x)))
(/.f64 #s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x)) (+.f64 #s(literal 1 binary64) x))
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x))) (+.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 #s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x)) (neg.f64 (+.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x))
(*.f64 (/.f64 x y) x)
(*.f64 x (/.f64 x y))
(/.f64 (neg.f64 (neg.f64 (*.f64 x x))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 x (neg.f64 x))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 y))
(/.f64 (*.f64 x (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 x x) y)
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y)))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
(neg.f64 (/.f64 x (neg.f64 y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (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 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (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 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))

eval49.0ms (0.7%)

Memory
14.5MiB live, 88.9MiB allocated
Compiler

Compiled 14 363 to 1 677 computations (88.3% saved)

prune318.0ms (4.7%)

Memory
-136.5MiB live, 71.2MiB allocated
Pruning

18 alts after pruning (12 fresh and 6 done)

PrunedKeptTotal
New4097416
Fresh156
Picked235
Done033
Total41218430
Accuracy
100.0%
Counts
430 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.6%
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (neg.f64 x)) (fabs.f64 y)) (*.f64 (sqrt.f64 (neg.f64 x)) x) x) (+.f64 x #s(literal 1 binary64)))
86.0%
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
24.6%
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 x) y) x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (/.f64 (neg.f64 x) y) x) (*.f64 (/.f64 (neg.f64 x) y) x) (*.f64 x (*.f64 (/.f64 (neg.f64 x) y) x))))) (+.f64 x #s(literal 1 binary64)))
63.6%
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
99.9%
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
51.4%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) x) y))
38.1%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y)))
49.4%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64))))
46.7%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))
20.4%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x))
43.2%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x))
44.6%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x))
9.8%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(approx (- 1 x) (neg.f64 x))) x))
38.9%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x))
55.3%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (fma.f64 (-.f64 (/.f64 x y) x) x x)))
2.9%
#s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 (neg.f64 x) y))
71.0%
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y)))
77.0%
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y))))
Compiler

Compiled 709 to 423 computations (40.3% saved)

simplify188.0ms (2.8%)

Memory
-14.0MiB live, 176.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 y x y)
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 (*.f64 x x) (fma.f64 y x y))
cost-diff0
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y)))
cost-diff0
(/.f64 x y)
cost-diff0
#s(approx (/ x (+ (* y x) y)) (/.f64 x y))
cost-diff0
(*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)
cost-diff0
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x))
cost-diff0
(neg.f64 x)
cost-diff0
(/.f64 (neg.f64 x) y)
cost-diff0
#s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 (neg.f64 x) y))
cost-diff0
#s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)
cost-diff0
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x))
cost-diff0
(/.f64 x (fma.f64 y x y))
cost-diff0
(+.f64 y x)
cost-diff0
(*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y)))
cost-diff0
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046218
056218
1106218
2226218
3608218
41817214
53921214
66079214
76564214
08382210
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y))))
(*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y)))
(+.f64 y x)
y
x
(/.f64 x (fma.f64 y x y))
(fma.f64 y x y)
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x))
(*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)
#s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 (neg.f64 x) y))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x))
(*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)
#s(approx (/ x (+ (* y x) y)) (/.f64 x y))
(/.f64 x y)
x
y
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y)))
(/.f64 (*.f64 x x) (fma.f64 y x y))
(*.f64 x x)
x
(fma.f64 y x y)
y
Outputs
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y))))
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 y x)))
(*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y)))
(*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 y x))
(+.f64 y x)
y
x
(/.f64 x (fma.f64 y x y))
(fma.f64 y x y)
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x))
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x))
(*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)
#s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 (neg.f64 x) y))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
x
y
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x))
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x))
(*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)
#s(approx (/ x (+ (* y x) y)) (/.f64 x y))
(/.f64 x y)
x
y
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y)))
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (/.f64 x (fma.f64 y x y)) x))
(/.f64 (*.f64 x x) (fma.f64 y x y))
(*.f64 (/.f64 x (fma.f64 y x y)) x)
(*.f64 x x)
x
(fma.f64 y x y)
y

localize93.0ms (1.4%)

Memory
-2.7MiB live, 124.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 y x y)
accuracy0.0
(*.f64 x x)
accuracy8.696728518323162
(/.f64 (*.f64 x x) (fma.f64 y x y))
accuracy14.775236866895108
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y)))
accuracy0.0
(/.f64 x y)
accuracy0.078125
(*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)
accuracy14.775236866895108
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x))
accuracy18.58797256643051
#s(approx (/ x (+ (* y x) y)) (/.f64 x y))
accuracy0.0
(/.f64 (neg.f64 x) y)
accuracy0.0
(neg.f64 x)
accuracy22.67386235154827
#s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 (neg.f64 x) y))
accuracy0.01953125
(*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)
accuracy18.477127480197975
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x))
accuracy20.751699351632638
#s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64))
accuracy0.0
(+.f64 y x)
accuracy0.0
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y))))
accuracy2.5995927333719453
(*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y)))
accuracy4.742680019748916
(/.f64 x (fma.f64 y x y))
Samples
32.0ms127×0valid
30.0ms129×0invalid
Compiler

Compiled 163 to 36 computations (77.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-div: 17.0ms (35.7% of total)
ival-mult: 16.0ms (33.6% of total)
ival-add: 9.0ms (18.9% of total)
ival-sqrt: 3.0ms (6.3% of total)
ival-sub: 1.0ms (2.1% of total)
ival-neg: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
21.4MiB live, 21.4MiB allocated
Counts
18 → 81
Calls
Call 1
Inputs
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y))))
(*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y)))
(+.f64 y x)
(/.f64 x (fma.f64 y x y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x))
(*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)
#s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64))
#s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 (neg.f64 x) y))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x))
(*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)
#s(approx (/ x (+ (* y x) y)) (/.f64 x y))
(/.f64 x y)
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y)))
(/.f64 (*.f64 x x) (fma.f64 y x y))
(*.f64 x x)
(fma.f64 y x y)
Outputs
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
y
(+ x y)
(/ x y)
(* x (+ (* -1 (/ x y)) (/ 1 y)))
(* x (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
1
(+ 1 (* x (- (/ 1 y) 1)))
(* x (+ 1 (* x (- (/ (pow (sqrt -1) 2) y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ (pow (sqrt -1) 2) y))) (/ (pow (sqrt -1) 2) y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ (pow (sqrt -1) 2) y) 1))) (/ (pow (sqrt -1) 2) y))) (/ (pow (sqrt -1) 2) y)) 1))))
(* -1 (/ x y))
(* -1 x)
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y)))
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(pow x 2)
(+ y (* x y))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(* x (+ 1 (/ y x)))
(/ 1 y)
(- (/ 1 y) (/ 1 (* x y)))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))
(* (pow x 2) (- (/ 1 y) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* x (- (/ 1 y) 1))
(* x (- (+ (/ 1 x) (/ 1 y)) 1))
(/ (* x (pow (sqrt -1) 2)) y)
(* x (- (+ (/ 1 x) (/ (pow (sqrt -1) 2) y)) (/ (pow (sqrt -1) 2) (* x y))))
(* x (- (+ (/ 1 x) (+ (/ (pow (sqrt -1) 2) y) (/ (pow (sqrt -1) 2) (* (pow x 2) y)))) (+ (/ 1 (pow x 2)) (/ (pow (sqrt -1) 2) (* x y)))))
(* x (- (+ (/ 1 x) (+ (/ 1 (pow x 3)) (+ (/ (pow (sqrt -1) 2) y) (/ (pow (sqrt -1) 2) (* (pow x 2) y))))) (+ (/ 1 (pow x 2)) (+ (/ (pow (sqrt -1) 2) (* x y)) (/ (pow (sqrt -1) 2) (* (pow x 3) y))))))
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))))
(* x y)
(* x (+ y (/ y x)))
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y))
(* -1 (* x (- (* -1 (- (/ 1 y) 1)) (/ 1 x))))
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))) x)) (/ 1 y))))
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))) x)) (/ 1 y))) x)) (/ 1 y))))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ x (* y (+ 1 x)))
(/ (+ (* x (* y (+ 1 (* -1 x)))) (pow x 2)) y)
(/ (+ x (* y (+ 1 (* -1 x)))) y)
(/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (* (pow x 2) (pow (sqrt -1) 2)) (+ 1 x))) y)
(* y (+ 1 x))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(* y (+ 1 (/ x y)))
(* x (+ 1 (* -1 x)))
(+ (* x (+ 1 (* -1 x))) (/ (pow x 2) y))
(+ 1 (* -1 x))
(+ 1 (+ (* -1 x) (/ x y)))
(+ (/ x (+ 1 x)) (/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x))))
(* -1 (/ x (- (* -1 x) 1)))
(+ (* -1 (/ x (- (* -1 x) 1))) (* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (/ x (* y (- (* -1 x) 1))))
(+ (* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x)))) (/ x (+ 1 x)))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(* -1 (* y (- (* -1 x) 1)))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
y
@-inf
((* (/ x (+ 1 x)) (+ 1 (/ x y))) (* (+ y x) (/ x (+ (* y x) y))) (+ y x) (/ x (+ (* y x) y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/ (neg x) y) (neg x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ x y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (* x x) (+ (* y x) y)) (* x x) (+ (* y x) y))
2.0ms
y
@0
((* (/ x (+ 1 x)) (+ 1 (/ x y))) (* (+ y x) (/ x (+ (* y x) y))) (+ y x) (/ x (+ (* y x) y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/ (neg x) y) (neg x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ x y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (* x x) (+ (* y x) y)) (* x x) (+ (* y x) y))
2.0ms
y
@inf
((* (/ x (+ 1 x)) (+ 1 (/ x y))) (* (+ y x) (/ x (+ (* y x) y))) (+ y x) (/ x (+ (* y x) y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/ (neg x) y) (neg x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ x y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (* x x) (+ (* y x) y)) (* x x) (+ (* y x) y))
2.0ms
x
@-inf
((* (/ x (+ 1 x)) (+ 1 (/ x y))) (* (+ y x) (/ x (+ (* y x) y))) (+ y x) (/ x (+ (* y x) y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/ (neg x) y) (neg x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ x y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (* x x) (+ (* y x) y)) (* x x) (+ (* y x) y))
2.0ms
x
@inf
((* (/ x (+ 1 x)) (+ 1 (/ x y))) (* (+ y x) (/ x (+ (* y x) y))) (+ y x) (/ x (+ (* y x) y)) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (+ (* (- (/ 1 y) 1) x) 1) x) (+ (* (- (/ 1 y) 1) x) 1) (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/ (neg x) y) (neg x) (/ (* x (+ (/ x y) 1)) (+ x 1)) (* (/ x (+ (* y x) y)) x) (/ x (+ (* y x) y)) (/ x y) (/ (* x (+ (/ x y) 1)) (+ x 1)) (/ (* x x) (+ (* y x) y)) (* x x) (+ (* y x) y))

simplify140.0ms (2.1%)

Memory
12.5MiB live, 164.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02351135
17091027
22273953
37492949
08060912
Stop Event
iter limit
node limit
Counts
81 → 79
Calls
Call 1
Inputs
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
y
(+ x y)
(/ x y)
(* x (+ (* -1 (/ x y)) (/ 1 y)))
(* x (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(* x (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
1
(+ 1 (* x (- (/ 1 y) 1)))
(* x (+ 1 (* x (- (/ (pow (sqrt -1) 2) y) 1))))
(* x (+ 1 (* x (- (+ (* x (- 1 (/ (pow (sqrt -1) 2) y))) (/ (pow (sqrt -1) 2) y)) 1))))
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ (pow (sqrt -1) 2) y) 1))) (/ (pow (sqrt -1) 2) y))) (/ (pow (sqrt -1) 2) y)) 1))))
(* -1 (/ x y))
(* -1 x)
(/ (pow x 2) y)
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y)))
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(pow x 2)
(+ y (* x y))
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(* x (+ 1 (/ y x)))
(/ 1 y)
(- (/ 1 y) (/ 1 (* x y)))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))
(* (pow x 2) (- (/ 1 y) 1))
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(* x (- (/ 1 y) 1))
(* x (- (+ (/ 1 x) (/ 1 y)) 1))
(/ (* x (pow (sqrt -1) 2)) y)
(* x (- (+ (/ 1 x) (/ (pow (sqrt -1) 2) y)) (/ (pow (sqrt -1) 2) (* x y))))
(* x (- (+ (/ 1 x) (+ (/ (pow (sqrt -1) 2) y) (/ (pow (sqrt -1) 2) (* (pow x 2) y)))) (+ (/ 1 (pow x 2)) (/ (pow (sqrt -1) 2) (* x y)))))
(* x (- (+ (/ 1 x) (+ (/ 1 (pow x 3)) (+ (/ (pow (sqrt -1) 2) y) (/ (pow (sqrt -1) 2) (* (pow x 2) y))))) (+ (/ 1 (pow x 2)) (+ (/ (pow (sqrt -1) 2) (* x y)) (/ (pow (sqrt -1) 2) (* (pow x 3) y))))))
(* x (- (/ 1 y) (/ 1 (* x y))))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))))
(* x y)
(* x (+ y (/ y x)))
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y))
(* -1 (* x (- (* -1 (- (/ 1 y) 1)) (/ 1 x))))
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))) x)) (/ 1 y))))
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))) x)) (/ 1 y))) x)) (/ 1 y))))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y))))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(/ (pow x 2) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/ x (* y (+ 1 x)))
(/ (+ (* x (* y (+ 1 (* -1 x)))) (pow x 2)) y)
(/ (+ x (* y (+ 1 (* -1 x)))) y)
(/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (* (pow x 2) (pow (sqrt -1) 2)) (+ 1 x))) y)
(* y (+ 1 x))
(/ x (+ 1 x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(* y (+ 1 (/ x y)))
(* x (+ 1 (* -1 x)))
(+ (* x (+ 1 (* -1 x))) (/ (pow x 2) y))
(+ 1 (* -1 x))
(+ 1 (+ (* -1 x) (/ x y)))
(+ (/ x (+ 1 x)) (/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x))))
(* -1 (/ x (- (* -1 x) 1)))
(+ (* -1 (/ x (- (* -1 x) 1))) (* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (/ x (* y (- (* -1 x) 1))))
(+ (* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x)))) (/ x (+ 1 x)))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(* -1 (* y (- (* -1 x) 1)))
Outputs
x
(* x (+ 1 (* x (- (/ 1 y) 1))))
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(* x (+ 1 (* x (- (+ (* x (- 1 (/ 1 y))) (/ 1 y)) 1))))
(fma.f64 (fma.f64 (-.f64 x (/.f64 x y)) x (-.f64 (/.f64 x y) x)) x x)
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ 1 y) 1))) (/ 1 y))) (/ 1 y)) 1))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 x y) x) x (-.f64 x (/.f64 x y))) x (-.f64 (/.f64 x y) x)) x x)
y
(+ x y)
(+.f64 y x)
(/ x y)
(/.f64 x y)
(* x (+ (* -1 (/ x y)) (/ 1 y)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) y)
(* x (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(-.f64 (/.f64 x y) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) y) x))
(* x (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(fma.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) y) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* x (- (/ 1 y) 1)))
(-.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (/ (pow (sqrt -1) 2) y) 1))))
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (+ (* x (- 1 (/ (pow (sqrt -1) 2) y))) (/ (pow (sqrt -1) 2) y)) 1))))
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (+ (* x (- (+ 1 (* x (- (/ (pow (sqrt -1) 2) y) 1))) (/ (pow (sqrt -1) 2) y))) (/ (pow (sqrt -1) 2) y)) 1))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) x (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) x (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) x #s(literal 1 binary64)) x)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 x)
(neg.f64 x)
(/ (pow x 2) y)
(*.f64 (/.f64 x y) x)
(* (pow x 2) (+ (* -1 (/ x y)) (/ 1 y)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) y) x)
(* (pow x 2) (+ (* x (- (/ x y) (/ 1 y))) (/ 1 y)))
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) y)))
(* (pow x 2) (+ (* x (- (* x (+ (* -1 (/ x y)) (/ 1 y))) (/ 1 y))) (/ 1 y)))
(*.f64 (*.f64 x x) (fma.f64 (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) y) (/.f64 #s(literal 1 binary64) y)) x (/.f64 #s(literal 1 binary64) y)))
(pow x 2)
(*.f64 x x)
(+ y (* x y))
(fma.f64 y x y)
(* x (- (+ (/ 1 x) (/ 1 y)) (/ 1 (* x y))))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x #s(literal 1 binary64))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (/ 1 (* (pow x 2) y)))) (+ (/ 1 (* x y)) (/ 1 (pow x 2)))))
(fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x #s(literal 1 binary64))
(* x (- (+ (/ 1 x) (+ (/ 1 y) (+ (/ 1 (* (pow x 2) y)) (/ 1 (pow x 3))))) (+ (/ 1 (* x y)) (+ (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))))))
(fma.f64 (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) y) (/.f64 #s(literal 1 binary64) x)) x)) x #s(literal 1 binary64))
(* x (+ 1 (/ y x)))
(+.f64 y x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(- (/ 1 y) (/ 1 (* x y)))
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y)))
(-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y))
(- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y))))
(-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) y) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (*.f64 y x)))
(* (pow x 2) (- (/ 1 y) 1))
(*.f64 (-.f64 (/.f64 x y) x) x)
(* (pow x 2) (- (+ (/ 1 x) (/ 1 y)) 1))
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(* x (- (/ 1 y) 1))
(-.f64 (/.f64 x y) x)
(* x (- (+ (/ 1 x) (/ 1 y)) 1))
(-.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x)
(/ (* x (pow (sqrt -1) 2)) y)
(/.f64 (neg.f64 x) y)
(* x (- (+ (/ 1 x) (/ (pow (sqrt -1) 2) y)) (/ (pow (sqrt -1) 2) (* x y))))
(fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) y) x)) x #s(literal 1 binary64))
(* x (- (+ (/ 1 x) (+ (/ (pow (sqrt -1) 2) y) (/ (pow (sqrt -1) 2) (* (pow x 2) y)))) (+ (/ 1 (pow x 2)) (/ (pow (sqrt -1) 2) (* x y)))))
(fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) y) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) y)) x)) x #s(literal 1 binary64))
(* x (- (+ (/ 1 x) (+ (/ 1 (pow x 3)) (+ (/ (pow (sqrt -1) 2) y) (/ (pow (sqrt -1) 2) (* (pow x 2) y))))) (+ (/ 1 (pow x 2)) (+ (/ (pow (sqrt -1) 2) (* x y)) (/ (pow (sqrt -1) 2) (* (pow x 3) y))))))
(fma.f64 (-.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64)) y) (/.f64 #s(literal 1 binary64) x)) x)) x #s(literal 1 binary64))
(* x (- (/ 1 y) (/ 1 (* x y))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x)
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (/ 1 (* x y))))
(fma.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) y)) x) x (/.f64 x y))
(* x (- (+ (/ 1 y) (/ 1 (* (pow x 2) y))) (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) y)))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) y) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (*.f64 y x))) x)
(* x y)
(*.f64 y x)
(* x (+ y (/ y x)))
(fma.f64 y x y)
(* -1 (* x (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 y)))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x)) (/ 1 y))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (+ (* -1 (- (/ 1 y) 1)) (* -1 (/ (- (+ (* -1 (- (/ 1 y) 1)) (/ 1 (* x y))) (/ 1 x)) x))) x)) (/ 1 y))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) x) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (-.f64 (/.f64 y (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))
(+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y))
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x))
(+ (* -1 (/ (+ (* -1 (/ (- (/ 1 y) (/ 1 (* x y))) x)) (/ 1 y)) x)) (/ 1 y))
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) x)) x))
(* -1 (* x (- (* -1 (- (/ 1 y) 1)) (/ 1 x))))
(*.f64 (-.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))))
(neg.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64) (/.f64 x y)))
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))) x)) (/ 1 y))))
(neg.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x)) #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64) (/.f64 x y)))
(* -1 (* x (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y))) x)) (/ 1 y))) x)) (/ 1 y))))
(neg.f64 (fma.f64 (neg.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x)) x))) #s(literal 1 binary64) (/.f64 x y)))
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 y)) x)) (/ 1 y)) x)) (/ 1 y))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 y x y)
(/ (pow x 2) (* y (+ 1 x)))
(*.f64 (/.f64 x (fma.f64 y x y)) x)
(/ (+ (/ (* x y) (+ 1 x)) (/ (pow x 2) (+ 1 x))) y)
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 #s(literal 1 binary64) x))
(/ x (* y (+ 1 x)))
(/.f64 x (fma.f64 y x y))
(/ (+ (* x (* y (+ 1 (* -1 x)))) (pow x 2)) y)
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(/ (+ x (* y (+ 1 (* -1 x)))) y)
(-.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x)
(/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x)))
(*.f64 (neg.f64 x) (/.f64 x (fma.f64 y x y)))
(/ (+ (/ (* x y) (+ 1 x)) (/ (* (pow x 2) (pow (sqrt -1) 2)) (+ 1 x))) y)
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (+.f64 #s(literal 1 binary64) x))
(* y (+ 1 x))
(fma.f64 y x y)
(/ x (+ 1 x))
(/.f64 x (+.f64 #s(literal 1 binary64) x))
(+ (/ x (+ 1 x)) (/ (pow x 2) (* y (+ 1 x))))
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 #s(literal 1 binary64) x))
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* x (+ 1 (* -1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(+ (* x (+ 1 (* -1 x))) (/ (pow x 2) y))
(fma.f64 (-.f64 (/.f64 x y) x) x x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (+ (* -1 x) (/ x y)))
(-.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) x)
(+ (/ x (+ 1 x)) (/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x))))
(/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) (+.f64 #s(literal 1 binary64) x))
(* -1 (/ x (- (* -1 x) 1)))
(/.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(+ (* -1 (/ x (- (* -1 x) 1))) (* -1 (/ (pow x 2) (* y (- (* -1 x) 1)))))
(*.f64 (/.f64 x (-.f64 (neg.f64 x) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (/ x (* y (- (* -1 x) 1))))
(/.f64 (/.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 1 binary64))) y)
(+ (* -1 (/ (* (pow x 2) (pow (sqrt -1) 2)) (* y (+ 1 x)))) (/ x (+ 1 x)))
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 #s(literal 1 binary64) x))
(* -1 (/ (pow x 2) (* y (- (* -1 x) 1))))
(*.f64 (/.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 1 binary64))) (/.f64 x y))
(* -1 (* y (- (* -1 x) 1)))
(*.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y))

rewrite190.0ms (2.8%)

Memory
-28.4MiB live, 179.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046204
056204
1223200
21682193
08988182
Stop Event
iter limit
node limit
iter limit
Counts
18 → 214
Calls
Call 1
Inputs
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y))))
(*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y)))
(+.f64 y x)
(/.f64 x (fma.f64 y x y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x))
(*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)
#s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64))
#s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 (neg.f64 x) y))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x))
(*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x)
#s(approx (/ x (+ (* y x) y)) (/.f64 x y))
(/.f64 x y)
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y)))
(/.f64 (*.f64 x x) (fma.f64 y x y))
(*.f64 x x)
(fma.f64 y x y)
Outputs
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 y x)))
(*.f64 (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) x)) (/.f64 x y))
(*.f64 (/.f64 (*.f64 (+.f64 y x) x) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y))) (-.f64 (*.f64 y x) y))
(*.f64 (/.f64 (*.f64 (+.f64 y x) x) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 y x))
(*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y)))
(*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 y x) y))
(/.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 x (fma.f64 y x y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x (fma.f64 y x y)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 y (/.f64 x (fma.f64 y x y))) (*.f64 y (/.f64 x (fma.f64 y x y))) (-.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 y x y)) x) #s(literal 2 binary64)) (*.f64 (*.f64 y (/.f64 x (fma.f64 y x y))) (*.f64 (/.f64 x (fma.f64 y x y)) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 y x y)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x (fma.f64 y x y)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x (fma.f64 y x y)) y) (*.f64 (/.f64 x (fma.f64 y x y)) y) (-.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 y x y)) x) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 x (fma.f64 y x y)) y) (*.f64 (/.f64 x (fma.f64 y x y)) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 y x y)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 x (fma.f64 y x y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 y x y)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 y (/.f64 x (fma.f64 y x y))) (*.f64 y (/.f64 x (fma.f64 y x y)))) (*.f64 (*.f64 (/.f64 x (fma.f64 y x y)) x) (*.f64 y (/.f64 x (fma.f64 y x y)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 y x y)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x (fma.f64 y x y)) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 y x y)) x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 y x y)) y) (*.f64 (/.f64 x (fma.f64 y x y)) y)) (*.f64 (*.f64 (/.f64 x (fma.f64 y x y)) x) (*.f64 (/.f64 x (fma.f64 y x y)) y)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (/.f64 x (fma.f64 y x y)))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (fma.f64 y x y)))) (neg.f64 (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 (neg.f64 (*.f64 (/.f64 x (fma.f64 y x y)) (fma.f64 y y (*.f64 x x)))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (*.f64 (/.f64 x (fma.f64 y x y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y y (*.f64 x (-.f64 x y)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y x) x))) (neg.f64 (neg.f64 (fma.f64 y x y))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 y y (*.f64 x x)))) (neg.f64 (*.f64 (neg.f64 (fma.f64 y x y)) (-.f64 y x))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 y y (*.f64 x x)))) (neg.f64 (*.f64 (fma.f64 y x y) (-.f64 y x))))
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (*.f64 (neg.f64 (fma.f64 y x y)) (fma.f64 y y (*.f64 x (-.f64 x y))))))
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (*.f64 (fma.f64 y x y) (fma.f64 y y (*.f64 x (-.f64 x y))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y y (*.f64 x x)) x)) (neg.f64 (*.f64 (-.f64 y x) (neg.f64 (fma.f64 y x y)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y y (*.f64 x x)) x)) (neg.f64 (*.f64 (-.f64 y x) (fma.f64 y x y))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x)) (neg.f64 (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (neg.f64 (fma.f64 y x y)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) x)) (neg.f64 (*.f64 (fma.f64 y y (*.f64 x (-.f64 x y))) (fma.f64 y x y))))
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(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) y)) (*.f64 (-.f64 (*.f64 y x) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 y x) y) (-.f64 (*.f64 y x) y)))
(/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x y))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 y x) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (*.f64 y x) y))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) y))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(fma.f64 y x y)
(fma.f64 x y y)
(-.f64 (/.f64 (*.f64 y y) (fma.f64 y x y)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x y)))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 y x) y)))
(-.f64 y (*.f64 (neg.f64 y) x))
(-.f64 y (*.f64 y x))
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) y)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) y)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) y)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 y y (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) y)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (fma.f64 y x y) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 (*.f64 y x) y)))
(+.f64 (*.f64 y x) y)
(+.f64 y (*.f64 y x))

eval61.0ms (0.9%)

Memory
-16.3MiB live, 67.5MiB allocated
Compiler

Compiled 10 137 to 1 115 computations (89% saved)

prune17.0ms (0.3%)

Memory
1.4MiB live, 38.9MiB allocated
Pruning

17 alts after pruning (8 fresh and 9 done)

PrunedKeptTotal
New3004304
Fresh347
Picked145
Done156
Total30517322
Accuracy
100.0%
Counts
322 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
30.6%
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (neg.f64 x)) (fabs.f64 y)) (*.f64 (sqrt.f64 (neg.f64 x)) x) x) (+.f64 x #s(literal 1 binary64)))
86.0%
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
63.6%
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
99.9%
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
38.1%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y)))
49.4%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64))))
46.7%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))
20.4%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x))
43.2%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x))
44.6%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x))
9.8%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(approx (- 1 x) (neg.f64 x))) x))
38.9%
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x))
2.9%
#s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 (neg.f64 x) y))
43.3%
#s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 x y))
23.4%
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) x) (*.f64 (-.f64 y x) (neg.f64 (fma.f64 y x y)))))
45.1%
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 x y))))
53.1%
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y))))
Compiler

Compiled 1 098 to 396 computations (63.9% saved)

regimes41.0ms (0.6%)

Memory
5.5MiB live, 43.6MiB allocated
Counts
32 → 1
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(approx (- 1 x) (neg.f64 x))) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 x y))
#s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 (neg.f64 x) y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x))
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y))))
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 x y))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (fma.f64 (-.f64 (/.f64 x y) x) x x)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (fma.f64 #s(approx (- (/ 1 y) 1) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y)))
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y))))
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) x) y))
(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal 1 binary64) x)) x)
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) x) (*.f64 (-.f64 y x) (neg.f64 (fma.f64 y x y)))))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (neg.f64 x)) (fabs.f64 y)) (*.f64 (sqrt.f64 (neg.f64 x)) x) x) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 x (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (/.f64 (/.f64 (neg.f64 x) y) y)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) x x) (*.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 x) y) x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (/.f64 (neg.f64 x) y) x) (*.f64 (/.f64 (neg.f64 x) y) x) (*.f64 x (*.f64 (/.f64 (neg.f64 x) y) x))))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 x (-.f64 x (*.f64 (/.f64 x y) x)) (pow.f64 (*.f64 (/.f64 x y) x) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) x)))
Outputs
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
Calls

3 calls:

23.0ms
x
9.0ms
y
8.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes20.0ms (0.3%)

Memory
18.5MiB live, 18.5MiB allocated
Counts
22 → 3
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(approx (- 1 x) (neg.f64 x))) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 x y))
#s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 (neg.f64 x) y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x))
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y))))
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 x y))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (fma.f64 (-.f64 (/.f64 x y) x) x x)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (fma.f64 #s(approx (- (/ 1 y) 1) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y)))
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y))))
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) x) y))
(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
Outputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) x) y))
(/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) x) y))
Calls

3 calls:

6.0ms
y
6.0ms
x
6.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
99.8%3x
95.4%3y
99.9%3(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes13.0ms (0.2%)

Memory
11.9MiB live, 11.9MiB allocated
Counts
21 → 3
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(approx (- 1 x) (neg.f64 x))) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 x y))
#s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 (neg.f64 x) y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x))
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y))))
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 x y))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (fma.f64 (-.f64 (/.f64 x y) x) x x)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (/.f64 x (fma.f64 y x y)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (fma.f64 #s(approx (- (/ 1 y) 1) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 x x) (fma.f64 y x y)))
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) (/.f64 x (fma.f64 y x y))))
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (/.f64 (*.f64 x (+.f64 y x)) (fma.f64 y x y)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x #s(literal 1 binary64)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) x) y))
(/.f64 #s(approx (* x (+ (/ x y) 1)) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(approx (+ (* (/ x y) x) x) (*.f64 (/.f64 x y) x)) (+.f64 x #s(literal 1 binary64)))
Outputs
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (fma.f64 (-.f64 (/.f64 x y) x) x x)))
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y))))
Calls

2 calls:

6.0ms
x
5.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
98.9%3x
99.1%4(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes33.0ms (0.5%)

Memory
-18.9MiB live, 20.0MiB allocated
Counts
11 → 4
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(approx (- 1 x) (neg.f64 x))) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 x y))
#s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 (neg.f64 x) y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x))
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y))))
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 x y))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 (/.f64 x y) x)) x))
Outputs
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64))))
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 x y))))
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y))))
Calls

3 calls:

24.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
4.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
72.8%5y
89.2%3(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
92.1%4x
Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes4.0ms (0.1%)

Memory
8.6MiB live, 8.6MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(approx (- 1 x) (neg.f64 x))) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 x y))
#s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 (neg.f64 x) y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x))
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y))))
Outputs
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64))))
#s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y))))
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
89.4%3x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory
14.3MiB live, 14.3MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(approx (- 1 x) (neg.f64 x))) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 x y))
#s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 (neg.f64 x) y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (/ x (+ (* y x) y)) (/.f64 x y)) x))
Outputs
#s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 x y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64))))
#s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 x y))
Calls

2 calls:

3.0ms
x
3.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
88.9%3(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
80.2%3x
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes9.0ms (0.1%)

Memory
-34.0MiB live, 7.0MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(approx (- 1 x) (neg.f64 x))) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 x y))
#s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 (neg.f64 x) y))
Outputs
#s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 x y))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 x y))
Calls

2 calls:

6.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
2.0ms
x
Results
AccuracySegmentsBranch
78.5%3x
78.5%3(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes5.0ms (0.1%)

Memory
10.3MiB live, 10.2MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(approx (- 1 x) (neg.f64 x))) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x))
Outputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x))
Calls

3 calls:

2.0ms
y
2.0ms
x
2.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
44.6%1y
44.6%1x
44.6%1(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes4.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(approx (- 1 x) (neg.f64 x))) x))
Outputs
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(approx (- 1 x) (neg.f64 x))) x))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x))
Calls

3 calls:

1.0ms
x
1.0ms
y
1.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
38.9%1y
44.9%2(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
44.4%3x
Compiler

Compiled 13 to 12 computations (7.7% saved)

regimes2.0ms (0%)

Memory
6.3MiB live, 6.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
x
1.0ms
(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
38.9%1x
38.9%1(/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.284982892830836e+166
5.49978737600799e+168
0.0ms
-32166290980159428.0
-6574179406815253.0
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch36.0ms (0.5%)

Memory
-16.6MiB live, 57.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
1.278789796655168e-11
627326764601.5636
15.0ms
-28.02744220165068
-0.00027448132696988783
Samples
18.0ms320×0valid
Compiler

Compiled 1 194 to 753 computations (36.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 5.0ms (42.2% of total)
ival-add: 4.0ms (33.8% of total)
ival-mult: 2.0ms (16.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch40.0ms (0.6%)

Memory
-0.4MiB live, 37.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
1.278789796655168e-11
627326764601.5636
14.0ms
1.2545882209632883e-169
4.579374876715626e-159
13.0ms
-1.6827580493147445e+53
-1.0882477516832455e+44
Samples
22.0ms368×0valid
Compiler

Compiled 1 444 to 977 computations (32.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 5.0ms (43.5% of total)
ival-add: 3.0ms (26.1% of total)
ival-mult: 2.0ms (17.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch8.0ms (0.1%)

Memory
8.0MiB live, 8.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
6.0ms
6.8385480541394075e-12
1.278789796655168e-11
1.0ms
-1.6827580493147445e+53
-1.0882477516832455e+44
Samples
3.0ms64×0valid
Compiler

Compiled 586 to 416 computations (29% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (50.9% of total)
ival-add: 1.0ms (50.9% of total)
ival-true: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0369994316346711
10015284.444034496
0.0ms
-238027089988.9349
-0.0002745566876538435
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
6.838548054092642e-12
0.9999999929090703
0.0ms
-238027089988.9349
-0.0002745566876538435
Compiler

Compiled 14 to 13 computations (7.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-6574179406815253.0
-238027089988.9349
Compiler

Compiled 14 to 13 computations (7.1% saved)

simplify236.0ms (3.5%)

Memory
-16.4MiB live, 31.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 15 (0.0ms)

IterNodesCost
0109571
1175571
2281571
3591571
41611571
53662571
64955571
75150571
85154571
95154571
105154571
115154571
125198571
135203571
145208565
155216559
165253559
175379559
185478559
195478559
205478559
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -20000000000000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) x) y)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 50000000000000001930449714370975720139701025745675219477211914784288695508246371335098695877271585171777875451431577515195663644768354254411583398686815316200363393024 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) x) y))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)))) (if (<=.f64 x #s(literal 7566047373982433/9007199254740992 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) #s(approx (* (+ (* (- (/ 1 y) 1) x) 1) x) (fma.f64 (-.f64 (/.f64 x y) x) x x))) #s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 x #s(literal -109999999999999997819273168697414265740460032 binary64)) #s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)))) (if (<=.f64 x #s(literal 3824193548280723/16996415770136547158066822609678996074546979767265021542382212422412913915547271767653200072487337141404458543559888032491090538804886631661104639320530795262202600666732583009015300096 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 x y)))) #s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)))))))
(if (<=.f64 x #s(literal -109999999999999997819273168697414265740460032 binary64)) #s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y)))) (if (<=.f64 x #s(literal 7737125245533627/618970019642690137449562112 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(approx (* (/ x (+ 1 x)) (+ 1 (/ x y))) (*.f64 (+.f64 y x) #s(approx (/ x (+ (* y x) y)) (/.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -200000000000 binary64)) #s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 x y))))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -200000000000 binary64)) #s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 x y)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 6189700196426901/618970019642690137449562112 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x)) #s(approx (/ (* x (+ (* (sqrt (neg x)) (sqrt (/ (/ (neg x) y) y))) 1)) (+ x 1)) (/.f64 x y))))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) (-.f64 #s(literal 1 binary64) x)) x))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -5000000000000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(approx (- 1 x) (neg.f64 x))) x)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x)))
#s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (*.f64 #s(approx (+ (* (- (/ 1 y) 1) x) 1) #s(literal 1 binary64)) x))
Outputs
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal -20000000000000000 binary64)) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) x) y)) (if (<=.f64 (/.f64 (*.f64 x (+.f64 (/.f64 x y) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) #s(literal 50000000000000001930449714370975720139701025745675219477211914784288695508246371335098695877271585171777875451431577515195663644768354254411583398686815316200363393024 binary64)) (/.f64 (fma.f64 (/.f64 x y) x x) (+.f64 x #s(literal 1 binary64))) #s(approx (/ (* x (+ (/ x y) 1)) (+ x 1)) (/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) x) y))))
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soundness1.6s (24.4%)

Memory
18.9MiB live, 1 012.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039243
056243
1215243
21530243
08150225
0216965
1662915
21816861
36179859
08371831
046204
056204
1223200
21682193
08988182
090321
1253304
2674291
33720289
08258273
0829
01329
15529
237329
3392229
0866627
02351135
17091027
22273953
37492949
08060912
02501107
1759944
22376887
08407848
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 1 139 to 434 computations (61.9% saved)

preprocess65.0ms (1%)

Memory
-1.7MiB live, 111.4MiB allocated
Compiler

Compiled 1 190 to 256 computations (78.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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