Statistics.Sample:$swelfordMean from math-functions-0.1.5.2

Time bar (total: 3.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze38.0ms (1%)

Memory
-26.7MiB live, 55.2MiB 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
0%0%99.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
87.5%87.4%12.5%0.1%0%0%0%10
87.5%87.4%12.5%0.1%0%0%0%11
87.5%87.4%12.5%0.1%0%0%0%12
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample828.0ms (23%)

Memory
-6.4MiB live, 750.3MiB allocated
Samples
438.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 192.0ms
ival-div: 81.0ms (42.2% of total)
ival-sub: 59.0ms (30.7% of total)
ival-add: 43.0ms (22.4% of total)
ival-true: 6.0ms (3.1% of total)
ival-assert: 3.0ms (1.6% of total)
Bogosity

explain87.0ms (2.4%)

Memory
6.5MiB live, 81.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 y x)
00-0-(/.f64 (-.f64 y x) z)
00-0-y
00-0-(+.f64 x (/.f64 (-.f64 y x) z))
00-0-z
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
34.0ms512×0valid
Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-sub: 14.0ms (67% of total)
ival-div: 4.0ms (19.2% of total)
ival-add: 2.0ms (9.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess127.0ms (3.5%)

Memory
32.8MiB live, 111.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02772
17863
222963
368263
4168963
5309163
6349563
7369463
8381763
9386563
10386563
067
097
1157
2267
3457
4887
51587
63507
76367
89057
99867
1010347
1110737
010737
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (/.f64 (-.f64 y x) z) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 x (/.f64 (-.f64 y x) z))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify30.0ms (0.8%)

Memory
-14.3MiB live, 23.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 y x)
cost-diff0
(/.f64 (-.f64 y x) z)
cost-diff0
(+.f64 x (/.f64 (-.f64 y x) z))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
0918
11518
22618
34518
48818
515818
635018
763618
890518
998618
10103418
11107318
0107318
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
x
(/.f64 (-.f64 y x) z)
(-.f64 y x)
y
z
Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (/.f64 (-.f64 y x) z) x)
x
(/.f64 (-.f64 y x) z)
(-.f64 y x)
y
z

localize19.0ms (0.5%)

Memory
1.2MiB live, 38.0MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 y x)
accuracy0.00390625
(+.f64 x (/.f64 (-.f64 y x) z))
accuracy0.0078125
(/.f64 (-.f64 y x) z)
Samples
14.0ms256×0valid
Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 4.0ms (55.9% of total)
ival-div: 2.0ms (27.9% of total)
ival-add: 1.0ms (14% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.2%)

Memory
20.6MiB live, 20.6MiB allocated
Counts
3 → 27
Calls
Call 1
Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(/.f64 (-.f64 y x) z)
(-.f64 y x)
Outputs
(/ y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
y
(+ y (* -1 x))
(* x (- 1 (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* -1 (/ x z))
(* x (- (/ y (* x z)) (/ 1 z)))
(* -1 x)
(* x (- (/ y x) 1))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(- x (/ x z))
(- (+ x (/ y z)) (/ x z))
(- y x)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ 1 (* -1 (/ x y))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (/ x y) 1)))
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
x
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@0
((+ x (/ (- y x) z)) (/ (- y x) z) (- y x))
1.0ms
x
@inf
((+ x (/ (- y x) z)) (/ (- y x) z) (- y x))
1.0ms
x
@-inf
((+ x (/ (- y x) z)) (/ (- y x) z) (- y x))
1.0ms
x
@0
((+ x (/ (- y x) z)) (/ (- y x) z) (- y x))
1.0ms
y
@inf
((+ x (/ (- y x) z)) (/ (- y x) z) (- y x))

simplify144.0ms (4%)

Memory
-22.1MiB live, 141.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071173
1198125
2553125
31585125
43532125
55029125
66483125
76757125
86857125
96857125
08119124
Stop Event
iter limit
node limit
Counts
27 → 25
Calls
Call 1
Inputs
(/ y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
y
(+ y (* -1 x))
(* x (- 1 (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* -1 (/ x z))
(* x (- (/ y (* x z)) (/ 1 z)))
(* -1 x)
(* x (- (/ y x) 1))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(- x (/ x z))
(- (+ x (/ y z)) (/ x z))
(- y x)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ 1 (* -1 (/ x y))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (/ x y) 1)))
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
x
Outputs
(/ y z)
(/.f64 y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(-.f64 x (/.f64 (-.f64 x y) z))
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
y
(+ y (* -1 x))
(-.f64 y x)
(* x (- 1 (/ 1 z)))
(-.f64 x (/.f64 x z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(-.f64 x (/.f64 (-.f64 x y) z))
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* x (- (/ y (* x z)) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* -1 (* x (- (/ 1 z) 1)))
(-.f64 x (/.f64 x z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(-.f64 x (/.f64 (-.f64 x y) z))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(- x (/ x z))
(-.f64 x (/.f64 x z))
(- (+ x (/ y z)) (/ x z))
(-.f64 x (/.f64 (-.f64 x y) z))
(- y x)
(-.f64 y x)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(-.f64 x (/.f64 (-.f64 x y) z))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(-.f64 x (/.f64 (-.f64 x y) z))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- (+ y (* x z)) x) z)
(/.f64 (fma.f64 z x (-.f64 y x)) z)
x

rewrite173.0ms (4.8%)

Memory
11.4MiB live, 206.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
0915
14615
240815
3540615
0825015
Stop Event
iter limit
node limit
iter limit
Counts
3 → 338
Calls
Call 1
Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(/.f64 (-.f64 y x) z)
(-.f64 y x)
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z)) #s(literal 2 binary64)))) (fma.f64 x x (*.f64 (/.f64 (-.f64 x y) z) (-.f64 (/.f64 (-.f64 y x) z) x))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z)) (-.f64 (*.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)))) (+.f64 (/.f64 (-.f64 y x) z) x))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64)))) (fma.f64 (/.f64 (-.f64 y x) z) (+.f64 (/.f64 (-.f64 y x) z) x) (*.f64 x x)))
(*.f64 (-.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (-.f64 (/.f64 (-.f64 y x) z) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 x (/.f64 (-.f64 y x) z)) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64))))
(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64))) (pow.f64 (-.f64 x (/.f64 (-.f64 y x) z)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 y x) z) x))
(*.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (*.f64 x x)) (/.f64 (+.f64 (/.f64 (-.f64 y x) z) x) (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (*.f64 x x))))
(*.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (*.f64 x x)) (*.f64 (+.f64 (/.f64 (-.f64 y x) z) x) (pow.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64))) (pow.f64 (neg.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (+.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (-.f64 x (/.f64 (-.f64 y x) z))))
(*.f64 (+.f64 (/.f64 (-.f64 y x) z) x) (*.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (pow.f64 (-.f64 x (/.f64 (-.f64 y x) z)) #s(literal -1 binary64))))
(pow.f64 (/.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (-.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (+.f64 (/.f64 (-.f64 y x) z) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 (-.f64 y x) z) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -4 binary64))) (pow.f64 (-.f64 x (/.f64 (-.f64 y x) z)) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -6 binary64))) (pow.f64 (-.f64 x (/.f64 (-.f64 y x) z)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -6 binary64))) (pow.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -6 binary64))) (pow.f64 (*.f64 (/.f64 (-.f64 y x) z) x) #s(literal 3 binary64))))
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 x (/.f64 (-.f64 y x) z)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 (/.f64 (-.f64 y x) z) x) (/.f64 (-.f64 y x) z) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 y z) x) #s(literal 2 binary64)) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (+.f64 (+.f64 (/.f64 y z) x) (/.f64 x z)))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (/.f64 (-.f64 y x) z)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (-.f64 y x) z))) #s(literal 2 binary64))) (fma.f64 x (/.f64 x (-.f64 x (/.f64 (-.f64 y x) z))) (/.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (-.f64 y x) z)))))
(/.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 x z) x) #s(literal 2 binary64))) (+.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 y z) x) #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (/.f64 y z) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 y z) x) (/.f64 x z)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (/.f64 (-.f64 y x) z)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (-.f64 y x) z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (/.f64 (-.f64 y x) z)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (-.f64 y x) z))) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (-.f64 x (/.f64 (-.f64 y x) z)))) (/.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (-.f64 x (/.f64 (-.f64 y x) z)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 x z) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 y z) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 (/.f64 x z) x) #s(literal 2 binary64)) (*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (-.f64 y x) z) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (/.f64 (-.f64 y x) z))) (*.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)))) (pow.f64 (-.f64 x (/.f64 (-.f64 y x) z)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 z (-.f64 y x)) #s(literal -4 binary64))) (*.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (fma.f64 x x (pow.f64 (/.f64 (-.f64 y x) z) #s(literal 2 binary64)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (+.f64 y x) x (*.f64 y y)))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 y x)) (*.f64 (+.f64 y x) (*.f64 x x))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (*.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 y x) (fma.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) (+.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 y x))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 (neg.f64 x) y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 y x) x (*.f64 y y)))
(neg.f64 (-.f64 x y))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (+.f64 y x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y)))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 y x) x) (-.f64 (*.f64 (+.f64 y x) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y)))))
(fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y)) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x)))))
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 (neg.f64 x) x (*.f64 y y))) (-.f64 y x) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x)))))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y)))))
(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 y x) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y)))))
(fma.f64 (*.f64 y y) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x)))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y)))))
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 (+.f64 y x) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y)))))
(fma.f64 y (/.f64 y (+.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x)))))
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 x #s(literal -1 binary64) y)
(-.f64 (+.f64 y #s(literal 0 binary64)) x)
(-.f64 (*.f64 y (/.f64 y (+.f64 y x))) (*.f64 x (/.f64 x (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))
(-.f64 #s(literal 0 binary64) (-.f64 x y))
(-.f64 y x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64)))
(+.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) y))
(+.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) (neg.f64 x)))
(+.f64 (neg.f64 (neg.f64 y)) (neg.f64 x))
(+.f64 (*.f64 y (/.f64 y (+.f64 y x))) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y)))))
(+.f64 (neg.f64 x) y)
(+.f64 y (neg.f64 x))

eval55.0ms (1.5%)

Memory
1.8MiB live, 91.5MiB allocated
Compiler

Compiled 7 058 to 1 079 computations (84.7% saved)

prune7.0ms (0.2%)

Memory
-13.8MiB live, 23.7MiB allocated
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3434347
Fresh000
Picked011
Done000
Total3435348
Accuracy
100.0%
Counts
348 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 x (/.f64 (-.f64 y x) z))
99.8%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x))))
61.8%
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
39.4%
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
64.2%
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
Compiler

Compiled 53 to 40 computations (24.5% saved)

simplify41.0ms (1.1%)

Memory
-0.3MiB live, 36.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 y x)
cost-diff0
(/.f64 z (-.f64 y x))
cost-diff0
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x)))
cost-diff0
(-.f64 y x)
cost-diff0
(/.f64 (-.f64 y x) z)
cost-diff0
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
cost-diff0
(/.f64 y z)
cost-diff0
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
cost-diff0
(/.f64 x z)
cost-diff0
(-.f64 x (/.f64 x z))
cost-diff0
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01891
02689
13789
26187
311987
424587
541987
666787
797287
8126287
9138787
10145087
11146487
12147687
0147687
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
(-.f64 x (/.f64 x z))
x
(/.f64 x z)
z
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
(/.f64 y z)
y
z
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
(/.f64 (-.f64 y x) z)
(-.f64 y x)
y
x
z
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x))))
x
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x)))
#s(literal 1 binary64)
(/.f64 z (-.f64 y x))
z
(-.f64 y x)
y
Outputs
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
(-.f64 x (/.f64 x z))
x
(/.f64 x z)
z
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
(/.f64 y z)
y
z
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
(/.f64 (-.f64 y x) z)
(-.f64 y x)
y
x
z
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x))))
(-.f64 x (/.f64 (-.f64 x y) z))
x
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x)))
(/.f64 (-.f64 y x) z)
#s(literal 1 binary64)
(/.f64 z (-.f64 y x))
z
(-.f64 y x)
y

localize40.0ms (1.1%)

Memory
-20.3MiB live, 67.5MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 y x)
accuracy0.00390625
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x))))
accuracy0.0078125
(/.f64 z (-.f64 y x))
accuracy0.40295781428671634
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x)))
accuracy0.0
(-.f64 y x)
accuracy0.0078125
(/.f64 (-.f64 y x) z)
accuracy24.456401414186054
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
accuracy0.0
(/.f64 y z)
accuracy38.78168279564054
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
accuracy0.0
(/.f64 x z)
accuracy0.0
(-.f64 x (/.f64 x z))
accuracy22.935328234440505
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
Samples
29.0ms256×0valid
Compiler

Compiled 168 to 33 computations (80.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 11.0ms (70.6% of total)
ival-sub: 3.0ms (19.2% of total)
ival-add: 2.0ms (12.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.3%)

Memory
23.6MiB live, 23.6MiB allocated
Counts
11 → 51
Calls
Call 1
Inputs
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
(-.f64 x (/.f64 x z))
(/.f64 x z)
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
(/.f64 y z)
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
(/.f64 (-.f64 y x) z)
(-.f64 y x)
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x))))
(/.f64 z (-.f64 y x))
Outputs
(/ y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(* x (- 1 (/ 1 z)))
(/ x z)
(+ (* -1 (/ x z)) (/ y z))
y
(+ y (* -1 x))
(/ z y)
(+ (/ z y) (/ (* x z) (pow y 2)))
(+ (* x (- (/ (* x z) (pow y 3)) (* -1 (/ z (pow y 2))))) (/ z y))
(+ (* x (- (* x (- (/ (* x z) (pow y 4)) (* -1 (/ z (pow y 3))))) (* -1 (/ z (pow y 2))))) (/ z y))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* -1 (/ x z))
(* x (- (/ y (* x z)) (/ 1 z)))
(* -1 x)
(* x (- (/ y x) 1))
(* -1 (/ z x))
(/ (+ (* -1 z) (* -1 (/ (* y z) x))) x)
(/ (- (+ (* -1 z) (* -1 (/ (* (pow y 2) z) (pow x 2)))) (/ (* y z) x)) x)
(/ (- (+ (* -1 z) (* -1 (/ (* (pow y 3) z) (pow x 3)))) (+ (/ (* y z) x) (/ (* (pow y 2) z) (pow x 2)))) x)
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (/ (+ z (/ (* y z) x)) x))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (* (pow y 2) z) x)) (* y z)) x))) x))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) z) x) (* -1 (* (pow y 2) z))) x)) (* y z)) x))) x))
(- x (/ x z))
(- (+ x (/ y z)) (/ x z))
(- y x)
(+ (* -1 (/ z x)) (* -1 (/ (* y z) (pow x 2))))
(+ (* -1 (/ z x)) (* y (- (* -1 (/ (* y z) (pow x 3))) (/ z (pow x 2)))))
(+ (* -1 (/ z x)) (* y (- (* y (- (* -1 (/ (* y z) (pow x 4))) (/ z (pow x 3)))) (/ z (pow x 2)))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ 1 (* -1 (/ x y))))
(/ (+ z (/ (* x z) y)) y)
(/ (- (+ z (/ (* (pow x 2) z) (pow y 2))) (* -1 (/ (* x z) y))) y)
(/ (- (+ z (/ (* (pow x 3) z) (pow y 3))) (+ (* -1 (/ (* x z) y)) (* -1 (/ (* (pow x 2) z) (pow y 2))))) y)
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (/ x y) 1)))
(* -1 (/ (+ (* -1 z) (* -1 (/ (* x z) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* x z) (/ (* (pow x 2) z) y)) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow x 2) z)) (* -1 (/ (* (pow x 3) z) y))) y)) (* x z)) y))) y))
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (* x z) x) z)
(/ z (- y x))
x
(+ x (* -1 (/ x z)))
Calls

9 calls:

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

simplify131.0ms (3.6%)

Memory
-13.0MiB live, 175.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0197552
1566498
21626456
35853442
08592413
Stop Event
iter limit
node limit
Counts
51 → 49
Calls
Call 1
Inputs
(/ y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(* x (- 1 (/ 1 z)))
(/ x z)
(+ (* -1 (/ x z)) (/ y z))
y
(+ y (* -1 x))
(/ z y)
(+ (/ z y) (/ (* x z) (pow y 2)))
(+ (* x (- (/ (* x z) (pow y 3)) (* -1 (/ z (pow y 2))))) (/ z y))
(+ (* x (- (* x (- (/ (* x z) (pow y 4)) (* -1 (/ z (pow y 3))))) (* -1 (/ z (pow y 2))))) (/ z y))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* -1 (/ x z))
(* x (- (/ y (* x z)) (/ 1 z)))
(* -1 x)
(* x (- (/ y x) 1))
(* -1 (/ z x))
(/ (+ (* -1 z) (* -1 (/ (* y z) x))) x)
(/ (- (+ (* -1 z) (* -1 (/ (* (pow y 2) z) (pow x 2)))) (/ (* y z) x)) x)
(/ (- (+ (* -1 z) (* -1 (/ (* (pow y 3) z) (pow x 3)))) (+ (/ (* y z) x) (/ (* (pow y 2) z) (pow x 2)))) x)
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (/ (+ z (/ (* y z) x)) x))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (* (pow y 2) z) x)) (* y z)) x))) x))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) z) x) (* -1 (* (pow y 2) z))) x)) (* y z)) x))) x))
(- x (/ x z))
(- (+ x (/ y z)) (/ x z))
(- y x)
(+ (* -1 (/ z x)) (* -1 (/ (* y z) (pow x 2))))
(+ (* -1 (/ z x)) (* y (- (* -1 (/ (* y z) (pow x 3))) (/ z (pow x 2)))))
(+ (* -1 (/ z x)) (* y (- (* y (- (* -1 (/ (* y z) (pow x 4))) (/ z (pow x 3)))) (/ z (pow x 2)))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ 1 (* -1 (/ x y))))
(/ (+ z (/ (* x z) y)) y)
(/ (- (+ z (/ (* (pow x 2) z) (pow y 2))) (* -1 (/ (* x z) y))) y)
(/ (- (+ z (/ (* (pow x 3) z) (pow y 3))) (+ (* -1 (/ (* x z) y)) (* -1 (/ (* (pow x 2) z) (pow y 2))))) y)
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (/ x y) 1)))
(* -1 (/ (+ (* -1 z) (* -1 (/ (* x z) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* x z) (/ (* (pow x 2) z) y)) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow x 2) z)) (* -1 (/ (* (pow x 3) z) y))) y)) (* x z)) y))) y))
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (* x z) x) z)
(/ z (- y x))
x
(+ x (* -1 (/ x z)))
Outputs
(/ y z)
(/.f64 y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(* x (- 1 (/ 1 z)))
(-.f64 x (/.f64 x z))
(/ x z)
(/.f64 x z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
y
(+ y (* -1 x))
(-.f64 y x)
(/ z y)
(/.f64 z y)
(+ (/ z y) (/ (* x z) (pow y 2)))
(/.f64 (fma.f64 (/.f64 x y) z z) y)
(+ (* x (- (/ (* x z) (pow y 3)) (* -1 (/ z (pow y 2))))) (/ z y))
(/.f64 (fma.f64 x (/.f64 (fma.f64 (/.f64 x y) z z) y) z) y)
(+ (* x (- (* x (- (/ (* x z) (pow y 4)) (* -1 (/ z (pow y 3))))) (* -1 (/ z (pow y 2))))) (/ z y))
(fma.f64 (*.f64 x x) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) z (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (/.f64 (fma.f64 (/.f64 x y) z z) y))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 (/.f64 (-.f64 y x) z) x)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* x (- (/ y (* x z)) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* -1 (/ z x))
(/.f64 (neg.f64 z) x)
(/ (+ (* -1 z) (* -1 (/ (* y z) x))) x)
(*.f64 (/.f64 z x) (-.f64 #s(literal -1 binary64) (/.f64 y x)))
(/ (- (+ (* -1 z) (* -1 (/ (* (pow y 2) z) (pow x 2)))) (/ (* y z) x)) x)
(/.f64 (fma.f64 (/.f64 z x) (fma.f64 (/.f64 y x) y y) z) (neg.f64 x))
(/ (- (+ (* -1 z) (* -1 (/ (* (pow y 3) z) (pow x 3)))) (+ (/ (* y z) x) (/ (* (pow y 2) z) (pow x 2)))) x)
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) z (fma.f64 (/.f64 z x) (fma.f64 (/.f64 y x) y y) z))) x)
(* -1 (* x (- (/ 1 z) 1)))
(-.f64 x (/.f64 x z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(+.f64 (/.f64 (-.f64 y x) z) x)
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (/ (+ z (/ (* y z) x)) x))
(*.f64 (/.f64 z x) (-.f64 #s(literal -1 binary64) (/.f64 y x)))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (* (pow y 2) z) x)) (* y z)) x))) x))
(/.f64 (fma.f64 (/.f64 z x) (fma.f64 (/.f64 y x) y y) z) (neg.f64 x))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) z) x) (* -1 (* (pow y 2) z))) x)) (* y z)) x))) x))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) z (fma.f64 (/.f64 z x) (fma.f64 (/.f64 y x) y y) z))) x)
(- x (/ x z))
(-.f64 x (/.f64 x z))
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(- y x)
(-.f64 y x)
(+ (* -1 (/ z x)) (* -1 (/ (* y z) (pow x 2))))
(*.f64 (/.f64 z x) (-.f64 #s(literal -1 binary64) (/.f64 y x)))
(+ (* -1 (/ z x)) (* y (- (* -1 (/ (* y z) (pow x 3))) (/ z (pow x 2)))))
(/.f64 (fma.f64 (/.f64 z x) (fma.f64 (/.f64 y x) y y) z) (neg.f64 x))
(+ (* -1 (/ z x)) (* y (- (* y (- (* -1 (/ (* y z) (pow x 4))) (/ z (pow x 3)))) (/ z (pow x 2)))))
(fma.f64 (neg.f64 (*.f64 y (fma.f64 (/.f64 z (pow.f64 x #s(literal 4 binary64))) y (/.f64 z (pow.f64 x #s(literal 3 binary64)))))) y (*.f64 (/.f64 z x) (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 (/.f64 (-.f64 y x) z) x)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(/ (+ z (/ (* x z) y)) y)
(/.f64 (fma.f64 (/.f64 x y) z z) y)
(/ (- (+ z (/ (* (pow x 2) z) (pow y 2))) (* -1 (/ (* x z) y))) y)
(/.f64 (fma.f64 x (/.f64 (fma.f64 (/.f64 x y) z z) y) z) y)
(/ (- (+ z (/ (* (pow x 3) z) (pow y 3))) (+ (* -1 (/ (* x z) y)) (* -1 (/ (* (pow x 2) z) (pow y 2))))) y)
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) z (fma.f64 x (/.f64 (fma.f64 (/.f64 x y) z z) y) z)) y)
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(+.f64 (/.f64 (-.f64 y x) z) x)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (/ (+ (* -1 z) (* -1 (/ (* x z) y))) y))
(/.f64 (fma.f64 (/.f64 x y) z z) y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* x z) (/ (* (pow x 2) z) y)) y))) y))
(/.f64 (fma.f64 x (/.f64 (fma.f64 (/.f64 x y) z z) y) z) y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow x 2) z)) (* -1 (/ (* (pow x 3) z) y))) y)) (* x z)) y))) y))
(/.f64 (+.f64 (/.f64 (fma.f64 z x (/.f64 (*.f64 x (*.f64 x (fma.f64 (/.f64 x y) z z))) y)) y) z) y)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- (+ y (* x z)) x) z)
(-.f64 x (/.f64 (-.f64 x y) z))
(/ (- (* x z) x) z)
(-.f64 x (/.f64 x z))
(/ z (- y x))
(/.f64 z (-.f64 y x))
x
(+ x (* -1 (/ x z)))
(-.f64 x (/.f64 x z))

rewrite177.0ms (4.9%)

Memory
-1.0MiB live, 286.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01877
02673
110473
282173
0885473
Stop Event
iter limit
node limit
iter limit
Counts
11 → 674
Calls
Call 1
Inputs
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
(-.f64 x (/.f64 x z))
(/.f64 x z)
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
(/.f64 y z)
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
(/.f64 (-.f64 y x) z)
(-.f64 y x)
(/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x))))
(/.f64 z (-.f64 y x))
Outputs
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (/.f64 x z) x))))
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x)))))
(*.f64 (+.f64 (/.f64 x z) x) (*.f64 (-.f64 x (/.f64 x z)) (pow.f64 (+.f64 (/.f64 x z) x) #s(literal -1 binary64))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 x z) x) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x)) (*.f64 (-.f64 x (/.f64 x z)) (pow.f64 (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x z)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x z))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 x z) x)) (/.f64 (*.f64 x x) (+.f64 (/.f64 x z) x))) (*.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (+.f64 (/.f64 x z) x)) (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (+.f64 (/.f64 x z) x)))) (+.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 x z) x)) (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (+.f64 (/.f64 x z) x))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x))))) (+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 (neg.f64 x) z) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 x z) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (+.f64 (/.f64 x z) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 x z) x)) (/.f64 (*.f64 x x) (+.f64 (/.f64 x z) x)) (fma.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (+.f64 (/.f64 x z) x)) (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (+.f64 (/.f64 x z) x)) (*.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 x z) x)) (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (+.f64 (/.f64 x z) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x))) (fma.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x)))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (/.f64 (neg.f64 x) z) x))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (+.f64 (/.f64 x z) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 x z) x)) (*.f64 (+.f64 (/.f64 x z) x) (pow.f64 (/.f64 x z) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 x z) x) (+.f64 (/.f64 x z) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x))) (*.f64 (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x)) (pow.f64 (/.f64 x z) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x))))
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (neg.f64 (+.f64 (/.f64 x z) x)))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (neg.f64 (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (+.f64 (/.f64 x z) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x z))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 x z))))
(neg.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (+.f64 (/.f64 x z) x)))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x))))
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 x z) #s(literal 2 binary64))) (neg.f64 (+.f64 (/.f64 x z) x))))
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 x z) #s(literal 3 binary64))) (neg.f64 (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x)))))
(fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) x x)
(fma.f64 (/.f64 #s(literal -1 binary64) z) x x)
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 x) x)
(fma.f64 (*.f64 x x) (pow.f64 (+.f64 (/.f64 x z) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (+.f64 (/.f64 x z) x))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x)))))
(fma.f64 (neg.f64 x) (pow.f64 z #s(literal -1 binary64)) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (/.f64 (neg.f64 x) z))
(fma.f64 #s(literal -1 binary64) (/.f64 x z) x)
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z) x)
(fma.f64 #s(literal 1 binary64) x (/.f64 (neg.f64 x) z))
(fma.f64 x (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 x #s(literal 1 binary64) (/.f64 (neg.f64 x) z))
(-.f64 (+.f64 x #s(literal 0 binary64)) (/.f64 x z))
(-.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 x z) x)) (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (+.f64 (/.f64 x z) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x z) x))
(-.f64 x (/.f64 x z))
(+.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 x z) x)) (neg.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (+.f64 (/.f64 x z) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x))) (neg.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (+.f64 (/.f64 x z) x) (*.f64 x x)))))
(+.f64 (/.f64 (neg.f64 x) z) x)
(+.f64 x (/.f64 (neg.f64 x) z))
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) x)
(*.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z))
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 (/.f64 x z) #s(literal 1 binary64))
(*.f64 x (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 x (pow.f64 z #s(literal -1 binary64)))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) x))
(/.f64 #s(literal 1 binary64) (/.f64 z x))
(/.f64 x z)
(neg.f64 (*.f64 (/.f64 (neg.f64 x) z) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 x) z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 x) z))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) z))
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64)))
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) y)
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) z))
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 y (pow.f64 z #s(literal -1 binary64)))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(/.f64 (neg.f64 y) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) y))
(/.f64 #s(literal 1 binary64) (/.f64 z y))
(/.f64 y z)
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z y)))
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(*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) z))
(*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 z))
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) z)
(*.f64 (neg.f64 z) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 z) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(*.f64 (/.f64 z (-.f64 x y)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 z (-.f64 x y)) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 z (-.f64 x y)))
(*.f64 (/.f64 z (-.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x)))
(*.f64 z (pow.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 z (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(pow.f64 (/.f64 z (-.f64 y x)) #s(literal 1 binary64))
(pow.f64 (/.f64 (-.f64 y x) z) #s(literal -1 binary64))
(/.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(/.f64 (neg.f64 z) (-.f64 x y))
(/.f64 (/.f64 z (-.f64 x y)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) z))
(/.f64 (/.f64 z (-.f64 y x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) z))
(/.f64 z (-.f64 y x))
(neg.f64 (/.f64 z (-.f64 x y)))
(fma.f64 (/.f64 z (*.f64 (+.f64 y x) (-.f64 y x))) y (*.f64 (/.f64 z (*.f64 (+.f64 y x) (-.f64 y x))) x))
(fma.f64 (/.f64 z (*.f64 (+.f64 y x) (-.f64 y x))) x (*.f64 (/.f64 z (*.f64 (+.f64 y x) (-.f64 y x))) y))
(fma.f64 (/.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x x)) (*.f64 (/.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y x)))
(fma.f64 (/.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (+.f64 y x)) (*.f64 (/.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y)))
(fma.f64 (/.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y) (*.f64 (/.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (+.f64 y x))))
(fma.f64 (fma.f64 y y (*.f64 x x)) (/.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 y x) (/.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(fma.f64 (*.f64 x (+.f64 y x)) (/.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 y y) (/.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(fma.f64 (*.f64 y y) (/.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (*.f64 x (+.f64 y x)) (/.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(fma.f64 y (/.f64 z (*.f64 (+.f64 y x) (-.f64 y x))) (*.f64 x (/.f64 z (*.f64 (+.f64 y x) (-.f64 y x)))))
(fma.f64 x (/.f64 z (*.f64 (+.f64 y x) (-.f64 y x))) (*.f64 y (/.f64 z (*.f64 (+.f64 y x) (-.f64 y x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 x y)) (/.f64 z (-.f64 x y)))
(-.f64 #s(literal 0 binary64) (/.f64 z (-.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 z (-.f64 y x))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 y x) z)) #s(literal -1 binary64)))
(exp.f64 (log.f64 (/.f64 z (-.f64 y x))))
(+.f64 (*.f64 y (/.f64 z (*.f64 (+.f64 y x) (-.f64 y x)))) (*.f64 x (/.f64 z (*.f64 (+.f64 y x) (-.f64 y x)))))
(+.f64 (*.f64 x (/.f64 z (*.f64 (+.f64 y x) (-.f64 y x)))) (*.f64 y (/.f64 z (*.f64 (+.f64 y x) (-.f64 y x)))))
(+.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (/.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 y x) (/.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 x (+.f64 y x)) (/.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 y y) (/.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 y y) (/.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (*.f64 x (+.f64 y x)) (/.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (*.f64 (/.f64 z (*.f64 (+.f64 y x) (-.f64 y x))) y) (*.f64 (/.f64 z (*.f64 (+.f64 y x) (-.f64 y x))) x))
(+.f64 (*.f64 (/.f64 z (*.f64 (+.f64 y x) (-.f64 y x))) x) (*.f64 (/.f64 z (*.f64 (+.f64 y x) (-.f64 y x))) y))
(+.f64 (*.f64 (/.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x x))) (*.f64 (/.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y x)))
(+.f64 (*.f64 (/.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (+.f64 y x))) (*.f64 (/.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y)))
(+.f64 (*.f64 (/.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 y y)) (*.f64 (/.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (+.f64 y x))))

eval98.0ms (2.7%)

Memory
25.0MiB live, 143.9MiB allocated
Compiler

Compiled 13 427 to 1 850 computations (86.2% saved)

prune12.0ms (0.3%)

Memory
-0.5MiB live, 34.7MiB allocated
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New5912593
Fresh000
Picked134
Done011
Total5926598
Accuracy
100.0%
Counts
598 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 x (/.f64 (-.f64 y x) z))
77.2%
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ z (- y x)) (/.f64 z y))))
61.8%
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
27.0%
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
39.4%
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
64.2%
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
Compiler

Compiled 73 to 52 computations (28.8% saved)

simplify61.0ms (1.7%)

Memory
-10.6MiB live, 26.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01674
02174
13274
24374
36574
410774
518974
638474
771274
8108674
9133874
10162974
11175774
12180074
13181374
14182174
15182274
0182274
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
(/.f64 #s(approx (- y x) (neg.f64 x)) z)
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
x
z
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ z (- y x)) (/.f64 z y))))
x
(/.f64 #s(literal 1 binary64) #s(approx (/ z (- y x)) (/.f64 z y)))
#s(literal 1 binary64)
#s(approx (/ z (- y x)) (/.f64 z y))
(/.f64 z y)
z
y
Outputs
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
(/.f64 #s(approx (- y x) (neg.f64 x)) z)
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
x
z
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ z (- y x)) (/.f64 z y))))
(-.f64 x (/.f64 #s(literal -1 binary64) #s(approx (/ z (- y x)) (/.f64 z y))))
x
(/.f64 #s(literal 1 binary64) #s(approx (/ z (- y x)) (/.f64 z y)))
#s(literal 1 binary64)
#s(approx (/ z (- y x)) (/.f64 z y))
(/.f64 z y)
z
y

localize33.0ms (0.9%)

Memory
21.2MiB live, 56.9MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 z y)
accuracy0.00390625
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ z (- y x)) (/.f64 z y))))
accuracy0.40295781428671634
(/.f64 #s(literal 1 binary64) #s(approx (/ z (- y x)) (/.f64 z y)))
accuracy28.451090554564658
#s(approx (/ z (- y x)) (/.f64 z y))
accuracy0.0
(neg.f64 x)
accuracy0.0078125
(/.f64 #s(approx (- y x) (neg.f64 x)) z)
accuracy24.456401414186054
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
accuracy30.90095480051978
#s(approx (- y x) (neg.f64 x))
Samples
25.0ms256×0valid
Compiler

Compiled 123 to 30 computations (75.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 8.0ms (49.4% of total)
ival-sub: 4.0ms (24.7% of total)
ival-add: 2.0ms (12.3% of total)
ival-neg: 1.0ms (6.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.4%)

Memory
-37.4MiB live, 13.2MiB allocated
Counts
8 → 48
Calls
Call 1
Inputs
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
(/.f64 #s(approx (- y x) (neg.f64 x)) z)
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ z (- y x)) (/.f64 z y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ z (- y x)) (/.f64 z y)))
#s(approx (/ z (- y x)) (/.f64 z y))
(/.f64 z y)
Outputs
(/ y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
y
(+ y (* -1 x))
(* -1 x)
(/ z y)
(+ (/ z y) (/ (* x z) (pow y 2)))
(+ (* x (- (/ (* x z) (pow y 3)) (* -1 (/ z (pow y 2))))) (/ z y))
(+ (* x (- (* x (- (/ (* x z) (pow y 4)) (* -1 (/ z (pow y 3))))) (* -1 (/ z (pow y 2))))) (/ z y))
(* x (- 1 (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* -1 (/ x z))
(* x (- (/ y (* x z)) (/ 1 z)))
(* x (- (/ y x) 1))
(* -1 (/ z x))
(/ (+ (* -1 z) (* -1 (/ (* y z) x))) x)
(/ (- (+ (* -1 z) (* -1 (/ (* (pow y 2) z) (pow x 2)))) (/ (* y z) x)) x)
(/ (- (+ (* -1 z) (* -1 (/ (* (pow y 3) z) (pow x 3)))) (+ (/ (* y z) x) (/ (* (pow y 2) z) (pow x 2)))) x)
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (/ (+ z (/ (* y z) x)) x))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (* (pow y 2) z) x)) (* y z)) x))) x))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) z) x) (* -1 (* (pow y 2) z))) x)) (* y z)) x))) x))
(- x (/ x z))
(- (+ x (/ y z)) (/ x z))
(- y x)
(+ (* -1 (/ z x)) (* -1 (/ (* y z) (pow x 2))))
(+ (* -1 (/ z x)) (* y (- (* -1 (/ (* y z) (pow x 3))) (/ z (pow x 2)))))
(+ (* -1 (/ z x)) (* y (- (* y (- (* -1 (/ (* y z) (pow x 4))) (/ z (pow x 3)))) (/ z (pow x 2)))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ 1 (* -1 (/ x y))))
(/ (+ z (/ (* x z) y)) y)
(/ (- (+ z (/ (* (pow x 2) z) (pow y 2))) (* -1 (/ (* x z) y))) y)
(/ (- (+ z (/ (* (pow x 3) z) (pow y 3))) (+ (* -1 (/ (* x z) y)) (* -1 (/ (* (pow x 2) z) (pow y 2))))) y)
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (/ x y) 1)))
(* -1 (/ (+ (* -1 z) (* -1 (/ (* x z) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* x z) (/ (* (pow x 2) z) y)) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow x 2) z)) (* -1 (/ (* (pow x 3) z) y))) y)) (* x z)) y))) y))
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
(/ z (- y x))
x
Calls

9 calls:

TimeVariablePointExpression
8.0ms
z
@0
((+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (+ x (/ 1 (/ z (- y x)))) (/ 1 (/ z (- y x))) (/ z (- y x)) (/ z y))
1.0ms
z
@-inf
((+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (+ x (/ 1 (/ z (- y x)))) (/ 1 (/ z (- y x))) (/ z (- y x)) (/ z y))
1.0ms
z
@inf
((+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (+ x (/ 1 (/ z (- y x)))) (/ 1 (/ z (- y x))) (/ z (- y x)) (/ z y))
1.0ms
y
@-inf
((+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (+ x (/ 1 (/ z (- y x)))) (/ 1 (/ z (- y x))) (/ z (- y x)) (/ z y))
1.0ms
x
@inf
((+ x (/ (- y x) z)) (/ (- y x) z) (- y x) (neg x) (+ x (/ 1 (/ z (- y x)))) (/ 1 (/ z (- y x))) (/ z (- y x)) (/ z y))

simplify131.0ms (3.6%)

Memory
23.0MiB live, 181.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0195535
1562485
21616443
35830431
08546401
Stop Event
iter limit
node limit
Counts
48 → 46
Calls
Call 1
Inputs
(/ y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
y
(+ y (* -1 x))
(* -1 x)
(/ z y)
(+ (/ z y) (/ (* x z) (pow y 2)))
(+ (* x (- (/ (* x z) (pow y 3)) (* -1 (/ z (pow y 2))))) (/ z y))
(+ (* x (- (* x (- (/ (* x z) (pow y 4)) (* -1 (/ z (pow y 3))))) (* -1 (/ z (pow y 2))))) (/ z y))
(* x (- 1 (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* -1 (/ x z))
(* x (- (/ y (* x z)) (/ 1 z)))
(* x (- (/ y x) 1))
(* -1 (/ z x))
(/ (+ (* -1 z) (* -1 (/ (* y z) x))) x)
(/ (- (+ (* -1 z) (* -1 (/ (* (pow y 2) z) (pow x 2)))) (/ (* y z) x)) x)
(/ (- (+ (* -1 z) (* -1 (/ (* (pow y 3) z) (pow x 3)))) (+ (/ (* y z) x) (/ (* (pow y 2) z) (pow x 2)))) x)
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (/ (+ z (/ (* y z) x)) x))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (* (pow y 2) z) x)) (* y z)) x))) x))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) z) x) (* -1 (* (pow y 2) z))) x)) (* y z)) x))) x))
(- x (/ x z))
(- (+ x (/ y z)) (/ x z))
(- y x)
(+ (* -1 (/ z x)) (* -1 (/ (* y z) (pow x 2))))
(+ (* -1 (/ z x)) (* y (- (* -1 (/ (* y z) (pow x 3))) (/ z (pow x 2)))))
(+ (* -1 (/ z x)) (* y (- (* y (- (* -1 (/ (* y z) (pow x 4))) (/ z (pow x 3)))) (/ z (pow x 2)))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ 1 (* -1 (/ x y))))
(/ (+ z (/ (* x z) y)) y)
(/ (- (+ z (/ (* (pow x 2) z) (pow y 2))) (* -1 (/ (* x z) y))) y)
(/ (- (+ z (/ (* (pow x 3) z) (pow y 3))) (+ (* -1 (/ (* x z) y)) (* -1 (/ (* (pow x 2) z) (pow y 2))))) y)
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (/ x y) 1)))
(* -1 (/ (+ (* -1 z) (* -1 (/ (* x z) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* x z) (/ (* (pow x 2) z) y)) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow x 2) z)) (* -1 (/ (* (pow x 3) z) y))) y)) (* x z)) y))) y))
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
(/ z (- y x))
x
Outputs
(/ y z)
(/.f64 y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
y
(+ y (* -1 x))
(-.f64 y x)
(* -1 x)
(neg.f64 x)
(/ z y)
(/.f64 z y)
(+ (/ z y) (/ (* x z) (pow y 2)))
(/.f64 (fma.f64 (/.f64 x y) z z) y)
(+ (* x (- (/ (* x z) (pow y 3)) (* -1 (/ z (pow y 2))))) (/ z y))
(/.f64 (fma.f64 x (/.f64 (fma.f64 (/.f64 x y) z z) y) z) y)
(+ (* x (- (* x (- (/ (* x z) (pow y 4)) (* -1 (/ z (pow y 3))))) (* -1 (/ z (pow y 2))))) (/ z y))
(fma.f64 (*.f64 x x) (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) z (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (/.f64 (fma.f64 (/.f64 x y) z z) y))
(* x (- 1 (/ 1 z)))
(-.f64 x (/.f64 x z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 (/.f64 (-.f64 y x) z) x)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* x (- (/ y (* x z)) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* x (- (/ y x) 1))
(-.f64 y x)
(* -1 (/ z x))
(/.f64 (neg.f64 z) x)
(/ (+ (* -1 z) (* -1 (/ (* y z) x))) x)
(*.f64 (/.f64 z x) (-.f64 #s(literal -1 binary64) (/.f64 y x)))
(/ (- (+ (* -1 z) (* -1 (/ (* (pow y 2) z) (pow x 2)))) (/ (* y z) x)) x)
(/.f64 (fma.f64 (/.f64 z x) (fma.f64 (/.f64 y x) y y) z) (neg.f64 x))
(/ (- (+ (* -1 z) (* -1 (/ (* (pow y 3) z) (pow x 3)))) (+ (/ (* y z) x) (/ (* (pow y 2) z) (pow x 2)))) x)
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) z (fma.f64 (/.f64 z x) (fma.f64 (/.f64 y x) y y) z))) x)
(* -1 (* x (- (/ 1 z) 1)))
(-.f64 x (/.f64 x z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(+.f64 (/.f64 (-.f64 y x) z) x)
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (/ (+ z (/ (* y z) x)) x))
(*.f64 (/.f64 z x) (-.f64 #s(literal -1 binary64) (/.f64 y x)))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (* (pow y 2) z) x)) (* y z)) x))) x))
(/.f64 (fma.f64 (/.f64 z x) (fma.f64 (/.f64 y x) y y) z) (neg.f64 x))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) z) x) (* -1 (* (pow y 2) z))) x)) (* y z)) x))) x))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) z (fma.f64 (/.f64 z x) (fma.f64 (/.f64 y x) y y) z))) x)
(- x (/ x z))
(-.f64 x (/.f64 x z))
(- (+ x (/ y z)) (/ x z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(- y x)
(-.f64 y x)
(+ (* -1 (/ z x)) (* -1 (/ (* y z) (pow x 2))))
(*.f64 (/.f64 z x) (-.f64 #s(literal -1 binary64) (/.f64 y x)))
(+ (* -1 (/ z x)) (* y (- (* -1 (/ (* y z) (pow x 3))) (/ z (pow x 2)))))
(/.f64 (fma.f64 (/.f64 z x) (fma.f64 (/.f64 y x) y y) z) (neg.f64 x))
(+ (* -1 (/ z x)) (* y (- (* y (- (* -1 (/ (* y z) (pow x 4))) (/ z (pow x 3)))) (/ z (pow x 2)))))
(fma.f64 (neg.f64 (*.f64 y (fma.f64 (/.f64 z (pow.f64 x #s(literal 4 binary64))) y (/.f64 z (pow.f64 x #s(literal 3 binary64)))))) y (*.f64 (/.f64 z x) (-.f64 #s(literal -1 binary64) (/.f64 y x))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 (/.f64 (-.f64 y x) z) x)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(/ (+ z (/ (* x z) y)) y)
(/.f64 (fma.f64 (/.f64 x y) z z) y)
(/ (- (+ z (/ (* (pow x 2) z) (pow y 2))) (* -1 (/ (* x z) y))) y)
(/.f64 (fma.f64 x (/.f64 (fma.f64 (/.f64 x y) z z) y) z) y)
(/ (- (+ z (/ (* (pow x 3) z) (pow y 3))) (+ (* -1 (/ (* x z) y)) (* -1 (/ (* (pow x 2) z) (pow y 2))))) y)
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) z (fma.f64 x (/.f64 (fma.f64 (/.f64 x y) z z) y) z)) y)
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(+.f64 (/.f64 (-.f64 y x) z) x)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
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(/.f64 (fma.f64 (/.f64 x y) z z) y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* x z) (/ (* (pow x 2) z) y)) y))) y))
(/.f64 (fma.f64 x (/.f64 (fma.f64 (/.f64 x y) z z) y) z) y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow x 2) z)) (* -1 (/ (* (pow x 3) z) y))) y)) (* x z)) y))) y))
(/.f64 (+.f64 (/.f64 (fma.f64 z x (/.f64 (*.f64 x (*.f64 x (fma.f64 (/.f64 x y) z z))) y)) y) z) y)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- (+ y (* x z)) x) z)
(/.f64 (fma.f64 z x (-.f64 y x)) z)
(/ z (- y x))
(/.f64 z (-.f64 y x))
x

rewrite219.0ms (6.1%)

Memory
6.4MiB live, 203.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01668
02168
19268
270168
3788668
0861668
Stop Event
iter limit
node limit
iter limit
Counts
8 → 175
Calls
Call 1
Inputs
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
(/.f64 #s(approx (- y x) (neg.f64 x)) z)
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ z (- y x)) (/.f64 z y))))
(/.f64 #s(literal 1 binary64) #s(approx (/ z (- y x)) (/.f64 z y)))
#s(approx (/ z (- y x)) (/.f64 z y))
(/.f64 z y)
Outputs
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (- y x) (neg.f64 x)))) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 (/.f64 z #s(approx (- y x) (neg.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z #s(approx (- y x) (neg.f64 x))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 #s(approx (- y x) (neg.f64 x))))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (- y x) (neg.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) #s(approx (- y x) (neg.f64 x)))
(*.f64 (neg.f64 #s(approx (- y x) (neg.f64 x))) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- y x) (neg.f64 x)) (neg.f64 z)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
(*.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) z) #s(literal 1 binary64))
(*.f64 #s(approx (- y x) (neg.f64 x)) (pow.f64 z #s(literal -1 binary64)))
(pow.f64 (/.f64 z #s(approx (- y x) (neg.f64 x))) #s(literal -1 binary64))
(/.f64 (/.f64 (neg.f64 #s(approx (- y x) (neg.f64 x))) #s(literal -1 binary64)) z)
(/.f64 (*.f64 (neg.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1 binary64)) (neg.f64 z))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (- y x) (neg.f64 x)))) (neg.f64 z))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 #s(approx (- y x) (neg.f64 x)) #s(literal -1 binary64)))
(/.f64 (neg.f64 #s(approx (- y x) (neg.f64 x))) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) #s(approx (- y x) (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (- y x) (neg.f64 x))))
(/.f64 #s(approx (- y x) (neg.f64 x)) z)
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z #s(approx (- y x) (neg.f64 x)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- y x) (neg.f64 x)) (neg.f64 z))))
(neg.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) (neg.f64 z)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 #s(approx (- y x) (neg.f64 x)) (neg.f64 z)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (- y x) (neg.f64 x)) (neg.f64 z)))
(exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (- y x) (neg.f64 x)))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- y x) (neg.f64 x))))
(*.f64 #s(literal 1 binary64) #s(approx (- y x) (neg.f64 x)))
(*.f64 #s(approx (- y x) (neg.f64 x)) #s(literal 1 binary64))
#s(approx (- y x) (neg.f64 x))
(neg.f64 (neg.f64 #s(approx (- y x) (neg.f64 x))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- y x) (neg.f64 x))))
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (neg.f64 x) x) x)
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 x x))
(/.f64 (*.f64 x x) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(neg.f64 x)
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) x) x)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)))
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(+.f64 (neg.f64 x) #s(literal 0 binary64))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -3 binary64)))) (fma.f64 x x (+.f64 (/.f64 x #s(approx (/ z (- y x)) (/.f64 z y))) (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)))))
(*.f64 (/.f64 (+.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)) (/.f64 x #s(approx (/ z (- y x)) (/.f64 z y)))) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (-.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)) (/.f64 x #s(approx (/ z (- y x)) (/.f64 z y))))))
(*.f64 (/.f64 (+.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)) (/.f64 x #s(approx (/ z (- y x)) (/.f64 z y)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)) (/.f64 x #s(approx (/ z (- y x)) (/.f64 z y)))) (-.f64 (-.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)) (/.f64 x #s(approx (/ z (- y x)) (/.f64 z y)))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64))) (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)))) (-.f64 x (/.f64 #s(literal -1 binary64) #s(approx (/ z (- y x)) (/.f64 z y)))))
(*.f64 (-.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64)) x)))
(*.f64 (pow.f64 (-.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64))))
(*.f64 (pow.f64 (fma.f64 x x (-.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)) (/.f64 x #s(approx (/ z (- y x)) (/.f64 z y))))) #s(literal -1 binary64)) (+.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)) (/.f64 x #s(approx (/ z (- y x)) (/.f64 z y))))))))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64))) (pow.f64 (-.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 x x (-.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)) (/.f64 x #s(approx (/ z (- y x)) (/.f64 z y))))) (/.f64 (-.f64 x (/.f64 #s(literal -1 binary64) #s(approx (/ z (- y x)) (/.f64 z y)))) (fma.f64 x x (-.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)) (/.f64 x #s(approx (/ z (- y x)) (/.f64 z y)))))))
(*.f64 (fma.f64 x x (-.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)) (/.f64 x #s(approx (/ z (- y x)) (/.f64 z y))))) (*.f64 (-.f64 x (/.f64 #s(literal -1 binary64) #s(approx (/ z (- y x)) (/.f64 z y)))) (pow.f64 (fma.f64 x x (-.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)) (/.f64 x #s(approx (/ z (- y x)) (/.f64 z y))))) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x x (-.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)) (/.f64 x #s(approx (/ z (- y x)) (/.f64 z y))))) #s(literal -1 binary64)))
(*.f64 (-.f64 x (/.f64 #s(literal -1 binary64) #s(approx (/ z (- y x)) (/.f64 z y)))) (/.f64 (-.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64))) (-.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64)))))
(*.f64 (-.f64 x (/.f64 #s(literal -1 binary64) #s(approx (/ z (- y x)) (/.f64 z y)))) (*.f64 (-.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64))) (pow.f64 (-.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64))) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal -1 binary64) #s(approx (/ z (- y x)) (/.f64 z y)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal -1 binary64) #s(approx (/ z (- y x)) (/.f64 z y))))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -4 binary64))) (pow.f64 (-.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64))) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -6 binary64))) (pow.f64 (-.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 x #s(approx (/ z (- y x)) (/.f64 z y))) #s(literal 2 binary64)) (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -4 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -6 binary64))) (pow.f64 (fma.f64 x x (-.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)) (/.f64 x #s(approx (/ z (- y x)) (/.f64 z y))))) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 x x (-.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)) (/.f64 x #s(approx (/ z (- y x)) (/.f64 z y))))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -6 binary64))) (pow.f64 (/.f64 x #s(approx (/ z (- y x)) (/.f64 z y))) #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64))) #s(literal 1 binary64)) (-.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x x (-.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)) (/.f64 x #s(approx (/ z (- y x)) (/.f64 z y))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (-.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64))))) (*.f64 (/.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)) (-.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64)))) (/.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)) (-.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64)))))) (fma.f64 x (/.f64 x (-.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64)))) (/.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)) (-.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)) (-.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (-.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64)))) (fma.f64 (/.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)) (-.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64)))) (/.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)) (-.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64)))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64)))) (/.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)) (-.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)) (/.f64 x #s(approx (/ z (- y x)) (/.f64 z y))))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64)))) (*.f64 (-.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64))) (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)))) (*.f64 (-.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64))) (-.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -4 binary64))) (*.f64 (-.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)) (*.f64 x x)) (-.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64)) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -6 binary64))) (*.f64 (-.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 x #s(approx (/ z (- y x)) (/.f64 z y))) #s(literal 2 binary64)) (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -4 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -6 binary64))) (*.f64 (fma.f64 x x (-.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)) (/.f64 x #s(approx (/ z (- y x)) (/.f64 z y))))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -3 binary64)))))
(/.f64 (+.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 x x (-.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)) (/.f64 x #s(approx (/ z (- y x)) (/.f64 z y))))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -6 binary64))) (pow.f64 (/.f64 x #s(approx (/ z (- y x)) (/.f64 z y))) #s(literal 3 binary64)))))
(/.f64 (fma.f64 (neg.f64 x) x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64))) (fma.f64 #s(literal -1 binary64) x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)) (/.f64 x #s(approx (/ z (- y x)) (/.f64 z y)))))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64))) (-.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)) (/.f64 x #s(approx (/ z (- y x)) (/.f64 z y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal -1 binary64) #s(approx (/ z (- y x)) (/.f64 z y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64)) x) (-.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal -1 binary64) #s(approx (/ z (- y x)) (/.f64 z y))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 #s(literal -1 binary64) #s(approx (/ z (- y x)) (/.f64 z y))))))
(neg.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64))) (-.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64)))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)) (/.f64 x #s(approx (/ z (- y x)) (/.f64 z y)))))))
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64))) (fma.f64 #s(literal -1 binary64) x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)) (/.f64 x #s(approx (/ z (- y x)) (/.f64 z y))))))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -3 binary64)))) (fma.f64 x x (+.f64 (/.f64 x #s(approx (/ z (- y x)) (/.f64 z y))) (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)))) (neg.f64 (/.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)) (-.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64))))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)))) (-.f64 x (/.f64 #s(literal -1 binary64) #s(approx (/ z (- y x)) (/.f64 z y)))) (neg.f64 (/.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)) (-.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64))))))
(fma.f64 (*.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1/2 binary64))) (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1/2 binary64)) x)
(fma.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1/2 binary64)) x)
(fma.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ z (- y x)) (/.f64 z y))) #s(literal -1 binary64) x)
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)) (-.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64))))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ z (- y x)) (/.f64 z y))) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64)) x)
(fma.f64 #s(literal 1 binary64) x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64)))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64)))
(fma.f64 x (/.f64 x (-.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)) (-.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64))))))
(fma.f64 x #s(literal 1 binary64) (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)) (-.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64)) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64)))) (/.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)) (-.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64)))))
(-.f64 x (/.f64 #s(literal -1 binary64) #s(approx (/ z (- y x)) (/.f64 z y))))
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64)))) (neg.f64 (/.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -2 binary64)) (-.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64))))))
(+.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64)) x)
(+.f64 x (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1/2 binary64))) (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ z (- y x)) (/.f64 z y))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ z (- y x)) (/.f64 z y))))
(*.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ z (- y x)) (/.f64 z y))))
(/.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ z (- y x)) (/.f64 z y)))
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ z (- y x)) (/.f64 z y))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ z (- y x)) (/.f64 z y))))
(exp.f64 (neg.f64 (log.f64 #s(approx (/ z (- y x)) (/.f64 z y)))))
(*.f64 (neg.f64 #s(approx (/ z (- y x)) (/.f64 z y))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ z (- y x)) (/.f64 z y))))
(*.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (/ z (- y x)) (/.f64 z y)))
(pow.f64 (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal 1 binary64))
#s(approx (/ z (- y x)) (/.f64 z y))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1/2 binary64))) (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 #s(approx (/ z (- y x)) (/.f64 z y))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ z (- y x)) (/.f64 z y))))
(/.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ z (- y x)) (/.f64 z y)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (/ z (- y x)) (/.f64 z y))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ z (- y x)) (/.f64 z y))))
(exp.f64 (log.f64 #s(approx (/ z (- y x)) (/.f64 z y))))
(*.f64 (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y z) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 z))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) z)
(*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 z y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 z y))
(*.f64 z (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (/.f64 y z) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (neg.f64 y))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 y))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(/.f64 (neg.f64 z) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) z))
(/.f64 #s(literal 1 binary64) (/.f64 y z))
(/.f64 z y)
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y z)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 z) y)))
(neg.f64 (/.f64 (neg.f64 z) y))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 z) y))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 z) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal -1 binary64)))

eval39.0ms (1.1%)

Memory
12.8MiB live, 50.5MiB allocated
Compiler

Compiled 5 181 to 656 computations (87.3% saved)

prune29.0ms (0.8%)

Memory
-25.4MiB live, 13.1MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New1950195
Fresh000
Picked022
Done044
Total1956201
Accuracy
100.0%
Counts
201 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 x (/.f64 (-.f64 y x) z))
77.2%
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ z (- y x)) (/.f64 z y))))
61.8%
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
27.0%
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
39.4%
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
64.2%
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
Compiler

Compiled 155 to 80 computations (48.4% saved)

regimes11.0ms (0.3%)

Memory
22.5MiB live, 22.5MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ z (- y x)) (/.f64 z y))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 z (-.f64 y x))))
Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
Calls

4 calls:

3.0ms
y
3.0ms
x
3.0ms
z
3.0ms
(+.f64 x (/.f64 (-.f64 y x) z))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 x (/.f64 (-.f64 y x) z))
Compiler

Compiled 10 to 15 computations (-50% saved)

regimes26.0ms (0.7%)

Memory
-33.7MiB live, 13.5MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
Outputs
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
Calls

4 calls:

19.0ms
z
2.0ms
y
2.0ms
x
2.0ms
(+.f64 x (/.f64 (-.f64 y x) z))
Results
AccuracySegmentsBranch
75.8%3x
84.1%3y
87.2%3z
78.5%5(+.f64 x (/.f64 (-.f64 y x) z))
Compiler

Compiled 10 to 15 computations (-50% saved)

regimes4.0ms (0.1%)

Memory
7.5MiB live, 7.5MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
Outputs
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
Calls

2 calls:

2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
80.8%3y
67.6%3z
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes6.0ms (0.2%)

Memory
11.9MiB live, 11.9MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
Outputs
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
Calls

4 calls:

1.0ms
y
1.0ms
x
1.0ms
z
1.0ms
(+.f64 x (/.f64 (-.f64 y x) z))
Results
AccuracySegmentsBranch
44.0%3z
42.1%2(+.f64 x (/.f64 (-.f64 y x) z))
48.2%3x
51.8%3y
Compiler

Compiled 10 to 15 computations (-50% saved)

regimes5.0ms (0.1%)

Memory
10.4MiB live, 10.4MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

4 calls:

1.0ms
x
1.0ms
z
1.0ms
y
1.0ms
(+.f64 x (/.f64 (-.f64 y x) z))
Results
AccuracySegmentsBranch
39.4%1(+.f64 x (/.f64 (-.f64 y x) z))
39.4%1z
39.4%1x
39.4%1y
Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch29.0ms (0.8%)

Memory
-17.1MiB live, 20.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
2.821114401354663e+30
4.0569185845622366e+32
19.0ms
-2.458863292955765e+47
-1.9524554731642257e+46
Samples
8.0ms208×0valid
Compiler

Compiled 348 to 272 computations (21.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 1.0ms (26.9% of total)
ival-div: 1.0ms (26.9% of total)
ival-add: 1.0ms (26.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch43.0ms (1.2%)

Memory
-7.4MiB live, 28.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
30.0ms
1.1236194421493959e+103
7.663766244851038e+104
11.0ms
-2.4187435450015708e+85
-3.8105298267744455e+77
Samples
10.0ms256×0valid
Compiler

Compiled 394 to 316 computations (19.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (43.8% of total)
ival-sub: 1.0ms (21.9% of total)
ival-add: 1.0ms (21.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch17.0ms (0.5%)

Memory
25.9MiB live, 25.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
4.0ms
5.146750820653484e-25
7.124917867571524e-25
12.0ms
-2.9533422007983036e-7
-7.162987270058335e-20
Samples
8.0ms208×0valid
Compiler

Compiled 361 to 272 computations (24.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 1.0ms (27% of total)
ival-div: 1.0ms (27% of total)
ival-add: 1.0ms (27% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify28.0ms (0.8%)

Memory
4.5MiB live, 42.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037154
145154
254154
359154
462154
563154
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 z #s(literal -39999999999999999725592761437880851790636777472 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 z #s(literal 400000000000000021464648817573888 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))))
(if (<=.f64 y #s(literal -179999999999999986673236714568298387131734806300016551876960443546544436751869411328 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 12500000000000000023945938571683359202699439090814900139410043932492241552549859449515451813852254044160 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) #s(approx (+ x (/ (- y x) z)) (/.f64 y z))))
(if (<=.f64 y #s(literal -8975065284819007/309485009821345068724781056 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 22118353849861/42535295865117307932921825928971026432 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z))))
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(if (<=.f64 z #s(literal -39999999999999999725592761437880851790636777472 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 z #s(literal 400000000000000021464648817573888 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))))
(if (<=.f64 y #s(literal -179999999999999986673236714568298387131734806300016551876960443546544436751869411328 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 12500000000000000023945938571683359202699439090814900139410043932492241552549859449515451813852254044160 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) #s(approx (+ x (/ (- y x) z)) (/.f64 y z))))
(if (<=.f64 y #s(literal -8975065284819007/309485009821345068724781056 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 22118353849861/42535295865117307932921825928971026432 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z))))
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))

soundness846.0ms (23.5%)

Memory
-26.2MiB live, 215.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0197552
1566498
21626456
35853442
08592413
071173
1198125
2553125
31585125
43532125
55029125
66483125
76757125
86857125
96857125
08119124
Stop Event
done
iter limit
node limit
iter limit
node limit
Compiler

Compiled 183 to 72 computations (60.7% saved)

preprocess26.0ms (0.7%)

Memory
28.8MiB live, 28.8MiB allocated
Compiler

Compiled 322 to 86 computations (73.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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