fabs fraction 1

Time bar (total: 6.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze56.0ms (0.8%)

Memory
-17.9MiB live, 71.4MiB 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
50%49.9%49.9%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
75%74.9%25%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
87.5%87.4%12.5%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
93.8%93.6%6.2%0.1%0%0%0%12
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample1.8s (26.2%)

Memory
-56.0MiB live, 1 161.6MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 476.0ms
ival-div: 203.0ms (42.6% of total)
ival-sub: 111.0ms (23.3% of total)
ival-mult: 54.0ms (11.3% of total)
ival-add: 50.0ms (10.5% of total)
ival-fabs: 44.0ms (9.2% of total)
ival-true: 7.0ms (1.5% of total)
exact: 5.0ms (1% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain238.0ms (3.5%)

Memory
-0.6MiB live, 249.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
200-2(-4.5642679321497935e-210 1.507893191997277e+111 -3.892659110202344e+250)(*.f64 (/.f64 x y) z)
50-0-(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))
00-0-(/.f64 x y)
00-0-z
00-0-#s(literal 4 binary64)
00-0-(+.f64 x #s(literal 4 binary64))
00-0-y
00-0-(/.f64 (+.f64 x #s(literal 4 binary64)) y)
00-0-(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 (/.f64 x y) z)n*o90
*.f64(*.f64 (/.f64 x y) z)n*u80
-.f64(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))nan-rescue50
(/.f64 (+.f64 x #s(literal 4 binary64)) y)overflow27
(/.f64 x y)overflow27
(*.f64 (/.f64 x y) z)overflow42
Confusion
Predicted +Predicted -
+182
-4232
Precision
0.8181818181818182
Recall
0.9
Confusion?
Predicted +Predicted MaybePredicted -
+1802
-40232
Precision?
0.8181818181818182
Recall?
0.9
Freqs
test
numberfreq
0234
122
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
59.0ms512×0valid
Compiler

Compiled 188 to 64 computations (66% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-div: 8.0ms (40% of total)
ival-add: 3.0ms (15% of total)
ival-mult: 3.0ms (15% of total)
ival-fabs: 3.0ms (15% of total)
ival-sub: 2.0ms (10% of total)
ival-true: 1.0ms (5% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess182.0ms (2.7%)

Memory
-0.4MiB live, 75.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044121
1129113
2277111
3637111
42046111
53054111
64182111
76373111
87598111
97862111
01012
01612
12712
25212
38712
415212
525612
639312
771312
8174810
9245210
10288710
11298510
12298910
13298910
14298910
029899
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
Outputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y))
Symmetry

(abs y)

Compiler

Compiled 12 to 10 computations (16.7% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.9%
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify139.0ms (2.1%)

Memory
10.8MiB live, 47.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x #s(literal 4 binary64))
cost-diff0
(/.f64 (+.f64 x #s(literal 4 binary64)) y)
cost-diff0
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
cost-diff832
(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01043
01643
12743
25243
38743
415243
525643
639343
771343
8174839
9245239
10288739
11298539
12298939
13298939
14298939
0298937
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))
(/.f64 (+.f64 x #s(literal 4 binary64)) y)
(+.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
y
(*.f64 (/.f64 x y) z)
(/.f64 x y)
z
Outputs
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y))
(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y)
(/.f64 (+.f64 x #s(literal 4 binary64)) y)
(/.f64 (-.f64 x #s(literal -4 binary64)) y)
(+.f64 x #s(literal 4 binary64))
(-.f64 x #s(literal -4 binary64))
x
#s(literal 4 binary64)
y
(*.f64 (/.f64 x y) z)
(*.f64 z (/.f64 x y))
(/.f64 x y)
z

localize69.0ms (1%)

Memory
-20.9MiB live, 61.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
accuracy0.0078125
(/.f64 (+.f64 x #s(literal 4 binary64)) y)
accuracy1.0039062500000002
(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))
accuracy4.658731711953679
(*.f64 (/.f64 x y) z)
Samples
52.0ms256×0valid
Compiler

Compiled 88 to 22 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-sub: 24.0ms (74.4% of total)
ival-div: 3.0ms (9.3% of total)
ival-mult: 2.0ms (6.2% of total)
ival-add: 1.0ms (3.1% of total)
ival-fabs: 1.0ms (3.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
24.5MiB live, 24.5MiB allocated
Counts
5 → 23
Calls
Call 1
Inputs
(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
(/.f64 (+.f64 x #s(literal 4 binary64)) y)
(+.f64 x #s(literal 4 binary64))
(*.f64 (/.f64 x y) z)
Outputs
(/ 4 y)
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(+ (* 4 (/ 1 y)) (/ x y))
4
(+ 4 x)
(/ (* x z) y)
(* x (- (/ 1 y) (/ z y)))
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y)))
(/ x y)
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
x
(* x (+ 1 (* 4 (/ 1 x))))
(* x (+ (* -1 (/ z y)) (/ 1 y)))
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y))))
(/ (- (+ 4 x) (* x z)) y)
(/ (+ 4 x) y)
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y))
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))
(* -1 (/ (* x z) y))
(* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y)))
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y)))))
Calls

9 calls:

TimeVariablePointExpression
2.0ms
z
@-inf
((- (/ (+ x 4) y) (* (/ x y) z)) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (/ (+ x 4) y) (+ x 4) (* (/ x y) z))
2.0ms
y
@0
((- (/ (+ x 4) y) (* (/ x y) z)) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (/ (+ x 4) y) (+ x 4) (* (/ x y) z))
2.0ms
x
@inf
((- (/ (+ x 4) y) (* (/ x y) z)) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (/ (+ x 4) y) (+ x 4) (* (/ x y) z))
2.0ms
x
@0
((- (/ (+ x 4) y) (* (/ x y) z)) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (/ (+ x 4) y) (+ x 4) (* (/ x y) z))
1.0ms
x
@-inf
((- (/ (+ x 4) y) (* (/ x y) z)) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (/ (+ x 4) y) (+ x 4) (* (/ x y) z))

simplify146.0ms (2.1%)

Memory
-0.3MiB live, 151.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061196
1191196
2460172
31271146
43628146
57523146
08432136
Stop Event
iter limit
node limit
Counts
23 → 22
Calls
Call 1
Inputs
(/ 4 y)
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y)))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(+ (* 4 (/ 1 y)) (/ x y))
4
(+ 4 x)
(/ (* x z) y)
(* x (- (/ 1 y) (/ z y)))
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y)))
(/ x y)
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
x
(* x (+ 1 (* 4 (/ 1 x))))
(* x (+ (* -1 (/ z y)) (/ 1 y)))
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y))))
(/ (- (+ 4 x) (* x z)) y)
(/ (+ 4 x) y)
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y))
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))
(* -1 (/ (* x z) y))
(* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y)))
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y)))))
Outputs
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y)))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y)
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y))
(+ (* 4 (/ 1 y)) (/ x y))
(/.f64 (-.f64 x #s(literal -4 binary64)) y)
4
#s(literal 4 binary64)
(+ 4 x)
(-.f64 x #s(literal -4 binary64))
(/ (* x z) y)
(*.f64 (/.f64 x y) z)
(* x (- (/ 1 y) (/ z y)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y)))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y)
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(/.f64 (-.f64 x #s(literal -4 binary64)) y)
x
(* x (+ 1 (* 4 (/ 1 x))))
(-.f64 x #s(literal -4 binary64))
(* x (+ (* -1 (/ z y)) (/ 1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y)
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y))))
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y))
(/ (- (+ 4 x) (* x z)) y)
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y)
(/ (+ 4 x) y)
(/.f64 (-.f64 x #s(literal -4 binary64)) y)
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y)
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y)
(* -1 (/ (* x z) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y)))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y)
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y)))))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y)

rewrite155.0ms (2.3%)

Memory
-13.1MiB live, 220.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
01636
16932
257332
0870831
Stop Event
iter limit
node limit
iter limit
Counts
5 → 411
Calls
Call 1
Inputs
(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
(/.f64 (+.f64 x #s(literal 4 binary64)) y)
(+.f64 x #s(literal 4 binary64))
(*.f64 (/.f64 x y) z)
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (/.f64 x y) (/.f64 (+.f64 #s(literal 4 binary64) x) y)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 z (/.f64 x y)) (fma.f64 z (/.f64 x y) (/.f64 (+.f64 #s(literal 4 binary64) x) y)) (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) #s(literal 2 binary64))))))
(*.f64 (-.f64 y (*.f64 (*.f64 (/.f64 y (+.f64 #s(literal 4 binary64) x)) x) z)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (+.f64 #s(literal 4 binary64) x)) y)))
(*.f64 (fma.f64 (-.f64 #s(literal -4 binary64) x) y (*.f64 y (*.f64 z x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y)))
(*.f64 (fma.f64 y (+.f64 #s(literal 4 binary64) x) (*.f64 (*.f64 (neg.f64 y) x) z)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (-.f64 (+.f64 #s(literal 4 binary64) x) (*.f64 z x)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y))
(*.f64 (fma.f64 z (/.f64 x y) (/.f64 (+.f64 #s(literal 4 binary64) x) y)) (*.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) (neg.f64 y)) (pow.f64 (fma.f64 z (/.f64 x y) (/.f64 (+.f64 #s(literal 4 binary64) x) y)) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 2 binary64))) (pow.f64 (fma.f64 z (/.f64 x y) (/.f64 (+.f64 #s(literal 4 binary64) x) y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 (+.f64 #s(literal 4 binary64) x) (*.f64 z x)))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) (neg.f64 y)))
(*.f64 (fma.f64 (*.f64 z (/.f64 x y)) (fma.f64 z (/.f64 x y) (/.f64 (+.f64 #s(literal 4 binary64) x) y)) (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) #s(literal 2 binary64))) (*.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) (neg.f64 y)) (pow.f64 (fma.f64 (*.f64 z (/.f64 x y)) (fma.f64 z (/.f64 x y) (/.f64 (+.f64 #s(literal 4 binary64) x) y)) (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 z (/.f64 x y)) (fma.f64 z (/.f64 x y) (/.f64 (+.f64 #s(literal 4 binary64) x) y)) (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) (neg.f64 y))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) #s(literal 4 binary64)) (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 4 binary64))) (pow.f64 (fma.f64 z (/.f64 x y) (/.f64 (+.f64 #s(literal 4 binary64) x) y)) #s(literal -1 binary64))) (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) #s(literal 6 binary64)) (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 6 binary64))) (pow.f64 (fma.f64 z (/.f64 x y) (/.f64 (+.f64 #s(literal 4 binary64) x) y)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) #s(literal 4 binary64)) (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) x) (/.f64 z y)) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) #s(literal 6 binary64)) (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 z (/.f64 x y)) (fma.f64 z (/.f64 x y) (/.f64 (+.f64 #s(literal 4 binary64) x) y)) (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) #s(literal 9 binary64)) (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 9 binary64))) (pow.f64 (fma.f64 (*.f64 z (/.f64 x y)) (fma.f64 z (/.f64 x y) (/.f64 (+.f64 #s(literal 4 binary64) x) y)) (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) #s(literal 2 binary64))) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) #s(literal 6 binary64)) (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) x) (/.f64 z y)) #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 x y)) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 z (/.f64 x y) (/.f64 (+.f64 #s(literal 4 binary64) x) y)))
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(*.f64 z (/.f64 x y))
(*.f64 (/.f64 x y) (neg.f64 (neg.f64 z)))
(*.f64 (/.f64 x y) z)
(*.f64 x (/.f64 z y))
(pow.f64 (/.f64 y (*.f64 z x)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) z)) (neg.f64 y))
(/.f64 (*.f64 (*.f64 z x) #s(literal -1 binary64)) (neg.f64 y))
(/.f64 (*.f64 (*.f64 z x) #s(literal 1 binary64)) y)
(/.f64 (*.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 y) x))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) z)) y)
(/.f64 (neg.f64 z) (/.f64 (neg.f64 y) x))
(/.f64 (*.f64 (neg.f64 x) z) (neg.f64 y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 z x))))
(/.f64 (*.f64 z x) y)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 z x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) z))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z x)))
(/.f64 z (/.f64 y x))
(neg.f64 (*.f64 (neg.f64 z) (/.f64 x y)))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (/.f64 x y)))

eval55.0ms (0.8%)

Memory
10.6MiB live, 94.8MiB allocated
Compiler

Compiled 10 206 to 1 636 computations (84% saved)

prune8.0ms (0.1%)

Memory
23.0MiB live, 23.0MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New4147421
Fresh000
Picked101
Done000
Total4157422
Accuracy
100.0%
Counts
422 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.2%
(/.f64 (fabs.f64 (fma.f64 (*.f64 z x) y (*.f64 (-.f64 #s(literal -4 binary64) x) y))) (fabs.f64 (*.f64 y y)))
97.7%
(fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y)))
95.1%
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y))
92.6%
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x))))
36.3%
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y)))
64.6%
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))))
47.6%
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y))))
Compiler

Compiled 208 to 164 computations (21.2% saved)

simplify100.0ms (1.5%)

Memory
-10.9MiB live, 63.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal -4 binary64) x)
cost-diff0
(fma.f64 z x (-.f64 #s(literal -4 binary64) x))
cost-diff0
(/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)
cost-diff0
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y))
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))
cost-diff0
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)))
cost-diff0
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))))
cost-diff0
(neg.f64 z)
cost-diff0
(*.f64 (neg.f64 z) (/.f64 x y))
cost-diff0
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y)))
cost-diff0
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y))))
cost-diff0
(/.f64 #s(literal 4 binary64) y)
cost-diff0
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))
cost-diff0
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y)))
cost-diff0
(/.f64 z y)
cost-diff0
(neg.f64 x)
cost-diff0
(fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y)))
cost-diff832
(fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033213
054216
195216
2148216
3241216
4397196
5792196
61518196
71894196
82154196
92454196
102494196
112494196
02494189
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y)))
(fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(neg.f64 x)
x
(/.f64 z y)
z
y
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(+.f64 #s(literal 4 binary64) x)
#s(literal 4 binary64)
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y)))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))
(/.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y))))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y)))
(*.f64 (neg.f64 z) (/.f64 x y))
(neg.f64 z)
z
(/.f64 x y)
x
y
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(/.f64 x y)
x
y
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y))
(/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)
(fma.f64 z x (-.f64 #s(literal -4 binary64) x))
z
x
(-.f64 #s(literal -4 binary64) x)
#s(literal -4 binary64)
y
Outputs
(fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y)))
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y))
(fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y)
(neg.f64 x)
x
(/.f64 z y)
z
y
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(/.f64 (-.f64 x #s(literal -4 binary64)) y)
(+.f64 #s(literal 4 binary64) x)
(-.f64 x #s(literal -4 binary64))
#s(literal 4 binary64)
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y)))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))
(/.f64 #s(literal 4 binary64) y)
#s(literal 4 binary64)
y
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y))))
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (neg.f64 z) y) x)))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y)))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 (neg.f64 z) y) x))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 (/.f64 (neg.f64 z) y) x)
(neg.f64 z)
z
(/.f64 x y)
x
y
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))))
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) y)))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) y))
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) y)
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
(/.f64 x y)
x
y
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y))
(/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)
(fma.f64 z x (-.f64 #s(literal -4 binary64) x))
z
x
(-.f64 #s(literal -4 binary64) x)
#s(literal -4 binary64)
y

localize107.0ms (1.6%)

Memory
-5.3MiB live, 114.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 z x (-.f64 #s(literal -4 binary64) x))
accuracy0
(-.f64 #s(literal -4 binary64) x)
accuracy0
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y))
accuracy3.1396728820266775
(/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)
accuracy0
(-.f64 #s(literal 1 binary64) z)
accuracy0
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))))
accuracy2.4568519115033554
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))
accuracy21.320870822218392
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)))
accuracy0
(neg.f64 z)
accuracy0
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y))))
accuracy4.658731711953679
(*.f64 (neg.f64 z) (/.f64 x y))
accuracy35.20836042033195
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y)))
accuracy0
(/.f64 #s(literal 4 binary64) y)
accuracy0
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y)))
accuracy41.711898273240834
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))
accuracy0
(neg.f64 x)
accuracy0
(fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y)))
accuracy0.0078125
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
accuracy1.7373620250595978
(fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y))
Samples
57.0ms256×0valid
Compiler

Compiled 395 to 65 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 12.0ms (29.6% of total)
ival-div: 10.0ms (24.7% of total)
ival-sub: 7.0ms (17.3% of total)
ival-add: 4.0ms (9.9% of total)
ival-fabs: 4.0ms (9.9% of total)
ival-neg: 2.0ms (4.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series43.0ms (0.6%)

Memory
18.7MiB live, 57.5MiB allocated
Counts
20 → 65
Calls
Call 1
Inputs
(fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y)))
(neg.f64 x)
(/.f64 z y)
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y)))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))
(/.f64 #s(literal 4 binary64) y)
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y))))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y)))
(*.f64 (neg.f64 z) (/.f64 x y))
(neg.f64 z)
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))
(-.f64 #s(literal 1 binary64) z)
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y))
(/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)
(fma.f64 z x (-.f64 #s(literal -4 binary64) x))
(-.f64 #s(literal -4 binary64) x)
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
Outputs
(/ 4 y)
(+ (* x (+ (* -1 (/ z y)) (/ 1 y))) (* 4 (/ 1 y)))
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))))
(* -1 x)
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y)))
(* -1 (/ (* x z) y))
(/ (* x (- 1 z)) y)
(fabs (/ (- (* x z) (+ 4 x)) y))
(/ -4 y)
(- (* x (- (/ z y) (/ 1 y))) (* 4 (/ 1 y)))
-4
(- (* x (- z 1)) 4)
(- (* -1 x) 4)
(+ (* 4 (/ 1 y)) (/ x y))
(* x (+ (* -1 (/ z y)) (/ 1 y)))
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))
(* x (- (/ 1 y) (/ z y)))
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y)))
(/ (* x (- z 1)) y)
(* x (- (/ z y) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))
(* x (- z 1))
(* x (- z (+ 1 (* 4 (/ 1 x)))))
(* -1 (* x (+ 1 (* 4 (/ 1 x)))))
(/ x y)
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(* -1 (* x (- (/ z y) (/ 1 y))))
(* -1 (* x (- (/ z y) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))))
(fabs (- (+ (* -1 (/ (* x z) y)) (* 4 (/ 1 y))) (* -1 (/ x y))))
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y))))
(fabs (/ (- (+ (* -1 x) (* x z)) 4) y))
(* -1 (/ (* x (+ 1 (* -1 z))) y))
(* -1 (* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))))
(* -1 (* x (+ 1 (* -1 z))))
(* -1 (* x (+ 1 (+ (* -1 z) (* 4 (/ 1 x))))))
(/ (+ 4 (+ x (* -1 (* x z)))) y)
(/ z y)
(/ (- (+ 4 x) (* x z)) y)
(/ (- (* x z) (+ 4 x)) y)
(/ (+ 4 x) y)
(* -1 (/ (+ (* -1 (+ 4 x)) (* x z)) y))
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y))
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))
(* -1 z)
(+ (* -1 (/ (* x z) y)) (/ x y))
1
(+ 1 (* -1 z))
(* -1 (/ (+ 4 x) y))
(+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y))
(* -1 (+ 4 x))
(- (* x z) (+ 4 x))
(* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z)))))
(* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y)))
(* z (+ (* -1 (/ x y)) (/ x (* y z))))
(* z (- (/ 1 z) 1))
(/ (* x z) y)
(* z (+ (* -1 (/ (+ 4 x) (* y z))) (/ x y)))
(* x z)
(* z (+ x (* -1 (/ (+ 4 x) z))))
(* -1 (* z (+ (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (/ x y))))
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y)))))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ x y))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (+ (* -1 (/ x y)) (+ (* 4 (/ 1 (* y z))) (/ x (* y z))))))
(* -1 (* z (+ (* -1 x) (+ (* 4 (/ 1 z)) (/ x z)))))
Calls

9 calls:

TimeVariablePointExpression
22.0ms
y
@0
((+ (* (neg x) (/ z y)) (/ (+ 4 x) y)) (fabs (+ (* (neg x) (/ z y)) (/ (+ 4 x) y))) (neg x) (/ z y) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (/ 4 y) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (* (neg z) (/ x y)) (neg z) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (* (- 1 z) (/ x y)) (- 1 z) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) (/ (+ 4 x) y))
4.0ms
z
@0
((+ (* (neg x) (/ z y)) (/ (+ 4 x) y)) (fabs (+ (* (neg x) (/ z y)) (/ (+ 4 x) y))) (neg x) (/ z y) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (/ 4 y) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (* (neg z) (/ x y)) (neg z) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (* (- 1 z) (/ x y)) (- 1 z) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) (/ (+ 4 x) y))
3.0ms
y
@-inf
((+ (* (neg x) (/ z y)) (/ (+ 4 x) y)) (fabs (+ (* (neg x) (/ z y)) (/ (+ 4 x) y))) (neg x) (/ z y) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (/ 4 y) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (* (neg z) (/ x y)) (neg z) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (* (- 1 z) (/ x y)) (- 1 z) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) (/ (+ 4 x) y))
2.0ms
x
@-inf
((+ (* (neg x) (/ z y)) (/ (+ 4 x) y)) (fabs (+ (* (neg x) (/ z y)) (/ (+ 4 x) y))) (neg x) (/ z y) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (/ 4 y) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (* (neg z) (/ x y)) (neg z) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (* (- 1 z) (/ x y)) (- 1 z) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) (/ (+ 4 x) y))
2.0ms
x
@0
((+ (* (neg x) (/ z y)) (/ (+ 4 x) y)) (fabs (+ (* (neg x) (/ z y)) (/ (+ 4 x) y))) (neg x) (/ z y) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (/ 4 y) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (* (neg z) (/ x y)) (neg z) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (* (- 1 z) (/ x y)) (- 1 z) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) (/ (+ 4 x) y))

simplify100.0ms (1.5%)

Memory
-19.7MiB live, 97.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0151538
1472468
21305437
33436434
47212434
08027401
Stop Event
iter limit
node limit
Counts
65 → 65
Calls
Call 1
Inputs
(/ 4 y)
(+ (* x (+ (* -1 (/ z y)) (/ 1 y))) (* 4 (/ 1 y)))
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))))
(* -1 x)
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y)))
(* -1 (/ (* x z) y))
(/ (* x (- 1 z)) y)
(fabs (/ (- (* x z) (+ 4 x)) y))
(/ -4 y)
(- (* x (- (/ z y) (/ 1 y))) (* 4 (/ 1 y)))
-4
(- (* x (- z 1)) 4)
(- (* -1 x) 4)
(+ (* 4 (/ 1 y)) (/ x y))
(* x (+ (* -1 (/ z y)) (/ 1 y)))
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))
(* x (- (/ 1 y) (/ z y)))
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y)))
(/ (* x (- z 1)) y)
(* x (- (/ z y) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))
(* x (- z 1))
(* x (- z (+ 1 (* 4 (/ 1 x)))))
(* -1 (* x (+ 1 (* 4 (/ 1 x)))))
(/ x y)
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(* -1 (* x (- (/ z y) (/ 1 y))))
(* -1 (* x (- (/ z y) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))))
(fabs (- (+ (* -1 (/ (* x z) y)) (* 4 (/ 1 y))) (* -1 (/ x y))))
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y))))
(fabs (/ (- (+ (* -1 x) (* x z)) 4) y))
(* -1 (/ (* x (+ 1 (* -1 z))) y))
(* -1 (* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))))
(* -1 (* x (+ 1 (* -1 z))))
(* -1 (* x (+ 1 (+ (* -1 z) (* 4 (/ 1 x))))))
(/ (+ 4 (+ x (* -1 (* x z)))) y)
(/ z y)
(/ (- (+ 4 x) (* x z)) y)
(/ (- (* x z) (+ 4 x)) y)
(/ (+ 4 x) y)
(* -1 (/ (+ (* -1 (+ 4 x)) (* x z)) y))
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y))
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))
(* -1 z)
(+ (* -1 (/ (* x z) y)) (/ x y))
1
(+ 1 (* -1 z))
(* -1 (/ (+ 4 x) y))
(+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y))
(* -1 (+ 4 x))
(- (* x z) (+ 4 x))
(* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z)))))
(* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y)))
(* z (+ (* -1 (/ x y)) (/ x (* y z))))
(* z (- (/ 1 z) 1))
(/ (* x z) y)
(* z (+ (* -1 (/ (+ 4 x) (* y z))) (/ x y)))
(* x z)
(* z (+ x (* -1 (/ (+ 4 x) z))))
(* -1 (* z (+ (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (/ x y))))
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y)))))
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ x y))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (+ (* -1 (/ x y)) (+ (* 4 (/ 1 (* y z))) (/ x (* y z))))))
(* -1 (* z (+ (* -1 x) (+ (* 4 (/ 1 z)) (/ x z)))))
Outputs
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(+ (* x (+ (* -1 (/ z y)) (/ 1 y))) (* 4 (/ 1 y)))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y)
(fabs (+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y))))
(fabs.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y))
(* -1 x)
(neg.f64 x)
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y))
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y)))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y)
(* -1 (/ (* x z) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(/ (* x (- 1 z)) y)
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))
(fabs (/ (- (* x z) (+ 4 x)) y))
(fabs.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y))
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(- (* x (- (/ z y) (/ 1 y))) (* 4 (/ 1 y)))
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)
-4
#s(literal -4 binary64)
(- (* x (- z 1)) 4)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64))
(- (* -1 x) 4)
(-.f64 #s(literal -4 binary64) x)
(+ (* 4 (/ 1 y)) (/ x y))
(/.f64 (-.f64 x #s(literal -4 binary64)) y)
(* x (+ (* -1 (/ z y)) (/ 1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y)
(* x (- (/ 1 y) (/ z y)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y)))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y)
(/ (* x (- z 1)) y)
(*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y))
(* x (- (/ z y) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)
(* x (- z 1))
(*.f64 (-.f64 z #s(literal 1 binary64)) x)
(* x (- z (+ 1 (* 4 (/ 1 x)))))
(fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64))
(* -1 (* x (+ 1 (* 4 (/ 1 x)))))
(-.f64 #s(literal -4 binary64) x)
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 y) (* 4 (/ 1 (* x y)))))
(/.f64 (-.f64 x #s(literal -4 binary64)) y)
(* -1 (* x (- (/ z y) (/ 1 y))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))
(* -1 (* x (- (/ z y) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y)
(fabs (- (+ (* -1 (/ (* x z) y)) (* 4 (/ 1 y))) (* -1 (/ x y))))
(fabs.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y))
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y))))
(fabs.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y))
(fabs (/ (- (+ (* -1 x) (* x z)) 4) y))
(fabs.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y))
(* -1 (/ (* x (+ 1 (* -1 z))) y))
(*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y))
(* -1 (* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))))
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)
(* -1 (* x (+ 1 (* -1 z))))
(*.f64 (-.f64 z #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (+ (* -1 z) (* 4 (/ 1 x))))))
(fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64))
(/ (+ 4 (+ x (* -1 (* x z)))) y)
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y)
(/ z y)
(/.f64 z y)
(/ (- (+ 4 x) (* x z)) y)
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y)
(/ (- (* x z) (+ 4 x)) y)
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)
(/ (+ 4 x) y)
(/.f64 (-.f64 x #s(literal -4 binary64)) y)
(* -1 (/ (+ (* -1 (+ 4 x)) (* x z)) y))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y)
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y)
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y)
(* -1 z)
(neg.f64 z)
(+ (* -1 (/ (* x z) y)) (/ x y))
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(* -1 (/ (+ 4 x) y))
(/.f64 (-.f64 #s(literal -4 binary64) x) y)
(+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y))
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)
(* -1 (+ 4 x))
(-.f64 #s(literal -4 binary64) x)
(- (* x z) (+ 4 x))
(fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64))
(* z (+ (* -1 (/ x y)) (+ (/ 4 (* y z)) (/ x (* y z)))))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y)
(* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y)))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y)
(* z (+ (* -1 (/ x y)) (/ x (* y z))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(/ (* x z) y)
(*.f64 (/.f64 z y) x)
(* z (+ (* -1 (/ (+ 4 x) (* y z))) (/ x y)))
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)
(* x z)
(*.f64 z x)
(* z (+ x (* -1 (/ (+ 4 x) z))))
(fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64))
(* -1 (* z (+ (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (/ x y))))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y)
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y)))))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y)
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ x y))))
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* -1 (* z (+ (* -1 (/ x y)) (+ (* 4 (/ 1 (* y z))) (/ x (* y z))))))
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)
(* -1 (* z (+ (* -1 x) (+ (* 4 (/ 1 z)) (/ x z)))))
(fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64))

rewrite177.0ms (2.6%)

Memory
1.4MiB live, 203.3MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033187
054190
1221172
21654170
08683170
Stop Event
iter limit
node limit
iter limit
Counts
20 → 896
Calls
Call 1
Inputs
(fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y))
(fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y)))
(neg.f64 x)
(/.f64 z y)
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y)))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))
(/.f64 #s(literal 4 binary64) y)
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y))))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y)))
(*.f64 (neg.f64 z) (/.f64 x y))
(neg.f64 z)
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))
(-.f64 #s(literal 1 binary64) z)
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y))
(/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)
(fma.f64 z x (-.f64 #s(literal -4 binary64) x))
(-.f64 #s(literal -4 binary64) x)
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal -4 binary64) x) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 z x (+.f64 #s(literal 4 binary64) x)) #s(literal -1 binary64)) y))
(*.f64 (/.f64 (+.f64 (pow.f64 (-.f64 #s(literal -4 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (-.f64 #s(literal -4 binary64) x) (-.f64 (-.f64 #s(literal -4 binary64) x) (*.f64 z x)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) #s(literal -1 binary64)) y))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z y) x) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 z) x (-.f64 #s(literal -4 binary64) x)) y))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z y) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (/.f64 z y) x) (fma.f64 (/.f64 x y) z (/.f64 (+.f64 #s(literal 4 binary64) x) y)) (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z y) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) (fma.f64 (/.f64 x y) z (/.f64 (+.f64 #s(literal 4 binary64) x) y)) (pow.f64 (*.f64 (/.f64 z y) x) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 z y) x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 x y) z (/.f64 (+.f64 #s(literal 4 binary64) x) y)))))
(*.f64 (-.f64 (*.f64 (-.f64 #s(literal -4 binary64) x) y) (*.f64 (neg.f64 y) (*.f64 z x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y)))
(*.f64 (-.f64 y (*.f64 (/.f64 y (+.f64 #s(literal 4 binary64) x)) (*.f64 z x))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (+.f64 #s(literal 4 binary64) x)) y)))
(*.f64 (-.f64 (*.f64 (+.f64 #s(literal 4 binary64) x) y) (*.f64 y (*.f64 z x))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (fma.f64 (*.f64 (neg.f64 z) x) (neg.f64 y) (*.f64 y (-.f64 #s(literal -4 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 y))))
(*.f64 (fma.f64 (*.f64 (neg.f64 z) x) (/.f64 y (+.f64 #s(literal 4 binary64) x)) y) (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y (+.f64 #s(literal 4 binary64) x)))))
(*.f64 (fma.f64 (*.f64 (neg.f64 z) x) y (*.f64 y (+.f64 #s(literal 4 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (fma.f64 (-.f64 #s(literal -4 binary64) x) y (*.f64 (neg.f64 y) (*.f64 (neg.f64 z) x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y)))
(*.f64 (+.f64 y (*.f64 (/.f64 y (+.f64 #s(literal 4 binary64) x)) (*.f64 (neg.f64 z) x))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (+.f64 #s(literal 4 binary64) x)) y)))
(*.f64 (fma.f64 (+.f64 #s(literal 4 binary64) x) y (*.f64 y (*.f64 (neg.f64 z) x))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 z y) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (/.f64 x y) z (/.f64 (+.f64 #s(literal 4 binary64) x) y)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 z y) x) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) #s(literal 2 binary64))) (pow.f64 (/.f64 (fma.f64 (neg.f64 z) x (-.f64 #s(literal -4 binary64) x)) y) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y))
(*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z y) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) (fma.f64 (/.f64 x y) z (/.f64 (+.f64 #s(literal 4 binary64) x) y)) (pow.f64 (*.f64 (/.f64 z y) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 z y) x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (/.f64 z y) x) (fma.f64 (/.f64 x y) z (/.f64 (+.f64 #s(literal 4 binary64) x) y)) (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) x) y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (neg.f64 z) x (+.f64 #s(literal 4 binary64) x)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) (neg.f64 (pow.f64 y #s(literal -1 binary64))))
(*.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 z) x (+.f64 #s(literal 4 binary64) x)) y))
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 z) x (+.f64 #s(literal 4 binary64) x)) y)) #s(literal -1 binary64))
(pow.f64 (neg.f64 (/.f64 y (fma.f64 z x (-.f64 #s(literal -4 binary64) x)))) #s(literal -1 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 (fma.f64 x x #s(literal 16 binary64)) (*.f64 #s(literal 4 binary64) x))) (+.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (+.f64 #s(literal 4 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 4 binary64) x)))
(/.f64 (+.f64 #s(literal 4 binary64) x) y)
(neg.f64 (/.f64 (-.f64 #s(literal -4 binary64) x) y))
(-.f64 (/.f64 #s(literal 16 binary64) (*.f64 y (-.f64 #s(literal 4 binary64) x))) (/.f64 (*.f64 x x) (*.f64 y (-.f64 #s(literal 4 binary64) x))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 y (-.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 16 binary64) (*.f64 y (-.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 16 binary64) (-.f64 x #s(literal 4 binary64))) (neg.f64 y)) (/.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 4 binary64))) (neg.f64 y)))
(-.f64 (/.f64 (/.f64 #s(literal -64 binary64) (fma.f64 x (-.f64 x #s(literal 4 binary64)) #s(literal 16 binary64))) (neg.f64 y)) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 4 binary64)) #s(literal 16 binary64))) (neg.f64 y)))
(-.f64 (/.f64 (/.f64 #s(literal 16 binary64) (-.f64 #s(literal 4 binary64) x)) y) (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 4 binary64) x)) y))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 4 binary64))) y) (/.f64 (/.f64 #s(literal 16 binary64) (-.f64 x #s(literal 4 binary64))) y))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -4 binary64) x) y))
(-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (neg.f64 x) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y (+.f64 #s(literal 4 binary64) x))) #s(literal -1 binary64)))

eval146.0ms (2.1%)

Memory
-11.4MiB live, 187.0MiB allocated
Compiler

Compiled 19 996 to 3 144 computations (84.3% saved)

prune19.0ms (0.3%)

Memory
17.5MiB live, 56.0MiB allocated
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New8636869
Fresh202
Picked145
Done000
Total86610876
Accuracy
100.0%
Counts
876 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(fabs.f64 (fma.f64 (/.f64 z y) x (/.f64 (-.f64 #s(literal -4 binary64) x) y)))
95.1%
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y))
63.4%
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y))
62.3%
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) y))
42.0%
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y))
46.1%
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 z y) x)))
47.3%
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x))))
36.3%
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y)))
64.6%
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))))
47.6%
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y))))
Compiler

Compiled 244 to 192 computations (21.3% saved)

simplify99.0ms (1.5%)

Memory
12.3MiB live, 48.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (-.f64 z #s(literal 1 binary64)) x)
cost-diff0
#s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x))
cost-diff0
(/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) y)
cost-diff0
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) y))
cost-diff0
(*.f64 z x)
cost-diff0
#s(approx (+ (* z x) (- -4 x)) (*.f64 z x))
cost-diff0
(/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y)
cost-diff0
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y))
cost-diff0
(/.f64 z y)
cost-diff0
(*.f64 (/.f64 z y) x)
cost-diff0
#s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 z y) x))
cost-diff0
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 z y) x)))
cost-diff0
(-.f64 #s(literal -4 binary64) x)
cost-diff0
#s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x))
cost-diff0
(/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)
cost-diff0
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y))
cost-diff0
(/.f64 (-.f64 #s(literal -4 binary64) x) y)
cost-diff0
(/.f64 z y)
cost-diff0
(fabs.f64 (fma.f64 (/.f64 z y) x (/.f64 (-.f64 #s(literal -4 binary64) x) y)))
cost-diff704
(fma.f64 (/.f64 z y) x (/.f64 (-.f64 #s(literal -4 binary64) x) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029222
044222
169222
291222
3143220
4237220
5482220
61020220
72406220
82701220
92960220
103541220
113592220
123655220
133679220
143679220
03679207
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fabs.f64 (fma.f64 (/.f64 z y) x (/.f64 (-.f64 #s(literal -4 binary64) x) y)))
(fma.f64 (/.f64 z y) x (/.f64 (-.f64 #s(literal -4 binary64) x) y))
(/.f64 z y)
z
y
x
(/.f64 (-.f64 #s(literal -4 binary64) x) y)
(-.f64 #s(literal -4 binary64) x)
#s(literal -4 binary64)
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y))
(/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)
#s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x))
(-.f64 #s(literal -4 binary64) x)
#s(literal -4 binary64)
x
y
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 z y) x)))
#s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 z y) x))
(*.f64 (/.f64 z y) x)
(/.f64 z y)
z
y
x
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y))
(/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y)
#s(approx (+ (* z x) (- -4 x)) (*.f64 z x))
(*.f64 z x)
z
x
y
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) y))
(/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) y)
#s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x))
(*.f64 (-.f64 z #s(literal 1 binary64)) x)
(-.f64 z #s(literal 1 binary64))
z
#s(literal 1 binary64)
x
y
Outputs
(fabs.f64 (fma.f64 (/.f64 z y) x (/.f64 (-.f64 #s(literal -4 binary64) x) y)))
(fabs.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y))
(fma.f64 (/.f64 z y) x (/.f64 (-.f64 #s(literal -4 binary64) x) y))
(/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y)
(/.f64 z y)
z
y
x
(/.f64 (-.f64 #s(literal -4 binary64) x) y)
(-.f64 #s(literal -4 binary64) x)
#s(literal -4 binary64)
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y))
(/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)
#s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x))
(-.f64 #s(literal -4 binary64) x)
#s(literal -4 binary64)
x
y
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 z y) x)))
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 x (/.f64 z y))))
#s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 z y) x))
#s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 x (/.f64 z y)))
(*.f64 (/.f64 z y) x)
(*.f64 x (/.f64 z y))
(/.f64 z y)
z
y
x
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y))
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 x z)) y))
(/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y)
(/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 x z)) y)
#s(approx (+ (* z x) (- -4 x)) (*.f64 z x))
#s(approx (+ (* z x) (- -4 x)) (*.f64 x z))
(*.f64 z x)
(*.f64 x z)
z
x
y
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) y))
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 (*.f64 x z) x)) y))
(/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) y)
(/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 (*.f64 x z) x)) y)
#s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x))
#s(approx (+ (* z x) (- -4 x)) (-.f64 (*.f64 x z) x))
(*.f64 (-.f64 z #s(literal 1 binary64)) x)
(-.f64 (*.f64 x z) x)
(-.f64 z #s(literal 1 binary64))
z
#s(literal 1 binary64)
x
y

localize82.0ms (1.2%)

Memory
-9.5MiB live, 74.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 (-.f64 z #s(literal 1 binary64)) x)
accuracy0
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) y))
accuracy3.1396728820266775
(/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) y)
accuracy21.43170540108072
#s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x))
accuracy0
(*.f64 z x)
accuracy0
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y))
accuracy3.1396728820266775
(/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y)
accuracy36.309133079528344
#s(approx (+ (* z x) (- -4 x)) (*.f64 z x))
accuracy0
(/.f64 z y)
accuracy0
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 z y) x)))
accuracy3.3166220111196876
(*.f64 (/.f64 z y) x)
accuracy35.20836042033195
#s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 z y) x))
accuracy0
(-.f64 #s(literal -4 binary64) x)
accuracy0
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y))
accuracy3.1396728820266775
(/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)
accuracy26.939362732938317
#s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x))
accuracy0
(-.f64 #s(literal -4 binary64) x)
accuracy0
(fabs.f64 (fma.f64 (/.f64 z y) x (/.f64 (-.f64 #s(literal -4 binary64) x) y)))
accuracy0.0078125
(/.f64 (-.f64 #s(literal -4 binary64) x) y)
accuracy1.7881412108898036
(fma.f64 (/.f64 z y) x (/.f64 (-.f64 #s(literal -4 binary64) x) y))
Samples
67.0ms256×0valid
Compiler

Compiled 394 to 49 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-mult: 28.0ms (54.4% of total)
ival-div: 12.0ms (23.3% of total)
ival-sub: 6.0ms (11.7% of total)
ival-add: 2.0ms (3.9% of total)
ival-fabs: 2.0ms (3.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series24.0ms (0.4%)

Memory
-10.6MiB live, 24.8MiB allocated
Counts
19 → 41
Calls
Call 1
Inputs
(fma.f64 (/.f64 z y) x (/.f64 (-.f64 #s(literal -4 binary64) x) y))
(fabs.f64 (fma.f64 (/.f64 z y) x (/.f64 (-.f64 #s(literal -4 binary64) x) y)))
(/.f64 z y)
(/.f64 (-.f64 #s(literal -4 binary64) x) y)
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y))
(/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)
#s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x))
(-.f64 #s(literal -4 binary64) x)
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 z y) x)))
#s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 z y) x))
(*.f64 (/.f64 z y) x)
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y))
(/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y)
#s(approx (+ (* z x) (- -4 x)) (*.f64 z x))
(*.f64 z x)
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) y))
(/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) y)
#s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x))
(*.f64 (-.f64 z #s(literal 1 binary64)) x)
Outputs
(/ -4 y)
(- (* x (- (/ z y) (/ 1 y))) (* 4 (/ 1 y)))
(fabs (+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)))
(- (* -1 (/ x y)) (* 4 (/ 1 y)))
(fabs (/ (- (* x z) (+ 4 x)) y))
-4
(- (* x (- z 1)) 4)
(- (* -1 x) 4)
(/ (* x z) y)
(* x z)
(* x (- z 1))
(* x (- (/ z y) (/ 1 y)))
(* x (- (/ z y) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))
(* -1 (/ x y))
(* -1 (* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))))
(/ (* x (- z 1)) y)
(* x (- z (+ 1 (* 4 (/ 1 x)))))
(* -1 x)
(* -1 (* x (+ 1 (* 4 (/ 1 x)))))
(* -1 (* x (+ (* -1 (/ z y)) (/ 1 y))))
(* -1 (* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))))
(fabs (- (+ (* -1 (/ x y)) (/ (* x z) y)) (* 4 (/ 1 y))))
(fabs (/ (- (+ (* -1 x) (* x z)) 4) y))
(* -1 (/ (* x (+ 1 (* -1 z))) y))
(* -1 (* x (+ 1 (* -1 z))))
(* -1 (* x (+ 1 (+ (* -1 z) (* 4 (/ 1 x))))))
(/ (+ (* -1 (+ 4 x)) (* x z)) y)
(/ z y)
(* -1 (/ (+ 4 x) y))
(/ (- (* x z) (+ 4 x)) y)
(* -1 (/ (+ 4 (+ x (* -1 (* x z)))) y))
(+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y))
(* -1 (+ 4 x))
(- (* x z) (+ 4 x))
(+ (* -1 x) (* x z))
(* z (+ (* -1 (/ (+ 4 x) (* y z))) (/ x y)))
(* z (+ x (* -1 (/ (+ 4 x) z))))
(* z (+ x (* -1 (/ x z))))
(* -1 (* z (+ (* -1 (/ x y)) (+ (* 4 (/ 1 (* y z))) (/ x (* y z))))))
(* -1 (* z (+ (* -1 x) (+ (* 4 (/ 1 z)) (/ x z)))))
(* -1 (* z (+ (* -1 x) (/ x z))))
Calls

9 calls:

TimeVariablePointExpression
10.0ms
z
@inf
((+ (* (/ z y) x) (/ (- -4 x) y)) (fabs (+ (* (/ z y) x) (/ (- -4 x) y))) (/ z y) (/ (- -4 x) y) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (* (/ z y) x) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (* z x) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (* (- z 1) x))
2.0ms
x
@-inf
((+ (* (/ z y) x) (/ (- -4 x) y)) (fabs (+ (* (/ z y) x) (/ (- -4 x) y))) (/ z y) (/ (- -4 x) y) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (* (/ z y) x) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (* z x) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (* (- z 1) x))
2.0ms
x
@inf
((+ (* (/ z y) x) (/ (- -4 x) y)) (fabs (+ (* (/ z y) x) (/ (- -4 x) y))) (/ z y) (/ (- -4 x) y) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (* (/ z y) x) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (* z x) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (* (- z 1) x))
2.0ms
z
@-inf
((+ (* (/ z y) x) (/ (- -4 x) y)) (fabs (+ (* (/ z y) x) (/ (- -4 x) y))) (/ z y) (/ (- -4 x) y) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (* (/ z y) x) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (* z x) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (* (- z 1) x))
2.0ms
y
@-inf
((+ (* (/ z y) x) (/ (- -4 x) y)) (fabs (+ (* (/ z y) x) (/ (- -4 x) y))) (/ z y) (/ (- -4 x) y) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (* (/ z y) x) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (* z x) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (* (- z 1) x))

simplify158.0ms (2.3%)

Memory
-6.2MiB live, 155.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109323
1343261
2984261
32416261
45395261
08157242
Stop Event
iter limit
node limit
Counts
41 → 41
Calls
Call 1
Inputs
(/ -4 y)
(- (* x (- (/ z y) (/ 1 y))) (* 4 (/ 1 y)))
(fabs (+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)))
(- (* -1 (/ x y)) (* 4 (/ 1 y)))
(fabs (/ (- (* x z) (+ 4 x)) y))
-4
(- (* x (- z 1)) 4)
(- (* -1 x) 4)
(/ (* x z) y)
(* x z)
(* x (- z 1))
(* x (- (/ z y) (/ 1 y)))
(* x (- (/ z y) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))
(* -1 (/ x y))
(* -1 (* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))))
(/ (* x (- z 1)) y)
(* x (- z (+ 1 (* 4 (/ 1 x)))))
(* -1 x)
(* -1 (* x (+ 1 (* 4 (/ 1 x)))))
(* -1 (* x (+ (* -1 (/ z y)) (/ 1 y))))
(* -1 (* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))))
(fabs (- (+ (* -1 (/ x y)) (/ (* x z) y)) (* 4 (/ 1 y))))
(fabs (/ (- (+ (* -1 x) (* x z)) 4) y))
(* -1 (/ (* x (+ 1 (* -1 z))) y))
(* -1 (* x (+ 1 (* -1 z))))
(* -1 (* x (+ 1 (+ (* -1 z) (* 4 (/ 1 x))))))
(/ (+ (* -1 (+ 4 x)) (* x z)) y)
(/ z y)
(* -1 (/ (+ 4 x) y))
(/ (- (* x z) (+ 4 x)) y)
(* -1 (/ (+ 4 (+ x (* -1 (* x z)))) y))
(+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y))
(* -1 (+ 4 x))
(- (* x z) (+ 4 x))
(+ (* -1 x) (* x z))
(* z (+ (* -1 (/ (+ 4 x) (* y z))) (/ x y)))
(* z (+ x (* -1 (/ (+ 4 x) z))))
(* z (+ x (* -1 (/ x z))))
(* -1 (* z (+ (* -1 (/ x y)) (+ (* 4 (/ 1 (* y z))) (/ x (* y z))))))
(* -1 (* z (+ (* -1 x) (+ (* 4 (/ 1 z)) (/ x z)))))
(* -1 (* z (+ (* -1 x) (/ x z))))
Outputs
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(- (* x (- (/ z y) (/ 1 y))) (* 4 (/ 1 y)))
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)
(fabs (+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y)))
(fabs.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y))
(- (* -1 (/ x y)) (* 4 (/ 1 y)))
(/.f64 (-.f64 #s(literal -4 binary64) x) y)
(fabs (/ (- (* x z) (+ 4 x)) y))
(fabs.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y))
-4
#s(literal -4 binary64)
(- (* x (- z 1)) 4)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64))
(- (* -1 x) 4)
(-.f64 #s(literal -4 binary64) x)
(/ (* x z) y)
(*.f64 (/.f64 z y) x)
(* x z)
(*.f64 x z)
(* x (- z 1))
(fma.f64 x z (neg.f64 x))
(* x (- (/ z y) (/ 1 y)))
(*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y))
(* x (- (/ z y) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)
(* -1 (/ x y))
(/.f64 (neg.f64 x) y)
(* -1 (* x (+ (/ 1 y) (* 4 (/ 1 (* x y))))))
(/.f64 (-.f64 #s(literal -4 binary64) x) y)
(/ (* x (- z 1)) y)
(*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y))
(* x (- z (+ 1 (* 4 (/ 1 x)))))
(fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 4 (/ 1 x)))))
(-.f64 #s(literal -4 binary64) x)
(* -1 (* x (+ (* -1 (/ z y)) (/ 1 y))))
(*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y))
(* -1 (* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))))
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)
(fabs (- (+ (* -1 (/ x y)) (/ (* x z) y)) (* 4 (/ 1 y))))
(fabs.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y))
(fabs (/ (- (+ (* -1 x) (* x z)) 4) y))
(fabs.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y))
(* -1 (/ (* x (+ 1 (* -1 z))) y))
(*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y))
(* -1 (* x (+ 1 (* -1 z))))
(fma.f64 x z (neg.f64 x))
(* -1 (* x (+ 1 (+ (* -1 z) (* 4 (/ 1 x))))))
(fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64))
(/ (+ (* -1 (+ 4 x)) (* x z)) y)
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)
(/ z y)
(/.f64 z y)
(* -1 (/ (+ 4 x) y))
(/.f64 (-.f64 #s(literal -4 binary64) x) y)
(/ (- (* x z) (+ 4 x)) y)
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)
(* -1 (/ (+ 4 (+ x (* -1 (* x z)))) y))
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)
(+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y))
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)
(* -1 (+ 4 x))
(-.f64 #s(literal -4 binary64) x)
(- (* x z) (+ 4 x))
(fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64))
(+ (* -1 x) (* x z))
(fma.f64 x z (neg.f64 x))
(* z (+ (* -1 (/ (+ 4 x) (* y z))) (/ x y)))
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)
(* z (+ x (* -1 (/ (+ 4 x) z))))
(fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64))
(* z (+ x (* -1 (/ x z))))
(fma.f64 x z (neg.f64 x))
(* -1 (* z (+ (* -1 (/ x y)) (+ (* 4 (/ 1 (* y z))) (/ x (* y z))))))
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)
(* -1 (* z (+ (* -1 x) (+ (* 4 (/ 1 z)) (/ x z)))))
(fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64))
(* -1 (* z (+ (* -1 x) (/ x z))))
(fma.f64 x z (neg.f64 x))

rewrite164.0ms (2.4%)

Memory
39.1MiB live, 313.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029196
044196
1162196
21115194
08387181
Stop Event
iter limit
node limit
iter limit
Counts
19 → 730
Calls
Call 1
Inputs
(fma.f64 (/.f64 z y) x (/.f64 (-.f64 #s(literal -4 binary64) x) y))
(fabs.f64 (fma.f64 (/.f64 z y) x (/.f64 (-.f64 #s(literal -4 binary64) x) y)))
(/.f64 z y)
(/.f64 (-.f64 #s(literal -4 binary64) x) y)
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y))
(/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)
#s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x))
(-.f64 #s(literal -4 binary64) x)
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 z y) x)))
#s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 z y) x))
(*.f64 (/.f64 z y) x)
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y))
(/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y)
#s(approx (+ (* z x) (- -4 x)) (*.f64 z x))
(*.f64 z x)
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) y))
(/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) y)
#s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x))
(*.f64 (-.f64 z #s(literal 1 binary64)) x)
Outputs
(*.f64 (/.f64 (fma.f64 (-.f64 #s(literal -4 binary64) x) (-.f64 (-.f64 #s(literal -4 binary64) x) (*.f64 x z)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) y) (/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) (fma.f64 (-.f64 #s(literal -4 binary64) x) (-.f64 (-.f64 #s(literal -4 binary64) x) (*.f64 x z)) (pow.f64 (*.f64 x z) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (/.f64 y (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal -4 binary64) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x z (neg.f64 (-.f64 #s(literal -4 binary64) x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 y (+.f64 (pow.f64 (-.f64 #s(literal -4 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal -4 binary64) x) (-.f64 (-.f64 #s(literal -4 binary64) x) (*.f64 x z)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal -4 binary64) x) #s(literal 2 binary64))) (pow.f64 y #s(literal -1 binary64))) (pow.f64 (fma.f64 x z (neg.f64 (-.f64 #s(literal -4 binary64) x))) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 (pow.f64 (-.f64 #s(literal -4 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal -4 binary64) x) (-.f64 (-.f64 #s(literal -4 binary64) x) (*.f64 x z)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal -4 binary64) x) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal -4 binary64) x) (*.f64 x z)) y)))
(*.f64 (neg.f64 (neg.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)))) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal -4 binary64) x) #s(literal 2 binary64))) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 x z (neg.f64 (-.f64 #s(literal -4 binary64) x))) y))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -4 binary64) x) y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 z y)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 (-.f64 #s(literal -4 binary64) x) y) (/.f64 (-.f64 (-.f64 #s(literal -4 binary64) x) (*.f64 x z)) y) (pow.f64 (*.f64 x (/.f64 z y)) #s(literal 2 binary64))))))
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal -4 binary64) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x z (neg.f64 (-.f64 #s(literal -4 binary64) x))) y)))
(*.f64 (*.f64 (+.f64 (pow.f64 (-.f64 #s(literal -4 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 #s(literal -4 binary64) x) (-.f64 (-.f64 #s(literal -4 binary64) x) (*.f64 x z)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) y)))
(*.f64 (fma.f64 (*.f64 x z) (neg.f64 y) (*.f64 y (neg.f64 (-.f64 #s(literal -4 binary64) x)))) (/.f64 #s(literal 1 binary64) (*.f64 y (neg.f64 y))))
(*.f64 (fma.f64 (*.f64 x z) (/.f64 y (-.f64 #s(literal -4 binary64) x)) (*.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y (-.f64 #s(literal -4 binary64) x)))))
(*.f64 (fma.f64 (*.f64 x z) y (*.f64 y (-.f64 #s(literal -4 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (fma.f64 (neg.f64 (-.f64 #s(literal -4 binary64) x)) y (*.f64 (neg.f64 y) (*.f64 x z))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y)))
(*.f64 (fma.f64 #s(literal 1 binary64) y (*.f64 (/.f64 y (-.f64 #s(literal -4 binary64) x)) (*.f64 x z))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (-.f64 #s(literal -4 binary64) x)) y)))
(*.f64 (fma.f64 (-.f64 #s(literal -4 binary64) x) y (*.f64 y (*.f64 x z))) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal -4 binary64) x) #s(literal 2 binary64))) (*.f64 y y)) (pow.f64 (/.f64 (fma.f64 x z (neg.f64 (-.f64 #s(literal -4 binary64) x))) y) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal -4 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 x z (neg.f64 (-.f64 #s(literal -4 binary64) x))))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y (fma.f64 x z (-.f64 #s(literal -4 binary64) x))))))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 x z (-.f64 #s(literal -4 binary64) x)))
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -4 binary64) x) y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 z y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -4 binary64) x) y) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 (*.f64 x z) (-.f64 #s(literal -4 binary64) x))) (*.f64 y y)))))
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -4 binary64) x) y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 z y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 (-.f64 #s(literal -4 binary64) x) y) (/.f64 (-.f64 (-.f64 #s(literal -4 binary64) x) (*.f64 x z)) y) (pow.f64 (*.f64 x (/.f64 z y)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (-.f64 #s(literal -4 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 y (fma.f64 (-.f64 #s(literal -4 binary64) x) (-.f64 (-.f64 #s(literal -4 binary64) x) (*.f64 x z)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))))))
(*.f64 (neg.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x))) (pow.f64 (neg.f64 y) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y))
(*.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) y) (/.f64 (fma.f64 x z (neg.f64 (-.f64 #s(literal -4 binary64) x))) (fma.f64 x z (neg.f64 (-.f64 #s(literal -4 binary64) x)))))
(pow.f64 (/.f64 y (fma.f64 x z (-.f64 #s(literal -4 binary64) x))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x z #s(literal -4 binary64)) y) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 x z #s(literal -4 binary64)) y) (/.f64 (fma.f64 x z #s(literal -4 binary64)) y) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (/.f64 (fma.f64 x z #s(literal -4 binary64)) y) (/.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x (/.f64 z y) (/.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 3 binary64))) (fma.f64 (fma.f64 x (/.f64 z y) (/.f64 #s(literal -4 binary64) y)) (fma.f64 x (/.f64 z y) (/.f64 #s(literal -4 binary64) y)) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 x (/.f64 z y) (/.f64 #s(literal -4 binary64) y)) (/.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 z y)) #s(literal 2 binary64)) (/.f64 (fma.f64 x z (neg.f64 (-.f64 #s(literal -4 binary64) x))) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -4 binary64) x) y) #s(literal 2 binary64)) (/.f64 (fma.f64 x z (neg.f64 (-.f64 #s(literal -4 binary64) x))) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 z y)) #s(literal 2 binary64)) (/.f64 (fma.f64 x z (neg.f64 (-.f64 #s(literal -4 binary64) x))) y)) (/.f64 (pow.f64 (*.f64 x (/.f64 z y)) #s(literal 2 binary64)) (/.f64 (fma.f64 x z (neg.f64 (-.f64 #s(literal -4 binary64) x))) y)) (fma.f64 (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -4 binary64) x) y) #s(literal 2 binary64)) (/.f64 (fma.f64 x z (neg.f64 (-.f64 #s(literal -4 binary64) x))) y)) (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -4 binary64) x) y) #s(literal 2 binary64)) (/.f64 (fma.f64 x z (neg.f64 (-.f64 #s(literal -4 binary64) x))) y)) (*.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 z y)) #s(literal 2 binary64)) (/.f64 (fma.f64 x z (neg.f64 (-.f64 #s(literal -4 binary64) x))) y)) (/.f64 (pow.f64 (/.f64 (-.f64 #s(literal -4 binary64) x) y) #s(literal 2 binary64)) (/.f64 (fma.f64 x z (neg.f64 (-.f64 #s(literal -4 binary64) x))) y))))))
(/.f64 (-.f64 (*.f64 #s(literal -64 binary64) (pow.f64 y #s(literal -3 binary64))) (pow.f64 (/.f64 (-.f64 x (*.f64 x z)) y) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal -4 binary64) y) #s(literal 2 binary64)) (fma.f64 (/.f64 (-.f64 x (*.f64 x z)) y) (/.f64 (-.f64 x (*.f64 x z)) y) (*.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (-.f64 x (*.f64 x z)) y)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal -4 binary64) x) #s(literal 2 binary64))) (pow.f64 y #s(literal -1 binary64)))) (neg.f64 (fma.f64 x z (neg.f64 (-.f64 #s(literal -4 binary64) x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (-.f64 #s(literal -4 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (pow.f64 y #s(literal -1 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal -4 binary64) x) (-.f64 (-.f64 #s(literal -4 binary64) x) (*.f64 x z)) (pow.f64 (*.f64 x z) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x)) #s(literal 1 binary64))) (neg.f64 y))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 x z (-.f64 #s(literal -4 binary64) x))))) (neg.f64 (neg.f64 (neg.f64 y))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal -4 binary64) x) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x z (neg.f64 (-.f64 #s(literal -4 binary64) x))) y)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (-.f64 #s(literal -4 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (-.f64 #s(literal -4 binary64) x) (-.f64 (-.f64 #s(literal -4 binary64) x) (*.f64 x z)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) y)))
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal -4 binary64) x) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (*.f64 y y))) (neg.f64 (/.f64 (-.f64 (-.f64 #s(literal -4 binary64) x) (*.f64 x z)) y)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal -4 binary64) x) #s(literal 2 binary64))) (*.f64 y y)))) (neg.f64 (neg.f64 (/.f64 (fma.f64 x z (neg.f64 (-.f64 #s(literal -4 binary64) x))) y))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -4 binary64) x) y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 z y)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 #s(literal -4 binary64) x) y) (/.f64 (-.f64 (-.f64 #s(literal -4 binary64) x) (*.f64 x z)) y) (pow.f64 (*.f64 x (/.f64 z y)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x z) (neg.f64 y) (*.f64 y (neg.f64 (-.f64 #s(literal -4 binary64) x))))) (neg.f64 (*.f64 y (neg.f64 y))))
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(*.f64 (*.f64 x (fma.f64 z z #s(literal -1 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 (*.f64 x (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 z z (+.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))
(*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 z #s(literal 1 binary64)) x)
(*.f64 x (-.f64 z #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x z) (*.f64 x #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x z) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (*.f64 x z) (neg.f64 x)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) x)) (neg.f64 (+.f64 #s(literal 1 binary64) z)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 z z (+.f64 #s(literal 1 binary64) z))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 z z #s(literal -1 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) z)))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 z z (+.f64 #s(literal 1 binary64) z))))
(/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) x) (+.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 z z (+.f64 #s(literal 1 binary64) z)))
(/.f64 (*.f64 x (fma.f64 z z #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 x (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 z z (+.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (fma.f64 z z #s(literal -1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (+.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 x (fma.f64 z z #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (+.f64 #s(literal 1 binary64) z)) (*.f64 x (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 x z (*.f64 x #s(literal -1 binary64)))
(fma.f64 x z (neg.f64 x))
(fma.f64 z x (*.f64 x #s(literal -1 binary64)))
(fma.f64 z x (neg.f64 x))
(+.f64 (*.f64 x z) (*.f64 x #s(literal -1 binary64)))
(+.f64 (*.f64 x z) (neg.f64 x))

eval193.0ms (2.8%)

Memory
16.6MiB live, 235.4MiB allocated
Compiler

Compiled 19 103 to 2 915 computations (84.7% saved)

prune126.0ms (1.9%)

Memory
-39.9MiB live, 96.9MiB allocated
Pruning

12 alts after pruning (4 fresh and 8 done)

PrunedKeptTotal
New8023805
Fresh011
Picked055
Done134
Total80312815
Accuracy
100.0%
Counts
815 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(fabs.f64 (fma.f64 (/.f64 z y) x (/.f64 (-.f64 #s(literal -4 binary64) x) y)))
95.1%
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y))
63.4%
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y))
62.3%
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) y))
42.0%
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y))
31.5%
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y))
46.0%
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (/.f64 x (/.f64 y z))))
46.1%
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 z y) x)))
47.6%
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y))))
47.3%
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x))))
36.3%
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y)))
64.6%
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))))
Compiler

Compiled 184 to 143 computations (22.3% saved)

simplify152.0ms (2.2%)

Memory
32.9MiB live, 101.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- -4 x) (neg.f64 x))
cost-diff0
#s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x)))
cost-diff0
(/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y)
cost-diff0
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y))
cost-diff0
(/.f64 y z)
cost-diff0
#s(approx (/ (+ (* z x) (- -4 x)) y) (/.f64 x (/.f64 y z)))
cost-diff0
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (/.f64 x (/.f64 y z))))
cost-diff384
(/.f64 x (/.f64 y z))
cost-diff0
(/.f64 x y)
cost-diff0
(*.f64 z (/.f64 x y))
cost-diff0
#s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y)))
cost-diff0
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y))))
cost-diff0
(neg.f64 z)
cost-diff0
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x)))
cost-diff0
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x))))
cost-diff384
(/.f64 (neg.f64 z) (/.f64 y x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032192
045192
172192
2120192
3200192
4320190
5526188
61047188
72195188
83325188
93860188
104293188
114660188
124865188
134871188
144901188
154951188
164972188
175002188
185002188
05002179
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x))))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(neg.f64 z)
z
(/.f64 y x)
y
x
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y))))
#s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y)))
(*.f64 z (/.f64 x y))
z
(/.f64 x y)
x
y
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (/.f64 x (/.f64 y z))))
#s(approx (/ (+ (* z x) (- -4 x)) y) (/.f64 x (/.f64 y z)))
(/.f64 x (/.f64 y z))
x
(/.f64 y z)
y
z
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y))
(/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y)
#s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x)))
#s(approx (- -4 x) (neg.f64 x))
(neg.f64 x)
x
y
Outputs
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x))))
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 z y) (neg.f64 x))))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x)))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 z y) (neg.f64 x)))
(/.f64 (neg.f64 z) (/.f64 y x))
(*.f64 (/.f64 z y) (neg.f64 x))
(neg.f64 z)
z
(/.f64 y x)
y
x
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y))))
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 z y) x)))
#s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y)))
#s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 z y) x))
(*.f64 z (/.f64 x y))
(*.f64 (/.f64 z y) x)
z
(/.f64 x y)
x
y
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (/.f64 x (/.f64 y z))))
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 z y) x)))
#s(approx (/ (+ (* z x) (- -4 x)) y) (/.f64 x (/.f64 y z)))
#s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 z y) x))
(/.f64 x (/.f64 y z))
(*.f64 (/.f64 z y) x)
x
(/.f64 y z)
y
z
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y))
(/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y)
#s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x)))
#s(approx (- -4 x) (neg.f64 x))
(neg.f64 x)
x
y

localize128.0ms (1.9%)

Memory
-12.5MiB live, 186.1MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y))
accuracy3.1396728820266775
(/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y)
accuracy26.939362732938317
#s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x)))
accuracy30.36162234102563
#s(approx (- -4 x) (neg.f64 x))
accuracy0
(/.f64 y z)
accuracy0
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (/.f64 x (/.f64 y z))))
accuracy3.7110283991131117
(/.f64 x (/.f64 y z))
accuracy35.20836042033195
#s(approx (/ (+ (* z x) (- -4 x)) y) (/.f64 x (/.f64 y z)))
accuracy0
(/.f64 x y)
accuracy0
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y))))
accuracy4.658731711953679
(*.f64 z (/.f64 x y))
accuracy35.20836042033195
#s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y)))
accuracy0
(neg.f64 z)
accuracy0
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x))))
accuracy4.861300973044969
(/.f64 (neg.f64 z) (/.f64 y x))
accuracy35.20836042033195
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x)))
Samples
100.0ms256×0valid
Compiler

Compiled 324 to 57 computations (82.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-div: 20.0ms (43.1% of total)
ival-neg: 13.0ms (28% of total)
ival-mult: 5.0ms (10.8% of total)
ival-add: 3.0ms (6.5% of total)
ival-fabs: 2.0ms (4.3% of total)
ival-sub: 2.0ms (4.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory
17.6MiB live, 56.4MiB allocated
Counts
16 → 46
Calls
Call 1
Inputs
(/.f64 (neg.f64 z) (/.f64 y x))
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x))))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x)))
(neg.f64 z)
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y))))
#s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y)))
(*.f64 z (/.f64 x y))
(/.f64 x y)
(/.f64 x (/.f64 y z))
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (/.f64 x (/.f64 y z))))
#s(approx (/ (+ (* z x) (- -4 x)) y) (/.f64 x (/.f64 y z)))
(/.f64 y z)
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y))
(/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y)
#s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x)))
#s(approx (- -4 x) (neg.f64 x))
Outputs
(* -1 (/ (* x z) y))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(/ 4 y)
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y)))
(fabs (/ (- (* x z) (+ 4 x)) y))
(/ -4 y)
(- (* x (- (/ z y) (/ 1 y))) (* 4 (/ 1 y)))
(/ (* x z) y)
(/ x y)
-4
(- (* x (- z 1)) 4)
(- (* -1 x) 4)
(* x (- (/ 1 y) (/ z y)))
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y)))
(/ (* x (- z 1)) y)
(* x (- (/ z y) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))
(* x (- z 1))
(* x (- z (+ 1 (* 4 (/ 1 x)))))
(* -1 x)
(* -1 (* x (+ 1 (* 4 (/ 1 x)))))
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y))))
(* x (+ (* -1 (/ z y)) (/ 1 y)))
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))
(fabs (/ (- (+ (* -1 x) (* x z)) 4) y))
(* -1 (/ (* x (+ 1 (* -1 z))) y))
(* -1 (* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))))
(* -1 (* x (+ 1 (* -1 z))))
(* -1 (* x (+ 1 (+ (* -1 z) (* 4 (/ 1 x))))))
(/ (- (+ 4 x) (* x z)) y)
(/ (- (* x z) (+ 4 x)) y)
(/ y z)
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y))
(+ (* 4 (/ 1 y)) (/ x y))
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))
(* -1 z)
(* -1 (/ (+ 4 x) y))
(+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y))
(* -1 (+ 4 x))
(- (* x z) (+ 4 x))
(* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y)))
(* z (+ (* -1 (/ (+ 4 x) (* y z))) (/ x y)))
(* x z)
(* z (+ x (* -1 (/ (+ 4 x) z))))
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y)))))
(* -1 (* z (+ (* -1 (/ x y)) (+ (* 4 (/ 1 (* y z))) (/ x (* y z))))))
(* -1 (* z (+ (* -1 x) (+ (* 4 (/ 1 z)) (/ x z)))))
Calls

9 calls:

TimeVariablePointExpression
3.0ms
y
@inf
((/ (neg z) (/ y x)) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (neg z) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (* z (/ x y)) (/ x y) (/ x (/ y z)) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (/ y z) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x))
2.0ms
y
@-inf
((/ (neg z) (/ y x)) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (neg z) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (* z (/ x y)) (/ x y) (/ x (/ y z)) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (/ y z) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x))
2.0ms
z
@-inf
((/ (neg z) (/ y x)) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (neg z) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (* z (/ x y)) (/ x y) (/ x (/ y z)) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (/ y z) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x))
2.0ms
y
@0
((/ (neg z) (/ y x)) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (neg z) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (* z (/ x y)) (/ x y) (/ x (/ y z)) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (/ y z) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x))
2.0ms
x
@-inf
((/ (neg z) (/ y x)) (fabs (- (/ (+ x 4) y) (* (/ x y) z))) (- (/ (+ x 4) y) (* (/ x y) z)) (neg z) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (* z (/ x y)) (/ x y) (/ x (/ y z)) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (/ y z) (fabs (/ (+ (* z x) (- -4 x)) y)) (/ (+ (* z x) (- -4 x)) y) (+ (* z x) (- -4 x)) (- -4 x))

simplify116.0ms (1.7%)

Memory
1.7MiB live, 78.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0118363
1369325
21024307
32911305
46038305
08032280
Stop Event
iter limit
node limit
Counts
46 → 46
Calls
Call 1
Inputs
(* -1 (/ (* x z) y))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(/ 4 y)
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y)))
(fabs (/ (- (* x z) (+ 4 x)) y))
(/ -4 y)
(- (* x (- (/ z y) (/ 1 y))) (* 4 (/ 1 y)))
(/ (* x z) y)
(/ x y)
-4
(- (* x (- z 1)) 4)
(- (* -1 x) 4)
(* x (- (/ 1 y) (/ z y)))
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y)))
(/ (* x (- z 1)) y)
(* x (- (/ z y) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))
(* x (- z 1))
(* x (- z (+ 1 (* 4 (/ 1 x)))))
(* -1 x)
(* -1 (* x (+ 1 (* 4 (/ 1 x)))))
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y))))
(* x (+ (* -1 (/ z y)) (/ 1 y)))
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))
(fabs (/ (- (+ (* -1 x) (* x z)) 4) y))
(* -1 (/ (* x (+ 1 (* -1 z))) y))
(* -1 (* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))))
(* -1 (* x (+ 1 (* -1 z))))
(* -1 (* x (+ 1 (+ (* -1 z) (* 4 (/ 1 x))))))
(/ (- (+ 4 x) (* x z)) y)
(/ (- (* x z) (+ 4 x)) y)
(/ y z)
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y))
(+ (* 4 (/ 1 y)) (/ x y))
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))
(* -1 z)
(* -1 (/ (+ 4 x) y))
(+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y))
(* -1 (+ 4 x))
(- (* x z) (+ 4 x))
(* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y)))
(* z (+ (* -1 (/ (+ 4 x) (* y z))) (/ x y)))
(* x z)
(* z (+ x (* -1 (/ (+ 4 x) z))))
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y)))))
(* -1 (* z (+ (* -1 (/ x y)) (+ (* 4 (/ 1 (* y z))) (/ x (* y z))))))
(* -1 (* z (+ (* -1 x) (+ (* 4 (/ 1 z)) (/ x z)))))
Outputs
(* -1 (/ (* x z) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(fabs (- (+ (* 4 (/ 1 y)) (/ x y)) (/ (* x z) y)))
(fabs.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y))
(/ 4 y)
(/.f64 #s(literal 4 binary64) y)
(+ (* x (- (/ 1 y) (/ z y))) (* 4 (/ 1 y)))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y)
(fabs (/ (- (* x z) (+ 4 x)) y))
(fabs.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y))
(/ -4 y)
(/.f64 #s(literal -4 binary64) y)
(- (* x (- (/ z y) (/ 1 y))) (* 4 (/ 1 y)))
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)
(/ (* x z) y)
(*.f64 (/.f64 x y) z)
(/ x y)
(/.f64 x y)
-4
#s(literal -4 binary64)
(- (* x (- z 1)) 4)
(fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64))
(- (* -1 x) 4)
(-.f64 #s(literal -4 binary64) x)
(* x (- (/ 1 y) (/ z y)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))
(* x (- (+ (/ 1 y) (* 4 (/ 1 (* x y)))) (/ z y)))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y)
(/ (* x (- z 1)) y)
(*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y))
(* x (- (/ z y) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)
(* x (- z 1))
(*.f64 (-.f64 z #s(literal 1 binary64)) x)
(* x (- z (+ 1 (* 4 (/ 1 x)))))
(fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 4 (/ 1 x)))))
(-.f64 #s(literal -4 binary64) x)
(fabs (- (* 4 (/ 1 y)) (+ (* -1 (/ x y)) (/ (* x z) y))))
(fabs.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y))
(* x (+ (* -1 (/ z y)) (/ 1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))
(* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y))))))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y)
(fabs (/ (- (+ (* -1 x) (* x z)) 4) y))
(fabs.f64 (/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y))
(* -1 (/ (* x (+ 1 (* -1 z))) y))
(*.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 x y))
(* -1 (* x (+ (* -1 (/ z y)) (+ (/ 1 y) (* 4 (/ 1 (* x y)))))))
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)
(* -1 (* x (+ 1 (* -1 z))))
(*.f64 (-.f64 z #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (+ (* -1 z) (* 4 (/ 1 x))))))
(fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64))
(/ (- (+ 4 x) (* x z)) y)
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y)
(/ (- (* x z) (+ 4 x)) y)
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)
(/ y z)
(/.f64 y z)
(* -1 (/ (- (* -1 (+ 4 x)) (* -1 (* x z))) y))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y)
(+ (* 4 (/ 1 y)) (/ x y))
(/.f64 (-.f64 x #s(literal -4 binary64)) y)
(+ (* -1 (/ (* x z) y)) (+ (* 4 (/ 1 y)) (/ x y)))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y)
(* -1 z)
(neg.f64 z)
(* -1 (/ (+ 4 x) y))
(/.f64 (-.f64 #s(literal -4 binary64) x) y)
(+ (* -1 (/ (+ 4 x) y)) (/ (* x z) y))
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)
(* -1 (+ 4 x))
(-.f64 #s(literal -4 binary64) x)
(- (* x z) (+ 4 x))
(fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64))
(* z (- (+ (/ 4 (* y z)) (/ x (* y z))) (/ x y)))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y)
(* z (+ (* -1 (/ (+ 4 x) (* y z))) (/ x y)))
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)
(* x z)
(*.f64 x z)
(* z (+ x (* -1 (/ (+ 4 x) z))))
(fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64))
(* -1 (* z (- (* -1 (/ (+ (* 4 (/ 1 y)) (/ x y)) z)) (* -1 (/ x y)))))
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 4 binary64)) y)
(* -1 (* z (+ (* -1 (/ x y)) (+ (* 4 (/ 1 (* y z))) (/ x (* y z))))))
(/.f64 (fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64)) y)
(* -1 (* z (+ (* -1 x) (+ (* 4 (/ 1 z)) (/ x z)))))
(fma.f64 (-.f64 z #s(literal 1 binary64)) x #s(literal -4 binary64))

rewrite197.0ms (2.9%)

Memory
-27.4MiB live, 195.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032176
045176
1172172
21360172
08571165
Stop Event
iter limit
node limit
iter limit
Counts
16 → 323
Calls
Call 1
Inputs
(/.f64 (neg.f64 z) (/.f64 y x))
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x))))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x)))
(neg.f64 z)
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y))))
#s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y)))
(*.f64 z (/.f64 x y))
(/.f64 x y)
(/.f64 x (/.f64 y z))
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (/.f64 x (/.f64 y z))))
#s(approx (/ (+ (* z x) (- -4 x)) y) (/.f64 x (/.f64 y z)))
(/.f64 y z)
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y))
(/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y)
#s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x)))
#s(approx (- -4 x) (neg.f64 x))
Outputs
(*.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 y) x) z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 (neg.f64 y) x) z) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64))) (/.f64 x y))
(*.f64 (/.f64 z (/.f64 #s(literal -1 binary64) x)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 z y))
(*.f64 (/.f64 x (pow.f64 z #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 z y))
(*.f64 (/.f64 (neg.f64 z) (pow.f64 x #s(literal -1 binary64))) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) z) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (pow.f64 z #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 x z))
(*.f64 (*.f64 (neg.f64 x) z) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 z) y) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (neg.f64 z) y) x)
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (/.f64 (neg.f64 x) y) z)
(*.f64 #s(literal -1 binary64) (/.f64 z (/.f64 y x)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 z (/.f64 #s(literal -1 binary64) x)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x (/.f64 #s(literal -1 binary64) z)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 z) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) z) #s(literal -1 binary64)))
(*.f64 (/.f64 z y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 z y) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 z y) (neg.f64 x))
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (neg.f64 y) z)))
(*.f64 (neg.f64 x) (/.f64 z y))
(*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64))))
(*.f64 (/.f64 x y) (pow.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)))
(*.f64 (/.f64 x y) (neg.f64 z))
(*.f64 (*.f64 x z) (/.f64 #s(literal -1 binary64) y))
(*.f64 x (/.f64 (neg.f64 z) y))
(*.f64 (neg.f64 z) (/.f64 x y))
(*.f64 z (/.f64 (neg.f64 x) y))
(pow.f64 (/.f64 (/.f64 (neg.f64 y) x) z) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (/.f64 z (/.f64 y x)) #s(literal 2 binary64))) (/.f64 z (/.f64 y x)))
(/.f64 (pow.f64 (/.f64 x (/.f64 (neg.f64 y) z)) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 z (/.f64 y x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 z (/.f64 y x))))))
(/.f64 (*.f64 (neg.f64 x) z) y)
(/.f64 (/.f64 (neg.f64 z) y) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 y z) x))
(/.f64 (/.f64 z y) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 z) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 y) z) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 y) x) z))
(/.f64 (neg.f64 x) (/.f64 y z))
(/.f64 (*.f64 x z) (neg.f64 y))
(/.f64 x (/.f64 (neg.f64 y) z))
(/.f64 (neg.f64 z) (/.f64 y x))
(/.f64 z (/.f64 (neg.f64 y) x))
(neg.f64 (/.f64 z (/.f64 y x)))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 z (/.f64 y x)))
(-.f64 #s(literal 0 binary64) (/.f64 z (/.f64 y x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (neg.f64 y) x) z)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 x (/.f64 (neg.f64 y) z)))
(*.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z)))))
(fabs.f64 (-.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))) #s(literal 0 binary64)))
(fabs.f64 (neg.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z)))))
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z)))))
(*.f64 #s(literal 1 binary64) #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z))))
#s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z)))
(neg.f64 (neg.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z)))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 x (/.f64 (neg.f64 y) z)))))
(*.f64 (neg.f64 (*.f64 z z)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) z)
(*.f64 #s(literal 1 binary64) (neg.f64 z))
(*.f64 (neg.f64 z) #s(literal 1 binary64))
(*.f64 z #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z z) (*.f64 #s(literal 0 binary64) (neg.f64 z)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 z z))) (neg.f64 z))
(/.f64 (neg.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 z z)) z)
(/.f64 (neg.f64 (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (neg.f64 (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))
(/.f64 (neg.f64 z) #s(literal 1 binary64))
(/.f64 z #s(literal -1 binary64))
(neg.f64 z)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z z) z))
(-.f64 #s(literal 0 binary64) z)
(+.f64 #s(literal 0 binary64) (neg.f64 z))
(*.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (/.f64 z (/.f64 y x)))))
(fabs.f64 (-.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (/.f64 z (/.f64 y x))) #s(literal 0 binary64)))
(fabs.f64 (neg.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (/.f64 z (/.f64 y x)))))
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (/.f64 z (/.f64 y x))))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (/.f64 z (/.f64 y x)))))
(*.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z x) (- -4 x)) y) (/.f64 z (/.f64 y x))))
#s(approx (/ (+ (* z x) (- -4 x)) y) (/.f64 z (/.f64 y x)))
(neg.f64 (neg.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (/.f64 z (/.f64 y x)))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (/.f64 z (/.f64 y x)))))
(*.f64 (pow.f64 (/.f64 (/.f64 y z) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 y z) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (pow.f64 z #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 (neg.f64 z) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 x (pow.f64 z #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x z))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 z #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 z (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 z y))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 x (pow.f64 z #s(literal -1 binary64))) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 z (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (/.f64 #s(literal -1 binary64) z)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 z) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) z))
(*.f64 (*.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (neg.f64 z) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (neg.f64 z) y) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 z) y) (neg.f64 x))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 x) y) (pow.f64 z #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 x (/.f64 (neg.f64 y) z)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x (pow.f64 z #s(literal -1 binary64))))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x z))
(*.f64 (/.f64 z y) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 z y) x)
(*.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y x)))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (/.f64 x y) z)
(*.f64 (*.f64 x z) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 z (/.f64 y x)) #s(literal 1 binary64))
(*.f64 x (/.f64 z y))
(*.f64 (neg.f64 z) (/.f64 (neg.f64 x) y))
(*.f64 z (/.f64 x y))
(pow.f64 (/.f64 (/.f64 y z) x) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (/.f64 (neg.f64 y) z)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 z (/.f64 y x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 x (/.f64 (neg.f64 y) z))))))
(/.f64 (neg.f64 (pow.f64 (/.f64 z (/.f64 y x)) #s(literal 2 binary64))) (/.f64 x (/.f64 (neg.f64 y) z)))
(/.f64 (*.f64 (neg.f64 x) z) (neg.f64 y))
(/.f64 (/.f64 (neg.f64 z) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) z))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 y) x) z))
(/.f64 (/.f64 z y) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 z y)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) x))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) z))
(/.f64 (/.f64 x y) (pow.f64 z #s(literal -1 binary64)))
(/.f64 (*.f64 x z) y)
(/.f64 x (/.f64 y z))
(/.f64 (neg.f64 z) (/.f64 (neg.f64 y) x))
(/.f64 z (/.f64 y x))
(neg.f64 (*.f64 (/.f64 x (/.f64 (neg.f64 y) z)) #s(literal 1 binary64)))
(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) (pow.f64 z #s(literal -1 binary64))))
(neg.f64 (/.f64 x (/.f64 (neg.f64 y) z)))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal -1 binary64))) (/.f64 (/.f64 (neg.f64 x) y) (pow.f64 z #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 (neg.f64 y) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y z) x)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 z (/.f64 y x)))
(*.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) x)
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 x (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) (/.f64 (neg.f64 x) y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 x) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x))
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 y x))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 (/.f64 x y) #s(literal 1 binary64))
(/.f64 x y)
(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))
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(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y))
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 x y))
(*.f64 (pow.f64 (/.f64 (/.f64 y z) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 y z) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (pow.f64 z #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 (neg.f64 z) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 x (pow.f64 z #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x z))
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 z #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 z (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 z y))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 x (pow.f64 z #s(literal -1 binary64))) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 z (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x (/.f64 #s(literal -1 binary64) z)))
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (neg.f64 z) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (neg.f64 x) z))
(*.f64 (*.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (neg.f64 z) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (neg.f64 z) y) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 z) y) (neg.f64 x))
(*.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (pow.f64 z #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 x) y) (neg.f64 z))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 x) y) (pow.f64 z #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 x (/.f64 (neg.f64 y) z)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x (pow.f64 z #s(literal -1 binary64))))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 x z))
(*.f64 (/.f64 z y) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 z y) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 z y) x)
(*.f64 #s(literal 1 binary64) (/.f64 z (/.f64 y x)))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 z) y))
(*.f64 (/.f64 x y) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (/.f64 x y) z)
(*.f64 (*.f64 x z) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 z (/.f64 y x)) #s(literal 1 binary64))
(*.f64 x (/.f64 z y))
(*.f64 (neg.f64 z) (/.f64 (neg.f64 x) y))
(*.f64 z (/.f64 x y))
(pow.f64 (/.f64 (/.f64 y z) x) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x (/.f64 (neg.f64 y) z)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 z (/.f64 y x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 x (/.f64 (neg.f64 y) z))))))
(/.f64 (neg.f64 (pow.f64 (/.f64 z (/.f64 y x)) #s(literal 2 binary64))) (/.f64 x (/.f64 (neg.f64 y) z)))
(/.f64 (*.f64 (neg.f64 x) z) (neg.f64 y))
(/.f64 (/.f64 (neg.f64 z) y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) z))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (neg.f64 y) x) z))
(/.f64 (/.f64 z y) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 z y)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) x))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 y) z))
(/.f64 (/.f64 x y) (pow.f64 z #s(literal -1 binary64)))
(/.f64 (*.f64 x z) y)
(/.f64 x (/.f64 y z))
(/.f64 (neg.f64 z) (/.f64 (neg.f64 y) x))
(/.f64 z (/.f64 y x))
(neg.f64 (*.f64 (/.f64 x (/.f64 (neg.f64 y) z)) #s(literal 1 binary64)))
(neg.f64 (/.f64 (/.f64 (neg.f64 x) y) (pow.f64 z #s(literal -1 binary64))))
(neg.f64 (/.f64 x (/.f64 (neg.f64 y) z)))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 z #s(literal -1 binary64))) (/.f64 (/.f64 (neg.f64 x) y) (pow.f64 z #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 (neg.f64 y) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y z) x)) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 z (/.f64 y x)))
(*.f64 #s(literal 1 binary64) (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (/.f64 z (/.f64 y x)))))
(fabs.f64 (-.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (/.f64 z (/.f64 y x))) #s(literal 0 binary64)))
(fabs.f64 (neg.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (/.f64 z (/.f64 y x)))))
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (/.f64 z (/.f64 y x))))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (/.f64 z (/.f64 y x)))))
(*.f64 #s(literal 1 binary64) #s(approx (/ (+ (* z x) (- -4 x)) y) (/.f64 z (/.f64 y x))))
#s(approx (/ (+ (* z x) (- -4 x)) y) (/.f64 z (/.f64 y x)))
(neg.f64 (neg.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (/.f64 z (/.f64 y x)))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (/.f64 z (/.f64 y x)))))
(*.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) z))
(*.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 #s(literal 1 binary64) (/.f64 y z))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 y z) #s(literal 1 binary64))
(*.f64 y (pow.f64 z #s(literal -1 binary64)))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(pow.f64 (/.f64 y z) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) y))
(/.f64 #s(literal 1 binary64) (/.f64 z y))
(/.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64))
(/.f64 (neg.f64 y) (neg.f64 z))
(/.f64 (/.f64 y z) #s(literal 1 binary64))
(/.f64 y z)
(neg.f64 (/.f64 (/.f64 (neg.f64 y) z) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 y) z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 y) z))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) z))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fabs.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 y))))
(*.f64 (pow.f64 (fabs.f64 y) #s(literal -1 binary64)) (fabs.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x)))))
(*.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y)))
(*.f64 (fabs.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x)))) (pow.f64 (fabs.f64 y) #s(literal -1 binary64)))
(pow.f64 (fabs.f64 (/.f64 y #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (fabs.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x)))))) (neg.f64 (neg.f64 (fabs.f64 y))))
(/.f64 (neg.f64 (fabs.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))))) (neg.f64 (fabs.f64 y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 (/.f64 y #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fabs.f64 (/.f64 y #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 y #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))))))
(/.f64 (fabs.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x)))) (fabs.f64 y))
(neg.f64 (/.f64 (neg.f64 (fabs.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))))) (fabs.f64 y)))
(neg.f64 (/.f64 (fabs.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x)))) (neg.f64 (fabs.f64 y))))
(fabs.f64 (-.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y) #s(literal 0 binary64)))
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) (neg.f64 y)))
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y))
(*.f64 (pow.f64 (/.f64 y #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x)))) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) (neg.f64 y)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y))
(*.f64 (neg.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x)))) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) (pow.f64 y #s(literal -1 binary64)))
(pow.f64 (/.f64 y #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x)))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 y #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x)))))
(/.f64 (neg.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x)))) (neg.f64 y))
(/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y)
(neg.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) (neg.f64 y)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) (neg.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 y #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x)))))
(*.f64 #s(literal 1 binary64) #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))))
(*.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) #s(literal 1 binary64))
#s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x)))
(neg.f64 (neg.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x)))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x)))))
#s(approx (- -4 x) (neg.f64 x))

eval32.0ms (0.5%)

Memory
-13.1MiB live, 61.6MiB allocated
Compiler

Compiled 5 531 to 971 computations (82.4% saved)

prune12.0ms (0.2%)

Memory
0.5MiB live, 38.1MiB allocated
Pruning

11 alts after pruning (1 fresh and 10 done)

PrunedKeptTotal
New2711272
Fresh000
Picked224
Done088
Total27311284
Accuracy
100.0%
Counts
284 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.7%
(fabs.f64 (fma.f64 (/.f64 z y) x (/.f64 (-.f64 #s(literal -4 binary64) x) y)))
95.1%
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y))
63.4%
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y))
62.3%
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) y))
42.0%
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y))
31.5%
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y))
47.3%
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (/.f64 z (/.f64 y x))))
46.1%
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 z y) x)))
47.6%
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y))))
36.3%
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y)))
64.6%
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))))
Compiler

Compiled 436 to 217 computations (50.2% saved)

regimes69.0ms (1%)

Memory
3.6MiB live, 51.3MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y)))
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y))
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y))
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y))))
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 z y) x)))
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y))
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y))))
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))))
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) y))
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y))
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (/.f64 x (/.f64 y z))))
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (/.f64 z (/.f64 y x))))
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x))))
(fabs.f64 (fma.f64 (/.f64 z y) x (/.f64 (-.f64 #s(literal -4 binary64) x) y)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
(fabs.f64 (fma.f64 (neg.f64 x) (/.f64 z y) (/.f64 (+.f64 #s(literal 4 binary64) x) y)))
(/.f64 (fabs.f64 (fma.f64 (*.f64 z x) y (*.f64 (-.f64 #s(literal -4 binary64) x) y))) (fabs.f64 (*.f64 y y)))
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (/.f64 z (/.f64 y x))))
Outputs
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y))
(fabs.f64 (fma.f64 (/.f64 z y) x (/.f64 (-.f64 #s(literal -4 binary64) x) y)))
Calls

5 calls:

45.0ms
y
6.0ms
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
6.0ms
x
6.0ms
z
6.0ms
(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))
Results
AccuracySegmentsBranch
97.7%1x
99.9%2y
97.7%1z
97.7%1(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
97.7%1(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))
Compiler

Compiled 26 to 28 computations (-7.7% saved)

regimes24.0ms (0.4%)

Memory
-4.2MiB live, 34.2MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y)))
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y))
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y))
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y))))
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 z y) x)))
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y))
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y))))
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))))
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) y))
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y))
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (/.f64 x (/.f64 y z))))
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (/.f64 z (/.f64 y x))))
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 (neg.f64 z) (/.f64 y x))))
Outputs
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))))
(fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y))
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))))
Calls

5 calls:

5.0ms
x
5.0ms
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
4.0ms
y
4.0ms
z
4.0ms
(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))
Results
AccuracySegmentsBranch
99.9%3x
95.1%1(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
96.8%2z
97.6%2(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))
95.1%1y
Compiler

Compiled 26 to 28 computations (-7.7% saved)

regimes20.0ms (0.3%)

Memory
-3.8MiB live, 33.9MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y)))
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y))
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y))
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y))))
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 z y) x)))
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y))
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y))))
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))))
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 (-.f64 z #s(literal 1 binary64)) x)) y))
Outputs
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 z y) x)))
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y))
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))))
Calls

5 calls:

6.0ms
y
3.0ms
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
3.0ms
x
3.0ms
z
3.0ms
(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))
Results
AccuracySegmentsBranch
70.0%2y
77.3%2(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
92.9%3z
86.1%3(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))
88.7%3x
Compiler

Compiled 26 to 28 computations (-7.7% saved)

regimes3.0ms (0%)

Memory
6.9MiB live, 6.9MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y)))
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y))
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y))
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y))))
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 z y) x)))
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (*.f64 z x)) y))
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (neg.f64 z) (/.f64 x y))))
Outputs
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 z y) x)))
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y))
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y))))
Calls

1 calls:

3.0ms
z
Results
AccuracySegmentsBranch
92.2%3z
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes2.0ms (0%)

Memory
5.2MiB live, 5.2MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y)))
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y))
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y))
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y))))
Outputs
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y))))
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y))
(fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y))))
Calls

1 calls:

2.0ms
z
Results
AccuracySegmentsBranch
90.4%3z
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes11.0ms (0.2%)

Memory
-5.3MiB live, 33.4MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y)))
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y))
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y))
Outputs
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y))
Calls

5 calls:

3.0ms
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
2.0ms
z
2.0ms
y
2.0ms
(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))
2.0ms
x
Results
AccuracySegmentsBranch
63.4%1y
63.4%1(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
63.4%1(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))
63.4%1x
63.4%1z
Compiler

Compiled 26 to 28 computations (-7.7% saved)

regimes8.0ms (0.1%)

Memory
18.5MiB live, 18.5MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y)))
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y))
Outputs
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y))
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y)))
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y))
Calls

5 calls:

2.0ms
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
2.0ms
x
2.0ms
(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))
2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
62.6%3x
54.1%3(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))
40.5%3y
38.9%2z
46.5%2(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
Compiler

Compiled 26 to 28 computations (-7.7% saved)

regimes11.0ms (0.2%)

Memory
-26.2MiB live, 16.1MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y)))
Outputs
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y)))
Calls

5 calls:

6.0ms
z
1.0ms
(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
1.0ms
(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
36.3%1z
36.3%1y
36.3%1(fabs.f64 (-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z)))
36.3%1(-.f64 (/.f64 (+.f64 x #s(literal 4 binary64)) y) (*.f64 (/.f64 x y) z))
36.3%1x
Compiler

Compiled 26 to 28 computations (-7.7% saved)

bsearch2.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
2.0ms
7.366646199705375e-147
9.404431782377107e-147
Samples
1.0ms16×0valid
Compiler

Compiled 35 to 35 computations (0% saved)

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

bsearch24.0ms (0.4%)

Memory
30.4MiB live, 30.4MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
9.0ms
1.0372793368189404e+42
1.602635658425674e+48
12.0ms
-1.9046623606004503e+85
-6.200024268446356e+81
Samples
13.0ms224×0valid
Compiler

Compiled 421 to 366 computations (13.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (37.7% of total)
ival-sub: 1.0ms (12.6% of total)
ival-add: 1.0ms (12.6% of total)
ival-mult: 1.0ms (12.6% of total)
ival-fabs: 1.0ms (12.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch29.0ms (0.4%)

Memory
0.4MiB live, 38.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
1.6968688268485355e-22
4.2833289832722056e-15
13.0ms
-145979348602471.66
-1733262859727.7036
Samples
17.0ms256×0valid
Compiler

Compiled 531 to 459 computations (13.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 3.0ms (27% of total)
ival-sub: 3.0ms (27% of total)
ival-mult: 2.0ms (18% of total)
ival-add: 1.0ms (9% of total)
ival-fabs: 1.0ms (9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch39.0ms (0.6%)

Memory
-24.7MiB live, 13.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
36.0ms
1.923185032104343e-5
12392012.588934507
1.0ms
-145979348602471.66
-1733262859727.7036
Samples
31.0ms160×0valid
Compiler

Compiled 525 to 458 computations (12.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (35.3% of total)
ival-sub: 1.0ms (17.7% of total)
ival-add: 1.0ms (17.7% of total)
ival-mult: 1.0ms (17.7% of total)
ival-fabs: 1.0ms (17.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.923185032104343e-5
12392012.588934507
1.0ms
-145979348602471.66
-1733262859727.7036
Compiler

Compiled 525 to 458 computations (12.8% saved)

bsearch49.0ms (0.7%)

Memory
-2.1MiB live, 35.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
2.776606477977624e-6
190.5591977908072
14.0ms
-70115.35589392215
-0.027955215687580134
Samples
17.0ms288×0valid
Compiler

Compiled 609 to 502 computations (17.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 4.0ms (39.6% of total)
ival-add: 2.0ms (19.8% of total)
ival-mult: 2.0ms (19.8% of total)
ival-sub: 1.0ms (9.9% of total)
ival-fabs: 1.0ms (9.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify29.0ms (0.4%)

Memory
11.9MiB live, 53.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070335
189335
295335
398335
499335
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 y #s(literal 3599131035634557/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) (fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) (fabs.f64 (fma.f64 (/.f64 z y) x (/.f64 (-.f64 #s(literal -4 binary64) x) y))))
(if (<=.f64 x #s(literal -7599999999999999317492453872214199480375402545913451418639910182895998524618440704 binary64)) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)))) (if (<=.f64 x #s(literal 2000000000000000089771425356151833571098624 binary64)) (fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))))))
(if (<=.f64 z #s(literal -15500000000000 binary64)) (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 z y) x))) (if (<=.f64 z #s(literal 5324132520958563/1267650600228229401496703205376 binary64)) (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))))))
(if (<=.f64 z #s(literal -15500000000000 binary64)) (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 z y) x))) (if (<=.f64 z #s(literal 12200000 binary64)) (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)) (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y))))))
(if (<=.f64 z #s(literal -15500000000000 binary64)) (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y)))) (if (<=.f64 z #s(literal 12200000 binary64)) (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)) (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y))))))
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y))
(if (<=.f64 x #s(literal -2871044762448691/281474976710656 binary64)) (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y)) (if (<=.f64 x #s(literal 4 binary64)) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y))))
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y)))
Outputs
(if (<=.f64 y #s(literal 3599131035634557/449891379454319638281053850768598185886969711830191663310075557261183758067148787031904068610389085714992091063352089512320826605549429968900851518086516385513472 binary64)) (fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) (fabs.f64 (fma.f64 (/.f64 z y) x (/.f64 (-.f64 #s(literal -4 binary64) x) y))))
(if (<=.f64 x #s(literal -7599999999999999317492453872214199480375402545913451418639910182895998524618440704 binary64)) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y)))) (if (<=.f64 x #s(literal 2000000000000000089771425356151833571098624 binary64)) (fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))))))
(if (<=.f64 x #s(literal -7599999999999999317492453872214199480375402545913451418639910182895998524618440704 binary64)) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) z)))) (if (<=.f64 x #s(literal 2000000000000000089771425356151833571098624 binary64)) (fabs.f64 (/.f64 (fma.f64 z x (-.f64 #s(literal -4 binary64) x)) y)) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) z))))))
(if (<=.f64 z #s(literal -15500000000000 binary64)) (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 z y) x))) (if (<=.f64 z #s(literal 5324132520958563/1267650600228229401496703205376 binary64)) (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x y))))))
(if (<=.f64 z #s(literal -15500000000000 binary64)) (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 z y) x))) (if (<=.f64 z #s(literal 5324132520958563/1267650600228229401496703205376 binary64)) (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (*.f64 (/.f64 x y) (-.f64 #s(literal 1 binary64) z))))))
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(if (<=.f64 z #s(literal -15500000000000 binary64)) (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 z y) x))) (if (<=.f64 z #s(literal 12200000 binary64)) (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)) (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 x y) z)))))
(if (<=.f64 z #s(literal -15500000000000 binary64)) (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y)))) (if (<=.f64 z #s(literal 12200000 binary64)) (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)) (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 z (/.f64 x y))))))
(if (<=.f64 z #s(literal -15500000000000 binary64)) (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 x y) z))) (if (<=.f64 z #s(literal 12200000 binary64)) (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y)) (fabs.f64 #s(approx (/ (+ (* z x) (- -4 x)) y) (*.f64 (/.f64 x y) z)))))
(fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) (-.f64 #s(literal -4 binary64) x)) y))
(if (<=.f64 x #s(literal -2871044762448691/281474976710656 binary64)) (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y)) (if (<=.f64 x #s(literal 4 binary64)) (fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y))) (fabs.f64 (/.f64 #s(approx (+ (* z x) (- -4 x)) #s(approx (- -4 x) (neg.f64 x))) y))))
(fabs.f64 #s(approx (- (/ (+ x 4) y) (* (/ x y) z)) (/.f64 #s(literal 4 binary64) y)))

soundness1.3s (19%)

Memory
19.3MiB live, 761.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061196
1191196
2460172
31271146
43628146
57523146
08432136
033187
054190
1221172
21654170
08683170
01036
01636
16932
257332
0870831
0151538
1472468
21305437
33436434
47212434
08027401
029196
044196
1162196
21115194
08387181
0109323
1343261
2984261
32416261
45395261
08157242
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 589 to 306 computations (48% saved)

preprocess140.0ms (2.1%)

Memory
6.2MiB live, 132.9MiB allocated
Remove

(abs y)

Compiler

Compiled 808 to 216 computations (73.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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