Diagrams.TwoD.Segment.Bernstein:evaluateBernstein from diagrams-lib-1.3.0.3

Time bar (total: 5.2s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze51.0ms (1%)

Memory
2.6MiB live, 143.6MiB allocated; 12ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
87.5%87.4%12.5%0.1%0%0%0%10
87.5%87.4%12.5%0.1%0%0%0%11
87.5%87.4%12.5%0.1%0%0%0%12
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.1s (22.2%)

Memory
22.9MiB live, 1 049.8MiB allocated; 225ms collecting garbage
Samples
750.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 368.0ms
ival-mult: 177.0ms (48.1% of total)
ival-div: 77.0ms (20.9% of total)
ival-sub: 57.0ms (15.5% of total)
ival-add: 40.0ms (10.9% of total)
ival-true: 6.0ms (1.6% of total)
exact: 5.0ms (1.4% of total)
ival-assert: 4.0ms (1.1% of total)
adjust: 2.0ms (0.5% of total)
Bogosity

explain87.0ms (1.7%)

Memory
-5.9MiB live, 200.0MiB allocated; 21ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
270-0-(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
00-0-y
00-0-#s(literal 1 binary64)
00-0-(+.f64 (-.f64 y z) #s(literal 1 binary64))
00-0-(-.f64 y z)
00-0-z
00-0-(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)o/n270
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))overflow50
Confusion
Predicted +Predicted -
+270
-0229
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+2700
-00229
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0229
127
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
30.0ms512×0valid
Compiler

Compiled 69 to 28 computations (59.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-div: 4.0ms (27.2% of total)
ival-mult: 4.0ms (27.2% of total)
ival-sub: 3.0ms (20.4% of total)
ival-add: 3.0ms (20.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess137.0ms (2.7%)

Memory
-14.7MiB live, 221.7MiB allocated; 12ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03492
111688
240388
3130682
4478681
089
0129
1269
2609
31179
42439
55679
612859
719689
832569
950149
1079139
086418
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Outputs
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
Symmetry

(negabs x)

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.0%
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify102.0ms (2%)

Memory
-1.0MiB live, 141.1MiB allocated; 9ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
01228
12628
26028
311728
424328
556728
6128528
7196828
8325628
9501428
10791328
0864126
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))
x
(+.f64 (-.f64 y z) #s(literal 1 binary64))
(-.f64 y z)
y
z
#s(literal 1 binary64)
Outputs
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))
(fma.f64 (-.f64 y z) x x)
x
(+.f64 (-.f64 y z) #s(literal 1 binary64))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(-.f64 y z)
y
z
#s(literal 1 binary64)

localize21.0ms (0.4%)

Memory
-0.2MiB live, 46.6MiB allocated; 2ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 y z)
accuracy0.0
(+.f64 (-.f64 y z) #s(literal 1 binary64))
accuracy0.0078125
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))
accuracy6.429278109975785
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Samples
16.0ms256×0valid
Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 2.0ms (29.2% of total)
ival-div: 2.0ms (29.2% of total)
ival-mult: 2.0ms (29.2% of total)
ival-add: 1.0ms (14.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory
20.9MiB live, 20.9MiB allocated; 0ms collecting garbage
Counts
4 → 37
Calls
Call 1
Inputs
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
(+.f64 (-.f64 y z) #s(literal 1 binary64))
(-.f64 y z)
Outputs
(* x (- (+ 1 y) z))
(/ (* x (- (+ 1 y) z)) z)
(* x (- 1 z))
(+ (* x y) (* x (- 1 z)))
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(- 1 z)
(- (+ 1 y) z)
(* -1 z)
(- y z)
(* x y)
(* y (+ x (/ (* x (- 1 z)) y)))
(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
y
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* y (+ 1 (* -1 (/ z y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(* -1 (* y (- (/ z y) 1)))
(* x (+ 1 y))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(+ 1 y)
(+ 1 (+ y (* -1 z)))
(+ y (* -1 z))
(* -1 (* x z))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* z (- (/ y z) 1))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
Calls

9 calls:

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

simplify138.0ms (2.7%)

Memory
-6.0MiB live, 163.6MiB allocated; 45ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082204
1279204
2992204
33479201
47720201
08174186
Stop Event
iter limit
node limit
Counts
37 → 36
Calls
Call 1
Inputs
(* x (- (+ 1 y) z))
(/ (* x (- (+ 1 y) z)) z)
(* x (- 1 z))
(+ (* x y) (* x (- 1 z)))
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(- 1 z)
(- (+ 1 y) z)
(* -1 z)
(- y z)
(* x y)
(* y (+ x (/ (* x (- 1 z)) y)))
(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
y
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* y (+ 1 (* -1 (/ z y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(* -1 (* y (- (/ z y) 1)))
(* x (+ 1 y))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(+ 1 y)
(+ 1 (+ y (* -1 z)))
(+ y (* -1 z))
(* -1 (* x z))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* z (- (/ y z) 1))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
Outputs
(* x (- (+ 1 y) z))
(fma.f64 (-.f64 y z) x x)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+ (* x y) (* x (- 1 z)))
(fma.f64 (-.f64 y z) x x)
(/ (* x (- 1 z)) z)
(-.f64 (/.f64 x z) x)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
(- (+ 1 y) z)
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* -1 z)
(neg.f64 z)
(- y z)
(-.f64 y z)
(* x y)
(*.f64 y x)
(* y (+ x (/ (* x (- 1 z)) y)))
(fma.f64 (-.f64 y z) x x)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
y
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* y (+ 1 (* -1 (/ z y))))
(-.f64 y z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(fma.f64 (-.f64 y z) x x)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) z) y) #s(literal 1 binary64)))
(* -1 (* y (- (/ z y) 1)))
(-.f64 y z)
(* x (+ 1 y))
(fma.f64 y x x)
(+ (* -1 (* x z)) (* x (+ 1 y)))
(fma.f64 (-.f64 y z) x x)
(/ (* x (+ 1 y)) z)
(/.f64 (fma.f64 y x x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(+ 1 (+ y (* -1 z)))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(+ y (* -1 z))
(-.f64 y z)
(* -1 (* x z))
(*.f64 (neg.f64 x) z)
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(fma.f64 (-.f64 y z) x x)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(fma.f64 (-.f64 y z) x x)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)

rewrite267.0ms (5.2%)

Memory
17.2MiB live, 210.4MiB allocated; 149ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01224
15524
240224
3529224
0811822
Stop Event
iter limit
node limit
iter limit
Counts
4 → 220
Calls
Call 1
Inputs
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
(+.f64 (-.f64 y z) #s(literal 1 binary64))
(-.f64 y z)
Outputs
(*.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) x x) (-.f64 (pow.f64 (-.f64 y z) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 y z))))
(*.f64 (/.f64 (fma.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) x x) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal 3 binary64)) (pow.f64 (-.f64 y z) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) (pow.f64 (-.f64 y z) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) (-.f64 y z)) (-.f64 y z) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(*.f64 (neg.f64 (neg.f64 x)) (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (-.f64 y z) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 y z) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64))))
(*.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 (-.f64 y z) x x) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (-.f64 y z)) (neg.f64 (neg.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (-.f64 y z)) x)
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y z) x x))
(*.f64 x (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 y z))))
(*.f64 x (-.f64 (-.f64 y z) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(/.f64 (*.f64 x (-.f64 (*.f64 y y) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (+.f64 z y) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (-.f64 y z)))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (-.f64 z #s(literal 1 binary64)) (-.f64 (+.f64 z y) #s(literal 1 binary64)) (*.f64 y y)))
(/.f64 (*.f64 x (neg.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64))))
(/.f64 (*.f64 x (neg.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) (-.f64 x (*.f64 (-.f64 y z) x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (fma.f64 x x (*.f64 (*.f64 (-.f64 y z) x) (neg.f64 x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) x x)) (neg.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (*.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 y y) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 2 binary64))) x) (-.f64 (+.f64 z y) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (-.f64 y z)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 3 binary64))) x) (fma.f64 (-.f64 z #s(literal 1 binary64)) (-.f64 (+.f64 z y) #s(literal 1 binary64)) (*.f64 y y)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) x) (neg.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) x) (neg.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) x x) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 (-.f64 y z) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x x)) (*.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64))))
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(/.f64 (fma.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (+.f64 z y) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (-.f64 y z) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (-.f64 y z)))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (-.f64 z #s(literal 1 binary64)) (-.f64 (+.f64 z y) #s(literal 1 binary64)) (*.f64 y y)))
(/.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) (-.f64 (-.f64 y z) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 y z) #s(literal 3 binary64))) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (-.f64 y z) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)))
(neg.f64 (fma.f64 #s(literal -1 binary64) (-.f64 y z) #s(literal -1 binary64)))
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z (-.f64 z y) (*.f64 y y)) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 z y) z) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (+.f64 z y) z)) #s(literal 1 binary64))
(fma.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 z y) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 z y) z) (-.f64 (*.f64 (+.f64 z y) z) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 y z))) (/.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal 3 binary64)) (pow.f64 (-.f64 y z) #s(literal 6 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) (pow.f64 (-.f64 y z) #s(literal 4 binary64))) (/.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))))
(fma.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (fma.f64 (neg.f64 z) z (*.f64 y y))) (-.f64 y z) #s(literal 1 binary64))
(fma.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (-.f64 (pow.f64 (-.f64 y z) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 y z))) (pow.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal 3 binary64)) (pow.f64 (-.f64 y z) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) (pow.f64 (-.f64 y z) #s(literal 4 binary64))) (pow.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (-.f64 y z) #s(literal 3/2 binary64)) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (+.f64 z y) (/.f64 (-.f64 y z) (+.f64 z y)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (pow.f64 (+.f64 z y) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (/.f64 (-.f64 y z) (fma.f64 (+.f64 z y) z (*.f64 y y))) #s(literal 1 binary64))
(fma.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (/.f64 (-.f64 y z) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 y z) #s(literal 1 binary64))
(fma.f64 (-.f64 y z) (/.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (-.f64 y z) #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y (+.f64 z y)))) (*.f64 z (/.f64 z (+.f64 z y))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))))
(-.f64 (/.f64 (*.f64 y y) (-.f64 (+.f64 z y) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 z y) #s(literal 1 binary64))))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 y z))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 z #s(literal 1 binary64)) (-.f64 (+.f64 z y) #s(literal 1 binary64)) (*.f64 y y))) (/.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 (-.f64 z #s(literal 1 binary64)) (-.f64 (+.f64 z y) #s(literal 1 binary64)) (*.f64 y y))))
(-.f64 (+.f64 #s(literal 1 binary64) y) z)
(-.f64 (*.f64 y (/.f64 y (+.f64 z y))) (-.f64 (*.f64 z (/.f64 z (+.f64 z y))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (-.f64 (-.f64 y z) #s(literal 1 binary64))) (pow.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 (-.f64 y z)))
(-.f64 y (-.f64 z #s(literal 1 binary64)))
(+.f64 (pow.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (-.f64 y z))
(+.f64 (-.f64 y z) #s(literal 1 binary64))
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z (-.f64 z y) (*.f64 y y)))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 z y) z) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (+.f64 z y) z)))
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 z y) z) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 z y) z) (-.f64 (*.f64 (+.f64 z y) z) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (fma.f64 (neg.f64 z) z (*.f64 y y))) (-.f64 y z))
(*.f64 (+.f64 z y) (/.f64 (-.f64 y z) (+.f64 z y)))
(*.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (pow.f64 (+.f64 z y) #s(literal -1 binary64)))
(*.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (/.f64 (-.f64 y z) (fma.f64 (+.f64 z y) z (*.f64 y y))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 y z))
(*.f64 (-.f64 y z) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (+.f64 z y) (neg.f64 (-.f64 y z))) #s(literal 1 binary64)) (neg.f64 (+.f64 z y)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (+.f64 z y) z (*.f64 y y))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 z y) (neg.f64 (-.f64 y z)))) (neg.f64 (+.f64 z y)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 z y) z (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 z y))) #s(literal 2 binary64)) (pow.f64 (*.f64 z (/.f64 z (+.f64 z y))) #s(literal 2 binary64))) (fma.f64 y (/.f64 y (+.f64 z y)) (*.f64 z (/.f64 z (+.f64 z y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 z y))) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 z (+.f64 z y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 z y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z (/.f64 z (+.f64 z y))) #s(literal 2 binary64)) (*.f64 (*.f64 y (/.f64 y (+.f64 z y))) (*.f64 z (/.f64 z (+.f64 z y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 z y) (neg.f64 (-.f64 y z)))) (neg.f64 (neg.f64 (+.f64 z y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 z y)) (*.f64 (+.f64 z y) (*.f64 z z))) (pow.f64 (+.f64 z y) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (*.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) (*.f64 (fma.f64 z z (*.f64 y y)) (+.f64 z y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 z z) (fma.f64 z z (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (+.f64 z y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (+.f64 z y) z (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 z #s(literal 9 binary64))) (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (+.f64 z y) z (*.f64 y y))))
(/.f64 (*.f64 (+.f64 z y) (neg.f64 (-.f64 y z))) (neg.f64 (+.f64 z y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 z y) z (*.f64 y y))))
(/.f64 (fma.f64 (neg.f64 z) z (*.f64 y y)) (+.f64 z y))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (+.f64 z y) z (*.f64 y y)))
(neg.f64 (neg.f64 (-.f64 y z)))
(fma.f64 (/.f64 (*.f64 y y) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z (-.f64 z y) (*.f64 y y)) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z y)))
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 (neg.f64 z) z (*.f64 y y))) (-.f64 y z) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z y)))
(fma.f64 (neg.f64 y) (/.f64 (neg.f64 y) (+.f64 z y)) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z y)))
(fma.f64 (fabs.f64 y) (/.f64 (fabs.f64 y) (+.f64 z y)) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z y)))
(fma.f64 y (/.f64 y (+.f64 z y)) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z y)))
(-.f64 (*.f64 y (/.f64 y (+.f64 z y))) (*.f64 z (/.f64 z (+.f64 z y))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y))))
(-.f64 y z)
(+.f64 (*.f64 y (/.f64 y (+.f64 z y))) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z y)))

eval30.0ms (0.6%)

Memory
7.6MiB live, 52.4MiB allocated; 5ms collecting garbage
Compiler

Compiled 5 464 to 932 computations (82.9% saved)

prune22.0ms (0.4%)

Memory
-23.6MiB live, 32.8MiB allocated; 9ms collecting garbage
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New22610236
Fresh000
Picked101
Done000
Total22710237
Accuracy
100.0%
Counts
237 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.4%
(fma.f64 (-.f64 y z) (/.f64 x z) (/.f64 x z))
89.9%
(/.f64 (fma.f64 (-.f64 y z) x x) z)
58.5%
(/.f64 (fma.f64 (*.f64 (-.f64 y z) x) z (*.f64 z x)) (*.f64 z z))
60.9%
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z)
60.9%
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
39.2%
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
96.5%
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 y z)) z) x)
90.2%
(*.f64 (/.f64 x z) (+.f64 #s(literal 1 binary64) (-.f64 y z)))
65.0%
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
39.0%
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
Compiler

Compiled 234 to 178 computations (23.9% saved)

simplify96.0ms (1.9%)

Memory
15.3MiB live, 105.1MiB allocated; 10ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
024137
036137
171137
2120137
3240137
4471137
51026137
61757137
72344137
83016137
95031137
107085137
08152132
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 y z)) z) x)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 y z)) z)
(+.f64 #s(literal 1 binary64) (-.f64 y z))
#s(literal 1 binary64)
(-.f64 y z)
y
z
x
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
(neg.f64 x)
x
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
#s(approx (* x (+ (- y z) 1)) (*.f64 y x))
(*.f64 y x)
y
x
z
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z)
(*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))))
x
#s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))
(-.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
z
(*.f64 (/.f64 x z) (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(/.f64 x z)
x
z
(+.f64 #s(literal 1 binary64) (-.f64 y z))
#s(literal 1 binary64)
(-.f64 y z)
y
Outputs
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 y z)) z) x)
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 y z)) z)
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z)
(+.f64 #s(literal 1 binary64) (-.f64 y z))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
#s(literal 1 binary64)
(-.f64 y z)
y
z
x
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
(neg.f64 x)
x
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 x y)) z)
#s(approx (* x (+ (- y z) 1)) (*.f64 y x))
#s(approx (* x (+ (- y z) 1)) (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
y
x
z
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z)
(*.f64 (/.f64 x z) #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))))
(*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))))
(*.f64 #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) x)
x
#s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))
(-.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
z
(*.f64 (/.f64 x z) (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(/.f64 x z)
x
z
(+.f64 #s(literal 1 binary64) (-.f64 y z))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
#s(literal 1 binary64)
(-.f64 y z)
y

localize65.0ms (1.3%)

Memory
-0.6MiB live, 140.5MiB allocated; 18ms collecting garbage
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 x z)
accuracy0.0
(-.f64 y z)
accuracy0.0
(+.f64 #s(literal 1 binary64) (-.f64 y z))
accuracy6.261688913670867
(*.f64 (/.f64 x z) (+.f64 #s(literal 1 binary64) (-.f64 y z)))
accuracy0.0
(-.f64 y #s(literal -1 binary64))
accuracy0.0078125
(*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))))
accuracy6.429278109975785
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z)
accuracy24.09188651106285
#s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))
accuracy0.0
(*.f64 y x)
accuracy6.429278109975785
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
accuracy37.83457586401175
#s(approx (* x (+ (- y z) 1)) (*.f64 y x))
accuracy0.0
(neg.f64 x)
accuracy39.02730208865868
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
accuracy0.0
(-.f64 y z)
accuracy0.0
(+.f64 #s(literal 1 binary64) (-.f64 y z))
accuracy0.02734375
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 y z)) z)
accuracy2.242809422385084
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 y z)) z) x)
Samples
53.0ms256×0valid
Compiler

Compiled 116 to 19 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-sub: 12.0ms (37.2% of total)
ival-add: 7.0ms (21.7% of total)
ival-mult: 6.0ms (18.6% of total)
ival-div: 5.0ms (15.5% of total)
ival-neg: 1.0ms (3.1% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series17.0ms (0.3%)

Memory
2.3MiB live, 45.7MiB allocated; 9ms collecting garbage
Counts
15 → 48
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 y z)) z) x)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 y z)) z)
(+.f64 #s(literal 1 binary64) (-.f64 y z))
(-.f64 y z)
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
(neg.f64 x)
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
#s(approx (* x (+ (- y z) 1)) (*.f64 y x))
(*.f64 y x)
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z)
(*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))))
#s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))
(-.f64 y #s(literal -1 binary64))
(*.f64 (/.f64 x z) (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(/.f64 x z)
Outputs
(/ (* x (- (+ 1 y) z)) z)
(* -1 x)
(* x (- (+ 1 y) z))
(* x y)
(/ x z)
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/ (- 1 z) z)
(- (+ (/ 1 z) (/ y z)) 1)
(- 1 z)
(- (+ 1 y) z)
(* -1 z)
(- y z)
(* x (- 1 z))
(+ (* x y) (* x (- 1 z)))
1
(+ 1 y)
(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/ y z)
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y)))
y
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* y (+ 1 (* -1 (/ z y))))
(* y (+ x (/ (* x (- 1 z)) y)))
(* y (+ 1 (/ 1 y)))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ 1 y) z)
(/ (+ 1 (+ y (* -1 z))) z)
(+ 1 (+ y (* -1 z)))
(+ y (* -1 z))
(* x (+ 1 y))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
-1
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* z (- (/ y z) 1))
(* -1 (* x z))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
Calls

9 calls:

TimeVariablePointExpression
6.0ms
y
@inf
((* (/ (+ 1 (- y z)) z) x) (/ (+ 1 (- y z)) z) (+ 1 (- y z)) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* y x) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (- y z) 1) (- y -1) (* (/ x z) (+ 1 (- y z))) (/ x z))
3.0ms
x
@-inf
((* (/ (+ 1 (- y z)) z) x) (/ (+ 1 (- y z)) z) (+ 1 (- y z)) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* y x) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (- y z) 1) (- y -1) (* (/ x z) (+ 1 (- y z))) (/ x z))
1.0ms
x
@inf
((* (/ (+ 1 (- y z)) z) x) (/ (+ 1 (- y z)) z) (+ 1 (- y z)) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* y x) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (- y z) 1) (- y -1) (* (/ x z) (+ 1 (- y z))) (/ x z))
1.0ms
y
@-inf
((* (/ (+ 1 (- y z)) z) x) (/ (+ 1 (- y z)) z) (+ 1 (- y z)) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* y x) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (- y z) 1) (- y -1) (* (/ x z) (+ 1 (- y z))) (/ x z))
1.0ms
z
@-inf
((* (/ (+ 1 (- y z)) z) x) (/ (+ 1 (- y z)) z) (+ 1 (- y z)) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* y x) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (- y z) 1) (- y -1) (* (/ x z) (+ 1 (- y z))) (/ x z))

simplify128.0ms (2.5%)

Memory
-12.6MiB live, 177.4MiB allocated; 18ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095253
1315253
21082253
33650250
47827250
08597235
Stop Event
iter limit
node limit
Counts
48 → 47
Calls
Call 1
Inputs
(/ (* x (- (+ 1 y) z)) z)
(* -1 x)
(* x (- (+ 1 y) z))
(* x y)
(/ x z)
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/ (- 1 z) z)
(- (+ (/ 1 z) (/ y z)) 1)
(- 1 z)
(- (+ 1 y) z)
(* -1 z)
(- y z)
(* x (- 1 z))
(+ (* x y) (* x (- 1 z)))
1
(+ 1 y)
(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/ y z)
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y)))
y
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* y (+ 1 (* -1 (/ z y))))
(* y (+ x (/ (* x (- 1 z)) y)))
(* y (+ 1 (/ 1 y)))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ 1 y) z)
(/ (+ 1 (+ y (* -1 z))) z)
(+ 1 (+ y (* -1 z)))
(+ y (* -1 z))
(* x (+ 1 y))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
-1
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* z (- (/ y z) 1))
(* -1 (* x z))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
Outputs
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 x)
(neg.f64 x)
(* x (- (+ 1 y) z))
(fma.f64 (-.f64 y z) x x)
(* x y)
(*.f64 x y)
(/ x z)
(/.f64 x z)
(/ (* x (- 1 z)) z)
(-.f64 (/.f64 x z) x)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (- 1 z) z)
(/.f64 (-.f64 #s(literal 1 binary64) z) z)
(- (+ (/ 1 z) (/ y z)) 1)
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) z) z)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
(- (+ 1 y) z)
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* -1 z)
(neg.f64 z)
(- y z)
(-.f64 y z)
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+ (* x y) (* x (- 1 z)))
(fma.f64 (-.f64 y z) x x)
1
#s(literal 1 binary64)
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ y z)
(/.f64 y z)
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y)))
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) z) z)
y
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* y (+ 1 (* -1 (/ z y))))
(-.f64 y z)
(* y (+ x (/ (* x (- 1 z)) y)))
(fma.f64 (-.f64 y z) x x)
(* y (+ 1 (/ 1 y)))
(-.f64 y #s(literal -1 binary64))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z))))
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) z) z)
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) z) y) #s(literal 1 binary64)))
(* -1 (* y (- (/ z y) 1)))
(-.f64 y z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(fma.f64 (-.f64 y z) x x)
(/ (* x (+ 1 y)) z)
(/.f64 (fma.f64 x y x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ 1 y) z)
(/.f64 (-.f64 y #s(literal -1 binary64)) z)
(/ (+ 1 (+ y (* -1 z))) z)
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) z) z)
(+ 1 (+ y (* -1 z)))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(+ y (* -1 z))
(-.f64 y z)
(* x (+ 1 y))
(fma.f64 x y x)
(+ (* -1 (* x z)) (* x (+ 1 y)))
(fma.f64 (-.f64 y z) x x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
-1
#s(literal -1 binary64)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* -1 (* x z))
(*.f64 (neg.f64 z) x)
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(fma.f64 (-.f64 y z) x x)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(fma.f64 (-.f64 y z) x x)

rewrite206.0ms (4%)

Memory
39.0MiB live, 228.9MiB allocated; 74ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024113
036113
1124113
2831113
08541108
Stop Event
iter limit
node limit
iter limit
Counts
15 → 656
Calls
Call 1
Inputs
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 y z)) z) x)
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 y z)) z)
(+.f64 #s(literal 1 binary64) (-.f64 y z))
(-.f64 y z)
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
(neg.f64 x)
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
#s(approx (* x (+ (- y z) 1)) (*.f64 y x))
(*.f64 y x)
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z)
(*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))))
#s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))
(-.f64 y #s(literal -1 binary64))
(*.f64 (/.f64 x z) (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(/.f64 x z)
Outputs
(*.f64 (/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) x) z) (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) (-.f64 y z) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) x) z) (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 (-.f64 y z) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) x) z) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 3 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) (-.f64 y z)))
(*.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) x) z) (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64)))) (+.f64 (-.f64 y z) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) x) z) (-.f64 (pow.f64 (-.f64 y z) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (-.f64 y z))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) x) z) (+.f64 (pow.f64 (-.f64 y z) #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (-.f64 y z) #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 y z)) (pow.f64 (-.f64 y z) #s(literal 2 binary64))))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal 1 binary64)) x) z) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64))) #s(literal 2 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y z) #s(literal 2 binary64))) (-.f64 y z)))
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(fma.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 x z)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 z (+.f64 z y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 z (+.f64 z y)) (-.f64 (*.f64 z (+.f64 z y)) (*.f64 y y)))) (/.f64 x z))
(fma.f64 (/.f64 (*.f64 (/.f64 x z) (*.f64 (+.f64 z y) (-.f64 y z))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 y y (*.f64 z (-.f64 z y))) (/.f64 x z))
(fma.f64 (/.f64 (*.f64 (/.f64 x z) (*.f64 (+.f64 z y) (-.f64 y z))) (*.f64 (+.f64 z y) (-.f64 y z))) (-.f64 y z) (/.f64 x z))
(fma.f64 (/.f64 (*.f64 (/.f64 x z) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 z (+.f64 z y)) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 z (+.f64 z y))) (/.f64 x z))
(fma.f64 (/.f64 (*.f64 (/.f64 x z) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (*.f64 z (+.f64 z y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 z (+.f64 z y)) (-.f64 (*.f64 z (+.f64 z y)) (*.f64 y y)))) (/.f64 x z))
(fma.f64 (/.f64 (*.f64 (*.f64 x (+.f64 z y)) (-.f64 y z)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (*.f64 z (-.f64 z y)) (/.f64 x z))
(fma.f64 (/.f64 (*.f64 (*.f64 x (+.f64 z y)) (-.f64 y z)) (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64)))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (pow.f64 z #s(literal 3 binary64)) y))) (/.f64 x z))
(fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) x (*.f64 (/.f64 (-.f64 y z) z) x))
(fma.f64 (*.f64 (/.f64 (-.f64 y z) z) #s(literal 1 binary64)) x (/.f64 x z))
(fma.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 y z))) (/.f64 x z) (*.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 x z)))
(fma.f64 (pow.f64 (fma.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x z) (*.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (fma.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 x z)))
(fma.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 1 binary64) (/.f64 x z))
(fma.f64 (/.f64 (-.f64 y z) z) x (/.f64 x z))
(fma.f64 (pow.f64 z #s(literal -1 binary64)) x (*.f64 (/.f64 (-.f64 y z) z) x))
(fma.f64 (/.f64 x z) (/.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 y z))) (*.f64 (/.f64 x z) (pow.f64 (-.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 y z)) #s(literal -1 binary64))))
(fma.f64 (/.f64 x z) (pow.f64 (fma.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 x z) (/.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (fma.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 x z) (-.f64 y z) (/.f64 x z))
(fma.f64 (/.f64 x z) #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 y z) z) x))
(fma.f64 x (*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) (*.f64 (/.f64 (-.f64 y z) z) x))
(fma.f64 x (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) z)) (/.f64 x z))
(fma.f64 x (/.f64 (-.f64 y z) z) (/.f64 x z))
(fma.f64 x (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 (-.f64 y z) z) x))
(fma.f64 (-.f64 y z) (/.f64 x z) (/.f64 x z))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 y z) z) x) (/.f64 x z))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (*.f64 (/.f64 (-.f64 y z) z) x))
(-.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) (-.f64 y z)))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 2 binary64)) (*.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) (-.f64 y z)))))
(-.f64 (*.f64 (/.f64 (-.f64 y z) z) x) (/.f64 (neg.f64 x) z))
(-.f64 (/.f64 x z) (*.f64 (neg.f64 (/.f64 (-.f64 y z) z)) x))
(-.f64 (/.f64 x z) (*.f64 (neg.f64 x) (/.f64 (-.f64 y z) z)))
(-.f64 (/.f64 x z) (*.f64 (/.f64 (neg.f64 x) z) (-.f64 y z)))
(+.f64 (*.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 y z))) (/.f64 x z)) (*.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 x z)))
(+.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x z)) (*.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (fma.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 x z)))
(+.f64 (*.f64 (/.f64 x z) (/.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 y z)))) (*.f64 (/.f64 x z) (pow.f64 (-.f64 (+.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 y z)) #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 x z) (pow.f64 (fma.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 x z) (/.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) (fma.f64 (-.f64 y z) (+.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(+.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 2 binary64)) (*.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 y z))))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 2 binary64)) (*.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (-.f64 y z))))))
(+.f64 (*.f64 (/.f64 (-.f64 y z) z) x) (/.f64 x z))
(+.f64 (/.f64 x z) (*.f64 (/.f64 (-.f64 y z) z) x))
(*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(*.f64 (pow.f64 z #s(literal -1 binary64)) x)
(*.f64 (/.f64 x z) #s(literal 1 binary64))
(*.f64 x (*.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))))
(*.f64 x (pow.f64 z #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 x z)
(neg.f64 (/.f64 (neg.f64 x) z))

eval103.0ms (2%)

Memory
-15.8MiB live, 132.5MiB allocated; 27ms collecting garbage
Compiler

Compiled 16 287 to 1 850 computations (88.6% saved)

prune16.0ms (0.3%)

Memory
-2.0MiB live, 42.5MiB allocated; 6ms collecting garbage
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New5955600
Fresh235
Picked325
Done000
Total60010610
Accuracy
100.0%
Counts
610 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.7%
(fma.f64 (/.f64 (-.f64 y z) z) x (/.f64 x z))
89.9%
(/.f64 (fma.f64 (-.f64 y z) x x) z)
60.9%
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
39.2%
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
59.3%
(*.f64 (/.f64 #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) z) x)
96.5%
(*.f64 (-.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) #s(literal 1 binary64)) x)
37.7%
(*.f64 #s(approx (/ (+ 1 (- y z)) z) (/.f64 y z)) x)
65.0%
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
39.0%
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
40.3%
#s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y))
Compiler

Compiled 219 to 168 computations (23.3% saved)

simplify108.0ms (2.1%)

Memory
-8.7MiB live, 93.8MiB allocated; 10ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x z)
cost-diff0
(-.f64 y z)
cost-diff0
(/.f64 (-.f64 y z) z)
cost-diff2
(fma.f64 (/.f64 (-.f64 y z) z) x (/.f64 x z))
cost-diff0
(-.f64 y #s(literal -1 binary64))
cost-diff0
#s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))
cost-diff0
(/.f64 #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) z)
cost-diff0
(*.f64 (/.f64 #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) z) x)
cost-diff0
(/.f64 y z)
cost-diff0
#s(approx (/ (+ 1 (- y z)) z) (/.f64 y z))
cost-diff0
(*.f64 #s(approx (/ (+ 1 (- y z)) z) (/.f64 y z)) x)
cost-diff0
(/.f64 x z)
cost-diff0
(-.f64 (/.f64 x z) x)
cost-diff0
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
cost-diff0
(+.f64 y #s(literal 1 binary64))
cost-diff0
(/.f64 (+.f64 y #s(literal 1 binary64)) z)
cost-diff0
(-.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) #s(literal 1 binary64))
cost-diff1
(*.f64 (-.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) #s(literal 1 binary64)) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028147
043146
173146
2121146
3240146
4531146
51262146
62147146
72815146
83727146
96152146
107333146
08039143
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) #s(literal 1 binary64)) x)
(-.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) #s(literal 1 binary64))
(/.f64 (+.f64 y #s(literal 1 binary64)) z)
(+.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
z
x
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
(-.f64 (/.f64 x z) x)
(/.f64 x z)
x
z
(*.f64 #s(approx (/ (+ 1 (- y z)) z) (/.f64 y z)) x)
#s(approx (/ (+ 1 (- y z)) z) (/.f64 y z))
(/.f64 y z)
y
z
x
(*.f64 (/.f64 #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) z) x)
(/.f64 #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) z)
#s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))
(-.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
z
x
(fma.f64 (/.f64 (-.f64 y z) z) x (/.f64 x z))
(/.f64 (-.f64 y z) z)
(-.f64 y z)
y
z
x
(/.f64 x z)
Outputs
(*.f64 (-.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(-.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) #s(literal 1 binary64))
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z)
(/.f64 (+.f64 y #s(literal 1 binary64)) z)
(/.f64 (+.f64 #s(literal 1 binary64) y) z)
(+.f64 y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) y)
y
#s(literal 1 binary64)
z
x
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
(-.f64 (/.f64 x z) x)
(/.f64 x z)
x
z
(*.f64 #s(approx (/ (+ 1 (- y z)) z) (/.f64 y z)) x)
#s(approx (/ (+ 1 (- y z)) z) (/.f64 y z))
(/.f64 y z)
y
z
x
(*.f64 (/.f64 #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) z) x)
(*.f64 #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) (/.f64 x z))
(/.f64 #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) z)
#s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))
(-.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
z
x
(fma.f64 (/.f64 (-.f64 y z) z) x (/.f64 x z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/.f64 (-.f64 y z) z)
(-.f64 y z)
y
z
x
(/.f64 x z)

localize112.0ms (2.2%)

Memory
4.0MiB live, 194.8MiB allocated; 15ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 x z)
accuracy0.0
(-.f64 y z)
accuracy0.015625
(/.f64 (-.f64 y z) z)
accuracy4.637317965509063
(fma.f64 (/.f64 (-.f64 y z) z) x (/.f64 x z))
accuracy0.0
(-.f64 y #s(literal -1 binary64))
accuracy0.02734375
(/.f64 #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) z)
accuracy2.242809422385084
(*.f64 (/.f64 #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) z) x)
accuracy24.09188651106285
#s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))
accuracy0.0
(/.f64 y z)
accuracy2.242809422385084
(*.f64 #s(approx (/ (+ 1 (- y z)) z) (/.f64 y z)) x)
accuracy38.46178707835356
#s(approx (/ (+ 1 (- y z)) z) (/.f64 y z))
accuracy0.0
(/.f64 x z)
accuracy0.00390625
(-.f64 (/.f64 x z) x)
accuracy22.390267405760447
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
accuracy0.0
(+.f64 y #s(literal 1 binary64))
accuracy0.00390625
(-.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) #s(literal 1 binary64))
accuracy0.01953125
(/.f64 (+.f64 y #s(literal 1 binary64)) z)
accuracy2.242809422385084
(*.f64 (-.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) #s(literal 1 binary64)) x)
Samples
82.0ms256×0valid
Compiler

Compiled 124 to 27 computations (78.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-div: 37.0ms (59% of total)
ival-add: 12.0ms (19.1% of total)
ival-mult: 8.0ms (12.8% of total)
ival-sub: 5.0ms (8% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series25.0ms (0.5%)

Memory
8.5MiB live, 53.8MiB allocated; 5ms collecting garbage
Counts
17 → 61
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) #s(literal 1 binary64)) x)
(-.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) #s(literal 1 binary64))
(/.f64 (+.f64 y #s(literal 1 binary64)) z)
(+.f64 y #s(literal 1 binary64))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
(-.f64 (/.f64 x z) x)
(/.f64 x z)
(*.f64 #s(approx (/ (+ 1 (- y z)) z) (/.f64 y z)) x)
#s(approx (/ (+ 1 (- y z)) z) (/.f64 y z))
(/.f64 y z)
(*.f64 (/.f64 #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) z) x)
(/.f64 #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) z)
#s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))
(-.f64 y #s(literal -1 binary64))
(fma.f64 (/.f64 (-.f64 y z) z) x (/.f64 x z))
(/.f64 (-.f64 y z) z)
(-.f64 y z)
Outputs
(* x (- (+ (/ 1 z) (/ y z)) 1))
(/ (* x (- (+ 1 y) z)) z)
(* x (- (/ 1 z) 1))
(/ x z)
(* -1 (* x (- 1 (/ 1 z))))
(* -1 (* x (- (* -1 (/ (- y z) z)) (/ 1 z))))
(+ (* x (- (/ 1 z) 1)) (/ (* x y) z))
(- (/ 1 z) 1)
(- (+ (/ 1 z) (/ y z)) 1)
(/ 1 z)
(+ (/ 1 z) (/ y z))
1
(+ 1 y)
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/ (- 1 z) z)
(/ y z)
(- 1 z)
(- (+ 1 y) z)
(+ (* -1 x) (/ x z))
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
-1
(- (/ y z) 1)
(* -1 z)
(- y z)
(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- (/ 1 z) 1)) y)))
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y)))
(* y (+ (/ 1 z) (/ 1 (* y z))))
y
(* y (+ 1 (/ 1 y)))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z)))))
(* y (- (/ 1 z) (/ 1 y)))
(* y (+ 1 (* -1 (/ z y))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- (/ 1 z) 1)) y)))))
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y)))))
(* -1 (* y (- (/ 1 y) (/ 1 z))))
(* -1 (* y (- (/ z y) 1)))
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ 1 y) z)
(/ (+ 1 (+ y (* -1 z))) z)
(/ (+ x (* -1 (* x z))) z)
(+ 1 (+ y (* -1 z)))
(/ (+ x (* x y)) z)
(/ (+ x (+ (* -1 (* x z)) (* x y))) z)
(/ (+ y (* -1 z)) z)
(+ y (* -1 z))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(- (/ x z) x)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* z (- (/ y z) 1))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (* x y))) z)))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
Calls

9 calls:

TimeVariablePointExpression
5.0ms
y
@-inf
((* (- (/ (+ y 1) z) 1) x) (- (/ (+ y 1) z) 1) (/ (+ y 1) z) (+ y 1) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (* (/ (+ 1 (- y z)) z) x) (/ (+ 1 (- y z)) z) (/ y z) (* (/ (+ (- y z) 1) z) x) (/ (+ (- y z) 1) z) (+ (- y z) 1) (- y -1) (+ (* (/ (- y z) z) x) (/ x z)) (/ (- y z) z) (- y z))
4.0ms
y
@inf
((* (- (/ (+ y 1) z) 1) x) (- (/ (+ y 1) z) 1) (/ (+ y 1) z) (+ y 1) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (* (/ (+ 1 (- y z)) z) x) (/ (+ 1 (- y z)) z) (/ y z) (* (/ (+ (- y z) 1) z) x) (/ (+ (- y z) 1) z) (+ (- y z) 1) (- y -1) (+ (* (/ (- y z) z) x) (/ x z)) (/ (- y z) z) (- y z))
2.0ms
z
@-inf
((* (- (/ (+ y 1) z) 1) x) (- (/ (+ y 1) z) 1) (/ (+ y 1) z) (+ y 1) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (* (/ (+ 1 (- y z)) z) x) (/ (+ 1 (- y z)) z) (/ y z) (* (/ (+ (- y z) 1) z) x) (/ (+ (- y z) 1) z) (+ (- y z) 1) (- y -1) (+ (* (/ (- y z) z) x) (/ x z)) (/ (- y z) z) (- y z))
2.0ms
x
@-inf
((* (- (/ (+ y 1) z) 1) x) (- (/ (+ y 1) z) 1) (/ (+ y 1) z) (+ y 1) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (* (/ (+ 1 (- y z)) z) x) (/ (+ 1 (- y z)) z) (/ y z) (* (/ (+ (- y z) 1) z) x) (/ (+ (- y z) 1) z) (+ (- y z) 1) (- y -1) (+ (* (/ (- y z) z) x) (/ x z)) (/ (- y z) z) (- y z))
2.0ms
x
@0
((* (- (/ (+ y 1) z) 1) x) (- (/ (+ y 1) z) 1) (/ (+ y 1) z) (+ y 1) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ x z) (* (/ (+ 1 (- y z)) z) x) (/ (+ 1 (- y z)) z) (/ y z) (* (/ (+ (- y z) 1) z) x) (/ (+ (- y z) 1) z) (+ (- y z) 1) (- y -1) (+ (* (/ (- y z) z) x) (/ x z)) (/ (- y z) z) (- y z))

simplify165.0ms (3.2%)

Memory
-28.1MiB live, 161.1MiB allocated; 35ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0134361
1426361
21449349
34470348
08185330
Stop Event
iter limit
node limit
Counts
61 → 60
Calls
Call 1
Inputs
(* x (- (+ (/ 1 z) (/ y z)) 1))
(/ (* x (- (+ 1 y) z)) z)
(* x (- (/ 1 z) 1))
(/ x z)
(* -1 (* x (- 1 (/ 1 z))))
(* -1 (* x (- (* -1 (/ (- y z) z)) (/ 1 z))))
(+ (* x (- (/ 1 z) 1)) (/ (* x y) z))
(- (/ 1 z) 1)
(- (+ (/ 1 z) (/ y z)) 1)
(/ 1 z)
(+ (/ 1 z) (/ y z))
1
(+ 1 y)
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/ (- 1 z) z)
(/ y z)
(- 1 z)
(- (+ 1 y) z)
(+ (* -1 x) (/ x z))
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
-1
(- (/ y z) 1)
(* -1 z)
(- y z)
(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- (/ 1 z) 1)) y)))
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y)))
(* y (+ (/ 1 z) (/ 1 (* y z))))
y
(* y (+ 1 (/ 1 y)))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z)))))
(* y (- (/ 1 z) (/ 1 y)))
(* y (+ 1 (* -1 (/ z y))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- (/ 1 z) 1)) y)))))
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y)))))
(* -1 (* y (- (/ 1 y) (/ 1 z))))
(* -1 (* y (- (/ z y) 1)))
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ 1 y) z)
(/ (+ 1 (+ y (* -1 z))) z)
(/ (+ x (* -1 (* x z))) z)
(+ 1 (+ y (* -1 z)))
(/ (+ x (* x y)) z)
(/ (+ x (+ (* -1 (* x z)) (* x y))) z)
(/ (+ y (* -1 z)) z)
(+ y (* -1 z))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(- (/ x z) x)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* z (- (/ y z) 1))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (* x y))) z)))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
Outputs
(* x (- (+ (/ 1 z) (/ y z)) 1))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* x (- (/ 1 z) 1))
(-.f64 (/.f64 x z) x)
(/ x z)
(/.f64 x z)
(* -1 (* x (- 1 (/ 1 z))))
(-.f64 (/.f64 x z) x)
(* -1 (* x (- (* -1 (/ (- y z) z)) (/ 1 z))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ (* x (- (/ 1 z) 1)) (/ (* x y) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(- (/ 1 z) 1)
(/.f64 (-.f64 #s(literal 1 binary64) z) z)
(- (+ (/ 1 z) (/ y z)) 1)
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(+ (/ 1 z) (/ y z))
(/.f64 (-.f64 y #s(literal -1 binary64)) z)
1
#s(literal 1 binary64)
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(/ (* x (- 1 z)) z)
(-.f64 (/.f64 x z) x)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (- 1 z) z)
(/.f64 (-.f64 #s(literal 1 binary64) z) z)
(/ y z)
(/.f64 y z)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
(- (+ 1 y) z)
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(+ (* -1 x) (/ x z))
(-.f64 (/.f64 x z) x)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
-1
#s(literal -1 binary64)
(- (/ y z) 1)
(/.f64 (-.f64 y z) z)
(* -1 z)
(neg.f64 z)
(- y z)
(-.f64 y z)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(* y (+ (/ x z) (/ (* x (- (/ 1 z) 1)) y)))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y)))
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z)
(* y (+ (/ 1 z) (/ 1 (* y z))))
(/.f64 (-.f64 y #s(literal -1 binary64)) z)
y
(* y (+ 1 (/ 1 y)))
(-.f64 y #s(literal -1 binary64))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z)))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* y (- (/ 1 z) (/ 1 y)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) y)) y)
(* y (+ 1 (* -1 (/ z y))))
(-.f64 y z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- (/ 1 z) 1)) y)))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z))))
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) z) y) #s(literal 1 binary64)))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y)))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 (* y (- (/ 1 y) (/ 1 z))))
(/.f64 (-.f64 y z) z)
(* -1 (* y (- (/ z y) 1)))
(-.f64 y z)
(/ (* x (+ 1 y)) z)
(/.f64 (fma.f64 x y x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ 1 y) z)
(/.f64 (-.f64 y #s(literal -1 binary64)) z)
(/ (+ 1 (+ y (* -1 z))) z)
(/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z)
(/ (+ x (* -1 (* x z))) z)
(-.f64 (/.f64 x z) x)
(+ 1 (+ y (* -1 z)))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(/ (+ x (* x y)) z)
(/.f64 (fma.f64 x y x) z)
(/ (+ x (+ (* -1 (* x z)) (* x y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (+ y (* -1 z)) z)
(/.f64 (-.f64 y z) z)
(+ y (* -1 z))
(-.f64 y z)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(* z (- (/ y z) 1))
(-.f64 y z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(+ (* -1 x) (* -1 (/ (+ (* -1 x) (* -1 (* x y))) z)))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)

rewrite229.0ms (4.4%)

Memory
31.6MiB live, 218.7MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028128
043127
1172127
21252127
08404124
Stop Event
iter limit
node limit
iter limit
Counts
17 → 482
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) #s(literal 1 binary64)) x)
(-.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) #s(literal 1 binary64))
(/.f64 (+.f64 y #s(literal 1 binary64)) z)
(+.f64 y #s(literal 1 binary64))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
(-.f64 (/.f64 x z) x)
(/.f64 x z)
(*.f64 #s(approx (/ (+ 1 (- y z)) z) (/.f64 y z)) x)
#s(approx (/ (+ 1 (- y z)) z) (/.f64 y z))
(/.f64 y z)
(*.f64 (/.f64 #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) z) x)
(/.f64 #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) z)
#s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))
(-.f64 y #s(literal -1 binary64))
(fma.f64 (/.f64 (-.f64 y z) z) x (/.f64 x z))
(/.f64 (-.f64 y z) z)
(-.f64 y z)
Outputs
(*.f64 (/.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))) (/.f64 (expm1.f64 (*.f64 (-.f64 (log1p.f64 y) (log.f64 z)) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (-.f64 (+.f64 #s(literal 1 binary64) y) z) (/.f64 x z))
(*.f64 x (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)))
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) x) (*.f64 (pow.f64 z #s(literal -1 binary64)) x)) (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 2 binary64))) (-.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) x) (*.f64 (/.f64 (-.f64 y z) z) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64))) (*.f64 x (pow.f64 z #s(literal -1 binary64)))) (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 2 binary64))) (-.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64))) (*.f64 (/.f64 (-.f64 y z) z) x)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (/.f64 (-.f64 x (*.f64 (-.f64 y z) x)) z) (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (/.f64 (-.f64 x (*.f64 (-.f64 y z) x)) z) (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (/.f64 (-.f64 x (*.f64 (-.f64 y z) x)) z) (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (/.f64 (-.f64 x (*.f64 (-.f64 y z) x)) z) (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (/.f64 (-.f64 x (*.f64 (-.f64 y z) x)) z) (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (/.f64 (-.f64 x (*.f64 (-.f64 y z) x)) z) (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (-.f64 y z) x) x) z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (-.f64 y z) x) x) z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (-.f64 y z) x) x) z)) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (-.f64 y z) x) x) z)) (fma.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (-.f64 y z) x) x) z)) (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (-.f64 y z) x) x) z)) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (-.f64 y z) x) x) z)) (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (-.f64 y z) x) x) z))))))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (/.f64 (-.f64 y z) z)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 (/.f64 (-.f64 y z) z)) x) (*.f64 (neg.f64 (/.f64 (-.f64 y z) z)) x) (*.f64 (/.f64 x z) (*.f64 (neg.f64 (/.f64 (-.f64 y z) z)) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (/.f64 (-.f64 y z) z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 x) (/.f64 (-.f64 y z) z)) (*.f64 (neg.f64 x) (/.f64 (-.f64 y z) z)) (*.f64 (/.f64 x z) (*.f64 (neg.f64 x) (/.f64 (-.f64 y z) z))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) x) (*.f64 (pow.f64 z #s(literal -1 binary64)) x) (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) x) (*.f64 (/.f64 (-.f64 y z) z) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 3 binary64))) (fma.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64))) (*.f64 x (pow.f64 z #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 2 binary64)) (*.f64 (*.f64 x (pow.f64 z #s(literal -1 binary64))) (*.f64 (/.f64 (-.f64 y z) z) x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (/.f64 (-.f64 x (*.f64 (-.f64 y z) x)) z) (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (/.f64 (-.f64 x (*.f64 (-.f64 y z) x)) z) (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (/.f64 (-.f64 x (*.f64 (-.f64 y z) x)) z) (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (/.f64 (-.f64 x (*.f64 (-.f64 y z) x)) z) (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (/.f64 (-.f64 x (*.f64 (-.f64 y z) x)) z) (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (/.f64 (-.f64 x (*.f64 (-.f64 y z) x)) z) (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (/.f64 (-.f64 x (*.f64 (-.f64 y z) x)) z) (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (fma.f64 (/.f64 x z) (/.f64 (-.f64 x (*.f64 (-.f64 y z) x)) z) (pow.f64 (*.f64 (/.f64 (-.f64 y z) z) x) #s(literal 2 binary64))))))))
(/.f64 (fma.f64 (neg.f64 (-.f64 y z)) x (neg.f64 x)) (neg.f64 z))
(/.f64 (fma.f64 x (neg.f64 (-.f64 y z)) (neg.f64 x)) (neg.f64 z))
(/.f64 (+.f64 (neg.f64 x) (*.f64 (neg.f64 (-.f64 y z)) x)) (neg.f64 z))
(/.f64 (+.f64 (neg.f64 x) (*.f64 x (neg.f64 (-.f64 y z)))) (neg.f64 z))
(/.f64 (+.f64 (neg.f64 x) (neg.f64 (*.f64 (-.f64 y z) x))) (neg.f64 z))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (*.f64 (-.f64 (log1p.f64 y) (log.f64 z)) #s(literal 2 binary64))) x)) (neg.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))))
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(-.f64 (/.f64 (/.f64 (*.f64 y y) (+.f64 z y)) z) (/.f64 (/.f64 (*.f64 z z) (+.f64 z y)) z))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) z) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) z))
(-.f64 (/.f64 y z) #s(literal 1 binary64))
(+.f64 (/.f64 (*.f64 y y) (*.f64 (+.f64 z y) z)) (/.f64 (*.f64 (neg.f64 z) z) (*.f64 (+.f64 z y) z)))
(*.f64 (-.f64 y z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 y z))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 z y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (+.f64 z y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 y y) (+.f64 z y)) (fma.f64 (/.f64 (*.f64 z z) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y)) (*.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 y z)) #s(literal 1 binary64))) (neg.f64 (+.f64 z y)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 z (+.f64 z y) (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 z y) (-.f64 y z)))) (neg.f64 (+.f64 z y)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (fma.f64 z (+.f64 z y) (*.f64 y y))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 z y) (-.f64 y z)))) (neg.f64 (neg.f64 (+.f64 z y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 z y)) (*.f64 (+.f64 z y) (*.f64 z z))) (pow.f64 (+.f64 z y) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 y z)) #s(literal 1 binary64)) (+.f64 z y))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 z y) (-.f64 y z))) (+.f64 z y))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (*.f64 y y)))
(/.f64 (neg.f64 (*.f64 (+.f64 z y) (-.f64 y z))) (neg.f64 (+.f64 z y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (+.f64 z y) (*.f64 y y))))
(/.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (+.f64 z y))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 z y) (*.f64 y y)))
(-.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y)))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))))
(-.f64 y z)
(+.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z y)))

eval62.0ms (1.2%)

Memory
2.4MiB live, 149.6MiB allocated; 14ms collecting garbage
Compiler

Compiled 10 637 to 1 654 computations (84.5% saved)

prune11.0ms (0.2%)

Memory
7.7MiB live, 54.0MiB allocated; 3ms collecting garbage
Pruning

11 alts after pruning (4 fresh and 7 done)

PrunedKeptTotal
New4181419
Fresh033
Picked055
Done022
Total41811429
Accuracy
100.0%
Counts
429 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.7%
(fma.f64 (/.f64 (-.f64 y z) z) x (/.f64 x z))
89.9%
(/.f64 (fma.f64 (-.f64 y z) x x) z)
60.9%
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
39.2%
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
59.3%
(*.f64 (/.f64 #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) z) x)
96.5%
(*.f64 (-.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) #s(literal 1 binary64)) x)
64.9%
(*.f64 (-.f64 (/.f64 #s(approx (+ y 1) #s(literal 1 binary64)) z) #s(literal 1 binary64)) x)
37.7%
(*.f64 #s(approx (/ (+ 1 (- y z)) z) (/.f64 y z)) x)
65.0%
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
39.0%
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
40.3%
#s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y))
Compiler

Compiled 133 to 104 computations (21.8% saved)

simplify167.0ms (3.2%)

Memory
-16.1MiB live, 129.1MiB allocated; 7ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
024114
036111
168111
2113111
3247111
4549111
51189111
61770111
72016111
82672111
95086111
107615111
08173111
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 x z) y)
(/.f64 x z)
x
z
y
(*.f64 (-.f64 (/.f64 #s(approx (+ y 1) #s(literal 1 binary64)) z) #s(literal 1 binary64)) x)
(-.f64 (/.f64 #s(approx (+ y 1) #s(literal 1 binary64)) z) #s(literal 1 binary64))
(/.f64 #s(approx (+ y 1) #s(literal 1 binary64)) z)
#s(approx (+ y 1) #s(literal 1 binary64))
#s(literal 1 binary64)
z
x
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
#s(approx (* x (+ (- y z) 1)) (fma.f64 y x x))
(fma.f64 y x x)
y
x
z
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(fma.f64 (-.f64 y z) x x)
(-.f64 y z)
y
z
x
Outputs
#s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 x z) y)
(/.f64 x z)
x
z
y
(*.f64 (-.f64 (/.f64 #s(approx (+ y 1) #s(literal 1 binary64)) z) #s(literal 1 binary64)) x)
(-.f64 (/.f64 #s(approx (+ y 1) #s(literal 1 binary64)) z) #s(literal 1 binary64))
(/.f64 #s(approx (+ y 1) #s(literal 1 binary64)) z)
#s(approx (+ y 1) #s(literal 1 binary64))
#s(literal 1 binary64)
z
x
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 x y x)) z)
#s(approx (* x (+ (- y z) 1)) (fma.f64 y x x))
#s(approx (* x (+ (- y z) 1)) (fma.f64 x y x))
(fma.f64 y x x)
(fma.f64 x y x)
y
x
z
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(-.f64 (/.f64 (fma.f64 x y x) z) x)
(fma.f64 (-.f64 y z) x x)
(-.f64 y z)
y
z
x

localize83.0ms (1.6%)

Memory
-8.6MiB live, 81.0MiB allocated; 10ms collecting garbage
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 y z)
accuracy0.00390625
(fma.f64 (-.f64 y z) x x)
accuracy6.429278109975785
(/.f64 (fma.f64 (-.f64 y z) x x) z)
accuracy0.0
(fma.f64 y x x)
accuracy6.429278109975785
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
accuracy23.536832432966296
#s(approx (* x (+ (- y z) 1)) (fma.f64 y x x))
accuracy0.00390625
(-.f64 (/.f64 #s(approx (+ y 1) #s(literal 1 binary64)) z) #s(literal 1 binary64))
accuracy0.01953125
(/.f64 #s(approx (+ y 1) #s(literal 1 binary64)) z)
accuracy2.242809422385084
(*.f64 (-.f64 (/.f64 #s(approx (+ y 1) #s(literal 1 binary64)) z) #s(literal 1 binary64)) x)
accuracy33.42712615725589
#s(approx (+ y 1) #s(literal 1 binary64))
accuracy0.0
(/.f64 x z)
accuracy4.4898368347513085
(*.f64 (/.f64 x z) y)
accuracy37.689362228311694
#s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y))
Samples
40.0ms256×0valid
Compiler

Compiled 95 to 24 computations (74.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 9.0ms (34% of total)
ival-div: 8.0ms (30.2% of total)
ival-add: 6.0ms (22.7% of total)
ival-sub: 3.0ms (11.3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series23.0ms (0.4%)

Memory
-2.4MiB live, 42.4MiB allocated; 6ms collecting garbage
Counts
13 → 68
Calls
Call 1
Inputs
#s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 x z) y)
(/.f64 x z)
(*.f64 (-.f64 (/.f64 #s(approx (+ y 1) #s(literal 1 binary64)) z) #s(literal 1 binary64)) x)
(-.f64 (/.f64 #s(approx (+ y 1) #s(literal 1 binary64)) z) #s(literal 1 binary64))
(/.f64 #s(approx (+ y 1) #s(literal 1 binary64)) z)
#s(approx (+ y 1) #s(literal 1 binary64))
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
#s(approx (* x (+ (- y z) 1)) (fma.f64 y x x))
(fma.f64 y x x)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(fma.f64 (-.f64 y z) x x)
(-.f64 y z)
Outputs
(/ (* x (- (+ 1 y) z)) z)
(/ (* x y) z)
(/ x z)
(* x (- (+ (/ 1 z) (/ y z)) 1))
(* x (- (+ 1 y) z))
(* x (+ 1 y))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z))
(* -1 (* x (- (* -1 (- y z)) 1)))
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(* x (- (/ 1 z) 1))
(+ (* x (- (/ 1 z) 1)) (/ (* x y) z))
(- (/ 1 z) 1)
(- (+ (/ 1 z) (/ y z)) 1)
(/ 1 z)
(+ (/ 1 z) (/ y z))
1
(+ 1 y)
(* x (- 1 z))
(+ (* x y) (* x (- 1 z)))
x
(+ x (* x y))
(/ (+ x (* -1 (* x z))) z)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* x y)))
(* -1 z)
(- y z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- (/ 1 z) 1)) y)))
(/ y z)
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y)))
(* y (+ (/ 1 z) (/ 1 (* y z))))
y
(* y (+ 1 (/ 1 y)))
(* x y)
(* y (+ x (/ (* x (- 1 z)) y)))
(* y (+ x (/ x y)))
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z)))))
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y))))
(* y (+ 1 (* -1 (/ z y))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- (/ 1 z) 1)) y)))))
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (- (/ z y) 1)))
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ 1 y) z)
(/ (+ 1 (+ y (* -1 z))) z)
(+ (* -1 (* x z)) (* x (+ 1 y)))
(/ (+ x (* x y)) z)
(/ (+ x (+ (* -1 (* x z)) (* x y))) z)
(+ y (* -1 z))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
-1
(* -1 (* x z))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z))))
(* z (- (/ y z) 1))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
Calls

9 calls:

TimeVariablePointExpression
6.0ms
z
@-inf
((* (/ (+ 1 (- y z)) z) x) (* (/ x z) y) (/ x z) (* (- (/ (+ y 1) z) 1) x) (- (/ (+ y 1) z) 1) (/ (+ y 1) z) (+ y 1) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x) (- y z))
3.0ms
x
@-inf
((* (/ (+ 1 (- y z)) z) x) (* (/ x z) y) (/ x z) (* (- (/ (+ y 1) z) 1) x) (- (/ (+ y 1) z) 1) (/ (+ y 1) z) (+ y 1) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x) (- y z))
2.0ms
x
@inf
((* (/ (+ 1 (- y z)) z) x) (* (/ x z) y) (/ x z) (* (- (/ (+ y 1) z) 1) x) (- (/ (+ y 1) z) 1) (/ (+ y 1) z) (+ y 1) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x) (- y z))
2.0ms
y
@-inf
((* (/ (+ 1 (- y z)) z) x) (* (/ x z) y) (/ x z) (* (- (/ (+ y 1) z) 1) x) (- (/ (+ y 1) z) 1) (/ (+ y 1) z) (+ y 1) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x) (- y z))
2.0ms
x
@0
((* (/ (+ 1 (- y z)) z) x) (* (/ x z) y) (/ x z) (* (- (/ (+ y 1) z) 1) x) (- (/ (+ y 1) z) 1) (/ (+ y 1) z) (+ y 1) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x) (- y z))

simplify227.0ms (4.4%)

Memory
44.4MiB live, 230.6MiB allocated; 50ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0144418
1514416
21738410
36090406
08288370
Stop Event
iter limit
node limit
Counts
68 → 66
Calls
Call 1
Inputs
(/ (* x (- (+ 1 y) z)) z)
(/ (* x y) z)
(/ x z)
(* x (- (+ (/ 1 z) (/ y z)) 1))
(* x (- (+ 1 y) z))
(* x (+ 1 y))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z))
(* -1 (* x (- (* -1 (- y z)) 1)))
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(* x (- (/ 1 z) 1))
(+ (* x (- (/ 1 z) 1)) (/ (* x y) z))
(- (/ 1 z) 1)
(- (+ (/ 1 z) (/ y z)) 1)
(/ 1 z)
(+ (/ 1 z) (/ y z))
1
(+ 1 y)
(* x (- 1 z))
(+ (* x y) (* x (- 1 z)))
x
(+ x (* x y))
(/ (+ x (* -1 (* x z))) z)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* x y)))
(* -1 z)
(- y z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- (/ 1 z) 1)) y)))
(/ y z)
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y)))
(* y (+ (/ 1 z) (/ 1 (* y z))))
y
(* y (+ 1 (/ 1 y)))
(* x y)
(* y (+ x (/ (* x (- 1 z)) y)))
(* y (+ x (/ x y)))
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z)))))
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y))))
(* y (+ 1 (* -1 (/ z y))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- (/ 1 z) 1)) y)))))
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (- (/ z y) 1)))
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ 1 y) z)
(/ (+ 1 (+ y (* -1 z))) z)
(+ (* -1 (* x z)) (* x (+ 1 y)))
(/ (+ x (* x y)) z)
(/ (+ x (+ (* -1 (* x z)) (* x y))) z)
(+ y (* -1 z))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
-1
(* -1 (* x z))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z))))
(* z (- (/ y z) 1))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
Outputs
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(/ x z)
(/.f64 x z)
(* x (- (+ (/ 1 z) (/ y z)) 1))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(* x (- (+ 1 y) z))
(fma.f64 x (-.f64 y z) x)
(* x (+ 1 y))
(fma.f64 x y x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 x y x)
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(* -1 (* x (- (* -1 (- y z)) 1)))
(fma.f64 x (-.f64 y z) x)
(/ (* x (- 1 z)) z)
(-.f64 (/.f64 x z) x)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(* x (- (/ 1 z) 1))
(-.f64 (/.f64 x z) x)
(+ (* x (- (/ 1 z) 1)) (/ (* x y) z))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(- (/ 1 z) 1)
(/.f64 (-.f64 #s(literal 1 binary64) z) z)
(- (+ (/ 1 z) (/ y z)) 1)
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) z) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(+ (/ 1 z) (/ y z))
(/.f64 (-.f64 y #s(literal -1 binary64)) z)
1
#s(literal 1 binary64)
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+ (* x y) (* x (- 1 z)))
(fma.f64 x (-.f64 y z) x)
x
(+ x (* x y))
(fma.f64 x y x)
(/ (+ x (* -1 (* x z))) z)
(-.f64 (/.f64 x z) x)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(+ x (* -1 (* x z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+ x (+ (* -1 (* x z)) (* x y)))
(fma.f64 x (-.f64 y z) x)
(* -1 z)
(neg.f64 z)
(- y z)
(-.f64 y z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(* y (+ (/ x z) (/ (* x (- (/ 1 z) 1)) y)))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(/ y z)
(/.f64 y z)
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y)))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) y y) z)
(* y (+ (/ 1 z) (/ 1 (* y z))))
(/.f64 (-.f64 y #s(literal -1 binary64)) z)
y
(* y (+ 1 (/ 1 y)))
(-.f64 y #s(literal -1 binary64))
(* x y)
(*.f64 x y)
(* y (+ x (/ (* x (- 1 z)) y)))
(fma.f64 x (-.f64 y z) x)
(* y (+ x (/ x y)))
(fma.f64 x y x)
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z)))))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y))))
(fma.f64 x (-.f64 y z) x)
(* y (+ 1 (* -1 (/ z y))))
(-.f64 y z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- (/ 1 z) 1)) y)))))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z))))
(*.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal -1 binary64) #s(literal -1 binary64)) z) (neg.f64 y))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(fma.f64 x (-.f64 y z) x)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(fma.f64 x y x)
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(/.f64 (fma.f64 x (-.f64 y z) x) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(fma.f64 x (-.f64 y z) x)
(* -1 (* y (- (/ z y) 1)))
(*.f64 (-.f64 (/.f64 z y) #s(literal 1 binary64)) (neg.f64 y))
(/ (* x (+ 1 y)) z)
(/.f64 (fma.f64 x y x) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(/ (+ 1 y) z)
(/.f64 (-.f64 y #s(literal -1 binary64)) z)
(/ (+ 1 (+ y (* -1 z))) z)
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) z) z)
(+ (* -1 (* x z)) (* x (+ 1 y)))
(fma.f64 x (-.f64 y z) x)
(/ (+ x (* x y)) z)
(/.f64 (fma.f64 x y x) z)
(/ (+ x (+ (* -1 (* x z)) (* x y))) z)
(/.f64 (fma.f64 x (-.f64 y z) x) z)
(+ y (* -1 z))
(-.f64 y z)
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 x (-.f64 y z) x) z)
-1
#s(literal -1 binary64)
(* -1 (* x z))
(*.f64 (neg.f64 z) x)
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(fma.f64 x (-.f64 y z) x)
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z))))
(fma.f64 x (-.f64 y z) x)
(* z (- (/ y z) 1))
(-.f64 y z)
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(fma.f64 x (-.f64 y z) x)
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z)))))
(fma.f64 x (-.f64 y z) x)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)

rewrite203.0ms (3.9%)

Memory
-2.9MiB live, 278.9MiB allocated; 45ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024102
03699
115399
2108699
0824799
Stop Event
iter limit
node limit
iter limit
Counts
13 → 277
Calls
Call 1
Inputs
#s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 x z) y)
(/.f64 x z)
(*.f64 (-.f64 (/.f64 #s(approx (+ y 1) #s(literal 1 binary64)) z) #s(literal 1 binary64)) x)
(-.f64 (/.f64 #s(approx (+ y 1) #s(literal 1 binary64)) z) #s(literal 1 binary64))
(/.f64 #s(approx (+ y 1) #s(literal 1 binary64)) z)
#s(approx (+ y 1) #s(literal 1 binary64))
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
#s(approx (* x (+ (- y z) 1)) (fma.f64 y x x))
(fma.f64 y x x)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(fma.f64 (-.f64 y z) x x)
(-.f64 y z)
Outputs
#s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 x z) y)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) y)) (neg.f64 (neg.f64 z)))
(/.f64 (*.f64 (neg.f64 x) y) (neg.f64 z))
(/.f64 (*.f64 x y) z)
(neg.f64 (/.f64 (*.f64 (neg.f64 x) y) z))
(neg.f64 (/.f64 (*.f64 x y) (neg.f64 z)))
(neg.f64 (*.f64 y (/.f64 (neg.f64 x) z)))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) z) y))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 z))))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 z)))
(/.f64 (neg.f64 (neg.f64 x)) z)
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 x z)
(neg.f64 (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 x (+.f64 (/.f64 #s(approx (+ y 1) #s(literal 1 binary64)) z) #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 (/.f64 #s(approx (+ y 1) #s(literal 1 binary64)) z) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (/.f64 #s(approx (+ y 1) #s(literal 1 binary64)) z) #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 (/.f64 #s(approx (+ y 1) #s(literal 1 binary64)) z) #s(literal 1 binary64)) x)
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(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(approx (+ y 1) #s(literal 1 binary64)) z) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 #s(approx (+ y 1) #s(literal 1 binary64)) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(approx (+ y 1) #s(literal 1 binary64)) z)))))
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(-.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)) (fma.f64 x (-.f64 y z) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 x (-.f64 y z) (neg.f64 x))))
(-.f64 (*.f64 x (-.f64 y z)) (neg.f64 x))
(-.f64 x (*.f64 (neg.f64 (-.f64 y z)) x))
(+.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)) (*.f64 (*.f64 x (-.f64 y z)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)) (*.f64 (*.f64 x (-.f64 y z)) x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)) (*.f64 (*.f64 x (-.f64 y z)) x)))) (/.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)) (*.f64 (*.f64 x (-.f64 y z)) x)))))
(+.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 y z)) x)) (neg.f64 (neg.f64 x)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 x (-.f64 y z))) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 x (-.f64 y z))) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 x (-.f64 y z))) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 x (-.f64 y z))) (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 x (-.f64 y z)) #s(literal 2 binary64)) (fma.f64 x (-.f64 y z) (neg.f64 x))) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 x (-.f64 y z) (neg.f64 x))))
(+.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 (neg.f64 (-.f64 y z)) x)))
(+.f64 (*.f64 x (-.f64 y z)) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)))
(+.f64 (*.f64 x (-.f64 y z)) x)
(+.f64 x (*.f64 (neg.f64 (neg.f64 x)) (-.f64 y z)))
(+.f64 x (*.f64 x (-.f64 y z)))
(*.f64 (-.f64 y z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 y z))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 y y) (+.f64 z y))) (*.f64 (/.f64 (*.f64 z z) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y)))) (+.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y)))) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 z y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (+.f64 z y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 y y) (+.f64 z y)) (fma.f64 (/.f64 (*.f64 z z) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y)) (*.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y)))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 y z)) #s(literal 1 binary64))) (neg.f64 (+.f64 z y)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 z (+.f64 z y) (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 z y) (-.f64 y z)))) (neg.f64 (+.f64 z y)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (fma.f64 z (+.f64 z y) (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 (+.f64 z y) (neg.f64 (-.f64 y z)))) (neg.f64 (neg.f64 (+.f64 z y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 z y)) (*.f64 (+.f64 z y) (*.f64 z z))) (pow.f64 (+.f64 z y) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 y z)) #s(literal 1 binary64)) (+.f64 z y))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 z y) (-.f64 y z))) (+.f64 z y))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 z (+.f64 z y) (*.f64 y y)))
(/.f64 (*.f64 (+.f64 z y) (neg.f64 (-.f64 y z))) (neg.f64 (+.f64 z y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (+.f64 z y) (*.f64 y y))))
(/.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (+.f64 z y))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (+.f64 z y) (*.f64 y y)))
(neg.f64 (/.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (neg.f64 (+.f64 z y))))
(neg.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (neg.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)))))
(neg.f64 (neg.f64 (-.f64 y z)))
(-.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y)))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))))
(-.f64 y z)
(+.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 (neg.f64 z) z) (+.f64 z y)))

eval42.0ms (0.8%)

Memory
14.6MiB live, 98.1MiB allocated; 14ms collecting garbage
Compiler

Compiled 8 393 to 1 105 computations (86.8% saved)

prune20.0ms (0.4%)

Memory
-21.9MiB live, 32.9MiB allocated; 17ms collecting garbage
Pruning

11 alts after pruning (0 fresh and 11 done)

PrunedKeptTotal
New3080308
Fresh000
Picked044
Done077
Total30811319
Accuracy
100.0%
Counts
319 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.7%
(fma.f64 (/.f64 (-.f64 y z) z) x (/.f64 x z))
89.9%
(/.f64 (fma.f64 (-.f64 y z) x x) z)
60.9%
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
39.2%
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
59.3%
(*.f64 (/.f64 #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) z) x)
96.5%
(*.f64 (-.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) #s(literal 1 binary64)) x)
64.9%
(*.f64 (-.f64 (/.f64 #s(approx (+ y 1) #s(literal 1 binary64)) z) #s(literal 1 binary64)) x)
37.7%
(*.f64 #s(approx (/ (+ 1 (- y z)) z) (/.f64 y z)) x)
65.0%
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
39.0%
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
40.3%
#s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y))
Compiler

Compiled 330 to 166 computations (49.7% saved)

regimes26.0ms (0.5%)

Memory
9.0MiB live, 52.6MiB allocated; 10ms collecting garbage
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
#s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y))
(*.f64 #s(approx (/ (+ 1 (- y z)) z) (/.f64 y z)) x)
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
(*.f64 (-.f64 (/.f64 #s(approx (+ y 1) #s(literal 1 binary64)) z) #s(literal 1 binary64)) x)
(*.f64 (/.f64 #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) z) x)
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(*.f64 (-.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) #s(literal 1 binary64)) x)
(*.f64 (/.f64 x z) (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 y z)) z) x)
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
(fma.f64 (-.f64 y z) (/.f64 x z) (/.f64 x z))
(fma.f64 (/.f64 (-.f64 y z) z) x (/.f64 x z))
(/.f64 (fma.f64 (*.f64 (-.f64 y z) x) z (*.f64 z x)) (*.f64 z z))
Outputs
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
(*.f64 (-.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) #s(literal 1 binary64)) x)
Calls

4 calls:

11.0ms
x
5.0ms
z
5.0ms
y
4.0ms
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Results
AccuracySegmentsBranch
99.0%2(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
99.9%2x
96.5%1y
99.9%3z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes5.0ms (0.1%)

Memory
12.8MiB live, 12.8MiB allocated; 0ms collecting garbage
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
#s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y))
(*.f64 #s(approx (/ (+ 1 (- y z)) z) (/.f64 y z)) x)
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
(*.f64 (-.f64 (/.f64 #s(approx (+ y 1) #s(literal 1 binary64)) z) #s(literal 1 binary64)) x)
(*.f64 (/.f64 #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) z) x)
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(*.f64 (-.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) #s(literal 1 binary64)) x)
(*.f64 (/.f64 x z) (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 y z)) z) x)
Outputs
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(*.f64 (-.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) #s(literal 1 binary64)) x)
Calls

1 calls:

4.0ms
x
Results
AccuracySegmentsBranch
99.9%2x
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes19.0ms (0.4%)

Memory
-10.2MiB live, 34.5MiB allocated; 8ms collecting garbage
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
#s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y))
(*.f64 #s(approx (/ (+ 1 (- y z)) z) (/.f64 y z)) x)
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
(*.f64 (-.f64 (/.f64 #s(approx (+ y 1) #s(literal 1 binary64)) z) #s(literal 1 binary64)) x)
(*.f64 (/.f64 #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) z) x)
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
Outputs
(/.f64 (fma.f64 (-.f64 y z) x x) z)
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
Calls

4 calls:

8.0ms
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
3.0ms
z
3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
95.1%3y
93.6%2z
92.3%2(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
89.9%1x
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes18.0ms (0.3%)

Memory
-11.6MiB live, 32.9MiB allocated; 8ms collecting garbage
Counts
9 → 3
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
#s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y))
(*.f64 #s(approx (/ (+ 1 (- y z)) z) (/.f64 y z)) x)
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
(*.f64 (-.f64 (/.f64 #s(approx (+ y 1) #s(literal 1 binary64)) z) #s(literal 1 binary64)) x)
(*.f64 (/.f64 #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64))) z) x)
(/.f64 (*.f64 x #s(approx (+ (- y z) 1) (-.f64 y #s(literal -1 binary64)))) z)
Outputs
#s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
Calls

4 calls:

8.0ms
x
3.0ms
z
3.0ms
y
3.0ms
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Results
AccuracySegmentsBranch
67.6%2x
81.4%2(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
88.1%3y
87.8%3z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes4.0ms (0.1%)

Memory
11.4MiB live, 11.4MiB allocated; 0ms collecting garbage
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
#s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y))
(*.f64 #s(approx (/ (+ 1 (- y z)) z) (/.f64 y z)) x)
Outputs
#s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
(*.f64 #s(approx (/ (+ 1 (- y z)) z) (/.f64 y z)) x)
Calls

2 calls:

2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
68.8%3z
87.4%3y
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes2.0ms (0%)

Memory
5.5MiB live, 5.5MiB allocated; 0ms collecting garbage
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
#s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y))
Outputs
#s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
#s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y))
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
87.3%3y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes6.0ms (0.1%)

Memory
17.0MiB live, 17.0MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
Outputs
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
Calls

4 calls:

1.0ms
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
1.0ms
z
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
65.0%1z
65.0%1x
65.0%1(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
65.0%1y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes64.0ms (1.2%)

Memory
-43.5MiB live, 33.8MiB allocated; 77ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

60.0ms
y
1.0ms
x
1.0ms
z
1.0ms
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Results
AccuracySegmentsBranch
39.0%1x
39.0%1y
39.0%1z
39.0%1(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch2.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
2.0ms
331440292836.9132
860121542971.8285
Samples
1.0ms16×0valid
Compiler

Compiled 30 to 32 computations (-6.7% saved)

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

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
0.0ms
331440292836.9132
860121542971.8285
Compiler

Compiled 29 to 30 computations (-3.4% saved)

bsearch22.0ms (0.4%)

Memory
-26.5MiB live, 19.8MiB allocated; 15ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
8.0ms
2.5935959604985704e+101
2.0857781454168083e+102
Samples
5.0ms96×0valid
Compiler

Compiled 132 to 122 computations (7.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub: 1.0ms (40.2% of total)
ival-div: 1.0ms (40.2% of total)
ival-mult: 1.0ms (40.2% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch27.0ms (0.5%)

Memory
49.6MiB live, 94.0MiB allocated; 6ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
4.973357448601261e+108
1.1115808533312933e+110
11.0ms
-2.0593643349073992e+58
-1.0333793033325357e+54
Samples
12.0ms240×0valid
Compiler

Compiled 448 to 367 computations (18.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (31.2% of total)
ival-mult: 2.0ms (31.2% of total)
ival-sub: 1.0ms (15.6% of total)
ival-add: 1.0ms (15.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch5.0ms (0.1%)

Memory
-42.2MiB live, 4.9MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
4.973357448601261e+108
1.1115808533312933e+110
4.0ms
-2.0593643349073992e+58
-1.0333793033325357e+54
Compiler

Compiled 448 to 367 computations (18.1% saved)

bsearch2.0ms (0%)

Memory
4.9MiB live, 4.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
4.973357448601261e+108
1.1115808533312933e+110
1.0ms
-2.0593643349073992e+58
-1.0333793033325357e+54
Compiler

Compiled 462 to 374 computations (19% saved)

simplify63.0ms (1.2%)

Memory
13.9MiB live, 70.0MiB allocated; 8ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051235
185235
2128235
3217235
4431235
5895235
61533235
72070235
84291235
97157235
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 500000000000 binary64)) (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (*.f64 (-.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) #s(literal 1 binary64)) x))
(if (<=.f64 x #s(literal 500000000000 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (*.f64 (-.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) #s(literal 1 binary64)) x))
(if (<=.f64 z #s(literal 2049999999999999984034204469364605223027418085020810018845001173034818916999617873994154216970434641920 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)))
(if (<=.f64 y #s(literal -16999999999999998948979618431566901075568873075686506496 binary64)) #s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y)) (if (<=.f64 y #s(literal 4999999999999999909254353594199903932358825482164085623979199184949536277190026649102901712196568838131679232 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)))
(if (<=.f64 y #s(literal -16999999999999998948979618431566901075568873075686506496 binary64)) #s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y)) (if (<=.f64 y #s(literal 4999999999999999909254353594199903932358825482164085623979199184949536277190026649102901712196568838131679232 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (*.f64 #s(approx (/ (+ 1 (- y z)) z) (/.f64 y z)) x)))
(if (<=.f64 y #s(literal -16999999999999998948979618431566901075568873075686506496 binary64)) #s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y)) (if (<=.f64 y #s(literal 4999999999999999909254353594199903932358825482164085623979199184949536277190026649102901712196568838131679232 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y))))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
Outputs
(if (<=.f64 x #s(literal 500000000000 binary64)) (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (*.f64 (-.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) #s(literal 1 binary64)) x))
(if (<=.f64 x #s(literal 500000000000 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (*.f64 (-.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) #s(literal 1 binary64)) x))
(if (<=.f64 z #s(literal 2049999999999999984034204469364605223027418085020810018845001173034818916999617873994154216970434641920 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)))
(if (<=.f64 y #s(literal -16999999999999998948979618431566901075568873075686506496 binary64)) #s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y)) (if (<=.f64 y #s(literal 4999999999999999909254353594199903932358825482164085623979199184949536277190026649102901712196568838131679232 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)))
(if (<=.f64 y #s(literal -16999999999999998948979618431566901075568873075686506496 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (if (<=.f64 y #s(literal 4999999999999999909254353594199903932358825482164085623979199184949536277190026649102901712196568838131679232 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)))
(if (<=.f64 y #s(literal -16999999999999998948979618431566901075568873075686506496 binary64)) #s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y)) (if (<=.f64 y #s(literal 4999999999999999909254353594199903932358825482164085623979199184949536277190026649102901712196568838131679232 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (*.f64 #s(approx (/ (+ 1 (- y z)) z) (/.f64 y z)) x)))
(if (<=.f64 y #s(literal -16999999999999998948979618431566901075568873075686506496 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (if (<=.f64 y #s(literal 4999999999999999909254353594199903932358825482164085623979199184949536277190026649102901712196568838131679232 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (*.f64 #s(approx (/ (+ 1 (- y z)) z) (/.f64 y z)) x)))
(if (<=.f64 y #s(literal -16999999999999998948979618431566901075568873075686506496 binary64)) #s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y)) (if (<=.f64 y #s(literal 4999999999999999909254353594199903932358825482164085623979199184949536277190026649102901712196568838131679232 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #s(approx (* (/ (+ 1 (- y z)) z) x) (*.f64 (/.f64 x z) y))))
(if (or (<=.f64 y #s(literal -16999999999999998948979618431566901075568873075686506496 binary64)) (not (<=.f64 y #s(literal 4999999999999999909254353594199903932358825482164085623979199184949536277190026649102901712196568838131679232 binary64)))) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)))
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))

derivations645.0ms (12.5%)

Memory
-23.8MiB live, 643.3MiB allocated; 100ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095253
1315253
21082253
33650250
47827250
08597235
082204
1279204
2992204
33479201
47720201
08174186
0824
01224
15524
240224
3529224
0811822
024113
036113
1124113
2831113
08541108
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 235 to 52 computations (77.9% saved)

preprocess141.0ms (2.7%)

Memory
5.6MiB live, 242.3MiB allocated; 25ms collecting garbage
Compiler

Compiled 606 to 188 computations (69% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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