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

Time bar (total: 3.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze35.0ms (1%)

Memory
-1.8MiB live, 14.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
87.5%87.4%12.5%0.1%0%0%0%10
87.5%87.4%12.5%0.1%0%0%0%11
87.5%87.4%12.5%0.1%0%0%0%12
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample668.0ms (18.4%)

Memory
-86.7MiB live, 211.2MiB allocated
Samples
351.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 193.0ms
ival-div: 53.0ms (27.4% of total)
ival-mult: 50.0ms (25.9% of total)
ival-sub: 44.0ms (22.8% of total)
ival-add: 34.0ms (17.6% of total)
ival-true: 5.0ms (2.6% of total)
exact: 4.0ms (2.1% of total)
ival-assert: 3.0ms (1.6% of total)
Bogosity

explain67.0ms (1.9%)

Memory
-1.8MiB live, 40.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
260-0-(/.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/n260
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))overflow51
Confusion
Predicted +Predicted -
+260
-0230
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+2600
-00230
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0230
126
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
14.6630859375
Average Time
0.057277679443359375
Samples
25.0ms508×0valid
0.0ms2valid
0.0ms1valid
Compiler

Compiled 97 to 36 computations (62.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 3.0ms (24.5% of total)
ival-mult: 3.0ms (24.5% of total)
ival-sub: 3.0ms (24.5% of total)
ival-add: 2.0ms (16.4% 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)

preprocess351.0ms (9.7%)

Memory
-2.3MiB live, 36.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03492
113586
241983
3182681
4508181
5750081
089
0129
1289
2579
31479
43339
57509
616299
728669
842929
950879
1056049
1156819
1257119
1357159
1458079
1559939
1660279
1760439
1861479
1964539
2064659
2164659
086038
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
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.5%
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify305.0ms (8.4%)

Memory
-2.6MiB live, 30.5MiB allocated
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-diff128
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
01228
12828
25728
314728
433328
575028
6162928
7286628
8429228
9508728
10560428
11568128
12571128
13571528
14580728
15599328
16602728
17604328
18614728
19645328
20646528
21646528
0860326
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)

localize18.0ms (0.5%)

Memory
0.3MiB live, 7.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 y z)
accuracy0.0078125
(+.f64 (-.f64 y z) #s(literal 1 binary64))
accuracy0.015625
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))
accuracy6.089867247627282
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Samples
13.0ms254×0valid
0.0ms2valid
0.0ms1valid
Compiler

Compiled 58 to 18 computations (69% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (34.1% of total)
ival-mult: 2.0ms (34.1% of total)
ival-add: 1.0ms (17% of total)
ival-sub: 1.0ms (17% 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)

series8.0ms (0.2%)

Memory
3.5MiB live, 3.5MiB allocated
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))

simplify99.0ms (2.7%)

Memory
-2.5MiB live, 21.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082198
1263198
2804198
32494197
45560196
08356181
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 z) x)
(* 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 (-.f64 y #s(literal -1 binary64)) z)
(* -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)

rewrite125.0ms (3.4%)

Memory
5.2MiB live, 43.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01224
15924
245224
3743724
0853222
Stop Event
iter limit
node limit
iter limit
Counts
4 → 378
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 (*.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 (-.f64 y z) #s(literal -1 binary64)) (-.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 (-.f64 y z) #s(literal -1 binary64)))
(*.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 (neg.f64 (neg.f64 x)) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (pow.f64 (-.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) (pow.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (-.f64 y z) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)))))
(*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 y z) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 (-.f64 y z) x 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 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(*.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 (+.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #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)) x))
(*.f64 (fma.f64 (-.f64 y z) x x) #s(literal 1 binary64))
(*.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) (neg.f64 (neg.f64 x)))
(*.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) x)
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y z) x x))
(*.f64 x (-.f64 (-.f64 y z) #s(literal -1 binary64)))
(/.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)))) (-.f64 #s(literal 1 binary64) (-.f64 y z)))
(/.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 (neg.f64 (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) x)) (-.f64 #s(literal 1 binary64) (-.f64 y z)))
(/.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 (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 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y z) 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)))))
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(fma.f64 (*.f64 y y) (pow.f64 (+.f64 z y) #s(literal -1 binary64)) (neg.f64 (*.f64 z (/.f64 z (+.f64 z y)))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 z y) z (*.f64 y y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y)))))
(fma.f64 (neg.f64 z) #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (neg.f64 z) (*.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 1 binary64) (neg.f64 z)))
(fma.f64 z #s(literal -1 binary64) y)
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 (+.f64 z y) z (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y)))))
(fma.f64 y (/.f64 y (+.f64 z y)) (neg.f64 (*.f64 z (/.f64 z (+.f64 z y)))))
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(-.f64 (+.f64 y #s(literal 0 binary64)) z)
(-.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 #s(literal 0 binary64) (-.f64 z y))
(-.f64 y z)
(+.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 z)) (*.f64 #s(literal 1 binary64) y))
(+.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) (neg.f64 z)))
(+.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64)))
(+.f64 (*.f64 y (/.f64 y (+.f64 z y))) (neg.f64 (*.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))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z y) z (*.f64 y y)))))
(+.f64 (neg.f64 z) y)
(+.f64 y (neg.f64 z))

eval41.0ms (1.1%)

Memory
-3.3MiB live, 35.2MiB allocated
Compiler

Compiled 8 195 to 1 426 computations (82.6% saved)

prune17.0ms (0.5%)

Memory
-2.7MiB live, 16.3MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New3867393
Fresh000
Picked101
Done000
Total3877394
Accuracy
100.0%
Counts
394 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.5%
(/.f64 (fma.f64 (-.f64 y z) x x) z)
66.1%
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
39.7%
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
90.8%
(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
65.7%
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
37.8%
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
33.4%
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
Compiler

Compiled 172 to 132 computations (23.3% saved)

simplify206.0ms (5.7%)

Memory
2.1MiB live, 16.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
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
(/.f64 y z)
cost-diff0
(*.f64 (/.f64 y z) x)
cost-diff0
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.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
(neg.f64 x)
cost-diff0
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
cost-diff0
(-.f64 y z)
cost-diff0
(-.f64 (-.f64 y z) #s(literal -1 binary64))
cost-diff0
(/.f64 x z)
cost-diff128
(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023120
033120
161120
2105120
3232120
4561120
51197120
62874120
74593120
85721120
96032120
106135120
116156120
126721120
136954120
146954120
156962120
166962120
08308114
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
(/.f64 x z)
x
z
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(-.f64 y z)
y
#s(literal -1 binary64)
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
(neg.f64 x)
x
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
(-.f64 (/.f64 x z) x)
(/.f64 x z)
x
z
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
(*.f64 (/.f64 y z) x)
(/.f64 y z)
y
z
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
Outputs
(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/.f64 x z)
x
z
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(-.f64 y z)
y
#s(literal -1 binary64)
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
(neg.f64 x)
x
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
(-.f64 (/.f64 x z) x)
(/.f64 x z)
x
z
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
(*.f64 (/.f64 y z) x)
(/.f64 y z)
y
z
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

localize47.0ms (1.3%)

Memory
0.7MiB live, 18.0MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y x)
accuracy6.089867247627282
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
accuracy37.98582701650336
#s(approx (* x (+ (- y z) 1)) (*.f64 y x))
accuracy0
(/.f64 y z)
accuracy3.6057500577007375
(*.f64 (/.f64 y z) x)
accuracy37.415142531823776
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
accuracy0
(/.f64 x z)
accuracy0.00390625
(-.f64 (/.f64 x z) x)
accuracy21.92138638640784
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
accuracy0
(neg.f64 x)
accuracy42.650931335287524
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
accuracy0
(/.f64 x z)
accuracy0
(-.f64 y z)
accuracy0.0078125
(-.f64 (-.f64 y z) #s(literal -1 binary64))
accuracy5.918671761749416
(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
Samples
36.0ms254×0valid
0.0ms2valid
0.0ms1valid
Compiler

Compiled 219 to 42 computations (80.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-div: 13.0ms (54.5% of total)
ival-mult: 5.0ms (20.9% of total)
ival-sub: 3.0ms (12.6% of total)
ival-add: 1.0ms (4.2% of total)
ival-neg: 1.0ms (4.2% 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)

series15.0ms (0.4%)

Memory
0.8MiB live, 8.3MiB allocated
Counts
14 → 43
Calls
Call 1
Inputs
(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
(/.f64 x z)
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(-.f64 y z)
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
(neg.f64 x)
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
(-.f64 (/.f64 x z) x)
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
(*.f64 (/.f64 y z) x)
(/.f64 y z)
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
#s(approx (* x (+ (- y z) 1)) (*.f64 y x))
(*.f64 y x)
Outputs
(/ (* x (- (+ 1 y) z)) z)
(/ x z)
(* -1 x)
(* x (- (/ 1 z) 1))
(/ (* x y) z)
(* x (- (+ 1 y) z))
(* x y)
(* -1 (* x (- 1 (/ 1 z))))
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(- 1 z)
(- (+ 1 y) z)
(* -1 z)
(- y z)
(/ y z)
(* x (- 1 z))
(+ (* x y) (* x (- 1 z)))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
y
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* y (+ 1 (* -1 (/ z y))))
(* y (+ x (/ (* 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)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(+ 1 y)
(+ 1 (+ y (* -1 z)))
(+ y (* -1 z))
(/ (+ x (* -1 (* x z))) z)
(* x (+ 1 y))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* z (- (/ y z) 1))
(- (/ x z) x)
(* -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
3.0ms
x
@-inf
((* (/ x z) (- (- y z) -1)) (/ x z) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ (* x (+ (- y z) 1)) z) (* (/ y z) x) (/ y z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* y x))
3.0ms
x
@inf
((* (/ x z) (- (- y z) -1)) (/ x z) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ (* x (+ (- y z) 1)) z) (* (/ y z) x) (/ y z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* y x))
2.0ms
z
@-inf
((* (/ x z) (- (- y z) -1)) (/ x z) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ (* x (+ (- y z) 1)) z) (* (/ y z) x) (/ y z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* y x))
1.0ms
y
@-inf
((* (/ x z) (- (- y z) -1)) (/ x z) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ (* x (+ (- y z) 1)) z) (* (/ y z) x) (/ y z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* y x))
1.0ms
x
@0
((* (/ x z) (- (- y z) -1)) (/ x z) (- (- y z) -1) (- y z) (/ (* x (+ (- y z) 1)) z) (neg x) (/ (* x (+ (- y z) 1)) z) (- (/ x z) x) (/ (* x (+ (- y z) 1)) z) (* (/ y z) x) (/ y z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (* y x))

simplify105.0ms (2.9%)

Memory
0.6MiB live, 24.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090232
1282232
2849222
32646222
46031222
08779207
Stop Event
iter limit
node limit
Counts
43 → 42
Calls
Call 1
Inputs
(/ (* x (- (+ 1 y) z)) z)
(/ x z)
(* -1 x)
(* x (- (/ 1 z) 1))
(/ (* x y) z)
(* x (- (+ 1 y) z))
(* x y)
(* -1 (* x (- 1 (/ 1 z))))
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(- 1 z)
(- (+ 1 y) z)
(* -1 z)
(- y z)
(/ y z)
(* x (- 1 z))
(+ (* x y) (* x (- 1 z)))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
y
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* y (+ 1 (* -1 (/ z y))))
(* y (+ x (/ (* 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)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(+ 1 y)
(+ 1 (+ y (* -1 z)))
(+ y (* -1 z))
(/ (+ x (* -1 (* x z))) z)
(* x (+ 1 y))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* z (- (/ y z) 1))
(- (/ x z) x)
(* -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)
(/ x z)
(/.f64 x z)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 z) 1))
(-.f64 (/.f64 x z) x)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(* x (- (+ 1 y) z))
(fma.f64 (-.f64 y z) x x)
(* x y)
(*.f64 y x)
(* -1 (* x (- 1 (/ 1 z))))
(-.f64 (/.f64 x z) 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)
(/ 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)
(* 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)
(* y (+ x (/ (* 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 (-.f64 y #s(literal -1 binary64)) z)
(* -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 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)
(/ (+ x (* -1 (* x z))) z)
(-.f64 (/.f64 x z) x)
(* x (+ 1 y))
(fma.f64 y x 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)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* z (- (/ y z) 1))
(-.f64 y z)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(* -1 (* x z))
(*.f64 (neg.f64 x) z)
(* 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)

rewrite121.0ms (3.3%)

Memory
0.4MiB live, 46.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023104
033104
1127104
2935104
0869398
Stop Event
iter limit
node limit
iter limit
Counts
14 → 611
Calls
Call 1
Inputs
(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
(/.f64 x z)
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(-.f64 y z)
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
(neg.f64 x)
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
(-.f64 (/.f64 x z) x)
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
(*.f64 (/.f64 y z) x)
(/.f64 y z)
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
#s(approx (* x (+ (- y z) 1)) (*.f64 y x))
(*.f64 y x)
Outputs
(*.f64 (*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) #s(literal 1 binary64)) x)
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 y z) x x))) (/.f64 #s(literal -1 binary64) z))
(*.f64 (*.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z))
(*.f64 (pow.f64 (/.f64 z (fma.f64 (-.f64 y z) x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (fma.f64 (-.f64 y z) x x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 y z) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x z))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) z) (/.f64 (pow.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)) z) (/.f64 (pow.f64 (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 y z) #s(literal -1 binary64)) z))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z))
(*.f64 (*.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 x z)) (pow.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)))
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(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 0 binary64)) (*.f64 (/.f64 (neg.f64 z) x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (*.f64 (/.f64 (neg.f64 z) x) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) (*.f64 z (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (*.f64 z (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) x) x))) (neg.f64 (+.f64 (/.f64 x z) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 x (fma.f64 (pow.f64 z #s(literal -2 binary64)) x (+.f64 (/.f64 x z) x)))))
(/.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) x) x)) (+.f64 (/.f64 x z) x))
(/.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (fma.f64 (pow.f64 z #s(literal -2 binary64)) x (+.f64 (/.f64 x z) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x z) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x z) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x z) x))))
(neg.f64 (/.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) x) x))) (+.f64 (/.f64 x z) x)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x (fma.f64 (pow.f64 z #s(literal -2 binary64)) x (+.f64 (/.f64 x z) x)))))
(neg.f64 (/.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 z #s(literal -2 binary64)) x) x)) (neg.f64 (+.f64 (/.f64 x z) x))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (*.f64 x (fma.f64 (pow.f64 z #s(literal -2 binary64)) x (+.f64 (/.f64 x z) x))))))
(neg.f64 (+.f64 x (/.f64 (neg.f64 x) z)))
(neg.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x z) x))
(fma.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal 1 binary64)) x (neg.f64 x))
(fma.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (neg.f64 x))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z) (neg.f64 x))
(fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64)) (/.f64 x z))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 x z))
(fma.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 (pow.f64 z #s(literal -1 binary64)) x (neg.f64 x))
(fma.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (pow.f64 (+.f64 (/.f64 x z) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 x z) x))))
(fma.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (pow.f64 (*.f64 x (fma.f64 (pow.f64 z #s(literal -2 binary64)) x (+.f64 (/.f64 x z) x))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 (pow.f64 z #s(literal -2 binary64)) x (+.f64 (/.f64 x z) x))))))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z) (neg.f64 x))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (/.f64 x z))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (/.f64 x z))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) x (/.f64 x z))
(fma.f64 (/.f64 x z) #s(literal 1 binary64) (neg.f64 x))
(fma.f64 x (pow.f64 z #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 x #s(literal -1 binary64) (/.f64 x z))
(-.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64)) (/.f64 (neg.f64 x) z))
(-.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (+.f64 (/.f64 x z) x)) (/.f64 (*.f64 x x) (+.f64 (/.f64 x z) x)))
(-.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 x (fma.f64 (pow.f64 z #s(literal -2 binary64)) x (+.f64 (/.f64 x z) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 (pow.f64 z #s(literal -2 binary64)) x (+.f64 (/.f64 x z) x)))))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (neg.f64 x) z) (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 x z) x))
(-.f64 #s(literal 0 binary64) (-.f64 x (/.f64 x z)))
(-.f64 (neg.f64 x) (/.f64 (neg.f64 x) z))
(-.f64 (/.f64 x z) x)
(+.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (+.f64 (/.f64 x z) x)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 x z) x))))
(+.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 3 binary64)) (*.f64 x (fma.f64 (pow.f64 z #s(literal -2 binary64)) x (+.f64 (/.f64 x z) x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x (fma.f64 (pow.f64 z #s(literal -2 binary64)) x (+.f64 (/.f64 x z) x))))))
(+.f64 #s(literal 0 binary64) (-.f64 (/.f64 x z) x))
(+.f64 (neg.f64 x) (/.f64 x z))
(+.f64 (/.f64 x z) (neg.f64 x))
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
(*.f64 (*.f64 (/.f64 y z) #s(literal 1 binary64)) x)
(*.f64 (*.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 x z))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) z))
(*.f64 (*.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 x (pow.f64 y #s(literal -1 binary64))))
(*.f64 (*.f64 y x) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 y z) x) #s(literal 1 binary64))
(*.f64 (/.f64 y z) x)
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) x))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 x z) y)
(*.f64 x (/.f64 y z))
(pow.f64 (/.f64 z (*.f64 y x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) x)) z)
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 z))
(/.f64 (*.f64 y x) z)
(/.f64 (neg.f64 x) (/.f64 (neg.f64 z) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) x))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 y x))))
(/.f64 y (/.f64 z x))
(/.f64 x (/.f64 z y))
(neg.f64 (/.f64 (*.f64 (neg.f64 y) x) z))
(neg.f64 (/.f64 (*.f64 y x) (neg.f64 z)))
(neg.f64 (*.f64 y (/.f64 (neg.f64 x) z)))
(neg.f64 (*.f64 x (/.f64 (neg.f64 y) z)))
(neg.f64 (*.f64 (/.f64 (neg.f64 y) z) x))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) y)
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 y z))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) z))
(*.f64 y (pow.f64 z #s(literal -1 binary64)))
(pow.f64 (/.f64 z y) #s(literal -1 binary64))
(/.f64 (neg.f64 y) (neg.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 z y))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) y))
(/.f64 y z)
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z y)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z)))
(neg.f64 (/.f64 (neg.f64 y) z))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) z))
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)))) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 y x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 y x))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) #s(approx (* x (+ (- y z) 1)) (*.f64 y x)))
(*.f64 (neg.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x))) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z))
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) (neg.f64 z)))
(pow.f64 (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 y x))) #s(literal -1 binary64))
(/.f64 (neg.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x))) (neg.f64 z))
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 y x))))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) #s(approx (* x (+ (- y z) 1)) (*.f64 y x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 y x)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) (neg.f64 z))))
(neg.f64 (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) (neg.f64 z)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) (neg.f64 z)))
(exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (* x (+ (- y z) 1)) (*.f64 y x)))) #s(literal -1 binary64)))
(*.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (* x (+ (- y z) 1)) (*.f64 y x)))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x))))
#s(approx (* x (+ (- y z) 1)) (*.f64 y x))
(neg.f64 (neg.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x))))
(*.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(*.f64 x y)

eval71.0ms (2%)

Memory
-3.1MiB live, 57.7MiB allocated
Compiler

Compiled 13 152 to 1 739 computations (86.8% saved)

prune11.0ms (0.3%)

Memory
-0.0MiB live, 25.9MiB allocated
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New6681669
Fresh022
Picked055
Done000
Total6688676
Accuracy
100.0%
Counts
676 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.5%
(/.f64 (fma.f64 (-.f64 y z) x x) z)
66.1%
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
39.7%
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
90.8%
(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
65.7%
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
37.8%
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
42.8%
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
33.4%
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
Compiler

Compiled 101 to 77 computations (23.8% saved)

simplify309.0ms (8.5%)

Memory
0.1MiB live, 30.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 9 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
(/.f64 x z)
cost-diff0
(*.f64 (/.f64 x z) y)
cost-diff0
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01779
02676
15176
27676
316776
433176
575076
6161476
7286376
8428176
9509676
10563976
11573576
12577376
13578376
14587776
15606376
16609876
17611476
18621876
19652476
20653676
21653676
0867476
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 x z) y)
(/.f64 x z)
x
z
y
(/.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 (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 x z) y)
(/.f64 x z)
x
z
y
(/.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)
(-.f64 (/.f64 (fma.f64 y x x) z) x)
(fma.f64 (-.f64 y z) x x)
(-.f64 y z)
y
z
x

localize32.0ms (0.9%)

Memory
-0.9MiB live, 14.4MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 y z)
accuracy0.0078125
(fma.f64 (-.f64 y z) x x)
accuracy6.089867247627282
(/.f64 (fma.f64 (-.f64 y z) x x) z)
accuracy0
(fma.f64 y x x)
accuracy6.089867247627282
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
accuracy20.223690023339877
#s(approx (* x (+ (- y z) 1)) (fma.f64 y x x))
accuracy0
(/.f64 x z)
accuracy3.6648735842105844
(*.f64 (/.f64 x z) y)
accuracy37.415142531823776
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
Samples
24.0ms256×0valid
Compiler

Compiled 147 to 34 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 6.0ms (40.3% of total)
ival-div: 4.0ms (26.8% of total)
ival-add: 3.0ms (20.1% of total)
ival-sub: 1.0ms (6.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.4%)

Memory
0.9MiB live, 8.5MiB allocated
Counts
9 → 49
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 x z) y)
(/.f64 x z)
(/.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 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))
(+ (* 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))))
(* 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
(* y (+ 1 (* -1 (/ z y))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y 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 (* 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 (* 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
3.0ms
z
@0
((/ (* x (+ (- y z) 1)) z) (* (/ x z) y) (/ x z) (/ (* 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
((/ (* x (+ (- y z) 1)) z) (* (/ x z) y) (/ x z) (/ (* 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
((/ (* x (+ (- y z) 1)) z) (* (/ x z) y) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x) (- y z))
1.0ms
z
@-inf
((/ (* x (+ (- y z) 1)) z) (* (/ x z) y) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x) (- y z))
1.0ms
x
@0
((/ (* x (+ (- y z) 1)) z) (* (/ x z) y) (/ x z) (/ (* x (+ (- y z) 1)) z) (* x (+ (- y z) 1)) (+ (* y x) x) (/ (+ (* (- y z) x) x) z) (+ (* (- y z) x) x) (- y z))

simplify99.0ms (2.7%)

Memory
-4.0MiB live, 22.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114292
1384292
21175292
33365288
47432288
08231257
Stop Event
iter limit
node limit
Counts
49 → 47
Calls
Call 1
Inputs
(/ (* x (- (+ 1 y) z)) z)
(/ (* x y) z)
(/ x z)
(* 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))
(+ (* 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))))
(* 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
(* y (+ 1 (* -1 (/ z y))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y 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 (* 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 (* 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 (-.f64 y z) x x) z)
(/ (* x y) z)
(/.f64 (*.f64 y x) z)
(/ x z)
(/.f64 x z)
(* x (- (+ 1 y) z))
(fma.f64 (-.f64 y z) x x)
(* x (+ 1 y))
(fma.f64 y x x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 (* x (- (* -1 (- y z)) 1)))
(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)
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+ (* x y) (* x (- 1 z)))
(fma.f64 (-.f64 y z) x x)
x
(+ x (* x y))
(fma.f64 y x x)
(/ (+ x (* -1 (* x z))) z)
(-.f64 (/.f64 x z) x)
(+ (* -1 x) (+ (/ x z) (/ (* x y) z)))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(+ x (* -1 (* x z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+ x (+ (* -1 (* x z)) (* x y)))
(fma.f64 (-.f64 y z) x x)
(* -1 z)
(neg.f64 z)
(- y z)
(-.f64 y z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* x y)
(*.f64 y x)
(* y (+ x (/ (* x (- 1 z)) y)))
(fma.f64 (-.f64 y z) x x)
(* y (+ x (/ x y)))
(fma.f64 y x x)
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z)))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y))))
(fma.f64 (-.f64 y z) x x)
y
(* y (+ 1 (* -1 (/ z y))))
(-.f64 y z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(fma.f64 (-.f64 y z) x x)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(fma.f64 y x x)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (+ (* -1 x) (/ x z)) y)))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(fma.f64 (-.f64 y z) x x)
(* -1 (* y (- (/ z y) 1)))
(-.f64 y z)
(/ (* 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 (* x z)) (* x (+ 1 y)))
(fma.f64 (-.f64 y z) x x)
(/ (+ x (* x y)) z)
(/.f64 (fma.f64 y x x) z)
(/ (+ x (+ (* -1 (* x z)) (* x y))) z)
(/.f64 (fma.f64 (-.f64 y z) x x) 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)
(* -1 (* x z))
(*.f64 (neg.f64 z) x)
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(fma.f64 (-.f64 y z) x x)
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z))))
(fma.f64 (-.f64 y z) x x)
(* z (- (/ y z) 1))
(-.f64 y z)
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(fma.f64 (-.f64 y z) x x)
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z)))))
(fma.f64 (-.f64 y z) x x)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)

rewrite122.0ms (3.4%)

Memory
7.2MiB live, 44.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01770
02667
111967
279167
0856667
Stop Event
iter limit
node limit
iter limit
Counts
9 → 433
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 x z) y)
(/.f64 x z)
(/.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 (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (neg.f64 x) z))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 y z))
(*.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) z))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y (pow.f64 x #s(literal -1 binary64))))
(*.f64 (*.f64 y x) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 x z) y)
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x z) y))
(*.f64 y (/.f64 x z))
(*.f64 x (*.f64 (pow.f64 z #s(literal -1 binary64)) y))
(*.f64 x (/.f64 y z))
(pow.f64 (/.f64 z (*.f64 y x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) y)) z)
(/.f64 (neg.f64 y) (/.f64 (neg.f64 z) x))
(/.f64 (*.f64 (neg.f64 x) y) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 y x))))
(/.f64 (*.f64 y x) z)
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) y))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 y x)))
(/.f64 y (/.f64 z x))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) y) z))
(neg.f64 (/.f64 (*.f64 y x) (neg.f64 z)))
(neg.f64 (*.f64 y (/.f64 (neg.f64 x) z)))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) z) y))
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) x)
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 x (pow.f64 z #s(literal -1 binary64)))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) x))
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 z x))
(/.f64 x z)
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z)))
(neg.f64 (/.f64 (neg.f64 x) z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 x) z))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) z))
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 z #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x))) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) (neg.f64 z)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)))
(*.f64 (neg.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x))) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z))
(pow.f64 (/.f64 z #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x))))
(/.f64 (neg.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x))) (neg.f64 z))
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) (neg.f64 z))))
(neg.f64 (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) (neg.f64 z)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) (neg.f64 z)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) (neg.f64 z)))
(exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x))))
(*.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)))
#s(approx (* x (+ (- y z) 1)) (fma.f64 y x x))
(neg.f64 (neg.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x))))
(*.f64 (+.f64 #s(literal 1 binary64) y) x)
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y x))))
(*.f64 (*.f64 (fma.f64 y x x) (fma.f64 (neg.f64 x) y x)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y x)))
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 y x (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) x)))))
(*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 y x x))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (neg.f64 x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (neg.f64 x)))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 y x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y x (neg.f64 x))))) (+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y x (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 y x (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (neg.f64 x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 y x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y x (neg.f64 x))) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y x (neg.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (*.f64 y x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y x x) (fma.f64 (neg.f64 x) y x))) (neg.f64 (fma.f64 (neg.f64 x) y x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 y x (neg.f64 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 2 binary64)))) (fma.f64 y x (neg.f64 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 y x) x) #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (neg.f64 x))) (*.f64 (fma.f64 y x (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 y x (neg.f64 x)) (fma.f64 y x (neg.f64 x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 x (*.f64 y x)))
(/.f64 (*.f64 (fma.f64 y x x) (fma.f64 (neg.f64 x) y x)) (fma.f64 (neg.f64 x) y x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x x))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x x)) (fma.f64 y x (neg.f64 x)))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) x))))
(/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y x)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 y x) x))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x x)))
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(/.f64 (*.f64 (neg.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 y y (-.f64 (*.f64 z z) (*.f64 y (neg.f64 z))))))
(/.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 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z))))
(/.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 y y (-.f64 (*.f64 z z) (*.f64 y (neg.f64 z)))))
(/.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 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 (*.f64 z z) (*.f64 y (neg.f64 z)))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y z)))
(neg.f64 (neg.f64 (-.f64 y z)))
(fma.f64 #s(literal -1 binary64) z y)
(fma.f64 (*.f64 y y) (pow.f64 (+.f64 z y) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 z z) (+.f64 z y))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y)))))
(fma.f64 (neg.f64 z) #s(literal 1 binary64) y)
(fma.f64 #s(literal 1 binary64) (neg.f64 z) y)
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 1 binary64) (neg.f64 z)))
(fma.f64 #s(literal 1 binary64) y (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) y (neg.f64 z))
(fma.f64 y #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 z)))
(fma.f64 y #s(literal 1 binary64) (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(fma.f64 y #s(literal 1 binary64) (neg.f64 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 #s(literal 1 binary64) (neg.f64 z)) y)
(+.f64 (*.f64 (neg.f64 z) #s(literal 1 binary64)) y)
(+.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (neg.f64 (/.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))) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y)))))
(+.f64 (neg.f64 z) y)
(+.f64 y (*.f64 #s(literal 1 binary64) (neg.f64 z)))
(+.f64 y (*.f64 (neg.f64 z) #s(literal 1 binary64)))
(+.f64 y (neg.f64 z))

eval46.0ms (1.3%)

Memory
-2.1MiB live, 38.9MiB allocated
Compiler

Compiled 9 845 to 1 382 computations (86% saved)

prune9.0ms (0.2%)

Memory
-4.0MiB live, 18.6MiB allocated
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New4510451
Fresh000
Picked033
Done055
Total4518459
Accuracy
100.0%
Counts
459 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.5%
(/.f64 (fma.f64 (-.f64 y z) x x) z)
66.1%
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
39.7%
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
90.8%
(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
65.7%
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
37.8%
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
42.8%
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
33.4%
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
Compiler

Compiled 211 to 111 computations (47.4% saved)

regimes22.0ms (0.6%)

Memory
-4.6MiB live, 8.8MiB allocated
Counts
9 → 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 (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.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 (fma.f64 (-.f64 y z) x x) z)
(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Outputs
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
Calls

4 calls:

12.0ms
x
3.0ms
z
3.0ms
y
3.0ms
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Results
AccuracySegmentsBranch
99.9%2x
96.7%3y
96.4%3z
99.2%2(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes11.0ms (0.3%)

Memory
0.2MiB live, 8.1MiB allocated
Counts
7 → 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 (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.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 (fma.f64 (-.f64 y z) x x) z)
Outputs
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
Calls

4 calls:

3.0ms
z
3.0ms
x
3.0ms
y
2.0ms
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Results
AccuracySegmentsBranch
96.4%3z
93.7%3y
93.1%2(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
90.5%1x
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes10.0ms (0.3%)

Memory
-0.1MiB live, 7.7MiB allocated
Counts
6 → 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 (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.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)
Outputs
#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) y))
Calls

4 calls:

3.0ms
x
2.0ms
z
2.0ms
y
2.0ms
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Results
AccuracySegmentsBranch
69.3%2x
90.1%3y
82.1%2(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
89.4%3z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes6.0ms (0.2%)

Memory
6.2MiB live, 6.2MiB allocated
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
y
1.0ms
x
1.0ms
z
1.0ms
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Results
AccuracySegmentsBranch
65.7%1x
65.7%1(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
65.7%1z
65.7%1y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes5.0ms (0.1%)

Memory
-2.0MiB live, 6.0MiB allocated
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:

1.0ms
x
1.0ms
z
1.0ms
y
1.0ms
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Results
AccuracySegmentsBranch
33.4%1(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
33.4%1y
33.4%1z
33.4%1x
Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch10.0ms (0.3%)

Memory
-5.1MiB live, 3.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
1.2676048437947775e-52
3.2788153369035903e-51
Samples
5.0ms112×0valid
Compiler

Compiled 131 to 126 computations (3.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 1.0ms (39.7% of total)
ival-div: 1.0ms (39.7% of total)
ival-mult: 1.0ms (39.7% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch22.0ms (0.6%)

Memory
-0.1MiB live, 7.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
4.1472018247067285e+175
1.4120698938153009e+180
10.0ms
-2.3116150912796435e+126
-2.381696761579319e+122
Samples
11.0ms256×0valid
Compiler

Compiled 332 to 302 computations (9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (34.8% of total)
ival-sub: 1.0ms (17.4% of total)
ival-add: 1.0ms (17.4% of total)
ival-mult: 1.0ms (17.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch20.0ms (0.6%)

Memory
7.0MiB live, 7.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
7.0ms
1.2266637633614992e+27
5.976619025610873e+27
11.0ms
-3.157043851524669e+56
-1.7915448358371828e+49
Samples
10.0ms240×0valid
Compiler

Compiled 462 to 374 computations (19% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 1.0ms (18.7% of total)
ival-div: 1.0ms (18.7% of total)
ival-add: 1.0ms (18.7% of total)
ival-mult: 1.0ms (18.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify26.0ms (0.7%)

Memory
-5.7MiB live, 18.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036141
148141
257141
361141
463141
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 2358995333375681/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64))))
(if (<=.f64 z #s(literal -2300000000000000052655939669971618575242880292396483089375744431316884247844257228279342446656891176143622979289203215316287488 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 134999999999999990883056330057841324020957674415266590311733226897893955606455143258967626799629744667301312617621498660980884642007305352498628222688517942738873594197040619847680 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 -19500000000000000449345747305952439936418903490560 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (if (<=.f64 y #s(literal 1900000000000000107709726720 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #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) (neg.f64 x))
Outputs
(if (<=.f64 x #s(literal 2358995333375681/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64))))
(if (<=.f64 x #s(literal 2358995333375681/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (*.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) (/.f64 x z)))
(if (<=.f64 z #s(literal -2300000000000000052655939669971618575242880292396483089375744431316884247844257228279342446656891176143622979289203215316287488 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 134999999999999990883056330057841324020957674415266590311733226897893955606455143258967626799629744667301312617621498660980884642007305352498628222688517942738873594197040619847680 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 -19500000000000000449345747305952439936418903490560 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (if (<=.f64 y #s(literal 1900000000000000107709726720 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) #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) (neg.f64 x))

soundness446.0ms (12.3%)

Memory
4.0MiB live, 4.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
01224
15924
245224
3743724
0853222
082198
1263198
2804198
32494197
45560196
08356181
023104
033104
1127104
2935104
0869398
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 236 to 103 computations (56.4% saved)

preprocess106.0ms (2.9%)

Memory
0.5MiB live, 39.2MiB allocated
Compiler

Compiled 416 to 152 computations (63.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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