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

Time bar (total: 6.4s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze53.0ms (0.8%)

Memory
4.9MiB live, 43.9MiB 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)

sample1.1s (16.6%)

Memory
0.3MiB live, 997.1MiB allocated
Samples
743.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 434.0ms
ival-mult: 171.0ms (39.4% of total)
ival-add: 124.0ms (28.6% of total)
ival-div: 64.0ms (14.8% of total)
ival-sub: 58.0ms (13.4% of total)
ival-true: 7.0ms (1.6% of total)
exact: 5.0ms (1.2% of total)
ival-assert: 4.0ms (0.9% of total)
Bogosity

explain390.0ms (6.1%)

Memory
-28.8MiB live, 170.0MiB allocated
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)))overflow53
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 125 to 50 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 4.0ms (28.9% of total)
ival-mult: 4.0ms (28.9% of total)
ival-sub: 3.0ms (21.7% of total)
ival-add: 2.0ms (14.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess591.0ms (9.2%)

Memory
16.1MiB live, 205.0MiB 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
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.0%
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify322.0ms (5%)

Memory
31.4MiB live, 189.5MiB 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)

localize21.0ms (0.3%)

Memory
-5.6MiB live, 33.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 y z)
accuracy0
(+.f64 (-.f64 y z) #s(literal 1 binary64))
accuracy0.0078125
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))
accuracy6.400114617736433
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Samples
15.0ms256×0valid
Compiler

Compiled 58 to 18 computations (69% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 2.0ms (26.8% of total)
ival-div: 2.0ms (26.8% of total)
ival-mult: 2.0ms (26.8% of total)
ival-add: 1.0ms (13.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series41.0ms (0.6%)

Memory
-6.4MiB live, 39.2MiB 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
34.0ms
y
@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
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))

simplify97.0ms (1.5%)

Memory
9.1MiB live, 83.5MiB 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)

rewrite155.0ms (2.4%)

Memory
-5.7MiB live, 142.3MiB 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)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64))) #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))))
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(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))

eval57.0ms (0.9%)

Memory
-5.8MiB live, 78.0MiB allocated
Compiler

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

prune12.0ms (0.2%)

Memory
-13.4MiB live, 25.0MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New3849393
Fresh000
Picked101
Done000
Total3859394
Accuracy
100.0%
Counts
394 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.0%
(/.f64 (fma.f64 (-.f64 y z) x x) z)
89.7%
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 y z) x x) #s(literal -1 binary64)))
63.1%
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
41.4%
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
95.7%
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z))
89.2%
(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
63.7%
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
37.0%
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
38.1%
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
Compiler

Compiled 218 to 170 computations (22% saved)

simplify124.0ms (1.9%)

Memory
33.8MiB live, 152.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
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)))
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 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
(neg.f64 x)
cost-diff0
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
cost-diff0
(-.f64 (-.f64 y z) #s(literal -1 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z)
cost-diff512
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024138
037140
172134
2124134
3305134
4653130
51345130
62993130
75090130
87293130
08072128
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z))
x
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z)
(/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
#s(literal 1 binary64)
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(-.f64 y z)
y
z
#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 y z) x))
(*.f64 (/.f64 y z) x)
(/.f64 y z)
y
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 (/.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)
Outputs
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
x
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z)
(/.f64 z (-.f64 (-.f64 y z) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
#s(literal 1 binary64)
(-.f64 (-.f64 y z) #s(literal -1 binary64))
(-.f64 y z)
y
z
#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 y z) x))
(*.f64 (/.f64 y z) x)
(/.f64 y z)
y
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 (/.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)

localize53.0ms (0.8%)

Memory
-5.2MiB live, 71.3MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 x z)
accuracy0
(-.f64 (-.f64 y z) #s(literal -1 binary64))
accuracy0
(-.f64 y z)
accuracy6.89886429952489
(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
accuracy0
(fma.f64 y x x)
accuracy6.400114617736433
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
accuracy23.122991000141543
#s(approx (* x (+ (- y z) 1)) (fma.f64 y x x))
accuracy0
(/.f64 y z)
accuracy5.803373639615268
(*.f64 (/.f64 y z) x)
accuracy36.759825273102045
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
accuracy0
(neg.f64 x)
accuracy39.584303509997824
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
accuracy0
(-.f64 y z)
accuracy0.00390625
(/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
accuracy0.1640625
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z)
accuracy2.642640959439394
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z))
Samples
40.0ms256×0valid
Compiler

Compiled 260 to 47 computations (81.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-div: 8.0ms (35.1% of total)
ival-mult: 7.0ms (30.7% of total)
ival-sub: 3.0ms (13.2% of total)
ival-add: 2.0ms (8.8% of total)
ival-neg: 1.0ms (4.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series21.0ms (0.3%)

Memory
-11.4MiB live, 26.4MiB allocated
Counts
15 → 87
Calls
Call 1
Inputs
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z)
(/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
(neg.f64 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)) (fma.f64 y x x)) z)
#s(approx (* x (+ (- y z) 1)) (fma.f64 y x x))
(fma.f64 y x x)
(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
(/.f64 x z)
(-.f64 y z)
Outputs
(/ (* x (- (+ 1 y) z)) z)
(* -1 x)
(/ (* x y) z)
(* x (- (+ 1 y) z))
(* x (+ 1 y))
(/ x z)
(* -1 (* x (- (* -1 y) 1)))
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/ z (- 1 z))
(+ (* -1 (/ (* y z) (pow (- 1 z) 2))) (/ z (- 1 z)))
(+ (* y (- (/ (* y z) (pow (- 1 z) 3)) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z)))
(+ (* y (- (* y (- (* -1 (/ (* y z) (pow (- 1 z) 4))) (* -1 (/ z (pow (- 1 z) 3))))) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z)))
(/ 1 (- 1 z))
(+ (* -1 (/ y (pow (- 1 z) 2))) (/ 1 (- 1 z)))
(+ (* y (- (/ y (pow (- 1 z) 3)) (/ 1 (pow (- 1 z) 2)))) (/ 1 (- 1 z)))
(+ (* y (- (* y (+ (* -1 (/ y (pow (- 1 z) 4))) (/ 1 (pow (- 1 z) 3)))) (/ 1 (pow (- 1 z) 2)))) (/ 1 (- 1 z)))
(- 1 z)
(- (+ 1 y) z)
(/ y z)
(* x (- 1 z))
(+ (* x y) (* x (- 1 z)))
x
(+ x (* x y))
(* -1 z)
(- y z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/ z y)
(/ (+ z (* -1 (/ (* z (- 1 z)) y))) y)
(/ (- (+ z (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y)) y)
(/ (- (+ z (* -1 (/ (* z (pow (- 1 z) 3)) (pow y 3)))) (+ (* -1 (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y))) y)
(/ 1 y)
(/ (- (+ 1 (/ z y)) (/ 1 y)) y)
(/ (- (+ 1 (+ (* -1 (/ (* (- 1 z) (- z 1)) (pow y 2))) (/ z y))) (/ 1 y)) y)
(/ (- (+ 1 (+ (/ z y) (/ (* (pow (- 1 z) 2) (- z 1)) (pow y 3)))) (+ (/ 1 y) (/ (* (- 1 z) (- z 1)) (pow y 2)))) y)
y
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* x y)
(* y (+ x (/ (* x (- 1 z)) y)))
(* y (+ x (/ x y)))
(* y (+ 1 (* -1 (/ z y))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (/ (+ (* -1 z) (/ (* z (- 1 z)) y)) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* z (pow (- 1 z) 2)) y) (* z (- 1 z))) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- 1 z) 3)) y) (* z (pow (- 1 z) 2))) y)) (* z (- 1 z))) y))) y))
(* -1 (/ (- (* -1 (/ (- z 1) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (* (- 1 z) (- z 1)) y))) 1) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (- (* -1 (/ (* (pow (- 1 z) 2) (- z 1)) y)) (* -1 (* (- 1 z) (- z 1)))) y))) 1) y)) 1) y))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (- (/ z y) 1)))
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ z (+ 1 y))
(* z (+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2))))
(* z (+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y))))
(* z (+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y))))
(/ 1 (+ 1 y))
(+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2)))
(+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y)))
(+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y)))
(+ 1 y)
(+ 1 (+ y (* -1 z)))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(+ y (* -1 z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
-1
(- (* -1 (/ (+ 1 y) z)) 1)
(- (* -1 (/ (pow (+ 1 y) 2) (pow z 2))) (+ 1 (+ (/ 1 z) (/ y z))))
(- (* -1 (/ (pow (+ 1 y) 3) (pow z 3))) (+ 1 (+ (/ 1 z) (+ (/ y z) (/ (pow (+ 1 y) 2) (pow z 2))))))
(/ -1 z)
(/ (- (* -1 (/ (+ 1 y) z)) 1) z)
(/ (- (* -1 (/ (pow (+ 1 y) 2) (pow z 2))) (+ 1 (+ (/ 1 z) (/ y z)))) z)
(/ (- (* -1 (/ (pow (+ 1 y) 3) (pow z 3))) (+ 1 (+ (/ 1 z) (+ (/ y z) (/ (pow (+ 1 y) 2) (pow z 2)))))) z)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* -1 (* x z))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(* z (- (/ y z) 1))
(- (* -1 (/ (- (/ (pow (+ 1 y) 2) z) (* -1 (+ 1 y))) z)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 y) 3) z)) (pow (+ 1 y) 2)) z)) (* -1 (+ 1 y))) z)) 1)
(* -1 (/ (+ 1 (+ (/ 1 z) (/ y z))) z))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 1 y) 2) z)) (+ 1 y)) z))) z))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 y) 3) z) (* -1 (pow (+ 1 y) 2))) z)) (+ 1 y)) z))) z))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
Calls

9 calls:

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

simplify154.0ms (2.4%)

Memory
2.2MiB live, 134.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02931107
19301060
22758987
08200949
Stop Event
iter limit
node limit
Counts
87 → 85
Calls
Call 1
Inputs
(/ (* x (- (+ 1 y) z)) z)
(* -1 x)
(/ (* x y) z)
(* x (- (+ 1 y) z))
(* x (+ 1 y))
(/ x z)
(* -1 (* x (- (* -1 y) 1)))
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/ z (- 1 z))
(+ (* -1 (/ (* y z) (pow (- 1 z) 2))) (/ z (- 1 z)))
(+ (* y (- (/ (* y z) (pow (- 1 z) 3)) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z)))
(+ (* y (- (* y (- (* -1 (/ (* y z) (pow (- 1 z) 4))) (* -1 (/ z (pow (- 1 z) 3))))) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z)))
(/ 1 (- 1 z))
(+ (* -1 (/ y (pow (- 1 z) 2))) (/ 1 (- 1 z)))
(+ (* y (- (/ y (pow (- 1 z) 3)) (/ 1 (pow (- 1 z) 2)))) (/ 1 (- 1 z)))
(+ (* y (- (* y (+ (* -1 (/ y (pow (- 1 z) 4))) (/ 1 (pow (- 1 z) 3)))) (/ 1 (pow (- 1 z) 2)))) (/ 1 (- 1 z)))
(- 1 z)
(- (+ 1 y) z)
(/ y z)
(* x (- 1 z))
(+ (* x y) (* x (- 1 z)))
x
(+ x (* x y))
(* -1 z)
(- y z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/ z y)
(/ (+ z (* -1 (/ (* z (- 1 z)) y))) y)
(/ (- (+ z (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y)) y)
(/ (- (+ z (* -1 (/ (* z (pow (- 1 z) 3)) (pow y 3)))) (+ (* -1 (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y))) y)
(/ 1 y)
(/ (- (+ 1 (/ z y)) (/ 1 y)) y)
(/ (- (+ 1 (+ (* -1 (/ (* (- 1 z) (- z 1)) (pow y 2))) (/ z y))) (/ 1 y)) y)
(/ (- (+ 1 (+ (/ z y) (/ (* (pow (- 1 z) 2) (- z 1)) (pow y 3)))) (+ (/ 1 y) (/ (* (- 1 z) (- z 1)) (pow y 2)))) y)
y
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* x y)
(* y (+ x (/ (* x (- 1 z)) y)))
(* y (+ x (/ x y)))
(* y (+ 1 (* -1 (/ z y))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (/ (+ (* -1 z) (/ (* z (- 1 z)) y)) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* z (pow (- 1 z) 2)) y) (* z (- 1 z))) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- 1 z) 3)) y) (* z (pow (- 1 z) 2))) y)) (* z (- 1 z))) y))) y))
(* -1 (/ (- (* -1 (/ (- z 1) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (* (- 1 z) (- z 1)) y))) 1) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (- (* -1 (/ (* (pow (- 1 z) 2) (- z 1)) y)) (* -1 (* (- 1 z) (- z 1)))) y))) 1) y)) 1) y))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (- (/ z y) 1)))
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ z (+ 1 y))
(* z (+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2))))
(* z (+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y))))
(* z (+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y))))
(/ 1 (+ 1 y))
(+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2)))
(+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y)))
(+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y)))
(+ 1 y)
(+ 1 (+ y (* -1 z)))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(+ y (* -1 z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
-1
(- (* -1 (/ (+ 1 y) z)) 1)
(- (* -1 (/ (pow (+ 1 y) 2) (pow z 2))) (+ 1 (+ (/ 1 z) (/ y z))))
(- (* -1 (/ (pow (+ 1 y) 3) (pow z 3))) (+ 1 (+ (/ 1 z) (+ (/ y z) (/ (pow (+ 1 y) 2) (pow z 2))))))
(/ -1 z)
(/ (- (* -1 (/ (+ 1 y) z)) 1) z)
(/ (- (* -1 (/ (pow (+ 1 y) 2) (pow z 2))) (+ 1 (+ (/ 1 z) (/ y z)))) z)
(/ (- (* -1 (/ (pow (+ 1 y) 3) (pow z 3))) (+ 1 (+ (/ 1 z) (+ (/ y z) (/ (pow (+ 1 y) 2) (pow z 2)))))) z)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* -1 (* x z))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(* z (- (/ y z) 1))
(- (* -1 (/ (- (/ (pow (+ 1 y) 2) z) (* -1 (+ 1 y))) z)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 y) 3) z)) (pow (+ 1 y) 2)) z)) (* -1 (+ 1 y))) z)) 1)
(* -1 (/ (+ 1 (+ (/ 1 z) (/ y z))) z))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 1 y) 2) z)) (+ 1 y)) z))) z))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 y) 3) z) (* -1 (pow (+ 1 y) 2))) z)) (+ 1 y)) z))) z))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
Outputs
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* -1 x)
(neg.f64 x)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(* x (- (+ 1 y) z))
(fma.f64 (-.f64 y z) x x)
(* x (+ 1 y))
(fma.f64 y x x)
(/ x z)
(/.f64 x z)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
(/ (* x (- 1 z)) z)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(*.f64 (/.f64 x z) (-.f64 (-.f64 y #s(literal -1 binary64)) z))
(/ z (- 1 z))
(/.f64 z (-.f64 #s(literal 1 binary64) z))
(+ (* -1 (/ (* y z) (pow (- 1 z) 2))) (/ z (- 1 z)))
(fma.f64 (neg.f64 z) (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 z (-.f64 #s(literal 1 binary64) z)))
(+ (* y (- (/ (* y z) (pow (- 1 z) 3)) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z)))
(fma.f64 (*.f64 (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z)))) y (/.f64 z (-.f64 #s(literal 1 binary64) z)))
(+ (* y (- (* y (- (* -1 (/ (* y z) (pow (- 1 z) 4))) (* -1 (/ z (pow (- 1 z) 3))))) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (neg.f64 y) (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)))) y (/.f64 (neg.f64 z) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))) y (/.f64 z (-.f64 #s(literal 1 binary64) z)))
(/ 1 (- 1 z))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))
(+ (* -1 (/ y (pow (- 1 z) 2))) (/ 1 (- 1 z)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))
(+ (* y (- (/ y (pow (- 1 z) 3)) (/ 1 (pow (- 1 z) 2)))) (/ 1 (- 1 z)))
(fma.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))) y (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))))
(+ (* y (- (* y (+ (* -1 (/ y (pow (- 1 z) 4))) (/ 1 (pow (- 1 z) 3)))) (/ 1 (pow (- 1 z) 2)))) (/ 1 (- 1 z)))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))) (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64)))) y (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))) y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
(- (+ 1 y) z)
(-.f64 (-.f64 y #s(literal -1 binary64)) 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)
x
(+ x (* x y))
(fma.f64 y x x)
(* -1 z)
(neg.f64 z)
(- y z)
(-.f64 y z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 z #s(literal 1 binary64)) y)) (/.f64 x z)) y)
(/ z y)
(/.f64 z y)
(/ (+ z (* -1 (/ (* z (- 1 z)) y))) y)
(/.f64 (fma.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) y) z z) y)
(/ (- (+ z (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y)) y)
(/.f64 (fma.f64 (/.f64 z y) (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) y) (-.f64 #s(literal 1 binary64) z)) z) y)
(/ (- (+ z (* -1 (/ (* z (pow (- 1 z) 3)) (pow y 3)))) (+ (* -1 (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y))) y)
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 3 binary64)) (neg.f64 z) (fma.f64 (/.f64 z y) (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) y) (-.f64 #s(literal 1 binary64) z)) z)) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (- (+ 1 (/ z y)) (/ 1 y)) y)
(/.f64 (+.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) y) #s(literal 1 binary64)) y)
(/ (- (+ 1 (+ (* -1 (/ (* (- 1 z) (- z 1)) (pow y 2))) (/ z y))) (/ 1 y)) y)
(/.f64 (fma.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) y) (-.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) y) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(/ (- (+ 1 (+ (/ z y) (/ (* (pow (- 1 z) 2) (- z 1)) (pow y 3)))) (+ (/ 1 y) (/ (* (- 1 z) (- z 1)) (pow y 2)))) y)
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 3 binary64)) #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) y) (-.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) y) #s(literal -1 binary64)) #s(literal 1 binary64))) y)
y
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) y y)
(* x y)
(*.f64 y x)
(* y (+ x (/ (* x (- 1 z)) y)))
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x x) y)
(* y (+ x (/ x y)))
(*.f64 (+.f64 (/.f64 x y) x) y)
(* y (+ 1 (* -1 (/ z y))))
(fma.f64 (/.f64 (neg.f64 z) y) y y)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 z #s(literal 1 binary64)) y)) (/.f64 x z)) y)
(* -1 (/ (+ (* -1 z) (/ (* z (- 1 z)) y)) y))
(/.f64 (fma.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) y) z z) y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* z (pow (- 1 z) 2)) y) (* z (- 1 z))) y))) y))
(/.f64 (fma.f64 (/.f64 z y) (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) y) (-.f64 #s(literal 1 binary64) z)) z) y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- 1 z) 3)) y) (* z (pow (- 1 z) 2))) y)) (* z (- 1 z))) y))) y))
(/.f64 (fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 3 binary64)) (neg.f64 z) (fma.f64 (/.f64 z y) (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) y) (-.f64 #s(literal 1 binary64) z)) z)) y)
(* -1 (/ (- (* -1 (/ (- z 1) y)) 1) y))
(/.f64 (+.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) y) #s(literal 1 binary64)) y)
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (* (- 1 z) (- z 1)) y))) 1) y)) 1) y))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) y) (-.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) y) #s(literal -1 binary64)))) (neg.f64 y))
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (- (* -1 (/ (* (pow (- 1 z) 2) (- z 1)) y)) (* -1 (* (- 1 z) (- z 1)))) y))) 1) y)) 1) y))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 z (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 z #s(literal 1 binary64)) y))) y)) #s(literal 1 binary64)) y)) (neg.f64 y))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) y y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) x x) y)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(*.f64 (+.f64 (/.f64 x y) x) y)
(* -1 (* y (- (/ z y) 1)))
(fma.f64 (/.f64 (neg.f64 z) y) y y)
(/ (* 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)
(/ z (+ 1 y))
(/.f64 z (-.f64 y #s(literal -1 binary64)))
(* z (+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2))))
(fma.f64 (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))) z (/.f64 z (-.f64 y #s(literal -1 binary64))))
(* z (+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y))))
(fma.f64 (fma.f64 (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 3 binary64))) z (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))) z (/.f64 z (-.f64 y #s(literal -1 binary64))))
(* z (+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 4 binary64))) z (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)))) z (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))) z (/.f64 z (-.f64 y #s(literal -1 binary64))))
(/ 1 (+ 1 y))
(/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64)))
(+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2)))
(+.f64 (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))))
(+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y)))
(fma.f64 (+.f64 (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))))
(+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y)))
(fma.f64 (fma.f64 (+.f64 (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)))) z (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))) z (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))))
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(+ 1 (+ y (* -1 z)))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(+ (* -1 (* x z)) (* x (+ 1 y)))
(fma.f64 (-.f64 y z) x x)
(+ y (* -1 z))
(-.f64 y z)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
-1
#s(literal -1 binary64)
(- (* -1 (/ (+ 1 y) z)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y #s(literal -1 binary64)) z))
(- (* -1 (/ (pow (+ 1 y) 2) (pow z 2))) (+ 1 (+ (/ 1 z) (/ y z))))
(neg.f64 (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) (-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal -1 binary64)) #s(literal 1 binary64)))
(- (* -1 (/ (pow (+ 1 y) 3) (pow z 3))) (+ 1 (+ (/ 1 z) (+ (/ y z) (/ (pow (+ 1 y) 2) (pow z 2))))))
(-.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) (-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 3 binary64)))
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ (- (* -1 (/ (+ 1 y) z)) 1) z)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 y #s(literal -1 binary64)) z)) z)
(/ (- (* -1 (/ (pow (+ 1 y) 2) (pow z 2))) (+ 1 (+ (/ 1 z) (/ y z)))) z)
(/.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) (-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal -1 binary64)) #s(literal 1 binary64))) z)
(/ (- (* -1 (/ (pow (+ 1 y) 3) (pow z 3))) (+ 1 (+ (/ 1 z) (+ (/ y z) (/ (pow (+ 1 y) 2) (pow z 2)))))) z)
(/.f64 (-.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) (-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal 3 binary64))) z)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* -1 (* x z))
(*.f64 (neg.f64 z) x)
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(fma.f64 (-.f64 y z) x x)
(* z (- (/ y z) 1))
(-.f64 y z)
(- (* -1 (/ (- (/ (pow (+ 1 y) 2) z) (* -1 (+ 1 y))) z)) 1)
(neg.f64 (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) (-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal -1 binary64)) #s(literal 1 binary64)))
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 y) 3) z)) (pow (+ 1 y) 2)) z)) (* -1 (+ 1 y))) z)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal -1 binary64))) z) (-.f64 #s(literal -1 binary64) y)) z))
(* -1 (/ (+ 1 (+ (/ 1 z) (/ y z))) z))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) (/.f64 y z)) z)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 1 y) 2) z)) (+ 1 y)) z))) z))
(/.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) (-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal -1 binary64)) #s(literal 1 binary64))) z)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 y) 3) z) (* -1 (pow (+ 1 y) 2))) z)) (+ 1 y)) z))) z))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) z) #s(literal -1 binary64))) z) (-.f64 #s(literal -1 binary64) y)) z)) z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(fma.f64 (-.f64 y z) x x)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)

rewrite151.0ms (2.4%)

Memory
-10.9MiB live, 180.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024114
037116
1151110
21054110
08634104
Stop Event
iter limit
node limit
iter limit
Counts
15 → 946
Calls
Call 1
Inputs
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z)
(/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
(-.f64 (-.f64 y z) #s(literal -1 binary64))
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
(neg.f64 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)) (fma.f64 y x x)) z)
#s(approx (* x (+ (- y z) 1)) (fma.f64 y x x))
(fma.f64 y x x)
(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
(/.f64 x z)
(-.f64 y z)
Outputs
(*.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 (-.f64 y z) x x) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 x (-.f64 (-.f64 y z) #s(literal 1 binary64))))
(*.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 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 z #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) x))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 (-.f64 y z) #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 (-.f64 (pow.f64 (-.f64 y z) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal -1/2 binary64))))
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(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z) (*.f64 (*.f64 (-.f64 y z) x) (pow.f64 z #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z) (*.f64 (*.f64 (/.f64 x z) (-.f64 y z)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z) (*.f64 (*.f64 (-.f64 y z) (/.f64 x z)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z) (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (-.f64 y z) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x z) (-.f64 y z))))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) (/.f64 x z))))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z) (*.f64 (-.f64 y z) (/.f64 x z)))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z) (*.f64 (/.f64 x z) (-.f64 y z)))
(fma.f64 (-.f64 y z) (/.f64 x z) (/.f64 x z))
(fma.f64 y (/.f64 x z) (*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (/.f64 x z)))
(fma.f64 y (/.f64 x z) (*.f64 (/.f64 x z) (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) (/.f64 x z)) (/.f64 x z))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 x z) (-.f64 y z)) (/.f64 x z))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (*.f64 (*.f64 (-.f64 y z) x) (pow.f64 z #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (*.f64 (*.f64 (/.f64 x z) (-.f64 y z)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (*.f64 (*.f64 (-.f64 y z) (/.f64 x z)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (-.f64 y z) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x z) (-.f64 y z))))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) (/.f64 x z))))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (*.f64 (-.f64 y z) (/.f64 x z)))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (*.f64 (/.f64 x z) (-.f64 y z)))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) x) (*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (/.f64 x z)))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 y z) x) (*.f64 (/.f64 x z) (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64))))
(fma.f64 x (pow.f64 z #s(literal -1 binary64)) (*.f64 (*.f64 (-.f64 y z) x) (pow.f64 z #s(literal -1 binary64))))
(fma.f64 x (pow.f64 z #s(literal -1 binary64)) (*.f64 (*.f64 (/.f64 x z) (-.f64 y z)) #s(literal 1 binary64)))
(fma.f64 x (pow.f64 z #s(literal -1 binary64)) (*.f64 (*.f64 (-.f64 y z) (/.f64 x z)) #s(literal 1 binary64)))
(fma.f64 x (pow.f64 z #s(literal -1 binary64)) (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (-.f64 y z) x)))
(fma.f64 x (pow.f64 z #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x z) (-.f64 y z))))
(fma.f64 x (pow.f64 z #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) (/.f64 x z))))
(fma.f64 x (pow.f64 z #s(literal -1 binary64)) (*.f64 (-.f64 y z) (/.f64 x z)))
(fma.f64 x (pow.f64 z #s(literal -1 binary64)) (*.f64 (/.f64 x z) (-.f64 y z)))
(fma.f64 x (/.f64 y z) (*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (/.f64 x z)))
(fma.f64 x (/.f64 y z) (*.f64 (/.f64 x z) (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64))))
(-.f64 (fma.f64 (-.f64 y z) (/.f64 x z) #s(literal 0 binary64)) (/.f64 (neg.f64 x) z))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (/.f64 (neg.f64 x) z) (pow.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 z x)) (/.f64 z (/.f64 z x)))
(-.f64 (/.f64 (/.f64 (pow.f64 (-.f64 y z) #s(literal 2 binary64)) (-.f64 (-.f64 y z) #s(literal 1 binary64))) (/.f64 z x)) (/.f64 (pow.f64 (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 z x)))
(-.f64 (/.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 z x)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y z) (-.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 z x)))
(-.f64 (*.f64 (-.f64 y z) (/.f64 x z)) (/.f64 #s(literal -1 binary64) (/.f64 z x)))
(-.f64 (*.f64 (-.f64 y z) (/.f64 x z)) (/.f64 (neg.f64 x) z))
(-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 z (-.f64 #s(literal -1 binary64) (-.f64 y z)))))
(-.f64 (*.f64 (/.f64 y z) x) (/.f64 (-.f64 z #s(literal 1 binary64)) (/.f64 z x)))
(exp.f64 (*.f64 (log.f64 (/.f64 z (fma.f64 (-.f64 y z) x x))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 (-.f64 y z) x) (pow.f64 z #s(literal -1 binary64))) (/.f64 x z))
(+.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 x z)) (*.f64 (neg.f64 z) (/.f64 x z)))
(+.f64 (*.f64 (*.f64 (/.f64 x z) (-.f64 y z)) #s(literal 1 binary64)) (/.f64 x z))
(+.f64 (*.f64 (*.f64 (-.f64 y z) (/.f64 x z)) #s(literal 1 binary64)) (/.f64 x z))
(+.f64 (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (-.f64 y z) x)) (/.f64 x z))
(+.f64 (*.f64 (/.f64 x z) (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 x z) (neg.f64 z)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x z) (-.f64 y z))) (/.f64 x z))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) (/.f64 x z))) (/.f64 x z))
(+.f64 (*.f64 (-.f64 y z) (/.f64 x z)) (/.f64 x z))
(+.f64 (*.f64 (/.f64 x z) (-.f64 y z)) (/.f64 x z))
(+.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (-.f64 y z) x x) z))
(+.f64 (/.f64 x z) (*.f64 (*.f64 (-.f64 y z) x) (pow.f64 z #s(literal -1 binary64))))
(+.f64 (/.f64 x z) (*.f64 (*.f64 (/.f64 x z) (-.f64 y z)) #s(literal 1 binary64)))
(+.f64 (/.f64 x z) (*.f64 (*.f64 (-.f64 y z) (/.f64 x z)) #s(literal 1 binary64)))
(+.f64 (/.f64 x z) (*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 (-.f64 y z) x)))
(+.f64 (/.f64 x z) (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x z) (-.f64 y z))))
(+.f64 (/.f64 x z) (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) (/.f64 x z))))
(+.f64 (/.f64 x z) (*.f64 (-.f64 y z) (/.f64 x z)))
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) (-.f64 y z)))
(+.f64 (*.f64 (/.f64 y z) x) (*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) (/.f64 x z)))
(+.f64 (*.f64 (/.f64 y z) x) (*.f64 (/.f64 x z) (fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 z #s(literal -1 binary64)) x)
(*.f64 (/.f64 x z) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) z))
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 x (pow.f64 z #s(literal -1 binary64)))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 x) z) (/.f64 (neg.f64 x) z))) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) z)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 x) z) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 x) z) (/.f64 (neg.f64 x) z) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) z)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 z)) (*.f64 (neg.f64 z) x)) (*.f64 z z))
(/.f64 (neg.f64 x) (neg.f64 z))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) x))
(/.f64 #s(literal 1 binary64) (/.f64 z x))
(/.f64 x z)
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z)))
(neg.f64 (*.f64 (/.f64 (neg.f64 x) z) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z x)))
(neg.f64 (/.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 #s(literal 0 binary64) (/.f64 x z))
(*.f64 (*.f64 (+.f64 z y) (fma.f64 #s(literal -1 binary64) y z)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 z y))))
(*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)))))
(*.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (pow.f64 (+.f64 z y) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (neg.f64 z) (-.f64 (neg.f64 z) y)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (-.f64 y z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 y z))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal -1 binary64))
(/.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 (*.f64 z z) (*.f64 y y)) (-.f64 (neg.f64 z) 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 (fma.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 y y) (*.f64 (neg.f64 z) y))))
(/.f64 (neg.f64 (*.f64 (+.f64 z y) (fma.f64 #s(literal -1 binary64) 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 z y) (fma.f64 #s(literal -1 binary64) 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 (neg.f64 z) (-.f64 (neg.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 (fma.f64 #s(literal -1 binary64) y z) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 y y (*.f64 (neg.f64 z) (-.f64 (neg.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 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z))))
(/.f64 (-.f64 y z) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (neg.f64 z) (-.f64 (neg.f64 z) y))) (-.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 (fma.f64 #s(literal -1 binary64) y z))
(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 y) (neg.f64 z))
(fma.f64 #s(literal -1 binary64) z y)
(fma.f64 z #s(literal -1 binary64) y)
(fma.f64 y #s(literal 1 binary64) (neg.f64 z))
(fma.f64 #s(literal 1 binary64) (neg.f64 z) y)
(fma.f64 #s(literal 1 binary64) y (neg.f64 z))
(-.f64 (+.f64 y #s(literal 0 binary64)) z)
(-.f64 (/.f64 (/.f64 (*.f64 y y) (+.f64 z y)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 z z) (+.f64 z y)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z (+.f64 z y) (*.f64 y y))) #s(literal 1 binary64)))
(-.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)) (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 (neg.f64 z))

eval121.0ms (1.9%)

Memory
8.8MiB live, 206.0MiB allocated
Compiler

Compiled 19 142 to 2 636 computations (86.2% saved)

prune18.0ms (0.3%)

Memory
21.3MiB live, 60.7MiB allocated
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New9134917
Fresh134
Picked145
Done000
Total91511926
Accuracy
100.0%
Counts
926 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.0%
(/.f64 (fma.f64 (-.f64 y z) x x) z)
63.1%
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
41.4%
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
38.4%
(/.f64 x (*.f64 #s(approx (/ 1 (- (- y z) -1)) (/.f64 #s(literal 1 binary64) y)) z))
89.2%
(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
62.6%
(*.f64 (/.f64 x z) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))))
41.9%
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x)))
63.7%
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
37.0%
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
42.4%
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
38.1%
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
Compiler

Compiled 238 to 185 computations (22.3% saved)

simplify190.0ms (3%)

Memory
-4.4MiB live, 70.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
024133
035129
168129
2107129
3218129
4463129
51051129
62793129
74299129
85521129
95597129
105613129
115622129
126467129
137281129
147701129
157819129
167872129
177924129
08175129
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(fma.f64 (-.f64 y z) x x)
(-.f64 y z)
y
z
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 x z) y))
(*.f64 (/.f64 x z) y)
(/.f64 x z)
x
z
y
(/.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 z) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))))
(/.f64 x z)
x
z
#s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))
(-.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)
Outputs
(/.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
#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 x z) y))
(*.f64 (/.f64 x z) y)
(/.f64 x z)
x
z
y
(/.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 z) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))))
(*.f64 #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))) (/.f64 x z))
(/.f64 x z)
x
z
#s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))
(-.f64 y #s(literal -1 binary64))
y
#s(literal -1 binary64)

localize69.0ms (1.1%)

Memory
-22.1MiB live, 114.9MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 x z)
accuracy0
(-.f64 y #s(literal -1 binary64))
accuracy6.89886429952489
(*.f64 (/.f64 x z) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))))
accuracy23.22497756729871
#s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64)))
accuracy0
(*.f64 y x)
accuracy6.400114617736433
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
accuracy37.59386727378998
#s(approx (* x (+ (- y z) 1)) (*.f64 y x))
accuracy0
(/.f64 x z)
accuracy4.8593875886417335
(*.f64 (/.f64 x z) y)
accuracy36.759825273102045
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
accuracy0
(/.f64 x z)
accuracy0.00390625
(-.f64 (/.f64 x z) x)
accuracy23.21080400616503
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
accuracy0
(-.f64 y z)
accuracy0.00390625
(fma.f64 (-.f64 y z) x x)
accuracy6.400114617736433
(/.f64 (fma.f64 (-.f64 y z) x x) z)
Samples
57.0ms256×0valid
Compiler

Compiled 242 to 46 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 14.0ms (49.2% of total)
ival-div: 7.0ms (24.6% of total)
ival-sub: 5.0ms (17.6% of total)
ival-add: 2.0ms (7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series19.0ms (0.3%)

Memory
-5.6MiB live, 33.1MiB allocated
Counts
14 → 58
Calls
Call 1
Inputs
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(fma.f64 (-.f64 y z) x x)
(-.f64 y z)
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
(-.f64 (/.f64 x z) x)
(/.f64 x z)
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 x z) y)
(/.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 z) #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))
Outputs
(/ (* x (- (+ 1 y) z)) z)
(* x (- (+ 1 y) z))
(* x (- (/ 1 z) 1))
(/ x z)
(/ (* x y) z)
(* x y)
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z))
(* -1 (* x (- (* -1 (- y z)) 1)))
(* -1 (* x (- 1 (/ 1 z))))
(/ (+ 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)
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(* x (- 1 z))
(+ (* x y) (* x (- 1 z)))
(- 1 z)
(- (+ 1 y) z)
1
(+ 1 y)
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z)))))
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y))))
y
(* y (+ 1 (* -1 (/ z y))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ x (/ (* x (- 1 z)) y)))
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* y (+ 1 (/ 1 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)))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(/ (+ x (* x y)) z)
(/ (+ x (+ (* -1 (* x z)) (* x y))) z)
(+ x (* x y))
(+ y (* -1 z))
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(* x (+ 1 y))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(+ 1 (+ y (* -1 z)))
(* -1 x)
(* -1 (* x z))
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z))))
(* z (- (/ y z) 1))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(- (/ x z) x)
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
Calls

9 calls:

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

simplify233.0ms (3.6%)

Memory
13.9MiB live, 91.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0131339
1426337
21305327
33848327
46744327
08157299
Stop Event
iter limit
node limit
Counts
58 → 57
Calls
Call 1
Inputs
(/ (* x (- (+ 1 y) z)) z)
(* x (- (+ 1 y) z))
(* x (- (/ 1 z) 1))
(/ x z)
(/ (* x y) z)
(* x y)
(* -1 (/ (* x (- (* -1 (- y z)) 1)) z))
(* -1 (* x (- (* -1 (- y z)) 1)))
(* -1 (* x (- 1 (/ 1 z))))
(/ (+ 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)
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(* x (- 1 z))
(+ (* x y) (* x (- 1 z)))
(- 1 z)
(- (+ 1 y) z)
1
(+ 1 y)
(* y (+ (* -1 (/ x y)) (+ (/ x z) (/ x (* y z)))))
(* y (+ x (+ (* -1 (/ (* x z) y)) (/ x y))))
y
(* y (+ 1 (* -1 (/ z y))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ x (/ (* x (- 1 z)) y)))
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* y (+ 1 (/ 1 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)))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(/ (+ x (* x y)) z)
(/ (+ x (+ (* -1 (* x z)) (* x y))) z)
(+ x (* x y))
(+ y (* -1 z))
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(* x (+ 1 y))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(+ 1 (+ y (* -1 z)))
(* -1 x)
(* -1 (* x z))
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z))))
(* z (- (/ y z) 1))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(- (/ x z) x)
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
Outputs
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* x (- (+ 1 y) z))
(fma.f64 (-.f64 y z) x x)
(* x (- (/ 1 z) 1))
(-.f64 (/.f64 x z) x)
(/ x z)
(/.f64 x z)
(/ (* x y) z)
(*.f64 (/.f64 x z) y)
(* x y)
(*.f64 x y)
(* -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)
(* -1 (* x (- 1 (/ 1 z))))
(-.f64 (/.f64 x z) 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)
(/ (* 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)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
(- (+ 1 y) z)
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
1
#s(literal 1 binary64)
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(* 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)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(* y (+ x (/ (* x (- 1 z)) y)))
(fma.f64 (-.f64 y z) x x)
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* y (+ 1 (/ 1 y)))
(-.f64 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 x) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(fma.f64 (-.f64 y z) x x)
(* -1 (* y (- (/ z y) 1)))
(-.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 (/ (- 1 z) y)) 1)))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(/ (+ 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)
(+ x (* x y))
(fma.f64 x y x)
(+ y (* -1 z))
(-.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)
(* x (+ 1 y))
(fma.f64 x y x)
(+ (* -1 (* x z)) (* x (+ 1 y)))
(fma.f64 (-.f64 y z) x x)
(+ 1 (+ y (* -1 z)))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* -1 x)
(neg.f64 x)
(* -1 (* x z))
(*.f64 (neg.f64 z) x)
(* z (+ (* -1 x) (+ (/ x z) (/ (* x y) z))))
(fma.f64 (-.f64 y z) x x)
(* z (- (/ y z) 1))
(-.f64 y z)
(+ (* -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 x) (/ (* x (+ 1 y)) z)))
(fma.f64 (-.f64 y z) x x)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(-.f64 (-.f64 y #s(literal -1 binary64)) z)
(* -1 (* z (+ x (* -1 (/ (+ x (* x y)) z)))))
(fma.f64 (-.f64 y z) x x)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.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)

rewrite202.0ms (3.1%)

Memory
2.9MiB live, 149.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024112
035108
1152108
21039108
08671108
Stop Event
iter limit
node limit
iter limit
Counts
14 → 393
Calls
Call 1
Inputs
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(fma.f64 (-.f64 y z) x x)
(-.f64 y z)
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
(-.f64 (/.f64 x z) x)
(/.f64 x z)
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
(*.f64 (/.f64 x z) y)
(/.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 z) #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))
Outputs
(*.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 x (-.f64 x (*.f64 (-.f64 y z) x)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) z) (/.f64 (fma.f64 (-.f64 y z) x x) (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 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 (-.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 (pow.f64 (/.f64 z (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 y z) x (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 z (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64)) (*.f64 x x)) z) (pow.f64 (fma.f64 (-.f64 y z) x (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 3 binary64))) z) (pow.f64 (fma.f64 x (-.f64 x (*.f64 (-.f64 y z) x)) (pow.f64 (*.f64 (-.f64 y z) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) z) x)
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(-.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal -1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
(-.f64 #s(literal 1 binary64) (neg.f64 y))
(-.f64 y #s(literal -1 binary64))
(+.f64 (/.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 y)))
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))

eval135.0ms (2.1%)

Memory
22.9MiB live, 96.3MiB allocated
Compiler

Compiled 9 779 to 1 314 computations (86.6% saved)

prune68.0ms (1.1%)

Memory
-27.0MiB live, 26.2MiB allocated
Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New4580458
Fresh022
Picked055
Done044
Total45811469
Accuracy
100.0%
Counts
469 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.0%
(/.f64 (fma.f64 (-.f64 y z) x x) z)
63.1%
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
41.4%
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
38.4%
(/.f64 x (*.f64 #s(approx (/ 1 (- (- y z) -1)) (/.f64 #s(literal 1 binary64) y)) z))
89.2%
(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
62.6%
(*.f64 (/.f64 x z) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))))
41.9%
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x)))
63.7%
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
37.0%
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
42.4%
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
38.1%
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
Compiler

Compiled 144 to 112 computations (22.2% saved)

simplify132.0ms (2.1%)

Memory
25.2MiB live, 132.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff-384
(/.f64 x (*.f64 #s(approx (/ 1 (- (- y z) -1)) (/.f64 #s(literal 1 binary64) y)) z))
cost-diff0
(/.f64 #s(literal 1 binary64) y)
cost-diff0
#s(approx (/ 1 (- (- y z) -1)) (/.f64 #s(literal 1 binary64) y))
cost-diff0
(*.f64 #s(approx (/ 1 (- (- y z) -1)) (/.f64 #s(literal 1 binary64) y)) z)
cost-diff0
(/.f64 z x)
cost-diff0
(/.f64 y (/.f64 z x))
cost-diff0
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01872
02372
14972
28672
319972
443972
593872
6249872
7405572
8535072
9622472
10786072
0812871
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x)))
(/.f64 y (/.f64 z x))
y
(/.f64 z x)
z
x
(/.f64 x (*.f64 #s(approx (/ 1 (- (- y z) -1)) (/.f64 #s(literal 1 binary64) y)) z))
x
(*.f64 #s(approx (/ 1 (- (- y z) -1)) (/.f64 #s(literal 1 binary64) y)) z)
#s(approx (/ 1 (- (- y z) -1)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
z
Outputs
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x)))
(/.f64 y (/.f64 z x))
y
(/.f64 z x)
z
x
(/.f64 x (*.f64 #s(approx (/ 1 (- (- y z) -1)) (/.f64 #s(literal 1 binary64) y)) z))
(/.f64 (/.f64 x z) #s(approx (/ 1 (- (- y z) -1)) (/.f64 #s(literal 1 binary64) y)))
x
(*.f64 #s(approx (/ 1 (- (- y z) -1)) (/.f64 #s(literal 1 binary64) y)) z)
#s(approx (/ 1 (- (- y z) -1)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
z

localize88.0ms (1.4%)

Memory
-25.9MiB live, 65.8MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal 1 binary64) y)
accuracy0.1640625
(*.f64 #s(approx (/ 1 (- (- y z) -1)) (/.f64 #s(literal 1 binary64) y)) z)
accuracy2.642640959439394
(/.f64 x (*.f64 #s(approx (/ 1 (- (- y z) -1)) (/.f64 #s(literal 1 binary64) y)) z))
accuracy37.7213740435781
#s(approx (/ 1 (- (- y z) -1)) (/.f64 #s(literal 1 binary64) y))
accuracy0
(/.f64 z x)
accuracy4.854977042042577
(/.f64 y (/.f64 z x))
accuracy36.759825273102045
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x)))
Samples
65.0ms256×0valid
Compiler

Compiled 128 to 37 computations (71.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-div: 47.0ms (85.9% of total)
ival-sub: 3.0ms (5.5% of total)
ival-mult: 3.0ms (5.5% of total)
ival-add: 1.0ms (1.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series44.0ms (0.7%)

Memory
-7.5MiB live, 31.2MiB allocated
Counts
7 → 54
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x)))
(/.f64 y (/.f64 z x))
(/.f64 z x)
(*.f64 #s(approx (/ 1 (- (- y z) -1)) (/.f64 #s(literal 1 binary64) y)) z)
#s(approx (/ 1 (- (- y z) -1)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(/.f64 x (*.f64 #s(approx (/ 1 (- (- y z) -1)) (/.f64 #s(literal 1 binary64) y)) z))
Outputs
(/ (* x (- (+ 1 y) z)) z)
(/ (* x y) z)
(/ z x)
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/ z (- 1 z))
(+ (* -1 (/ (* y z) (pow (- 1 z) 2))) (/ z (- 1 z)))
(+ (* y (- (/ (* y z) (pow (- 1 z) 3)) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z)))
(+ (* y (- (* y (- (* -1 (/ (* y z) (pow (- 1 z) 4))) (* -1 (/ z (pow (- 1 z) 3))))) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z)))
(/ 1 (- 1 z))
(+ (* -1 (/ y (pow (- 1 z) 2))) (/ 1 (- 1 z)))
(+ (* y (- (/ y (pow (- 1 z) 3)) (/ 1 (pow (- 1 z) 2)))) (/ 1 (- 1 z)))
(+ (* y (- (* y (+ (* -1 (/ y (pow (- 1 z) 4))) (/ 1 (pow (- 1 z) 3)))) (/ 1 (pow (- 1 z) 2)))) (/ 1 (- 1 z)))
(/ 1 y)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/ z y)
(/ (+ z (* -1 (/ (* z (- 1 z)) y))) y)
(/ (- (+ z (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y)) y)
(/ (- (+ z (* -1 (/ (* z (pow (- 1 z) 3)) (pow y 3)))) (+ (* -1 (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y))) y)
(/ (- (+ 1 (/ z y)) (/ 1 y)) y)
(/ (- (+ 1 (+ (* -1 (/ (* (- 1 z) (- z 1)) (pow y 2))) (/ z y))) (/ 1 y)) y)
(/ (- (+ 1 (+ (/ z y) (/ (* (pow (- 1 z) 2) (- z 1)) (pow y 3)))) (+ (/ 1 y) (/ (* (- 1 z) (- z 1)) (pow y 2)))) y)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (/ (+ (* -1 z) (/ (* z (- 1 z)) y)) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* z (pow (- 1 z) 2)) y) (* z (- 1 z))) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- 1 z) 3)) y) (* z (pow (- 1 z) 2))) y)) (* z (- 1 z))) y))) y))
(* -1 (/ (- (* -1 (/ (- z 1) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (* (- 1 z) (- z 1)) y))) 1) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (- (* -1 (/ (* (pow (- 1 z) 2) (- z 1)) y)) (* -1 (* (- 1 z) (- z 1)))) y))) 1) y)) 1) y))
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ z (+ 1 y))
(* z (+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2))))
(* z (+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y))))
(* z (+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y))))
(/ 1 (+ 1 y))
(+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2)))
(+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y)))
(+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y)))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
-1
(- (* -1 (/ (+ 1 y) z)) 1)
(- (* -1 (/ (pow (+ 1 y) 2) (pow z 2))) (+ 1 (+ (/ 1 z) (/ y z))))
(- (* -1 (/ (pow (+ 1 y) 3) (pow z 3))) (+ 1 (+ (/ 1 z) (+ (/ y z) (/ (pow (+ 1 y) 2) (pow z 2))))))
(/ -1 z)
(/ (- (* -1 (/ (+ 1 y) z)) 1) z)
(/ (- (* -1 (/ (pow (+ 1 y) 2) (pow z 2))) (+ 1 (+ (/ 1 z) (/ y z)))) z)
(/ (- (* -1 (/ (pow (+ 1 y) 3) (pow z 3))) (+ 1 (+ (/ 1 z) (+ (/ y z) (/ (pow (+ 1 y) 2) (pow z 2)))))) z)
(- (* -1 (/ (- (/ (pow (+ 1 y) 2) z) (* -1 (+ 1 y))) z)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 y) 3) z)) (pow (+ 1 y) 2)) z)) (* -1 (+ 1 y))) z)) 1)
(* -1 (/ (+ 1 (+ (/ 1 z) (/ y z))) z))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 1 y) 2) z)) (+ 1 y)) z))) z))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 y) 3) z) (* -1 (pow (+ 1 y) 2))) z)) (+ 1 y)) z))) z))
Calls

9 calls:

TimeVariablePointExpression
36.0ms
z
@-inf
((/ (* x (+ (- y z) 1)) z) (/ y (/ z x)) (/ z x) (* (/ 1 (- (- y z) -1)) z) (/ 1 (- (- y z) -1)) (/ 1 y) (/ x (* (/ 1 (- (- y z) -1)) z)))
1.0ms
x
@-inf
((/ (* x (+ (- y z) 1)) z) (/ y (/ z x)) (/ z x) (* (/ 1 (- (- y z) -1)) z) (/ 1 (- (- y z) -1)) (/ 1 y) (/ x (* (/ 1 (- (- y z) -1)) z)))
1.0ms
z
@inf
((/ (* x (+ (- y z) 1)) z) (/ y (/ z x)) (/ z x) (* (/ 1 (- (- y z) -1)) z) (/ 1 (- (- y z) -1)) (/ 1 y) (/ x (* (/ 1 (- (- y z) -1)) z)))
1.0ms
y
@-inf
((/ (* x (+ (- y z) 1)) z) (/ y (/ z x)) (/ z x) (* (/ 1 (- (- y z) -1)) z) (/ 1 (- (- y z) -1)) (/ 1 y) (/ x (* (/ 1 (- (- y z) -1)) z)))
1.0ms
x
@0
((/ (* x (+ (- y z) 1)) z) (/ y (/ z x)) (/ z x) (* (/ 1 (- (- y z) -1)) z) (/ 1 (- (- y z) -1)) (/ 1 y) (/ x (* (/ 1 (- (- y z) -1)) z)))

simplify197.0ms (3.1%)

Memory
23.6MiB live, 175.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0241934
1748895
22215811
37838810
08498780
Stop Event
iter limit
node limit
Counts
54 → 54
Calls
Call 1
Inputs
(/ (* x (- (+ 1 y) z)) z)
(/ (* x y) z)
(/ z x)
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/ z (- 1 z))
(+ (* -1 (/ (* y z) (pow (- 1 z) 2))) (/ z (- 1 z)))
(+ (* y (- (/ (* y z) (pow (- 1 z) 3)) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z)))
(+ (* y (- (* y (- (* -1 (/ (* y z) (pow (- 1 z) 4))) (* -1 (/ z (pow (- 1 z) 3))))) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z)))
(/ 1 (- 1 z))
(+ (* -1 (/ y (pow (- 1 z) 2))) (/ 1 (- 1 z)))
(+ (* y (- (/ y (pow (- 1 z) 3)) (/ 1 (pow (- 1 z) 2)))) (/ 1 (- 1 z)))
(+ (* y (- (* y (+ (* -1 (/ y (pow (- 1 z) 4))) (/ 1 (pow (- 1 z) 3)))) (/ 1 (pow (- 1 z) 2)))) (/ 1 (- 1 z)))
(/ 1 y)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/ z y)
(/ (+ z (* -1 (/ (* z (- 1 z)) y))) y)
(/ (- (+ z (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y)) y)
(/ (- (+ z (* -1 (/ (* z (pow (- 1 z) 3)) (pow y 3)))) (+ (* -1 (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y))) y)
(/ (- (+ 1 (/ z y)) (/ 1 y)) y)
(/ (- (+ 1 (+ (* -1 (/ (* (- 1 z) (- z 1)) (pow y 2))) (/ z y))) (/ 1 y)) y)
(/ (- (+ 1 (+ (/ z y) (/ (* (pow (- 1 z) 2) (- z 1)) (pow y 3)))) (+ (/ 1 y) (/ (* (- 1 z) (- z 1)) (pow y 2)))) y)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (/ (+ (* -1 z) (/ (* z (- 1 z)) y)) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* z (pow (- 1 z) 2)) y) (* z (- 1 z))) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- 1 z) 3)) y) (* z (pow (- 1 z) 2))) y)) (* z (- 1 z))) y))) y))
(* -1 (/ (- (* -1 (/ (- z 1) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (* (- 1 z) (- z 1)) y))) 1) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (- (* -1 (/ (* (pow (- 1 z) 2) (- z 1)) y)) (* -1 (* (- 1 z) (- z 1)))) y))) 1) y)) 1) y))
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ z (+ 1 y))
(* z (+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2))))
(* z (+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y))))
(* z (+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y))))
(/ 1 (+ 1 y))
(+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2)))
(+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y)))
(+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y)))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
-1
(- (* -1 (/ (+ 1 y) z)) 1)
(- (* -1 (/ (pow (+ 1 y) 2) (pow z 2))) (+ 1 (+ (/ 1 z) (/ y z))))
(- (* -1 (/ (pow (+ 1 y) 3) (pow z 3))) (+ 1 (+ (/ 1 z) (+ (/ y z) (/ (pow (+ 1 y) 2) (pow z 2))))))
(/ -1 z)
(/ (- (* -1 (/ (+ 1 y) z)) 1) z)
(/ (- (* -1 (/ (pow (+ 1 y) 2) (pow z 2))) (+ 1 (+ (/ 1 z) (/ y z)))) z)
(/ (- (* -1 (/ (pow (+ 1 y) 3) (pow z 3))) (+ 1 (+ (/ 1 z) (+ (/ y z) (/ (pow (+ 1 y) 2) (pow z 2)))))) z)
(- (* -1 (/ (- (/ (pow (+ 1 y) 2) z) (* -1 (+ 1 y))) z)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 y) 3) z)) (pow (+ 1 y) 2)) z)) (* -1 (+ 1 y))) z)) 1)
(* -1 (/ (+ 1 (+ (/ 1 z) (/ y z))) z))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow (+ 1 y) 2) z)) (+ 1 y)) z))) z))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow (+ 1 y) 3) z) (* -1 (pow (+ 1 y) 2))) z)) (+ 1 y)) z))) z))
Outputs
(/ (* x (- (+ 1 y) z)) z)
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ (* x y) z)
(*.f64 (/.f64 y z) x)
(/ z x)
(/.f64 z x)
(/ (* x (- 1 z)) z)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
(/ z (- 1 z))
(/.f64 z (-.f64 #s(literal 1 binary64) z))
(+ (* -1 (/ (* y z) (pow (- 1 z) 2))) (/ z (- 1 z)))
(fma.f64 (neg.f64 y) (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (/.f64 z (-.f64 #s(literal 1 binary64) z)))
(+ (* y (- (/ (* y z) (pow (- 1 z) 3)) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z)))
(fma.f64 (*.f64 (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z)))) y (/.f64 z (-.f64 #s(literal 1 binary64) z)))
(+ (* y (- (* y (- (* -1 (/ (* y z) (pow (- 1 z) 4))) (* -1 (/ z (pow (- 1 z) 3))))) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z)))
(fma.f64 (fma.f64 (*.f64 (neg.f64 y) y) (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64))) (*.f64 (/.f64 z (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 y (-.f64 #s(literal 1 binary64) z))))) y (/.f64 z (-.f64 #s(literal 1 binary64) z)))
(/ 1 (- 1 z))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))
(+ (* -1 (/ y (pow (- 1 z) 2))) (/ 1 (- 1 z)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))))
(+ (* y (- (/ y (pow (- 1 z) 3)) (/ 1 (pow (- 1 z) 2)))) (/ 1 (- 1 z)))
(fma.f64 (-.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))) y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))
(+ (* y (- (* y (+ (* -1 (/ y (pow (- 1 z) 4))) (/ 1 (pow (- 1 z) 3)))) (/ 1 (pow (- 1 z) 2)))) (/ 1 (- 1 z)))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64))) (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64)))) y (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))) y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(*.f64 (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64)) (/.f64 x z)) y)
(/ z y)
(/.f64 z y)
(/ (+ z (* -1 (/ (* z (- 1 z)) y))) y)
(/.f64 (fma.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) y) z z) y)
(/ (- (+ z (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y)) y)
(/.f64 (fma.f64 (/.f64 z y) (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) y) (-.f64 #s(literal 1 binary64) z)) z) y)
(/ (- (+ z (* -1 (/ (* z (pow (- 1 z) 3)) (pow y 3)))) (+ (* -1 (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y))) y)
(/.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) y) (-.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) y) #s(literal -1 binary64))) z (fma.f64 (pow.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) y) #s(literal 3 binary64)) z z)) y)
(/ (- (+ 1 (/ z y)) (/ 1 y)) y)
(/.f64 (-.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) y) #s(literal -1 binary64)) y)
(/ (- (+ 1 (+ (* -1 (/ (* (- 1 z) (- z 1)) (pow y 2))) (/ z y))) (/ 1 y)) y)
(/.f64 (fma.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) y) (-.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) y) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(/ (- (+ 1 (+ (/ z y) (/ (* (pow (- 1 z) 2) (- z 1)) (pow y 3)))) (+ (/ 1 y) (/ (* (- 1 z) (- z 1)) (pow y 2)))) y)
(/.f64 (+.f64 (fma.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) y) (-.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) y) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) y) #s(literal 3 binary64))) y)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(*.f64 (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) y) #s(literal 1 binary64)) (/.f64 x z)) y)
(* -1 (/ (+ (* -1 z) (/ (* z (- 1 z)) y)) y))
(/.f64 (fma.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) y) z z) y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* z (pow (- 1 z) 2)) y) (* z (- 1 z))) y))) y))
(/.f64 (fma.f64 (/.f64 z y) (-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) y) (-.f64 #s(literal 1 binary64) z)) z) y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- 1 z) 3)) y) (* z (pow (- 1 z) 2))) y)) (* z (- 1 z))) y))) y))
(/.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) y) (-.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) y) #s(literal -1 binary64))) z (fma.f64 (pow.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) y) #s(literal 3 binary64)) z z)) y)
(* -1 (/ (- (* -1 (/ (- z 1) y)) 1) y))
(/.f64 (-.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) y) #s(literal -1 binary64)) y)
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (* (- 1 z) (- z 1)) y))) 1) y)) 1) y))
(/.f64 (fma.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) y) (-.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) y) #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(* -1 (/ (- (* -1 (/ (- (+ z (* -1 (/ (- (* -1 (/ (* (pow (- 1 z) 2) (- z 1)) y)) (* -1 (* (- 1 z) (- z 1)))) y))) 1) y)) 1) y))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 z (/.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 z #s(literal 1 binary64)) y))) y)) #s(literal 1 binary64)) y)) (neg.f64 y))
(/ (* 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)
(/ z (+ 1 y))
(/.f64 z (-.f64 y #s(literal -1 binary64)))
(* z (+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2))))
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(* z (+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y))))
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(* z (+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y))))
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(/ 1 (+ 1 y))
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(+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2)))
(+.f64 (/.f64 z (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal -1 binary64))))
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(* -1 x)
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-1
#s(literal -1 binary64)
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rewrite241.0ms (3.7%)

Memory
-8.5MiB live, 189.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01865
02365
112065
279865
0866764
Stop Event
iter limit
node limit
iter limit
Counts
7 → 151
Calls
Call 1
Inputs
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x)))
(/.f64 y (/.f64 z x))
(/.f64 z x)
(*.f64 #s(approx (/ 1 (- (- y z) -1)) (/.f64 #s(literal 1 binary64) y)) z)
#s(approx (/ 1 (- (- y z) -1)) (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
(/.f64 x (*.f64 #s(approx (/ 1 (- (- y z) -1)) (/.f64 #s(literal 1 binary64) y)) z))
Outputs
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x)))
(*.f64 (/.f64 (/.f64 y z) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (*.f64 (/.f64 (neg.f64 y) z) #s(literal -1 binary64)) x)
(*.f64 (*.f64 (/.f64 y z) #s(literal 1 binary64)) x)
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) z)) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) z))
(*.f64 (pow.f64 (/.f64 (/.f64 z x) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 z x) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 y (pow.f64 x #s(literal -1 binary64))) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 y) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (neg.f64 y) z) (neg.f64 x))
(*.f64 (*.f64 y x) (pow.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 x) y))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 (neg.f64 y) x))
(*.f64 (/.f64 (neg.f64 x) z) (neg.f64 y))
(*.f64 (/.f64 y z) x)
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 y (pow.f64 x #s(literal -1 binary64))))
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(*.f64 (pow.f64 z #s(literal -1 binary64)) (*.f64 y x))
(*.f64 (/.f64 x z) y)
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(*.f64 (/.f64 y (/.f64 z x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y (/.f64 z x)))
(*.f64 y (/.f64 x z))
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(pow.f64 (/.f64 (/.f64 z x) y) #s(literal -1 binary64))
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#s(approx (/ 1 (- (- y z) -1)) (pow.f64 y #s(literal -1 binary64)))
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(/.f64 (/.f64 (/.f64 (neg.f64 x) #s(approx (/ 1 (- (- y z) -1)) (pow.f64 y #s(literal -1 binary64)))) #s(literal -1 binary64)) z)
(/.f64 (*.f64 (/.f64 x #s(approx (/ 1 (- (- y z) -1)) (pow.f64 y #s(literal -1 binary64)))) #s(literal -1 binary64)) (neg.f64 z))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (/ 1 (- (- y z) -1)) (pow.f64 y #s(literal -1 binary64))))) (neg.f64 z))
(/.f64 (*.f64 (/.f64 x #s(approx (/ 1 (- (- y z) -1)) (pow.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)) z)
(/.f64 (pow.f64 #s(approx (/ 1 (- (- y z) -1)) (pow.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 z x))
(/.f64 (/.f64 (neg.f64 x) #s(approx (/ 1 (- (- y z) -1)) (pow.f64 y #s(literal -1 binary64)))) (neg.f64 z))
(/.f64 (/.f64 (neg.f64 x) z) (neg.f64 #s(approx (/ 1 (- (- y z) -1)) (pow.f64 y #s(literal -1 binary64)))))
(/.f64 (/.f64 x #s(approx (/ 1 (- (- y z) -1)) (pow.f64 y #s(literal -1 binary64)))) z)
(/.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) #s(approx (/ 1 (- (- y z) -1)) (pow.f64 y #s(literal -1 binary64)))) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 #s(approx (/ 1 (- (- y z) -1)) (pow.f64 y #s(literal -1 binary64))) x))
(/.f64 (/.f64 x z) #s(approx (/ 1 (- (- y z) -1)) (pow.f64 y #s(literal -1 binary64))))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 z) #s(approx (/ 1 (- (- y z) -1)) (pow.f64 y #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ 1 (- (- y z) -1)) (pow.f64 y #s(literal -1 binary64))) (/.f64 (neg.f64 z) x)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (- (- y z) -1)) (pow.f64 y #s(literal -1 binary64))) (/.f64 z x)))
(/.f64 x (*.f64 #s(approx (/ 1 (- (- y z) -1)) (pow.f64 y #s(literal -1 binary64))) z))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ 1 (- (- y z) -1)) (pow.f64 y #s(literal -1 binary64))) (/.f64 z x))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 x) z) #s(approx (/ 1 (- (- y z) -1)) (pow.f64 y #s(literal -1 binary64))))))
(neg.f64 (/.f64 (/.f64 (neg.f64 x) z) #s(approx (/ 1 (- (- y z) -1)) (pow.f64 y #s(literal -1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) #s(approx (/ 1 (- (- y z) -1)) (pow.f64 y #s(literal -1 binary64))))) (/.f64 (/.f64 (neg.f64 x) z) #s(approx (/ 1 (- (- y z) -1)) (pow.f64 y #s(literal -1 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (neg.f64 x) z) #s(approx (/ 1 (- (- y z) -1)) (pow.f64 y #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(approx (/ 1 (- (- y z) -1)) (pow.f64 y #s(literal -1 binary64))) (/.f64 z x))) #s(literal -1 binary64)))

eval21.0ms (0.3%)

Memory
31.0MiB live, 31.0MiB allocated
Compiler

Compiled 3 775 to 618 computations (83.6% saved)

prune66.0ms (1%)

Memory
-15.0MiB live, 30.5MiB allocated
Pruning

11 alts after pruning (0 fresh and 11 done)

PrunedKeptTotal
New1920192
Fresh000
Picked022
Done099
Total19211203
Accuracy
100.0%
Counts
203 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
90.0%
(/.f64 (fma.f64 (-.f64 y z) x x) z)
63.1%
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z)
41.4%
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
38.4%
(/.f64 x (*.f64 #s(approx (/ 1 (- (- y z) -1)) (/.f64 #s(literal 1 binary64) y)) z))
89.2%
(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
62.6%
(*.f64 (/.f64 x z) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))))
41.9%
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x)))
63.7%
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
37.0%
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
42.4%
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
38.1%
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
Compiler

Compiled 320 to 165 computations (48.4% saved)

regimes23.0ms (0.4%)

Memory
-0.1MiB live, 36.0MiB allocated
Counts
14 → 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 (/.f64 x z) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x)))
(*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64)))
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
(/.f64 x (*.f64 #s(approx (/ 1 (- (- y z) -1)) (/.f64 #s(literal 1 binary64) y)) z))
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 y z) #s(literal -1 binary64))) z))
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 y z) x x) #s(literal -1 binary64)))
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:

8.0ms
z
5.0ms
x
5.0ms
y
4.0ms
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Results
AccuracySegmentsBranch
99.8%2x
95.7%1y
99.8%3z
99.5%2(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes18.0ms (0.3%)

Memory
-9.6MiB live, 27.0MiB allocated
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 (/ (* 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 (/.f64 x z) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
#s(approx (/ (* x (+ (- y z) 1)) z) (/.f64 y (/.f64 z x)))
Outputs
(/.f64 (fma.f64 (-.f64 y z) x x) z)
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
(/.f64 (fma.f64 (-.f64 y z) x x) z)
Calls

4 calls:

7.0ms
z
3.0ms
x
3.0ms
y
3.0ms
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Results
AccuracySegmentsBranch
95.9%3y
95.6%3z
92.0%2(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
90.0%1x
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes12.0ms (0.2%)

Memory
20.2MiB live, 20.2MiB 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 (/.f64 x z) #s(approx (- (- y z) -1) (-.f64 y #s(literal -1 binary64))))
Outputs
#s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))
(/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y 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
3.0ms
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Results
AccuracySegmentsBranch
68.9%2x
85.3%4(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
90.5%3z
87.3%3y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes7.0ms (0.1%)

Memory
-29.4MiB live, 8.6MiB allocated
Counts
5 → 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)
Outputs
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
#s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x))
(/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z)
Calls

2 calls:

4.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
87.3%3y
73.4%3z
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes2.0ms (0%)

Memory
4.0MiB live, 4.0MiB allocated
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 (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y))
#s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 y z) x))
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

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
86.9%3y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.1%)

Memory
13.7MiB live, 13.7MiB 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:

2.0ms
x
2.0ms
z
2.0ms
y
1.0ms
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Results
AccuracySegmentsBranch
63.7%1x
63.7%1z
63.7%1(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
63.7%1y
Compiler

Compiled 12 to 17 computations (-41.7% saved)

regimes6.0ms (0.1%)

Memory
11.6MiB live, 11.6MiB 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
z
1.0ms
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
38.1%1(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
38.1%1x
38.1%1y
38.1%1z
Compiler

Compiled 12 to 17 computations (-41.7% saved)

bsearch20.0ms (0.3%)

Memory
-25.3MiB live, 21.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
3.507325266739704e-42
2.1854882249848265e-41
Samples
11.0ms96×0valid
Compiler

Compiled 114 to 110 computations (3.5% 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)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch52.0ms (0.8%)

Memory
29.8MiB live, 63.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
4.6215342859464756e+20
3.3853251461281484e+36
35.0ms
-3.6610807046495034e-7
-1.3933871677651264e-17
Samples
37.0ms320×0valid
Compiler

Compiled 472 to 394 computations (16.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-sub: 23.0ms (77.6% of total)
ival-div: 2.0ms (6.7% of total)
ival-mult: 2.0ms (6.7% of total)
ival-add: 1.0ms (3.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch26.0ms (0.4%)

Memory
-4.1MiB live, 33.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
7.0ms
4.663445974413855e+84
1.2472966605282891e+85
16.0ms
-5.965185027489781e+53
-7.446020258277459e+48
Samples
11.0ms224×0valid
Compiler

Compiled 376 to 322 computations (14.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (35.1% of total)
ival-sub: 1.0ms (17.5% of total)
ival-add: 1.0ms (17.5% of total)
ival-mult: 1.0ms (17.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch55.0ms (0.9%)

Memory
-14.7MiB live, 22.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
42.0ms
4.6215342859464756e+20
3.3853251461281484e+36
11.0ms
-5.5567747510526664e+119
-1.2260844653036972e+116
Samples
13.0ms272×0valid
Compiler

Compiled 516 to 428 computations (17.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 2.0ms (29.4% of total)
ival-div: 2.0ms (29.4% of total)
ival-mult: 2.0ms (29.4% of total)
ival-add: 1.0ms (14.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
4.6215342859464756e+20
3.3853251461281484e+36
1.0ms
-5.5567747510526664e+119
-1.2260844653036972e+116
Compiler

Compiled 552 to 446 computations (19.2% saved)

simplify50.0ms (0.8%)

Memory
-6.8MiB live, 40.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050235
163235
272235
376235
478235
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 2108713864231463/98079714615416886934934209737619787751599303819750539264 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (*.f64 (/.f64 x z) (-.f64 (-.f64 y z) #s(literal -1 binary64))))
(if (<=.f64 y #s(literal -5415987671873539/309485009821345068724781056 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (if (<=.f64 y #s(literal 470000000000000000000 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (/.f64 (fma.f64 (-.f64 y z) x x) z)))
(if (<=.f64 z #s(literal -5999999999999999959325692046169767858770250651664384 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 7500000000000000109730214230061547732275322408984912944589580903773472731883611619328 binary64)) (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))))
(if (<=.f64 y #s(literal -8499999999999999659808880547337590041819230816422807267358452860728200871933972493202527987212703888968907150397014016 binary64)) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) (if (<=.f64 y #s(literal 3800000000000000131856569729024 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 -8499999999999999659808880547337590041819230816422807267358452860728200871933972493202527987212703888968907150397014016 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (if (<=.f64 y #s(literal 3800000000000000131856569729024 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 2108713864231463/98079714615416886934934209737619787751599303819750539264 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 2108713864231463/98079714615416886934934209737619787751599303819750539264 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (*.f64 (-.f64 (-.f64 y z) #s(literal -1 binary64)) (/.f64 x z)))
(if (<=.f64 y #s(literal -5415987671873539/309485009821345068724781056 binary64)) (/.f64 (fma.f64 (-.f64 y z) x x) z) (if (<=.f64 y #s(literal 470000000000000000000 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (-.f64 (/.f64 x z) x)) (/.f64 (fma.f64 (-.f64 y z) x x) z)))
(if (<=.f64 z #s(literal -5999999999999999959325692046169767858770250651664384 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x)) (if (<=.f64 z #s(literal 7500000000000000109730214230061547732275322408984912944589580903773472731883611619328 binary64)) (/.f64 #s(approx (* x (+ (- y z) 1)) (fma.f64 y x x)) z) #s(approx (/ (* x (+ (- y z) 1)) z) (neg.f64 x))))
(if (<=.f64 y #s(literal -8499999999999999659808880547337590041819230816422807267358452860728200871933972493202527987212703888968907150397014016 binary64)) (/.f64 #s(approx (* x (+ (- y z) 1)) (*.f64 y x)) z) (if (<=.f64 y #s(literal 3800000000000000131856569729024 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 -8499999999999999659808880547337590041819230816422807267358452860728200871933972493202527987212703888968907150397014016 binary64)) #s(approx (/ (* x (+ (- y z) 1)) z) (*.f64 (/.f64 x z) y)) (if (<=.f64 y #s(literal 3800000000000000131856569729024 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))

soundness846.0ms (13.2%)

Memory
-10.2MiB live, 505.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024114
037116
1151110
21054110
08634104
082198
1263198
2804198
32494197
45560196
08356181
0824
01224
15924
245224
3743724
0853222
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 351 to 137 computations (61% saved)

preprocess141.0ms (2.2%)

Memory
-14.8MiB live, 224.3MiB allocated
Compiler

Compiled 604 to 180 computations (70.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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