Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A

Time bar (total: 3.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 9 to 9 computations (0% saved)

sample1.1s (29.5%)

Memory
78.7MiB live, 1 188.3MiB allocated
Samples
825.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 355.0ms
ival-mult: 301.0ms (84.7% of total)
ival-sub: 41.0ms (11.5% of total)
ival-true: 6.0ms (1.7% of total)
exact: 5.0ms (1.4% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

explain69.0ms (1.9%)

Memory
-4.9MiB live, 138.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
00-0-(*.f64 y #s(literal 4 binary64))
00-0-#s(literal 4 binary64)
00-0-z
00-0-(*.f64 (*.f64 y #s(literal 4 binary64)) z)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
24.0ms512×0valid
Compiler

Compiled 49 to 25 computations (49% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 7.0ms (70.2% of total)
ival-sub: 2.0ms (20.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess24.0ms (0.7%)

Memory
-5.6MiB live, 39.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02669
16766
217166
336066
444166
545366
077
0107
1177
2427
3907
41557
51897
01896
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Outputs
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
Symmetry

(sort y z)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Compiler

Compiled 7 to 7 computations (0% saved)

simplify5.0ms (0.1%)

Memory
9.4MiB live, 9.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y #s(literal 4 binary64))
cost-diff0
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
cost-diff1
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
01019
11719
24219
39019
415519
518919
018918
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
x
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
z
Outputs
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
x
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
y
#s(literal 4 binary64)
z

localize21.0ms (0.6%)

Memory
-10.2MiB live, 35.0MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
accuracy0.0
(*.f64 y #s(literal 4 binary64))
accuracy0.0078125
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Samples
13.0ms256×0valid
Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (62.3% of total)
ival-sub: 1.0ms (20.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.2%)

Memory
12.2MiB live, 12.2MiB allocated
Counts
3 → 12
Calls
Call 1
Inputs
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
Outputs
(* -4 (* y z))
(- x (* 4 (* y z)))
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(+ x (* -4 (* y z)))
(* 4 (* y z))
(* 4 y)
(* y (- (/ x y) (* 4 z)))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(* z (- (/ x z) (* 4 y)))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@inf
((- x (* (* y 4) z)) (* (* y 4) z) (* y 4))
1.0ms
y
@inf
((- x (* (* y 4) z)) (* (* y 4) z) (* y 4))
1.0ms
y
@0
((- x (* (* y 4) z)) (* (* y 4) z) (* y 4))
1.0ms
y
@-inf
((- x (* (* y 4) z)) (* (* y 4) z) (* y 4))
1.0ms
z
@0
((- x (* (* y 4) z)) (* (* y 4) z) (* y 4))

simplify118.0ms (3.3%)

Memory
-43.7MiB live, 102.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03870
19470
225470
387770
4272970
5481770
6561070
7608670
8772470
0819262
Stop Event
iter limit
node limit
Counts
12 → 11
Calls
Call 1
Inputs
(* -4 (* y z))
(- x (* 4 (* y z)))
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(+ x (* -4 (* y z)))
(* 4 (* y z))
(* 4 y)
(* y (- (/ x y) (* 4 z)))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(* z (- (/ x z) (* 4 y)))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
Outputs
(* -4 (* y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(- x (* 4 (* y z)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(* 4 (* y z))
(*.f64 #s(literal 4 binary64) (*.f64 z y))
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* y (- (/ x y) (* 4 z)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(* z (- (/ x z) (* 4 y)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)

rewrite210.0ms (5.9%)

Memory
43.6MiB live, 317.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
01015
13015
220015
3205315
0890214
Stop Event
iter limit
node limit
iter limit
Counts
3 → 309
Calls
Call 1
Inputs
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
(*.f64 y #s(literal 4 binary64))
Outputs
(*.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x))) #s(literal 2 binary64)))) (fma.f64 x x (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x))))
(*.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (*.f64 z y) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x))) (-.f64 (*.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))) (fma.f64 (*.f64 z #s(literal -4 binary64)) y x))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) (-.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) x) (*.f64 x x)))
(*.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) (/.f64 (fma.f64 (*.f64 z #s(literal -4 binary64)) y x) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)))
(*.f64 (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x)) (/.f64 (fma.f64 (*.f64 z #s(literal -4 binary64)) y x) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 z)) (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 (neg.f64 z)) (*.f64 #s(literal 4 binary64) y)) (*.f64 (neg.f64 (neg.f64 z)) (*.f64 #s(literal 4 binary64) y)) (*.f64 x (*.f64 (neg.f64 (neg.f64 z)) (*.f64 #s(literal 4 binary64) y))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (neg.f64 y)) (*.f64 z #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 (neg.f64 y)) (*.f64 z #s(literal 4 binary64))) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 z #s(literal 4 binary64))) (*.f64 x (*.f64 (neg.f64 (neg.f64 y)) (*.f64 z #s(literal 4 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) (*.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 z) (*.f64 #s(literal -4 binary64) y)) (*.f64 (neg.f64 z) (*.f64 #s(literal -4 binary64) y)) (*.f64 x (*.f64 (neg.f64 z) (*.f64 #s(literal -4 binary64) y))))))
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal 6 binary64)) (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 z (*.f64 #s(literal 4 binary64) y) x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (fma.f64 z (*.f64 #s(literal 4 binary64) y) x))) (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x)))))))
(/.f64 (+.f64 (neg.f64 (*.f64 x x)) (neg.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 z (*.f64 #s(literal 4 binary64) y) x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) #s(literal 2 binary64)))) (fma.f64 (*.f64 z #s(literal -4 binary64)) y x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x))) #s(literal 2 binary64)))) (fma.f64 (*.f64 z #s(literal -4 binary64)) y x))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal 6 binary64)) (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 z (*.f64 #s(literal 4 binary64) y) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) #s(literal 2 binary64)) (*.f64 (*.f64 x (/.f64 x (fma.f64 z (*.f64 #s(literal 4 binary64) y) x))) (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x))))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))))) (neg.f64 (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x))) (*.f64 (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) x)))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) (neg.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))))) (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64)))
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(*.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) y)) (sqrt.f64 (*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) z)))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 z #s(literal 4 binary64)) #s(literal 2 binary64)) y)) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y (pow.f64 (*.f64 z #s(literal 4 binary64)) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (pow.f64 (*.f64 z #s(literal 4 binary64)) #s(literal 2 binary64)) y)))
(*.f64 (exp.f64 (log.f64 (*.f64 z y))) (exp.f64 (log.f64 #s(literal 4 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 4 binary64))) (exp.f64 (log.f64 (*.f64 z y))))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) y))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (*.f64 z #s(literal 4 binary64)))))
(*.f64 (exp.f64 (log.f64 (*.f64 z #s(literal 4 binary64)))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) y))) (exp.f64 (log.f64 z)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 z y) #s(literal 1 binary64)) #s(literal 4 binary64))
(*.f64 (pow.f64 (*.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (*.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (fabs.f64 z) (*.f64 (fabs.f64 y) #s(literal 4 binary64)))
(*.f64 (*.f64 (fabs.f64 y) #s(literal 4 binary64)) (fabs.f64 z))
(*.f64 (fabs.f64 (*.f64 z y)) #s(literal 4 binary64))
(*.f64 (*.f64 (fabs.f64 z) #s(literal 4 binary64)) (fabs.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 (*.f64 #s(literal -4 binary64) z)))
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 z) #s(literal 4 binary64)))
(*.f64 (*.f64 z y) #s(literal 4 binary64))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z y) (*.f64 z (*.f64 #s(literal 4 binary64) y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) z))))
(*.f64 (*.f64 z #s(literal 4 binary64)) y)
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (fabs.f64 (fabs.f64 (*.f64 z y))))
(*.f64 #s(literal 4 binary64) (fabs.f64 (*.f64 (neg.f64 y) z)))
(*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 z y) #s(literal 1 binary64)))
(*.f64 #s(literal 4 binary64) (fabs.f64 (*.f64 z y)))
(*.f64 #s(literal 4 binary64) (*.f64 z y))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64))
(neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(sqrt.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(fabs.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y))))
(+.f64 (cosh.f64 (log.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)))) (sinh.f64 (log.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)))))
(*.f64 (neg.f64 (neg.f64 y)) #s(literal 4 binary64))
(*.f64 #s(literal -4 binary64) (neg.f64 y))
(*.f64 (neg.f64 y) #s(literal -4 binary64))
(*.f64 #s(literal 4 binary64) (neg.f64 (neg.f64 y)))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(neg.f64 (*.f64 #s(literal -4 binary64) y))

eval44.0ms (1.2%)

Memory
-16.0MiB live, 83.5MiB allocated
Compiler

Compiled 11 053 to 820 computations (92.6% saved)

prune4.0ms (0.1%)

Memory
18.9MiB live, 18.9MiB allocated
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New3112313
Fresh000
Picked101
Done000
Total3122314
Accuracy
100.0%
Counts
314 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
48.7%
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify6.0ms (0.2%)

Memory
11.1MiB live, 11.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 5 expressions of interest:

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01237
01537
12736
26136
311336
418336
518836
018836
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
z
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
z
x
Outputs
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
z
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(*.f64 #s(literal -4 binary64) y)
#s(literal -4 binary64)
y
z
x

localize34.0ms (1%)

Memory
-37.3MiB live, 53.9MiB allocated
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
accuracy0.0
(*.f64 #s(literal -4 binary64) y)
accuracy0.0
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
accuracy0.0
(*.f64 #s(literal -4 binary64) y)
accuracy32.830430685718
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
Samples
22.0ms256×0valid
Compiler

Compiled 34 to 13 computations (61.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 10.0ms (75.1% of total)
ival-sub: 1.0ms (7.5% of total)
ival-add: 1.0ms (7.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
11.0MiB live, 11.0MiB allocated
Counts
4 → 15
Calls
Call 1
Inputs
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 #s(literal -4 binary64) y)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
Outputs
(* -4 (* y z))
(- x (* 4 (* y z)))
(+ x (* -4 (* y z)))
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(* -4 y)
(* y (- (/ x y) (* 4 z)))
(* y (+ (* -4 z) (/ x y)))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(* -1 (* y (+ (* -1 (/ x y)) (* 4 z))))
(* z (- (/ x z) (* 4 y)))
(* z (+ (* -4 y) (/ x z)))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* 4 y))))
Calls

9 calls:

TimeVariablePointExpression
1.0ms
y
@0
((- x (* (* y 4) z)) (* (* -4 y) z) (* -4 y) (+ (* (* -4 y) z) x))
1.0ms
y
@-inf
((- x (* (* y 4) z)) (* (* -4 y) z) (* -4 y) (+ (* (* -4 y) z) x))
1.0ms
y
@inf
((- x (* (* y 4) z)) (* (* -4 y) z) (* -4 y) (+ (* (* -4 y) z) x))
0.0ms
z
@-inf
((- x (* (* y 4) z)) (* (* -4 y) z) (* -4 y) (+ (* (* -4 y) z) x))
0.0ms
z
@0
((- x (* (* y 4) z)) (* (* -4 y) z) (* -4 y) (+ (* (* -4 y) z) x))

simplify85.0ms (2.4%)

Memory
-0.4MiB live, 100.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04893
113293
238793
3106193
4243493
5425493
6642593
7795593
0801581
Stop Event
iter limit
node limit
Counts
15 → 14
Calls
Call 1
Inputs
(* -4 (* y z))
(- x (* 4 (* y z)))
(+ x (* -4 (* y z)))
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(* -4 y)
(* y (- (/ x y) (* 4 z)))
(* y (+ (* -4 z) (/ x y)))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(* -1 (* y (+ (* -1 (/ x y)) (* 4 z))))
(* z (- (/ x z) (* 4 y)))
(* z (+ (* -4 y) (/ x z)))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* 4 y))))
Outputs
(* -4 (* y z))
(*.f64 (*.f64 z y) #s(literal -4 binary64))
(- x (* 4 (* y z)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* y (- (/ x y) (* 4 z)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(* y (+ (* -4 z) (/ x y)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(* -1 (* y (+ (* -1 (/ x y)) (* 4 z))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(* z (- (/ x z) (* 4 y)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(* z (+ (* -4 y) (/ x z)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(* -1 (* z (+ (* -1 (/ x z)) (* 4 y))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)

rewrite196.0ms (5.5%)

Memory
16.3MiB live, 298.1MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01227
01527
15026
237126
3403326
0890426
Stop Event
iter limit
node limit
iter limit
Counts
4 → 441
Calls
Call 1
Inputs
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 #s(literal -4 binary64) y)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
Outputs
#s(approx (- x (* (* y 4) z)) (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(*.f64 (fabs.f64 (*.f64 z (neg.f64 y))) #s(literal 4 binary64))
(*.f64 (fabs.f64 (*.f64 (neg.f64 y) z)) #s(literal 4 binary64))
(*.f64 (fabs.f64 (*.f64 (neg.f64 z) (neg.f64 y))) #s(literal 4 binary64))
(*.f64 (fabs.f64 (*.f64 (neg.f64 z) #s(literal -4 binary64))) (fabs.f64 y))
(*.f64 (fabs.f64 (*.f64 (neg.f64 z) #s(literal 4 binary64))) (fabs.f64 y))
(*.f64 (fabs.f64 (*.f64 (neg.f64 z) y)) #s(literal 4 binary64))
(*.f64 (fabs.f64 (*.f64 (fabs.f64 y) #s(literal 4 binary64))) (fabs.f64 (fabs.f64 z)))
(*.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 (*.f64 (fabs.f64 y) #s(literal 4 binary64))))
(*.f64 (fabs.f64 (*.f64 (fabs.f64 z) #s(literal 4 binary64))) (fabs.f64 (fabs.f64 y)))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (*.f64 (fabs.f64 z) #s(literal 4 binary64))))
(*.f64 (fabs.f64 (fabs.f64 (*.f64 z y))) #s(literal 4 binary64))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) y) z)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 z y) #s(literal 16 binary64)) z)) (sqrt.f64 y))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) z) (neg.f64 y))) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) z) #s(literal -4 binary64))) (sqrt.f64 y))
(*.f64 (sqrt.f64 (*.f64 (*.f64 y y) (*.f64 z #s(literal 4 binary64)))) (sqrt.f64 (*.f64 z #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 16 binary64) (*.f64 z y))) (sqrt.f64 (*.f64 z y)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) (*.f64 #s(literal -4 binary64) z))) (sqrt.f64 y))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 4 binary64))) (sqrt.f64 (*.f64 z y)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 2 binary64))) (sqrt.f64 (*.f64 y y)))
(*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) z)) (sqrt.f64 (*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) y)))
(*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 z z)) y)))
(*.f64 (sqrt.f64 (*.f64 y y)) (sqrt.f64 (pow.f64 (*.f64 #s(literal -4 binary64) z) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 y y)) (sqrt.f64 (*.f64 #s(literal 16 binary64) (*.f64 z z))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 16 binary64) (*.f64 z z))) (sqrt.f64 (*.f64 y y)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal 4 binary64))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))) (sqrt.f64 (*.f64 z z)))
(*.f64 (sqrt.f64 (*.f64 z z)) (sqrt.f64 (pow.f64 (*.f64 #s(literal -4 binary64) y) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z y) #s(literal 16 binary64))) (sqrt.f64 (*.f64 z y)))
(*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y)))))
(*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 (*.f64 z y) #s(literal 16 binary64))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) y)) (sqrt.f64 (*.f64 z #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 4 binary64))) (sqrt.f64 (*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) y)))
(*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) y)) (sqrt.f64 (*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) z)))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64)))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal -4 binary64))))
(*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y))) (sqrt.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 z y) #s(literal 16 binary64)) y)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (*.f64 (*.f64 z y) #s(literal 16 binary64)) y)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) z)) (sqrt.f64 (*.f64 #s(literal -4 binary64) y)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) z)) (sqrt.f64 (*.f64 #s(literal 4 binary64) y)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) y)) (sqrt.f64 (*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) z)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 z z)) y)) (sqrt.f64 (neg.f64 y)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 z z)) y)) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y (*.f64 #s(literal 16 binary64) (*.f64 z z)))))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 z (*.f64 #s(literal 4 binary64) y)))))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) z))))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 z z)) y)))
(*.f64 (exp.f64 (log.f64 #s(literal 4 binary64))) (exp.f64 (log.f64 (*.f64 z y))))
(*.f64 (exp.f64 (log.f64 #s(literal -4 binary64))) (exp.f64 (log.f64 (*.f64 z y))))
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal -4 binary64) z))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (*.f64 #s(literal -4 binary64) z))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (*.f64 z #s(literal 4 binary64)))))
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) y))) (exp.f64 (log.f64 z)))
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal -4 binary64) y))) (exp.f64 (log.f64 z)))
(*.f64 (exp.f64 (log.f64 (*.f64 z y))) (exp.f64 (log.f64 #s(literal 4 binary64))))
(*.f64 (exp.f64 (log.f64 (*.f64 z y))) (exp.f64 (log.f64 #s(literal -4 binary64))))
(*.f64 (exp.f64 (log.f64 (*.f64 z #s(literal 4 binary64)))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) y))))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (*.f64 #s(literal -4 binary64) y))))
(*.f64 (*.f64 (neg.f64 z) (neg.f64 y)) #s(literal 4 binary64))
(*.f64 (*.f64 (neg.f64 z) #s(literal -4 binary64)) y)
(*.f64 (*.f64 (neg.f64 y) z) #s(literal 4 binary64))
(*.f64 (*.f64 z (neg.f64 y)) #s(literal 4 binary64))
(*.f64 (*.f64 (neg.f64 z) #s(literal 4 binary64)) (neg.f64 y))
(*.f64 (*.f64 (neg.f64 z) #s(literal 4 binary64)) y)
(*.f64 (*.f64 (neg.f64 z) y) #s(literal -4 binary64))
(*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64))
(*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) z)) y)
(*.f64 (neg.f64 (*.f64 z y)) #s(literal -4 binary64))
(*.f64 (neg.f64 (*.f64 z y)) #s(literal 4 binary64))
(*.f64 (neg.f64 (*.f64 z #s(literal 4 binary64))) y)
(*.f64 (*.f64 (fabs.f64 z) #s(literal 4 binary64)) (fabs.f64 y))
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(*.f64 (*.f64 (fabs.f64 y) #s(literal 4 binary64)) (fabs.f64 z))
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(fma.f64 #s(literal 4 binary64) (*.f64 z y) (neg.f64 x))
(fma.f64 #s(literal 4 binary64) (*.f64 z y) x)
(fma.f64 y (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 z z)) y) (fma.f64 (*.f64 #s(literal -4 binary64) y) z x)) (*.f64 x (/.f64 x (fma.f64 (*.f64 #s(literal -4 binary64) y) z x))))
(fma.f64 y (neg.f64 (*.f64 #s(literal -4 binary64) z)) (neg.f64 x))
(fma.f64 y (neg.f64 (*.f64 #s(literal -4 binary64) z)) x)
(fma.f64 y (neg.f64 (*.f64 z #s(literal 4 binary64))) (neg.f64 x))
(fma.f64 y (neg.f64 (*.f64 z #s(literal 4 binary64))) x)
(fma.f64 y (*.f64 #s(literal -4 binary64) z) (neg.f64 x))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 y (*.f64 z #s(literal 4 binary64)) (neg.f64 x))
(fma.f64 y (*.f64 z #s(literal 4 binary64)) x)
(fma.f64 x (/.f64 x (fma.f64 (*.f64 #s(literal -4 binary64) y) z x)) (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) y) z x)))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) z x) x))) (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) z x) x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) z x) x))) (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) z x) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) z x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) z x) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) y) z x)) (*.f64 x (/.f64 x (fma.f64 (*.f64 #s(literal -4 binary64) y) z x))))
(-.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 #s(literal -4 binary64) y) z x))) (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) y) z x)))
(-.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) x)
(-.f64 x (*.f64 (neg.f64 (neg.f64 z)) (*.f64 #s(literal 4 binary64) y)))
(-.f64 x (*.f64 (neg.f64 (neg.f64 y)) (*.f64 z #s(literal 4 binary64))))
(-.f64 x (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) z x) x))) (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) z x) x))))
(+.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) z x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) z x) x))))
(+.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) y) z x)) (*.f64 x (/.f64 x (fma.f64 (*.f64 #s(literal -4 binary64) y) z x))))
(+.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 #s(literal -4 binary64) y) z x))) (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) y) z x)))
(+.f64 (neg.f64 x) (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(+.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) (neg.f64 x))
(+.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) x)
(+.f64 x (*.f64 (neg.f64 (neg.f64 z)) (*.f64 #s(literal -4 binary64) y)))
(+.f64 x (*.f64 (neg.f64 (neg.f64 z)) (*.f64 #s(literal 4 binary64) y)))
(+.f64 x (*.f64 (neg.f64 (neg.f64 y)) (*.f64 z #s(literal 4 binary64))))
(+.f64 x (*.f64 z (*.f64 #s(literal 4 binary64) y)))

eval109.0ms (3%)

Memory
29.8MiB live, 160.7MiB allocated
Compiler

Compiled 7 782 to 870 computations (88.8% saved)

prune45.0ms (1.3%)

Memory
-44.5MiB live, 59.1MiB allocated
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New4483451
Fresh000
Picked112
Done000
Total4494453
Accuracy
100.0%
Counts
453 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
48.7%
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
2.2%
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z #s(literal 4 binary64)) y))
48.7%
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
Compiler

Compiled 45 to 39 computations (13.3% saved)

simplify7.0ms (0.2%)

Memory
21.6MiB live, 21.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z y)
cost-diff0
(*.f64 (*.f64 z y) #s(literal -4 binary64))
cost-diff0
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
cost-diff0
(*.f64 z #s(literal 4 binary64))
cost-diff0
(*.f64 (*.f64 z #s(literal 4 binary64)) y)
cost-diff0
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z #s(literal 4 binary64)) y))
cost-diff0
(*.f64 #s(literal -4 binary64) z)
cost-diff0
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
cost-diff0
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01772
02372
13972
26172
310372
415872
518172
018169
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z #s(literal 4 binary64)) y))
(*.f64 (*.f64 z #s(literal 4 binary64)) y)
(*.f64 z #s(literal 4 binary64))
z
#s(literal 4 binary64)
y
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(*.f64 (*.f64 z y) #s(literal -4 binary64))
(*.f64 z y)
z
y
#s(literal -4 binary64)
Outputs
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z #s(literal 4 binary64)) y))
#s(approx (- x (* (* y 4) z)) (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(*.f64 (*.f64 z #s(literal 4 binary64)) y)
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 z #s(literal 4 binary64))
z
#s(literal 4 binary64)
y
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
(*.f64 (*.f64 z y) #s(literal -4 binary64))
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 z y)
z
y
#s(literal -4 binary64)

localize103.0ms (2.9%)

Memory
-18.9MiB live, 114.4MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 z y)
accuracy0.01953125
(*.f64 (*.f64 z y) #s(literal -4 binary64))
accuracy32.830430685718
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
accuracy0.0
(*.f64 z #s(literal 4 binary64))
accuracy0.22993074347585632
(*.f64 (*.f64 z #s(literal 4 binary64)) y)
accuracy62.592411671784454
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z #s(literal 4 binary64)) y))
accuracy0.0
(*.f64 #s(literal -4 binary64) z)
accuracy0.22993074347585632
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
accuracy32.830430685718
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
Samples
68.0ms256×0valid
Compiler

Compiled 56 to 16 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 41.0ms (95.5% of total)
ival-sub: 1.0ms (2.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.2%)

Memory
21.3MiB live, 21.3MiB allocated
Counts
9 → 14
Calls
Call 1
Inputs
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 #s(literal -4 binary64) z)
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z #s(literal 4 binary64)) y))
(*.f64 (*.f64 z #s(literal 4 binary64)) y)
(*.f64 z #s(literal 4 binary64))
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(*.f64 (*.f64 z y) #s(literal -4 binary64))
(*.f64 z y)
Outputs
(* -4 (* y z))
(- x (* 4 (* y z)))
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(+ x (* -4 (* y z)))
(* 4 (* y z))
(* y z)
(* y (- (/ x y) (* 4 z)))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(* -4 z)
(* 4 z)
(* z (- (/ x z) (* 4 y)))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@-inf
((- x (* (* y 4) z)) (* (* -4 z) y) (* -4 z) (- x (* (* y 4) z)) (* (* z 4) y) (* z 4) (- x (* (* y 4) z)) (* (* z y) -4) (* z y))
1.0ms
z
@inf
((- x (* (* y 4) z)) (* (* -4 z) y) (* -4 z) (- x (* (* y 4) z)) (* (* z 4) y) (* z 4) (- x (* (* y 4) z)) (* (* z y) -4) (* z y))
1.0ms
y
@-inf
((- x (* (* y 4) z)) (* (* -4 z) y) (* -4 z) (- x (* (* y 4) z)) (* (* z 4) y) (* z 4) (- x (* (* y 4) z)) (* (* z y) -4) (* z y))
1.0ms
z
@0
((- x (* (* y 4) z)) (* (* -4 z) y) (* -4 z) (- x (* (* y 4) z)) (* (* z 4) y) (* z 4) (- x (* (* y 4) z)) (* (* z y) -4) (* z y))
1.0ms
y
@inf
((- x (* (* y 4) z)) (* (* -4 z) y) (* -4 z) (- x (* (* y 4) z)) (* (* z 4) y) (* z 4) (- x (* (* y 4) z)) (* (* z y) -4) (* z y))

simplify121.0ms (3.4%)

Memory
-12.8MiB live, 132.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03876
19476
225476
387576
4273976
5482976
6562076
7609776
8773576
0801068
Stop Event
iter limit
node limit
Counts
14 → 13
Calls
Call 1
Inputs
(* -4 (* y z))
(- x (* 4 (* y z)))
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(+ x (* -4 (* y z)))
(* 4 (* y z))
(* y z)
(* y (- (/ x y) (* 4 z)))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(* -4 z)
(* 4 z)
(* z (- (/ x z) (* 4 y)))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
Outputs
(* -4 (* y z))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(- x (* 4 (* y z)))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(* 4 (* y z))
(*.f64 (*.f64 z y) #s(literal 4 binary64))
(* y z)
(*.f64 z y)
(* y (- (/ x y) (* 4 z)))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* 4 z)
(*.f64 z #s(literal 4 binary64))
(* z (- (/ x z) (* 4 y)))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)

rewrite340.0ms (9.5%)

Memory
19.3MiB live, 269.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01763
02363
15263
222863
3222663
0887060
Stop Event
iter limit
node limit
iter limit
Counts
9 → 121
Calls
Call 1
Inputs
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 #s(literal -4 binary64) z)
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z #s(literal 4 binary64)) y))
(*.f64 (*.f64 z #s(literal 4 binary64)) y)
(*.f64 z #s(literal 4 binary64))
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(*.f64 (*.f64 z y) #s(literal -4 binary64))
(*.f64 z y)
Outputs
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64))
(*.f64 (*.f64 z (neg.f64 y)) #s(literal 4 binary64))
(*.f64 (*.f64 (neg.f64 y) z) #s(literal 4 binary64))
(*.f64 (neg.f64 (*.f64 z y)) #s(literal 4 binary64))
(*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y))
(*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 (*.f64 z y) #s(literal -4 binary64))
(*.f64 (*.f64 z #s(literal 4 binary64)) (neg.f64 y))
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 #s(literal -4 binary64) (*.f64 z y))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 (*.f64 #s(literal 4 binary64) y) (neg.f64 z))
(*.f64 #s(literal 4 binary64) (*.f64 (neg.f64 y) z))
(*.f64 #s(literal 4 binary64) (neg.f64 (*.f64 z y)))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(neg.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(*.f64 (neg.f64 z) #s(literal 4 binary64))
(*.f64 #s(literal -4 binary64) z)
(*.f64 z #s(literal -4 binary64))
(*.f64 #s(literal 4 binary64) (neg.f64 z))
(neg.f64 (*.f64 z #s(literal 4 binary64)))
#s(approx (- x (* (* y 4) z)) (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(*.f64 (fabs.f64 (*.f64 (neg.f64 z) y)) #s(literal 4 binary64))
(*.f64 (fabs.f64 (*.f64 z (neg.f64 y))) #s(literal 4 binary64))
(*.f64 (fabs.f64 (*.f64 (neg.f64 y) z)) #s(literal 4 binary64))
(*.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 (*.f64 (fabs.f64 y) #s(literal 4 binary64))))
(*.f64 (fabs.f64 (*.f64 (fabs.f64 y) #s(literal 4 binary64))) (fabs.f64 (fabs.f64 z)))
(*.f64 (fabs.f64 (*.f64 (fabs.f64 z) #s(literal 4 binary64))) (fabs.f64 (fabs.f64 y)))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (*.f64 (fabs.f64 z) #s(literal 4 binary64))))
(*.f64 (fabs.f64 (fabs.f64 (*.f64 z y))) #s(literal 4 binary64))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) z) y)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) y) z)) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) (*.f64 #s(literal -4 binary64) y))) (sqrt.f64 z))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) (*.f64 z y))) (sqrt.f64 #s(literal -4 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) (*.f64 #s(literal -4 binary64) z))) (sqrt.f64 y))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal -4 binary64))) (sqrt.f64 (*.f64 z y)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) z)) (sqrt.f64 (*.f64 #s(literal -4 binary64) y)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) (*.f64 z y))) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 4 binary64))) (sqrt.f64 (*.f64 z y)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z)) (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z)))
(*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) y)) (sqrt.f64 (*.f64 z (*.f64 (*.f64 #s(literal -4 binary64) y) z))))
(*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 #s(literal -4 binary64) y) z))))
(*.f64 (sqrt.f64 (*.f64 z y)) (sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y)))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) y)) (sqrt.f64 (*.f64 z #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (*.f64 z #s(literal 4 binary64))) (sqrt.f64 (*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) y)))
(*.f64 (sqrt.f64 (*.f64 #s(literal -4 binary64) z)) (sqrt.f64 (*.f64 y (*.f64 (*.f64 #s(literal -4 binary64) y) z))))
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 (*.f64 z y) (*.f64 (*.f64 #s(literal -4 binary64) y) z))))
(*.f64 (sqrt.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y))) (sqrt.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) z)) (sqrt.f64 z))
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) (*.f64 (*.f64 #s(literal -4 binary64) y) z))))
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 y y)) z)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) z)) (sqrt.f64 (*.f64 #s(literal 4 binary64) y)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) y)) (sqrt.f64 (*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) z)))
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 z #s(literal 4 binary64)) #s(literal 2 binary64)) y)) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) (*.f64 (*.f64 #s(literal -4 binary64) y) z))))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (pow.f64 (*.f64 z #s(literal 4 binary64)) #s(literal 2 binary64)) y)))
(*.f64 (exp.f64 (log.f64 (*.f64 z y))) (exp.f64 (log.f64 #s(literal 4 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 4 binary64))) (exp.f64 (log.f64 (*.f64 z y))))
(*.f64 (exp.f64 (log.f64 (*.f64 z #s(literal 4 binary64)))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) y))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (*.f64 z #s(literal 4 binary64)))))
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) y))) (exp.f64 (log.f64 z)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 z y) #s(literal 1 binary64)) #s(literal 4 binary64))
(*.f64 (pow.f64 (*.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (*.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (fabs.f64 z) (*.f64 (fabs.f64 y) #s(literal 4 binary64)))
(*.f64 (*.f64 (fabs.f64 y) #s(literal 4 binary64)) (fabs.f64 z))
(*.f64 (fabs.f64 (*.f64 z y)) #s(literal 4 binary64))
(*.f64 (*.f64 (fabs.f64 z) #s(literal 4 binary64)) (fabs.f64 y))
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 z) #s(literal 4 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 z (*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) y))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 (*.f64 z y) (*.f64 z (*.f64 #s(literal 4 binary64) y)))))
(*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 y (*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) z))))
(*.f64 (*.f64 z y) #s(literal 4 binary64))
(*.f64 (*.f64 z #s(literal 4 binary64)) y)
(*.f64 z (*.f64 #s(literal 4 binary64) y))
(*.f64 (*.f64 #s(literal 4 binary64) y) z)
(*.f64 #s(literal 4 binary64) (fabs.f64 (*.f64 (neg.f64 y) z)))
(*.f64 #s(literal 4 binary64) (fabs.f64 (fabs.f64 (*.f64 z y))))
(*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 z y) #s(literal 1 binary64)))
(*.f64 #s(literal 4 binary64) (fabs.f64 (*.f64 z y)))
(*.f64 #s(literal 4 binary64) (*.f64 z y))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64))
(neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(sqrt.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(fabs.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y))))
(+.f64 (cosh.f64 (log.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)))) (sinh.f64 (log.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)))))
(*.f64 z #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) z)
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
(*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64))
(*.f64 (*.f64 z (neg.f64 y)) #s(literal 4 binary64))
(*.f64 (*.f64 (neg.f64 y) z) #s(literal 4 binary64))
(*.f64 (neg.f64 (*.f64 z y)) #s(literal 4 binary64))
(*.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y))
(*.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 (*.f64 z y) #s(literal -4 binary64))
(*.f64 (*.f64 z #s(literal 4 binary64)) (neg.f64 y))
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 #s(literal -4 binary64) (*.f64 z y))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 (*.f64 #s(literal 4 binary64) y) (neg.f64 z))
(*.f64 #s(literal 4 binary64) (*.f64 (neg.f64 y) z))
(*.f64 #s(literal 4 binary64) (neg.f64 (*.f64 z y)))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(neg.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(*.f64 z y)
(*.f64 y z)

eval31.0ms (0.9%)

Memory
-9.6MiB live, 49.2MiB allocated
Compiler

Compiled 1 781 to 342 computations (80.8% saved)

prune13.0ms (0.4%)

Memory
-23.3MiB live, 21.9MiB allocated
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1080108
Fresh000
Picked033
Done011
Total1084112
Accuracy
100.0%
Counts
112 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
48.7%
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
2.2%
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z #s(literal 4 binary64)) y))
48.7%
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
Compiler

Compiled 110 to 64 computations (41.8% saved)

regimes14.0ms (0.4%)

Memory
32.5MiB live, 32.5MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z #s(literal 4 binary64)) y))
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Outputs
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
Calls

6 calls:

2.0ms
(*.f64 y #s(literal 4 binary64))
2.0ms
z
2.0ms
y
2.0ms
x
2.0ms
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Results
AccuracySegmentsBranch
100.0%1(*.f64 y #s(literal 4 binary64))
100.0%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
100.0%1(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
100.0%1x
100.0%1y
100.0%1z
Compiler

Compiled 18 to 27 computations (-50% saved)

regimes15.0ms (0.4%)

Memory
-23.1MiB live, 22.6MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z #s(literal 4 binary64)) y))
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
Outputs
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
Calls

6 calls:

2.0ms
z
2.0ms
(*.f64 y #s(literal 4 binary64))
2.0ms
y
2.0ms
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
2.0ms
x
Results
AccuracySegmentsBranch
48.7%1(*.f64 y #s(literal 4 binary64))
48.7%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
48.7%1(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
48.7%1x
48.7%1y
48.7%1z
Compiler

Compiled 18 to 27 computations (-50% saved)

regimes6.0ms (0.2%)

Memory
15.2MiB live, 15.2MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

6 calls:

1.0ms
z
1.0ms
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
1.0ms
(*.f64 y #s(literal 4 binary64))
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
48.7%1(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
48.7%1x
48.7%1(*.f64 y #s(literal 4 binary64))
48.7%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
48.7%1y
48.7%1z
Compiler

Compiled 18 to 27 computations (-50% saved)

simplify29.0ms (0.8%)

Memory
-28.1MiB live, 17.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01532
12232
24632
39632
416932
520332
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))
Outputs
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) y) z))

soundness834.0ms (23.3%)

Memory
34.7MiB live, 359.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03870
19470
225470
387770
4272970
5481770
6561070
7608670
8772470
0819262
0715
01015
13015
220015
3205315
0890214
01227
01527
15026
237126
3403326
0890426
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 68 to 48 computations (29.4% saved)

preprocess23.0ms (0.7%)

Memory
2.0MiB live, 46.9MiB allocated
Remove

(sort y z)

Compiler

Compiled 90 to 56 computations (37.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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