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

Time bar (total: 2.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.1MiB live, 0.1MiB 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)

sample504.0ms (22%)

Memory
195.5MiB live, 195.5MiB allocated
Samples
302.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 147.0ms
ival-mult: 98.0ms (66.8% of total)
ival-sub: 35.0ms (23.9% of total)
ival-true: 6.0ms (4.1% of total)
exact: 4.0ms (2.7% of total)
ival-assert: 3.0ms (2% of total)
Bogosity

explain77.0ms (3.3%)

Memory
41.1MiB live, 41.1MiB 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
23.0ms512×0valid
Compiler

Compiled 87 to 45 computations (48.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (62.9% of total)
ival-sub: 2.0ms (21% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess44.0ms (1.9%)

Memory
7.2MiB live, 7.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02669
19266
224163
355963
490463
599863
6101263
7101263
8101263
077
0107
1197
2497
3997
41317
51707
62217
72637
83487
94007
104307
04306
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
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Compiler

Compiled 7 to 7 computations (0% saved)

simplify12.0ms (0.5%)

Memory
1.4MiB live, 1.4MiB 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-diff128
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
01019
11919
24919
39919
413119
517019
622119
726319
834819
940019
1043019
043018
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

localize16.0ms (0.7%)

Memory
7.0MiB live, 7.0MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
accuracy0
(*.f64 y #s(literal 4 binary64))
accuracy0.01171875
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Samples
11.0ms256×0valid
Compiler

Compiled 40 to 16 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (65.7% of total)
ival-sub: 1.0ms (21.9% 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
2.5MiB live, 2.5MiB 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))
0.0ms
z
@0
((- x (* (* y 4) z)) (* (* y 4) z) (* y 4))

simplify172.0ms (7.5%)

Memory
34.9MiB live, 34.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03870
110570
226270
389370
4256470
5447170
6548570
7586770
8608170
9619170
10623370
0829562
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 z y) #s(literal -4 binary64))
(- x (* 4 (* y z)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) 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 z y) #s(literal -4 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(* z (- (/ x z) (* 4 y)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)

rewrite150.0ms (6.5%)

Memory
59.2MiB live, 59.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
01015
13215
221915
3211815
0834014
Stop Event
iter limit
node limit
iter limit
Counts
3 → 207
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 (pow.f64 (/.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 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.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 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.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 z y) #s(literal -4 binary64)) (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 y) #s(literal -4 binary64) 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 (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))))
(*.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 -1 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z y) #s(literal -4 binary64) x))
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.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 -1 binary64)))
(*.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) (/.f64 (fma.f64 (*.f64 z y) #s(literal -4 binary64) x) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)))
(*.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) (*.f64 (fma.f64 (*.f64 z y) #s(literal -4 binary64) x) (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) #s(literal -1 binary64))))
(*.f64 (-.f64 (*.f64 x x) (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 -1 binary64)))
(*.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 y) #s(literal -4 binary64) 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 (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) #s(literal -4 binary64) x) (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 -1 binary64))))
(*.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (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 -1 binary64)))
(pow.f64 (pow.f64 (fma.f64 (*.f64 z y) #s(literal -4 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64))) (fma.f64 (+.f64 x #s(literal 0 binary64)) (+.f64 x #s(literal 0 binary64)) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 z (*.f64 #s(literal 4 binary64) y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) x) (-.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) x) (*.f64 #s(literal 0 binary64) (-.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) x)))))
(/.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))) (pow.f64 (neg.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 3 binary64))) (+.f64 (pow.f64 (*.f64 x (/.f64 x (fma.f64 z (*.f64 #s(literal 4 binary64) y) x))) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.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))) (neg.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)))) (*.f64 (*.f64 x (/.f64 x (fma.f64 z (*.f64 #s(literal 4 binary64) y) x))) (neg.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)))))))
(/.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 (neg.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 (*.f64 (neg.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)))) (neg.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))))) (*.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))) (neg.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))))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.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 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 4 binary64))) (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))))
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(-.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)) (+.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 (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 (*.f64 (*.f64 x x) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64))) (/.f64 (*.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))) (pow.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64))))
(-.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))) (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 (*.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))) (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 (/.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) (fma.f64 x x (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 4 binary64)) (*.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) (fma.f64 x x (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) (+.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64)) (*.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x) (+.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x)) (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 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 z y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x)) (fma.f64 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (*.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 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 9 binary64)) (*.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 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x))) (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) (neg.f64 (fma.f64 z (*.f64 #s(literal 4 binary64) y) x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (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 z (*.f64 #s(literal 4 binary64) y)) #s(literal 4 binary64)) (fma.f64 x x (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 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (/.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64)) (+.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 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 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 #s(literal -4 binary64) y)) z)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 6 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 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 #s(literal -4 binary64) y)) z)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 #s(literal -4 binary64) y)) z)))) (/.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 9 binary64)) (+.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64))) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 #s(literal -4 binary64) y)) z)))))
(-.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 (*.f64 x x) (*.f64 (*.f64 x (*.f64 #s(literal -4 binary64) y)) z)))) (/.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 (*.f64 x x) (*.f64 (*.f64 x (*.f64 #s(literal -4 binary64) y)) z)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 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 y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x))) (/.f64 (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 6 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 y) (*.f64 #s(literal 4 binary64) (fma.f64 z (*.f64 #s(literal 4 binary64) y) x)) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64))) (pow.f64 x #s(literal 6 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 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 9 binary64)) (+.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 z x) y) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64))) (pow.f64 x #s(literal 6 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 #s(literal 0 binary64) (neg.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 #s(literal -64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.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 (+.f64 x #s(literal 0 binary64)) (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) x))
(-.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 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 x (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 z y) #s(literal -4 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 x (/.f64 x (fma.f64 z (*.f64 #s(literal 4 binary64) y) x))) (neg.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))))
(+.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))) (neg.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)))))
(+.f64 (*.f64 (*.f64 z y) #s(literal -4 binary64)) x)
(+.f64 x (*.f64 (*.f64 z y) #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 #s(literal 4 binary64))) (exp.f64 (log.f64 (*.f64 z 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 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) y))))
(*.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 (*.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) (pow.f64 (*.f64 z y) #s(literal 1 binary64)))
(*.f64 #s(literal 4 binary64) (*.f64 z y))
(*.f64 y (*.f64 z #s(literal 4 binary64)))
(pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 1 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 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))

eval19.0ms (0.8%)

Memory
17.5MiB live, 17.5MiB allocated
Compiler

Compiled 8 190 to 642 computations (92.2% saved)

prune3.0ms (0.1%)

Memory
7.9MiB live, 7.9MiB allocated
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New2092211
Fresh000
Picked101
Done000
Total2102212
Accuracy
100.0%
Counts
212 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
53.3%
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify12.0ms (0.5%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 5 expressions of interest:

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01337
01837
13536
26236
310136
413436
517336
622436
726836
835336
940536
1043536
043536
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#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)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y
x
Outputs
#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)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(*.f64 #s(literal -4 binary64) z)
#s(literal -4 binary64)
z
y
x

localize26.0ms (1.1%)

Memory
11.7MiB live, 11.7MiB allocated
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
accuracy0
(*.f64 #s(literal -4 binary64) z)
accuracy0
(*.f64 z y)
accuracy0.012382519536884034
(*.f64 (*.f64 z y) #s(literal -4 binary64))
accuracy29.88652298440209
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
Samples
19.0ms256×0valid
Compiler

Compiled 71 to 28 computations (60.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 8.0ms (71.6% of total)
ival-sub: 1.0ms (8.9% of total)
ival-add: 1.0ms (8.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.2%)

Memory
3.1MiB live, 3.1MiB allocated
Counts
5 → 16
Calls
Call 1
Inputs
#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)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(*.f64 #s(literal -4 binary64) z)
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)))
(* y z)
(* y (- (/ x y) (* 4 z)))
(* y (+ (* -4 z) (/ x y)))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(* -1 (* y (+ (* -1 (/ x y)) (* 4 z))))
(* -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
z
@-inf
((- x (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* (* -4 z) y) x) (* -4 z))
1.0ms
z
@0
((- x (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* (* -4 z) y) x) (* -4 z))
1.0ms
y
@-inf
((- x (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* (* -4 z) y) x) (* -4 z))
1.0ms
z
@inf
((- x (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* (* -4 z) y) x) (* -4 z))
0.0ms
y
@inf
((- x (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* (* -4 z) y) x) (* -4 z))

simplify71.0ms (3.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
04896
114396
236996
3101196
4267596
5545096
6756696
0808284
Stop Event
iter limit
node limit
Counts
16 → 15
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)))
(* y z)
(* y (- (/ x y) (* 4 z)))
(* y (+ (* -4 z) (/ x y)))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(* -1 (* y (+ (* -1 (/ x y)) (* 4 z))))
(* -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 z y) #s(literal -4 binary64) x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(* y z)
(*.f64 z y)
(* y (- (/ x y) (* 4 z)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(* y (+ (* -4 z) (/ x y)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(* -1 (* y (+ (* -1 (/ x y)) (* 4 z))))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* z (- (/ x z) (* 4 y)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(* z (+ (* -4 y) (/ x z)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(* -1 (* z (+ (* -1 (/ x z)) (* 4 y))))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)

rewrite122.0ms (5.3%)

Memory
43.8MiB live, 43.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01330
01830
15829
239229
3446429
0822129
Stop Event
iter limit
node limit
iter limit
Counts
5 → 195
Calls
Call 1
Inputs
#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)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(*.f64 #s(literal -4 binary64) z)
Outputs
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
(*.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 (*.f64 z #s(literal 4 binary64)))))
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(*.f64 (exp.f64 (log.f64 (neg.f64 z))) (exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) y))))
(*.f64 (exp.f64 (log.f64 #s(literal -4 binary64))) (exp.f64 (log.f64 (*.f64 z y))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (*.f64 #s(literal -4 binary64) z))))
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 4 binary64) y))) (exp.f64 (log.f64 (neg.f64 z))))
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal -4 binary64) z))) (exp.f64 (log.f64 y)))
(*.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 z)) (exp.f64 (log.f64 (*.f64 #s(literal -4 binary64) y))))
(*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64))
(*.f64 (*.f64 (neg.f64 y) z) #s(literal 4 binary64))
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 z y)) #s(literal 4 binary64))
(*.f64 (*.f64 z (neg.f64 y)) #s(literal 4 binary64))
(*.f64 (*.f64 z #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) y))
(*.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 #s(literal -1 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.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 (*.f64 z y) #s(literal -4 binary64))
(*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal -1 binary64))
(*.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) (*.f64 y (neg.f64 z)))
(*.f64 #s(literal 4 binary64) (neg.f64 (*.f64 z y)))
(*.f64 y (*.f64 #s(literal -4 binary64) z))
(pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 1 binary64))
(/.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y))))
(/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y))))))
(neg.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y)))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
(*.f64 z y)
(*.f64 y z)
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))) (neg.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 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (*.f64 #s(literal -4 binary64) y) z 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))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))) #s(literal 2 binary64)))) (fma.f64 x x (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) (fma.f64 (*.f64 z y) #s(literal 4 binary64) 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 (*.f64 z y) #s(literal 4 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))) (-.f64 (*.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.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 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) 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 (pow.f64 (*.f64 z y) #s(literal 6 binary64)) #s(literal 4096 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x) #s(literal 3 binary64)))) (fma.f64 #s(literal 256 binary64) (pow.f64 (*.f64 z y) #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x) (-.f64 (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))))))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal -4 binary64) y) z x))
(*.f64 (/.f64 (fma.f64 x x (*.f64 #s(literal -16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (fma.f64 x x (*.f64 #s(literal -16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal -4 binary64) y) z x))
(*.f64 (/.f64 (fma.f64 x x (*.f64 #s(literal -16 binary64) (pow.f64 (*.f64 z 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 (pow.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) #s(literal -1 binary64)) (fma.f64 x x (*.f64 #s(literal -16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x)) #s(literal -1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) y) z x))
(*.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) z x) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)))
(*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) z x) (pow.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) #s(literal -1 binary64))))
(*.f64 (fma.f64 x x (*.f64 #s(literal -16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) #s(literal -1 binary64)))
(*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)))
(*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x)) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) z x) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))))
(*.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x)) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) z x) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x)) #s(literal -1 binary64))))
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) z x) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x) (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x)))
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) z x) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) z x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) z x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x))
(/.f64 (-.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64))) (neg.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))))
(/.f64 (-.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))) (*.f64 (neg.f64 x) x)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) #s(literal -1 binary64))) (+.f64 (fma.f64 #s(literal 256 binary64) (pow.f64 (*.f64 z y) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))) (fma.f64 x x (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))) (fma.f64 #s(literal 256 binary64) (pow.f64 (*.f64 z y) #s(literal 4 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 (*.f64 z y) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))))
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(fma.f64 (exp.f64 (log.f64 (*.f64 #s(literal -4 binary64) z))) (exp.f64 (log.f64 y)) x)
(fma.f64 (exp.f64 (log.f64 (*.f64 #s(literal -4 binary64) y))) (exp.f64 (log.f64 z)) x)
(fma.f64 (exp.f64 (log.f64 (*.f64 z y))) (exp.f64 (log.f64 #s(literal -4 binary64))) x)
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (*.f64 #s(literal -4 binary64) y))) x)
(fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (neg.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 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (*.f64 #s(literal -4 binary64) y) z x))) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x)))))
(fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal -4 binary64) y) z x) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))) #s(literal 2 binary64)))) (fma.f64 x x (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 (*.f64 z y) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))) (-.f64 (*.f64 (*.f64 z #s(literal 4 binary64)) (*.f64 y (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x)))))
(fma.f64 (/.f64 (*.f64 x x) (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)) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x (*.f64 #s(literal -16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal -4 binary64) y) z x) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))))
(fma.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64) x)
(fma.f64 (*.f64 (neg.f64 y) z) #s(literal 4 binary64) x)
(fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 z y)) #s(literal 4 binary64) x)
(fma.f64 (*.f64 z (neg.f64 y)) #s(literal 4 binary64) x)
(fma.f64 (*.f64 z #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) y) x)
(fma.f64 (neg.f64 (*.f64 z y)) #s(literal 4 binary64) x)
(fma.f64 (*.f64 #s(literal 16 binary64) (*.f64 z z)) (/.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x)))))
(fma.f64 (*.f64 y y) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 z z)) (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x)))))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) y) (/.f64 (*.f64 #s(literal -4 binary64) z) (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x)))))
(fma.f64 (*.f64 #s(literal 16 binary64) (*.f64 z y)) (/.f64 (*.f64 z y) (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x)))))
(fma.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 z z)) y) (/.f64 y (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x)))))
(fma.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal -4 binary64)) (/.f64 #s(literal -4 binary64) (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x)))))
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) z) (/.f64 (*.f64 #s(literal -4 binary64) y) (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x)))))
(fma.f64 (neg.f64 z) (*.f64 #s(literal 4 binary64) y) x)
(fma.f64 (neg.f64 y) (*.f64 z #s(literal 4 binary64)) x)
(fma.f64 #s(literal 16 binary64) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x)))))
(fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x)))))
(fma.f64 (*.f64 z z) (/.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x)))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x)))))
(fma.f64 #s(literal -1 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y)) x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(fma.f64 (*.f64 z #s(literal 4 binary64)) (neg.f64 y) x)
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x)))))
(fma.f64 (*.f64 x x) (pow.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))))
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x)))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x)))))
(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x)))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) y) (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x)))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal -4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x)))))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) x)
(fma.f64 (*.f64 z y) (/.f64 (*.f64 #s(literal 16 binary64) (*.f64 z y)) (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x)))))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(fma.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal -1 binary64) x)
(fma.f64 z (/.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) z) (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x)))))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) x)
(fma.f64 (*.f64 #s(literal 4 binary64) y) (neg.f64 z) x)
(fma.f64 #s(literal 4 binary64) (*.f64 (neg.f64 y) z) x)
(fma.f64 #s(literal 4 binary64) (*.f64 y (neg.f64 z)) x)
(fma.f64 #s(literal 4 binary64) (neg.f64 (*.f64 z y)) x)
(fma.f64 y (/.f64 (*.f64 (*.f64 #s(literal 16 binary64) (*.f64 z z)) y) (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x)))))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x)))))
(fma.f64 x (/.f64 x (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))))
(-.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) x))
(-.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))))
(-.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x))) (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x))))
(-.f64 x (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) y) z x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 2 binary64)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) #s(literal 3 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) x)))))
(+.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x))) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x)))))
(+.f64 (*.f64 (*.f64 #s(literal -4 binary64) z) y) x)
(+.f64 x (*.f64 (*.f64 #s(literal -4 binary64) z) y))
(*.f64 (neg.f64 z) #s(literal 4 binary64))
(*.f64 #s(literal -1 binary64) (*.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)))
(-.f64 #s(literal 0 binary64) (*.f64 z #s(literal 4 binary64)))

eval18.0ms (0.8%)

Memory
15.9MiB live, 15.9MiB allocated
Compiler

Compiled 4 970 to 542 computations (89.1% saved)

prune6.0ms (0.2%)

Memory
9.0MiB live, 9.0MiB allocated
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1991200
Fresh000
Picked022
Done000
Total1993202
Accuracy
100.0%
Counts
202 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
53.3%
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
53.3%
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
Compiler

Compiled 32 to 28 computations (12.5% saved)

simplify12.0ms (0.5%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
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
01124
01324
12624
25824
39724
413024
516924
622024
726424
835024
940224
1043224
043223
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
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

localize19.0ms (0.8%)

Memory
8.5MiB live, 8.5MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
accuracy0
(*.f64 #s(literal -4 binary64) z)
accuracy29.88652298440209
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
Samples
14.0ms256×0valid
Compiler

Compiled 44 to 23 computations (47.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 6.0ms (81.6% of total)
ival-sub: 1.0ms (13.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
2.4MiB live, 2.4MiB allocated
Counts
3 → 11
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)
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)))
(* y (- (/ x y) (* 4 z)))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(* -4 z)
(* z (- (/ x z) (* 4 y)))
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
Calls

9 calls:

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

simplify162.0ms (7.1%)

Memory
34.8MiB live, 34.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03865
110565
226265
389265
4256065
5447365
6548765
7586265
8607665
9618865
10623065
0829457
Stop Event
iter limit
node limit
Counts
11 → 10
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)))
(* y (- (/ x y) (* 4 z)))
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(* -4 z)
(* z (- (/ 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 z y) #s(literal -4 binary64) x)
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(* y (- (/ x y) (* 4 z)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* z (- (/ x z) (* 4 y)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)

rewrite135.0ms (5.9%)

Memory
49.2MiB live, 49.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01121
01321
13921
222821
3213121
0845320
Stop Event
iter limit
node limit
iter limit
Counts
3 → 42
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)
Outputs
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
(*.f64 (*.f64 (neg.f64 z) y) #s(literal 4 binary64))
(*.f64 (*.f64 (neg.f64 y) z) #s(literal 4 binary64))
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 z y)) #s(literal 4 binary64))
(*.f64 (*.f64 z (neg.f64 y)) #s(literal 4 binary64))
(*.f64 (*.f64 z #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) y))
(*.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 #s(literal -1 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(*.f64 (*.f64 z y) #s(literal -4 binary64))
(*.f64 (*.f64 z #s(literal 4 binary64)) (neg.f64 y))
(*.f64 (*.f64 #s(literal -4 binary64) y) z)
(*.f64 (*.f64 #s(literal -4 binary64) z) y)
(*.f64 #s(literal -4 binary64) (*.f64 z y))
(*.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal -1 binary64))
(*.f64 z (*.f64 #s(literal -4 binary64) y))
(*.f64 (*.f64 #s(literal 4 binary64) y) (neg.f64 z))
(*.f64 #s(literal 4 binary64) (*.f64 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))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -4 binary64) z) y)))))
(/.f64 (neg.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y))) (neg.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y))))) (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64))))
(/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (neg.f64 (+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y)))))
(/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y)))))))
(/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y))))))
(neg.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y)))) (/.f64 (pow.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y)))))) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
(-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(+.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
(*.f64 (neg.f64 z) #s(literal 4 binary64))
(*.f64 #s(literal -1 binary64) (*.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))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z #s(literal 4 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 16 binary64) (*.f64 z z) (*.f64 #s(literal 0 binary64) (*.f64 z #s(literal 4 binary64))))))
(neg.f64 (*.f64 z #s(literal 4 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 z #s(literal 4 binary64)))

eval4.0ms (0.2%)

Memory
4.0MiB live, 4.0MiB allocated
Compiler

Compiled 794 to 149 computations (81.2% saved)

prune4.0ms (0.2%)

Memory
3.8MiB live, 3.8MiB allocated
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New45045
Fresh000
Picked011
Done022
Total45348
Accuracy
100.0%
Counts
48 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
53.3%
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
53.3%
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
Compiler

Compiled 71 to 47 computations (33.8% saved)

regimes12.0ms (0.5%)

Memory
10.1MiB live, 10.1MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Outputs
(fma.f64 (*.f64 #s(literal -4 binary64) z) y 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%1x
100.0%1y
100.0%1z
100.0%1(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
100.0%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
100.0%1(*.f64 y #s(literal 4 binary64))
Compiler

Compiled 18 to 27 computations (-50% saved)

regimes9.0ms (0.4%)

Memory
9.3MiB live, 9.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) 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:

1.0ms
(*.f64 y #s(literal 4 binary64))
1.0ms
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
1.0ms
z
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
53.3%1x
53.3%1y
53.3%1z
53.3%1(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
53.3%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
53.3%1(*.f64 y #s(literal 4 binary64))
Compiler

Compiled 18 to 27 computations (-50% saved)

simplify19.0ms (0.8%)

Memory
18.4MiB live, 18.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01219
11419
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
Outputs
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y))
#s(approx (- x (* (* y 4) z)) (*.f64 y (*.f64 z #s(literal -4 binary64))))

soundness633.0ms (27.6%)

Memory
1.8MiB live, 1.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01330
01830
15829
239229
3446429
0822129
0715
01015
13215
221915
3211815
0834014
03870
110570
226270
389370
4256470
5447170
6548570
7586770
8608170
9619170
10623370
0829562
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 50 to 39 computations (22% saved)

preprocess21.0ms (0.9%)

Memory
13.2MiB live, 13.2MiB allocated
Remove

(sort y z)

Compiler

Compiled 88 to 74 computations (15.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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