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

Time bar (total: 3.2s)

start0.0ms (0%)

Memory
0.1MiB 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)

sample1.0s (31.5%)

Memory
6.0MiB live, 729.7MiB allocated
Samples
687.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 384.0ms
ival-mult: 293.0ms (76.4% of total)
ival-sub: 76.0ms (19.8% of total)
ival-true: 6.0ms (1.6% of total)
exact: 5.0ms (1.3% of total)
ival-assert: 4.0ms (1% of total)
Bogosity

explain222.0ms (6.9%)

Memory
-19.1MiB live, 59.3MiB 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
99.0ms512×0valid
Compiler

Compiled 68 to 32 computations (52.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 7.0ms (71.1% of total)
ival-sub: 2.0ms (20.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess46.0ms (1.4%)

Memory
25.0MiB live, 25.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02669
19266
224963
356963
495263
5104863
6106563
7106563
8106563
077
0107
1197
2497
3997
41317
51707
62217
72667
83567
94097
104397
04396
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
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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)

simplify19.0ms (0.6%)

Memory
-24.6MiB live, 13.8MiB 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
726619
835619
940919
1043919
043918
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

localize17.0ms (0.5%)

Memory
26.8MiB live, 26.8MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
accuracy0.0
(*.f64 (*.f64 y #s(literal 4 binary64)) z)
accuracy0.0
(*.f64 y #s(literal 4 binary64))
Samples
12.0ms256×0valid
Compiler

Compiled 40 to 16 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (61.1% of total)
ival-sub: 1.0ms (20.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series26.0ms (0.8%)

Memory
-34.0MiB live, 9.7MiB 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
20.0ms
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))

simplify278.0ms (8.6%)

Memory
-3.0MiB live, 165.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03870
110570
228670
391870
4265470
5472070
6573770
7611570
8632970
9643970
10648170
0854962
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)

rewrite332.0ms (10.3%)

Memory
29.9MiB live, 260.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
01015
13215
221915
3211815
0834414
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))

eval34.0ms (1%)

Memory
-8.5MiB live, 30.5MiB allocated
Compiler

Compiled 8 190 to 642 computations (92.2% saved)

prune3.0ms (0.1%)

Memory
8.9MiB live, 8.9MiB 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 z y) #s(literal -4 binary64) x)
53.9%
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify14.0ms (0.4%)

Memory
5.4MiB live, 5.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z y)
cost-diff0
(fma.f64 (*.f64 z y) #s(literal -4 binary64) 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
01237
01537
12936
26036
39936
413336
517236
622336
726836
835936
941236
1044236
044236
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 z y) #s(literal -4 binary64) x)
(*.f64 z y)
z
y
#s(literal -4 binary64)
x
Outputs
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
#s(approx (- x (* (* y 4) z)) (*.f64 #s(literal -4 binary64) (*.f64 z y)))
(*.f64 (*.f64 z y) #s(literal -4 binary64))
(*.f64 #s(literal -4 binary64) (*.f64 z y))
(*.f64 z y)
z
y
#s(literal -4 binary64)
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(*.f64 z y)
z
y
#s(literal -4 binary64)
x

localize42.0ms (1.3%)

Memory
-25.9MiB live, 18.3MiB allocated
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
accuracy0.0
(*.f64 z y)
accuracy0.0
(*.f64 (*.f64 z y) #s(literal -4 binary64))
accuracy0.0
(*.f64 z y)
accuracy29.479463405569444
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
Samples
35.0ms256×0valid
Compiler

Compiled 71 to 25 computations (64.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 23.0ms (90.2% of total)
ival-sub: 1.0ms (3.9% of total)
ival-add: 1.0ms (3.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
4.0MiB live, 4.0MiB allocated
Counts
4 → 15
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 z y) #s(literal -4 binary64) 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)))
(* 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))))
(* 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
@-inf
((- x (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* (* z y) -4) x))
1.0ms
z
@-inf
((- x (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* (* z y) -4) x))
0.0ms
y
@inf
((- x (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* (* z y) -4) x))
0.0ms
z
@inf
((- x (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* (* z y) -4) x))
0.0ms
z
@0
((- x (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* (* z y) -4) x))

simplify126.0ms (3.9%)

Memory
4.9MiB live, 73.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04893
114393
239793
3103793
4274893
5573993
6790293
0823081
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)))
(* 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))))
(* 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)
(* y z)
(*.f64 z 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)

rewrite197.0ms (6.1%)

Memory
16.0MiB live, 134.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01227
01527
15226
237126
3429726
0902226
Stop Event
iter limit
node limit
iter limit
Counts
4 → 244
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 z y) #s(literal -4 binary64) x)
Outputs
#s(approx (- x (* (* y 4) z)) (*.f64 #s(literal -4 binary64) (*.f64 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 (*.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 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 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 (*.f64 #s(literal -4 binary64) z) y)
(*.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 #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 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))
(pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) #s(literal 1 binary64))
(/.f64 (neg.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 z (*.f64 #s(literal 4 binary64) y))))
(/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) #s(literal 3 binary64)) (neg.f64 (+.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)))))))
(/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 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))))))
(/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) #s(literal 2 binary64)) (neg.f64 (+.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 #s(literal -4 binary64) (*.f64 z y))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y))))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -4 binary64) (*.f64 z y)))
(*.f64 z y)
(*.f64 y z)
(*.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 #s(literal -4 binary64) (*.f64 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 #s(literal -4 binary64) (*.f64 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 #s(literal -4 binary64) (*.f64 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 #s(literal -4 binary64) (*.f64 z y)) #s(literal 2 binary64))))))
(*.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) z) y 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 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 x (fma.f64 (*.f64 #s(literal -4 binary64) z) y 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 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) (fma.f64 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (neg.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 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) z) y 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) z) y 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) z) y 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 #s(literal 16 binary64) (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)) (/.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) z) y 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) z) y 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) z) y x) (/.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)))
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y x) (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 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) z) y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 z y) #s(literal 4 binary64) x) #s(literal -1 binary64)))) (neg.f64 (+.f64 (fma.f64 #s(literal 256 binary64) (pow.f64 (*.f64 z y) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 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)))) (neg.f64 (fma.f64 x x (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 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)))) (neg.f64 (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))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) #s(literal 6 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 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 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 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
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(fma.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) z) (/.f64 (*.f64 #s(literal 4 binary64) y) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) x)))))
(fma.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 (neg.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) x)))))
(fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal -16 binary64) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) x)))))
(fma.f64 (*.f64 z z) (/.f64 (neg.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64))) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 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 #s(literal -4 binary64) (*.f64 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 #s(literal -4 binary64) (*.f64 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 #s(literal -4 binary64) (*.f64 z y)) #s(literal 2 binary64)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))))
(fma.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 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 #s(literal -4 binary64) (*.f64 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 #s(literal -4 binary64) (*.f64 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 #s(literal -4 binary64) (*.f64 z y)) (/.f64 (*.f64 z (*.f64 #s(literal 4 binary64) y)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) x)))))
(fma.f64 #s(literal -4 binary64) (/.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal -4 binary64))) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) x)))))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) x)
(fma.f64 (*.f64 z y) (/.f64 (neg.f64 (*.f64 #s(literal 16 binary64) (*.f64 z y))) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 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 (neg.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal 16 binary64)) z)) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 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 y (neg.f64 z)) x)
(fma.f64 #s(literal 4 binary64) (*.f64 (neg.f64 y) z) x)
(fma.f64 #s(literal 4 binary64) (neg.f64 (*.f64 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 #s(literal -4 binary64) (*.f64 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 #s(literal -4 binary64) (*.f64 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 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal -16 binary64) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))) (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) x))))
(-.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))) (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 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 #s(literal -4 binary64) (*.f64 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 x (*.f64 z (*.f64 #s(literal 4 binary64) y)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal -16 binary64) (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 z y)) x)))))
(+.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 z y) #s(literal 4 binary64) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 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 #s(literal -4 binary64) (*.f64 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 #s(literal -4 binary64) (*.f64 z y)) x)
(+.f64 x (*.f64 #s(literal -4 binary64) (*.f64 z y)))

eval27.0ms (0.8%)

Memory
11.3MiB live, 48.4MiB allocated
Compiler

Compiled 7 932 to 734 computations (90.7% saved)

prune10.0ms (0.3%)

Memory
-15.2MiB live, 22.0MiB allocated
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2510251
Fresh000
Picked022
Done000
Total2512253
Accuracy
100.0%
Counts
253 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
53.9%
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
Compiler

Compiled 45 to 33 computations (26.7% saved)

regimes10.0ms (0.3%)

Memory
22.3MiB live, 22.3MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
Outputs
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
Calls

6 calls:

2.0ms
(*.f64 y #s(literal 4 binary64))
2.0ms
(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
2.0ms
x
2.0ms
z
2.0ms
y
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)

regimes68.0ms (2.1%)

Memory
-34.9MiB live, 59.2MiB 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 z y) #s(literal -4 binary64)))
Outputs
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
Calls

6 calls:

62.0ms
(*.f64 (*.f64 y #s(literal 4 binary64)) 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
53.9%1x
53.9%1y
53.9%1z
53.9%1(-.f64 x (*.f64 (*.f64 y #s(literal 4 binary64)) z))
53.9%1(*.f64 (*.f64 y #s(literal 4 binary64)) z)
53.9%1(*.f64 y #s(literal 4 binary64))
Compiler

Compiled 18 to 27 computations (-50% saved)

simplify76.0ms (2.4%)

Memory
-10.9MiB live, 65.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01219
12119
25019
310119
414419
519619
633219
7467119
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))
Outputs
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
#s(approx (- x (* (* y 4) z)) (*.f64 (*.f64 z y) #s(literal -4 binary64)))

soundness640.0ms (19.8%)

Memory
7.5MiB live, 279.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
01015
13215
221915
3211815
0834414
03870
110570
228670
391870
4265470
5472070
6573770
7611570
8632970
9643970
10648170
0854962
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 37 to 28 computations (24.3% saved)

preprocess18.0ms (0.5%)

Memory
13.1MiB live, 52.2MiB allocated
Remove

(sort y z)

Compiler

Compiled 64 to 50 computations (21.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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