Expression, p6

Time bar (total: 6.4s)

analyze0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
100%0%0%100%0%0%0%1
Compiler

Compiled 41 to 33 computations (19.5% saved)

sample1.2s (19.6%)

Memory
26.8MiB live, 2 498.3MiB allocated
Samples
718.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 464.0ms
ival-<=: 183.0ms (39.4% of total)
ival-add: 157.0ms (33.8% of total)
ival-mult: 56.0ms (12.1% of total)
ival-and: 36.0ms (7.8% of total)
exact: 29.0ms (6.2% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

preprocess250.0ms (3.9%)

Memory
2.2MiB live, 39.4MiB allocated
Algorithm
egg-herbie
Rules
1 512×distribute-rgt-in
1 442×unsub-neg
1 426×distribute-lft-in
1 278×associate--r+
940×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051132
1150126
2449126
32011126
45325126
56447126
66863126
77028126
87070126
97075126
107130126
117138126
127138126
137138126
147530126
157530126
167530126
099
0139
1219
2579
31599
42869
52879
02879
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
Outputs
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
(*.f64 (+.f64 b (+.f64 a (+.f64 c d))) #s(literal 2 binary64))
Symmetry

(sort a b c d)

explain102.0ms (1.6%)

Memory
10.0MiB live, 165.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
6914(-13.718157875124037 -2.725893096185777 3.342210382734825 12.96776415770517)37(-13.51189686838861 -2.9278441972564515 3.39446416393502 12.85328815996669)(+.f64 a (+.f64 b (+.f64 c d)))
00-0-a
00-0-d
00-0-(+.f64 c d)
00-0-(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
00-0-(+.f64 b (+.f64 c d))
00-0-c
00-0-#s(literal 2 binary64)
00-0-b
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 a (+.f64 b (+.f64 c d)))cancellation4673
Confusion
Predicted +Predicted -
+3977
-7133
Precision
0.8478260869565217
Recall
0.33620689655172414
Confusion?
Predicted +Predicted MaybePredicted -
+394631
-727106
Precision?
0.7142857142857143
Recall?
0.7327586206896551
Freqs
test
numberfreq
0210
146
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
45.0ms512×0valid
Compiler

Compiled 88 to 40 computations (54.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-add: 7.0ms (65.5% of total)
ival-mult: 3.0ms (28.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.4%
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify14.0ms (0.2%)

Memory
-18.1MiB live, 17.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 c d)
cost-diff0
(+.f64 b (+.f64 c d))
cost-diff0
(+.f64 a (+.f64 b (+.f64 c d)))
cost-diff0
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
Rules
200×lower-fma.f64
200×lower-fma.f32
200×lower-+.f32
194×lower-+.f64
104×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
01329
12129
25729
315929
428629
528729
028729
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
(+.f64 a (+.f64 b (+.f64 c d)))
a
(+.f64 b (+.f64 c d))
b
(+.f64 c d)
c
d
#s(literal 2 binary64)
Outputs
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
(*.f64 (+.f64 b (+.f64 a (+.f64 c d))) #s(literal 2 binary64))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 b (+.f64 a (+.f64 c d)))
a
(+.f64 b (+.f64 c d))
b
(+.f64 c d)
c
d
#s(literal 2 binary64)

localize31.0ms (0.5%)

Memory
-34.4MiB live, 45.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 c d)
accuracy100.0%
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
accuracy99.3%
(+.f64 b (+.f64 c d))
accuracy95.9%
(+.f64 a (+.f64 b (+.f64 c d)))
Samples
14.0ms256×0valid
Compiler

Compiled 31 to 11 computations (64.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 3.0ms (56.9% of total)
ival-mult: 2.0ms (37.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
15.3MiB live, 15.3MiB allocated
Counts
4 → 156
Calls
Call 1
Inputs
#<alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))>
#<alt (+.f64 a (+.f64 b (+.f64 c d)))>
#<alt (+.f64 b (+.f64 c d))>
#<alt (+.f64 c d)>
Outputs
#<alt (* 2 (+ b (+ c d)))>
#<alt (+ (* 2 a) (* 2 (+ b (+ c d))))>
#<alt (+ (* 2 a) (* 2 (+ b (+ c d))))>
#<alt (+ (* 2 a) (* 2 (+ b (+ c d))))>
#<alt (* 2 a)>
#<alt (* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))>
#<alt (* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))>
#<alt (* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))>
#<alt (* 2 a)>
#<alt (* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))>
#<alt (* 2 (+ a (+ c d)))>
#<alt (+ (* 2 b) (* 2 (+ a (+ c d))))>
#<alt (+ (* 2 b) (* 2 (+ a (+ c d))))>
#<alt (+ (* 2 b) (* 2 (+ a (+ c d))))>
#<alt (* 2 b)>
#<alt (* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))>
#<alt (* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))>
#<alt (* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))>
#<alt (* 2 b)>
#<alt (* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))>
#<alt (* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))>
#<alt (* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))>
#<alt (* 2 (+ a (+ b d)))>
#<alt (+ (* 2 c) (* 2 (+ a (+ b d))))>
#<alt (+ (* 2 c) (* 2 (+ a (+ b d))))>
#<alt (+ (* 2 c) (* 2 (+ a (+ b d))))>
#<alt (* 2 c)>
#<alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))>
#<alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))>
#<alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))>
#<alt (* 2 c)>
#<alt (* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))>
#<alt (* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))>
#<alt (* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))>
#<alt (* 2 (+ a (+ b c)))>
#<alt (+ (* 2 d) (* 2 (+ a (+ b c))))>
#<alt (+ (* 2 d) (* 2 (+ a (+ b c))))>
#<alt (+ (* 2 d) (* 2 (+ a (+ b c))))>
#<alt (* 2 d)>
#<alt (* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))>
#<alt (* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))>
#<alt (* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))>
#<alt (* 2 d)>
#<alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))>
#<alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))>
#<alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))>
#<alt (+ b (+ c d))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt a>
#<alt (* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))>
#<alt (* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))>
#<alt (* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))>
#<alt (+ a (+ c d))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt b>
#<alt (* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))>
#<alt (* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))>
#<alt (* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))>
#<alt (+ a (+ b d))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt c>
#<alt (* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))>
#<alt (* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))>
#<alt (* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))>
#<alt (+ a (+ b c))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt d>
#<alt (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))>
#<alt (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))>
#<alt (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))>
#<alt d>
#<alt (* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))>
#<alt (+ c d)>
#<alt (+ b (+ c d))>
#<alt (+ b (+ c d))>
#<alt (+ b (+ c d))>
#<alt b>
#<alt (* b (+ 1 (+ (/ c b) (/ d b))))>
#<alt (* b (+ 1 (+ (/ c b) (/ d b))))>
#<alt (* b (+ 1 (+ (/ c b) (/ d b))))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))>
#<alt (+ b d)>
#<alt (+ b (+ c d))>
#<alt (+ b (+ c d))>
#<alt (+ b (+ c d))>
#<alt c>
#<alt (* c (+ 1 (+ (/ b c) (/ d c))))>
#<alt (* c (+ 1 (+ (/ b c) (/ d c))))>
#<alt (* c (+ 1 (+ (/ b c) (/ d c))))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))>
#<alt (+ b c)>
#<alt (+ b (+ c d))>
#<alt (+ b (+ c d))>
#<alt (+ b (+ c d))>
#<alt d>
#<alt (* d (+ 1 (+ (/ b d) (/ c d))))>
#<alt (* d (+ 1 (+ (/ b d) (/ c d))))>
#<alt (* d (+ 1 (+ (/ b d) (/ c d))))>
#<alt d>
#<alt (* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))>
#<alt d>
#<alt (+ c d)>
#<alt (+ c d)>
#<alt (+ c d)>
#<alt c>
#<alt (* c (+ 1 (/ d c)))>
#<alt (* c (+ 1 (/ d c)))>
#<alt (* c (+ 1 (/ d c)))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ d c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ d c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ d c)) 1)))>
#<alt c>
#<alt (+ c d)>
#<alt (+ c d)>
#<alt (+ c d)>
#<alt d>
#<alt (* d (+ 1 (/ c d)))>
#<alt (* d (+ 1 (/ c d)))>
#<alt (* d (+ 1 (/ c d)))>
#<alt d>
#<alt (* -1 (* d (- (* -1 (/ c d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ c d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ c d)) 1)))>
Calls

39 calls:

TimeVariablePointExpression
0.0ms
b
@-inf
(* (+ a (+ b (+ c d))) 2)
0.0ms
a
@inf
(* (+ a (+ b (+ c d))) 2)
0.0ms
d
@inf
(+ a (+ b (+ c d)))
0.0ms
a
@-inf
(* (+ a (+ b (+ c d))) 2)
0.0ms
b
@inf
(* (+ a (+ b (+ c d))) 2)

rewrite316.0ms (5%)

Memory
13.2MiB live, 471.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 242×lower-fma.f64
6 242×lower-fma.f32
4 710×lower-*.f32
4 708×lower-*.f64
3 658×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0924
01324
15824
256924
0824724
Stop Event
iter limit
node limit
iter limit
Counts
4 → 373
Calls
Call 1
Inputs
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 b (+.f64 c d))
(+.f64 c d)
Outputs
(+.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 (+.f64 b (+.f64 c d)) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (*.f64 (+.f64 c d) #s(literal 2 binary64)))
(+.f64 (*.f64 (+.f64 b (+.f64 c d)) #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))
(+.f64 (*.f64 (+.f64 c d) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(+.f64 (*.f64 #s(literal 2 binary64) b) (*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d))))
(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 b c)) (*.f64 #s(literal 2 binary64) (+.f64 a d)))
(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d))) (*.f64 #s(literal 2 binary64) b))
(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 b c))) (*.f64 #s(literal 2 binary64) d))
(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 b d))) (*.f64 #s(literal 2 binary64) c))
(+.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64)))
(+.f64 (*.f64 (+.f64 b c) #s(literal 2 binary64)) (*.f64 (+.f64 a d) #s(literal 2 binary64)))
(+.f64 (*.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64)) (*.f64 b #s(literal 2 binary64)))
(+.f64 (*.f64 (+.f64 a (+.f64 b c)) #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))
(+.f64 (*.f64 (+.f64 a (+.f64 b d)) #s(literal 2 binary64)) (*.f64 c #s(literal 2 binary64)))
(fma.f64 a #s(literal 2 binary64) (*.f64 (+.f64 b (+.f64 c d)) #s(literal 2 binary64)))
(fma.f64 b #s(literal 2 binary64) (*.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64)))
(fma.f64 (+.f64 c d) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(fma.f64 (+.f64 b (+.f64 c d)) #s(literal 2 binary64) (*.f64 a #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) a (*.f64 (+.f64 b (+.f64 c d)) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) b (*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d))))
(fma.f64 #s(literal 2 binary64) (+.f64 c d) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(fma.f64 #s(literal 2 binary64) (+.f64 b (+.f64 c d)) (*.f64 a #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (+.f64 b c) (*.f64 #s(literal 2 binary64) (+.f64 a d)))
(fma.f64 #s(literal 2 binary64) (+.f64 a b) (*.f64 (+.f64 c d) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)) (*.f64 #s(literal 2 binary64) b))
(fma.f64 #s(literal 2 binary64) (+.f64 a (+.f64 b c)) (*.f64 #s(literal 2 binary64) d))
(fma.f64 #s(literal 2 binary64) (+.f64 a (+.f64 b d)) (*.f64 #s(literal 2 binary64) c))
(fma.f64 (fma.f64 d (*.f64 d d) (*.f64 c (*.f64 c c))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d (-.f64 d c)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(fma.f64 (fma.f64 b (*.f64 b b) (*.f64 (+.f64 c d) (*.f64 (+.f64 c d) (+.f64 c d)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 c d) (-.f64 (+.f64 c d) b) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))
(fma.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 c d)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(fma.f64 (*.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (+.f64 c d))) #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))
(fma.f64 (+.f64 b c) #s(literal 2 binary64) (*.f64 (+.f64 a d) #s(literal 2 binary64)))
(fma.f64 (+.f64 a b) #s(literal 2 binary64) (*.f64 (+.f64 c d) #s(literal 2 binary64)))
(fma.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64) (*.f64 b #s(literal 2 binary64)))
(fma.f64 (+.f64 a (+.f64 b c)) #s(literal 2 binary64) (*.f64 d #s(literal 2 binary64)))
(fma.f64 (+.f64 a (+.f64 b d)) #s(literal 2 binary64) (*.f64 c #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 b (*.f64 b b) (*.f64 (+.f64 c d) (*.f64 (+.f64 c d) (+.f64 c d))))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 c d) (-.f64 (+.f64 c d) b) (*.f64 b b))) (*.f64 a #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d)))) (/.f64 #s(literal 1 binary64) (-.f64 b (+.f64 c d))) (*.f64 a #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 d (*.f64 d d) (*.f64 c (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d (-.f64 d c)))) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 #s(literal 1 binary64) (-.f64 c d)) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a (+.f64 b (+.f64 c d)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 b (+.f64 c d)) (+.f64 b (-.f64 (+.f64 c d) a)) (*.f64 a a)) (*.f64 #s(literal 2 binary64) (fma.f64 a (*.f64 a a) (*.f64 (+.f64 b (+.f64 c d)) (*.f64 (+.f64 b (+.f64 c d)) (+.f64 b (+.f64 c d))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a (+.f64 b (+.f64 c d))) (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) (*.f64 (-.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 a (*.f64 a a) (*.f64 (+.f64 b (+.f64 c d)) (*.f64 (+.f64 b (+.f64 c d)) (+.f64 b (+.f64 c d)))))) (fma.f64 (+.f64 b (+.f64 c d)) (+.f64 b (-.f64 (+.f64 c d) a)) (*.f64 a a)))
(/.f64 (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) (*.f64 (-.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))) (-.f64 a (+.f64 b (+.f64 c d))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b b) (-.f64 b (+.f64 c d))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (+.f64 c d) (+.f64 c d)) (-.f64 b (+.f64 c d))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 b b) (-.f64 b (+.f64 c d))) (/.f64 (*.f64 b b) (-.f64 b (+.f64 c d))) (fma.f64 (/.f64 (*.f64 (+.f64 c d) (+.f64 c d)) (-.f64 b (+.f64 c d))) (/.f64 (*.f64 (+.f64 c d) (+.f64 c d)) (-.f64 b (+.f64 c d))) (*.f64 (/.f64 (*.f64 b b) (-.f64 b (+.f64 c d))) (/.f64 (*.f64 (+.f64 c d) (+.f64 c d)) (-.f64 b (+.f64 c d)))))))
(/.f64 (-.f64 (*.f64 c c) (*.f64 (+.f64 b d) (+.f64 b d))) (-.f64 c (+.f64 b d)))
(/.f64 (-.f64 (*.f64 d d) (*.f64 (+.f64 b c) (+.f64 b c))) (-.f64 d (+.f64 b c)))
(/.f64 (-.f64 (*.f64 (+.f64 b d) (+.f64 b d)) (*.f64 c c)) (-.f64 (+.f64 b d) c))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) (-.f64 b (+.f64 c d))) (/.f64 (*.f64 b b) (-.f64 b (+.f64 c d)))) (*.f64 (/.f64 (*.f64 (+.f64 c d) (+.f64 c d)) (-.f64 b (+.f64 c d))) (/.f64 (*.f64 (+.f64 c d) (+.f64 c d)) (-.f64 b (+.f64 c d))))) (fma.f64 b (/.f64 b (-.f64 b (+.f64 c d))) (/.f64 (*.f64 (+.f64 c d) (+.f64 c d)) (-.f64 b (+.f64 c d)))))
(/.f64 (*.f64 (*.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d))) #s(literal 1 binary64)) (-.f64 b (+.f64 c d)))
(/.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 (+.f64 c d) (*.f64 (+.f64 c d) (+.f64 c d)))) #s(literal 1 binary64)) (fma.f64 (+.f64 c d) (-.f64 (+.f64 c d) b) (*.f64 b b)))
(/.f64 (*.f64 (fma.f64 (*.f64 (+.f64 c d) (*.f64 (+.f64 c d) (+.f64 c d))) (*.f64 (+.f64 c d) (*.f64 (*.f64 (+.f64 c d) (+.f64 c d)) (*.f64 (+.f64 c d) (*.f64 (+.f64 c d) (+.f64 c d))))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 c d) (-.f64 (+.f64 c d) b) (*.f64 b b)))) (fma.f64 b (*.f64 (*.f64 b b) (*.f64 b (*.f64 b b))) (*.f64 (*.f64 (+.f64 c d) (*.f64 (+.f64 c d) (+.f64 c d))) (-.f64 (*.f64 (+.f64 c d) (*.f64 (+.f64 c d) (+.f64 c d))) (*.f64 b (*.f64 b b))))))
(/.f64 (*.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 (+.f64 c d) (*.f64 (+.f64 c d) (+.f64 c d)))) (*.f64 (fma.f64 (+.f64 c d) (+.f64 b (+.f64 c d)) (*.f64 b b)) (-.f64 b (+.f64 c d)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 c d) (-.f64 (+.f64 c d) b) (*.f64 b b)))) (*.f64 (fma.f64 (+.f64 c d) (+.f64 b (+.f64 c d)) (*.f64 b b)) (-.f64 b (+.f64 c d))))
(/.f64 (*.f64 (*.f64 (fma.f64 b (*.f64 b b) (*.f64 (+.f64 c d) (*.f64 (+.f64 c d) (+.f64 c d)))) (*.f64 (fma.f64 (+.f64 c d) (+.f64 b (+.f64 c d)) (*.f64 b b)) (-.f64 b (+.f64 c d)))) (/.f64 #s(literal 1 binary64) (-.f64 b (+.f64 c d)))) (fma.f64 b (*.f64 b (*.f64 b b)) (*.f64 (*.f64 (+.f64 c d) (+.f64 c d)) (fma.f64 (+.f64 c d) (+.f64 c d) (*.f64 b b)))))
(/.f64 (*.f64 (*.f64 (fma.f64 (+.f64 c d) (+.f64 c d) (*.f64 b b)) (*.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d)))) (/.f64 #s(literal 1 binary64) (-.f64 b (+.f64 c d)))) (fma.f64 (+.f64 c d) (+.f64 c d) (*.f64 b b)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 b (+.f64 c d))) #s(literal -1 binary64))
(*.f64 (+.f64 b (+.f64 c d)) (*.f64 (-.f64 b (+.f64 c d)) (/.f64 #s(literal 1 binary64) (-.f64 b (+.f64 c d)))))
(*.f64 (+.f64 b (+.f64 c d)) (/.f64 (-.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d))))
(*.f64 (fma.f64 b (*.f64 b b) (*.f64 (+.f64 c d) (*.f64 (+.f64 c d) (+.f64 c d)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 c d) (-.f64 (+.f64 c d) b) (*.f64 b b))))
(*.f64 (fma.f64 (+.f64 c d) (-.f64 (+.f64 c d) b) (*.f64 b b)) (*.f64 (+.f64 b (+.f64 c d)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 c d) (-.f64 (+.f64 c d) b) (*.f64 b b)))))
(*.f64 (fma.f64 (+.f64 c d) (-.f64 (+.f64 c d) b) (*.f64 b b)) (/.f64 (+.f64 b (+.f64 c d)) (fma.f64 (+.f64 c d) (-.f64 (+.f64 c d) b) (*.f64 b b))))
(*.f64 (*.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d))) (/.f64 #s(literal 1 binary64) (-.f64 b (+.f64 c d))))
(*.f64 (neg.f64 (fma.f64 b (*.f64 b b) (*.f64 (+.f64 c d) (*.f64 (+.f64 c d) (+.f64 c d))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 c d) (-.f64 (+.f64 c d) b) (*.f64 b b)))))
(*.f64 (*.f64 (+.f64 b (+.f64 c d)) (+.f64 (neg.f64 b) (+.f64 c d))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 b) (+.f64 c d))))
(*.f64 (fma.f64 d (*.f64 d d) (*.f64 (+.f64 b c) (*.f64 (+.f64 b c) (+.f64 b c)))) (/.f64 #s(literal 1 binary64) (fma.f64 d (-.f64 d (+.f64 b c)) (*.f64 (+.f64 b c) (+.f64 b c)))))
(*.f64 #s(literal 1 binary64) (+.f64 b (+.f64 c d)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 c d) (-.f64 (+.f64 c d) b) (*.f64 b b))) (fma.f64 b (*.f64 b b) (*.f64 (+.f64 c d) (*.f64 (+.f64 c d) (+.f64 c d)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (+.f64 c d))) (*.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d))))
(*.f64 (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 c d) b)) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 c d) b)))
(*.f64 (*.f64 (+.f64 b (+.f64 c d)) (+.f64 b (-.f64 c d))) (/.f64 #s(literal 1 binary64) (+.f64 b (-.f64 c d))))
(*.f64 (/.f64 (*.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d))) (*.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d)))) (+.f64 b (+.f64 c d)))
(*.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 (+.f64 c d) (*.f64 (+.f64 c d) (+.f64 c d)))) (fma.f64 (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b)) (*.f64 (*.f64 (+.f64 c d) (+.f64 c d)) (*.f64 (-.f64 (+.f64 c d) b) (-.f64 (+.f64 c d) b))) (*.f64 (*.f64 b (*.f64 b b)) (*.f64 b (*.f64 b b))))) (fma.f64 (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b)) (-.f64 (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b)) (*.f64 b b)) (*.f64 (*.f64 b b) (*.f64 b b))))
(*.f64 (/.f64 (fma.f64 b (*.f64 b b) (*.f64 (+.f64 c d) (*.f64 (+.f64 c d) (+.f64 c d)))) (*.f64 (fma.f64 (+.f64 c d) (-.f64 (+.f64 c d) b) (*.f64 b b)) (-.f64 (*.f64 b b) (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b))))) (-.f64 (*.f64 b b) (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b))))
(*.f64 (/.f64 (*.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d))) (*.f64 (fma.f64 (+.f64 c d) (+.f64 b (+.f64 c d)) (*.f64 b b)) (-.f64 b (+.f64 c d)))) (fma.f64 (+.f64 c d) (+.f64 b (+.f64 c d)) (*.f64 b b)))
(+.f64 c d)
(+.f64 d c)
(+.f64 (/.f64 (*.f64 c c) (-.f64 c d)) (neg.f64 (/.f64 (*.f64 d d) (-.f64 c d))))
(-.f64 (/.f64 (*.f64 c c) (-.f64 c d)) (/.f64 (*.f64 d d) (-.f64 c d)))
(-.f64 (/.f64 (*.f64 d d) (-.f64 d c)) (/.f64 (*.f64 c c) (-.f64 d c)))
(fma.f64 c (/.f64 c (-.f64 c d)) (neg.f64 (/.f64 (*.f64 d d) (-.f64 c d))))
(fma.f64 (*.f64 c c) (/.f64 #s(literal 1 binary64) (-.f64 c d)) (neg.f64 (/.f64 (*.f64 d d) (-.f64 c d))))
(fma.f64 (/.f64 (*.f64 c c) (*.f64 (+.f64 c d) (-.f64 c d))) (+.f64 c d) (neg.f64 (/.f64 (*.f64 d d) (-.f64 c d))))
(fma.f64 (/.f64 (*.f64 c c) (*.f64 (fma.f64 c c (*.f64 d (+.f64 c d))) (-.f64 c d))) (fma.f64 c c (*.f64 d (+.f64 c d))) (neg.f64 (/.f64 (*.f64 d d) (-.f64 c d))))
(neg.f64 (neg.f64 (+.f64 c d)))
(/.f64 (fma.f64 d (*.f64 d d) (*.f64 c (*.f64 c c))) (fma.f64 c c (*.f64 d (-.f64 d c))))
(/.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (-.f64 c d))
(/.f64 (neg.f64 (fma.f64 d (*.f64 d d) (*.f64 c (*.f64 c c)))) (neg.f64 (fma.f64 c c (*.f64 d (-.f64 d c)))))
(/.f64 (*.f64 (+.f64 c d) (neg.f64 (-.f64 c d))) (neg.f64 (-.f64 c d)))
(/.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (*.f64 (fma.f64 c c (*.f64 d (-.f64 d c))) (fma.f64 c (*.f64 (*.f64 c c) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d (*.f64 d d)) (-.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c)))))))
(/.f64 (*.f64 (fma.f64 d (*.f64 d d) (*.f64 c (*.f64 c c))) (*.f64 (fma.f64 c c (*.f64 d (+.f64 c d))) (-.f64 c d))) (*.f64 (fma.f64 c c (*.f64 d (-.f64 d c))) (*.f64 (fma.f64 c c (*.f64 d (+.f64 c d))) (-.f64 c d))))
(/.f64 (*.f64 (fma.f64 d (*.f64 d d) (*.f64 c (*.f64 c c))) (*.f64 (fma.f64 c c (*.f64 d (+.f64 c d))) (-.f64 c d))) (*.f64 (-.f64 c d) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (fma.f64 c c (*.f64 d d))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 c d)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 c d)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 d c) (*.f64 (+.f64 c d) (-.f64 d c))))
(/.f64 (*.f64 (+.f64 c d) (-.f64 d c)) (-.f64 d c))
(/.f64 (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d))) (*.f64 (-.f64 c d) (fma.f64 c c (*.f64 d d))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 c d))))
(/.f64 (-.f64 (*.f64 (*.f64 c c) (-.f64 c d)) (*.f64 (-.f64 c d) (*.f64 d d))) (*.f64 (-.f64 c d) (-.f64 c d)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 d (*.f64 d d) (*.f64 c (*.f64 c c))))) (neg.f64 (neg.f64 (fma.f64 c c (*.f64 d (-.f64 d c))))))
(/.f64 (neg.f64 (*.f64 (+.f64 c d) (neg.f64 (-.f64 c d)))) (neg.f64 (neg.f64 (-.f64 c d))))
(/.f64 (neg.f64 (*.f64 (+.f64 c d) (-.f64 d c))) (neg.f64 (-.f64 d c)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 c c) (-.f64 c d)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 d d) (-.f64 c d)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 c c) (-.f64 c d)) (/.f64 (*.f64 c c) (-.f64 c d)) (fma.f64 (/.f64 (*.f64 d d) (-.f64 c d)) (/.f64 (*.f64 d d) (-.f64 c d)) (*.f64 (/.f64 (*.f64 c c) (-.f64 c d)) (/.f64 (*.f64 d d) (-.f64 c d))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 c c) (-.f64 c d)) (/.f64 (*.f64 c c) (-.f64 c d))) (*.f64 (/.f64 (*.f64 d d) (-.f64 c d)) (/.f64 (*.f64 d d) (-.f64 c d)))) (fma.f64 c (/.f64 c (-.f64 c d)) (/.f64 (*.f64 d d) (-.f64 c d))))
(/.f64 (*.f64 (fma.f64 d (*.f64 d d) (*.f64 c (*.f64 c c))) #s(literal 1 binary64)) (fma.f64 c c (*.f64 d (-.f64 d c))))
(/.f64 (*.f64 (*.f64 (+.f64 c d) (-.f64 c d)) #s(literal 1 binary64)) (-.f64 c d))
(/.f64 (*.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d (-.f64 d c))))) (fma.f64 c (*.f64 (*.f64 c c) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d (*.f64 d d)) (-.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))))))
(/.f64 (*.f64 (*.f64 (fma.f64 d (*.f64 d d) (*.f64 c (*.f64 c c))) (*.f64 (fma.f64 c c (*.f64 d (+.f64 c d))) (-.f64 c d))) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d (-.f64 d c))))) (*.f64 (fma.f64 c c (*.f64 d (+.f64 c d))) (-.f64 c d)))
(/.f64 (*.f64 (*.f64 (fma.f64 d (*.f64 d d) (*.f64 c (*.f64 c c))) (*.f64 (fma.f64 c c (*.f64 d (+.f64 c d))) (-.f64 c d))) (/.f64 #s(literal 1 binary64) (-.f64 c d))) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 d d) (fma.f64 c c (*.f64 d d)))))
(/.f64 (*.f64 (*.f64 (fma.f64 c c (*.f64 d d)) (*.f64 (+.f64 c d) (-.f64 c d))) (/.f64 #s(literal 1 binary64) (-.f64 c d))) (fma.f64 c c (*.f64 d d)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 c d)) #s(literal -1 binary64))
(*.f64 (+.f64 c d) (*.f64 (-.f64 c d) (/.f64 #s(literal 1 binary64) (-.f64 c d))))
(*.f64 (+.f64 c d) (/.f64 (-.f64 c d) (-.f64 c d)))
(*.f64 (fma.f64 d (*.f64 d d) (*.f64 c (*.f64 c c))) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d (-.f64 d c)))))
(*.f64 (fma.f64 c c (*.f64 d (-.f64 d c))) (*.f64 (+.f64 c d) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d (-.f64 d c))))))
(*.f64 (fma.f64 c c (*.f64 d (-.f64 d c))) (/.f64 (+.f64 c d) (fma.f64 c c (*.f64 d (-.f64 d c)))))
(*.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (/.f64 #s(literal 1 binary64) (-.f64 c d)))
(*.f64 (neg.f64 (fma.f64 d (*.f64 d d) (*.f64 c (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 c c (*.f64 d (-.f64 d c))))))
(*.f64 (*.f64 (+.f64 c d) (neg.f64 (-.f64 c d))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 c d))))
(*.f64 #s(literal 1 binary64) (+.f64 c d))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 d (-.f64 d c)))) (fma.f64 d (*.f64 d d) (*.f64 c (*.f64 c c))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 c d)) (*.f64 (+.f64 c d) (-.f64 c d)))
(*.f64 (*.f64 (+.f64 c d) (-.f64 d c)) (/.f64 #s(literal 1 binary64) (-.f64 d c)))
(*.f64 (/.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (+.f64 c d) (-.f64 c d))) (+.f64 c d))
(*.f64 (/.f64 (fma.f64 d (*.f64 d d) (*.f64 c (*.f64 c c))) (fma.f64 (*.f64 d (-.f64 d c)) (*.f64 (*.f64 d (-.f64 d c)) (*.f64 d (-.f64 d c))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))))) (fma.f64 (*.f64 d (-.f64 d c)) (-.f64 (*.f64 d (-.f64 d c)) (*.f64 c c)) (*.f64 c (*.f64 c (*.f64 c c)))))
(*.f64 (/.f64 (fma.f64 d (*.f64 d d) (*.f64 c (*.f64 c c))) (*.f64 (fma.f64 c c (*.f64 d (-.f64 d c))) (-.f64 (*.f64 c c) (*.f64 d (-.f64 d c))))) (-.f64 (*.f64 c c) (*.f64 d (-.f64 d c))))
(*.f64 (/.f64 (*.f64 (+.f64 c d) (-.f64 c d)) (*.f64 (fma.f64 c c (*.f64 d (+.f64 c d))) (-.f64 c d))) (fma.f64 c c (*.f64 d (+.f64 c d))))

simplify231.0ms (3.6%)

Memory
7.5MiB live, 391.9MiB allocated
Algorithm
egg-herbie
Rules
6 904×lower-fma.f64
6 904×lower-fma.f32
3 448×lower-*.f64
3 448×lower-*.f32
2 444×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0137890
1436890
21261890
34083878
08128875
Stop Event
iter limit
node limit
Counts
156 → 136
Calls
Call 1
Inputs
(* 2 (+ b (+ c d)))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(* 2 a)
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(* 2 a)
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(* 2 (+ a (+ c d)))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(* 2 b)
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(* 2 b)
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(* 2 (+ a (+ b d)))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(* 2 c)
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(* 2 c)
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(* 2 (+ a (+ b c)))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(* 2 d)
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* 2 d)
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(+ b (+ c d))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
a
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(+ a (+ c d))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
b
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(+ a (+ b d))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
c
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(+ a (+ b c))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
d
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(+ c d)
(+ b (+ c d))
(+ b (+ c d))
(+ b (+ c d))
b
(* b (+ 1 (+ (/ c b) (/ d b))))
(* b (+ 1 (+ (/ c b) (/ d b))))
(* b (+ 1 (+ (/ c b) (/ d b))))
b
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(+ b d)
(+ b (+ c d))
(+ b (+ c d))
(+ b (+ c d))
c
(* c (+ 1 (+ (/ b c) (/ d c))))
(* c (+ 1 (+ (/ b c) (/ d c))))
(* c (+ 1 (+ (/ b c) (/ d c))))
c
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(+ b c)
(+ b (+ c d))
(+ b (+ c d))
(+ b (+ c d))
d
(* d (+ 1 (+ (/ b d) (/ c d))))
(* d (+ 1 (+ (/ b d) (/ c d))))
(* d (+ 1 (+ (/ b d) (/ c d))))
d
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
d
(+ c d)
(+ c d)
(+ c d)
c
(* c (+ 1 (/ d c)))
(* c (+ 1 (/ d c)))
(* c (+ 1 (/ d c)))
c
(* -1 (* c (- (* -1 (/ d c)) 1)))
(* -1 (* c (- (* -1 (/ d c)) 1)))
(* -1 (* c (- (* -1 (/ d c)) 1)))
c
(+ c d)
(+ c d)
(+ c d)
d
(* d (+ 1 (/ c d)))
(* d (+ 1 (/ c d)))
(* d (+ 1 (/ c d)))
d
(* -1 (* d (- (* -1 (/ c d)) 1)))
(* -1 (* d (- (* -1 (/ c d)) 1)))
(* -1 (* d (- (* -1 (/ c d)) 1)))
Outputs
(* 2 (+ b (+ c d)))
(*.f64 #s(literal 2 binary64) (+.f64 b (+.f64 c d)))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* 2 (+ a (+ c d)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* 2 (+ a (+ b d)))
(*.f64 #s(literal 2 binary64) (+.f64 b (+.f64 d a)))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* 2 (+ a (+ b c)))
(*.f64 #s(literal 2 binary64) (+.f64 b (+.f64 c a)))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 d a))))
(+ b (+ c d))
(+.f64 b (+.f64 c d))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 d a)))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 d a)))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 d a)))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(+.f64 b (+.f64 d (fma.f64 a (/.f64 c a) a)))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(+.f64 b (+.f64 d (fma.f64 a (/.f64 c a) a)))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(+.f64 b (+.f64 d (fma.f64 a (/.f64 c a) a)))
a
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(+.f64 c (+.f64 b (+.f64 d a)))
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(+.f64 c (+.f64 b (+.f64 d a)))
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(+.f64 c (+.f64 b (+.f64 d a)))
(+ a (+ c d))
(+.f64 c (+.f64 d a))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 d a)))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 d a)))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 d a)))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(+.f64 c (+.f64 b (+.f64 d a)))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(+.f64 c (+.f64 b (+.f64 d a)))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(+.f64 c (+.f64 b (+.f64 d a)))
b
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(+.f64 c (+.f64 b (+.f64 d a)))
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(+.f64 c (+.f64 b (+.f64 d a)))
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(+.f64 c (+.f64 b (+.f64 d a)))
(+ a (+ b d))
(+.f64 b (+.f64 d a))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 d a)))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 d a)))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 d a)))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(+.f64 c (+.f64 b (+.f64 d a)))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(+.f64 c (+.f64 b (+.f64 d a)))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(+.f64 c (+.f64 b (+.f64 d a)))
c
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(+.f64 c (+.f64 b (+.f64 d a)))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(+.f64 c (+.f64 b (+.f64 d a)))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(+.f64 c (+.f64 b (+.f64 d a)))
(+ a (+ b c))
(+.f64 b (+.f64 c a))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 d a)))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 d a)))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 d a)))
d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(+.f64 c (+.f64 b (+.f64 d a)))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(+.f64 c (+.f64 b (+.f64 d a)))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(+.f64 c (+.f64 b (+.f64 d a)))
d
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(+.f64 c (+.f64 b (+.f64 d a)))
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(+.f64 c (+.f64 b (+.f64 d a)))
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(+.f64 c (+.f64 b (+.f64 d a)))
(+ c d)
(+.f64 c d)
(+ b (+ c d))
(+.f64 b (+.f64 c d))
(+ b (+ c d))
(+.f64 b (+.f64 c d))
(+ b (+ c d))
(+.f64 b (+.f64 c d))
b
(* b (+ 1 (+ (/ c b) (/ d b))))
(+.f64 b (+.f64 c d))
(* b (+ 1 (+ (/ c b) (/ d b))))
(+.f64 b (+.f64 c d))
(* b (+ 1 (+ (/ c b) (/ d b))))
(+.f64 b (+.f64 c d))
b
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(+.f64 b (+.f64 c d))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(+.f64 b (+.f64 c d))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(+.f64 b (+.f64 c d))
(+ b d)
(+.f64 b d)
(+ b (+ c d))
(+.f64 b (+.f64 c d))
(+ b (+ c d))
(+.f64 b (+.f64 c d))
(+ b (+ c d))
(+.f64 b (+.f64 c d))
c
(* c (+ 1 (+ (/ b c) (/ d c))))
(+.f64 b (+.f64 c d))
(* c (+ 1 (+ (/ b c) (/ d c))))
(+.f64 b (+.f64 c d))
(* c (+ 1 (+ (/ b c) (/ d c))))
(+.f64 b (+.f64 c d))
c
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(+.f64 b (+.f64 c d))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(+.f64 b (+.f64 c d))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(+.f64 b (+.f64 c d))
(+ b c)
(+.f64 b c)
(+ b (+ c d))
(+.f64 b (+.f64 c d))
(+ b (+ c d))
(+.f64 b (+.f64 c d))
(+ b (+ c d))
(+.f64 b (+.f64 c d))
d
(* d (+ 1 (+ (/ b d) (/ c d))))
(+.f64 b (+.f64 c d))
(* d (+ 1 (+ (/ b d) (/ c d))))
(+.f64 b (+.f64 c d))
(* d (+ 1 (+ (/ b d) (/ c d))))
(+.f64 b (+.f64 c d))
d
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(+.f64 b (+.f64 c d))
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(+.f64 b (+.f64 c d))
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(+.f64 b (+.f64 c d))
d
(+ c d)
(+.f64 c d)
(+ c d)
(+.f64 c d)
(+ c d)
(+.f64 c d)
c
(* c (+ 1 (/ d c)))
(+.f64 c d)
(* c (+ 1 (/ d c)))
(+.f64 c d)
(* c (+ 1 (/ d c)))
(+.f64 c d)
c
(* -1 (* c (- (* -1 (/ d c)) 1)))
(+.f64 c d)
(* -1 (* c (- (* -1 (/ d c)) 1)))
(+.f64 c d)
(* -1 (* c (- (* -1 (/ d c)) 1)))
(+.f64 c d)
c
(+ c d)
(+.f64 c d)
(+ c d)
(+.f64 c d)
(+ c d)
(+.f64 c d)
d
(* d (+ 1 (/ c d)))
(+.f64 c d)
(* d (+ 1 (/ c d)))
(+.f64 c d)
(* d (+ 1 (/ c d)))
(+.f64 c d)
d
(* -1 (* d (- (* -1 (/ c d)) 1)))
(+.f64 c d)
(* -1 (* d (- (* -1 (/ c d)) 1)))
(+.f64 c d)
(* -1 (* d (- (* -1 (/ c d)) 1)))
(+.f64 c d)

eval72.0ms (1.1%)

Memory
4.9MiB live, 155.9MiB allocated
Compiler

Compiled 13 163 to 1 451 computations (89% saved)

prune108.0ms (1.7%)

Memory
2.0MiB live, 126.8MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New5045509
Fresh000
Picked101
Done000
Total5055510
Accuracy
100.0%
Counts
510 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 (+.f64 b c) (+.f64 a d)) #s(literal 2 binary64))
11.7%
(*.f64 (+.f64 c (+.f64 d a)) #s(literal 2 binary64))
11.7%
(*.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64))
11.6%
(*.f64 #s(literal 2 binary64) c)
6.3%
(*.f64 #s(literal 2 binary64) b)
Compiler

Compiled 98 to 74 computations (24.5% saved)

simplify11.0ms (0.2%)

Memory
21.7MiB live, 21.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 d a)
cost-diff0
(+.f64 c (+.f64 d a))
cost-diff0
(*.f64 (+.f64 c (+.f64 d a)) #s(literal 2 binary64))
cost-diff0
(+.f64 c d)
cost-diff0
(+.f64 a (+.f64 c d))
cost-diff0
(*.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64))
cost-diff0
(*.f64 #s(literal 2 binary64) c)
cost-diff0
(*.f64 #s(literal 2 binary64) b)
cost-diff0
(+.f64 a d)
cost-diff0
(+.f64 b c)
cost-diff0
(+.f64 (+.f64 b c) (+.f64 a d))
cost-diff0
(*.f64 (+.f64 (+.f64 b c) (+.f64 a d)) #s(literal 2 binary64))
Rules
200×lower-fma.f64
200×lower-fma.f32
200×lower-+.f32
186×lower-+.f64
108×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01775
02975
14675
210275
320675
425675
525675
025675
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (+.f64 (+.f64 b c) (+.f64 a d)) #s(literal 2 binary64))
(+.f64 (+.f64 b c) (+.f64 a d))
(+.f64 b c)
b
c
(+.f64 a d)
a
d
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)
b
(*.f64 #s(literal 2 binary64) c)
#s(literal 2 binary64)
c
(*.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64))
(+.f64 a (+.f64 c d))
a
(+.f64 c d)
c
d
#s(literal 2 binary64)
(*.f64 (+.f64 c (+.f64 d a)) #s(literal 2 binary64))
(+.f64 c (+.f64 d a))
c
(+.f64 d a)
d
a
#s(literal 2 binary64)
Outputs
(*.f64 (+.f64 (+.f64 b c) (+.f64 a d)) #s(literal 2 binary64))
(*.f64 (+.f64 b (+.f64 a (+.f64 c d))) #s(literal 2 binary64))
(+.f64 (+.f64 b c) (+.f64 a d))
(+.f64 b (+.f64 a (+.f64 c d)))
(+.f64 b c)
b
c
(+.f64 a d)
a
d
#s(literal 2 binary64)
(*.f64 #s(literal 2 binary64) b)
(*.f64 b #s(literal 2 binary64))
#s(literal 2 binary64)
b
(*.f64 #s(literal 2 binary64) c)
(*.f64 c #s(literal 2 binary64))
#s(literal 2 binary64)
c
(*.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(+.f64 a (+.f64 c d))
a
(+.f64 c d)
c
d
#s(literal 2 binary64)
(*.f64 (+.f64 c (+.f64 d a)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(+.f64 c (+.f64 d a))
(+.f64 a (+.f64 c d))
c
(+.f64 d a)
(+.f64 a d)
d
a
#s(literal 2 binary64)

localize77.0ms (1.2%)

Memory
4.1MiB live, 81.3MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 d a)
accuracy100.0%
(+.f64 c (+.f64 d a))
accuracy100.0%
(*.f64 (+.f64 c (+.f64 d a)) #s(literal 2 binary64))
accuracy100.0%
(+.f64 c d)
accuracy100.0%
(*.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64))
accuracy97.9%
(+.f64 a (+.f64 c d))
accuracy100.0%
(*.f64 #s(literal 2 binary64) c)
accuracy100.0%
(*.f64 #s(literal 2 binary64) b)
accuracy100.0%
(+.f64 (+.f64 b c) (+.f64 a d))
accuracy100.0%
(+.f64 b c)
accuracy100.0%
(+.f64 a d)
accuracy100.0%
(*.f64 (+.f64 (+.f64 b c) (+.f64 a d)) #s(literal 2 binary64))
Samples
59.0ms256×0valid
Compiler

Compiled 77 to 19 computations (75.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-add: 37.0ms (81.2% of total)
ival-mult: 8.0ms (17.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory
-41.8MiB live, 16.6MiB allocated
Counts
12 → 360
Calls
Call 1
Inputs
#<alt (*.f64 (+.f64 (+.f64 b c) (+.f64 a d)) #s(literal 2 binary64))>
#<alt (+.f64 (+.f64 b c) (+.f64 a d))>
#<alt (+.f64 b c)>
#<alt (+.f64 a d)>
#<alt (*.f64 #s(literal 2 binary64) b)>
#<alt (*.f64 #s(literal 2 binary64) c)>
#<alt (*.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64))>
#<alt (+.f64 a (+.f64 c d))>
#<alt (+.f64 c d)>
#<alt (*.f64 (+.f64 c (+.f64 d a)) #s(literal 2 binary64))>
#<alt (+.f64 c (+.f64 d a))>
#<alt (+.f64 d a)>
Outputs
#<alt (* 2 (+ a (+ c d)))>
#<alt (+ (* 2 b) (* 2 (+ a (+ c d))))>
#<alt (+ (* 2 b) (* 2 (+ a (+ c d))))>
#<alt (+ (* 2 b) (* 2 (+ a (+ c d))))>
#<alt (* 2 b)>
#<alt (* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))>
#<alt (* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))>
#<alt (* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))>
#<alt (* 2 b)>
#<alt (* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))>
#<alt (* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))>
#<alt (* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))>
#<alt (* 2 (+ a (+ b d)))>
#<alt (+ (* 2 c) (* 2 (+ a (+ b d))))>
#<alt (+ (* 2 c) (* 2 (+ a (+ b d))))>
#<alt (+ (* 2 c) (* 2 (+ a (+ b d))))>
#<alt (* 2 c)>
#<alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))>
#<alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))>
#<alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))>
#<alt (* 2 c)>
#<alt (* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))>
#<alt (* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))>
#<alt (* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))>
#<alt (* 2 (+ b (+ c d)))>
#<alt (+ (* 2 a) (* 2 (+ b (+ c d))))>
#<alt (+ (* 2 a) (* 2 (+ b (+ c d))))>
#<alt (+ (* 2 a) (* 2 (+ b (+ c d))))>
#<alt (* 2 a)>
#<alt (* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))>
#<alt (* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))>
#<alt (* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))>
#<alt (* 2 a)>
#<alt (* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))>
#<alt (* 2 (+ a (+ b c)))>
#<alt (+ (* 2 d) (* 2 (+ a (+ b c))))>
#<alt (+ (* 2 d) (* 2 (+ a (+ b c))))>
#<alt (+ (* 2 d) (* 2 (+ a (+ b c))))>
#<alt (* 2 d)>
#<alt (* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))>
#<alt (* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))>
#<alt (* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))>
#<alt (* 2 d)>
#<alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))>
#<alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))>
#<alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))>
#<alt (+ a (+ c d))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt b>
#<alt (* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))>
#<alt (* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))>
#<alt (* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))>
#<alt (+ a (+ b d))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt c>
#<alt (* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))>
#<alt (* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))>
#<alt (* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))>
#<alt (+ b (+ c d))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt a>
#<alt (* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))>
#<alt (* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))>
#<alt (* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))>
#<alt (+ a (+ b c))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt d>
#<alt (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))>
#<alt (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))>
#<alt (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))>
#<alt d>
#<alt (* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))>
#<alt c>
#<alt (+ b c)>
#<alt (+ b c)>
#<alt (+ b c)>
#<alt b>
#<alt (* b (+ 1 (/ c b)))>
#<alt (* b (+ 1 (/ c b)))>
#<alt (* b (+ 1 (/ c b)))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ c b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ c b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ c b)) 1)))>
#<alt b>
#<alt (+ b c)>
#<alt (+ b c)>
#<alt (+ b c)>
#<alt c>
#<alt (* c (+ 1 (/ b c)))>
#<alt (* c (+ 1 (/ b c)))>
#<alt (* c (+ 1 (/ b c)))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ b c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ b c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ b c)) 1)))>
#<alt d>
#<alt (+ a d)>
#<alt (+ a d)>
#<alt (+ a d)>
#<alt a>
#<alt (* a (+ 1 (/ d a)))>
#<alt (* a (+ 1 (/ d a)))>
#<alt (* a (+ 1 (/ d a)))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ d a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ d a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ d a)) 1)))>
#<alt a>
#<alt (+ a d)>
#<alt (+ a d)>
#<alt (+ a d)>
#<alt d>
#<alt (* d (+ 1 (/ a d)))>
#<alt (* d (+ 1 (/ a d)))>
#<alt (* d (+ 1 (/ a d)))>
#<alt d>
#<alt (* -1 (* d (- (* -1 (/ a d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ a d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ a d)) 1)))>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 (+ c d))>
#<alt (+ (* 2 a) (* 2 (+ c d)))>
#<alt (+ (* 2 a) (* 2 (+ c d)))>
#<alt (+ (* 2 a) (* 2 (+ c d)))>
#<alt (* 2 a)>
#<alt (* a (+ 2 (* 2 (/ (+ c d) a))))>
#<alt (* a (+ 2 (* 2 (/ (+ c d) a))))>
#<alt (* a (+ 2 (* 2 (/ (+ c d) a))))>
#<alt (* 2 a)>
#<alt (* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))>
#<alt (* 2 (+ a d))>
#<alt (+ (* 2 c) (* 2 (+ a d)))>
#<alt (+ (* 2 c) (* 2 (+ a d)))>
#<alt (+ (* 2 c) (* 2 (+ a d)))>
#<alt (* 2 c)>
#<alt (* c (+ 2 (* 2 (/ (+ a d) c))))>
#<alt (* c (+ 2 (* 2 (/ (+ a d) c))))>
#<alt (* c (+ 2 (* 2 (/ (+ a d) c))))>
#<alt (* 2 c)>
#<alt (* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))>
#<alt (* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))>
#<alt (* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))>
#<alt (* 2 (+ a c))>
#<alt (+ (* 2 d) (* 2 (+ a c)))>
#<alt (+ (* 2 d) (* 2 (+ a c)))>
#<alt (+ (* 2 d) (* 2 (+ a c)))>
#<alt (* 2 d)>
#<alt (* d (+ 2 (* 2 (/ (+ a c) d))))>
#<alt (* d (+ 2 (* 2 (/ (+ a c) d))))>
#<alt (* d (+ 2 (* 2 (/ (+ a c) d))))>
#<alt (* 2 d)>
#<alt (* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))>
#<alt (* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))>
#<alt (* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))>
#<alt (+ c d)>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt a>
#<alt (* a (+ 1 (+ (/ c a) (/ d a))))>
#<alt (* a (+ 1 (+ (/ c a) (/ d a))))>
#<alt (* a (+ 1 (+ (/ c a) (/ d a))))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))>
#<alt (+ a d)>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt c>
#<alt (* c (+ 1 (+ (/ a c) (/ d c))))>
#<alt (* c (+ 1 (+ (/ a c) (/ d c))))>
#<alt (* c (+ 1 (+ (/ a c) (/ d c))))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))>
#<alt (+ a c)>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt d>
#<alt (* d (+ 1 (+ (/ a d) (/ c d))))>
#<alt (* d (+ 1 (+ (/ a d) (/ c d))))>
#<alt (* d (+ 1 (+ (/ a d) (/ c d))))>
#<alt d>
#<alt (* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))>
#<alt d>
#<alt (+ c d)>
#<alt (+ c d)>
#<alt (+ c d)>
#<alt c>
#<alt (* c (+ 1 (/ d c)))>
#<alt (* c (+ 1 (/ d c)))>
#<alt (* c (+ 1 (/ d c)))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ d c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ d c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ d c)) 1)))>
#<alt c>
#<alt (+ c d)>
#<alt (+ c d)>
#<alt (+ c d)>
#<alt d>
#<alt (* d (+ 1 (/ c d)))>
#<alt (* d (+ 1 (/ c d)))>
#<alt (* d (+ 1 (/ c d)))>
#<alt d>
#<alt (* -1 (* d (- (* -1 (/ c d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ c d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ c d)) 1)))>
#<alt (* 2 (+ a d))>
#<alt (+ (* 2 c) (* 2 (+ a d)))>
#<alt (+ (* 2 c) (* 2 (+ a d)))>
#<alt (+ (* 2 c) (* 2 (+ a d)))>
#<alt (* 2 c)>
#<alt (* c (+ 2 (* 2 (/ (+ a d) c))))>
#<alt (* c (+ 2 (* 2 (/ (+ a d) c))))>
#<alt (* c (+ 2 (* 2 (/ (+ a d) c))))>
#<alt (* 2 c)>
#<alt (* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))>
#<alt (* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))>
#<alt (* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))>
#<alt (* 2 (+ a c))>
#<alt (+ (* 2 d) (* 2 (+ a c)))>
#<alt (+ (* 2 d) (* 2 (+ a c)))>
#<alt (+ (* 2 d) (* 2 (+ a c)))>
#<alt (* 2 d)>
#<alt (* d (+ 2 (* 2 (/ (+ a c) d))))>
#<alt (* d (+ 2 (* 2 (/ (+ a c) d))))>
#<alt (* d (+ 2 (* 2 (/ (+ a c) d))))>
#<alt (* 2 d)>
#<alt (* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))>
#<alt (* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))>
#<alt (* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))>
#<alt (* 2 (+ c d))>
#<alt (+ (* 2 a) (* 2 (+ c d)))>
#<alt (+ (* 2 a) (* 2 (+ c d)))>
#<alt (+ (* 2 a) (* 2 (+ c d)))>
#<alt (* 2 a)>
#<alt (* a (+ 2 (* 2 (/ (+ c d) a))))>
#<alt (* a (+ 2 (* 2 (/ (+ c d) a))))>
#<alt (* a (+ 2 (* 2 (/ (+ c d) a))))>
#<alt (* 2 a)>
#<alt (* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))>
#<alt (+ a d)>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt c>
#<alt (* c (+ 1 (+ (/ a c) (/ d c))))>
#<alt (* c (+ 1 (+ (/ a c) (/ d c))))>
#<alt (* c (+ 1 (+ (/ a c) (/ d c))))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))>
#<alt (+ a c)>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt d>
#<alt (* d (+ 1 (+ (/ a d) (/ c d))))>
#<alt (* d (+ 1 (+ (/ a d) (/ c d))))>
#<alt (* d (+ 1 (+ (/ a d) (/ c d))))>
#<alt d>
#<alt (* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))>
#<alt (+ c d)>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt a>
#<alt (* a (+ 1 (+ (/ c a) (/ d a))))>
#<alt (* a (+ 1 (+ (/ c a) (/ d a))))>
#<alt (* a (+ 1 (+ (/ c a) (/ d a))))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))>
#<alt a>
#<alt (+ a d)>
#<alt (+ a d)>
#<alt (+ a d)>
#<alt d>
#<alt (* d (+ 1 (/ a d)))>
#<alt (* d (+ 1 (/ a d)))>
#<alt (* d (+ 1 (/ a d)))>
#<alt d>
#<alt (* -1 (* d (- (* -1 (/ a d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ a d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ a d)) 1)))>
#<alt d>
#<alt (+ a d)>
#<alt (+ a d)>
#<alt (+ a d)>
#<alt a>
#<alt (* a (+ 1 (/ d a)))>
#<alt (* a (+ 1 (/ d a)))>
#<alt (* a (+ 1 (/ d a)))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ d a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ d a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ d a)) 1)))>
Calls

90 calls:

TimeVariablePointExpression
8.0ms
b
@inf
(* 2 b)
1.0ms
a
@inf
(+ a (+ c d))
0.0ms
b
@-inf
(* 2 b)
0.0ms
a
@-inf
(* (+ a (+ c d)) 2)
0.0ms
b
@0
(* 2 b)

rewrite1.7s (25.9%)

Memory
14.0MiB live, 481.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 298×lower-*.f32
5 290×lower-*.f64
4 048×lower-/.f64
4 048×lower-/.f32
3 652×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01758
02958
112458
2123158
0817758
Stop Event
iter limit
node limit
iter limit
Counts
12 → 630
Calls
Call 1
Inputs
(*.f64 (+.f64 (+.f64 b c) (+.f64 a d)) #s(literal 2 binary64))
(+.f64 (+.f64 b c) (+.f64 a d))
(+.f64 b c)
(+.f64 a d)
(*.f64 #s(literal 2 binary64) b)
(*.f64 #s(literal 2 binary64) c)
(*.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64))
(+.f64 a (+.f64 c d))
(+.f64 c d)
(*.f64 (+.f64 c (+.f64 d a)) #s(literal 2 binary64))
(+.f64 c (+.f64 d a))
(+.f64 d a)
Outputs
(+.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 a d))))
(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 b c)) (*.f64 #s(literal 2 binary64) (+.f64 a d)))
(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 a d)) (*.f64 #s(literal 2 binary64) (+.f64 b c)))
(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 b (+.f64 c a))) (*.f64 #s(literal 2 binary64) d))
(+.f64 (*.f64 (+.f64 b c) #s(literal 2 binary64)) (*.f64 (+.f64 a d) #s(literal 2 binary64)))
(+.f64 (*.f64 (+.f64 a d) #s(literal 2 binary64)) (*.f64 (+.f64 b c) #s(literal 2 binary64)))
(+.f64 (*.f64 (+.f64 b (+.f64 c a)) #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))
(fma.f64 b #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 a d))))
(fma.f64 (+.f64 b c) #s(literal 2 binary64) (*.f64 (+.f64 a d) #s(literal 2 binary64)))
(fma.f64 (+.f64 a d) #s(literal 2 binary64) (*.f64 (+.f64 b c) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) b (*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 a d))))
(fma.f64 #s(literal 2 binary64) (+.f64 b c) (*.f64 #s(literal 2 binary64) (+.f64 a d)))
(fma.f64 #s(literal 2 binary64) (+.f64 a d) (*.f64 #s(literal 2 binary64) (+.f64 b c)))
(fma.f64 #s(literal 2 binary64) (+.f64 b (+.f64 c a)) (*.f64 #s(literal 2 binary64) d))
(fma.f64 (+.f64 b (+.f64 c a)) #s(literal 2 binary64) (*.f64 d #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (+.f64 b c) (*.f64 (+.f64 b c) (+.f64 b c)) (*.f64 (+.f64 a d) (*.f64 (+.f64 a d) (+.f64 a d))))) (fma.f64 (+.f64 b c) (+.f64 b c) (*.f64 (+.f64 a d) (-.f64 (+.f64 a d) (+.f64 b c)))))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 b (+.f64 c (+.f64 a d))) (+.f64 c (-.f64 b (+.f64 a d))))) (+.f64 c (-.f64 b (+.f64 a d))))
(/.f64 (*.f64 (fma.f64 (+.f64 b c) (*.f64 (+.f64 b c) (+.f64 b c)) (*.f64 (+.f64 a d) (*.f64 (+.f64 a d) (+.f64 a d)))) #s(literal 2 binary64)) (fma.f64 (+.f64 b c) (+.f64 b c) (*.f64 (+.f64 a d) (-.f64 (+.f64 a d) (+.f64 b c)))))
(/.f64 (*.f64 (*.f64 (+.f64 b (+.f64 c (+.f64 a d))) (+.f64 c (-.f64 b (+.f64 a d)))) #s(literal 2 binary64)) (+.f64 c (-.f64 b (+.f64 a d))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (+.f64 b c) (*.f64 (+.f64 b c) (+.f64 b c)) (*.f64 (+.f64 a d) (*.f64 (+.f64 a d) (+.f64 a d)))))) (neg.f64 (fma.f64 (+.f64 b c) (+.f64 b c) (*.f64 (+.f64 a d) (-.f64 (+.f64 a d) (+.f64 b c))))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 b (+.f64 c (+.f64 a d))) (+.f64 c (-.f64 b (+.f64 a d)))))) (neg.f64 (+.f64 c (-.f64 b (+.f64 a d)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (+.f64 b c) (*.f64 (+.f64 b c) (+.f64 b c)) (*.f64 (+.f64 a d) (*.f64 (+.f64 a d) (+.f64 a d)))) #s(literal 2 binary64))) (neg.f64 (fma.f64 (+.f64 b c) (+.f64 b c) (*.f64 (+.f64 a d) (-.f64 (+.f64 a d) (+.f64 b c))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 b (+.f64 c (+.f64 a d))) (+.f64 c (-.f64 b (+.f64 a d)))) #s(literal 2 binary64))) (neg.f64 (+.f64 c (-.f64 b (+.f64 a d)))))
(/.f64 (+.f64 (pow.f64 (*.f64 b #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 a d))) #s(literal 3 binary64))) (fma.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 b #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 a d))) (*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 a d)))) (*.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 a d)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 b c)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 a d)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) (+.f64 b c)) (*.f64 #s(literal 2 binary64) (+.f64 b c)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 a d)) (*.f64 #s(literal 2 binary64) (+.f64 a d))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 b c)) (*.f64 #s(literal 2 binary64) (+.f64 a d))))))
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(/.f64 (fma.f64 (+.f64 c a) (*.f64 (+.f64 c a) (+.f64 c a)) (*.f64 d (*.f64 d d))) (fma.f64 (+.f64 c a) (+.f64 c a) (-.f64 (*.f64 d d) (*.f64 (+.f64 c a) d))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 a d) (-.f64 (+.f64 a d) c) (*.f64 c c)) (fma.f64 (+.f64 a d) (*.f64 (+.f64 a d) (+.f64 a d)) (*.f64 c (*.f64 c c)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 c d) (-.f64 (+.f64 c d) a) (*.f64 a a)) (fma.f64 a (*.f64 a a) (*.f64 (+.f64 c d) (*.f64 (+.f64 c d) (+.f64 c d))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 c (+.f64 a d)) (*.f64 (+.f64 c (+.f64 a d)) (-.f64 c (+.f64 a d)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a (+.f64 c d)) (*.f64 (+.f64 c (+.f64 a d)) (-.f64 a (+.f64 c d)))))
(/.f64 (-.f64 (*.f64 (+.f64 a d) (+.f64 a d)) (*.f64 c c)) (-.f64 (+.f64 a d) c))
(/.f64 (-.f64 (*.f64 (+.f64 c d) (+.f64 c d)) (*.f64 a a)) (-.f64 (+.f64 c d) a))
(/.f64 (-.f64 (*.f64 (+.f64 c a) (+.f64 c a)) (*.f64 d d)) (-.f64 (+.f64 c a) d))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 a d) (-.f64 (+.f64 a d) c) (*.f64 c c)) (fma.f64 (+.f64 a d) (*.f64 (+.f64 a d) (+.f64 a d)) (*.f64 c (*.f64 c c))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (+.f64 c d) (-.f64 (+.f64 c d) a) (*.f64 a a)) (fma.f64 a (*.f64 a a) (*.f64 (+.f64 c d) (*.f64 (+.f64 c d) (+.f64 c d)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 c (+.f64 a d)) (*.f64 (+.f64 c (+.f64 a d)) (-.f64 c (+.f64 a d))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 a (+.f64 c d)) (*.f64 (+.f64 c (+.f64 a d)) (-.f64 a (+.f64 c d))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (+.f64 a d) (*.f64 (+.f64 a d) (+.f64 a d)) (*.f64 c (*.f64 c c))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 a d) (-.f64 (+.f64 a d) c) (*.f64 c c)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (*.f64 a a) (*.f64 (+.f64 c d) (*.f64 (+.f64 c d) (+.f64 c d)))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 c d) (-.f64 (+.f64 c d) a) (*.f64 a a)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 c (+.f64 a d)) (-.f64 c (+.f64 a d))))) (neg.f64 (neg.f64 (-.f64 c (+.f64 a d)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 c (+.f64 a d)) (-.f64 a (+.f64 c d))))) (neg.f64 (neg.f64 (-.f64 a (+.f64 c d)))))
(/.f64 (neg.f64 (fma.f64 (+.f64 c a) (*.f64 (+.f64 c a) (+.f64 c a)) (*.f64 d (*.f64 d d)))) (neg.f64 (fma.f64 (+.f64 c a) (+.f64 c a) (-.f64 (*.f64 d d) (*.f64 (+.f64 c a) d)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 a d) (+.f64 a d)) (*.f64 c c))) (neg.f64 (-.f64 (+.f64 a d) c)))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 c d) (+.f64 c d)) (*.f64 a a))) (neg.f64 (-.f64 (+.f64 c d) a)))
(/.f64 (neg.f64 (-.f64 (*.f64 (+.f64 c a) (+.f64 c a)) (*.f64 d d))) (neg.f64 (-.f64 (+.f64 c a) d)))
(/.f64 (fma.f64 d (*.f64 d d) (*.f64 (+.f64 c a) (*.f64 (+.f64 c a) (+.f64 c a)))) (fma.f64 d d (-.f64 (*.f64 (+.f64 c a) (+.f64 c a)) (*.f64 d (+.f64 c a)))))
(pow.f64 (/.f64 (fma.f64 (+.f64 a d) (-.f64 (+.f64 a d) c) (*.f64 c c)) (fma.f64 (+.f64 a d) (*.f64 (+.f64 a d) (+.f64 a d)) (*.f64 c (*.f64 c c)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 c d) (-.f64 (+.f64 c d) a) (*.f64 a a)) (fma.f64 a (*.f64 a a) (*.f64 (+.f64 c d) (*.f64 (+.f64 c d) (+.f64 c d))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 c (+.f64 a d)) (*.f64 (+.f64 c (+.f64 a d)) (-.f64 c (+.f64 a d)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 a (+.f64 c d)) (*.f64 (+.f64 c (+.f64 a d)) (-.f64 a (+.f64 c d)))) #s(literal -1 binary64))
(*.f64 (fma.f64 (+.f64 a d) (*.f64 (+.f64 a d) (+.f64 a d)) (*.f64 c (*.f64 c c))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 a d) (-.f64 (+.f64 a d) c) (*.f64 c c))))
(*.f64 (fma.f64 a (*.f64 a a) (*.f64 (+.f64 c d) (*.f64 (+.f64 c d) (+.f64 c d)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 c d) (-.f64 (+.f64 c d) a) (*.f64 a a))))
(*.f64 (*.f64 (+.f64 c (+.f64 a d)) (-.f64 c (+.f64 a d))) (/.f64 #s(literal 1 binary64) (-.f64 c (+.f64 a d))))
(*.f64 (*.f64 (+.f64 c (+.f64 a d)) (-.f64 a (+.f64 c d))) (/.f64 #s(literal 1 binary64) (-.f64 a (+.f64 c d))))
(+.f64 a d)
(+.f64 d a)
(-.f64 (/.f64 (*.f64 a a) (-.f64 a d)) (/.f64 (*.f64 d d) (-.f64 a d)))
(-.f64 (/.f64 (*.f64 d d) (-.f64 d a)) (/.f64 (*.f64 a a) (-.f64 d a)))
(/.f64 (fma.f64 a (*.f64 a a) (*.f64 d (*.f64 d d))) (fma.f64 d (-.f64 d a) (*.f64 a a)))
(/.f64 (fma.f64 a (*.f64 a a) (*.f64 d (*.f64 d d))) (fma.f64 a (-.f64 a d) (*.f64 d d)))
(/.f64 (*.f64 (+.f64 a d) (-.f64 a d)) (-.f64 a d))
(/.f64 (*.f64 (+.f64 a d) (-.f64 d a)) (-.f64 d a))
(/.f64 (neg.f64 (fma.f64 a (*.f64 a a) (*.f64 d (*.f64 d d)))) (neg.f64 (fma.f64 d (-.f64 d a) (*.f64 a a))))
(/.f64 (neg.f64 (fma.f64 a (*.f64 a a) (*.f64 d (*.f64 d d)))) (neg.f64 (fma.f64 a (-.f64 a d) (*.f64 d d))))
(/.f64 (neg.f64 (*.f64 (+.f64 a d) (-.f64 a d))) (neg.f64 (-.f64 a d)))
(/.f64 (neg.f64 (*.f64 (+.f64 a d) (-.f64 d a))) (neg.f64 (-.f64 d a)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d (-.f64 d a) (*.f64 a a)) (fma.f64 a (*.f64 a a) (*.f64 d (*.f64 d d)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a d) (*.f64 d d)) (fma.f64 a (*.f64 a a) (*.f64 d (*.f64 d d)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a d) (*.f64 (+.f64 a d) (-.f64 a d))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 d a) (*.f64 (+.f64 a d) (-.f64 d a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 d (-.f64 d a) (*.f64 a a)) (fma.f64 a (*.f64 a a) (*.f64 d (*.f64 d d))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 a (-.f64 a d) (*.f64 d d)) (fma.f64 a (*.f64 a a) (*.f64 d (*.f64 d d))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 a d) (*.f64 (+.f64 a d) (-.f64 a d)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 d a) (*.f64 (+.f64 a d) (-.f64 d a)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (*.f64 a a) (*.f64 d (*.f64 d d))))) (neg.f64 (neg.f64 (fma.f64 d (-.f64 d a) (*.f64 a a)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 a (*.f64 a a) (*.f64 d (*.f64 d d))))) (neg.f64 (neg.f64 (fma.f64 a (-.f64 a d) (*.f64 d d)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 a d) (-.f64 a d)))) (neg.f64 (neg.f64 (-.f64 a d))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 a d) (-.f64 d a)))) (neg.f64 (neg.f64 (-.f64 d a))))
(pow.f64 (/.f64 (fma.f64 d (-.f64 d a) (*.f64 a a)) (fma.f64 a (*.f64 a a) (*.f64 d (*.f64 d d)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 a (-.f64 a d) (*.f64 d d)) (fma.f64 a (*.f64 a a) (*.f64 d (*.f64 d d)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 a d) (*.f64 (+.f64 a d) (-.f64 a d))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 d a) (*.f64 (+.f64 a d) (-.f64 d a))) #s(literal -1 binary64))
(*.f64 (fma.f64 a (*.f64 a a) (*.f64 d (*.f64 d d))) (/.f64 #s(literal 1 binary64) (fma.f64 d (-.f64 d a) (*.f64 a a))))
(*.f64 (fma.f64 a (*.f64 a a) (*.f64 d (*.f64 d d))) (/.f64 #s(literal 1 binary64) (fma.f64 a (-.f64 a d) (*.f64 d d))))
(*.f64 (*.f64 (+.f64 a d) (-.f64 a d)) (/.f64 #s(literal 1 binary64) (-.f64 a d)))
(*.f64 (*.f64 (+.f64 a d) (-.f64 d a)) (/.f64 #s(literal 1 binary64) (-.f64 d a)))

simplify365.0ms (5.7%)

Memory
13.9MiB live, 534.4MiB allocated
Algorithm
egg-herbie
Rules
9 760×lower-fma.f64
9 760×lower-fma.f32
4 048×lower-*.f64
4 048×lower-*.f32
2 030×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01922060
16092060
216492000
351471940
479151940
086791886
Stop Event
iter limit
node limit
Counts
360 → 316
Calls
Call 1
Inputs
(* 2 (+ a (+ c d)))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(* 2 b)
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(* 2 b)
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(* 2 (+ a (+ b d)))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(* 2 c)
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(* 2 c)
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(* 2 (+ b (+ c d)))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(* 2 a)
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(* 2 a)
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(* 2 (+ a (+ b c)))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(* 2 d)
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* 2 d)
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(+ a (+ c d))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
b
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(+ a (+ b d))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
c
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(+ b (+ c d))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
a
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(+ a (+ b c))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
d
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
c
(+ b c)
(+ b c)
(+ b c)
b
(* b (+ 1 (/ c b)))
(* b (+ 1 (/ c b)))
(* b (+ 1 (/ c b)))
b
(* -1 (* b (- (* -1 (/ c b)) 1)))
(* -1 (* b (- (* -1 (/ c b)) 1)))
(* -1 (* b (- (* -1 (/ c b)) 1)))
b
(+ b c)
(+ b c)
(+ b c)
c
(* c (+ 1 (/ b c)))
(* c (+ 1 (/ b c)))
(* c (+ 1 (/ b c)))
c
(* -1 (* c (- (* -1 (/ b c)) 1)))
(* -1 (* c (- (* -1 (/ b c)) 1)))
(* -1 (* c (- (* -1 (/ b c)) 1)))
d
(+ a d)
(+ a d)
(+ a d)
a
(* a (+ 1 (/ d a)))
(* a (+ 1 (/ d a)))
(* a (+ 1 (/ d a)))
a
(* -1 (* a (- (* -1 (/ d a)) 1)))
(* -1 (* a (- (* -1 (/ d a)) 1)))
(* -1 (* a (- (* -1 (/ d a)) 1)))
a
(+ a d)
(+ a d)
(+ a d)
d
(* d (+ 1 (/ a d)))
(* d (+ 1 (/ a d)))
(* d (+ 1 (/ a d)))
d
(* -1 (* d (- (* -1 (/ a d)) 1)))
(* -1 (* d (- (* -1 (/ a d)) 1)))
(* -1 (* d (- (* -1 (/ a d)) 1)))
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 (+ c d))
(+ (* 2 a) (* 2 (+ c d)))
(+ (* 2 a) (* 2 (+ c d)))
(+ (* 2 a) (* 2 (+ c d)))
(* 2 a)
(* a (+ 2 (* 2 (/ (+ c d) a))))
(* a (+ 2 (* 2 (/ (+ c d) a))))
(* a (+ 2 (* 2 (/ (+ c d) a))))
(* 2 a)
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(* 2 (+ a d))
(+ (* 2 c) (* 2 (+ a d)))
(+ (* 2 c) (* 2 (+ a d)))
(+ (* 2 c) (* 2 (+ a d)))
(* 2 c)
(* c (+ 2 (* 2 (/ (+ a d) c))))
(* c (+ 2 (* 2 (/ (+ a d) c))))
(* c (+ 2 (* 2 (/ (+ a d) c))))
(* 2 c)
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(* 2 (+ a c))
(+ (* 2 d) (* 2 (+ a c)))
(+ (* 2 d) (* 2 (+ a c)))
(+ (* 2 d) (* 2 (+ a c)))
(* 2 d)
(* d (+ 2 (* 2 (/ (+ a c) d))))
(* d (+ 2 (* 2 (/ (+ a c) d))))
(* d (+ 2 (* 2 (/ (+ a c) d))))
(* 2 d)
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(+ c d)
(+ a (+ c d))
(+ a (+ c d))
(+ a (+ c d))
a
(* a (+ 1 (+ (/ c a) (/ d a))))
(* a (+ 1 (+ (/ c a) (/ d a))))
(* a (+ 1 (+ (/ c a) (/ d a))))
a
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(+ a d)
(+ a (+ c d))
(+ a (+ c d))
(+ a (+ c d))
c
(* c (+ 1 (+ (/ a c) (/ d c))))
(* c (+ 1 (+ (/ a c) (/ d c))))
(* c (+ 1 (+ (/ a c) (/ d c))))
c
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(+ a c)
(+ a (+ c d))
(+ a (+ c d))
(+ a (+ c d))
d
(* d (+ 1 (+ (/ a d) (/ c d))))
(* d (+ 1 (+ (/ a d) (/ c d))))
(* d (+ 1 (+ (/ a d) (/ c d))))
d
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
d
(+ c d)
(+ c d)
(+ c d)
c
(* c (+ 1 (/ d c)))
(* c (+ 1 (/ d c)))
(* c (+ 1 (/ d c)))
c
(* -1 (* c (- (* -1 (/ d c)) 1)))
(* -1 (* c (- (* -1 (/ d c)) 1)))
(* -1 (* c (- (* -1 (/ d c)) 1)))
c
(+ c d)
(+ c d)
(+ c d)
d
(* d (+ 1 (/ c d)))
(* d (+ 1 (/ c d)))
(* d (+ 1 (/ c d)))
d
(* -1 (* d (- (* -1 (/ c d)) 1)))
(* -1 (* d (- (* -1 (/ c d)) 1)))
(* -1 (* d (- (* -1 (/ c d)) 1)))
(* 2 (+ a d))
(+ (* 2 c) (* 2 (+ a d)))
(+ (* 2 c) (* 2 (+ a d)))
(+ (* 2 c) (* 2 (+ a d)))
(* 2 c)
(* c (+ 2 (* 2 (/ (+ a d) c))))
(* c (+ 2 (* 2 (/ (+ a d) c))))
(* c (+ 2 (* 2 (/ (+ a d) c))))
(* 2 c)
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(* 2 (+ a c))
(+ (* 2 d) (* 2 (+ a c)))
(+ (* 2 d) (* 2 (+ a c)))
(+ (* 2 d) (* 2 (+ a c)))
(* 2 d)
(* d (+ 2 (* 2 (/ (+ a c) d))))
(* d (+ 2 (* 2 (/ (+ a c) d))))
(* d (+ 2 (* 2 (/ (+ a c) d))))
(* 2 d)
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(* 2 (+ c d))
(+ (* 2 a) (* 2 (+ c d)))
(+ (* 2 a) (* 2 (+ c d)))
(+ (* 2 a) (* 2 (+ c d)))
(* 2 a)
(* a (+ 2 (* 2 (/ (+ c d) a))))
(* a (+ 2 (* 2 (/ (+ c d) a))))
(* a (+ 2 (* 2 (/ (+ c d) a))))
(* 2 a)
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(+ a d)
(+ a (+ c d))
(+ a (+ c d))
(+ a (+ c d))
c
(* c (+ 1 (+ (/ a c) (/ d c))))
(* c (+ 1 (+ (/ a c) (/ d c))))
(* c (+ 1 (+ (/ a c) (/ d c))))
c
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(+ a c)
(+ a (+ c d))
(+ a (+ c d))
(+ a (+ c d))
d
(* d (+ 1 (+ (/ a d) (/ c d))))
(* d (+ 1 (+ (/ a d) (/ c d))))
(* d (+ 1 (+ (/ a d) (/ c d))))
d
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(+ c d)
(+ a (+ c d))
(+ a (+ c d))
(+ a (+ c d))
a
(* a (+ 1 (+ (/ c a) (/ d a))))
(* a (+ 1 (+ (/ c a) (/ d a))))
(* a (+ 1 (+ (/ c a) (/ d a))))
a
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
a
(+ a d)
(+ a d)
(+ a d)
d
(* d (+ 1 (/ a d)))
(* d (+ 1 (/ a d)))
(* d (+ 1 (/ a d)))
d
(* -1 (* d (- (* -1 (/ a d)) 1)))
(* -1 (* d (- (* -1 (/ a d)) 1)))
(* -1 (* d (- (* -1 (/ a d)) 1)))
d
(+ a d)
(+ a d)
(+ a d)
a
(* a (+ 1 (/ d a)))
(* a (+ 1 (/ d a)))
(* a (+ 1 (/ d a)))
a
(* -1 (* a (- (* -1 (/ d a)) 1)))
(* -1 (* a (- (* -1 (/ d a)) 1)))
(* -1 (* a (- (* -1 (/ d a)) 1)))
Outputs
(* 2 (+ a (+ c d)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 (+.f64 c d) b)))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 (+.f64 c d) b)))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 (+.f64 c d) b)))
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 (+.f64 c d) b)))
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 (+.f64 c d) b)))
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 (+.f64 c d) b)))
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 (+.f64 c d) b)))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 (+.f64 c d) b)))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 (+.f64 c d) b)))
(* 2 (+ a (+ b d)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 d b)))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 (+.f64 c d) b)))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 (+.f64 c d) b)))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 (+.f64 c d) b)))
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 (+.f64 c d) b)))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 (+.f64 c d) b)))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 (+.f64 c d) b)))
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 (+.f64 c d) b)))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 (+.f64 c d) b)))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 (+.f64 c d) b)))
(* 2 (+ b (+ c d)))
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 c d) b))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 (+.f64 c d) b)))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 (+.f64 c d) b)))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 (+.f64 c d) b)))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 (+.f64 c d) b)))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 (+.f64 c d) b)))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 (+.f64 c d) b)))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 (+.f64 c d) b)))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 (+.f64 c d) b)))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 (+.f64 c d) b)))
(* 2 (+ a (+ b c)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c b)))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 (+.f64 c d) b)))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 (+.f64 c d) b)))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 (+.f64 c d) b)))
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 (+.f64 c d) b)))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 (+.f64 c d) b)))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 (+.f64 c d) b)))
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 (+.f64 c d) b)))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 (+.f64 c d) b)))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 (+.f64 c d) b)))
(+ a (+ c d))
(+.f64 a (+.f64 c d))
(+ a (+ b (+ c d)))
(+.f64 a (+.f64 (+.f64 c d) b))
(+ a (+ b (+ c d)))
(+.f64 a (+.f64 (+.f64 c d) b))
(+ a (+ b (+ c d)))
(+.f64 a (+.f64 (+.f64 c d) b))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(+.f64 b (fma.f64 b (+.f64 (/.f64 a b) (/.f64 d b)) c))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(+.f64 b (fma.f64 b (+.f64 (/.f64 a b) (/.f64 d b)) c))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(+.f64 b (fma.f64 b (+.f64 (/.f64 a b) (/.f64 d b)) c))
b
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(fma.f64 b (/.f64 (+.f64 a (+.f64 c d)) b) b)
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(fma.f64 b (/.f64 (+.f64 a (+.f64 c d)) b) b)
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(fma.f64 b (/.f64 (+.f64 a (+.f64 c d)) b) b)
(+ a (+ b d))
(+.f64 a (+.f64 d b))
(+ a (+ b (+ c d)))
(+.f64 a (+.f64 (+.f64 c d) b))
(+ a (+ b (+ c d)))
(+.f64 a (+.f64 (+.f64 c d) b))
(+ a (+ b (+ c d)))
(+.f64 a (+.f64 (+.f64 c d) b))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(+.f64 d (+.f64 (fma.f64 c (/.f64 a c) c) b))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(+.f64 d (+.f64 (fma.f64 c (/.f64 a c) c) b))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(+.f64 d (+.f64 (fma.f64 c (/.f64 a c) c) b))
c
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(fma.f64 c (/.f64 (+.f64 a (+.f64 d b)) c) c)
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(fma.f64 c (/.f64 (+.f64 a (+.f64 d b)) c) c)
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(fma.f64 c (/.f64 (+.f64 a (+.f64 d b)) c) c)
(+ b (+ c d))
(+.f64 (+.f64 c d) b)
(+ a (+ b (+ c d)))
(+.f64 a (+.f64 (+.f64 c d) b))
(+ a (+ b (+ c d)))
(+.f64 a (+.f64 (+.f64 c d) b))
(+ a (+ b (+ c d)))
(+.f64 a (+.f64 (+.f64 c d) b))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(+.f64 d (fma.f64 a (+.f64 (/.f64 b a) (/.f64 c a)) a))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(+.f64 d (fma.f64 a (+.f64 (/.f64 b a) (/.f64 c a)) a))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(+.f64 d (fma.f64 a (+.f64 (/.f64 b a) (/.f64 c a)) a))
a
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(fma.f64 a (/.f64 (+.f64 (+.f64 c d) b) a) a)
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(fma.f64 a (/.f64 (+.f64 (+.f64 c d) b) a) a)
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(fma.f64 a (/.f64 (+.f64 (+.f64 c d) b) a) a)
(+ a (+ b c))
(+.f64 a (+.f64 c b))
(+ a (+ b (+ c d)))
(+.f64 a (+.f64 (+.f64 c d) b))
(+ a (+ b (+ c d)))
(+.f64 a (+.f64 (+.f64 c d) b))
(+ a (+ b (+ c d)))
(+.f64 a (+.f64 (+.f64 c d) b))
d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(+.f64 a (+.f64 c (fma.f64 d (/.f64 b d) d)))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(+.f64 a (+.f64 c (fma.f64 d (/.f64 b d) d)))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(+.f64 a (+.f64 c (fma.f64 d (/.f64 b d) d)))
d
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(fma.f64 d (/.f64 (+.f64 a (+.f64 c b)) d) d)
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(fma.f64 d (/.f64 (+.f64 a (+.f64 c b)) d) d)
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(fma.f64 d (/.f64 (+.f64 a (+.f64 c b)) d) d)
c
(+ b c)
(+.f64 c b)
(+ b c)
(+.f64 c b)
(+ b c)
(+.f64 c b)
b
(* b (+ 1 (/ c b)))
(+.f64 c b)
(* b (+ 1 (/ c b)))
(+.f64 c b)
(* b (+ 1 (/ c b)))
(+.f64 c b)
b
(* -1 (* b (- (* -1 (/ c b)) 1)))
(+.f64 c b)
(* -1 (* b (- (* -1 (/ c b)) 1)))
(+.f64 c b)
(* -1 (* b (- (* -1 (/ c b)) 1)))
(+.f64 c b)
b
(+ b c)
(+.f64 c b)
(+ b c)
(+.f64 c b)
(+ b c)
(+.f64 c b)
c
(* c (+ 1 (/ b c)))
(+.f64 c b)
(* c (+ 1 (/ b c)))
(+.f64 c b)
(* c (+ 1 (/ b c)))
(+.f64 c b)
c
(* -1 (* c (- (* -1 (/ b c)) 1)))
(+.f64 c b)
(* -1 (* c (- (* -1 (/ b c)) 1)))
(+.f64 c b)
(* -1 (* c (- (* -1 (/ b c)) 1)))
(+.f64 c b)
d
(+ a d)
(+.f64 a d)
(+ a d)
(+.f64 a d)
(+ a d)
(+.f64 a d)
a
(* a (+ 1 (/ d a)))
(+.f64 a d)
(* a (+ 1 (/ d a)))
(+.f64 a d)
(* a (+ 1 (/ d a)))
(+.f64 a d)
a
(* -1 (* a (- (* -1 (/ d a)) 1)))
(+.f64 a d)
(* -1 (* a (- (* -1 (/ d a)) 1)))
(+.f64 a d)
(* -1 (* a (- (* -1 (/ d a)) 1)))
(+.f64 a d)
a
(+ a d)
(+.f64 a d)
(+ a d)
(+.f64 a d)
(+ a d)
(+.f64 a d)
d
(* d (+ 1 (/ a d)))
(+.f64 a d)
(* d (+ 1 (/ a d)))
(+.f64 a d)
(* d (+ 1 (/ a d)))
(+.f64 a d)
d
(* -1 (* d (- (* -1 (/ a d)) 1)))
(+.f64 a d)
(* -1 (* d (- (* -1 (/ a d)) 1)))
(+.f64 a d)
(* -1 (* d (- (* -1 (/ a d)) 1)))
(+.f64 a d)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* 2 (+ c d))
(*.f64 #s(literal 2 binary64) (+.f64 c d))
(+ (* 2 a) (* 2 (+ c d)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(+ (* 2 a) (* 2 (+ c d)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(+ (* 2 a) (* 2 (+ c d)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* a (+ 2 (* 2 (/ (+ c d) a))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* a (+ 2 (* 2 (/ (+ c d) a))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* a (+ 2 (* 2 (/ (+ c d) a))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* 2 (+ a d))
(*.f64 #s(literal 2 binary64) (+.f64 a d))
(+ (* 2 c) (* 2 (+ a d)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(+ (* 2 c) (* 2 (+ a d)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(+ (* 2 c) (* 2 (+ a d)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* c (+ 2 (* 2 (/ (+ a d) c))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* c (+ 2 (* 2 (/ (+ a d) c))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* c (+ 2 (* 2 (/ (+ a d) c))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* 2 (+ a c))
(*.f64 #s(literal 2 binary64) (+.f64 a c))
(+ (* 2 d) (* 2 (+ a c)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(+ (* 2 d) (* 2 (+ a c)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(+ (* 2 d) (* 2 (+ a c)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(* d (+ 2 (* 2 (/ (+ a c) d))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* d (+ 2 (* 2 (/ (+ a c) d))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* d (+ 2 (* 2 (/ (+ a c) d))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(+ c d)
(+.f64 c d)
(+ a (+ c d))
(+.f64 a (+.f64 c d))
(+ a (+ c d))
(+.f64 a (+.f64 c d))
(+ a (+ c d))
(+.f64 a (+.f64 c d))
a
(* a (+ 1 (+ (/ c a) (/ d a))))
(+.f64 a (fma.f64 a (/.f64 c a) d))
(* a (+ 1 (+ (/ c a) (/ d a))))
(+.f64 a (fma.f64 a (/.f64 c a) d))
(* a (+ 1 (+ (/ c a) (/ d a))))
(+.f64 a (fma.f64 a (/.f64 c a) d))
a
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(fma.f64 a (/.f64 (+.f64 c d) a) a)
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(fma.f64 a (/.f64 (+.f64 c d) a) a)
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(fma.f64 a (/.f64 (+.f64 c d) a) a)
(+ a d)
(+.f64 a d)
(+ a (+ c d))
(+.f64 a (+.f64 c d))
(+ a (+ c d))
(+.f64 a (+.f64 c d))
(+ a (+ c d))
(+.f64 a (+.f64 c d))
c
(* c (+ 1 (+ (/ a c) (/ d c))))
(fma.f64 c (/.f64 a c) (+.f64 c d))
(* c (+ 1 (+ (/ a c) (/ d c))))
(fma.f64 c (/.f64 a c) (+.f64 c d))
(* c (+ 1 (+ (/ a c) (/ d c))))
(fma.f64 c (/.f64 a c) (+.f64 c d))
c
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(fma.f64 c (/.f64 (+.f64 a d) c) c)
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(fma.f64 c (/.f64 (+.f64 a d) c) c)
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(fma.f64 c (/.f64 (+.f64 a d) c) c)
(+ a c)
(+.f64 a c)
(+ a (+ c d))
(+.f64 a (+.f64 c d))
(+ a (+ c d))
(+.f64 a (+.f64 c d))
(+ a (+ c d))
(+.f64 a (+.f64 c d))
d
(* d (+ 1 (+ (/ a d) (/ c d))))
(+.f64 a (+.f64 c d))
(* d (+ 1 (+ (/ a d) (/ c d))))
(+.f64 a (+.f64 c d))
(* d (+ 1 (+ (/ a d) (/ c d))))
(+.f64 a (+.f64 c d))
d
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(fma.f64 d (/.f64 (+.f64 a c) d) d)
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(fma.f64 d (/.f64 (+.f64 a c) d) d)
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(fma.f64 d (/.f64 (+.f64 a c) d) d)
d
(+ c d)
(+.f64 c d)
(+ c d)
(+.f64 c d)
(+ c d)
(+.f64 c d)
c
(* c (+ 1 (/ d c)))
(+.f64 c d)
(* c (+ 1 (/ d c)))
(+.f64 c d)
(* c (+ 1 (/ d c)))
(+.f64 c d)
c
(* -1 (* c (- (* -1 (/ d c)) 1)))
(+.f64 c d)
(* -1 (* c (- (* -1 (/ d c)) 1)))
(+.f64 c d)
(* -1 (* c (- (* -1 (/ d c)) 1)))
(+.f64 c d)
c
(+ c d)
(+.f64 c d)
(+ c d)
(+.f64 c d)
(+ c d)
(+.f64 c d)
d
(* d (+ 1 (/ c d)))
(+.f64 c d)
(* d (+ 1 (/ c d)))
(+.f64 c d)
(* d (+ 1 (/ c d)))
(+.f64 c d)
d
(* -1 (* d (- (* -1 (/ c d)) 1)))
(+.f64 c d)
(* -1 (* d (- (* -1 (/ c d)) 1)))
(+.f64 c d)
(* -1 (* d (- (* -1 (/ c d)) 1)))
(+.f64 c d)
(* 2 (+ a d))
(*.f64 #s(literal 2 binary64) (+.f64 a d))
(+ (* 2 c) (* 2 (+ a d)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(+ (* 2 c) (* 2 (+ a d)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(+ (* 2 c) (* 2 (+ a d)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* c (+ 2 (* 2 (/ (+ a d) c))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* c (+ 2 (* 2 (/ (+ a d) c))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* c (+ 2 (* 2 (/ (+ a d) c))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* 2 (+ a c))
(*.f64 #s(literal 2 binary64) (+.f64 a c))
(+ (* 2 d) (* 2 (+ a c)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(+ (* 2 d) (* 2 (+ a c)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(+ (* 2 d) (* 2 (+ a c)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(* d (+ 2 (* 2 (/ (+ a c) d))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* d (+ 2 (* 2 (/ (+ a c) d))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* d (+ 2 (* 2 (/ (+ a c) d))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* 2 (+ c d))
(*.f64 #s(literal 2 binary64) (+.f64 c d))
(+ (* 2 a) (* 2 (+ c d)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(+ (* 2 a) (* 2 (+ c d)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(+ (* 2 a) (* 2 (+ c d)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* a (+ 2 (* 2 (/ (+ c d) a))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* a (+ 2 (* 2 (/ (+ c d) a))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* a (+ 2 (* 2 (/ (+ c d) a))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(+ a d)
(+.f64 a d)
(+ a (+ c d))
(+.f64 a (+.f64 c d))
(+ a (+ c d))
(+.f64 a (+.f64 c d))
(+ a (+ c d))
(+.f64 a (+.f64 c d))
c
(* c (+ 1 (+ (/ a c) (/ d c))))
(fma.f64 c (/.f64 a c) (+.f64 c d))
(* c (+ 1 (+ (/ a c) (/ d c))))
(fma.f64 c (/.f64 a c) (+.f64 c d))
(* c (+ 1 (+ (/ a c) (/ d c))))
(fma.f64 c (/.f64 a c) (+.f64 c d))
c
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(fma.f64 c (/.f64 (+.f64 a d) c) c)
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(fma.f64 c (/.f64 (+.f64 a d) c) c)
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(fma.f64 c (/.f64 (+.f64 a d) c) c)
(+ a c)
(+.f64 a c)
(+ a (+ c d))
(+.f64 a (+.f64 c d))
(+ a (+ c d))
(+.f64 a (+.f64 c d))
(+ a (+ c d))
(+.f64 a (+.f64 c d))
d
(* d (+ 1 (+ (/ a d) (/ c d))))
(+.f64 a (+.f64 c d))
(* d (+ 1 (+ (/ a d) (/ c d))))
(+.f64 a (+.f64 c d))
(* d (+ 1 (+ (/ a d) (/ c d))))
(+.f64 a (+.f64 c d))
d
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(fma.f64 d (/.f64 (+.f64 a c) d) d)
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(fma.f64 d (/.f64 (+.f64 a c) d) d)
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(fma.f64 d (/.f64 (+.f64 a c) d) d)
(+ c d)
(+.f64 c d)
(+ a (+ c d))
(+.f64 a (+.f64 c d))
(+ a (+ c d))
(+.f64 a (+.f64 c d))
(+ a (+ c d))
(+.f64 a (+.f64 c d))
a
(* a (+ 1 (+ (/ c a) (/ d a))))
(+.f64 a (fma.f64 a (/.f64 c a) d))
(* a (+ 1 (+ (/ c a) (/ d a))))
(+.f64 a (fma.f64 a (/.f64 c a) d))
(* a (+ 1 (+ (/ c a) (/ d a))))
(+.f64 a (fma.f64 a (/.f64 c a) d))
a
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(fma.f64 a (/.f64 (+.f64 c d) a) a)
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(fma.f64 a (/.f64 (+.f64 c d) a) a)
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(fma.f64 a (/.f64 (+.f64 c d) a) a)
a
(+ a d)
(+.f64 a d)
(+ a d)
(+.f64 a d)
(+ a d)
(+.f64 a d)
d
(* d (+ 1 (/ a d)))
(+.f64 a d)
(* d (+ 1 (/ a d)))
(+.f64 a d)
(* d (+ 1 (/ a d)))
(+.f64 a d)
d
(* -1 (* d (- (* -1 (/ a d)) 1)))
(+.f64 a d)
(* -1 (* d (- (* -1 (/ a d)) 1)))
(+.f64 a d)
(* -1 (* d (- (* -1 (/ a d)) 1)))
(+.f64 a d)
d
(+ a d)
(+.f64 a d)
(+ a d)
(+.f64 a d)
(+ a d)
(+.f64 a d)
a
(* a (+ 1 (/ d a)))
(+.f64 a d)
(* a (+ 1 (/ d a)))
(+.f64 a d)
(* a (+ 1 (/ d a)))
(+.f64 a d)
a
(* -1 (* a (- (* -1 (/ d a)) 1)))
(+.f64 a d)
(* -1 (* a (- (* -1 (/ d a)) 1)))
(+.f64 a d)
(* -1 (* a (- (* -1 (/ d a)) 1)))
(+.f64 a d)

eval173.0ms (2.7%)

Memory
-32.5MiB live, 280.4MiB allocated
Compiler

Compiled 23 308 to 2 077 computations (91.1% saved)

prune90.0ms (1.4%)

Memory
12.2MiB live, 250.3MiB allocated
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New9442946
Fresh000
Picked055
Done000
Total9447951
Accuracy
100.0%
Counts
951 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.7%
(*.f64 (+.f64 (+.f64 c a) d) #s(literal 2 binary64))
100.0%
(*.f64 (+.f64 (+.f64 b c) (+.f64 a d)) #s(literal 2 binary64))
11.7%
(*.f64 (+.f64 c (+.f64 d a)) #s(literal 2 binary64))
11.7%
(*.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64))
9.7%
(*.f64 (+.f64 a d) #s(literal 2 binary64))
11.6%
(*.f64 #s(literal 2 binary64) c)
6.3%
(*.f64 #s(literal 2 binary64) b)
Compiler

Compiled 69 to 52 computations (24.6% saved)

simplify7.0ms (0.1%)

Memory
-24.2MiB live, 15.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 c a)
cost-diff0
(+.f64 (+.f64 c a) d)
cost-diff0
(*.f64 (+.f64 (+.f64 c a) d) #s(literal 2 binary64))
cost-diff0
(+.f64 a d)
cost-diff0
(*.f64 (+.f64 a d) #s(literal 2 binary64))
Rules
48×lower-fma.f64
48×lower-fma.f32
48×lower-+.f32
42×lower-+.f64
28×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0930
01430
12030
24430
38130
48330
08330
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (+.f64 a d) #s(literal 2 binary64))
(+.f64 a d)
a
d
#s(literal 2 binary64)
(*.f64 (+.f64 (+.f64 c a) d) #s(literal 2 binary64))
(+.f64 (+.f64 c a) d)
(+.f64 c a)
c
a
d
#s(literal 2 binary64)
Outputs
(*.f64 (+.f64 a d) #s(literal 2 binary64))
(+.f64 a d)
a
d
#s(literal 2 binary64)
(*.f64 (+.f64 (+.f64 c a) d) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 d (+.f64 a c)))
(+.f64 (+.f64 c a) d)
(+.f64 d (+.f64 a c))
(+.f64 c a)
(+.f64 a c)
c
a
d
#s(literal 2 binary64)

localize27.0ms (0.4%)

Memory
-9.2MiB live, 70.5MiB allocated
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 c a)
accuracy100.0%
(*.f64 (+.f64 (+.f64 c a) d) #s(literal 2 binary64))
accuracy98.5%
(+.f64 (+.f64 c a) d)
accuracy100.0%
(+.f64 a d)
accuracy100.0%
(*.f64 (+.f64 a d) #s(literal 2 binary64))
Samples
17.0ms256×0valid
Compiler

Compiled 32 to 12 computations (62.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 3.0ms (46% of total)
ival-mult: 3.0ms (46% 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%)

Memory
8.8MiB live, 8.8MiB allocated
Counts
5 → 144
Calls
Call 1
Inputs
#<alt (*.f64 (+.f64 a d) #s(literal 2 binary64))>
#<alt (+.f64 a d)>
#<alt (*.f64 (+.f64 (+.f64 c a) d) #s(literal 2 binary64))>
#<alt (+.f64 (+.f64 c a) d)>
#<alt (+.f64 c a)>
Outputs
#<alt (* 2 d)>
#<alt (+ (* 2 a) (* 2 d))>
#<alt (+ (* 2 a) (* 2 d))>
#<alt (+ (* 2 a) (* 2 d))>
#<alt (* 2 a)>
#<alt (* a (+ 2 (* 2 (/ d a))))>
#<alt (* a (+ 2 (* 2 (/ d a))))>
#<alt (* a (+ 2 (* 2 (/ d a))))>
#<alt (* 2 a)>
#<alt (* -1 (* a (- (* -2 (/ d a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ d a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ d a)) 2)))>
#<alt (* 2 a)>
#<alt (+ (* 2 a) (* 2 d))>
#<alt (+ (* 2 a) (* 2 d))>
#<alt (+ (* 2 a) (* 2 d))>
#<alt (* 2 d)>
#<alt (* d (+ 2 (* 2 (/ a d))))>
#<alt (* d (+ 2 (* 2 (/ a d))))>
#<alt (* d (+ 2 (* 2 (/ a d))))>
#<alt (* 2 d)>
#<alt (* -1 (* d (- (* -2 (/ a d)) 2)))>
#<alt (* -1 (* d (- (* -2 (/ a d)) 2)))>
#<alt (* -1 (* d (- (* -2 (/ a d)) 2)))>
#<alt d>
#<alt (+ a d)>
#<alt (+ a d)>
#<alt (+ a d)>
#<alt a>
#<alt (* a (+ 1 (/ d a)))>
#<alt (* a (+ 1 (/ d a)))>
#<alt (* a (+ 1 (/ d a)))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ d a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ d a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ d a)) 1)))>
#<alt a>
#<alt (+ a d)>
#<alt (+ a d)>
#<alt (+ a d)>
#<alt d>
#<alt (* d (+ 1 (/ a d)))>
#<alt (* d (+ 1 (/ a d)))>
#<alt (* d (+ 1 (/ a d)))>
#<alt d>
#<alt (* -1 (* d (- (* -1 (/ a d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ a d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ a d)) 1)))>
#<alt (* 2 (+ a d))>
#<alt (+ (* 2 c) (* 2 (+ a d)))>
#<alt (+ (* 2 c) (* 2 (+ a d)))>
#<alt (+ (* 2 c) (* 2 (+ a d)))>
#<alt (* 2 c)>
#<alt (* c (+ 2 (* 2 (/ (+ a d) c))))>
#<alt (* c (+ 2 (* 2 (/ (+ a d) c))))>
#<alt (* c (+ 2 (* 2 (/ (+ a d) c))))>
#<alt (* 2 c)>
#<alt (* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))>
#<alt (* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))>
#<alt (* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))>
#<alt (* 2 (+ c d))>
#<alt (+ (* 2 a) (* 2 (+ c d)))>
#<alt (+ (* 2 a) (* 2 (+ c d)))>
#<alt (+ (* 2 a) (* 2 (+ c d)))>
#<alt (* 2 a)>
#<alt (* a (+ 2 (* 2 (/ (+ c d) a))))>
#<alt (* a (+ 2 (* 2 (/ (+ c d) a))))>
#<alt (* a (+ 2 (* 2 (/ (+ c d) a))))>
#<alt (* 2 a)>
#<alt (* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))>
#<alt (* 2 (+ a c))>
#<alt (+ (* 2 d) (* 2 (+ a c)))>
#<alt (+ (* 2 d) (* 2 (+ a c)))>
#<alt (+ (* 2 d) (* 2 (+ a c)))>
#<alt (* 2 d)>
#<alt (* d (+ 2 (* 2 (/ (+ a c) d))))>
#<alt (* d (+ 2 (* 2 (/ (+ a c) d))))>
#<alt (* d (+ 2 (* 2 (/ (+ a c) d))))>
#<alt (* 2 d)>
#<alt (* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))>
#<alt (* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))>
#<alt (* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))>
#<alt (+ a d)>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt c>
#<alt (* c (+ 1 (+ (/ a c) (/ d c))))>
#<alt (* c (+ 1 (+ (/ a c) (/ d c))))>
#<alt (* c (+ 1 (+ (/ a c) (/ d c))))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))>
#<alt (+ c d)>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt a>
#<alt (* a (+ 1 (+ (/ c a) (/ d a))))>
#<alt (* a (+ 1 (+ (/ c a) (/ d a))))>
#<alt (* a (+ 1 (+ (/ c a) (/ d a))))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))>
#<alt (+ a c)>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt d>
#<alt (* d (+ 1 (+ (/ a d) (/ c d))))>
#<alt (* d (+ 1 (+ (/ a d) (/ c d))))>
#<alt (* d (+ 1 (+ (/ a d) (/ c d))))>
#<alt d>
#<alt (* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))>
#<alt a>
#<alt (+ a c)>
#<alt (+ a c)>
#<alt (+ a c)>
#<alt c>
#<alt (* c (+ 1 (/ a c)))>
#<alt (* c (+ 1 (/ a c)))>
#<alt (* c (+ 1 (/ a c)))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ a c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ a c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ a c)) 1)))>
#<alt c>
#<alt (+ a c)>
#<alt (+ a c)>
#<alt (+ a c)>
#<alt a>
#<alt (* a (+ 1 (/ c a)))>
#<alt (* a (+ 1 (/ c a)))>
#<alt (* a (+ 1 (/ c a)))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ c a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ c a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ c a)) 1)))>
Calls

36 calls:

TimeVariablePointExpression
0.0ms
d
@inf
(* (+ a d) 2)
0.0ms
a
@0
(* (+ a d) 2)
0.0ms
a
@-inf
(* (+ a d) 2)
0.0ms
a
@inf
(* (+ a d) 2)
0.0ms
d
@-inf
(* (+ a d) 2)

rewrite319.0ms (5%)

Memory
2.1MiB live, 397.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 592×lower-*.f32
4 588×lower-*.f64
3 896×lower-fma.f64
3 896×lower-fma.f32
3 204×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
01423
15323
243723
3663523
0840623
Stop Event
iter limit
node limit
iter limit
Counts
5 → 351
Calls
Call 1
Inputs
(*.f64 (+.f64 a d) #s(literal 2 binary64))
(+.f64 a d)
(*.f64 (+.f64 (+.f64 c a) d) #s(literal 2 binary64))
(+.f64 (+.f64 c a) d)
(+.f64 c a)
Outputs
(+.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))
(+.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))
(fma.f64 a #s(literal 2 binary64) (*.f64 d #s(literal 2 binary64)))
(fma.f64 d #s(literal 2 binary64) (*.f64 a #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) a (*.f64 d #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) d (*.f64 a #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a d)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a d) (*.f64 d d)) (*.f64 #s(literal 2 binary64) (fma.f64 a (*.f64 a a) (*.f64 d (*.f64 d d))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a d) (*.f64 (+.f64 a d) (*.f64 (-.f64 a d) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 a (*.f64 a a) (*.f64 d (*.f64 d d)))) (fma.f64 a (-.f64 a d) (*.f64 d d)))
(/.f64 (*.f64 (+.f64 a d) (*.f64 (-.f64 a d) #s(literal 2 binary64))) (-.f64 a d))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (fma.f64 a (*.f64 a a) (*.f64 d (*.f64 d d))))) (neg.f64 (fma.f64 a (-.f64 a d) (*.f64 d d))))
(/.f64 (neg.f64 (*.f64 (+.f64 a d) (*.f64 (-.f64 a d) #s(literal 2 binary64)))) (neg.f64 (-.f64 a d)))
(/.f64 (+.f64 (pow.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 d #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))) (-.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))) (-.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (fma.f64 a (*.f64 a a) (*.f64 d (*.f64 d d))))) (neg.f64 (fma.f64 a (-.f64 a d) (*.f64 d d))))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (+.f64 a d) (-.f64 a d)))) (neg.f64 (-.f64 a d)))
(/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 a d) (-.f64 d a))) (-.f64 d a))
(/.f64 (*.f64 (neg.f64 (fma.f64 a (*.f64 a a) (*.f64 d (*.f64 d d)))) #s(literal 2 binary64)) (neg.f64 (fma.f64 a (-.f64 a d) (*.f64 d d))))
(/.f64 (*.f64 (neg.f64 (*.f64 (+.f64 a d) (-.f64 a d))) #s(literal 2 binary64)) (neg.f64 (-.f64 a d)))
(/.f64 (*.f64 (*.f64 (+.f64 a d) (-.f64 d a)) #s(literal 2 binary64)) (-.f64 d a))
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(/.f64 (neg.f64 (*.f64 (+.f64 a c) (-.f64 a c))) (neg.f64 (-.f64 a c)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 c c) (-.f64 c a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 a a) (-.f64 c a)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 c c) (-.f64 c a)) (/.f64 (*.f64 c c) (-.f64 c a)) (fma.f64 (/.f64 (*.f64 a a) (-.f64 c a)) (/.f64 (*.f64 a a) (-.f64 c a)) (*.f64 (/.f64 (*.f64 c c) (-.f64 c a)) (/.f64 (*.f64 a a) (-.f64 c a))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 c c) (-.f64 c a)) (/.f64 (*.f64 c c) (-.f64 c a))) (*.f64 (/.f64 (*.f64 a a) (-.f64 c a)) (/.f64 (*.f64 a a) (-.f64 c a)))) (fma.f64 c (/.f64 c (-.f64 c a)) (/.f64 (*.f64 a a) (-.f64 c a))))
(/.f64 (*.f64 (fma.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 c (-.f64 c a))))) (fma.f64 c (*.f64 (*.f64 c c) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 a (*.f64 a a)) (-.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))))
(/.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 c (*.f64 c c))) (*.f64 (fma.f64 a (+.f64 a c) (*.f64 c c)) (-.f64 c a))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 c (-.f64 c a))))) (*.f64 (fma.f64 a (+.f64 a c) (*.f64 c c)) (-.f64 c a)))
(/.f64 (*.f64 (*.f64 (fma.f64 a (*.f64 a a) (*.f64 c (*.f64 c c))) (*.f64 (fma.f64 a (+.f64 a c) (*.f64 c c)) (-.f64 c a))) (/.f64 #s(literal 1 binary64) (-.f64 c a))) (fma.f64 c (*.f64 c (*.f64 c c)) (*.f64 (*.f64 a a) (fma.f64 a a (*.f64 c c)))))
(/.f64 (*.f64 (*.f64 (fma.f64 a a (*.f64 c c)) (*.f64 (+.f64 a c) (-.f64 c a))) (/.f64 #s(literal 1 binary64) (-.f64 c a))) (fma.f64 a a (*.f64 c c)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 a c)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a c)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 a c) (*.f64 (+.f64 a c) (-.f64 a c))) #s(literal -1 binary64))
(*.f64 (+.f64 a c) (*.f64 (-.f64 c a) (/.f64 #s(literal 1 binary64) (-.f64 c a))))
(*.f64 (+.f64 a c) (/.f64 (-.f64 c a) (-.f64 c a)))
(*.f64 (fma.f64 a (*.f64 a a) (*.f64 c (*.f64 c c))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 c (-.f64 c a)))))
(*.f64 (fma.f64 a a (*.f64 c (-.f64 c a))) (*.f64 (+.f64 a c) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 c (-.f64 c a))))))
(*.f64 (fma.f64 a a (*.f64 c (-.f64 c a))) (/.f64 (+.f64 a c) (fma.f64 a a (*.f64 c (-.f64 c a)))))
(*.f64 (*.f64 (+.f64 a c) (-.f64 c a)) (/.f64 #s(literal 1 binary64) (-.f64 c a)))
(*.f64 (neg.f64 (fma.f64 a (*.f64 a a) (*.f64 c (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a a (*.f64 c (-.f64 c a))))))
(*.f64 (neg.f64 (*.f64 (+.f64 a c) (-.f64 c a))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 c a))))
(*.f64 #s(literal 1 binary64) (+.f64 a c))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 c (-.f64 c a)))) (fma.f64 a (*.f64 a a) (*.f64 c (*.f64 c c))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 c a)) (*.f64 (+.f64 a c) (-.f64 c a)))
(*.f64 (*.f64 (+.f64 a c) (-.f64 a c)) (/.f64 #s(literal 1 binary64) (-.f64 a c)))
(*.f64 (/.f64 (*.f64 (+.f64 a c) (-.f64 c a)) (*.f64 (+.f64 a c) (-.f64 c a))) (+.f64 a c))
(*.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 c (*.f64 c c))) (fma.f64 (*.f64 a (-.f64 a c)) (*.f64 (*.f64 a a) (*.f64 (-.f64 a c) (-.f64 a c))) (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))))) (fma.f64 (*.f64 a (-.f64 a c)) (-.f64 (*.f64 a (-.f64 a c)) (*.f64 c c)) (*.f64 c (*.f64 c (*.f64 c c)))))
(*.f64 (/.f64 (fma.f64 a (*.f64 a a) (*.f64 c (*.f64 c c))) (*.f64 (fma.f64 a a (*.f64 c (-.f64 c a))) (-.f64 (*.f64 c c) (*.f64 a (-.f64 a c))))) (-.f64 (*.f64 c c) (*.f64 a (-.f64 a c))))
(*.f64 (/.f64 (*.f64 (+.f64 a c) (-.f64 c a)) (*.f64 (fma.f64 a (+.f64 a c) (*.f64 c c)) (-.f64 c a))) (fma.f64 a (+.f64 a c) (*.f64 c c)))

simplify257.0ms (4%)

Memory
22.9MiB live, 375.1MiB allocated
Algorithm
egg-herbie
Rules
7 266×lower-fma.f64
7 266×lower-fma.f32
3 086×lower-*.f64
3 086×lower-*.f32
1 696×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0110600
1340600
2836600
32515600
45237600
57362600
08094600
Stop Event
iter limit
node limit
Counts
144 → 126
Calls
Call 1
Inputs
(* 2 d)
(+ (* 2 a) (* 2 d))
(+ (* 2 a) (* 2 d))
(+ (* 2 a) (* 2 d))
(* 2 a)
(* a (+ 2 (* 2 (/ d a))))
(* a (+ 2 (* 2 (/ d a))))
(* a (+ 2 (* 2 (/ d a))))
(* 2 a)
(* -1 (* a (- (* -2 (/ d a)) 2)))
(* -1 (* a (- (* -2 (/ d a)) 2)))
(* -1 (* a (- (* -2 (/ d a)) 2)))
(* 2 a)
(+ (* 2 a) (* 2 d))
(+ (* 2 a) (* 2 d))
(+ (* 2 a) (* 2 d))
(* 2 d)
(* d (+ 2 (* 2 (/ a d))))
(* d (+ 2 (* 2 (/ a d))))
(* d (+ 2 (* 2 (/ a d))))
(* 2 d)
(* -1 (* d (- (* -2 (/ a d)) 2)))
(* -1 (* d (- (* -2 (/ a d)) 2)))
(* -1 (* d (- (* -2 (/ a d)) 2)))
d
(+ a d)
(+ a d)
(+ a d)
a
(* a (+ 1 (/ d a)))
(* a (+ 1 (/ d a)))
(* a (+ 1 (/ d a)))
a
(* -1 (* a (- (* -1 (/ d a)) 1)))
(* -1 (* a (- (* -1 (/ d a)) 1)))
(* -1 (* a (- (* -1 (/ d a)) 1)))
a
(+ a d)
(+ a d)
(+ a d)
d
(* d (+ 1 (/ a d)))
(* d (+ 1 (/ a d)))
(* d (+ 1 (/ a d)))
d
(* -1 (* d (- (* -1 (/ a d)) 1)))
(* -1 (* d (- (* -1 (/ a d)) 1)))
(* -1 (* d (- (* -1 (/ a d)) 1)))
(* 2 (+ a d))
(+ (* 2 c) (* 2 (+ a d)))
(+ (* 2 c) (* 2 (+ a d)))
(+ (* 2 c) (* 2 (+ a d)))
(* 2 c)
(* c (+ 2 (* 2 (/ (+ a d) c))))
(* c (+ 2 (* 2 (/ (+ a d) c))))
(* c (+ 2 (* 2 (/ (+ a d) c))))
(* 2 c)
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(* 2 (+ c d))
(+ (* 2 a) (* 2 (+ c d)))
(+ (* 2 a) (* 2 (+ c d)))
(+ (* 2 a) (* 2 (+ c d)))
(* 2 a)
(* a (+ 2 (* 2 (/ (+ c d) a))))
(* a (+ 2 (* 2 (/ (+ c d) a))))
(* a (+ 2 (* 2 (/ (+ c d) a))))
(* 2 a)
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(* 2 (+ a c))
(+ (* 2 d) (* 2 (+ a c)))
(+ (* 2 d) (* 2 (+ a c)))
(+ (* 2 d) (* 2 (+ a c)))
(* 2 d)
(* d (+ 2 (* 2 (/ (+ a c) d))))
(* d (+ 2 (* 2 (/ (+ a c) d))))
(* d (+ 2 (* 2 (/ (+ a c) d))))
(* 2 d)
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(+ a d)
(+ a (+ c d))
(+ a (+ c d))
(+ a (+ c d))
c
(* c (+ 1 (+ (/ a c) (/ d c))))
(* c (+ 1 (+ (/ a c) (/ d c))))
(* c (+ 1 (+ (/ a c) (/ d c))))
c
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(+ c d)
(+ a (+ c d))
(+ a (+ c d))
(+ a (+ c d))
a
(* a (+ 1 (+ (/ c a) (/ d a))))
(* a (+ 1 (+ (/ c a) (/ d a))))
(* a (+ 1 (+ (/ c a) (/ d a))))
a
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(+ a c)
(+ a (+ c d))
(+ a (+ c d))
(+ a (+ c d))
d
(* d (+ 1 (+ (/ a d) (/ c d))))
(* d (+ 1 (+ (/ a d) (/ c d))))
(* d (+ 1 (+ (/ a d) (/ c d))))
d
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
a
(+ a c)
(+ a c)
(+ a c)
c
(* c (+ 1 (/ a c)))
(* c (+ 1 (/ a c)))
(* c (+ 1 (/ a c)))
c
(* -1 (* c (- (* -1 (/ a c)) 1)))
(* -1 (* c (- (* -1 (/ a c)) 1)))
(* -1 (* c (- (* -1 (/ a c)) 1)))
c
(+ a c)
(+ a c)
(+ a c)
a
(* a (+ 1 (/ c a)))
(* a (+ 1 (/ c a)))
(* a (+ 1 (/ c a)))
a
(* -1 (* a (- (* -1 (/ c a)) 1)))
(* -1 (* a (- (* -1 (/ c a)) 1)))
(* -1 (* a (- (* -1 (/ c a)) 1)))
Outputs
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(+ (* 2 a) (* 2 d))
(*.f64 #s(literal 2 binary64) (+.f64 d a))
(+ (* 2 a) (* 2 d))
(*.f64 #s(literal 2 binary64) (+.f64 d a))
(+ (* 2 a) (* 2 d))
(*.f64 #s(literal 2 binary64) (+.f64 d a))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* a (+ 2 (* 2 (/ d a))))
(*.f64 #s(literal 2 binary64) (+.f64 d a))
(* a (+ 2 (* 2 (/ d a))))
(*.f64 #s(literal 2 binary64) (+.f64 d a))
(* a (+ 2 (* 2 (/ d a))))
(*.f64 #s(literal 2 binary64) (+.f64 d a))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* -1 (* a (- (* -2 (/ d a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 d a))
(* -1 (* a (- (* -2 (/ d a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 d a))
(* -1 (* a (- (* -2 (/ d a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 d a))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(+ (* 2 a) (* 2 d))
(*.f64 #s(literal 2 binary64) (+.f64 d a))
(+ (* 2 a) (* 2 d))
(*.f64 #s(literal 2 binary64) (+.f64 d a))
(+ (* 2 a) (* 2 d))
(*.f64 #s(literal 2 binary64) (+.f64 d a))
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(* d (+ 2 (* 2 (/ a d))))
(*.f64 #s(literal 2 binary64) (+.f64 d a))
(* d (+ 2 (* 2 (/ a d))))
(*.f64 #s(literal 2 binary64) (+.f64 d a))
(* d (+ 2 (* 2 (/ a d))))
(*.f64 #s(literal 2 binary64) (+.f64 d a))
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(* -1 (* d (- (* -2 (/ a d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 d a))
(* -1 (* d (- (* -2 (/ a d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 d a))
(* -1 (* d (- (* -2 (/ a d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 d a))
d
(+ a d)
(+.f64 d a)
(+ a d)
(+.f64 d a)
(+ a d)
(+.f64 d a)
a
(* a (+ 1 (/ d a)))
(+.f64 d a)
(* a (+ 1 (/ d a)))
(+.f64 d a)
(* a (+ 1 (/ d a)))
(+.f64 d a)
a
(* -1 (* a (- (* -1 (/ d a)) 1)))
(+.f64 d a)
(* -1 (* a (- (* -1 (/ d a)) 1)))
(+.f64 d a)
(* -1 (* a (- (* -1 (/ d a)) 1)))
(+.f64 d a)
a
(+ a d)
(+.f64 d a)
(+ a d)
(+.f64 d a)
(+ a d)
(+.f64 d a)
d
(* d (+ 1 (/ a d)))
(+.f64 d a)
(* d (+ 1 (/ a d)))
(+.f64 d a)
(* d (+ 1 (/ a d)))
(+.f64 d a)
d
(* -1 (* d (- (* -1 (/ a d)) 1)))
(+.f64 d a)
(* -1 (* d (- (* -1 (/ a d)) 1)))
(+.f64 d a)
(* -1 (* d (- (* -1 (/ a d)) 1)))
(+.f64 d a)
(* 2 (+ a d))
(*.f64 #s(literal 2 binary64) (+.f64 d a))
(+ (* 2 c) (* 2 (+ a d)))
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 d a) c))
(+ (* 2 c) (* 2 (+ a d)))
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 d a) c))
(+ (* 2 c) (* 2 (+ a d)))
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 d a) c))
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* c (+ 2 (* 2 (/ (+ a d) c))))
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 d a) c))
(* c (+ 2 (* 2 (/ (+ a d) c))))
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 d a) c))
(* c (+ 2 (* 2 (/ (+ a d) c))))
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 d a) c))
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 d a) c))
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 d a) c))
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 d a) c))
(* 2 (+ c d))
(*.f64 #s(literal 2 binary64) (+.f64 d c))
(+ (* 2 a) (* 2 (+ c d)))
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 d a) c))
(+ (* 2 a) (* 2 (+ c d)))
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 d a) c))
(+ (* 2 a) (* 2 (+ c d)))
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 d a) c))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* a (+ 2 (* 2 (/ (+ c d) a))))
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 d a) c))
(* a (+ 2 (* 2 (/ (+ c d) a))))
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 d a) c))
(* a (+ 2 (* 2 (/ (+ c d) a))))
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 d a) c))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 d a) c))
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 d a) c))
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 d a) c))
(* 2 (+ a c))
(*.f64 #s(literal 2 binary64) (+.f64 a c))
(+ (* 2 d) (* 2 (+ a c)))
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 d a) c))
(+ (* 2 d) (* 2 (+ a c)))
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 d a) c))
(+ (* 2 d) (* 2 (+ a c)))
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 d a) c))
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(* d (+ 2 (* 2 (/ (+ a c) d))))
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 d a) c))
(* d (+ 2 (* 2 (/ (+ a c) d))))
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 d a) c))
(* d (+ 2 (* 2 (/ (+ a c) d))))
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 d a) c))
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 d a) c))
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 d a) c))
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 d a) c))
(+ a d)
(+.f64 d a)
(+ a (+ c d))
(+.f64 (+.f64 d a) c)
(+ a (+ c d))
(+.f64 (+.f64 d a) c)
(+ a (+ c d))
(+.f64 (+.f64 d a) c)
c
(* c (+ 1 (+ (/ a c) (/ d c))))
(+.f64 (+.f64 d a) c)
(* c (+ 1 (+ (/ a c) (/ d c))))
(+.f64 (+.f64 d a) c)
(* c (+ 1 (+ (/ a c) (/ d c))))
(+.f64 (+.f64 d a) c)
c
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(+.f64 (+.f64 d a) c)
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(+.f64 (+.f64 d a) c)
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(+.f64 (+.f64 d a) c)
(+ c d)
(+.f64 d c)
(+ a (+ c d))
(+.f64 (+.f64 d a) c)
(+ a (+ c d))
(+.f64 (+.f64 d a) c)
(+ a (+ c d))
(+.f64 (+.f64 d a) c)
a
(* a (+ 1 (+ (/ c a) (/ d a))))
(+.f64 (+.f64 d a) c)
(* a (+ 1 (+ (/ c a) (/ d a))))
(+.f64 (+.f64 d a) c)
(* a (+ 1 (+ (/ c a) (/ d a))))
(+.f64 (+.f64 d a) c)
a
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(+.f64 (+.f64 d a) c)
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(+.f64 (+.f64 d a) c)
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(+.f64 (+.f64 d a) c)
(+ a c)
(+.f64 a c)
(+ a (+ c d))
(+.f64 (+.f64 d a) c)
(+ a (+ c d))
(+.f64 (+.f64 d a) c)
(+ a (+ c d))
(+.f64 (+.f64 d a) c)
d
(* d (+ 1 (+ (/ a d) (/ c d))))
(+.f64 (+.f64 d a) c)
(* d (+ 1 (+ (/ a d) (/ c d))))
(+.f64 (+.f64 d a) c)
(* d (+ 1 (+ (/ a d) (/ c d))))
(+.f64 (+.f64 d a) c)
d
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(+.f64 (+.f64 d a) c)
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(+.f64 (+.f64 d a) c)
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(+.f64 (+.f64 d a) c)
a
(+ a c)
(+.f64 a c)
(+ a c)
(+.f64 a c)
(+ a c)
(+.f64 a c)
c
(* c (+ 1 (/ a c)))
(+.f64 a c)
(* c (+ 1 (/ a c)))
(+.f64 a c)
(* c (+ 1 (/ a c)))
(+.f64 a c)
c
(* -1 (* c (- (* -1 (/ a c)) 1)))
(+.f64 a c)
(* -1 (* c (- (* -1 (/ a c)) 1)))
(+.f64 a c)
(* -1 (* c (- (* -1 (/ a c)) 1)))
(+.f64 a c)
c
(+ a c)
(+.f64 a c)
(+ a c)
(+.f64 a c)
(+ a c)
(+.f64 a c)
a
(* a (+ 1 (/ c a)))
(+.f64 a c)
(* a (+ 1 (/ c a)))
(+.f64 a c)
(* a (+ 1 (/ c a)))
(+.f64 a c)
a
(* -1 (* a (- (* -1 (/ c a)) 1)))
(+.f64 a c)
(* -1 (* a (- (* -1 (/ c a)) 1)))
(+.f64 a c)
(* -1 (* a (- (* -1 (/ c a)) 1)))
(+.f64 a c)

eval94.0ms (1.5%)

Memory
6.9MiB live, 116.9MiB allocated
Compiler

Compiled 10 089 to 1 104 computations (89.1% saved)

prune68.0ms (1.1%)

Memory
2.3MiB live, 135.2MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New4770477
Fresh000
Picked022
Done055
Total4777484
Accuracy
100.0%
Counts
484 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
11.7%
(*.f64 (+.f64 (+.f64 c a) d) #s(literal 2 binary64))
100.0%
(*.f64 (+.f64 (+.f64 b c) (+.f64 a d)) #s(literal 2 binary64))
11.7%
(*.f64 (+.f64 c (+.f64 d a)) #s(literal 2 binary64))
11.7%
(*.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64))
9.7%
(*.f64 (+.f64 a d) #s(literal 2 binary64))
11.6%
(*.f64 #s(literal 2 binary64) c)
6.3%
(*.f64 #s(literal 2 binary64) b)
Compiler

Compiled 123 to 76 computations (38.2% saved)

regimes35.0ms (0.5%)

Memory
-13.2MiB live, 70.4MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) b)
(*.f64 #s(literal 2 binary64) c)
(*.f64 (+.f64 a d) #s(literal 2 binary64))
(*.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64))
(*.f64 (+.f64 c (+.f64 d a)) #s(literal 2 binary64))
(*.f64 (+.f64 (+.f64 c a) d) #s(literal 2 binary64))
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
(*.f64 (+.f64 (+.f64 b c) (+.f64 a d)) #s(literal 2 binary64))
Outputs
(*.f64 (+.f64 (+.f64 b c) (+.f64 a d)) #s(literal 2 binary64))
Calls

8 calls:

10.0ms
(+.f64 c d)
5.0ms
c
3.0ms
(+.f64 b (+.f64 c d))
3.0ms
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
3.0ms
b
Results
AccuracySegmentsBranch
100.0%1a
100.0%1b
100.0%1c
100.0%1d
100.0%1(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
100.0%1(+.f64 a (+.f64 b (+.f64 c d)))
100.0%1(+.f64 b (+.f64 c d))
100.0%1(+.f64 c d)
Compiler

Compiled 60 to 43 computations (28.3% saved)

regimes26.0ms (0.4%)

Memory
-9.9MiB live, 68.2MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) b)
(*.f64 #s(literal 2 binary64) c)
(*.f64 (+.f64 a d) #s(literal 2 binary64))
(*.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64))
(*.f64 (+.f64 c (+.f64 d a)) #s(literal 2 binary64))
(*.f64 (+.f64 (+.f64 c a) d) #s(literal 2 binary64))
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
Outputs
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
Calls

8 calls:

4.0ms
b
4.0ms
(+.f64 b (+.f64 c d))
3.0ms
(+.f64 c d)
3.0ms
(+.f64 a (+.f64 b (+.f64 c d)))
3.0ms
d
Results
AccuracySegmentsBranch
94.4%1a
94.4%1b
94.4%1c
94.4%1d
94.4%1(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
94.4%1(+.f64 a (+.f64 b (+.f64 c d)))
94.4%1(+.f64 b (+.f64 c d))
94.4%1(+.f64 c d)
Compiler

Compiled 60 to 43 computations (28.3% saved)

regimes23.0ms (0.4%)

Memory
18.5MiB live, 57.3MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) b)
(*.f64 #s(literal 2 binary64) c)
(*.f64 (+.f64 a d) #s(literal 2 binary64))
(*.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64))
(*.f64 (+.f64 c (+.f64 d a)) #s(literal 2 binary64))
(*.f64 (+.f64 (+.f64 c a) d) #s(literal 2 binary64))
Outputs
(*.f64 (+.f64 a d) #s(literal 2 binary64))
(*.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64))
Calls

8 calls:

4.0ms
b
3.0ms
(+.f64 c d)
3.0ms
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
3.0ms
(+.f64 b (+.f64 c d))
3.0ms
a
Results
AccuracySegmentsBranch
11.7%1c
11.7%1a
13.4%2d
14.2%2(+.f64 c d)
13.8%2b
15.1%2(+.f64 b (+.f64 c d))
17.0%2(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
17.0%2(+.f64 a (+.f64 b (+.f64 c d)))
Compiler

Compiled 60 to 43 computations (28.3% saved)

regimes7.0ms (0.1%)

Memory
-26.1MiB live, 14.3MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) b)
(*.f64 #s(literal 2 binary64) c)
(*.f64 (+.f64 a d) #s(literal 2 binary64))
Outputs
(*.f64 (+.f64 a d) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) c)
Calls

2 calls:

4.0ms
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
2.0ms
(+.f64 a (+.f64 b (+.f64 c d)))
Results
AccuracySegmentsBranch
17.0%2(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
17.0%2(+.f64 a (+.f64 b (+.f64 c d)))
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory
10.8MiB live, 10.8MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) b)
(*.f64 #s(literal 2 binary64) c)
Outputs
(*.f64 #s(literal 2 binary64) b)
(*.f64 #s(literal 2 binary64) c)
Calls

2 calls:

2.0ms
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
2.0ms
(+.f64 a (+.f64 b (+.f64 c d)))
Results
AccuracySegmentsBranch
16.4%2(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
16.4%2(+.f64 a (+.f64 b (+.f64 c d)))
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes12.0ms (0.2%)

Memory
-0.2MiB live, 38.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) b)
Outputs
(*.f64 #s(literal 2 binary64) b)
Calls

8 calls:

2.0ms
d
1.0ms
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
1.0ms
a
1.0ms
(+.f64 c d)
1.0ms
(+.f64 a (+.f64 b (+.f64 c d)))
Results
AccuracySegmentsBranch
6.3%1c
6.3%1a
6.3%1d
6.3%1b
6.3%1(+.f64 c d)
6.3%1(+.f64 b (+.f64 c d))
6.3%1(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
6.3%1(+.f64 a (+.f64 b (+.f64 c d)))
Compiler

Compiled 60 to 43 computations (28.3% saved)

bsearch0.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0016945711968698873
0.008279068849262217
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0016945711968698873
0.008279068849262217
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0016945711968698873
0.008279068849262217
Compiler

Compiled 16 to 16 computations (0% saved)

simplify6.0ms (0.1%)

Memory
19.3MiB live, 19.3MiB allocated
Algorithm
egg-herbie
Rules
14×+-commutative_binary64
12×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02377
13677
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 (+.f64 b c) (+.f64 a d)) #s(literal 2 binary64))
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -1152921504606847/1152921504606846976 binary64)) (*.f64 (+.f64 a d) #s(literal 2 binary64)) (*.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64)))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -1152921504606847/1152921504606846976 binary64)) (*.f64 (+.f64 a d) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) c))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -1152921504606847/1152921504606846976 binary64)) (*.f64 #s(literal 2 binary64) b) (*.f64 #s(literal 2 binary64) c))
(*.f64 #s(literal 2 binary64) b)
Outputs
(*.f64 (+.f64 (+.f64 b c) (+.f64 a d)) #s(literal 2 binary64))
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 b (+.f64 c d))))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -1152921504606847/1152921504606846976 binary64)) (*.f64 (+.f64 a d) #s(literal 2 binary64)) (*.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64)))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -1152921504606847/1152921504606846976 binary64)) (*.f64 (+.f64 a d) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d))))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -1152921504606847/1152921504606846976 binary64)) (*.f64 (+.f64 a d) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) c))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -1152921504606847/1152921504606846976 binary64)) (*.f64 (+.f64 a d) #s(literal 2 binary64)) (*.f64 c #s(literal 2 binary64)))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -1152921504606847/1152921504606846976 binary64)) (*.f64 #s(literal 2 binary64) b) (*.f64 #s(literal 2 binary64) c))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -1152921504606847/1152921504606846976 binary64)) (*.f64 b #s(literal 2 binary64)) (*.f64 c #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) b)
(*.f64 b #s(literal 2 binary64))

soundness676.0ms (10.6%)

Memory
-36.0MiB live, 409.6MiB allocated
Rules
9 760×lower-fma.f64
9 760×lower-fma.f32
6 904×lower-fma.f64
6 904×lower-fma.f32
6 242×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01922060
16092060
216492000
351471940
479151940
086791886
0924
01324
15824
256924
0824724
0137890
1436890
21261890
34083878
08128875
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 173 to 94 computations (45.7% saved)

preprocess47.0ms (0.7%)

Memory
34.6MiB live, 110.2MiB allocated
Remove

(sort a b c d)

Compiler

Compiled 296 to 138 computations (53.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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