Expression, p6

Time bar (total: 5.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB 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)

sample1.6s (30.4%)

Memory
-2.9MiB live, 2 028.9MiB allocated
Samples
791.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 464.0ms
ival-<=: 194.0ms (41.8% of total)
ival-add: 138.0ms (29.7% of total)
ival-mult: 61.0ms (13.1% of total)
ival-and: 38.0ms (8.2% of total)
exact: 30.0ms (6.5% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain200.0ms (3.8%)

Memory
-37.5MiB live, 232.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
7011(-13.727828973351066 -2.2360926336910403 3.085136953916205 12.889529850468058)35(-13.400570639368446 -2.750504867514128 3.217269183433824 13.16253535297727)(+.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)))cancellation4685
Confusion
Predicted +Predicted -
+3885
-8125
Precision
0.8260869565217391
Recall
0.3089430894308943
Confusion?
Predicted +Predicted MaybePredicted -
+385530
-83095
Precision?
0.7099236641221374
Recall?
0.7560975609756098
Freqs
test
numberfreq
0210
146
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
54.0ms512×0valid
Compiler

Compiled 129 to 50 computations (61.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-add: 7.0ms (64.2% of total)
ival-mult: 3.0ms (27.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess250.0ms (4.7%)

Memory
0.1MiB live, 37.7MiB allocated
Algorithm
egg-herbie
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 #s(literal 2 binary64) (+.f64 (+.f64 (+.f64 d c) b) a))
Symmetry

(sort a b c d)

Compiler

Compiled 9 to 9 computations (0% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.2%
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
Compiler

Compiled 9 to 9 computations (0% saved)

simplify6.0ms (0.1%)

Memory
9.3MiB live, 9.3MiB 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))
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 #s(literal 2 binary64) (+.f64 (+.f64 (+.f64 d c) b) a))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (+.f64 (+.f64 d c) b) a)
a
(+.f64 b (+.f64 c d))
(+.f64 (+.f64 d c) b)
b
(+.f64 c d)
(+.f64 d c)
c
d
#s(literal 2 binary64)

localize25.0ms (0.5%)

Memory
-3.1MiB live, 34.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 c d)
accuracy0
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
accuracy0.49123002930532605
(+.f64 b (+.f64 c d))
accuracy2.6204415788482693
(+.f64 a (+.f64 b (+.f64 c d)))
Samples
20.0ms256×0valid
Compiler

Compiled 60 to 20 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 3.0ms (57.5% of total)
ival-mult: 2.0ms (38.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
11.1MiB live, 11.1MiB allocated
Counts
4 → 50
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
(* 2 (+ b (+ c d)))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ b (+ c d))
(+ a (+ b (+ c d)))
(* 2 a)
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(* 2 (+ a (+ c d)))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(+ a (+ c d))
(+ c d)
(* 2 b)
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(* b (+ 1 (+ (/ c b) (/ d b))))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(* 2 (+ a (+ b d)))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ a (+ b d))
(+ b d)
d
(* 2 c)
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(* c (+ 1 (+ (/ b c) (/ d c))))
(* c (+ 1 (/ d c)))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(* -1 (* c (- (* -1 (/ d c)) 1)))
(* 2 (+ a (+ b c)))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ a (+ b c))
(+ b c)
(* 2 d)
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(* d (+ 1 (+ (/ b d) (/ c d))))
(* d (+ 1 (/ c d)))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(* -1 (* d (- (* -1 (/ c d)) 1)))
Calls

12 calls:

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

simplify163.0ms (3.1%)

Memory
-2.5MiB live, 152.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0137294
1436294
21261294
34076290
08106289
Stop Event
iter limit
node limit
Counts
50 → 46
Calls
Call 1
Inputs
(* 2 (+ b (+ c d)))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ b (+ c d))
(+ a (+ b (+ c d)))
(* 2 a)
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(* 2 (+ a (+ c d)))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(+ a (+ c d))
(+ c d)
(* 2 b)
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(* b (+ 1 (+ (/ c b) (/ d b))))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(* 2 (+ a (+ b d)))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ a (+ b d))
(+ b d)
d
(* 2 c)
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(* c (+ 1 (+ (/ b c) (/ d c))))
(* c (+ 1 (/ d c)))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(* -1 (* c (- (* -1 (/ d c)) 1)))
(* 2 (+ a (+ b c)))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ a (+ b c))
(+ b c)
(* 2 d)
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(* d (+ 1 (+ (/ b d) (/ c d))))
(* d (+ 1 (/ c d)))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(* -1 (* d (- (* -1 (/ c d)) 1)))
Outputs
(* 2 (+ b (+ c d)))
(*.f64 (+.f64 (+.f64 d c) b) #s(literal 2 binary64))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(*.f64 (+.f64 (+.f64 (+.f64 d c) b) a) #s(literal 2 binary64))
(+ b (+ c d))
(+.f64 (+.f64 d c) b)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 d c) b) a)
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(*.f64 (+.f64 (+.f64 (+.f64 d c) b) a) #s(literal 2 binary64))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(fma.f64 (/.f64 c a) a (+.f64 (+.f64 d b) a))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 d c) b) a) #s(literal 2 binary64))
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(+.f64 (+.f64 (+.f64 d c) b) a)
(* 2 (+ a (+ c d)))
(*.f64 (+.f64 (+.f64 d c) a) #s(literal 2 binary64))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(*.f64 (+.f64 (+.f64 (+.f64 d c) b) a) #s(literal 2 binary64))
(+ a (+ c d))
(+.f64 (+.f64 d c) a)
(+ c d)
(+.f64 d c)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(*.f64 (+.f64 (+.f64 (+.f64 d c) b) a) #s(literal 2 binary64))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(+.f64 (+.f64 (+.f64 d c) b) a)
(* b (+ 1 (+ (/ c b) (/ d b))))
(+.f64 (+.f64 d c) b)
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 d c) b) a) #s(literal 2 binary64))
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(+.f64 (+.f64 (+.f64 d c) b) a)
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(+.f64 (+.f64 d c) b)
(* 2 (+ a (+ b d)))
(*.f64 (+.f64 (+.f64 d b) a) #s(literal 2 binary64))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 (+.f64 (+.f64 (+.f64 d c) b) a) #s(literal 2 binary64))
(+ a (+ b d))
(+.f64 (+.f64 d b) a)
(+ b d)
(+.f64 d b)
d
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 (+.f64 (+.f64 (+.f64 d c) b) a) #s(literal 2 binary64))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(+.f64 (+.f64 (+.f64 d c) b) a)
(* c (+ 1 (+ (/ b c) (/ d c))))
(+.f64 (+.f64 d c) b)
(* c (+ 1 (/ d c)))
(+.f64 d c)
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 d c) b) a) #s(literal 2 binary64))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(+.f64 (+.f64 (+.f64 d c) b) a)
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(+.f64 (+.f64 d c) b)
(* -1 (* c (- (* -1 (/ d c)) 1)))
(+.f64 d c)
(* 2 (+ a (+ b c)))
(*.f64 (+.f64 (+.f64 c b) a) #s(literal 2 binary64))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(*.f64 (+.f64 (+.f64 (+.f64 d c) b) a) #s(literal 2 binary64))
(+ a (+ b c))
(+.f64 (+.f64 c b) a)
(+ b c)
(+.f64 c b)
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 (+.f64 (+.f64 (+.f64 d c) b) a) #s(literal 2 binary64))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(+.f64 (+.f64 (+.f64 d c) b) a)
(* d (+ 1 (+ (/ b d) (/ c d))))
(+.f64 (+.f64 d c) b)
(* d (+ 1 (/ c d)))
(+.f64 d c)
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 d c) b) a) #s(literal 2 binary64))
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(+.f64 (+.f64 (+.f64 d c) b) a)
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(+.f64 (+.f64 d c) b)
(* -1 (* d (- (* -1 (/ c d)) 1)))
(+.f64 d c)

rewrite208.0ms (3.9%)

Memory
-1.6MiB live, 279.0MiB allocated
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 (*.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 (+.f64 d c) b) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (+.f64 (+.f64 d c) b) #s(literal 3 binary64)))) (fma.f64 (+.f64 (+.f64 d c) b) (+.f64 (+.f64 (+.f64 d c) b) a) (*.f64 a a)))
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 (+.f64 d c) b) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 a a) (pow.f64 (+.f64 (+.f64 d c) b) #s(literal 2 binary64)))) (+.f64 (+.f64 (+.f64 d c) b) a))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (+.f64 d c) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (+.f64 (+.f64 d c) b) a) (+.f64 (+.f64 d c) b)) #s(literal 2 binary64)))) (-.f64 (*.f64 a a) (*.f64 (-.f64 (+.f64 (+.f64 d c) b) a) (+.f64 (+.f64 d c) b))))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (+.f64 d c) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 (+.f64 (+.f64 d c) b) a) (+.f64 (+.f64 d c) b)) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (+.f64 (+.f64 d c) b) a) (+.f64 (+.f64 d c) b)) (-.f64 (*.f64 (-.f64 (+.f64 (+.f64 d c) b) a) (+.f64 (+.f64 d c) b)) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))))
(*.f64 (*.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 (+.f64 d c) b) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 a (+.f64 (+.f64 d c) b)) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 (pow.f64 (+.f64 (+.f64 d c) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 (-.f64 (+.f64 (+.f64 d c) b) a) (+.f64 (+.f64 d c) b) (*.f64 a a)) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 (+.f64 d c) b) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (-.f64 a (+.f64 (+.f64 d c) b))))
(*.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 (+.f64 d c) b) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 a (+.f64 (+.f64 d c) b)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (+.f64 (pow.f64 (+.f64 (+.f64 d c) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (fma.f64 (-.f64 (+.f64 (+.f64 d c) b) a) (+.f64 (+.f64 d c) b) (*.f64 a a))))
(*.f64 (+.f64 (pow.f64 (+.f64 (+.f64 d c) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (-.f64 (+.f64 (+.f64 d c) b) a) (+.f64 (+.f64 d c) b) (*.f64 a a)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (+.f64 d c) b) a))
(*.f64 (+.f64 (+.f64 (+.f64 d c) b) a) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) (pow.f64 (+.f64 d c) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 a (-.f64 b (+.f64 d c))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (+.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a)) #s(literal 2 binary64)) (-.f64 (+.f64 (+.f64 d c) b) a))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) (pow.f64 (+.f64 d c) #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 (+.f64 d c) (-.f64 (+.f64 d c) (+.f64 b a)) (pow.f64 (+.f64 b a) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 (+.f64 d c) b) #s(literal 2 binary64)))) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) a (+.f64 (+.f64 d c) b)))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (+.f64 d c) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal 2 binary64)) (neg.f64 (fma.f64 (-.f64 (+.f64 (+.f64 d c) b) a) (+.f64 (+.f64 d c) b) (*.f64 a a))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) (pow.f64 (+.f64 d c) #s(literal 2 binary64)))) (+.f64 a (-.f64 b (+.f64 d c))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (+.f64 (+.f64 d c) b) #s(literal 2 binary64)) (*.f64 a a))) (-.f64 (+.f64 (+.f64 d c) b) a))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) (pow.f64 (+.f64 d c) #s(literal 3 binary64)))) (fma.f64 (+.f64 d c) (-.f64 (+.f64 d c) (+.f64 b a)) (pow.f64 (+.f64 b a) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 (+.f64 d c) b) #s(literal 2 binary64))))) (fma.f64 #s(literal -1 binary64) a (+.f64 (+.f64 d c) b)))
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(fma.f64 (/.f64 (*.f64 (-.f64 c d) (+.f64 d c)) (*.f64 (-.f64 c d) (+.f64 d c))) (+.f64 d c) b)
(fma.f64 (*.f64 (+.f64 c b) (-.f64 b c)) (/.f64 #s(literal 1 binary64) (-.f64 b c)) d)
(fma.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (/.f64 #s(literal 1 binary64) (-.f64 d c)) b)
(fma.f64 (pow.f64 (-.f64 c d) #s(literal -1 binary64)) (*.f64 (-.f64 c d) (+.f64 d c)) b)
(fma.f64 (pow.f64 (fma.f64 (-.f64 d c) d (*.f64 c c)) #s(literal -1 binary64)) (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) b)
(fma.f64 #s(literal 1 binary64) (+.f64 d c) b)
(fma.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 c (-.f64 c b) (*.f64 b b))) d)
(fma.f64 (neg.f64 (*.f64 (-.f64 c d) (+.f64 d c))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 c d))) b)
(fma.f64 (neg.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 d c) d (*.f64 c c)))) b)
(fma.f64 (*.f64 (-.f64 c d) (+.f64 d c)) (pow.f64 (-.f64 c d) #s(literal -1 binary64)) b)
(fma.f64 (*.f64 b b) (pow.f64 (-.f64 b (+.f64 d c)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (+.f64 d c) #s(literal 2 binary64)) (-.f64 b (+.f64 d c)))))
(fma.f64 (fma.f64 (-.f64 d c) d (*.f64 c c)) (/.f64 (+.f64 d c) (fma.f64 (-.f64 d c) d (*.f64 c c))) b)
(fma.f64 (fma.f64 (-.f64 d c) d (*.f64 c c)) (*.f64 (+.f64 d c) (pow.f64 (fma.f64 (-.f64 d c) d (*.f64 c c)) #s(literal -1 binary64))) b)
(fma.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 d c) d (*.f64 c c)) #s(literal -1 binary64)) b)
(fma.f64 (+.f64 d c) (/.f64 (-.f64 c d) (-.f64 c d)) b)
(fma.f64 (+.f64 d c) (*.f64 (-.f64 c d) (pow.f64 (-.f64 c d) #s(literal -1 binary64))) b)
(fma.f64 b (/.f64 b (-.f64 b (+.f64 d c))) (neg.f64 (/.f64 (pow.f64 (+.f64 d c) #s(literal 2 binary64)) (-.f64 b (+.f64 d c)))))
(-.f64 (+.f64 b (*.f64 c (/.f64 c (-.f64 c d)))) (*.f64 d (/.f64 d (-.f64 c d))))
(-.f64 (/.f64 (pow.f64 (+.f64 c b) #s(literal 2 binary64)) (-.f64 (+.f64 c b) d)) (/.f64 (*.f64 d d) (-.f64 (+.f64 c b) d)))
(-.f64 (/.f64 (pow.f64 (+.f64 d c) #s(literal 2 binary64)) (-.f64 (+.f64 d c) b)) (/.f64 (*.f64 b b) (-.f64 (+.f64 d c) b)))
(-.f64 (*.f64 b (/.f64 b (-.f64 b (+.f64 d c)))) (/.f64 (pow.f64 (+.f64 d c) #s(literal 2 binary64)) (-.f64 b (+.f64 d c))))
(-.f64 (*.f64 c (/.f64 c (-.f64 c d))) (-.f64 (*.f64 d (/.f64 d (-.f64 c d))) b))
(+.f64 (+.f64 d b) c)
(+.f64 (*.f64 b (/.f64 b (-.f64 b (+.f64 d c)))) (neg.f64 (/.f64 (pow.f64 (+.f64 d c) #s(literal 2 binary64)) (-.f64 b (+.f64 d c)))))
(+.f64 (+.f64 c b) d)
(+.f64 (+.f64 d c) b)
(+.f64 d (+.f64 c b))
(+.f64 c (+.f64 d b))
(+.f64 b (+.f64 d c))
(*.f64 (/.f64 (*.f64 (-.f64 c d) (+.f64 d c)) (-.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64)))) (fma.f64 (+.f64 d c) d (*.f64 c c)))
(*.f64 (/.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 d c) d) #s(literal 2 binary64)))) (-.f64 (*.f64 c c) (*.f64 (-.f64 d c) d)))
(*.f64 (/.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 d c) d) #s(literal 3 binary64)) (pow.f64 c #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 d c) d) (-.f64 (*.f64 (-.f64 d c) d) (*.f64 c c)) (pow.f64 c #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 c d) (+.f64 d c)) (*.f64 (-.f64 c d) (+.f64 d c))) (+.f64 d c))
(*.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (/.f64 #s(literal 1 binary64) (-.f64 d c)))
(*.f64 (pow.f64 (-.f64 c d) #s(literal -1 binary64)) (*.f64 (-.f64 c d) (+.f64 d c)))
(*.f64 (pow.f64 (fma.f64 (-.f64 d c) d (*.f64 c c)) #s(literal -1 binary64)) (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 d c))
(*.f64 (neg.f64 (*.f64 (-.f64 c d) (+.f64 d c))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 c d))))
(*.f64 (neg.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 d c) d (*.f64 c c)))))
(*.f64 (*.f64 (-.f64 c d) (+.f64 d c)) (pow.f64 (-.f64 c d) #s(literal -1 binary64)))
(*.f64 (fma.f64 (-.f64 d c) d (*.f64 c c)) (/.f64 (+.f64 d c) (fma.f64 (-.f64 d c) d (*.f64 c c))))
(*.f64 (fma.f64 (-.f64 d c) d (*.f64 c c)) (*.f64 (+.f64 d c) (pow.f64 (fma.f64 (-.f64 d c) d (*.f64 c c)) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 d c) d (*.f64 c c)) #s(literal -1 binary64)))
(*.f64 (+.f64 d c) (/.f64 (-.f64 c d) (-.f64 c d)))
(*.f64 (+.f64 d c) (*.f64 (-.f64 c d) (pow.f64 (-.f64 c d) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 d c)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (pow.f64 (-.f64 c d) #s(literal -1 binary64))) (fma.f64 d d (*.f64 c c)))
(/.f64 (*.f64 (-.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (pow.f64 (-.f64 c d) #s(literal -1 binary64))) (fma.f64 (*.f64 d d) (fma.f64 d d (*.f64 c c)) (pow.f64 c #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 d c) d (*.f64 c c)) #s(literal -1 binary64))) (-.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 d #s(literal 9 binary64)) (pow.f64 c #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 d c) d (*.f64 c c)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (pow.f64 (*.f64 d c) #s(literal 3 binary64))))
(/.f64 (*.f64 (*.f64 (-.f64 c d) (+.f64 d c)) #s(literal 1 binary64)) (-.f64 c d))
(/.f64 (*.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 d c) d (*.f64 c c)))
(/.f64 (-.f64 (*.f64 (*.f64 c (/.f64 c (-.f64 c d))) (*.f64 c (/.f64 c (-.f64 c d)))) (*.f64 (*.f64 d (/.f64 d (-.f64 c d))) (*.f64 d (/.f64 d (-.f64 c d))))) (fma.f64 c (/.f64 c (-.f64 c d)) (*.f64 d (/.f64 d (-.f64 c d)))))
(/.f64 (-.f64 (pow.f64 (*.f64 c (/.f64 c (-.f64 c d))) #s(literal 3 binary64)) (pow.f64 (*.f64 d (/.f64 d (-.f64 c d))) #s(literal 3 binary64))) (fma.f64 (*.f64 c (/.f64 c (-.f64 c d))) (*.f64 c (/.f64 c (-.f64 c d))) (fma.f64 (*.f64 d (/.f64 d (-.f64 c d))) (*.f64 d (/.f64 d (-.f64 c d))) (*.f64 (*.f64 c (/.f64 c (-.f64 c d))) (*.f64 d (/.f64 d (-.f64 c d)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 d c) (-.f64 d c))) (neg.f64 (-.f64 d c)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 c d) (+.f64 d c)))) (neg.f64 (neg.f64 (-.f64 c d))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 d c) d (*.f64 c c)))))
(/.f64 (-.f64 (*.f64 (*.f64 c c) (-.f64 c d)) (*.f64 (-.f64 c d) (*.f64 d d))) (pow.f64 (-.f64 c d) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 d c))))
(/.f64 (-.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 d #s(literal 4 binary64))) (*.f64 (-.f64 c d) (fma.f64 d d (*.f64 c c))))
(/.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (-.f64 d c))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 d c) (*.f64 (+.f64 d c) (-.f64 d c))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 d c)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 d c)))
(/.f64 (-.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (*.f64 (-.f64 c d) (fma.f64 (*.f64 d d) (fma.f64 d d (*.f64 c c)) (pow.f64 c #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 d c) d (*.f64 c c)) (-.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 d #s(literal 9 binary64)) (pow.f64 c #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 d c) d (*.f64 c c)) (-.f64 (+.f64 (pow.f64 c #s(literal 6 binary64)) (pow.f64 d #s(literal 6 binary64))) (pow.f64 (*.f64 d c) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 c d) (+.f64 d c))) (neg.f64 (-.f64 c d)))
(/.f64 (neg.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 d c) d (*.f64 c c))))
(/.f64 (*.f64 (-.f64 c d) (+.f64 d c)) (-.f64 c d))
(/.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (fma.f64 (-.f64 d c) d (*.f64 c c)))
(neg.f64 (neg.f64 (+.f64 d c)))
(fma.f64 (/.f64 (*.f64 c c) (-.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64)))) (fma.f64 (+.f64 d c) d (*.f64 c c)) (neg.f64 (*.f64 d (/.f64 d (-.f64 c d)))))
(fma.f64 (/.f64 (*.f64 c c) (*.f64 (-.f64 c d) (+.f64 d c))) (+.f64 d c) (neg.f64 (*.f64 d (/.f64 d (-.f64 c d)))))
(fma.f64 (*.f64 c c) (pow.f64 (-.f64 c d) #s(literal -1 binary64)) (neg.f64 (*.f64 d (/.f64 d (-.f64 c d)))))
(fma.f64 c (/.f64 c (-.f64 c d)) (neg.f64 (*.f64 d (/.f64 d (-.f64 c d)))))
(-.f64 (/.f64 (*.f64 d d) (-.f64 d c)) (/.f64 (*.f64 c c) (-.f64 d c)))
(-.f64 (*.f64 c (/.f64 c (-.f64 c d))) (*.f64 d (/.f64 d (-.f64 c d))))
(+.f64 (*.f64 c (/.f64 c (-.f64 c d))) (neg.f64 (*.f64 d (/.f64 d (-.f64 c d)))))
(+.f64 d c)
(+.f64 c d)

eval83.0ms (1.6%)

Memory
-2.6MiB live, 117.3MiB allocated
Compiler

Compiled 10 092 to 1 482 computations (85.3% saved)

prune10.0ms (0.2%)

Memory
-14.3MiB live, 24.5MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New3894393
Fresh000
Picked101
Done000
Total3904394
Accuracy
100.0%
Counts
394 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64))
11.6%
(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))) #s(literal 2 binary64))
11.5%
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) c))
6.3%
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) b))
Compiler

Compiled 48 to 44 computations (8.3% saved)

simplify7.0ms (0.1%)

Memory
11.7MiB live, 11.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 c b)
cost-diff0
(+.f64 d a)
cost-diff0
(+.f64 (+.f64 d a) (+.f64 c b))
cost-diff0
(*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64))
cost-diff0
(+.f64 d c)
cost-diff0
#s(approx (+ b (+ c d)) (+.f64 d c))
cost-diff0
(+.f64 a #s(approx (+ b (+ c d)) (+.f64 d c)))
cost-diff0
(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))) #s(literal 2 binary64))
cost-diff0
(*.f64 #s(literal 2 binary64) c)
cost-diff0
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) c))
cost-diff0
(*.f64 #s(literal 2 binary64) b)
cost-diff0
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) b))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
021103
030103
150103
2119103
3223103
4249103
0249103
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) b))
(*.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)
b
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) c))
(*.f64 #s(literal 2 binary64) c)
#s(literal 2 binary64)
c
(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))) #s(literal 2 binary64))
(+.f64 a #s(approx (+ b (+ c d)) (+.f64 d c)))
a
#s(approx (+ b (+ c d)) (+.f64 d c))
(+.f64 d c)
d
c
#s(literal 2 binary64)
(*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64))
(+.f64 (+.f64 d a) (+.f64 c b))
(+.f64 d a)
d
a
(+.f64 c b)
c
b
#s(literal 2 binary64)
Outputs
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) b))
(*.f64 #s(literal 2 binary64) b)
#s(literal 2 binary64)
b
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) c))
(*.f64 #s(literal 2 binary64) c)
#s(literal 2 binary64)
c
(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))) #s(literal 2 binary64))
(*.f64 (+.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a) #s(literal 2 binary64))
(+.f64 a #s(approx (+ b (+ c d)) (+.f64 d c)))
(+.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a)
a
#s(approx (+ b (+ c d)) (+.f64 d c))
(+.f64 d c)
d
c
#s(literal 2 binary64)
(*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64))
(*.f64 (+.f64 (+.f64 (+.f64 d c) b) a) #s(literal 2 binary64))
(+.f64 (+.f64 d a) (+.f64 c b))
(+.f64 (+.f64 (+.f64 d c) b) a)
(+.f64 d a)
d
a
(+.f64 c b)
c
b
#s(literal 2 binary64)

localize38.0ms (0.7%)

Memory
16.4MiB live, 54.2MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 (+.f64 d a) (+.f64 c b))
accuracy0
(+.f64 d a)
accuracy0
(+.f64 c b)
accuracy0
(*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64))
accuracy0
(+.f64 d c)
accuracy0
(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))) #s(literal 2 binary64))
accuracy2.6204415788482693
(+.f64 a #s(approx (+ b (+ c d)) (+.f64 d c)))
accuracy50.223020145821806
#s(approx (+ b (+ c d)) (+.f64 d c))
accuracy0
(*.f64 #s(literal 2 binary64) c)
accuracy56.60820215818202
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) c))
accuracy0
(*.f64 #s(literal 2 binary64) b)
accuracy59.951418193995025
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) b))
Samples
28.0ms256×0valid
Compiler

Compiled 188 to 40 computations (78.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-add: 7.0ms (55.2% of total)
ival-mult: 5.0ms (39.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series19.0ms (0.4%)

Memory
-32.0MiB live, 6.4MiB allocated
Counts
12 → 59
Calls
Call 1
Inputs
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) b))
(*.f64 #s(literal 2 binary64) b)
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) c))
(*.f64 #s(literal 2 binary64) c)
(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))) #s(literal 2 binary64))
(+.f64 a #s(approx (+ b (+ c d)) (+.f64 d c)))
#s(approx (+ b (+ c d)) (+.f64 d c))
(+.f64 d c)
(*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64))
(+.f64 (+.f64 d a) (+.f64 c b))
(+.f64 d a)
(+.f64 c b)
Outputs
(* 2 (+ b (+ c d)))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ b (+ c d))
(+ a (+ b (+ c d)))
d
(+ a d)
(* 2 a)
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(* a (+ 1 (/ d a)))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(* -1 (* a (- (* -1 (/ d a)) 1)))
(* 2 (+ a (+ c d)))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(* 2 b)
(+ a (+ c d))
(+ c d)
c
(+ b c)
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(* b (+ 1 (+ (/ c b) (/ d b))))
(* b (+ 1 (/ c b)))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(* -1 (* b (- (* -1 (/ c b)) 1)))
(* 2 (+ a (+ b d)))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(* 2 c)
(+ a (+ b d))
(+ b d)
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(* c (+ 1 (+ (/ b c) (/ d c))))
(* c (+ 1 (/ d c)))
(* c (+ 1 (/ b c)))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(* -1 (* c (- (* -1 (/ d c)) 1)))
(* -1 (* c (- (* -1 (/ b c)) 1)))
(* 2 (+ a (+ b c)))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ a (+ b c))
(* 2 d)
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(* d (+ 1 (+ (/ b d) (/ c d))))
(* d (+ 1 (/ c d)))
(* d (+ 1 (/ a d)))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(* -1 (* d (- (* -1 (/ c d)) 1)))
(* -1 (* d (- (* -1 (/ a d)) 1)))
Calls

12 calls:

TimeVariablePointExpression
13.0ms
d
@-inf
((* (+ a (+ b (+ c d))) 2) (* 2 b) (* (+ a (+ b (+ c d))) 2) (* 2 c) (* (+ a (+ b (+ c d))) 2) (+ a (+ b (+ c d))) (+ b (+ c d)) (+ d c) (* (+ (+ d a) (+ c b)) 2) (+ (+ d a) (+ c b)) (+ d a) (+ c b))
1.0ms
c
@-inf
((* (+ a (+ b (+ c d))) 2) (* 2 b) (* (+ a (+ b (+ c d))) 2) (* 2 c) (* (+ a (+ b (+ c d))) 2) (+ a (+ b (+ c d))) (+ b (+ c d)) (+ d c) (* (+ (+ d a) (+ c b)) 2) (+ (+ d a) (+ c b)) (+ d a) (+ c b))
1.0ms
b
@-inf
((* (+ a (+ b (+ c d))) 2) (* 2 b) (* (+ a (+ b (+ c d))) 2) (* 2 c) (* (+ a (+ b (+ c d))) 2) (+ a (+ b (+ c d))) (+ b (+ c d)) (+ d c) (* (+ (+ d a) (+ c b)) 2) (+ (+ d a) (+ c b)) (+ d a) (+ c b))
1.0ms
b
@inf
((* (+ a (+ b (+ c d))) 2) (* 2 b) (* (+ a (+ b (+ c d))) 2) (* 2 c) (* (+ a (+ b (+ c d))) 2) (+ a (+ b (+ c d))) (+ b (+ c d)) (+ d c) (* (+ (+ d a) (+ c b)) 2) (+ (+ d a) (+ c b)) (+ d a) (+ c b))
1.0ms
c
@inf
((* (+ a (+ b (+ c d))) 2) (* 2 b) (* (+ a (+ b (+ c d))) 2) (* 2 c) (* (+ a (+ b (+ c d))) 2) (+ a (+ b (+ c d))) (+ b (+ c d)) (+ d c) (* (+ (+ d a) (+ c b)) 2) (+ (+ d a) (+ c b)) (+ d a) (+ c b))

simplify142.0ms (2.7%)

Memory
10.0MiB live, 123.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0162327
1515327
21443325
34523320
47540320
08276319
Stop Event
iter limit
node limit
Counts
59 → 55
Calls
Call 1
Inputs
(* 2 (+ b (+ c d)))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ b (+ c d))
(+ a (+ b (+ c d)))
d
(+ a d)
(* 2 a)
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(* a (+ 1 (/ d a)))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(* -1 (* a (- (* -1 (/ d a)) 1)))
(* 2 (+ a (+ c d)))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(* 2 b)
(+ a (+ c d))
(+ c d)
c
(+ b c)
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(* b (+ 1 (+ (/ c b) (/ d b))))
(* b (+ 1 (/ c b)))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(* -1 (* b (- (* -1 (/ c b)) 1)))
(* 2 (+ a (+ b d)))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(* 2 c)
(+ a (+ b d))
(+ b d)
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(* c (+ 1 (+ (/ b c) (/ d c))))
(* c (+ 1 (/ d c)))
(* c (+ 1 (/ b c)))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(* -1 (* c (- (* -1 (/ d c)) 1)))
(* -1 (* c (- (* -1 (/ b c)) 1)))
(* 2 (+ a (+ b c)))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ a (+ b c))
(* 2 d)
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(* d (+ 1 (+ (/ b d) (/ c d))))
(* d (+ 1 (/ c d)))
(* d (+ 1 (/ a d)))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(* -1 (* d (- (* -1 (/ c d)) 1)))
(* -1 (* d (- (* -1 (/ a d)) 1)))
Outputs
(* 2 (+ b (+ c d)))
(*.f64 (+.f64 (+.f64 d b) c) #s(literal 2 binary64))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(*.f64 (+.f64 (+.f64 (+.f64 d b) a) c) #s(literal 2 binary64))
(+ b (+ c d))
(+.f64 (+.f64 d b) c)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 d b) a) c)
d
(+ a d)
(+.f64 d a)
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(*.f64 (+.f64 (+.f64 (+.f64 d b) a) c) #s(literal 2 binary64))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(fma.f64 (/.f64 c a) a (+.f64 (+.f64 d b) a))
(* a (+ 1 (/ d a)))
(+.f64 d a)
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 d b) a) c) #s(literal 2 binary64))
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(+.f64 (+.f64 (+.f64 d b) a) c)
(* -1 (* a (- (* -1 (/ d a)) 1)))
(+.f64 d a)
(* 2 (+ a (+ c d)))
(*.f64 (+.f64 (+.f64 d a) c) #s(literal 2 binary64))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(*.f64 (+.f64 (+.f64 (+.f64 d b) a) c) #s(literal 2 binary64))
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(+ a (+ c d))
(+.f64 (+.f64 d a) c)
(+ c d)
(+.f64 d c)
c
(+ b c)
(+.f64 c b)
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(*.f64 (+.f64 (+.f64 (+.f64 d b) a) c) #s(literal 2 binary64))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(+.f64 (+.f64 (+.f64 d b) a) c)
(* b (+ 1 (+ (/ c b) (/ d b))))
(+.f64 (+.f64 d b) c)
(* b (+ 1 (/ c b)))
(+.f64 c b)
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 d b) a) c) #s(literal 2 binary64))
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(+.f64 (+.f64 (+.f64 d b) a) c)
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(+.f64 (+.f64 d b) c)
(* -1 (* b (- (* -1 (/ c b)) 1)))
(+.f64 c b)
(* 2 (+ a (+ b d)))
(*.f64 (+.f64 (+.f64 d b) a) #s(literal 2 binary64))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 (+.f64 (+.f64 (+.f64 d b) a) c) #s(literal 2 binary64))
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(+ a (+ b d))
(+.f64 (+.f64 d b) a)
(+ b d)
(+.f64 d b)
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 (+.f64 (+.f64 (+.f64 d b) a) c) #s(literal 2 binary64))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(+.f64 (+.f64 (+.f64 d b) a) c)
(* c (+ 1 (+ (/ b c) (/ d c))))
(+.f64 (+.f64 d b) c)
(* c (+ 1 (/ d c)))
(+.f64 d c)
(* c (+ 1 (/ b c)))
(+.f64 c b)
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 d b) a) c) #s(literal 2 binary64))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(+.f64 (+.f64 (+.f64 d b) a) c)
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(fma.f64 (/.f64 (+.f64 d b) c) c c)
(* -1 (* c (- (* -1 (/ d c)) 1)))
(+.f64 d c)
(* -1 (* c (- (* -1 (/ b c)) 1)))
(+.f64 c b)
(* 2 (+ a (+ b c)))
(*.f64 (+.f64 (+.f64 c b) a) #s(literal 2 binary64))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(*.f64 (+.f64 (+.f64 (+.f64 d b) a) c) #s(literal 2 binary64))
(+ a (+ b c))
(+.f64 (+.f64 c b) a)
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 (+.f64 (+.f64 (+.f64 d b) a) c) #s(literal 2 binary64))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(+.f64 (+.f64 (+.f64 d b) a) c)
(* d (+ 1 (+ (/ b d) (/ c d))))
(+.f64 (+.f64 d b) c)
(* d (+ 1 (/ c d)))
(+.f64 d c)
(* d (+ 1 (/ a d)))
(+.f64 d a)
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 d b) a) c) #s(literal 2 binary64))
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(+.f64 (+.f64 (+.f64 d b) a) c)
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(+.f64 (+.f64 d b) c)
(* -1 (* d (- (* -1 (/ c d)) 1)))
(+.f64 d c)
(* -1 (* d (- (* -1 (/ a d)) 1)))
(+.f64 d a)

rewrite231.0ms (4.3%)

Memory
-2.2MiB live, 327.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02190
03090
113390
2135990
0861790
Stop Event
iter limit
node limit
iter limit
Counts
12 → 464
Calls
Call 1
Inputs
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) b))
(*.f64 #s(literal 2 binary64) b)
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) c))
(*.f64 #s(literal 2 binary64) c)
(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))) #s(literal 2 binary64))
(+.f64 a #s(approx (+ b (+ c d)) (+.f64 d c)))
#s(approx (+ b (+ c d)) (+.f64 d c))
(+.f64 d c)
(*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64))
(+.f64 (+.f64 d a) (+.f64 c b))
(+.f64 d a)
(+.f64 c b)
Outputs
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) b))
(*.f64 #s(literal 2 binary64) b)
(*.f64 b #s(literal 2 binary64))
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) c))
(*.f64 #s(literal 2 binary64) c)
(*.f64 c #s(literal 2 binary64))
(*.f64 (+.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 2 binary64)) (*.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64))) (*.f64 (*.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 a #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #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 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 2 binary64)) (*.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 2 binary64))) (*.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) #s(approx (+ b (+ c d)) (+.f64 d c))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) #s(approx (+ b (+ c d)) (+.f64 d c))) (*.f64 #s(literal 2 binary64) #s(approx (+ b (+ c d)) (+.f64 d c))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 2 binary64) a)) (*.f64 (*.f64 #s(literal 2 binary64) #s(approx (+ b (+ c d)) (+.f64 d c))) (*.f64 #s(literal 2 binary64) a)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) #s(approx (+ b (+ c d)) (+.f64 d c))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 2 binary64) a) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) #s(approx (+ b (+ c d)) (+.f64 d c))) (*.f64 #s(literal 2 binary64) #s(approx (+ b (+ c d)) (+.f64 d c)))) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 2 binary64) #s(approx (+ b (+ c d)) (+.f64 d c)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 a a) (pow.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 2 binary64))) #s(literal 2 binary64))) (neg.f64 (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) (-.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a) (*.f64 a a))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 a a) (pow.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 2 binary64))))) (neg.f64 (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c)))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (fma.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) (-.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a) (*.f64 a a))))
(/.f64 (*.f64 (-.f64 (*.f64 a a) (pow.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))))
(/.f64 (*.f64 (+.f64 (pow.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) (-.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a) (*.f64 a a)))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 a a) (pow.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 2 binary64)))) (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) (-.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a) (*.f64 a a)))
(fma.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 2 binary64) (*.f64 a #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) #s(approx (+ b (+ c d)) (+.f64 d c)) (*.f64 #s(literal 2 binary64) a))
(fma.f64 #s(literal 2 binary64) a (*.f64 #s(literal 2 binary64) #s(approx (+ b (+ c d)) (+.f64 d c))))
(fma.f64 a #s(literal 2 binary64) (*.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))
(+.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) #s(approx (+ b (+ c d)) (+.f64 d c))) (*.f64 #s(literal 2 binary64) a))
(+.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 2 binary64) #s(approx (+ b (+ c d)) (+.f64 d c))))
(*.f64 (-.f64 (*.f64 a a) (pow.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 2 binary64))) (pow.f64 (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) (-.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a) (*.f64 a a)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))) (-.f64 (*.f64 a a) (pow.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) (-.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a) (*.f64 a a)) (+.f64 (pow.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 2 binary64)) (*.f64 a a))) (neg.f64 (-.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 a a) (pow.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) (-.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a) (*.f64 a a)))))
(/.f64 (-.f64 (*.f64 (*.f64 a a) (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c)))) (*.f64 (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))) (pow.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 2 binary64)))) (*.f64 (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))) (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))) (-.f64 (*.f64 a a) (pow.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) (-.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a) (*.f64 a a)) (+.f64 (pow.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))))
(/.f64 (-.f64 (pow.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 2 binary64)) (*.f64 a a)) (-.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))) (-.f64 (*.f64 a a) (pow.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) (-.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a) (*.f64 a a)) (+.f64 (pow.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (pow.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 2 binary64)))) (neg.f64 (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 2 binary64)) (-.f64 (*.f64 a a) (*.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) (-.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a) (*.f64 a a))))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) #s(literal 2 binary64))) (-.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (+.f64 d c) b) (-.f64 (+.f64 (+.f64 d c) b) a) (*.f64 a a)) (+.f64 (pow.f64 (+.f64 (+.f64 d c) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 b a) #s(literal 3 binary64)) (pow.f64 (+.f64 d c) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 d c) #s(literal 2 binary64)) (*.f64 (+.f64 b a) (+.f64 d c)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 d a) c) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (+.f64 d a) c) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 (+.f64 (+.f64 d a) c) b))))
(/.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (+.f64 (+.f64 b a) c) #s(literal 3 binary64))) (fma.f64 d d (-.f64 (pow.f64 (+.f64 (+.f64 b a) c) #s(literal 2 binary64)) (*.f64 d (+.f64 (+.f64 b a) c)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 d a) #s(literal 2 binary64)) (pow.f64 (+.f64 c b) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 (+.f64 d a) b) c)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 c b) #s(literal 3 binary64)) (pow.f64 (+.f64 d a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 c b) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 d a) #s(literal 2 binary64)) (*.f64 (+.f64 c b) (+.f64 d a))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 c b) #s(literal 3 binary64)) (pow.f64 (+.f64 d a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 c b) (-.f64 (+.f64 c b) (+.f64 d a)) (pow.f64 (+.f64 d a) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 (+.f64 d c) b) #s(literal 2 binary64)))) (neg.f64 (-.f64 a (+.f64 (+.f64 d c) b))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (+.f64 d c) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 (+.f64 d c) b) #s(literal 2 binary64)) (-.f64 (*.f64 a a) (*.f64 (+.f64 (+.f64 d c) b) a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (+.f64 d c) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 (+.f64 d c) b) (-.f64 (+.f64 (+.f64 d c) b) a) (*.f64 a a))))
(/.f64 (fma.f64 (*.f64 (+.f64 c b) (-.f64 c b)) (-.f64 d a) (*.f64 (-.f64 c b) (*.f64 (+.f64 d a) (-.f64 d a)))) (*.f64 (-.f64 c b) (-.f64 d a)))
(/.f64 (fma.f64 (*.f64 (+.f64 c b) (-.f64 c b)) (fma.f64 a (-.f64 a d) (*.f64 d d)) (*.f64 (-.f64 c b) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))))) (*.f64 (-.f64 c b) (fma.f64 a (-.f64 a d) (*.f64 d d))))
(/.f64 (fma.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (-.f64 d a) (*.f64 (fma.f64 b (-.f64 b c) (*.f64 c c)) (*.f64 (+.f64 d a) (-.f64 d a)))) (*.f64 (fma.f64 b (-.f64 b c) (*.f64 c c)) (-.f64 d a)))
(/.f64 (fma.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (fma.f64 a (-.f64 a d) (*.f64 d d)) (*.f64 (fma.f64 b (-.f64 b c) (*.f64 c c)) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))))) (*.f64 (fma.f64 b (-.f64 b c) (*.f64 c c)) (fma.f64 a (-.f64 a d) (*.f64 d d))))
(/.f64 (fma.f64 (*.f64 (+.f64 d a) (-.f64 d a)) (-.f64 c b) (*.f64 (-.f64 d a) (*.f64 (+.f64 c b) (-.f64 c b)))) (*.f64 (-.f64 d a) (-.f64 c b)))
(/.f64 (fma.f64 (*.f64 (+.f64 d a) (-.f64 d a)) (fma.f64 b (-.f64 b c) (*.f64 c c)) (*.f64 (-.f64 d a) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) (*.f64 (-.f64 d a) (fma.f64 b (-.f64 b c) (*.f64 c c))))
(/.f64 (fma.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) (-.f64 c b) (*.f64 (fma.f64 a (-.f64 a d) (*.f64 d d)) (*.f64 (+.f64 c b) (-.f64 c b)))) (*.f64 (fma.f64 a (-.f64 a d) (*.f64 d d)) (-.f64 c b)))
(/.f64 (fma.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) (fma.f64 b (-.f64 b c) (*.f64 c c)) (*.f64 (fma.f64 a (-.f64 a d) (*.f64 d d)) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) (*.f64 (fma.f64 a (-.f64 a d) (*.f64 d d)) (fma.f64 b (-.f64 b c) (*.f64 c c))))
(/.f64 (-.f64 (pow.f64 (+.f64 d a) #s(literal 2 binary64)) (pow.f64 (+.f64 c b) #s(literal 2 binary64))) (-.f64 (-.f64 (+.f64 d a) b) c))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 (+.f64 d c) b) #s(literal 2 binary64))) (-.f64 a (+.f64 (+.f64 d c) b)))
(/.f64 (+.f64 (pow.f64 (+.f64 c b) #s(literal 3 binary64)) (pow.f64 (+.f64 d a) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 c b) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 d a) #s(literal 2 binary64)) (*.f64 (+.f64 c b) (+.f64 d a)))))
(/.f64 (+.f64 (pow.f64 (+.f64 c b) #s(literal 3 binary64)) (pow.f64 (+.f64 d a) #s(literal 3 binary64))) (fma.f64 (+.f64 c b) (-.f64 (+.f64 c b) (+.f64 d a)) (pow.f64 (+.f64 d a) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 d c) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 (+.f64 d c) b) #s(literal 2 binary64)) (-.f64 (*.f64 a a) (*.f64 (+.f64 (+.f64 d c) b) a))))
(/.f64 (+.f64 (pow.f64 (+.f64 (+.f64 d c) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (+.f64 (+.f64 d c) b) (-.f64 (+.f64 (+.f64 d c) b) a) (*.f64 a a)))
(fma.f64 (*.f64 (+.f64 c b) (-.f64 c b)) (pow.f64 (-.f64 c b) #s(literal -1 binary64)) (+.f64 d a))
(fma.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 d c) #s(literal 2 binary64))) (pow.f64 (-.f64 b (+.f64 d c)) #s(literal -1 binary64)) a)
(fma.f64 (*.f64 (+.f64 d a) (-.f64 d a)) (pow.f64 (-.f64 d a) #s(literal -1 binary64)) (+.f64 c b))
(fma.f64 (*.f64 (+.f64 d c) (-.f64 c d)) (pow.f64 (-.f64 c d) #s(literal -1 binary64)) (+.f64 b a))
(fma.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (pow.f64 (-.f64 d c) #s(literal -1 binary64)) (+.f64 b a))
(fma.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 (fma.f64 b (-.f64 b c) (*.f64 c c)) #s(literal -1 binary64)) (+.f64 d a))
(fma.f64 (+.f64 (pow.f64 (+.f64 d c) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 d c) (-.f64 (+.f64 d c) b) (*.f64 b b)) #s(literal -1 binary64)) a)
(fma.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) (pow.f64 (fma.f64 a (-.f64 a d) (*.f64 d d)) #s(literal -1 binary64)) (+.f64 c b))
(fma.f64 (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) (pow.f64 (fma.f64 d (-.f64 d c) (*.f64 c c)) #s(literal -1 binary64)) (+.f64 b a))
(fma.f64 (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) (pow.f64 (fma.f64 c (-.f64 c d) (*.f64 d d)) #s(literal -1 binary64)) (+.f64 b a))
(-.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) (-.f64 (+.f64 b a) (+.f64 d c))) (/.f64 (pow.f64 (+.f64 d c) #s(literal 2 binary64)) (-.f64 (+.f64 b a) (+.f64 d c))))
(-.f64 (/.f64 (pow.f64 (+.f64 (+.f64 d c) b) #s(literal 2 binary64)) (-.f64 (+.f64 (+.f64 d c) b) a)) (/.f64 (*.f64 a a) (-.f64 (+.f64 (+.f64 d c) b) a)))
(-.f64 (/.f64 (pow.f64 (+.f64 (+.f64 d a) c) #s(literal 2 binary64)) (-.f64 (+.f64 (+.f64 d a) c) b)) (/.f64 (*.f64 b b) (-.f64 (+.f64 (+.f64 d a) c) b)))
(-.f64 (/.f64 (pow.f64 (+.f64 c b) #s(literal 2 binary64)) (-.f64 (+.f64 c b) (+.f64 d a))) (/.f64 (pow.f64 (+.f64 d a) #s(literal 2 binary64)) (-.f64 (+.f64 c b) (+.f64 d a))))
(-.f64 (/.f64 (*.f64 d d) (-.f64 d (+.f64 (+.f64 b a) c))) (/.f64 (pow.f64 (+.f64 (+.f64 b a) c) #s(literal 2 binary64)) (-.f64 d (+.f64 (+.f64 b a) c))))
(-.f64 (/.f64 (pow.f64 (+.f64 d a) #s(literal 2 binary64)) (-.f64 (-.f64 (+.f64 d a) b) c)) (/.f64 (pow.f64 (+.f64 c b) #s(literal 2 binary64)) (-.f64 (-.f64 (+.f64 d a) b) c)))
(-.f64 (/.f64 (*.f64 a a) (-.f64 a (+.f64 (+.f64 d c) b))) (/.f64 (pow.f64 (+.f64 (+.f64 d c) b) #s(literal 2 binary64)) (-.f64 a (+.f64 (+.f64 d c) b))))
(+.f64 (+.f64 (+.f64 b a) d) c)
(+.f64 (+.f64 (+.f64 d a) b) c)
(+.f64 (+.f64 (+.f64 b a) c) d)
(+.f64 (+.f64 (+.f64 d a) c) b)
(+.f64 (+.f64 b a) (+.f64 d c))
(+.f64 (+.f64 c b) (+.f64 d a))
(+.f64 (+.f64 d a) (+.f64 c b))
(+.f64 (+.f64 (+.f64 d c) b) a)
(+.f64 (+.f64 d c) (+.f64 b a))
(+.f64 d (+.f64 (+.f64 b a) c))
(+.f64 c (+.f64 b (+.f64 d a)))
(+.f64 b (+.f64 (+.f64 d c) a))
(+.f64 b (+.f64 (+.f64 d a) c))
(+.f64 a (+.f64 (+.f64 d c) b))
(*.f64 (*.f64 (+.f64 d a) (-.f64 d a)) (pow.f64 (-.f64 d a) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) (pow.f64 (fma.f64 a (-.f64 a d) (*.f64 d d)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 d a) (*.f64 (+.f64 d a) (-.f64 d a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 a (-.f64 a d) (*.f64 d d)) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 a a) (*.f64 d d))) (neg.f64 (-.f64 a d)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 d a) (-.f64 d a)))) (neg.f64 (neg.f64 (-.f64 d a))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 a (-.f64 a d) (*.f64 d d)))))
(/.f64 (-.f64 (*.f64 (*.f64 d d) (-.f64 d a)) (*.f64 (-.f64 d a) (*.f64 a a))) (pow.f64 (-.f64 d a) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 d a) (*.f64 (+.f64 d a) (-.f64 d a)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 a (-.f64 a d) (*.f64 d d)) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 d d)) (-.f64 a d))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 d a) (*.f64 (+.f64 d a) (-.f64 d a))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (-.f64 a d) (*.f64 d d)) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 d a) (-.f64 d a))) (neg.f64 (-.f64 d a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64)))) (neg.f64 (fma.f64 a a (-.f64 (*.f64 d d) (*.f64 d a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64)))) (neg.f64 (fma.f64 a (-.f64 a d) (*.f64 d d))))
(/.f64 (*.f64 (+.f64 d a) (-.f64 d a)) (-.f64 d a))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) (fma.f64 a a (-.f64 (*.f64 d d) (*.f64 d a))))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) (fma.f64 a (-.f64 a d) (*.f64 d d)))
(-.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 d a)
(+.f64 a d)
(*.f64 (*.f64 (+.f64 c b) (-.f64 c b)) (pow.f64 (-.f64 c b) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 (fma.f64 b (-.f64 b c) (*.f64 c c)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 c b) (*.f64 (+.f64 c b) (-.f64 c b))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 b (-.f64 b c) (*.f64 c c)) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (*.f64 c c))) (neg.f64 (-.f64 b c)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 c b) (-.f64 c b)))) (neg.f64 (neg.f64 (-.f64 c b))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 b (-.f64 b c) (*.f64 c c)))))
(/.f64 (-.f64 (*.f64 (*.f64 c c) (-.f64 c b)) (*.f64 (-.f64 c b) (*.f64 b b))) (pow.f64 (-.f64 c b) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 c b) (*.f64 (+.f64 c b) (-.f64 c b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 b (-.f64 b c) (*.f64 c c)) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))))
(/.f64 (-.f64 (*.f64 b b) (*.f64 c c)) (-.f64 b c))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 c b) (*.f64 (+.f64 c b) (-.f64 c b))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (-.f64 b c) (*.f64 c c)) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 c b) (-.f64 c b))) (neg.f64 (-.f64 c b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (neg.f64 (fma.f64 b b (-.f64 (*.f64 c c) (*.f64 c b)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (neg.f64 (fma.f64 b (-.f64 b c) (*.f64 c c))))
(/.f64 (*.f64 (+.f64 c b) (-.f64 c b)) (-.f64 c b))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (fma.f64 b b (-.f64 (*.f64 c c) (*.f64 c b))))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (fma.f64 b (-.f64 b c) (*.f64 c c)))
(-.f64 (/.f64 (*.f64 b b) (-.f64 b c)) (/.f64 (*.f64 c c) (-.f64 b c)))
(-.f64 (/.f64 (*.f64 c c) (-.f64 c b)) (/.f64 (*.f64 b b) (-.f64 c b)))
(+.f64 c b)
(+.f64 b c)

eval89.0ms (1.7%)

Memory
11.0MiB live, 169.4MiB allocated
Compiler

Compiled 16 430 to 2 004 computations (87.8% saved)

prune12.0ms (0.2%)

Memory
-1.1MiB live, 37.6MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New4841485
Fresh000
Picked044
Done000
Total4845489
Accuracy
100.0%
Counts
489 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64))
11.6%
(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))) #s(literal 2 binary64))
11.6%
(*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 d a) c)) #s(literal 2 binary64))
11.5%
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) c))
6.3%
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) b))
Compiler

Compiled 63 to 56 computations (11.1% saved)

simplify4.0ms (0.1%)

Memory
7.4MiB live, 7.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 d a)
cost-diff0
(+.f64 (+.f64 d a) c)
cost-diff0
#s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 d a) c))
cost-diff0
(*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 d a) c)) #s(literal 2 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01240
01540
12740
25240
37940
47940
07940
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 d a) c)) #s(literal 2 binary64))
#s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 d a) c))
(+.f64 (+.f64 d a) c)
(+.f64 d a)
d
a
c
#s(literal 2 binary64)
Outputs
(*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 d a) c)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 d a) c)))
#s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 d a) c))
(+.f64 (+.f64 d a) c)
(+.f64 d a)
d
a
c
#s(literal 2 binary64)

localize24.0ms (0.4%)

Memory
-1.9MiB live, 42.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 (+.f64 d a) c)
accuracy0
(+.f64 d a)
accuracy0
(*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 d a) c)) #s(literal 2 binary64))
accuracy56.56316966857681
#s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 d a) c))
Samples
18.0ms256×0valid
Compiler

Compiled 70 to 25 computations (64.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-add: 5.0ms (56% of total)
ival-mult: 3.0ms (33.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB allocated
Counts
4 → 50
Calls
Call 1
Inputs
(*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 d a) c)) #s(literal 2 binary64))
#s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 d a) c))
(+.f64 (+.f64 d a) c)
(+.f64 d a)
Outputs
(* 2 (+ b (+ c d)))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ b (+ c d))
(+ a (+ b (+ c d)))
(+ c d)
(+ a (+ c d))
d
(+ a d)
(* 2 a)
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(* a (+ 1 (+ (/ c a) (/ d a))))
(* a (+ 1 (/ d a)))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(* -1 (* a (- (* -1 (/ d a)) 1)))
(* 2 (+ a (+ c d)))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(* 2 b)
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(* 2 (+ a (+ b d)))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ a (+ b d))
(* 2 c)
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(* c (+ 1 (+ (/ a c) (/ d c))))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(* 2 (+ a (+ b c)))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ a (+ b c))
(+ a c)
(* 2 d)
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(* d (+ 1 (+ (/ a d) (/ c d))))
(* d (+ 1 (/ a d)))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(* -1 (* d (- (* -1 (/ a d)) 1)))
Calls

12 calls:

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

simplify184.0ms (3.5%)

Memory
-14.9MiB live, 96.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0141322
1440322
21250318
33948302
47937302
08801297
Stop Event
iter limit
node limit
Counts
50 → 46
Calls
Call 1
Inputs
(* 2 (+ b (+ c d)))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ b (+ c d))
(+ a (+ b (+ c d)))
(+ c d)
(+ a (+ c d))
d
(+ a d)
(* 2 a)
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(* a (+ 1 (+ (/ c a) (/ d a))))
(* a (+ 1 (/ d a)))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(* -1 (* a (- (* -1 (/ d a)) 1)))
(* 2 (+ a (+ c d)))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(* 2 b)
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(* 2 (+ a (+ b d)))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ a (+ b d))
(* 2 c)
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(* c (+ 1 (+ (/ a c) (/ d c))))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(* 2 (+ a (+ b c)))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ a (+ b c))
(+ a c)
(* 2 d)
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(* d (+ 1 (+ (/ a d) (/ c d))))
(* d (+ 1 (/ a d)))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(* -1 (* d (- (* -1 (/ a d)) 1)))
Outputs
(* 2 (+ b (+ c d)))
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 d c) b))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(*.f64 (+.f64 (+.f64 (+.f64 d c) a) b) #s(literal 2 binary64))
(+ b (+ c d))
(+.f64 (+.f64 d c) b)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 d c) a) b)
(+ c d)
(+.f64 d c)
(+ a (+ c d))
(+.f64 (+.f64 d c) a)
d
(+ a d)
(+.f64 d a)
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(*.f64 (+.f64 (+.f64 (+.f64 d c) a) b) #s(literal 2 binary64))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(+.f64 (+.f64 (+.f64 d c) a) b)
(* a (+ 1 (+ (/ c a) (/ d a))))
(+.f64 (+.f64 d c) a)
(* a (+ 1 (/ d a)))
(+.f64 d a)
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 d c) a) b) #s(literal 2 binary64))
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(+.f64 (+.f64 (+.f64 d c) a) b)
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(+.f64 (+.f64 d c) a)
(* -1 (* a (- (* -1 (/ d a)) 1)))
(+.f64 d a)
(* 2 (+ a (+ c d)))
(*.f64 (+.f64 (+.f64 d c) a) #s(literal 2 binary64))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(*.f64 (+.f64 (+.f64 (+.f64 d c) a) b) #s(literal 2 binary64))
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(*.f64 (+.f64 (+.f64 (+.f64 d c) a) b) #s(literal 2 binary64))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(fma.f64 (/.f64 c b) b (+.f64 (+.f64 d b) a))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 d c) a) b) #s(literal 2 binary64))
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(+.f64 (+.f64 (+.f64 d c) a) b)
(* 2 (+ a (+ b d)))
(*.f64 (+.f64 (+.f64 d b) a) #s(literal 2 binary64))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 (+.f64 (+.f64 (+.f64 d c) a) b) #s(literal 2 binary64))
(+ a (+ b d))
(+.f64 (+.f64 d b) a)
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 (+.f64 (+.f64 (+.f64 d c) a) b) #s(literal 2 binary64))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(fma.f64 (/.f64 b c) c (+.f64 (+.f64 d c) a))
(* c (+ 1 (+ (/ a c) (/ d c))))
(+.f64 (+.f64 d c) a)
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 d c) a) b) #s(literal 2 binary64))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(fma.f64 (+.f64 (+.f64 d b) a) #s(literal 1 binary64) c)
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(+.f64 (+.f64 d c) a)
(* 2 (+ a (+ b c)))
(*.f64 (+.f64 (+.f64 c b) a) #s(literal 2 binary64))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(*.f64 (+.f64 (+.f64 (+.f64 d c) a) b) #s(literal 2 binary64))
(+ a (+ b c))
(+.f64 (+.f64 c b) a)
(+ a c)
(+.f64 c a)
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 (+.f64 (+.f64 (+.f64 d c) a) b) #s(literal 2 binary64))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(fma.f64 (/.f64 b d) d (+.f64 (+.f64 d c) a))
(* d (+ 1 (+ (/ a d) (/ c d))))
(+.f64 (+.f64 d c) a)
(* d (+ 1 (/ a d)))
(+.f64 d a)
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 d c) a) b) #s(literal 2 binary64))
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(fma.f64 (+.f64 (+.f64 c b) a) #s(literal 1 binary64) d)
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(+.f64 (+.f64 d c) a)
(* -1 (* d (- (* -1 (/ a d)) 1)))
(+.f64 d a)

rewrite313.0ms (5.9%)

Memory
29.8MiB live, 144.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01236
01536
18236
280436
0827136
Stop Event
iter limit
node limit
iter limit
Counts
4 → 111
Calls
Call 1
Inputs
(*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 d a) c)) #s(literal 2 binary64))
#s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 d a) c))
(+.f64 (+.f64 d a) c)
(+.f64 d a)
Outputs
(*.f64 #s(literal 2 binary64) #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 d a) c)))
(*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 d a) c)) #s(literal 2 binary64))
#s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 d a) c))
(*.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 c a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 d a) c)))
(*.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 d a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 c d) a)))
(*.f64 #s(literal 1 binary64) (+.f64 (+.f64 d a) c))
(*.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (+.f64 c a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 (+.f64 c a) (-.f64 (+.f64 c a) d)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 d a) #s(literal 2 binary64)) (*.f64 c c))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 d a) c))))
(*.f64 (neg.f64 (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 (+.f64 d a) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 c (-.f64 (-.f64 c d) a) (pow.f64 (+.f64 d a) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 (+.f64 d a) #s(literal 2 binary64)) (*.f64 c c)) (pow.f64 (-.f64 (+.f64 d a) c) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 (+.f64 d a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 (+.f64 d a) (-.f64 (+.f64 d a) c)))))
(*.f64 (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 (+.f64 d a) #s(literal 3 binary64))) (pow.f64 (fma.f64 c (-.f64 (-.f64 c d) a) (pow.f64 (+.f64 d a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 d a) c)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 d a) #s(literal 2 binary64)) (-.f64 (+.f64 d a) c)) (/.f64 (pow.f64 (+.f64 d a) #s(literal 2 binary64)) (-.f64 (+.f64 d a) c))) (*.f64 (/.f64 (*.f64 c c) (-.f64 (+.f64 d a) c)) (/.f64 (*.f64 c c) (-.f64 (+.f64 d a) c)))) (+.f64 (/.f64 (pow.f64 (+.f64 d a) #s(literal 2 binary64)) (-.f64 (+.f64 d a) c)) (/.f64 (*.f64 c c) (-.f64 (+.f64 d a) c))))
(/.f64 (-.f64 (pow.f64 (+.f64 c a) #s(literal 2 binary64)) (*.f64 d d)) (-.f64 (+.f64 c a) d))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) #s(literal 2 binary64)) (*.f64 a a)) (-.f64 (+.f64 d c) a))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 d c) #s(literal 2 binary64))) (-.f64 (-.f64 a d) c))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 d a) #s(literal 2 binary64)) (-.f64 (+.f64 d a) c)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 c c) (-.f64 (+.f64 d a) c)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (+.f64 d a) #s(literal 2 binary64)) (-.f64 (+.f64 d a) c)) (/.f64 (pow.f64 (+.f64 d a) #s(literal 2 binary64)) (-.f64 (+.f64 d a) c)) (fma.f64 (/.f64 (*.f64 c c) (-.f64 (+.f64 d a) c)) (/.f64 (*.f64 c c) (-.f64 (+.f64 d a) c)) (*.f64 (/.f64 (pow.f64 (+.f64 d a) #s(literal 2 binary64)) (-.f64 (+.f64 d a) c)) (/.f64 (*.f64 c c) (-.f64 (+.f64 d a) c))))))
(/.f64 (+.f64 (pow.f64 (+.f64 c a) #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 c a) #s(literal 2 binary64)) (-.f64 (*.f64 d d) (*.f64 (+.f64 c a) d))))
(/.f64 (+.f64 (pow.f64 (+.f64 d c) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 d c) #s(literal 2 binary64)) (-.f64 (*.f64 a a) (*.f64 (+.f64 d c) a))))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (+.f64 d c) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (pow.f64 (+.f64 d c) #s(literal 2 binary64)) (*.f64 a (+.f64 d c)))))
(/.f64 (neg.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 c a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 d a) c)))
(/.f64 (neg.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 d a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 c d) a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (+.f64 c a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 d d (*.f64 (+.f64 c a) (-.f64 (+.f64 c a) d)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 d a) #s(literal 2 binary64)) (*.f64 c c)))) (neg.f64 (neg.f64 (-.f64 (+.f64 d a) c))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 (+.f64 d a) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 c (-.f64 (-.f64 c d) a) (pow.f64 (+.f64 d a) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 d a) #s(literal 2 binary64)) (-.f64 (+.f64 d a) c)) (*.f64 (-.f64 (+.f64 d a) c) (*.f64 c c))) (*.f64 (-.f64 (+.f64 d a) c) (-.f64 (+.f64 d a) c)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 d a) c))))
(/.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 c a) #s(literal 2 binary64))) (-.f64 (-.f64 d a) c))
(/.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 d a) #s(literal 2 binary64))) (-.f64 (-.f64 c d) a))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 d a) c) (-.f64 (*.f64 d d) (pow.f64 (+.f64 c a) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 c d) a) (-.f64 (*.f64 c c) (pow.f64 (+.f64 d a) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 d a) c)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 (+.f64 c a) (-.f64 (+.f64 c a) d))) (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (+.f64 c a) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 (+.f64 d a) (-.f64 (+.f64 d a) c))) (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 (+.f64 d a) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 d a) c)))
(/.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (+.f64 c a) #s(literal 3 binary64))) (fma.f64 d d (*.f64 (+.f64 c a) (-.f64 (+.f64 c a) d))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 d a) #s(literal 2 binary64)) (*.f64 c c))) (neg.f64 (-.f64 (+.f64 d a) c)))
(/.f64 (neg.f64 (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 (+.f64 d a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 c c (*.f64 (+.f64 d a) (-.f64 (+.f64 d a) c)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 (+.f64 d a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 c (-.f64 (-.f64 c d) a) (pow.f64 (+.f64 d a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 d a) #s(literal 2 binary64)) (*.f64 c c)) (-.f64 (+.f64 d a) c))
(/.f64 (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 (+.f64 d a) #s(literal 3 binary64))) (fma.f64 c c (*.f64 (+.f64 d a) (-.f64 (+.f64 d a) c))))
(/.f64 (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 (+.f64 d a) #s(literal 3 binary64))) (fma.f64 c (-.f64 (-.f64 c d) a) (pow.f64 (+.f64 d a) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 d a) #s(literal 2 binary64)) (*.f64 c c))) (-.f64 (+.f64 d a) c)))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 (+.f64 d a) #s(literal 3 binary64)))) (fma.f64 c (-.f64 (-.f64 c d) a) (pow.f64 (+.f64 d a) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 d a) #s(literal 2 binary64)) (*.f64 c c)) (neg.f64 (-.f64 (+.f64 d a) c))))
(neg.f64 (/.f64 (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 (+.f64 d a) #s(literal 3 binary64))) (neg.f64 (fma.f64 c (-.f64 (-.f64 c d) a) (pow.f64 (+.f64 d a) #s(literal 2 binary64))))))
(fma.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (/.f64 #s(literal 1 binary64) (-.f64 d c)) a)
(fma.f64 (*.f64 (+.f64 d a) (-.f64 a d)) (/.f64 #s(literal 1 binary64) (-.f64 a d)) c)
(fma.f64 (*.f64 (+.f64 c a) (-.f64 a c)) (/.f64 #s(literal 1 binary64) (-.f64 a c)) d)
(fma.f64 #s(literal 1 binary64) (+.f64 d a) c)
(fma.f64 #s(literal 1 binary64) (+.f64 d c) a)
(fma.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 c (-.f64 c a)))) d)
(fma.f64 (*.f64 (neg.f64 (+.f64 d c)) (-.f64 c d)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 c d))) a)
(fma.f64 (neg.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 d (-.f64 d c) (*.f64 c c)))) a)
(fma.f64 (*.f64 (neg.f64 (+.f64 d a)) (-.f64 d a)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 d a))) c)
(fma.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a (-.f64 a d) (*.f64 d d)))) c)
(fma.f64 (*.f64 (+.f64 d c) (-.f64 c d)) (pow.f64 (-.f64 c d) #s(literal -1 binary64)) a)
(fma.f64 (*.f64 (+.f64 d a) (-.f64 d a)) (pow.f64 (-.f64 d a) #s(literal -1 binary64)) c)
(fma.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c (-.f64 c d)))) a)
(fma.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 (fma.f64 d (-.f64 d c) (*.f64 c c)) #s(literal -1 binary64)) a)
(fma.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 d (-.f64 d a)))) c)
(fma.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) (pow.f64 (fma.f64 a (-.f64 a d) (*.f64 d d)) #s(literal -1 binary64)) c)
(fma.f64 (pow.f64 (+.f64 d a) #s(literal 2 binary64)) (pow.f64 (-.f64 (+.f64 d a) c) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 c c) (-.f64 (+.f64 d a) c))))
(-.f64 (+.f64 c (/.f64 (*.f64 d d) (-.f64 d a))) (/.f64 (*.f64 a a) (-.f64 d a)))
(-.f64 (+.f64 a (/.f64 (*.f64 c c) (-.f64 c d))) (/.f64 (*.f64 d d) (-.f64 c d)))
(-.f64 (/.f64 (*.f64 d d) (-.f64 (-.f64 d a) c)) (/.f64 (pow.f64 (+.f64 c a) #s(literal 2 binary64)) (-.f64 (-.f64 d a) c)))
(-.f64 (/.f64 (*.f64 c c) (-.f64 (-.f64 c d) a)) (/.f64 (pow.f64 (+.f64 d a) #s(literal 2 binary64)) (-.f64 (-.f64 c d) a)))
(-.f64 (/.f64 (*.f64 c c) (-.f64 c d)) (-.f64 (/.f64 (*.f64 d d) (-.f64 c d)) a))
(-.f64 (/.f64 (*.f64 d d) (-.f64 d a)) (-.f64 (/.f64 (*.f64 a a) (-.f64 d a)) c))
(-.f64 (/.f64 (pow.f64 (+.f64 d a) #s(literal 2 binary64)) (-.f64 (+.f64 d a) c)) (/.f64 (*.f64 c c) (-.f64 (+.f64 d a) c)))
(+.f64 (/.f64 (pow.f64 (+.f64 d a) #s(literal 2 binary64)) (-.f64 (+.f64 d a) c)) (neg.f64 (/.f64 (*.f64 c c) (-.f64 (+.f64 d a) c))))
(+.f64 (+.f64 c a) d)
(+.f64 (+.f64 d a) c)
(+.f64 (+.f64 d c) a)
(+.f64 d (+.f64 c a))
(+.f64 c (+.f64 d a))
(+.f64 a (+.f64 d c))
(*.f64 (*.f64 (+.f64 d a) (-.f64 a d)) (/.f64 #s(literal 1 binary64) (-.f64 a d)))
(*.f64 #s(literal 1 binary64) (+.f64 d a))
(*.f64 (*.f64 (neg.f64 (+.f64 d a)) (-.f64 d a)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 d a))))
(*.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a (-.f64 a d) (*.f64 d d)))))
(*.f64 (*.f64 (+.f64 d a) (-.f64 d a)) (pow.f64 (-.f64 d a) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 d (-.f64 d a)))))
(*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) (pow.f64 (fma.f64 a (-.f64 a d) (*.f64 d d)) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 d a)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 d d) (-.f64 d a)) (/.f64 (*.f64 d d) (-.f64 d a))) (*.f64 (/.f64 (*.f64 a a) (-.f64 d a)) (/.f64 (*.f64 a a) (-.f64 d a)))) (+.f64 (/.f64 (*.f64 d d) (-.f64 d a)) (/.f64 (*.f64 a a) (-.f64 d a))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 d d) (-.f64 d a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 a a) (-.f64 d a)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 d d) (-.f64 d a)) (/.f64 (*.f64 d d) (-.f64 d a)) (fma.f64 (/.f64 (*.f64 a a) (-.f64 d a)) (/.f64 (*.f64 a a) (-.f64 d a)) (*.f64 (/.f64 (*.f64 d d) (-.f64 d a)) (/.f64 (*.f64 a a) (-.f64 d a))))))
(/.f64 (neg.f64 (*.f64 (+.f64 d a) (-.f64 a d))) (neg.f64 (-.f64 a d)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 d a)) (-.f64 d a))) (neg.f64 (neg.f64 (-.f64 d a))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 a (-.f64 a d) (*.f64 d d)))))
(/.f64 (-.f64 (*.f64 (*.f64 d d) (-.f64 d a)) (*.f64 (-.f64 d a) (*.f64 a a))) (pow.f64 (-.f64 d a) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 d a))))
(/.f64 (*.f64 (+.f64 d a) (-.f64 a d)) (-.f64 a d))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a d) (*.f64 (+.f64 d a) (-.f64 a d))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 d a)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a (*.f64 d (-.f64 d a))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 d a)))
(/.f64 (*.f64 (neg.f64 (+.f64 d a)) (-.f64 d a)) (neg.f64 (-.f64 d a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64)))) (neg.f64 (fma.f64 a a (*.f64 d (-.f64 d a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64)))) (neg.f64 (fma.f64 a (-.f64 a d) (*.f64 d d))))
(/.f64 (*.f64 (+.f64 d a) (-.f64 d a)) (-.f64 d a))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) (fma.f64 a a (*.f64 d (-.f64 d a))))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) (fma.f64 a (-.f64 a d) (*.f64 d d)))
(neg.f64 (neg.f64 (+.f64 d a)))
(fma.f64 (*.f64 d d) (pow.f64 (-.f64 d a) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 a a) (-.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 (/.f64 (*.f64 d d) (-.f64 d a)) (neg.f64 (/.f64 (*.f64 a a) (-.f64 d a))))
(+.f64 d a)
(+.f64 a d)

eval21.0ms (0.4%)

Memory
-8.8MiB live, 27.9MiB allocated
Compiler

Compiled 3 508 to 616 computations (82.4% saved)

prune5.0ms (0.1%)

Memory
10.0MiB live, 10.0MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New1321133
Fresh000
Picked011
Done044
Total1326138
Accuracy
100.0%
Counts
138 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64))
11.6%
(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))) #s(literal 2 binary64))
11.6%
(*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 d a) c)) #s(literal 2 binary64))
11.6%
(*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 c a) d)) #s(literal 2 binary64))
11.5%
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) c))
6.3%
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) b))
Compiler

Compiled 78 to 68 computations (12.8% saved)

simplify4.0ms (0.1%)

Memory
4.7MiB live, 4.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 c a)
cost-diff0
(+.f64 (+.f64 c a) d)
cost-diff0
#s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 c a) d))
cost-diff0
(*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 c a) d)) #s(literal 2 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01240
01540
12740
25240
37940
47940
07940
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 c a) d)) #s(literal 2 binary64))
#s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 c a) d))
(+.f64 (+.f64 c a) d)
(+.f64 c a)
c
a
d
#s(literal 2 binary64)
Outputs
(*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 c a) d)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 c a) d)))
#s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 c a) d))
(+.f64 (+.f64 c a) d)
(+.f64 c a)
c
a
d
#s(literal 2 binary64)

localize68.0ms (1.3%)

Memory
-42.2MiB live, 52.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 c a)
accuracy0
(*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 c a) d)) #s(literal 2 binary64))
accuracy0.9607446533273221
(+.f64 (+.f64 c a) d)
accuracy56.56316966857681
#s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 c a) d))
Samples
62.0ms256×0valid
Compiler

Compiled 70 to 25 computations (64.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-add: 20.0ms (58% of total)
ival-mult: 14.0ms (40.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
6.2MiB live, 6.2MiB allocated
Counts
4 → 50
Calls
Call 1
Inputs
(*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 c a) d)) #s(literal 2 binary64))
#s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 c a) d))
(+.f64 (+.f64 c a) d)
(+.f64 c a)
Outputs
(* 2 (+ b (+ c d)))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ b (+ c d))
(+ a (+ b (+ c d)))
(+ c d)
(+ a (+ c d))
c
(+ a c)
(* 2 a)
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(* a (+ 1 (+ (/ c a) (/ d a))))
(* a (+ 1 (/ c a)))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(* -1 (* a (- (* -1 (/ c a)) 1)))
(* 2 (+ a (+ c d)))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(* 2 b)
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(* 2 (+ a (+ b d)))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ a (+ b d))
(+ a d)
(* 2 c)
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(* c (+ 1 (+ (/ a c) (/ d c))))
(* c (+ 1 (/ a c)))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(* -1 (* c (- (* -1 (/ a c)) 1)))
(* 2 (+ a (+ b c)))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ a (+ b c))
(* 2 d)
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(* d (+ 1 (+ (/ a d) (/ c d))))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
Calls

12 calls:

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

simplify133.0ms (2.5%)

Memory
16.2MiB live, 172.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0141322
1439322
21246318
33951302
47971302
08833297
Stop Event
iter limit
node limit
Counts
50 → 46
Calls
Call 1
Inputs
(* 2 (+ b (+ c d)))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ b (+ c d))
(+ a (+ b (+ c d)))
(+ c d)
(+ a (+ c d))
c
(+ a c)
(* 2 a)
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(* a (+ 1 (+ (/ c a) (/ d a))))
(* a (+ 1 (/ c a)))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(* -1 (* a (- (* -1 (/ c a)) 1)))
(* 2 (+ a (+ c d)))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(* 2 b)
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(* 2 (+ a (+ b d)))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ a (+ b d))
(+ a d)
(* 2 c)
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(* c (+ 1 (+ (/ a c) (/ d c))))
(* c (+ 1 (/ a c)))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(* -1 (* c (- (* -1 (/ a c)) 1)))
(* 2 (+ a (+ b c)))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ a (+ b c))
(* 2 d)
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(* d (+ 1 (+ (/ a d) (/ c d))))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
Outputs
(* 2 (+ b (+ c d)))
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 d c) b))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(*.f64 (+.f64 (+.f64 (+.f64 d c) a) b) #s(literal 2 binary64))
(+ b (+ c d))
(+.f64 (+.f64 d c) b)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 d c) a) b)
(+ c d)
(+.f64 d c)
(+ a (+ c d))
(+.f64 (+.f64 d c) a)
c
(+ a c)
(+.f64 c a)
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(*.f64 (+.f64 (+.f64 (+.f64 d c) a) b) #s(literal 2 binary64))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(+.f64 (+.f64 (+.f64 d c) a) b)
(* a (+ 1 (+ (/ c a) (/ d a))))
(+.f64 (+.f64 d c) a)
(* a (+ 1 (/ c a)))
(+.f64 c a)
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 d c) a) b) #s(literal 2 binary64))
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(+.f64 (+.f64 (+.f64 d c) a) b)
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(+.f64 (+.f64 d c) a)
(* -1 (* a (- (* -1 (/ c a)) 1)))
(+.f64 c a)
(* 2 (+ a (+ c d)))
(*.f64 (+.f64 (+.f64 d c) a) #s(literal 2 binary64))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(*.f64 (+.f64 (+.f64 (+.f64 d c) a) b) #s(literal 2 binary64))
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(*.f64 (+.f64 (+.f64 (+.f64 d c) a) b) #s(literal 2 binary64))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(fma.f64 (/.f64 c b) b (+.f64 (+.f64 d b) a))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 d c) a) b) #s(literal 2 binary64))
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(+.f64 (+.f64 (+.f64 d c) a) b)
(* 2 (+ a (+ b d)))
(*.f64 (+.f64 (+.f64 d b) a) #s(literal 2 binary64))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 (+.f64 (+.f64 (+.f64 d c) a) b) #s(literal 2 binary64))
(+ a (+ b d))
(+.f64 (+.f64 d b) a)
(+ a d)
(+.f64 d a)
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 (+.f64 (+.f64 (+.f64 d c) a) b) #s(literal 2 binary64))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(fma.f64 (/.f64 b c) c (+.f64 (+.f64 d c) a))
(* c (+ 1 (+ (/ a c) (/ d c))))
(+.f64 (+.f64 d c) a)
(* c (+ 1 (/ a c)))
(+.f64 c a)
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 d c) a) b) #s(literal 2 binary64))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(fma.f64 (+.f64 (+.f64 d b) a) #s(literal 1 binary64) c)
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(+.f64 (+.f64 d c) a)
(* -1 (* c (- (* -1 (/ a c)) 1)))
(+.f64 c a)
(* 2 (+ a (+ b c)))
(*.f64 (+.f64 (+.f64 c b) a) #s(literal 2 binary64))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(*.f64 (+.f64 (+.f64 (+.f64 d c) a) b) #s(literal 2 binary64))
(+ a (+ b c))
(+.f64 (+.f64 c b) a)
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 (+.f64 (+.f64 (+.f64 d c) a) b) #s(literal 2 binary64))
d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(fma.f64 (/.f64 b d) d (+.f64 (+.f64 d c) a))
(* d (+ 1 (+ (/ a d) (/ c d))))
(+.f64 (+.f64 d c) a)
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 d c) a) b) #s(literal 2 binary64))
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(fma.f64 (+.f64 (+.f64 c b) a) #s(literal 1 binary64) d)
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(+.f64 (+.f64 d c) a)

rewrite237.0ms (4.4%)

Memory
11.1MiB live, 166.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01236
01536
18236
280336
0820036
Stop Event
iter limit
node limit
iter limit
Counts
4 → 111
Calls
Call 1
Inputs
(*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 c a) d)) #s(literal 2 binary64))
#s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 c a) d))
(+.f64 (+.f64 c a) d)
(+.f64 c a)
Outputs
(*.f64 #s(literal 2 binary64) #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 c a) d)))
(*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 c a) d)) #s(literal 2 binary64))
#s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 c a) d))
(*.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 c a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 d (+.f64 c a))))
(*.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 d a) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 c d) a)))
(*.f64 #s(literal 1 binary64) (+.f64 (+.f64 c a) d))
(*.f64 (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 (+.f64 d a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 c c (*.f64 (+.f64 d a) (-.f64 (+.f64 d a) c)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 c a) #s(literal 2 binary64)) (*.f64 d d))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (+.f64 c a) d))))
(*.f64 (neg.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (+.f64 c a) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 d (-.f64 d (+.f64 c a)) (pow.f64 (+.f64 c a) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 (+.f64 c a) #s(literal 2 binary64)) (*.f64 d d)) (pow.f64 (-.f64 (+.f64 c a) d) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (+.f64 c a) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 (+.f64 c a) (-.f64 (+.f64 c a) d)))))
(*.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (+.f64 c a) #s(literal 3 binary64))) (pow.f64 (fma.f64 d (-.f64 d (+.f64 c a)) (pow.f64 (+.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 c a) d)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 c a) #s(literal 2 binary64)) (-.f64 (+.f64 c a) d)) (/.f64 (pow.f64 (+.f64 c a) #s(literal 2 binary64)) (-.f64 (+.f64 c a) d))) (*.f64 (/.f64 (*.f64 d d) (-.f64 (+.f64 c a) d)) (/.f64 (*.f64 d d) (-.f64 (+.f64 c a) d)))) (+.f64 (/.f64 (pow.f64 (+.f64 c a) #s(literal 2 binary64)) (-.f64 (+.f64 c a) d)) (/.f64 (*.f64 d d) (-.f64 (+.f64 c a) d))))
(/.f64 (-.f64 (pow.f64 (+.f64 d a) #s(literal 2 binary64)) (*.f64 c c)) (-.f64 (+.f64 d a) c))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) #s(literal 2 binary64)) (*.f64 a a)) (-.f64 (+.f64 d c) a))
(/.f64 (-.f64 (*.f64 a a) (pow.f64 (+.f64 d c) #s(literal 2 binary64))) (-.f64 (-.f64 a c) d))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 c a) #s(literal 2 binary64)) (-.f64 (+.f64 c a) d)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 d d) (-.f64 (+.f64 c a) d)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (+.f64 c a) #s(literal 2 binary64)) (-.f64 (+.f64 c a) d)) (/.f64 (pow.f64 (+.f64 c a) #s(literal 2 binary64)) (-.f64 (+.f64 c a) d)) (fma.f64 (/.f64 (*.f64 d d) (-.f64 (+.f64 c a) d)) (/.f64 (*.f64 d d) (-.f64 (+.f64 c a) d)) (*.f64 (/.f64 (pow.f64 (+.f64 c a) #s(literal 2 binary64)) (-.f64 (+.f64 c a) d)) (/.f64 (*.f64 d d) (-.f64 (+.f64 c a) d))))))
(/.f64 (+.f64 (pow.f64 (+.f64 d a) #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 d a) #s(literal 2 binary64)) (-.f64 (*.f64 c c) (*.f64 (+.f64 d a) c))))
(/.f64 (+.f64 (pow.f64 (+.f64 d c) #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 d c) #s(literal 2 binary64)) (-.f64 (*.f64 a a) (*.f64 (+.f64 d c) a))))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 (+.f64 d c) #s(literal 3 binary64))) (fma.f64 a a (-.f64 (pow.f64 (+.f64 d c) #s(literal 2 binary64)) (*.f64 a (+.f64 d c)))))
(/.f64 (neg.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 c a) #s(literal 2 binary64)))) (neg.f64 (-.f64 d (+.f64 c a))))
(/.f64 (neg.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 d a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 c d) a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 (+.f64 d a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 c c (*.f64 (+.f64 d a) (-.f64 (+.f64 d a) c)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 c a) #s(literal 2 binary64)) (*.f64 d d)))) (neg.f64 (neg.f64 (-.f64 (+.f64 c a) d))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (+.f64 c a) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 d (-.f64 d (+.f64 c a)) (pow.f64 (+.f64 c a) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 c a) #s(literal 2 binary64)) (-.f64 (+.f64 c a) d)) (*.f64 (-.f64 (+.f64 c a) d) (*.f64 d d))) (*.f64 (-.f64 (+.f64 c a) d) (-.f64 (+.f64 c a) d)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 c a) d))))
(/.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 c a) #s(literal 2 binary64))) (-.f64 d (+.f64 c a)))
(/.f64 (-.f64 (*.f64 c c) (pow.f64 (+.f64 d a) #s(literal 2 binary64))) (-.f64 (-.f64 c d) a))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 d (+.f64 c a)) (-.f64 (*.f64 d d) (pow.f64 (+.f64 c a) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 c d) a) (-.f64 (*.f64 c c) (pow.f64 (+.f64 d a) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 c a) d)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 c c (*.f64 (+.f64 d a) (-.f64 (+.f64 d a) c))) (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 (+.f64 d a) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 d d (*.f64 (+.f64 c a) (-.f64 (+.f64 c a) d))) (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (+.f64 c a) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 c a) d)))
(/.f64 (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 (+.f64 d a) #s(literal 3 binary64))) (fma.f64 c c (*.f64 (+.f64 d a) (-.f64 (+.f64 d a) c))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 c a) #s(literal 2 binary64)) (*.f64 d d))) (neg.f64 (-.f64 (+.f64 c a) d)))
(/.f64 (neg.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (+.f64 c a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 d d (*.f64 (+.f64 c a) (-.f64 (+.f64 c a) d)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (+.f64 c a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 d (-.f64 d (+.f64 c a)) (pow.f64 (+.f64 c a) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 c a) #s(literal 2 binary64)) (*.f64 d d)) (-.f64 (+.f64 c a) d))
(/.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (+.f64 c a) #s(literal 3 binary64))) (fma.f64 d d (*.f64 (+.f64 c a) (-.f64 (+.f64 c a) d))))
(/.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (+.f64 c a) #s(literal 3 binary64))) (fma.f64 d (-.f64 d (+.f64 c a)) (pow.f64 (+.f64 c a) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 c a) #s(literal 2 binary64)) (*.f64 d d))) (-.f64 (+.f64 c a) d)))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (+.f64 c a) #s(literal 3 binary64)))) (fma.f64 d (-.f64 d (+.f64 c a)) (pow.f64 (+.f64 c a) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 c a) #s(literal 2 binary64)) (*.f64 d d)) (neg.f64 (-.f64 (+.f64 c a) d))))
(neg.f64 (/.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (+.f64 c a) #s(literal 3 binary64))) (neg.f64 (fma.f64 d (-.f64 d (+.f64 c a)) (pow.f64 (+.f64 c a) #s(literal 2 binary64))))))
(fma.f64 (*.f64 (+.f64 d c) (-.f64 d c)) (/.f64 #s(literal 1 binary64) (-.f64 d c)) a)
(fma.f64 (*.f64 (+.f64 c a) (-.f64 a c)) (/.f64 #s(literal 1 binary64) (-.f64 a c)) d)
(fma.f64 (*.f64 (+.f64 d a) (-.f64 a d)) (/.f64 #s(literal 1 binary64) (-.f64 a d)) c)
(fma.f64 #s(literal 1 binary64) (+.f64 c a) d)
(fma.f64 #s(literal 1 binary64) (+.f64 d c) a)
(fma.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 d (-.f64 d a)))) c)
(fma.f64 (*.f64 (neg.f64 (+.f64 d c)) (-.f64 c d)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 c d))) a)
(fma.f64 (neg.f64 (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 d (-.f64 d c) (*.f64 c c)))) a)
(fma.f64 (*.f64 (neg.f64 (+.f64 c a)) (-.f64 c a)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 c a))) d)
(fma.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a (-.f64 a c) (*.f64 c c)))) d)
(fma.f64 (*.f64 (+.f64 d c) (-.f64 c d)) (pow.f64 (-.f64 c d) #s(literal -1 binary64)) a)
(fma.f64 (*.f64 (+.f64 c a) (-.f64 c a)) (pow.f64 (-.f64 c a) #s(literal -1 binary64)) d)
(fma.f64 (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 d d (*.f64 c (-.f64 c d)))) a)
(fma.f64 (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64))) (pow.f64 (fma.f64 d (-.f64 d c) (*.f64 c c)) #s(literal -1 binary64)) a)
(fma.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 c (-.f64 c a)))) d)
(fma.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 (fma.f64 a (-.f64 a c) (*.f64 c c)) #s(literal -1 binary64)) d)
(fma.f64 (pow.f64 (+.f64 c a) #s(literal 2 binary64)) (pow.f64 (-.f64 (+.f64 c a) d) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 d d) (-.f64 (+.f64 c a) d))))
(-.f64 (+.f64 d (/.f64 (*.f64 c c) (-.f64 c a))) (/.f64 (*.f64 a a) (-.f64 c a)))
(-.f64 (+.f64 a (/.f64 (*.f64 c c) (-.f64 c d))) (/.f64 (*.f64 d d) (-.f64 c d)))
(-.f64 (/.f64 (*.f64 d d) (-.f64 d (+.f64 c a))) (/.f64 (pow.f64 (+.f64 c a) #s(literal 2 binary64)) (-.f64 d (+.f64 c a))))
(-.f64 (/.f64 (*.f64 c c) (-.f64 (-.f64 c d) a)) (/.f64 (pow.f64 (+.f64 d a) #s(literal 2 binary64)) (-.f64 (-.f64 c d) a)))
(-.f64 (/.f64 (*.f64 c c) (-.f64 c d)) (-.f64 (/.f64 (*.f64 d d) (-.f64 c d)) a))
(-.f64 (/.f64 (*.f64 c c) (-.f64 c a)) (-.f64 (/.f64 (*.f64 a a) (-.f64 c a)) d))
(-.f64 (/.f64 (pow.f64 (+.f64 c a) #s(literal 2 binary64)) (-.f64 (+.f64 c a) d)) (/.f64 (*.f64 d d) (-.f64 (+.f64 c a) d)))
(+.f64 (/.f64 (pow.f64 (+.f64 c a) #s(literal 2 binary64)) (-.f64 (+.f64 c a) d)) (neg.f64 (/.f64 (*.f64 d d) (-.f64 (+.f64 c a) d))))
(+.f64 (+.f64 d a) c)
(+.f64 (+.f64 c a) d)
(+.f64 (+.f64 d c) a)
(+.f64 d (+.f64 c a))
(+.f64 c (+.f64 d a))
(+.f64 a (+.f64 d c))
(*.f64 (*.f64 (+.f64 c a) (-.f64 a c)) (/.f64 #s(literal 1 binary64) (-.f64 a c)))
(*.f64 #s(literal 1 binary64) (+.f64 c a))
(*.f64 (*.f64 (neg.f64 (+.f64 c a)) (-.f64 c a)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 c a))))
(*.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a (-.f64 a c) (*.f64 c c)))))
(*.f64 (*.f64 (+.f64 c a) (-.f64 c a)) (pow.f64 (-.f64 c a) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 a a (*.f64 c (-.f64 c a)))))
(*.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 (fma.f64 a (-.f64 a c) (*.f64 c c)) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 c a)) #s(literal -1 binary64))
(/.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)))) (+.f64 (/.f64 (*.f64 c c) (-.f64 c a)) (/.f64 (*.f64 a a) (-.f64 c a))))
(/.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 (neg.f64 (*.f64 (+.f64 c a) (-.f64 a c))) (neg.f64 (-.f64 a c)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 c a)) (-.f64 c a))) (neg.f64 (neg.f64 (-.f64 c a))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 a (-.f64 a c) (*.f64 c c)))))
(/.f64 (-.f64 (*.f64 (*.f64 c c) (-.f64 c a)) (*.f64 (-.f64 c a) (*.f64 a a))) (pow.f64 (-.f64 c a) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 c a))))
(/.f64 (*.f64 (+.f64 c a) (-.f64 a c)) (-.f64 a c))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 a c) (*.f64 (+.f64 c a) (-.f64 a c))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 c a)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a a (*.f64 c (-.f64 c a))) (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 c a)))
(/.f64 (*.f64 (neg.f64 (+.f64 c a)) (-.f64 c a)) (neg.f64 (-.f64 c a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (neg.f64 (fma.f64 a a (*.f64 c (-.f64 c a)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64)))) (neg.f64 (fma.f64 a (-.f64 a c) (*.f64 c c))))
(/.f64 (*.f64 (+.f64 c a) (-.f64 c a)) (-.f64 c a))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (fma.f64 a a (*.f64 c (-.f64 c a))))
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (fma.f64 a (-.f64 a c) (*.f64 c c)))
(neg.f64 (neg.f64 (+.f64 c a)))
(fma.f64 (*.f64 c c) (pow.f64 (-.f64 c a) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 a a) (-.f64 c a))))
(-.f64 (/.f64 (*.f64 a a) (-.f64 a c)) (/.f64 (*.f64 c c) (-.f64 a c)))
(-.f64 (/.f64 (*.f64 c c) (-.f64 c a)) (/.f64 (*.f64 a a) (-.f64 c a)))
(+.f64 (/.f64 (*.f64 c c) (-.f64 c a)) (neg.f64 (/.f64 (*.f64 a a) (-.f64 c a))))
(+.f64 c a)
(+.f64 a c)

eval26.0ms (0.5%)

Memory
-12.4MiB live, 24.7MiB allocated
Compiler

Compiled 3 508 to 616 computations (82.4% saved)

prune6.0ms (0.1%)

Memory
11.8MiB live, 11.8MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New1321133
Fresh000
Picked011
Done055
Total1327139
Accuracy
100.0%
Counts
139 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64))
11.6%
(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))) #s(literal 2 binary64))
11.6%
(*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 d a) c)) #s(literal 2 binary64))
11.6%
(*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 c a) d)) #s(literal 2 binary64))
9.0%
(*.f64 #s(approx (+ a (+ b (+ c d))) #s(approx (+ (+ c a) d) (+.f64 d a))) #s(literal 2 binary64))
11.5%
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) c))
6.3%
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) b))
Compiler

Compiled 203 to 120 computations (40.9% saved)

regimes40.0ms (0.8%)

Memory
-2.6MiB live, 35.3MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) b))
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) c))
(*.f64 #s(approx (+ a (+ b (+ c d))) #s(approx (+ (+ c a) d) (+.f64 d a))) #s(literal 2 binary64))
(*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 c a) d)) #s(literal 2 binary64))
(*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 d a) c)) #s(literal 2 binary64))
(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))) #s(literal 2 binary64))
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
(*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64))
Outputs
(*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64))
Calls

8 calls:

17.0ms
(+.f64 a (+.f64 b (+.f64 c d)))
3.0ms
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
3.0ms
(+.f64 c d)
3.0ms
(+.f64 b (+.f64 c d))
3.0ms
c
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 28 to 43 computations (-53.6% saved)

regimes98.0ms (1.8%)

Memory
-10.5MiB live, 35.7MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) b))
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) c))
(*.f64 #s(approx (+ a (+ b (+ c d))) #s(approx (+ (+ c a) d) (+.f64 d a))) #s(literal 2 binary64))
(*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 c a) d)) #s(literal 2 binary64))
(*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 d a) c)) #s(literal 2 binary64))
(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))) #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:

77.0ms
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
3.0ms
(+.f64 c d)
3.0ms
b
3.0ms
d
3.0ms
c
Results
AccuracySegmentsBranch
94.2%1a
94.2%1b
94.2%1c
94.2%1d
94.2%1(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
94.2%1(+.f64 a (+.f64 b (+.f64 c d)))
94.2%1(+.f64 b (+.f64 c d))
94.2%1(+.f64 c d)
Compiler

Compiled 28 to 43 computations (-53.6% saved)

regimes58.0ms (1.1%)

Memory
-2.6MiB live, 35.9MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) b))
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) c))
(*.f64 #s(approx (+ a (+ b (+ c d))) #s(approx (+ (+ c a) d) (+.f64 d a))) #s(literal 2 binary64))
(*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 c a) d)) #s(literal 2 binary64))
(*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 d a) c)) #s(literal 2 binary64))
(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 d c))) #s(literal 2 binary64))
Outputs
(*.f64 #s(approx (+ a (+ b (+ c d))) #s(approx (+ (+ c a) d) (+.f64 d a))) #s(literal 2 binary64))
(*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 c a) d)) #s(literal 2 binary64))
Calls

8 calls:

39.0ms
d
3.0ms
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
3.0ms
b
3.0ms
(+.f64 b (+.f64 c d))
3.0ms
c
Results
AccuracySegmentsBranch
11.6%1c
13.7%2(+.f64 c d)
11.6%1a
13.6%2d
15.0%2(+.f64 b (+.f64 c d))
13.6%2b
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 28 to 43 computations (-53.6% saved)

regimes4.0ms (0.1%)

Memory
8.0MiB live, 8.0MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) b))
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) c))
(*.f64 #s(approx (+ a (+ b (+ c d))) #s(approx (+ (+ c a) d) (+.f64 d a))) #s(literal 2 binary64))
Outputs
(*.f64 #s(approx (+ a (+ b (+ c d))) #s(approx (+ (+ c a) d) (+.f64 d a))) #s(literal 2 binary64))
#s(approx (* (+ a (+ b (+ c d))) 2) (*.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
16.9%2(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
16.9%2(+.f64 a (+.f64 b (+.f64 c d)))
Compiler

Compiled 16 to 16 computations (0% saved)

regimes4.0ms (0.1%)

Memory
8.4MiB live, 8.4MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) b))
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) c))
Outputs
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) b))
#s(approx (* (+ a (+ b (+ c d))) 2) (*.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
16.3%2(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
16.3%2(+.f64 a (+.f64 b (+.f64 c d)))
Compiler

Compiled 16 to 16 computations (0% saved)

regimes29.0ms (0.5%)

Memory
-8.7MiB live, 30.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) b))
Outputs
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) b))
Calls

8 calls:

19.0ms
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
1.0ms
(+.f64 b (+.f64 c d))
1.0ms
b
1.0ms
(+.f64 a (+.f64 b (+.f64 c d)))
1.0ms
(+.f64 c d)
Results
AccuracySegmentsBranch
6.3%1c
6.3%1a
6.3%1b
6.3%1d
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 28 to 43 computations (-53.6% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0024150388558314972
0.007947071743746648
Compiler

Compiled 12 to 16 computations (-33.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0024150388558314972
0.007947071743746648
Compiler

Compiled 12 to 16 computations (-33.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0024150388558314972
0.007947071743746648
Compiler

Compiled 12 to 16 computations (-33.3% saved)

simplify44.0ms (0.8%)

Memory
12.9MiB live, 52.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035153
149153
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #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 -1152921504606847/576460752303423488 binary64)) (*.f64 #s(approx (+ a (+ b (+ c d))) #s(approx (+ (+ c a) d) (+.f64 d a))) #s(literal 2 binary64)) (*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 c a) d)) #s(literal 2 binary64)))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -1152921504606847/576460752303423488 binary64)) (*.f64 #s(approx (+ a (+ b (+ c d))) #s(approx (+ (+ c a) d) (+.f64 d a))) #s(literal 2 binary64)) #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) c)))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -1152921504606847/576460752303423488 binary64)) #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) b)) #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) c)))
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) b))
Outputs
(*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 b c) (+.f64 a d)))
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
(*.f64 (+.f64 (+.f64 (+.f64 c d) b) a) #s(literal 2 binary64))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -1152921504606847/576460752303423488 binary64)) (*.f64 #s(approx (+ a (+ b (+ c d))) #s(approx (+ (+ c a) d) (+.f64 d a))) #s(literal 2 binary64)) (*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 c a) d)) #s(literal 2 binary64)))
(if (<=.f64 (+.f64 (+.f64 (+.f64 c d) b) a) #s(literal -1152921504606847/576460752303423488 binary64)) (*.f64 #s(approx (+ a (+ b (+ c d))) #s(approx (+ (+ c a) d) (+.f64 a d))) #s(literal 2 binary64)) (*.f64 #s(approx (+ a (+ b (+ c d))) (+.f64 (+.f64 c a) d)) #s(literal 2 binary64)))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -1152921504606847/576460752303423488 binary64)) (*.f64 #s(approx (+ a (+ b (+ c d))) #s(approx (+ (+ c a) d) (+.f64 d a))) #s(literal 2 binary64)) #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) c)))
(if (<=.f64 (+.f64 (+.f64 (+.f64 c d) b) a) #s(literal -1152921504606847/576460752303423488 binary64)) (*.f64 #s(approx (+ a (+ b (+ c d))) #s(approx (+ (+ c a) d) (+.f64 a d))) #s(literal 2 binary64)) #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) c)))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -1152921504606847/576460752303423488 binary64)) #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) b)) #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) c)))
(if (<=.f64 (+.f64 (+.f64 (+.f64 c d) b) a) #s(literal -1152921504606847/576460752303423488 binary64)) #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) b)) #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) c)))
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) b))

soundness807.0ms (15.1%)

Memory
27.8MiB live, 603.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0924
01324
15824
256924
0824724
0141322
1439322
21246318
33951302
47971302
08833297
0137294
1436294
21261294
34076290
08106289
0162327
1515327
21443325
34523320
47540320
08276319
01236
01536
18236
280436
0827136
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 270 to 165 computations (38.9% saved)

preprocess101.0ms (1.9%)

Memory
-30.9MiB live, 125.2MiB allocated
Remove

(sort a b c d)

Compiler

Compiled 400 to 164 computations (59% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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