Expression, p14

Time bar (total: 4.6s)

start0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated

analyze345.0ms (7.5%)

Memory
10.9MiB live, 450.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
0%0%0%100%0%0%0%3
0%0%0%100%0%0%0%4
25%0%0%100%0%0%0%5
25%0%0%100%0%0%0%6
25%0%0%100%0%0%0%7
37.5%0%0%100%0%0%0%8
56.3%0%0%100%0%0%0%9
56.3%0%0%100%0%0%0%10
56.3%0%0%100%0%0%0%11
65.6%0%0%100%0%0%0%12
Compiler

Compiled 39 to 28 computations (28.2% saved)

sample2.0s (43.8%)

Memory
64.0MiB live, 1 894.0MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 948.0ms
ival-<=: 371.0ms (39.1% of total)
ival-mult: 212.0ms (22.4% of total)
const: 157.0ms (16.6% of total)
ival-add: 144.0ms (15.2% of total)
ival-and: 44.0ms (4.6% of total)
exact: 17.0ms (1.8% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain201.0ms (4.3%)

Memory
-23.1MiB live, 67.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 a (+.f64 (+.f64 b c) d))
00-0-(+.f64 b c)
00-0-c
00-0-a
00-0-d
00-0-(+.f64 (+.f64 b c) d)
00-0-b
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
153.0ms512×0valid
Compiler

Compiled 49 to 25 computations (49% saved)

Precisions
Click to see histograms. Total time spent on operations: 138.0ms
ival-add: 134.0ms (97.4% of total)
ival-mult: 3.0ms (2.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess207.0ms (4.5%)

Memory
18.3MiB live, 63.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040116
1149108
2487105
31023102
4171399
5293799
6482199
7567099
8586199
9606199
10634999
11650799
12776399
13788099
14790899
15792099
16792099
17792099
077
0107
1217
2497
31277
42357
54107
65607
78857
812737
915187
1016337
1116937
016937
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 a (+.f64 (+.f64 b c) d))
Outputs
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 (+.f64 d (+.f64 c b)) a)
Symmetry

(negabs a)

(sort b c d)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.f64 a (+.f64 (+.f64 b c) d))
Compiler

Compiled 7 to 7 computations (0% saved)

simplify28.0ms (0.6%)

Memory
13.8MiB live, 13.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 b c)
cost-diff0
(+.f64 (+.f64 b c) d)
cost-diff0
(*.f64 a (+.f64 (+.f64 b c) d))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
01019
12119
24919
312719
423519
541019
656019
788519
8127319
9151819
10163319
11169319
0169319
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 a (+.f64 (+.f64 b c) d))
a
(+.f64 (+.f64 b c) d)
(+.f64 b c)
b
c
d
Outputs
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 (+.f64 d (+.f64 c b)) a)
a
(+.f64 (+.f64 b c) d)
(+.f64 d (+.f64 c b))
(+.f64 b c)
(+.f64 c b)
b
c
d

localize42.0ms (0.9%)

Memory
-34.9MiB live, 19.0MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 (+.f64 b c) d)
accuracy0.0
(+.f64 b c)
accuracy0.0390625
(*.f64 a (+.f64 (+.f64 b c) d))
Samples
38.0ms256×0valid
Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-add: 21.0ms (91% of total)
ival-mult: 2.0ms (8.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
8.5MiB live, 8.5MiB allocated
Counts
3 → 33
Calls
Call 1
Inputs
(*.f64 a (+.f64 (+.f64 b c) d))
(+.f64 (+.f64 b c) d)
(+.f64 b c)
Outputs
(* a (+ b (+ c d)))
(* a (+ c d))
(+ (* a b) (* a (+ c d)))
(+ c d)
(+ b (+ c d))
c
(+ b c)
(* a b)
(* b (+ a (/ (* a (+ c d)) b)))
b
(* b (+ 1 (+ (/ c b) (/ d b))))
(* b (+ 1 (/ c b)))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(* -1 (* b (- (* -1 (/ c b)) 1)))
(* a (+ b d))
(+ (* a c) (* a (+ b d)))
(+ b d)
(* a c)
(* c (+ a (/ (* a (+ b d)) c)))
(* c (+ 1 (+ (/ b c) (/ d c))))
(* c (+ 1 (/ b c)))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(* -1 (* c (- (* -1 (/ b c)) 1)))
(* a (+ b c))
(+ (* a d) (* a (+ b c)))
(* a d)
(* d (+ a (/ (* a (+ b c)) d)))
d
(* d (+ 1 (+ (/ b d) (/ c d))))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
Calls

12 calls:

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

simplify124.0ms (2.7%)

Memory
14.4MiB live, 102.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084183
1289183
2945183
33637183
08223183
Stop Event
iter limit
node limit
Counts
33 → 30
Calls
Call 1
Inputs
(* a (+ b (+ c d)))
(* a (+ c d))
(+ (* a b) (* a (+ c d)))
(+ c d)
(+ b (+ c d))
c
(+ b c)
(* a b)
(* b (+ a (/ (* a (+ c d)) b)))
b
(* b (+ 1 (+ (/ c b) (/ d b))))
(* b (+ 1 (/ c b)))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(* -1 (* b (- (* -1 (/ c b)) 1)))
(* a (+ b d))
(+ (* a c) (* a (+ b d)))
(+ b d)
(* a c)
(* c (+ a (/ (* a (+ b d)) c)))
(* c (+ 1 (+ (/ b c) (/ d c))))
(* c (+ 1 (/ b c)))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(* -1 (* c (- (* -1 (/ b c)) 1)))
(* a (+ b c))
(+ (* a d) (* a (+ b c)))
(* a d)
(* d (+ a (/ (* a (+ b c)) d)))
d
(* d (+ 1 (+ (/ b d) (/ c d))))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
Outputs
(* a (+ b (+ c d)))
(*.f64 (+.f64 (+.f64 d b) c) a)
(* a (+ c d))
(*.f64 (+.f64 d c) a)
(+ (* a b) (* a (+ c d)))
(*.f64 (+.f64 (+.f64 d b) c) a)
(+ c d)
(+.f64 d c)
(+ b (+ c d))
(+.f64 (+.f64 d b) c)
c
(+ b c)
(+.f64 c b)
(* a b)
(*.f64 b a)
(* b (+ a (/ (* a (+ c d)) b)))
(*.f64 (+.f64 (+.f64 d b) c) a)
b
(* b (+ 1 (+ (/ c b) (/ d b))))
(+.f64 (+.f64 d b) c)
(* b (+ 1 (/ c b)))
(+.f64 c b)
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(*.f64 (+.f64 (+.f64 d b) c) a)
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(*.f64 (neg.f64 b) (-.f64 (/.f64 (-.f64 (neg.f64 c) d) b) #s(literal 1 binary64)))
(* -1 (* b (- (* -1 (/ c b)) 1)))
(*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 c) b) #s(literal 1 binary64)))
(* a (+ b d))
(*.f64 (+.f64 d b) a)
(+ (* a c) (* a (+ b d)))
(*.f64 (+.f64 (+.f64 d b) c) a)
(+ b d)
(+.f64 d b)
(* a c)
(*.f64 c a)
(* c (+ a (/ (* a (+ b d)) c)))
(*.f64 (+.f64 (+.f64 d b) c) a)
(* c (+ 1 (+ (/ b c) (/ d c))))
(+.f64 (+.f64 d b) c)
(* c (+ 1 (/ b c)))
(+.f64 c b)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(*.f64 (+.f64 (+.f64 d b) c) a)
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(*.f64 (neg.f64 c) (-.f64 (/.f64 (-.f64 (neg.f64 d) b) c) #s(literal 1 binary64)))
(* -1 (* c (- (* -1 (/ b c)) 1)))
(*.f64 (neg.f64 c) (-.f64 (/.f64 (neg.f64 b) c) #s(literal 1 binary64)))
(* a (+ b c))
(*.f64 (+.f64 c b) a)
(+ (* a d) (* a (+ b c)))
(*.f64 (+.f64 (+.f64 d b) c) a)
(* a d)
(*.f64 d a)
(* d (+ a (/ (* a (+ b c)) d)))
(*.f64 (+.f64 (+.f64 d b) c) a)
d
(* d (+ 1 (+ (/ b d) (/ c d))))
(+.f64 (+.f64 d b) c)
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(*.f64 (+.f64 (+.f64 d b) c) a)
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(*.f64 (neg.f64 d) (-.f64 (/.f64 (-.f64 (neg.f64 b) c) d) #s(literal 1 binary64)))

rewrite214.0ms (4.6%)

Memory
-53.5MiB live, 218.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
01015
14615
238515
3555215
0849315
Stop Event
iter limit
node limit
iter limit
Counts
3 → 227
Calls
Call 1
Inputs
(*.f64 a (+.f64 (+.f64 b c) d))
(+.f64 (+.f64 b c) d)
(+.f64 b c)
Outputs
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (+.f64 c b) #s(literal 3 binary64))) a) (-.f64 (pow.f64 (+.f64 c b) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 d (+.f64 c b)) d) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 c b) #s(literal 2 binary64)) (*.f64 (-.f64 d (+.f64 c b)) d)))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (+.f64 c b) #s(literal 3 binary64))) a) (+.f64 (pow.f64 (*.f64 (-.f64 d (+.f64 c b)) d) #s(literal 3 binary64)) (pow.f64 (+.f64 c b) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 d (+.f64 c b)) d) (-.f64 (*.f64 (-.f64 d (+.f64 c b)) d) (pow.f64 (+.f64 c b) #s(literal 2 binary64))) (pow.f64 (+.f64 c b) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 d) d (pow.f64 (+.f64 c b) #s(literal 2 binary64))) a) (-.f64 (pow.f64 (+.f64 c b) #s(literal 3 binary64)) (pow.f64 d #s(literal 3 binary64)))) (fma.f64 d (+.f64 d (+.f64 c b)) (pow.f64 (+.f64 c b) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 d) d (pow.f64 (+.f64 c b) #s(literal 2 binary64))) a) (fma.f64 (neg.f64 d) d (pow.f64 (+.f64 c b) #s(literal 2 binary64)))) (+.f64 d (+.f64 c b)))
(*.f64 (fma.f64 (neg.f64 d) d (pow.f64 (+.f64 c b) #s(literal 2 binary64))) (/.f64 a (-.f64 (+.f64 c b) d)))
(*.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (+.f64 c b) #s(literal 3 binary64))) (/.f64 a (fma.f64 (-.f64 d (+.f64 c b)) d (pow.f64 (+.f64 c b) #s(literal 2 binary64)))))
(*.f64 (+.f64 d (+.f64 c b)) a)
(*.f64 a (-.f64 (+.f64 c b) (neg.f64 d)))
(*.f64 a (+.f64 d (+.f64 c b)))
(/.f64 (*.f64 (-.f64 (*.f64 d d) (pow.f64 (+.f64 c b) #s(literal 2 binary64))) a) (-.f64 d (+.f64 c b)))
(/.f64 (*.f64 (-.f64 (*.f64 b b) (pow.f64 (+.f64 d c) #s(literal 2 binary64))) a) (-.f64 (-.f64 b c) d))
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 d c) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) a) (fma.f64 (+.f64 d c) (-.f64 (+.f64 d c) b) (*.f64 b b)))
(/.f64 (*.f64 (neg.f64 (fma.f64 (neg.f64 d) d (pow.f64 (+.f64 c b) #s(literal 2 binary64)))) a) (neg.f64 (-.f64 (+.f64 c b) d)))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (+.f64 c b) #s(literal 3 binary64)))) a) (neg.f64 (fma.f64 (-.f64 d (+.f64 c b)) d (pow.f64 (+.f64 c b) #s(literal 2 binary64)))))
(/.f64 (*.f64 a (-.f64 (*.f64 d d) (pow.f64 (+.f64 c b) #s(literal 2 binary64)))) (-.f64 d (+.f64 c b)))
(/.f64 (*.f64 a (-.f64 (*.f64 b b) (pow.f64 (+.f64 d c) #s(literal 2 binary64)))) (-.f64 (-.f64 b c) d))
(/.f64 (*.f64 a (+.f64 (pow.f64 (+.f64 d c) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 (+.f64 d c) (-.f64 (+.f64 d c) b) (*.f64 b b)))
(/.f64 (*.f64 a (neg.f64 (fma.f64 (neg.f64 d) d (pow.f64 (+.f64 c b) #s(literal 2 binary64))))) (neg.f64 (-.f64 (+.f64 c b) d)))
(/.f64 (*.f64 a (neg.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (+.f64 c b) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 d (+.f64 c b)) d (pow.f64 (+.f64 c b) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 b a) (*.f64 b a)) (*.f64 (*.f64 (+.f64 d c) a) (*.f64 (+.f64 d c) a))) (-.f64 (*.f64 b a) (*.f64 (+.f64 d c) a)))
(/.f64 (-.f64 (pow.f64 (*.f64 d a) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 c b) a) #s(literal 2 binary64))) (-.f64 (*.f64 d a) (*.f64 (+.f64 c b) a)))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 c b) a) #s(literal 3 binary64)) (pow.f64 (*.f64 d a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 c b) a) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 d a) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 c b) a) (*.f64 (neg.f64 a) d)))))
(/.f64 (+.f64 (pow.f64 (*.f64 b a) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 d c) a) #s(literal 3 binary64))) (fma.f64 (*.f64 b a) (*.f64 b a) (-.f64 (*.f64 (*.f64 (+.f64 d c) a) (*.f64 (+.f64 d c) a)) (*.f64 (*.f64 b a) (*.f64 (+.f64 d c) a)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (+.f64 c b) #s(literal 3 binary64))) a)) (neg.f64 (fma.f64 (-.f64 d (+.f64 c b)) d (pow.f64 (+.f64 c b) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 d) d (pow.f64 (+.f64 c b) #s(literal 2 binary64))) a)) (neg.f64 (-.f64 (+.f64 c b) d)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 c b) a) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64)))) (neg.f64 (*.f64 a (-.f64 (+.f64 c b) d))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 d a) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 c b) a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 d a) (-.f64 (*.f64 d a) (*.f64 (+.f64 c b) a)) (pow.f64 (*.f64 (+.f64 c b) a) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 d #s(literal 3 binary64)) (pow.f64 (+.f64 c b) #s(literal 3 binary64))) a) (fma.f64 (-.f64 d (+.f64 c b)) d (pow.f64 (+.f64 c b) #s(literal 2 binary64))))
(/.f64 (*.f64 (fma.f64 (neg.f64 d) d (pow.f64 (+.f64 c b) #s(literal 2 binary64))) a) (-.f64 (+.f64 c b) d))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 c b) a) #s(literal 2 binary64)) (pow.f64 (*.f64 d a) #s(literal 2 binary64))) (*.f64 a (-.f64 (+.f64 c b) d)))
(/.f64 (+.f64 (pow.f64 (*.f64 d a) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 c b) a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 d a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 c b) a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 c b) a) d) a))))
(/.f64 (+.f64 (pow.f64 (*.f64 d a) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 c b) a) #s(literal 3 binary64))) (fma.f64 (*.f64 d a) (-.f64 (*.f64 d a) (*.f64 (+.f64 c b) a)) (pow.f64 (*.f64 (+.f64 c b) a) #s(literal 2 binary64))))
(fma.f64 (/.f64 (*.f64 (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) a) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 c b) c) #s(literal 2 binary64)))) (-.f64 (*.f64 b b) (*.f64 (-.f64 c b) c)) (*.f64 (neg.f64 (neg.f64 d)) a))
(fma.f64 (/.f64 (*.f64 (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) a) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 c b) c) #s(literal 2 binary64)))) (-.f64 (*.f64 b b) (*.f64 (-.f64 c b) c)) (*.f64 (neg.f64 (neg.f64 a)) d))
(fma.f64 (/.f64 (*.f64 (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) a) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 c b) c) #s(literal 2 binary64)))) (-.f64 (*.f64 b b) (*.f64 (-.f64 c b) c)) (*.f64 d a))
(fma.f64 (/.f64 (*.f64 (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) a) (+.f64 (pow.f64 (*.f64 (-.f64 c b) c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 c b) c) (-.f64 (*.f64 (-.f64 c b) c) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (neg.f64 (neg.f64 d)) a))
(fma.f64 (/.f64 (*.f64 (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) a) (+.f64 (pow.f64 (*.f64 (-.f64 c b) c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 c b) c) (-.f64 (*.f64 (-.f64 c b) c) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (neg.f64 (neg.f64 a)) d))
(fma.f64 (/.f64 (*.f64 (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) a) (+.f64 (pow.f64 (*.f64 (-.f64 c b) c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 c b) c) (-.f64 (*.f64 (-.f64 c b) c) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (*.f64 d a))
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(fma.f64 b (/.f64 (*.f64 b b) (fma.f64 (-.f64 c b) c (*.f64 b b))) (/.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 (-.f64 c b) c (*.f64 b b))))
(fma.f64 b (/.f64 b (-.f64 b c)) (/.f64 (*.f64 (neg.f64 c) c) (-.f64 b c)))
(-.f64 (/.f64 (*.f64 c c) (-.f64 c b)) (/.f64 (*.f64 b b) (-.f64 c b)))
(-.f64 (*.f64 b (/.f64 b (-.f64 b c))) (*.f64 c (/.f64 c (-.f64 b c))))
(+.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 (-.f64 c b) c (*.f64 b b))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 c b) c (*.f64 b b))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (-.f64 c b) c (*.f64 b b))) (/.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 (-.f64 c b) c (*.f64 b b))))
(+.f64 (*.f64 b (/.f64 b (-.f64 b c))) (/.f64 (*.f64 (neg.f64 c) c) (-.f64 b c)))
(+.f64 c b)
(+.f64 b c)

eval58.0ms (1.3%)

Memory
-6.7MiB live, 97.1MiB allocated
Compiler

Compiled 6 265 to 816 computations (87% saved)

prune5.0ms (0.1%)

Memory
18.6MiB live, 18.6MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2385243
Fresh000
Picked101
Done000
Total2395244
Accuracy
100.0%
Counts
244 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (+.f64 d b) a (*.f64 c a))
100.0%
(fma.f64 (+.f64 c b) a (*.f64 d a))
99.9%
(*.f64 a (+.f64 (+.f64 d c) b))
99.8%
(*.f64 a #s(approx (+ (+ b c) d) (+.f64 d c)))
94.4%
#s(approx (* a (+ (+ b c) d)) (*.f64 d a))
Compiler

Compiled 90 to 78 computations (13.3% saved)

simplify32.0ms (0.7%)

Memory
0.6MiB live, 46.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 d a)
cost-diff0
(+.f64 c b)
cost-diff1
(fma.f64 (+.f64 c b) a (*.f64 d a))
cost-diff0
(+.f64 d c)
cost-diff0
(+.f64 (+.f64 d c) b)
cost-diff0
(*.f64 a (+.f64 (+.f64 d c) b))
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 d a)
cost-diff0
#s(approx (* a (+ (+ b c) d)) (*.f64 d a))
cost-diff0
(*.f64 c a)
cost-diff0
(+.f64 d b)
cost-diff1
(fma.f64 (+.f64 d b) a (*.f64 c a))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01997
03195
16795
211695
321895
437595
551695
677995
7121695
8155595
9170595
10179595
0179595
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (+.f64 d b) a (*.f64 c a))
(+.f64 d b)
d
b
a
(*.f64 c a)
c
#s(approx (* a (+ (+ b c) d)) (*.f64 d a))
(*.f64 d a)
d
a
(*.f64 a #s(approx (+ (+ b c) d) (+.f64 d c)))
a
#s(approx (+ (+ b c) d) (+.f64 d c))
(+.f64 d c)
d
c
(*.f64 a (+.f64 (+.f64 d c) b))
a
(+.f64 (+.f64 d c) b)
(+.f64 d c)
d
c
b
(fma.f64 (+.f64 c b) a (*.f64 d a))
(+.f64 c b)
c
b
a
(*.f64 d a)
d
Outputs
(fma.f64 (+.f64 d b) a (*.f64 c a))
(*.f64 (+.f64 (+.f64 c d) b) a)
(+.f64 d b)
(+.f64 b d)
d
b
a
(*.f64 c a)
c
#s(approx (* a (+ (+ b c) d)) (*.f64 d a))
#s(approx (* a (+ (+ b c) d)) (*.f64 a d))
(*.f64 d a)
(*.f64 a d)
d
a
(*.f64 a #s(approx (+ (+ b c) d) (+.f64 d c)))
(*.f64 #s(approx (+ (+ b c) d) (+.f64 c d)) a)
a
#s(approx (+ (+ b c) d) (+.f64 d c))
#s(approx (+ (+ b c) d) (+.f64 c d))
(+.f64 d c)
(+.f64 c d)
d
c
(*.f64 a (+.f64 (+.f64 d c) b))
(*.f64 (+.f64 (+.f64 c d) b) a)
a
(+.f64 (+.f64 d c) b)
(+.f64 (+.f64 c d) b)
(+.f64 d c)
(+.f64 c d)
d
c
b
(fma.f64 (+.f64 c b) a (*.f64 d a))
(*.f64 (+.f64 (+.f64 c d) b) a)
(+.f64 c b)
c
b
a
(*.f64 d a)
(*.f64 a d)
d

localize68.0ms (1.5%)

Memory
-12.5MiB live, 86.4MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 c b)
accuracy0.0
(*.f64 d a)
accuracy0.015625
(fma.f64 (+.f64 c b) a (*.f64 d a))
accuracy0.0
(+.f64 d c)
accuracy0.00390625
(+.f64 (+.f64 d c) b)
accuracy0.0390625
(*.f64 a (+.f64 (+.f64 d c) b))
accuracy0.0
(+.f64 d c)
accuracy0.0390625
(*.f64 a #s(approx (+ (+ b c) d) (+.f64 d c)))
accuracy0.10690415345988728
#s(approx (+ (+ b c) d) (+.f64 d c))
accuracy0.0
(*.f64 d a)
accuracy3.588428521250526
#s(approx (* a (+ (+ b c) d)) (*.f64 d a))
accuracy0.0
(+.f64 d b)
accuracy0.0
(*.f64 c a)
accuracy0.0078125
(fma.f64 (+.f64 d b) a (*.f64 c a))
Samples
57.0ms256×0valid
Compiler

Compiled 89 to 20 computations (77.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-add: 12.0ms (58.4% of total)
ival-mult: 8.0ms (39% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.3%)

Memory
25.5MiB live, 25.5MiB allocated
Counts
12 → 53
Calls
Call 1
Inputs
(fma.f64 (+.f64 d b) a (*.f64 c a))
(+.f64 d b)
(*.f64 c a)
#s(approx (* a (+ (+ b c) d)) (*.f64 d a))
(*.f64 d a)
(*.f64 a #s(approx (+ (+ b c) d) (+.f64 d c)))
#s(approx (+ (+ b c) d) (+.f64 d c))
(+.f64 d c)
(*.f64 a (+.f64 (+.f64 d c) b))
(+.f64 (+.f64 d c) b)
(fma.f64 (+.f64 c b) a (*.f64 d a))
(+.f64 c b)
Outputs
(* a (+ b (+ c d)))
(* a c)
(* a d)
(* -1 (* a (+ (* -1 c) (* -1 (+ b d)))))
(* -1 (* a (+ (* -1 d) (* -1 (+ b c)))))
(+ (* a c) (* a d))
(+ (* a b) (+ (* a c) (* a d)))
d
(+ b d)
(* a (+ c d))
(+ (* a b) (* a (+ c d)))
(+ c d)
(+ b (+ c d))
c
(+ b c)
(* a b)
(* b (+ a (+ (/ (* a c) b) (/ (* a d) b))))
b
(* b (+ 1 (/ d b)))
(* b (+ a (/ (* a (+ c d)) b)))
(* b (+ 1 (+ (/ c b) (/ d b))))
(* b (+ 1 (/ c b)))
(* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* a c) (* a d)) b)))))
(* -1 (* b (- (* -1 (/ d b)) 1)))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(* -1 (* b (- (* -1 (/ c b)) 1)))
(* a (+ b d))
(+ (* a c) (* a (+ b d)))
(+ (* a b) (* a d))
(* c (+ a (/ (* a (+ b d)) c)))
(* c (+ 1 (+ (/ b c) (/ d c))))
(* c (+ 1 (/ d c)))
(* c (+ a (+ (/ (* a b) c) (/ (* a d) c))))
(* c (+ 1 (/ b c)))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(* -1 (* c (- (* -1 (/ d c)) 1)))
(* -1 (* c (+ (* -1 a) (* -1 (/ (+ (* a b) (* a d)) c)))))
(* -1 (* c (- (* -1 (/ b c)) 1)))
(+ (* a b) (* a c))
(* a (+ b c))
(+ (* a d) (* a (+ b c)))
(* d (+ a (+ (/ (* a b) d) (/ (* a c) d))))
(* d (+ 1 (/ b d)))
(* d (+ a (/ (* a (+ b c)) d)))
(* d (+ 1 (+ (/ b d) (/ c d))))
(* d (+ 1 (/ c d)))
(* -1 (* d (+ (* -1 a) (* -1 (/ (+ (* a b) (* a c)) d)))))
(* -1 (* d (- (* -1 (/ b d)) 1)))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(* -1 (* d (- (* -1 (/ c d)) 1)))
Calls

12 calls:

TimeVariablePointExpression
3.0ms
a
@-inf
((+ (* (+ d b) a) (* c a)) (+ d b) (* c a) (* a (+ (+ b c) d)) (* d a) (* a (+ (+ b c) d)) (+ (+ b c) d) (+ d c) (* a (+ (+ d c) b)) (+ (+ d c) b) (+ (* (+ c b) a) (* d a)) (+ c b))
2.0ms
a
@0
((+ (* (+ d b) a) (* c a)) (+ d b) (* c a) (* a (+ (+ b c) d)) (* d a) (* a (+ (+ b c) d)) (+ (+ b c) d) (+ d c) (* a (+ (+ d c) b)) (+ (+ d c) b) (+ (* (+ c b) a) (* d a)) (+ c b))
1.0ms
b
@0
((+ (* (+ d b) a) (* c a)) (+ d b) (* c a) (* a (+ (+ b c) d)) (* d a) (* a (+ (+ b c) d)) (+ (+ b c) d) (+ d c) (* a (+ (+ d c) b)) (+ (+ d c) b) (+ (* (+ c b) a) (* d a)) (+ c b))
1.0ms
a
@inf
((+ (* (+ d b) a) (* c a)) (+ d b) (* c a) (* a (+ (+ b c) d)) (* d a) (* a (+ (+ b c) d)) (+ (+ b c) d) (+ d c) (* a (+ (+ d c) b)) (+ (+ d c) b) (+ (* (+ c b) a) (* d a)) (+ c b))
1.0ms
c
@-inf
((+ (* (+ d b) a) (* c a)) (+ d b) (* c a) (* a (+ (+ b c) d)) (* d a) (* a (+ (+ b c) d)) (+ (+ b c) d) (+ d c) (* a (+ (+ d c) b)) (+ (+ d c) b) (+ (* (+ c b) a) (* d a)) (+ c b))

simplify191.0ms (4.1%)

Memory
17.9MiB live, 147.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0152393
1539393
21484393
35624393
08107372
Stop Event
iter limit
node limit
Counts
53 → 50
Calls
Call 1
Inputs
(* a (+ b (+ c d)))
(* a c)
(* a d)
(* -1 (* a (+ (* -1 c) (* -1 (+ b d)))))
(* -1 (* a (+ (* -1 d) (* -1 (+ b c)))))
(+ (* a c) (* a d))
(+ (* a b) (+ (* a c) (* a d)))
d
(+ b d)
(* a (+ c d))
(+ (* a b) (* a (+ c d)))
(+ c d)
(+ b (+ c d))
c
(+ b c)
(* a b)
(* b (+ a (+ (/ (* a c) b) (/ (* a d) b))))
b
(* b (+ 1 (/ d b)))
(* b (+ a (/ (* a (+ c d)) b)))
(* b (+ 1 (+ (/ c b) (/ d b))))
(* b (+ 1 (/ c b)))
(* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* a c) (* a d)) b)))))
(* -1 (* b (- (* -1 (/ d b)) 1)))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(* -1 (* b (- (* -1 (/ c b)) 1)))
(* a (+ b d))
(+ (* a c) (* a (+ b d)))
(+ (* a b) (* a d))
(* c (+ a (/ (* a (+ b d)) c)))
(* c (+ 1 (+ (/ b c) (/ d c))))
(* c (+ 1 (/ d c)))
(* c (+ a (+ (/ (* a b) c) (/ (* a d) c))))
(* c (+ 1 (/ b c)))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(* -1 (* c (- (* -1 (/ d c)) 1)))
(* -1 (* c (+ (* -1 a) (* -1 (/ (+ (* a b) (* a d)) c)))))
(* -1 (* c (- (* -1 (/ b c)) 1)))
(+ (* a b) (* a c))
(* a (+ b c))
(+ (* a d) (* a (+ b c)))
(* d (+ a (+ (/ (* a b) d) (/ (* a c) d))))
(* d (+ 1 (/ b d)))
(* d (+ a (/ (* a (+ b c)) d)))
(* d (+ 1 (+ (/ b d) (/ c d))))
(* d (+ 1 (/ c d)))
(* -1 (* d (+ (* -1 a) (* -1 (/ (+ (* a b) (* a c)) d)))))
(* -1 (* d (- (* -1 (/ b d)) 1)))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(* -1 (* d (- (* -1 (/ c d)) 1)))
Outputs
(* a (+ b (+ c d)))
(*.f64 (+.f64 (+.f64 b d) c) a)
(* a c)
(*.f64 c a)
(* a d)
(*.f64 a d)
(* -1 (* a (+ (* -1 c) (* -1 (+ b d)))))
(*.f64 (+.f64 (+.f64 b d) c) a)
(* -1 (* a (+ (* -1 d) (* -1 (+ b c)))))
(*.f64 (+.f64 (+.f64 b d) c) a)
(+ (* a c) (* a d))
(*.f64 (+.f64 c d) a)
(+ (* a b) (+ (* a c) (* a d)))
(*.f64 (+.f64 (+.f64 b d) c) a)
d
(+ b d)
(+.f64 b d)
(* a (+ c d))
(*.f64 (+.f64 c d) a)
(+ (* a b) (* a (+ c d)))
(*.f64 (+.f64 (+.f64 b d) c) a)
(+ c d)
(+.f64 c d)
(+ b (+ c d))
(+.f64 (+.f64 b d) c)
c
(+ b c)
(+.f64 c b)
(* a b)
(*.f64 a b)
(* b (+ a (+ (/ (* a c) b) (/ (* a d) b))))
(*.f64 (fma.f64 (/.f64 a b) (+.f64 c d) a) b)
b
(* b (+ 1 (/ d b)))
(fma.f64 (/.f64 d b) b b)
(* b (+ a (/ (* a (+ c d)) b)))
(*.f64 (fma.f64 (/.f64 a b) (+.f64 c d) a) b)
(* b (+ 1 (+ (/ c b) (/ d b))))
(fma.f64 (/.f64 (+.f64 c d) b) b b)
(* b (+ 1 (/ c b)))
(fma.f64 (/.f64 c b) b b)
(* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* a c) (* a d)) b)))))
(*.f64 (fma.f64 (/.f64 a b) (+.f64 c d) a) b)
(* -1 (* b (- (* -1 (/ d b)) 1)))
(*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 d) b) #s(literal 1 binary64)))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(*.f64 (fma.f64 (/.f64 a b) (+.f64 c d) a) b)
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(*.f64 (neg.f64 b) (-.f64 (/.f64 (-.f64 (neg.f64 d) c) b) #s(literal 1 binary64)))
(* -1 (* b (- (* -1 (/ c b)) 1)))
(*.f64 (neg.f64 b) (-.f64 (/.f64 (neg.f64 c) b) #s(literal 1 binary64)))
(* a (+ b d))
(*.f64 (+.f64 b d) a)
(+ (* a c) (* a (+ b d)))
(*.f64 (+.f64 (+.f64 b d) c) a)
(+ (* a b) (* a d))
(*.f64 (+.f64 b d) a)
(* c (+ a (/ (* a (+ b d)) c)))
(*.f64 (fma.f64 (/.f64 (+.f64 b d) c) a a) c)
(* c (+ 1 (+ (/ b c) (/ d c))))
(fma.f64 (/.f64 (+.f64 b d) c) c c)
(* c (+ 1 (/ d c)))
(fma.f64 (/.f64 d c) c c)
(* c (+ a (+ (/ (* a b) c) (/ (* a d) c))))
(*.f64 (fma.f64 (/.f64 (+.f64 b d) c) a a) c)
(* c (+ 1 (/ b c)))
(fma.f64 (/.f64 b c) c c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(*.f64 (fma.f64 (/.f64 (+.f64 b d) c) a a) c)
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(*.f64 (-.f64 (/.f64 (neg.f64 (+.f64 b d)) c) #s(literal 1 binary64)) (neg.f64 c))
(* -1 (* c (- (* -1 (/ d c)) 1)))
(*.f64 (-.f64 (/.f64 (neg.f64 d) c) #s(literal 1 binary64)) (neg.f64 c))
(* -1 (* c (+ (* -1 a) (* -1 (/ (+ (* a b) (* a d)) c)))))
(*.f64 (fma.f64 (/.f64 (+.f64 b d) c) a a) c)
(* -1 (* c (- (* -1 (/ b c)) 1)))
(*.f64 (-.f64 (/.f64 b (neg.f64 c)) #s(literal 1 binary64)) (neg.f64 c))
(+ (* a b) (* a c))
(*.f64 (+.f64 c b) a)
(* a (+ b c))
(*.f64 (+.f64 c b) a)
(+ (* a d) (* a (+ b c)))
(*.f64 (+.f64 (+.f64 b d) c) a)
(* d (+ a (+ (/ (* a b) d) (/ (* a c) d))))
(*.f64 a (fma.f64 (/.f64 (+.f64 c b) d) d d))
(* d (+ 1 (/ b d)))
(fma.f64 (/.f64 b d) d d)
(* d (+ a (/ (* a (+ b c)) d)))
(*.f64 a (fma.f64 (/.f64 (+.f64 c b) d) d d))
(* d (+ 1 (+ (/ b d) (/ c d))))
(fma.f64 (/.f64 (+.f64 c b) d) d d)
(* d (+ 1 (/ c d)))
(fma.f64 (/.f64 c d) d d)
(* -1 (* d (+ (* -1 a) (* -1 (/ (+ (* a b) (* a c)) d)))))
(*.f64 a (fma.f64 (/.f64 (+.f64 c b) d) d d))
(* -1 (* d (- (* -1 (/ b d)) 1)))
(*.f64 (-.f64 (/.f64 b (neg.f64 d)) #s(literal 1 binary64)) (neg.f64 d))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(*.f64 a (fma.f64 (/.f64 (+.f64 c b) d) d d))
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(*.f64 (-.f64 (/.f64 (-.f64 (neg.f64 c) b) d) #s(literal 1 binary64)) (neg.f64 d))
(* -1 (* d (- (* -1 (/ c d)) 1)))
(*.f64 (-.f64 (/.f64 (neg.f64 c) d) #s(literal 1 binary64)) (neg.f64 d))

rewrite297.0ms (6.4%)

Memory
-20.3MiB live, 280.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01974
03172
115072
2121672
0819972
Stop Event
iter limit
node limit
iter limit
Counts
12 → 614
Calls
Call 1
Inputs
(fma.f64 (+.f64 d b) a (*.f64 c a))
(+.f64 d b)
(*.f64 c a)
#s(approx (* a (+ (+ b c) d)) (*.f64 d a))
(*.f64 d a)
(*.f64 a #s(approx (+ (+ b c) d) (+.f64 d c)))
#s(approx (+ (+ b c) d) (+.f64 d c))
(+.f64 d c)
(*.f64 a (+.f64 (+.f64 d c) b))
(+.f64 (+.f64 d c) b)
(fma.f64 (+.f64 c b) a (*.f64 d a))
(+.f64 c b)
Outputs
(*.f64 (/.f64 (*.f64 (+.f64 (+.f64 c d) b) a) a) (/.f64 (*.f64 a (-.f64 (+.f64 b d) c)) (-.f64 (+.f64 b d) c)))
(*.f64 (/.f64 (*.f64 (+.f64 (+.f64 c d) b) a) a) (/.f64 (*.f64 a (-.f64 (+.f64 c b) d)) (-.f64 (+.f64 c b) d)))
(*.f64 (+.f64 (+.f64 c d) b) a)
(*.f64 a (-.f64 (+.f64 c b) (neg.f64 d)))
(*.f64 a (-.f64 (+.f64 b d) (neg.f64 c)))
(*.f64 a (+.f64 (+.f64 c d) b))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 a (+.f64 b d)) #s(literal 2 binary64)) (*.f64 a (-.f64 (+.f64 b d) c))) (/.f64 (pow.f64 (*.f64 a (+.f64 b d)) #s(literal 2 binary64)) (*.f64 a (-.f64 (+.f64 b d) c)))) (*.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 a (-.f64 (+.f64 b d) c))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 a (-.f64 (+.f64 b d) c))))) (+.f64 (/.f64 (pow.f64 (*.f64 a (+.f64 b d)) #s(literal 2 binary64)) (*.f64 a (-.f64 (+.f64 b d) c))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 a (-.f64 (+.f64 b d) c)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (+.f64 c b) a) #s(literal 2 binary64)) (*.f64 a (-.f64 (+.f64 c b) d))) (/.f64 (pow.f64 (*.f64 (+.f64 c b) a) #s(literal 2 binary64)) (*.f64 a (-.f64 (+.f64 c b) d)))) (*.f64 (/.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (*.f64 a (-.f64 (+.f64 c b) d))) (/.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (*.f64 a (-.f64 (+.f64 c b) d))))) (+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 c b) a) #s(literal 2 binary64)) (*.f64 a (-.f64 (+.f64 c b) d))) (/.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (*.f64 a (-.f64 (+.f64 c b) d)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 c d) a) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 b) a) (*.f64 (neg.f64 b) a))) (fma.f64 (+.f64 c d) a (*.f64 (neg.f64 b) a)))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 c d) a) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 a) b) (*.f64 (neg.f64 a) b))) (fma.f64 (+.f64 c d) a (*.f64 (neg.f64 a) b)))
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(-.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (-.f64 (*.f64 c a) (*.f64 a (+.f64 b d)))) (/.f64 (pow.f64 (*.f64 a (+.f64 b d)) #s(literal 2 binary64)) (-.f64 (*.f64 c a) (*.f64 a (+.f64 b d)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 c b) a) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 c b) a) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 c b) a) (*.f64 (neg.f64 d) a))))) (/.f64 (pow.f64 (*.f64 (neg.f64 d) a) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 c b) a) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 c b) a) (*.f64 (neg.f64 d) a))))))
(-.f64 (/.f64 (pow.f64 (*.f64 a (+.f64 b d)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 a (+.f64 b d)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (*.f64 a (+.f64 b d)) (*.f64 (neg.f64 c) a))))) (/.f64 (pow.f64 (*.f64 (neg.f64 c) a) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 a (+.f64 b d)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 (*.f64 a (+.f64 b d)) (*.f64 (neg.f64 c) a))))))
(-.f64 (/.f64 (pow.f64 (*.f64 a (+.f64 b d)) #s(literal 2 binary64)) (*.f64 a (-.f64 (+.f64 b d) c))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (*.f64 a (-.f64 (+.f64 b d) c))))
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 c b) a) #s(literal 2 binary64)) (*.f64 a (-.f64 (+.f64 c b) d))) (/.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (*.f64 a (-.f64 (+.f64 c b) d))))
(-.f64 (*.f64 (+.f64 c d) a) (*.f64 (neg.f64 b) a))
(-.f64 (*.f64 (+.f64 c d) a) (*.f64 (neg.f64 a) b))
(-.f64 (*.f64 a (+.f64 b d)) (*.f64 (neg.f64 a) c))
(-.f64 (*.f64 a (+.f64 b d)) (*.f64 (neg.f64 c) a))
(-.f64 (*.f64 (+.f64 c b) a) (*.f64 (neg.f64 a) d))
(-.f64 (*.f64 (+.f64 c b) a) (*.f64 (neg.f64 d) a))
(-.f64 (*.f64 a d) (*.f64 (neg.f64 (+.f64 c b)) a))
(-.f64 (*.f64 a d) (*.f64 (neg.f64 a) (+.f64 c b)))
(-.f64 (*.f64 c a) (*.f64 (neg.f64 a) (+.f64 b d)))
(-.f64 (*.f64 c a) (*.f64 (neg.f64 (+.f64 b d)) a))
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 c d) a) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 c d) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 c d) a) (*.f64 a b))))) (/.f64 (pow.f64 (*.f64 a b) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 c d) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 a b) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 c d) a) (*.f64 a b))))))
(+.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 a (+.f64 b d)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a (+.f64 b d)) c) a)))) (/.f64 (pow.f64 (*.f64 a (+.f64 b d)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 a (+.f64 b d)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a (+.f64 b d)) c) a)))))
(+.f64 (/.f64 (pow.f64 (*.f64 a (+.f64 b d)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 a (+.f64 b d)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a (+.f64 b d)) c) a)))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 a (+.f64 b d)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 a (+.f64 b d)) c) a)))))
(+.f64 (/.f64 (pow.f64 (*.f64 a d) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 c b) a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 c b) a) a) d)))) (/.f64 (pow.f64 (*.f64 (+.f64 c b) a) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 c b) a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 c b) a) a) d)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 c b) a) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 c b) a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 c b) a) a) d)))) (/.f64 (pow.f64 (*.f64 a d) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 a d) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 c b) a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 c b) a) a) d)))))
(+.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 c a) (-.f64 (*.f64 c a) (*.f64 a (+.f64 b d))) (pow.f64 (*.f64 a (+.f64 b d)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 a (+.f64 b d)) #s(literal 3 binary64)) (fma.f64 (*.f64 c a) (-.f64 (*.f64 c a) (*.f64 a (+.f64 b d))) (pow.f64 (*.f64 a (+.f64 b d)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 a (+.f64 b d)) #s(literal 3 binary64)) (fma.f64 (*.f64 c a) (-.f64 (*.f64 c a) (*.f64 a (+.f64 b d))) (pow.f64 (*.f64 a (+.f64 b d)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 c a) (-.f64 (*.f64 c a) (*.f64 a (+.f64 b d))) (pow.f64 (*.f64 a (+.f64 b d)) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 a d) #s(literal 3 binary64)) (fma.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 (+.f64 c b) a)) (pow.f64 (*.f64 (+.f64 c b) a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (+.f64 c b) a) #s(literal 3 binary64)) (fma.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 (+.f64 c b) a)) (pow.f64 (*.f64 (+.f64 c b) a) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 c b) a) #s(literal 3 binary64)) (fma.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 (+.f64 c b) a)) (pow.f64 (*.f64 (+.f64 c b) a) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 a d) #s(literal 3 binary64)) (fma.f64 (*.f64 a d) (-.f64 (*.f64 a d) (*.f64 (+.f64 c b) a)) (pow.f64 (*.f64 (+.f64 c b) a) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 a (+.f64 b d)) #s(literal 2 binary64)) (*.f64 a (-.f64 (+.f64 b d) c))) (/.f64 (*.f64 (*.f64 (neg.f64 c) a) (*.f64 c a)) (*.f64 a (-.f64 (+.f64 b d) c))))
(+.f64 (/.f64 (pow.f64 (*.f64 (+.f64 c b) a) #s(literal 2 binary64)) (*.f64 a (-.f64 (+.f64 c b) d))) (/.f64 (*.f64 (*.f64 (neg.f64 d) a) (*.f64 a d)) (*.f64 a (-.f64 (+.f64 c b) d))))
(+.f64 (*.f64 a b) (*.f64 (+.f64 c d) a))
(+.f64 (*.f64 (+.f64 c d) a) (*.f64 a b))
(+.f64 (*.f64 a (+.f64 b d)) (*.f64 (neg.f64 (neg.f64 c)) a))
(+.f64 (*.f64 a (+.f64 b d)) (*.f64 c a))
(+.f64 (*.f64 (+.f64 c b) a) (*.f64 (neg.f64 (neg.f64 d)) a))
(+.f64 (*.f64 (+.f64 c b) a) (*.f64 a d))
(+.f64 (*.f64 a d) (*.f64 (+.f64 c b) a))
(+.f64 (*.f64 c a) (*.f64 a (+.f64 b d)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 c c) (-.f64 c b)) (/.f64 (*.f64 c c) (-.f64 c b))) (*.f64 (/.f64 (*.f64 b b) (-.f64 c b)) (/.f64 (*.f64 b b) (-.f64 c b)))) (+.f64 (/.f64 (*.f64 c c) (-.f64 c b)) (/.f64 (*.f64 b b) (-.f64 c b))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) (-.f64 b c)) (/.f64 (*.f64 b b) (-.f64 b c))) (*.f64 (/.f64 (*.f64 c c) (-.f64 b c)) (/.f64 (*.f64 c c) (-.f64 b c)))) (+.f64 (/.f64 (*.f64 b b) (-.f64 b c)) (/.f64 (*.f64 c c) (-.f64 b c))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 b (-.f64 b c) (*.f64 c c))) (/.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 b (-.f64 b c) (*.f64 c c)))) (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (-.f64 b c) (*.f64 c c))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (-.f64 b c) (*.f64 c c))))) (-.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 b (-.f64 b c) (*.f64 c c))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (-.f64 b c) (*.f64 c c)))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 c (-.f64 c b) (*.f64 b b))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 c (-.f64 c b) (*.f64 b b)))) (*.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 c (-.f64 c b) (*.f64 b b))) (/.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 c (-.f64 c b) (*.f64 b b))))) (-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 c (-.f64 c b) (*.f64 b b))) (/.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 c (-.f64 c b) (*.f64 b b)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 c c) (-.f64 c b)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 b b) (-.f64 c b)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 c c) (-.f64 c b)) (/.f64 (*.f64 c c) (-.f64 c b)) (fma.f64 (/.f64 (*.f64 b b) (-.f64 c b)) (/.f64 (*.f64 b b) (-.f64 c b)) (*.f64 (/.f64 (*.f64 c c) (-.f64 c b)) (/.f64 (*.f64 b b) (-.f64 c b))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b b) (-.f64 b c)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 c c) (-.f64 b c)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 b b) (-.f64 b c)) (/.f64 (*.f64 b b) (-.f64 b c)) (fma.f64 (/.f64 (*.f64 c c) (-.f64 b c)) (/.f64 (*.f64 c c) (-.f64 b c)) (*.f64 (/.f64 (*.f64 b b) (-.f64 b c)) (/.f64 (*.f64 c c) (-.f64 b c))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 b (-.f64 b c) (*.f64 c c))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (-.f64 b c) (*.f64 c c))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 b (-.f64 b c) (*.f64 c c))) (/.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 b (-.f64 b c) (*.f64 c c))) (-.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (-.f64 b c) (*.f64 c c))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (-.f64 b c) (*.f64 c c)))) (*.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 b (-.f64 b c) (*.f64 c c))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (-.f64 b c) (*.f64 c c)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 c (-.f64 c b) (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 c (-.f64 c b) (*.f64 b b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 c (-.f64 c b) (*.f64 b b))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 c (-.f64 c b) (*.f64 b b))) (-.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 c (-.f64 c b) (*.f64 b b))) (/.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 c (-.f64 c b) (*.f64 b b)))) (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 c (-.f64 c b) (*.f64 b b))) (/.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 c (-.f64 c b) (*.f64 b b)))))))
(/.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 (+.f64 c b) (-.f64 b c)))) (neg.f64 (neg.f64 (-.f64 b c))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 b (-.f64 b c) (*.f64 c c)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 c (-.f64 c b) (*.f64 b b)))))
(/.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 (-.f64 (*.f64 (*.f64 b b) (-.f64 b c)) (*.f64 (-.f64 b c) (*.f64 c c))) (pow.f64 (-.f64 b c) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 b (-.f64 b c) (*.f64 c c)) (*.f64 (fma.f64 b (-.f64 b c) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) (pow.f64 (fma.f64 b (-.f64 b c) (*.f64 c c)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 c (-.f64 c b) (*.f64 b b)) (*.f64 (fma.f64 c (-.f64 c b) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64)))) (pow.f64 (fma.f64 c (-.f64 c b) (*.f64 b b)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 c b) (-.f64 c b))) (neg.f64 (-.f64 c b)))
(/.f64 (neg.f64 (*.f64 (+.f64 c b) (-.f64 b c))) (neg.f64 (-.f64 b c)))
(/.f64 (neg.f64 (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 b (-.f64 b c) (*.f64 c c))))
(/.f64 (neg.f64 (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 c (-.f64 c b) (*.f64 b b))))
(/.f64 (*.f64 (+.f64 c b) (-.f64 c b)) (-.f64 c b))
(/.f64 (*.f64 (+.f64 c b) (-.f64 b c)) (-.f64 b c))
(/.f64 (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b (-.f64 b c) (*.f64 c c)))
(/.f64 (+.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 c (-.f64 c b) (*.f64 b b)))
(-.f64 (/.f64 (*.f64 c c) (-.f64 c b)) (/.f64 (*.f64 b b) (-.f64 c b)))
(-.f64 (/.f64 (*.f64 b b) (-.f64 b c)) (/.f64 (*.f64 c c) (-.f64 b c)))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (-.f64 b c) (*.f64 c c))) (/.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 b (-.f64 b c) (*.f64 c c))))
(+.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 b (-.f64 b c) (*.f64 c c))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (-.f64 b c) (*.f64 c c))))
(+.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 c (-.f64 c b) (*.f64 b b))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 c (-.f64 c b) (*.f64 b b))))
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 c (-.f64 c b) (*.f64 b b))) (/.f64 (pow.f64 c #s(literal 3 binary64)) (fma.f64 c (-.f64 c b) (*.f64 b b))))
(+.f64 (/.f64 (*.f64 c c) (-.f64 c b)) (/.f64 (*.f64 (neg.f64 b) b) (-.f64 c b)))
(+.f64 (/.f64 (*.f64 b b) (-.f64 b c)) (/.f64 (*.f64 (neg.f64 c) c) (-.f64 b c)))
(+.f64 c b)
(+.f64 b c)

eval77.0ms (1.7%)

Memory
10.6MiB live, 100.3MiB allocated
Compiler

Compiled 12 021 to 1 345 computations (88.8% saved)

prune11.0ms (0.2%)

Memory
-32.0MiB live, 26.1MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New3770377
Fresh000
Picked055
Done000
Total3775382
Accuracy
100.0%
Counts
382 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (+.f64 d b) a (*.f64 c a))
100.0%
(fma.f64 (+.f64 c b) a (*.f64 d a))
99.9%
(*.f64 a (+.f64 (+.f64 d c) b))
99.8%
(*.f64 a #s(approx (+ (+ b c) d) (+.f64 d c)))
94.4%
#s(approx (* a (+ (+ b c) d)) (*.f64 d a))
Compiler

Compiled 97 to 61 computations (37.1% saved)

regimes20.0ms (0.4%)

Memory
-3.0MiB live, 42.9MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (* a (+ (+ b c) d)) (*.f64 d a))
(*.f64 a #s(approx (+ (+ b c) d) (+.f64 d c)))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 (+.f64 d c) b))
(fma.f64 (+.f64 c b) a (*.f64 d a))
(fma.f64 (+.f64 d b) a (*.f64 c a))
Outputs
(fma.f64 (+.f64 d b) a (*.f64 c a))
Calls

7 calls:

5.0ms
c
3.0ms
(+.f64 b c)
3.0ms
(*.f64 a (+.f64 (+.f64 b c) d))
3.0ms
b
2.0ms
a
Results
AccuracySegmentsBranch
100.0%1a
100.0%1b
100.0%1c
100.0%1d
100.0%1(*.f64 a (+.f64 (+.f64 b c) d))
100.0%1(+.f64 (+.f64 b c) d)
100.0%1(+.f64 b c)
Compiler

Compiled 19 to 34 computations (-78.9% saved)

regimes18.0ms (0.4%)

Memory
-0.8MiB live, 44.9MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (* a (+ (+ b c) d)) (*.f64 d a))
(*.f64 a #s(approx (+ (+ b c) d) (+.f64 d c)))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 (+.f64 d c) b))
(fma.f64 (+.f64 c b) a (*.f64 d a))
Outputs
(fma.f64 (+.f64 c b) a (*.f64 d a))
Calls

7 calls:

4.0ms
b
2.0ms
a
2.0ms
(*.f64 a (+.f64 (+.f64 b c) d))
2.0ms
(+.f64 (+.f64 b c) d)
2.0ms
(+.f64 b c)
Results
AccuracySegmentsBranch
100.0%1a
100.0%1b
100.0%1c
100.0%1d
100.0%1(*.f64 a (+.f64 (+.f64 b c) d))
100.0%1(+.f64 (+.f64 b c) d)
100.0%1(+.f64 b c)
Compiler

Compiled 19 to 34 computations (-78.9% saved)

regimes16.0ms (0.3%)

Memory
3.9MiB live, 49.1MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (* a (+ (+ b c) d)) (*.f64 d a))
(*.f64 a #s(approx (+ (+ b c) d) (+.f64 d c)))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a (+.f64 (+.f64 d c) b))
Outputs
(*.f64 a (+.f64 (+.f64 d c) b))
Calls

7 calls:

3.0ms
c
2.0ms
d
2.0ms
b
2.0ms
(*.f64 a (+.f64 (+.f64 b c) d))
2.0ms
(+.f64 b c)
Results
AccuracySegmentsBranch
99.9%1a
99.9%1b
99.9%1c
99.9%1d
99.9%1(*.f64 a (+.f64 (+.f64 b c) d))
99.9%1(+.f64 (+.f64 b c) d)
99.9%1(+.f64 b c)
Compiler

Compiled 19 to 34 computations (-78.9% saved)

regimes38.0ms (0.8%)

Memory
-17.9MiB live, 33.9MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* a (+ (+ b c) d)) (*.f64 d a))
(*.f64 a #s(approx (+ (+ b c) d) (+.f64 d c)))
(*.f64 a (+.f64 (+.f64 b c) d))
Outputs
(*.f64 a (+.f64 (+.f64 b c) d))
Calls

7 calls:

2.0ms
(*.f64 a (+.f64 (+.f64 b c) d))
2.0ms
(+.f64 b c)
2.0ms
b
2.0ms
c
2.0ms
d
Results
AccuracySegmentsBranch
99.9%1a
99.9%1b
99.9%1c
99.9%1d
99.9%1(*.f64 a (+.f64 (+.f64 b c) d))
99.9%1(+.f64 (+.f64 b c) d)
99.9%1(+.f64 b c)
Compiler

Compiled 19 to 34 computations (-78.9% saved)

regimes10.0ms (0.2%)

Memory
25.8MiB live, 25.7MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* a (+ (+ b c) d)) (*.f64 d a))
(*.f64 a #s(approx (+ (+ b c) d) (+.f64 d c)))
Outputs
(*.f64 a #s(approx (+ (+ b c) d) (+.f64 d c)))
Calls

7 calls:

1.0ms
(+.f64 b c)
1.0ms
(+.f64 (+.f64 b c) d)
1.0ms
(*.f64 a (+.f64 (+.f64 b c) d))
1.0ms
a
1.0ms
b
Results
AccuracySegmentsBranch
99.8%1a
99.8%1b
99.8%1c
99.8%1d
99.8%1(*.f64 a (+.f64 (+.f64 b c) d))
99.8%1(+.f64 (+.f64 b c) d)
99.8%1(+.f64 b c)
Compiler

Compiled 19 to 34 computations (-78.9% saved)

regimes23.0ms (0.5%)

Memory
-23.2MiB live, 23.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

7 calls:

16.0ms
a
1.0ms
b
1.0ms
(*.f64 a (+.f64 (+.f64 b c) d))
1.0ms
(+.f64 (+.f64 b c) d)
1.0ms
(+.f64 b c)
Results
AccuracySegmentsBranch
94.4%1a
94.4%1b
94.4%1c
94.4%1d
94.4%1(*.f64 a (+.f64 (+.f64 b c) d))
94.4%1(+.f64 (+.f64 b c) d)
94.4%1(+.f64 b c)
Compiler

Compiled 19 to 34 computations (-78.9% saved)

simplify30.0ms (0.6%)

Memory
45.7MiB live, 45.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02252
13352
26152
313952
424752
542252
657252
789752
8128652
9153152
10164652
11170652
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (+.f64 d b) a (*.f64 c a))
(fma.f64 (+.f64 c b) a (*.f64 d a))
(*.f64 a (+.f64 (+.f64 d c) b))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a #s(approx (+ (+ b c) d) (+.f64 d c)))
#s(approx (* a (+ (+ b c) d)) (*.f64 d a))
Outputs
(fma.f64 (+.f64 d b) a (*.f64 c a))
(fma.f64 (+.f64 c b) a (*.f64 d a))
(*.f64 a (+.f64 (+.f64 d c) b))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a #s(approx (+ (+ b c) d) (+.f64 d c)))
#s(approx (* a (+ (+ b c) d)) (*.f64 d a))

soundness413.0ms (8.9%)

Memory
-10.4MiB live, 179.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
01015
14615
238515
3555215
0849315
084183
1289183
2945183
33637183
08223183
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 104 to 63 computations (39.4% saved)

preprocess114.0ms (2.5%)

Memory
-16.2MiB live, 71.1MiB allocated
Remove

(sort b c d)

(negabs a)

Compiler

Compiled 200 to 130 computations (35% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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