Expression 1, p15

Time bar (total: 6.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
100%0%0%100%0%0%0%1
Compiler

Compiled 49 to 35 computations (28.6% saved)

sample1.9s (30.5%)

Memory
22.6MiB live, 1 915.4MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 794.0ms
ival-<=: 547.0ms (68.9% of total)
ival-add: 169.0ms (21.3% of total)
ival-and: 51.0ms (6.4% of total)
exact: 23.0ms (2.9% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain94.0ms (1.5%)

Memory
12.4MiB live, 89.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-a
00-0-(+.f64 (+.f64 e d) c)
00-0-(+.f64 (+.f64 (+.f64 e d) c) b)
00-0-d
00-0-(+.f64 e d)
00-0-e
00-0-c
00-0-b
00-0-(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
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
26.0ms512×0valid
Compiler

Compiled 71 to 31 computations (56.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-add: 8.0ms (89.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess82.0ms (1.3%)

Memory
12.1MiB live, 49.6MiB allocated
Algorithm
egg-herbie
Rules
1 996×unsub-neg
1 442×sub-neg
1 360×distribute-neg-in
1 220×distribute-rgt-in
1 150×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068187
1219184
2777180
33000180
45879180
56826180
67181180
77304180
87348180
97732180
099
0139
1239
2629
31839
43399
53399
03399
Stop Event
iter limit
saturated
iter limit
node limit
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
Outputs
#<batchref>
#<batchref>
Symmetry

(sort a b c d e)

Compiler

Compiled 9 to 9 computations (0% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 5 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
Compiler

Compiled 9 to 9 computations (0% saved)

simplify6.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 e d)
cost-diff0
(+.f64 (+.f64 e d) c)
cost-diff0
(+.f64 (+.f64 (+.f64 e d) c) b)
cost-diff0
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
Rules
360×lower-+.f32
352×lower-+.f64
270×associate-+r+
166×associate-+l+
106×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
01329
12329
26229
318329
433929
533929
033929
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
(+.f64 (+.f64 (+.f64 e d) c) b)
(+.f64 (+.f64 e d) c)
(+.f64 e d)
e
d
c
b
a
Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

localize29.0ms (0.5%)

Memory
-14.2MiB live, 28.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 e d)
accuracy0.23046875
(+.f64 (+.f64 e d) c)
accuracy0.25
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
accuracy0.265625
(+.f64 (+.f64 (+.f64 e d) c) b)
Samples
19.0ms256×0valid
Compiler

Compiled 31 to 11 computations (64.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-add: 4.0ms (90.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
11.8MiB live, 11.8MiB allocated
Counts
4 → 168
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 e d) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf c) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf b) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 a) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf a) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf a) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (+.f64 e d) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (+.f64 e d) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (+.f64 e d) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 e) (#s(alt #<batchref> (patch (+.f64 e d) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 e d) c) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf e) (#s(alt #<batchref> (patch (+.f64 e d) #<representation binary64>) () ())) ())
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Calls

15 calls:

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

simplify145.0ms (2.3%)

Memory
-4.7MiB live, 152.7MiB allocated
Algorithm
egg-herbie
Rules
9 934×lower-fma.f64
9 934×lower-fma.f32
3 604×lower-*.f64
3 604×lower-*.f32
3 532×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01511456
14631456
215331384
360261348
082751276
Stop Event
iter limit
node limit
Counts
168 → 138
Calls
Call 1
Inputs
(+ a (+ b (+ d e)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ b (+ d e))
(+ b (+ c (+ d e)))
(+ b (+ c (+ d e)))
(+ b (+ c (+ d e)))
(+ d e)
(+ c (+ d e))
(+ c (+ d e))
(+ c (+ d e))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
c
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
c
(* c (+ 1 (+ (/ d c) (/ e c))))
(* c (+ 1 (+ (/ d c) (/ e c))))
(* c (+ 1 (+ (/ d c) (/ e c))))
c
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
c
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
c
(* -1 (* c (- (* -1 (/ (+ d e) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ d e) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ d e) c)) 1)))
(+ a (+ c (+ d e)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ c (+ d e))
(+ b (+ c (+ d e)))
(+ b (+ c (+ d e)))
(+ b (+ c (+ d e)))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
b
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b)))))
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b)))))
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b)))))
b
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
b
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1)))
(+ b (+ c (+ d e)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
a
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ b (+ c d))
(+ b (+ c (+ d e)))
(+ b (+ c (+ d e)))
(+ b (+ c (+ d e)))
(+ c d)
(+ c (+ d e))
(+ c (+ d e))
(+ c (+ d e))
d
(+ d e)
(+ d e)
(+ d e)
e
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
e
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e)))))
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e)))))
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e)))))
e
(* e (+ 1 (+ (/ c e) (/ d e))))
(* e (+ 1 (+ (/ c e) (/ d e))))
(* e (+ 1 (+ (/ c e) (/ d e))))
e
(* e (+ 1 (/ d e)))
(* e (+ 1 (/ d e)))
(* e (+ 1 (/ d e)))
e
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
e
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1)))
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1)))
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1)))
e
(* -1 (* e (- (* -1 (/ (+ c d) e)) 1)))
(* -1 (* e (- (* -1 (/ (+ c d) e)) 1)))
(* -1 (* e (- (* -1 (/ (+ c d) e)) 1)))
e
(* -1 (* e (- (* -1 (/ d e)) 1)))
(* -1 (* e (- (* -1 (/ d e)) 1)))
(* -1 (* e (- (* -1 (/ d e)) 1)))
(+ a (+ b (+ c e)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ b (+ c e))
(+ b (+ c (+ d e)))
(+ b (+ c (+ d e)))
(+ b (+ c (+ d e)))
(+ c e)
(+ c (+ d e))
(+ c (+ d e))
(+ c (+ d e))
e
(+ d e)
(+ d e)
(+ d e)
d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
d
(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d)))))
(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d)))))
(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d)))))
d
(* d (+ 1 (+ (/ c d) (/ e d))))
(* d (+ 1 (+ (/ c d) (/ e d))))
(* d (+ 1 (+ (/ c d) (/ e d))))
d
(* d (+ 1 (/ e d)))
(* d (+ 1 (/ e d)))
(* d (+ 1 (/ e d)))
d
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
d
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1)))
d
(* -1 (* d (- (* -1 (/ (+ c e) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ c e) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ c e) d)) 1)))
d
(* -1 (* d (- (* -1 (/ e d)) 1)))
(* -1 (* d (- (* -1 (/ e d)) 1)))
(* -1 (* d (- (* -1 (/ e d)) 1)))
Outputs
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rewrite266.0ms (4.3%)

Memory
16.6MiB live, 126.0MiB allocated
Rules
4 812×lower-/.f64
4 812×lower-/.f32
4 764×lower-*.f64
4 764×lower-*.f32
2 988×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01511600
01511516
111841516
081721516
Stop Event
iter limit
node limit
saturated
Counts
4 → 48
Calls
Call 1
Inputs
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
(+.f64 (+.f64 (+.f64 e d) c) b)
(+.f64 (+.f64 e d) c)
(+.f64 e d)
Outputs
#<batchref>
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#<batchref>

eval85.0ms (1.4%)

Memory
-4.3MiB live, 41.9MiB allocated
Compiler

Compiled 2 291 to 204 computations (91.1% saved)

prune19.0ms (0.3%)

Memory
0.7MiB live, 36.6MiB allocated
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New17610186
Fresh000
Picked011
Done000
Total17611187
Accuracy
100.0%
Counts
187 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
99.4%
(+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)) a)
99.5%
(+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e)) a)
99.4%
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) b b))
99.3%
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) b) a) c) c c))
99.5%
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c e) b) a) d) d d))
99.6%
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) e e))
99.7%
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e))
25.7%
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) c) b))
23.2%
#s(approx (+ (+ e d) c) (+.f64 (+.f64 d e) c))
21.1%
#s(approx (+ e d) (+.f64 d e))
Compiler

Compiled 235 to 217 computations (7.7% saved)

simplify261.0ms (4.2%)

Memory
-5.9MiB live, 117.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (+.f64 (+.f64 d e) c) a)
cost-diff0
(/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b)
cost-diff0
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) b b))
cost-diff896
(fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) b b)
cost-diff0
(+.f64 (+.f64 (+.f64 c e) b) a)
cost-diff0
(/.f64 (+.f64 (+.f64 (+.f64 c e) b) a) d)
cost-diff0
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c e) b) a) d) d d))
cost-diff896
(fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c e) b) a) d) d d)
cost-diff0
(+.f64 d e)
cost-diff0
(+.f64 (+.f64 d e) c)
cost-diff0
(+.f64 (+.f64 (+.f64 d e) c) b)
cost-diff0
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) c) b))
cost-diff0
(+.f64 d e)
cost-diff0
#s(approx (+ e d) (+.f64 d e))
cost-diff0
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e))
cost-diff512
(+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d))
cost-diff704
(+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d))
cost-diff1088
(fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e)
Rules
9 994×lower-fma.f32
9 988×lower-fma.f64
4 822×lower-*.f64
4 822×lower-*.f32
2 256×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033258
054274
1103274
2223274
3618274
41228232
51780232
62652232
74411230
84753230
95128230
105221230
115358230
125495230
137496230
08133228
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e))
(fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e)
(+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d))
(+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d))
(+.f64 (/.f64 a d) #s(literal 1 binary64))
(/.f64 a d)
a
d
#s(literal 1 binary64)
(/.f64 b d)
b
(/.f64 c d)
c
e
#s(approx (+ e d) (+.f64 d e))
(+.f64 d e)
d
e
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) c) b))
(+.f64 (+.f64 (+.f64 d e) c) b)
(+.f64 (+.f64 d e) c)
(+.f64 d e)
d
e
c
b
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c e) b) a) d) d d))
(fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c e) b) a) d) d d)
(/.f64 (+.f64 (+.f64 (+.f64 c e) b) a) d)
(+.f64 (+.f64 (+.f64 c e) b) a)
(+.f64 (+.f64 c e) b)
(+.f64 c e)
c
e
b
a
d
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) b b))
(fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) b b)
(/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b)
(+.f64 (+.f64 (+.f64 d e) c) a)
(+.f64 (+.f64 d e) c)
(+.f64 d e)
d
e
c
a
b
Outputs
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localize130.0ms (2.1%)

Memory
12.0MiB live, 87.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.1875
(fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) b b)
accuracy0.22265625
(+.f64 (+.f64 d e) c)
accuracy0.2421875
(/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b)
accuracy0.2578125
(+.f64 (+.f64 (+.f64 d e) c) a)
accuracy0.16015625
(fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c e) b) a) d) d d)
accuracy0.1953125
(+.f64 (+.f64 (+.f64 c e) b) a)
accuracy0.23828125
(+.f64 (+.f64 c e) b)
accuracy0.27734375
(/.f64 (+.f64 (+.f64 (+.f64 c e) b) a) d)
accuracy0
(+.f64 d e)
accuracy0.22265625
(+.f64 (+.f64 d e) c)
accuracy0.265625
(+.f64 (+.f64 (+.f64 d e) c) b)
accuracy46.639492285037605
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) c) b))
accuracy0
(+.f64 d e)
accuracy0
#s(approx (+ e d) (+.f64 d e))
accuracy0.05859375
(+.f64 (/.f64 a d) #s(literal 1 binary64))
accuracy0.10546875
(fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e)
accuracy0.203125
(+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d))
accuracy0.2265625
(+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d))
Samples
59.0ms5exit
51.0ms251×0valid
Compiler

Compiled 208 to 33 computations (84.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 89.0ms
ival-div: 64.0ms (71.5% of total)
ival-add: 18.0ms (20.1% of total)
ival-mult: 5.0ms (5.6% of total)
adjust: 2.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series61.0ms (1%)

Memory
1.9MiB live, 76.8MiB allocated
Counts
19 → 912
Calls
Call 1
Inputs
#s(alt #<batchref> (patch (fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ e d) (+.f64 d e)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 d e) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) c) b)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 d e) c) b) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (+.f64 d e) c) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c e) b) a) d) d d) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c e) b) a) d) d d)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (+.f64 (+.f64 (+.f64 c e) b) a) d) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 c e) b) a) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) b b) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) b b)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 d e) c) a) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (/.f64 a d) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (+.f64 c e) b) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) c) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) c) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) c) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) c) b)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 d e) c) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 d e) c) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 d e) c) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 d e) c) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 d e) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 d e) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 d e) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 d e) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c e) b) a) d) d d) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c e) b) a) d) d d) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c e) b) a) d) d d) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c e) b) a) d) d d) #<representation binary64>) () ())) ())
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Calls

15 calls:

TimeVariablePointExpression
9.0ms
d
@-inf
((+ (* (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) d) e) (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+ (+ (/ a d) 1) (/ b d)) (+ (+ (+ (+ e d) c) b) a) (+ e d) (+ d e) (+ (+ (+ (+ e d) c) b) a) (+ (+ (+ d e) c) b) (+ (+ d e) c) (+ (* (/ (+ (+ (+ c e) b) a) d) d) d) (+ (+ (+ (+ e d) c) b) a) (/ (+ (+ (+ c e) b) a) d) (+ (+ (+ c e) b) a) (+ (* (/ (+ (+ (+ d e) c) a) b) b) b) (+ (+ (+ (+ e d) c) b) a) (/ (+ (+ (+ d e) c) a) b) (+ (+ (+ d e) c) a) (+ (/ a d) 1) (+ (+ c e) b))
6.0ms
c
@-inf
((+ (* (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) d) e) (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+ (+ (/ a d) 1) (/ b d)) (+ (+ (+ (+ e d) c) b) a) (+ e d) (+ d e) (+ (+ (+ (+ e d) c) b) a) (+ (+ (+ d e) c) b) (+ (+ d e) c) (+ (* (/ (+ (+ (+ c e) b) a) d) d) d) (+ (+ (+ (+ e d) c) b) a) (/ (+ (+ (+ c e) b) a) d) (+ (+ (+ c e) b) a) (+ (* (/ (+ (+ (+ d e) c) a) b) b) b) (+ (+ (+ (+ e d) c) b) a) (/ (+ (+ (+ d e) c) a) b) (+ (+ (+ d e) c) a) (+ (/ a d) 1) (+ (+ c e) b))
4.0ms
d
@0
((+ (* (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) d) e) (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+ (+ (/ a d) 1) (/ b d)) (+ (+ (+ (+ e d) c) b) a) (+ e d) (+ d e) (+ (+ (+ (+ e d) c) b) a) (+ (+ (+ d e) c) b) (+ (+ d e) c) (+ (* (/ (+ (+ (+ c e) b) a) d) d) d) (+ (+ (+ (+ e d) c) b) a) (/ (+ (+ (+ c e) b) a) d) (+ (+ (+ c e) b) a) (+ (* (/ (+ (+ (+ d e) c) a) b) b) b) (+ (+ (+ (+ e d) c) b) a) (/ (+ (+ (+ d e) c) a) b) (+ (+ (+ d e) c) a) (+ (/ a d) 1) (+ (+ c e) b))
3.0ms
b
@inf
((+ (* (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) d) e) (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+ (+ (/ a d) 1) (/ b d)) (+ (+ (+ (+ e d) c) b) a) (+ e d) (+ d e) (+ (+ (+ (+ e d) c) b) a) (+ (+ (+ d e) c) b) (+ (+ d e) c) (+ (* (/ (+ (+ (+ c e) b) a) d) d) d) (+ (+ (+ (+ e d) c) b) a) (/ (+ (+ (+ c e) b) a) d) (+ (+ (+ c e) b) a) (+ (* (/ (+ (+ (+ d e) c) a) b) b) b) (+ (+ (+ (+ e d) c) b) a) (/ (+ (+ (+ d e) c) a) b) (+ (+ (+ d e) c) a) (+ (/ a d) 1) (+ (+ c e) b))
2.0ms
c
@inf
((+ (* (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) d) e) (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+ (+ (/ a d) 1) (/ b d)) (+ (+ (+ (+ e d) c) b) a) (+ e d) (+ d e) (+ (+ (+ (+ e d) c) b) a) (+ (+ (+ d e) c) b) (+ (+ d e) c) (+ (* (/ (+ (+ (+ c e) b) a) d) d) d) (+ (+ (+ (+ e d) c) b) a) (/ (+ (+ (+ c e) b) a) d) (+ (+ (+ c e) b) a) (+ (* (/ (+ (+ (+ d e) c) a) b) b) b) (+ (+ (+ (+ e d) c) b) a) (/ (+ (+ (+ d e) c) a) b) (+ (+ (+ d e) c) a) (+ (/ a d) 1) (+ (+ c e) b))

simplify190.0ms (3%)

Memory
-5.5MiB live, 184.7MiB allocated
Algorithm
egg-herbie
Rules
9 744×lower-fma.f64
9 744×lower-fma.f32
5 050×lower-*.f64
5 050×lower-*.f32
4 506×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048410035
114699927
245519624
083019202
Stop Event
iter limit
node limit
Counts
912 → 794
Calls
Call 1
Inputs
(+ e (* d (+ 1 (+ (/ a d) (/ b d)))))
(+ c (+ e (* d (+ 1 (+ (/ a d) (/ b d))))))
(+ c (+ e (* d (+ 1 (+ (/ a d) (/ b d))))))
(+ c (+ e (* d (+ 1 (+ (/ a d) (/ b d))))))
(+ 1 (+ (/ a d) (/ b d)))
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))
(+ a (+ b (+ d e)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ d e)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ b (+ d e))
(+ b (+ c (+ d e)))
(+ b (+ c (+ d e)))
(+ b (+ c (+ d e)))
(+ d e)
(+ c (+ d e))
(+ c (+ d e))
(+ c (+ d e))
(+ a (+ b (+ d e)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ d e)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(/ (+ a (+ b e)) d)
(+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))
(+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))
(+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))
(+ a (+ b e))
(+ a (+ b (+ c e)))
(+ a (+ b (+ c e)))
(+ a (+ b (+ c e)))
(+ a (+ b (+ d e)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ d e)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(/ (+ a (+ d e)) b)
(+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))
(+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))
(+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))
(+ a (+ d e))
(+ a (+ c (+ d e)))
(+ a (+ c (+ d e)))
(+ a (+ c (+ d e)))
(+ b e)
(+ b (+ c e))
(+ b (+ c e))
(+ b (+ c e))
c
(* c (+ 1 (+ (/ e c) (/ (* d (+ 1 (+ (/ a d) (/ b d)))) c))))
(* c (+ 1 (+ (/ e c) (/ (* d (+ 1 (+ (/ a d) (/ b d)))) c))))
(* c (+ 1 (+ (/ e c) (/ (* d (+ 1 (+ (/ a d) (/ b d)))) c))))
(/ c d)
(* c (+ (/ 1 c) (+ (/ 1 d) (+ (/ a (* c d)) (/ b (* c d))))))
(* c (+ (/ 1 c) (+ (/ 1 d) (+ (/ a (* c d)) (/ b (* c d))))))
(* c (+ (/ 1 c) (+ (/ 1 d) (+ (/ a (* c d)) (/ b (* c d))))))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
c
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
c
(* c (+ 1 (+ (/ d c) (/ e c))))
(* c (+ 1 (+ (/ d c) (/ e c))))
(* c (+ 1 (+ (/ d c) (/ e c))))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(/ c d)
(* c (+ (/ 1 d) (+ (/ a (* c d)) (+ (/ b (* c d)) (/ e (* c d))))))
(* c (+ (/ 1 d) (+ (/ a (* c d)) (+ (/ b (* c d)) (/ e (* c d))))))
(* c (+ (/ 1 d) (+ (/ a (* c d)) (+ (/ b (* c d)) (/ e (* c d))))))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ e c)))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ e c)))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ e c)))))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(/ c b)
(* c (+ (/ 1 b) (+ (/ a (* b c)) (+ (/ d (* b c)) (/ e (* b c))))))
(* c (+ (/ 1 b) (+ (/ a (* b c)) (+ (/ d (* b c)) (/ e (* b c))))))
(* c (+ (/ 1 b) (+ (/ a (* b c)) (+ (/ d (* b c)) (/ e (* b c))))))
c
(* c (+ 1 (+ (/ a c) (+ (/ d c) (/ e c)))))
(* c (+ 1 (+ (/ a c) (+ (/ d c) (/ e c)))))
(* c (+ 1 (+ (/ a c) (+ (/ d c) (/ e c)))))
c
(* c (+ 1 (+ (/ b c) (/ e c))))
(* c (+ 1 (+ (/ b c) (/ e c))))
(* c (+ 1 (+ (/ b c) (/ e c))))
c
(* -1 (* c (- (* -1 (/ (+ e (* d (+ 1 (+ (/ a d) (/ b d))))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ e (* d (+ 1 (+ (/ a d) (/ b d))))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ e (* d (+ 1 (+ (/ a d) (/ b d))))) c)) 1)))
(/ c d)
(* -1 (* c (- (* -1 (/ (+ 1 (+ (/ a d) (/ b d))) c)) (/ 1 d))))
(* -1 (* c (- (* -1 (/ (+ 1 (+ (/ a d) (/ b d))) c)) (/ 1 d))))
(* -1 (* c (- (* -1 (/ (+ 1 (+ (/ a d) (/ b d))) c)) (/ 1 d))))
c
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
c
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
c
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
c
(* -1 (* c (- (* -1 (/ (+ d e) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ d e) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ d e) c)) 1)))
c
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
c
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(/ c d)
(* -1 (* c (- (* -1 (/ (+ (/ a d) (+ (/ b d) (/ e d))) c)) (/ 1 d))))
(* -1 (* c (- (* -1 (/ (+ (/ a d) (+ (/ b d) (/ e d))) c)) (/ 1 d))))
(* -1 (* c (- (* -1 (/ (+ (/ a d) (+ (/ b d) (/ e d))) c)) (/ 1 d))))
c
(* -1 (* c (- (* -1 (/ (+ a (+ b e)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b e)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b e)) c)) 1)))
c
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
c
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(/ c b)
(* -1 (* c (- (* -1 (/ (+ (/ a b) (+ (/ d b) (/ e b))) c)) (/ 1 b))))
(* -1 (* c (- (* -1 (/ (+ (/ a b) (+ (/ d b) (/ e b))) c)) (/ 1 b))))
(* -1 (* c (- (* -1 (/ (+ (/ a b) (+ (/ d b) (/ e b))) c)) (/ 1 b))))
c
(* -1 (* c (- (* -1 (/ (+ a (+ d e)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ d e)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ d e)) c)) 1)))
c
(* -1 (* c (- (* -1 (/ (+ b e) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ b e) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ b e) c)) 1)))
(+ e (* d (+ 1 (+ (/ a d) (/ c d)))))
(+ b (+ e (* d (+ 1 (+ (/ a d) (/ c d))))))
(+ b (+ e (* d (+ 1 (+ (/ a d) (/ c d))))))
(+ b (+ e (* d (+ 1 (+ (/ a d) (/ c d))))))
(+ 1 (+ (/ a d) (/ c d)))
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))
(+ 1 (/ a d))
(+ 1 (+ (/ a d) (/ b d)))
(+ 1 (+ (/ a d) (/ b d)))
(+ 1 (+ (/ a d) (/ b d)))
(+ a (+ c (+ d e)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ c (+ d e)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ c (+ d e))
(+ b (+ c (+ d e)))
(+ b (+ c (+ d e)))
(+ b (+ c (+ d e)))
(+ a (+ c (+ d e)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ c (+ d e)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(/ (+ a (+ c e)) d)
(+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))
(+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))
(+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))
(+ a (+ c e))
(+ a (+ b (+ c e)))
(+ a (+ b (+ c e)))
(+ a (+ b (+ c e)))
(+ a (+ c (+ d e)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ c (+ d e)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(/ (+ a (+ c (+ d e))) b)
(/ (+ a (+ c (+ d e))) b)
(/ (+ a (+ c (+ d e))) b)
(/ (+ a (+ c (+ d e))) b)
(+ c e)
(+ b (+ c e))
(+ b (+ c e))
(+ b (+ c e))
b
(* b (+ 1 (+ (/ e b) (/ (* d (+ 1 (+ (/ a d) (/ c d)))) b))))
(* b (+ 1 (+ (/ e b) (/ (* d (+ 1 (+ (/ a d) (/ c d)))) b))))
(* b (+ 1 (+ (/ e b) (/ (* d (+ 1 (+ (/ a d) (/ c d)))) b))))
(/ b d)
(* b (+ (/ 1 b) (+ (/ 1 d) (+ (/ a (* b d)) (/ c (* b d))))))
(* b (+ (/ 1 b) (+ (/ 1 d) (+ (/ a (* b d)) (/ c (* b d))))))
(* b (+ (/ 1 b) (+ (/ 1 d) (+ (/ a (* b d)) (/ c (* b d))))))
(/ b d)
(* b (+ (/ 1 b) (+ (/ 1 d) (/ a (* b d)))))
(* b (+ (/ 1 b) (+ (/ 1 d) (/ a (* b d)))))
(* b (+ (/ 1 b) (+ (/ 1 d) (/ a (* b d)))))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
b
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b)))))
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b)))))
(* b (+ 1 (+ (/ c b) (+ (/ d b) (/ e b)))))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(/ b d)
(* b (+ (/ 1 d) (+ (/ a (* b d)) (+ (/ c (* b d)) (/ e (* b d))))))
(* b (+ (/ 1 d) (+ (/ a (* b d)) (+ (/ c (* b d)) (/ e (* b d))))))
(* b (+ (/ 1 d) (+ (/ a (* b d)) (+ (/ c (* b d)) (/ e (* b d))))))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ e b)))))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ e b)))))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ e b)))))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))))
(/ (+ a (+ c (+ d e))) b)
(/ (+ a (+ c (+ d e))) b)
(/ (+ a (+ c (+ d e))) b)
(/ (+ a (+ c (+ d e))) b)
b
(* b (+ 1 (+ (/ c b) (/ e b))))
(* b (+ 1 (+ (/ c b) (/ e b))))
(* b (+ 1 (+ (/ c b) (/ e b))))
b
(* -1 (* b (- (* -1 (/ (+ e (* d (+ 1 (+ (/ a d) (/ c d))))) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ e (* d (+ 1 (+ (/ a d) (/ c d))))) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ e (* d (+ 1 (+ (/ a d) (/ c d))))) b)) 1)))
(/ b d)
(* -1 (* b (- (* -1 (/ (+ 1 (+ (/ a d) (/ c d))) b)) (/ 1 d))))
(* -1 (* b (- (* -1 (/ (+ 1 (+ (/ a d) (/ c d))) b)) (/ 1 d))))
(* -1 (* b (- (* -1 (/ (+ 1 (+ (/ a d) (/ c d))) b)) (/ 1 d))))
(/ b d)
(* -1 (* b (- (* -1 (/ (+ 1 (/ a d)) b)) (/ 1 d))))
(* -1 (* b (- (* -1 (/ (+ 1 (/ a d)) b)) (/ 1 d))))
(* -1 (* b (- (* -1 (/ (+ 1 (/ a d)) b)) (/ 1 d))))
b
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
b
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
b
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ c (+ d e)) b)) 1)))
b
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
b
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
(/ b d)
(* -1 (* b (- (* -1 (/ (+ (/ a d) (+ (/ c d) (/ e d))) b)) (/ 1 d))))
(* -1 (* b (- (* -1 (/ (+ (/ a d) (+ (/ c d) (/ e d))) b)) (/ 1 d))))
(* -1 (* b (- (* -1 (/ (+ (/ a d) (+ (/ c d) (/ e d))) b)) (/ 1 d))))
b
(* -1 (* b (- (* -1 (/ (+ a (+ c e)) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ a (+ c e)) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ a (+ c e)) b)) 1)))
b
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
b
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ a (+ c (+ d e))) b)) 1)))
(/ (+ a (+ c (+ d e))) b)
(/ (+ a (+ c (+ d e))) b)
(/ (+ a (+ c (+ d e))) b)
(/ (+ a (+ c (+ d e))) b)
b
(* -1 (* b (- (* -1 (/ (+ c e) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ c e) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ c e) b)) 1)))
(+ e (* d (+ 1 (+ (/ b d) (/ c d)))))
(+ a (+ e (* d (+ 1 (+ (/ b d) (/ c d))))))
(+ a (+ e (* d (+ 1 (+ (/ b d) (/ c d))))))
(+ a (+ e (* d (+ 1 (+ (/ b d) (/ c d))))))
(+ 1 (+ (/ b d) (/ c d)))
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))
(+ 1 (/ b d))
(+ 1 (+ (/ a d) (/ b d)))
(+ 1 (+ (/ a d) (/ b d)))
(+ 1 (+ (/ a d) (/ b d)))
(+ b (+ c (+ d e)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ b (+ c (+ d e)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ b (+ c (+ d e)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ b (+ c (+ d e)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(/ (+ b (+ c e)) d)
(+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))
(+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))
(+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))
(+ b (+ c e))
(+ a (+ b (+ c e)))
(+ a (+ b (+ c e)))
(+ a (+ b (+ c e)))
(+ b (+ c (+ d e)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ b (+ c (+ d e)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(/ (+ c (+ d e)) b)
(+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))
(+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))
(+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))
(+ c (+ d e))
(+ a (+ c (+ d e)))
(+ a (+ c (+ d e)))
(+ a (+ c (+ d e)))
1
(+ 1 (/ a d))
(+ 1 (/ a d))
(+ 1 (/ a d))
a
(* a (+ 1 (+ (/ e a) (/ (* d (+ 1 (+ (/ b d) (/ c d)))) a))))
(* a (+ 1 (+ (/ e a) (/ (* d (+ 1 (+ (/ b d) (/ c d)))) a))))
(* a (+ 1 (+ (/ e a) (/ (* d (+ 1 (+ (/ b d) (/ c d)))) a))))
(/ a d)
(* a (+ (/ 1 a) (+ (/ 1 d) (+ (/ b (* a d)) (/ c (* a d))))))
(* a (+ (/ 1 a) (+ (/ 1 d) (+ (/ b (* a d)) (/ c (* a d))))))
(* a (+ (/ 1 a) (+ (/ 1 d) (+ (/ b (* a d)) (/ c (* a d))))))
(/ a d)
(* a (+ (/ 1 a) (+ (/ 1 d) (/ b (* a d)))))
(* a (+ (/ 1 a) (+ (/ 1 d) (/ b (* a d)))))
(* a (+ (/ 1 a) (+ (/ 1 d) (/ b (* a d)))))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(/ a d)
(* a (+ (/ 1 d) (+ (/ b (* a d)) (+ (/ c (* a d)) (/ e (* a d))))))
(* a (+ (/ 1 d) (+ (/ b (* a d)) (+ (/ c (* a d)) (/ e (* a d))))))
(* a (+ (/ 1 d) (+ (/ b (* a d)) (+ (/ c (* a d)) (/ e (* a d))))))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ e a)))))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ e a)))))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ e a)))))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (+ (/ d a) (/ e a))))))
(/ a b)
(* a (+ (/ 1 b) (+ (/ c (* a b)) (+ (/ d (* a b)) (/ e (* a b))))))
(* a (+ (/ 1 b) (+ (/ c (* a b)) (+ (/ d (* a b)) (/ e (* a b))))))
(* a (+ (/ 1 b) (+ (/ c (* a b)) (+ (/ d (* a b)) (/ e (* a b))))))
a
(* a (+ 1 (+ (/ c a) (+ (/ d a) (/ e a)))))
(* a (+ 1 (+ (/ c a) (+ (/ d a) (/ e a)))))
(* a (+ 1 (+ (/ c a) (+ (/ d a) (/ e a)))))
(/ a d)
(* a (+ (/ 1 a) (/ 1 d)))
(* a (+ (/ 1 a) (/ 1 d)))
(* a (+ (/ 1 a) (/ 1 d)))
a
(* -1 (* a (- (* -1 (/ (+ e (* d (+ 1 (+ (/ b d) (/ c d))))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ e (* d (+ 1 (+ (/ b d) (/ c d))))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ e (* d (+ 1 (+ (/ b d) (/ c d))))) a)) 1)))
(/ a d)
(* -1 (* a (- (* -1 (/ (+ 1 (+ (/ b d) (/ c d))) a)) (/ 1 d))))
(* -1 (* a (- (* -1 (/ (+ 1 (+ (/ b d) (/ c d))) a)) (/ 1 d))))
(* -1 (* a (- (* -1 (/ (+ 1 (+ (/ b d) (/ c d))) a)) (/ 1 d))))
(/ a d)
(* -1 (* a (- (* -1 (/ (+ 1 (/ b d)) a)) (/ 1 d))))
(* -1 (* a (- (* -1 (/ (+ 1 (/ b d)) a)) (/ 1 d))))
(* -1 (* a (- (* -1 (/ (+ 1 (/ b d)) a)) (/ 1 d))))
a
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
a
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
a
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
a
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
(/ a d)
(* -1 (* a (- (* -1 (/ (+ (/ b d) (+ (/ c d) (/ e d))) a)) (/ 1 d))))
(* -1 (* a (- (* -1 (/ (+ (/ b d) (+ (/ c d) (/ e d))) a)) (/ 1 d))))
(* -1 (* a (- (* -1 (/ (+ (/ b d) (+ (/ c d) (/ e d))) a)) (/ 1 d))))
a
(* -1 (* a (- (* -1 (/ (+ b (+ c e)) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (+ c e)) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (+ c e)) a)) 1)))
a
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
a
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (+ c (+ d e))) a)) 1)))
(/ a b)
(* -1 (* a (- (* -1 (/ (+ (/ c b) (+ (/ d b) (/ e b))) a)) (/ 1 b))))
(* -1 (* a (- (* -1 (/ (+ (/ c b) (+ (/ d b) (/ e b))) a)) (/ 1 b))))
(* -1 (* a (- (* -1 (/ (+ (/ c b) (+ (/ d b) (/ e b))) a)) (/ 1 b))))
a
(* -1 (* a (- (* -1 (/ (+ c (+ d e)) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ c (+ d e)) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ c (+ d e)) a)) 1)))
(/ a d)
(* a (+ (/ 1 a) (/ 1 d)))
(* a (+ (/ 1 a) (/ 1 d)))
(* a (+ (/ 1 a) (/ 1 d)))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(+ e (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))))
(+ e (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))))
(+ e (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
d
(+ d e)
(+ d e)
(+ d e)
d
(+ d e)
(+ d e)
(+ d e)
(+ a (+ b (+ c d)))
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(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
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(+ b (+ c (+ d e)))
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(+ c d)
(+ c (+ d e))
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(+ a (+ b (+ c d)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
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(+ a (+ b (+ c (+ d e))))
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(+ a (+ b (+ c (+ d e))))
(/ (+ a (+ b c)) d)
(+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))
(+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))
(+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))
(+ a (+ b c))
(+ a (+ b (+ c e)))
(+ a (+ b (+ c e)))
(+ a (+ b (+ c e)))
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(+ a (+ b (+ c (+ d e))))
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(/ (+ a (+ c d)) b)
(+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))
(+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))
(+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))
(+ a (+ c d))
(+ a (+ c (+ d e)))
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(+ a (+ c (+ d e)))
(+ b c)
(+ b (+ c e))
(+ b (+ c e))
(+ b (+ c e))
e
(* e (+ 1 (/ (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))) e)))
(* e (+ 1 (/ (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))) e)))
(* e (+ 1 (/ (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))) e)))
e
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
e
(* e (+ 1 (/ d e)))
(* e (+ 1 (/ d e)))
(* e (+ 1 (/ d e)))
e
(* e (+ 1 (/ d e)))
(* e (+ 1 (/ d e)))
(* e (+ 1 (/ d e)))
e
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
e
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e)))))
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e)))))
(* e (+ 1 (+ (/ b e) (+ (/ c e) (/ d e)))))
e
(* e (+ 1 (+ (/ c e) (/ d e))))
(* e (+ 1 (+ (/ c e) (/ d e))))
(* e (+ 1 (+ (/ c e) (/ d e))))
e
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
e
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
(/ e d)
(* e (+ (/ 1 d) (+ (/ a (* d e)) (+ (/ b (* d e)) (/ c (* d e))))))
(* e (+ (/ 1 d) (+ (/ a (* d e)) (+ (/ b (* d e)) (/ c (* d e))))))
(* e (+ (/ 1 d) (+ (/ a (* d e)) (+ (/ b (* d e)) (/ c (* d e))))))
e
(* e (+ 1 (+ (/ a e) (+ (/ b e) (/ c e)))))
(* e (+ 1 (+ (/ a e) (+ (/ b e) (/ c e)))))
(* e (+ 1 (+ (/ a e) (+ (/ b e) (/ c e)))))
e
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
e
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
(* e (+ 1 (+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))))
(/ e b)
(* e (+ (/ 1 b) (+ (/ a (* b e)) (+ (/ c (* b e)) (/ d (* b e))))))
(* e (+ (/ 1 b) (+ (/ a (* b e)) (+ (/ c (* b e)) (/ d (* b e))))))
(* e (+ (/ 1 b) (+ (/ a (* b e)) (+ (/ c (* b e)) (/ d (* b e))))))
e
(* e (+ 1 (+ (/ a e) (+ (/ c e) (/ d e)))))
(* e (+ 1 (+ (/ a e) (+ (/ c e) (/ d e)))))
(* e (+ 1 (+ (/ a e) (+ (/ c e) (/ d e)))))
e
(* e (+ 1 (+ (/ b e) (/ c e))))
(* e (+ 1 (+ (/ b e) (/ c e))))
(* e (+ 1 (+ (/ b e) (/ c e))))
e
(* -1 (* e (- (* -1 (/ (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))) e)) 1)))
(* -1 (* e (- (* -1 (/ (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))) e)) 1)))
(* -1 (* e (- (* -1 (/ (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))) e)) 1)))
e
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
e
(* -1 (* e (- (* -1 (/ d e)) 1)))
(* -1 (* e (- (* -1 (/ d e)) 1)))
(* -1 (* e (- (* -1 (/ d e)) 1)))
e
(* -1 (* e (- (* -1 (/ d e)) 1)))
(* -1 (* e (- (* -1 (/ d e)) 1)))
(* -1 (* e (- (* -1 (/ d e)) 1)))
e
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
e
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1)))
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1)))
(* -1 (* e (- (* -1 (/ (+ b (+ c d)) e)) 1)))
e
(* -1 (* e (- (* -1 (/ (+ c d) e)) 1)))
(* -1 (* e (- (* -1 (/ (+ c d) e)) 1)))
(* -1 (* e (- (* -1 (/ (+ c d) e)) 1)))
e
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
e
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
(/ e d)
(* -1 (* e (- (* -1 (/ (+ (/ a d) (+ (/ b d) (/ c d))) e)) (/ 1 d))))
(* -1 (* e (- (* -1 (/ (+ (/ a d) (+ (/ b d) (/ c d))) e)) (/ 1 d))))
(* -1 (* e (- (* -1 (/ (+ (/ a d) (+ (/ b d) (/ c d))) e)) (/ 1 d))))
e
(* -1 (* e (- (* -1 (/ (+ a (+ b c)) e)) 1)))
(* -1 (* e (- (* -1 (/ (+ a (+ b c)) e)) 1)))
(* -1 (* e (- (* -1 (/ (+ a (+ b c)) e)) 1)))
e
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
e
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
(* -1 (* e (- (* -1 (/ (+ a (+ b (+ c d))) e)) 1)))
(/ e b)
(* -1 (* e (- (* -1 (/ (+ (/ a b) (+ (/ c b) (/ d b))) e)) (/ 1 b))))
(* -1 (* e (- (* -1 (/ (+ (/ a b) (+ (/ c b) (/ d b))) e)) (/ 1 b))))
(* -1 (* e (- (* -1 (/ (+ (/ a b) (+ (/ c b) (/ d b))) e)) (/ 1 b))))
e
(* -1 (* e (- (* -1 (/ (+ a (+ c d)) e)) 1)))
(* -1 (* e (- (* -1 (/ (+ a (+ c d)) e)) 1)))
(* -1 (* e (- (* -1 (/ (+ a (+ c d)) e)) 1)))
e
(* -1 (* e (- (* -1 (/ (+ b c) e)) 1)))
(* -1 (* e (- (* -1 (/ (+ b c) e)) 1)))
(* -1 (* e (- (* -1 (/ (+ b c) e)) 1)))
(+ a (+ b (+ c e)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(/ (+ a (+ b c)) d)
(/ (+ a (+ b (+ c d))) d)
(/ (+ a (+ b (+ c d))) d)
(/ (+ a (+ b (+ c d))) d)
(/ (+ a b) d)
(/ (+ a (+ b d)) d)
(/ (+ a (+ b d)) d)
(/ (+ a (+ b d)) d)
(+ a (+ b (+ c e)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
e
(+ d e)
(+ d e)
(+ d e)
e
(+ d e)
(+ d e)
(+ d e)
(+ a (+ b (+ c e)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ b (+ c e))
(+ b (+ c (+ d e)))
(+ b (+ c (+ d e)))
(+ b (+ c (+ d e)))
(+ c e)
(+ c (+ d e))
(+ c (+ d e))
(+ c (+ d e))
(+ a (+ b (+ c e)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c e)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(/ (+ a (+ b (+ c e))) d)
(/ (+ a (+ b (+ c e))) d)
(/ (+ a (+ b (+ c e))) d)
(/ (+ a (+ b (+ c e))) d)
(+ a (+ b (+ c e)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c e)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(/ (+ a (+ c e)) b)
(+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))
(+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))
(+ (/ a b) (+ (/ c b) (+ (/ d b) (/ e b))))
(+ a (+ c e))
(+ a (+ c (+ d e)))
(+ a (+ c (+ d e)))
(+ a (+ c (+ d e)))
(/ a d)
(/ (+ a d) d)
(/ (+ a d) d)
(/ (+ a d) d)
d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
1
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))
1
(+ 1 (+ (/ a d) (/ b d)))
(+ 1 (+ (/ a d) (/ b d)))
(+ 1 (+ (/ a d) (/ b d)))
d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
d
(* d (+ 1 (/ e d)))
(* d (+ 1 (/ e d)))
(* d (+ 1 (/ e d)))
d
(* d (+ 1 (/ e d)))
(* d (+ 1 (/ e d)))
(* d (+ 1 (/ e d)))
d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
d
(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d)))))
(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d)))))
(* d (+ 1 (+ (/ b d) (+ (/ c d) (/ e d)))))
d
(* d (+ 1 (+ (/ c d) (/ e d))))
(* d (+ 1 (+ (/ c d) (/ e d))))
(* d (+ 1 (+ (/ c d) (/ e d))))
d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(/ (+ a (+ b (+ c e))) d)
(/ (+ a (+ b (+ c e))) d)
(/ (+ a (+ b (+ c e))) d)
(/ (+ a (+ b (+ c e))) d)
d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (+ (/ c d) (/ e d))))))
(/ d b)
(* d (+ (/ 1 b) (+ (/ a (* b d)) (+ (/ c (* b d)) (/ e (* b d))))))
(* d (+ (/ 1 b) (+ (/ a (* b d)) (+ (/ c (* b d)) (/ e (* b d))))))
(* d (+ (/ 1 b) (+ (/ a (* b d)) (+ (/ c (* b d)) (/ e (* b d))))))
d
(* d (+ 1 (+ (/ a d) (+ (/ c d) (/ e d)))))
(* d (+ 1 (+ (/ a d) (+ (/ c d) (/ e d)))))
(* d (+ 1 (+ (/ a d) (+ (/ c d) (/ e d)))))
1
(+ 1 (/ a d))
(+ 1 (/ a d))
(+ 1 (/ a d))
d
(* -1 (* d (- (* -1 (/ (+ e (* -1 (+ (* -1 a) (+ (* -1 b) (* -1 c))))) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ e (* -1 (+ (* -1 a) (+ (* -1 b) (* -1 c))))) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ e (* -1 (+ (* -1 a) (+ (* -1 b) (* -1 c))))) d)) 1)))
1
(+ 1 (* -1 (/ (+ (* -1 a) (+ (* -1 b) (* -1 c))) d)))
(+ 1 (* -1 (/ (+ (* -1 a) (+ (* -1 b) (* -1 c))) d)))
(+ 1 (* -1 (/ (+ (* -1 a) (+ (* -1 b) (* -1 c))) d)))
1
(+ 1 (* -1 (/ (+ (* -1 a) (* -1 b)) d)))
(+ 1 (* -1 (/ (+ (* -1 a) (* -1 b)) d)))
(+ 1 (* -1 (/ (+ (* -1 a) (* -1 b)) d)))
d
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
d
(* -1 (* d (- (* -1 (/ e d)) 1)))
(* -1 (* d (- (* -1 (/ e d)) 1)))
(* -1 (* d (- (* -1 (/ e d)) 1)))
d
(* -1 (* d (- (* -1 (/ e d)) 1)))
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d
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
d
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ b (+ c e)) d)) 1)))
d
(* -1 (* d (- (* -1 (/ (+ c e) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ c e) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ c e) d)) 1)))
d
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
d
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
(/ (+ a (+ b (+ c e))) d)
(/ (+ a (+ b (+ c e))) d)
(/ (+ a (+ b (+ c e))) d)
(/ (+ a (+ b (+ c e))) d)
d
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
d
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a (+ b (+ c e))) d)) 1)))
(/ d b)
(* -1 (* d (- (* -1 (/ (+ (/ a b) (+ (/ c b) (/ e b))) d)) (/ 1 b))))
(* -1 (* d (- (* -1 (/ (+ (/ a b) (+ (/ c b) (/ e b))) d)) (/ 1 b))))
(* -1 (* d (- (* -1 (/ (+ (/ a b) (+ (/ c b) (/ e b))) d)) (/ 1 b))))
d
(* -1 (* d (- (* -1 (/ (+ a (+ c e)) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a (+ c e)) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a (+ c e)) d)) 1)))
1
(+ 1 (/ a d))
(+ 1 (/ a d))
(+ 1 (/ a d))
Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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rewrite189.0ms (3%)

Memory
21.8MiB live, 206.2MiB allocated
Rules
6 900×lower-*.f64
6 900×lower-*.f32
4 130×lower-/.f64
4 130×lower-/.f32
2 666×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048410440
04849987
138999945
094869903
Stop Event
iter limit
node limit
saturated
Counts
19 → 96
Calls
Call 1
Inputs
(fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e)
(+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d))
(+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d))
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e))
#s(approx (+ e d) (+.f64 d e))
(+.f64 d e)
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) c) b))
(+.f64 (+.f64 (+.f64 d e) c) b)
(+.f64 (+.f64 d e) c)
(fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c e) b) a) d) d d)
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c e) b) a) d) d d))
(/.f64 (+.f64 (+.f64 (+.f64 c e) b) a) d)
(+.f64 (+.f64 (+.f64 c e) b) a)
(fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) b b)
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) b b))
(/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b)
(+.f64 (+.f64 (+.f64 d e) c) a)
(+.f64 (/.f64 a d) #s(literal 1 binary64))
(+.f64 (+.f64 c e) b)
Outputs
#<batchref>
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eval295.0ms (4.7%)

Memory
-8.5MiB live, 194.5MiB allocated
Compiler

Compiled 15 074 to 1 116 computations (92.6% saved)

prune64.0ms (1%)

Memory
-8.5MiB live, 111.4MiB allocated
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New9692971
Fresh235
Picked235
Done011
Total9739982
Accuracy
100.0%
Counts
982 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
99.4%
(+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)) a)
99.5%
(+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e)) a)
99.4%
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) b b))
99.6%
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) e e))
99.7%
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e))
25.7%
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) c) b))
23.2%
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c)))
21.1%
#s(approx (+ e d) (+.f64 d e))
Compiler

Compiled 154 to 146 computations (5.2% saved)

simplify170.0ms (2.7%)

Memory
17.4MiB live, 137.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (+.f64 (+.f64 c e) b) d)
cost-diff0
#s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d))
cost-diff0
(+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)) a)
cost-diff896
(fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)
cost-diff0
(/.f64 (+.f64 (+.f64 c d) b) e)
cost-diff0
#s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e))
cost-diff0
(+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e)) a)
cost-diff896
(fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e)
cost-diff0
(+.f64 (+.f64 (+.f64 c d) b) a)
cost-diff0
(/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e)
cost-diff0
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) e e))
cost-diff896
(fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) e e)
cost-diff0
(+.f64 e d)
cost-diff0
(+.f64 (+.f64 e d) c)
cost-diff0
#s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c))
cost-diff0
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c)))
cost-diff0
(+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64)))
cost-diff0
(fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e)
cost-diff0
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e))
Rules
8 502×lower-fma.f32
8 494×lower-fma.f64
4 800×lower-*.f64
4 800×lower-*.f32
1 860×lower-/.f32
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
046361
070361
1129361
2225353
3476337
4861337
51108337
61608331
73488325
84280325
94673325
105181325
115363325
125585325
135835325
147664325
08216325
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e))
(fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e)
#s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64)))
(+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))
(/.f64 (+.f64 (+.f64 c b) a) d)
(+.f64 (+.f64 c b) a)
(+.f64 c b)
c
b
a
d
#s(literal 1 binary64)
e
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c)))
#s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c))
(+.f64 (+.f64 e d) c)
(+.f64 e d)
e
d
c
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) e e))
(fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) e e)
(/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e)
(+.f64 (+.f64 (+.f64 c d) b) a)
(+.f64 (+.f64 c d) b)
(+.f64 c d)
c
d
b
a
e
(+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e)) a)
#s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e))
(fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e)
(/.f64 (+.f64 (+.f64 c d) b) e)
(+.f64 (+.f64 c d) b)
(+.f64 c d)
c
d
b
e
a
(+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)) a)
#s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d))
(fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)
(/.f64 (+.f64 (+.f64 c e) b) d)
(+.f64 (+.f64 c e) b)
(+.f64 c e)
c
e
b
d
a
Outputs
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

localize184.0ms (2.9%)

Memory
-14.9MiB live, 145.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.1328125
(fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)
accuracy0.1875
(/.f64 (+.f64 (+.f64 c e) b) d)
accuracy0.1953125
(+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)) a)
accuracy0.2109375
(+.f64 (+.f64 c e) b)
accuracy0.0859375
(fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e)
accuracy0.1796875
(+.f64 (+.f64 c d) b)
accuracy0.1953125
(+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e)) a)
accuracy0.2890625
(/.f64 (+.f64 (+.f64 c d) b) e)
accuracy0.11328125
(fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) e e)
accuracy0.1796875
(+.f64 (+.f64 c d) b)
accuracy0.25
(+.f64 (+.f64 (+.f64 c d) b) a)
accuracy0.30859375
(/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e)
accuracy0
(+.f64 e d)
accuracy0.203125
(+.f64 (+.f64 e d) c)
accuracy41.99245982515524
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c)))
accuracy42.87927806508946
#s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c))
accuracy0.09765625
(fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e)
accuracy0.21875
(+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))
accuracy0.2421875
(/.f64 (+.f64 (+.f64 c b) a) d)
accuracy0.25390625
(+.f64 (+.f64 c b) a)
Samples
71.0ms226×0valid
46.0ms30×5exit
Compiler

Compiled 243 to 41 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-add: 41.0ms (48.9% of total)
adjust: 21.0ms (25% of total)
ival-div: 14.0ms (16.7% of total)
ival-mult: 7.0ms (8.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series104.0ms (1.7%)

Memory
-41.8MiB live, 119.0MiB allocated
Counts
24 → 1 176
Calls
Call 1
Inputs
#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 e d) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) e e) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) e e)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 c d) b) a) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e)) a) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (+.f64 (+.f64 c d) b) e) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)) a) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (+.f64 (+.f64 c e) b) d) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (+.f64 c b) a) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (+.f64 (+.f64 c b) a) d) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (+.f64 c d) b) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 (+.f64 c e) b) #<representation binary64>) () ())
Outputs
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 e d) c) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) e e) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) e e) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) e e) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) e e) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) e e)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) e e)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) e e)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) e e)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 c d) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 c d) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 c d) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 (+.f64 (+.f64 c d) b) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e)) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e)) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e)) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e)) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 (+.f64 (+.f64 c d) b) e) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 (+.f64 (+.f64 c d) b) e) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 (+.f64 (+.f64 c d) b) e) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 (+.f64 (+.f64 c d) b) e) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 c) (#s(alt #<batchref> (patch (/.f64 (+.f64 (+.f64 c e) b) d) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)) a) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 (+.f64 (+.f64 c e) b) d) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 (+.f64 (+.f64 c e) b) d) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 (+.f64 (+.f64 c e) b) d) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 (+.f64 (+.f64 c e) b) d) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 (+.f64 (+.f64 c b) a) d) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 (+.f64 (+.f64 c b) a) d) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 (+.f64 (+.f64 c b) a) d) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (/.f64 (+.f64 (+.f64 c b) a) d) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (+.f64 (+.f64 c d) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (+.f64 (+.f64 c d) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (+.f64 (+.f64 c d) b) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf d) (#s(alt #<batchref> (patch (+.f64 (+.f64 c d) b) #<representation binary64>) () ())) ())
Calls

15 calls:

TimeVariablePointExpression
24.0ms
d
@inf
((+ (+ (+ (+ e d) c) b) a) (+ (* (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) d) e) (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+ (/ (+ (+ c b) a) d) 1) (+ (+ (+ (+ e d) c) b) a) (+ (+ (+ d e) c) b) (+ (+ e d) c) (+ e d) (+ (* (/ (+ (+ (+ c d) b) a) e) e) e) (+ (+ (+ (+ e d) c) b) a) (/ (+ (+ (+ c d) b) a) e) (+ (+ (+ c d) b) a) (+ (* (/ (+ (+ c d) b) e) e) e) (+ (+ (+ (+ e d) c) b) a) (+ (+ (+ e d) c) b) (/ (+ (+ c d) b) e) (+ (* (/ (+ (+ c e) b) d) d) d) (+ (+ (+ (+ e d) c) b) a) (+ (+ (+ e d) c) b) (/ (+ (+ c e) b) d) (+ (+ c b) a) (/ (+ (+ c b) a) d) (+ (+ c d) b) (+ (+ c e) b))
3.0ms
d
@-inf
((+ (+ (+ (+ e d) c) b) a) (+ (* (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) d) e) (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+ (/ (+ (+ c b) a) d) 1) (+ (+ (+ (+ e d) c) b) a) (+ (+ (+ d e) c) b) (+ (+ e d) c) (+ e d) (+ (* (/ (+ (+ (+ c d) b) a) e) e) e) (+ (+ (+ (+ e d) c) b) a) (/ (+ (+ (+ c d) b) a) e) (+ (+ (+ c d) b) a) (+ (* (/ (+ (+ c d) b) e) e) e) (+ (+ (+ (+ e d) c) b) a) (+ (+ (+ e d) c) b) (/ (+ (+ c d) b) e) (+ (* (/ (+ (+ c e) b) d) d) d) (+ (+ (+ (+ e d) c) b) a) (+ (+ (+ e d) c) b) (/ (+ (+ c e) b) d) (+ (+ c b) a) (/ (+ (+ c b) a) d) (+ (+ c d) b) (+ (+ c e) b))
3.0ms
b
@inf
((+ (+ (+ (+ e d) c) b) a) (+ (* (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) d) e) (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+ (/ (+ (+ c b) a) d) 1) (+ (+ (+ (+ e d) c) b) a) (+ (+ (+ d e) c) b) (+ (+ e d) c) (+ e d) (+ (* (/ (+ (+ (+ c d) b) a) e) e) e) (+ (+ (+ (+ e d) c) b) a) (/ (+ (+ (+ c d) b) a) e) (+ (+ (+ c d) b) a) (+ (* (/ (+ (+ c d) b) e) e) e) (+ (+ (+ (+ e d) c) b) a) (+ (+ (+ e d) c) b) (/ (+ (+ c d) b) e) (+ (* (/ (+ (+ c e) b) d) d) d) (+ (+ (+ (+ e d) c) b) a) (+ (+ (+ e d) c) b) (/ (+ (+ c e) b) d) (+ (+ c b) a) (/ (+ (+ c b) a) d) (+ (+ c d) b) (+ (+ c e) b))
2.0ms
c
@-inf
((+ (+ (+ (+ e d) c) b) a) (+ (* (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) d) e) (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+ (/ (+ (+ c b) a) d) 1) (+ (+ (+ (+ e d) c) b) a) (+ (+ (+ d e) c) b) (+ (+ e d) c) (+ e d) (+ (* (/ (+ (+ (+ c d) b) a) e) e) e) (+ (+ (+ (+ e d) c) b) a) (/ (+ (+ (+ c d) b) a) e) (+ (+ (+ c d) b) a) (+ (* (/ (+ (+ c d) b) e) e) e) (+ (+ (+ (+ e d) c) b) a) (+ (+ (+ e d) c) b) (/ (+ (+ c d) b) e) (+ (* (/ (+ (+ c e) b) d) d) d) (+ (+ (+ (+ e d) c) b) a) (+ (+ (+ e d) c) b) (/ (+ (+ c e) b) d) (+ (+ c b) a) (/ (+ (+ c b) a) d) (+ (+ c d) b) (+ (+ c e) b))
2.0ms
c
@inf
((+ (+ (+ (+ e d) c) b) a) (+ (* (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) d) e) (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+ (/ (+ (+ c b) a) d) 1) (+ (+ (+ (+ e d) c) b) a) (+ (+ (+ d e) c) b) (+ (+ e d) c) (+ e d) (+ (* (/ (+ (+ (+ c d) b) a) e) e) e) (+ (+ (+ (+ e d) c) b) a) (/ (+ (+ (+ c d) b) a) e) (+ (+ (+ c d) b) a) (+ (* (/ (+ (+ c d) b) e) e) e) (+ (+ (+ (+ e d) c) b) a) (+ (+ (+ e d) c) b) (/ (+ (+ c d) b) e) (+ (* (/ (+ (+ c e) b) d) d) d) (+ (+ (+ (+ e d) c) b) a) (+ (+ (+ e d) c) b) (/ (+ (+ c e) b) d) (+ (+ c b) a) (/ (+ (+ c b) a) d) (+ (+ c d) b) (+ (+ c e) b))

simplify568.0ms (9.1%)

Memory
29.2MiB live, 261.3MiB allocated
Algorithm
egg-herbie
Rules
9 202×lower-fma.f64
9 202×lower-fma.f32
5 206×lower-*.f64
5 206×lower-*.f32
4 336×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049612582
1150612537
2455112171
0851411641
Stop Event
iter limit
node limit
Counts
1 176 → 1 028
Calls
Call 1
Inputs
(+ a (+ b (+ d e)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ e (* d (+ 1 (+ (/ a d) (/ b d)))))
(+ c (+ e (* d (+ 1 (+ (/ a d) (/ b d))))))
(+ c (+ e (* d (+ 1 (+ (/ a d) (/ b d))))))
(+ c (+ e (* d (+ 1 (+ (/ a d) (/ b d))))))
(+ 1 (+ (/ a d) (/ b d)))
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))
(+ 1 (+ (/ a d) (/ b d)))
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))
(+ a (+ b (+ d e)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ b (+ d e))
(+ b (+ c (+ d e)))
(+ b (+ c (+ d e)))
(+ b (+ c (+ d e)))
(+ d e)
(+ c (+ d e))
(+ c (+ d e))
(+ c (+ d e))
(+ a (+ b (+ d e)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ d e)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(/ (+ a (+ b d)) e)
(+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))
(+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))
(+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))
(+ a (+ b d))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ b (+ d e))
(+ b (+ c (+ d e)))
(+ b (+ c (+ d e)))
(+ b (+ c (+ d e)))
(+ a (+ b (+ d e)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ b (+ d e))
(+ b (+ c (+ d e)))
(+ b (+ c (+ d e)))
(+ b (+ c (+ d e)))
(/ (+ b d) e)
(+ (/ b e) (+ (/ c e) (/ d e)))
(+ (/ b e) (+ (/ c e) (/ d e)))
(+ (/ b e) (+ (/ c e) (/ d e)))
(+ b (+ d e))
(+ b (+ c (+ d e)))
(+ b (+ c (+ d e)))
(+ b (+ c (+ d e)))
(+ a (+ b (+ d e)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ b (+ d e))
(+ b (+ c (+ d e)))
(+ b (+ c (+ d e)))
(+ b (+ c (+ d e)))
(/ (+ b e) d)
(+ (/ b d) (+ (/ c d) (/ e d)))
(+ (/ b d) (+ (/ c d) (/ e d)))
(+ (/ b d) (+ (/ c d) (/ e d)))
(+ a b)
(+ a (+ b c))
(+ a (+ b c))
(+ a (+ b c))
(/ (+ a b) d)
(+ (/ a d) (+ (/ b d) (/ c d)))
(+ (/ a d) (+ (/ b d) (/ c d)))
(+ (/ a d) (+ (/ b d) (/ c d)))
(+ b d)
(+ b (+ c d))
(+ b (+ c d))
(+ b (+ c d))
(+ b e)
(+ b (+ c e))
(+ b (+ c e))
(+ b (+ c e))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
c
(* c (+ 1 (+ (/ e c) (/ (* d (+ 1 (+ (/ a d) (/ b d)))) c))))
(* c (+ 1 (+ (/ e c) (/ (* d (+ 1 (+ (/ a d) (/ b d)))) c))))
(* c (+ 1 (+ (/ e c) (/ (* d (+ 1 (+ (/ a d) (/ b d)))) c))))
(/ c d)
(* c (+ (/ 1 c) (+ (/ 1 d) (+ (/ a (* c d)) (/ b (* c d))))))
(* c (+ (/ 1 c) (+ (/ 1 d) (+ (/ a (* c d)) (/ b (* c d))))))
(* c (+ (/ 1 c) (+ (/ 1 d) (+ (/ a (* c d)) (/ b (* c d))))))
(/ c d)
(* c (+ (/ 1 c) (+ (/ 1 d) (+ (/ a (* c d)) (/ b (* c d))))))
(* c (+ (/ 1 c) (+ (/ 1 d) (+ (/ a (* c d)) (/ b (* c d))))))
(* c (+ (/ 1 c) (+ (/ 1 d) (+ (/ a (* c d)) (/ b (* c d))))))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
c
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
c
(* c (+ 1 (+ (/ d c) (/ e c))))
(* c (+ 1 (+ (/ d c) (/ e c))))
(* c (+ 1 (+ (/ d c) (/ e c))))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(/ c e)
(* c (+ (/ 1 e) (+ (/ a (* c e)) (+ (/ b (* c e)) (/ d (* c e))))))
(* c (+ (/ 1 e) (+ (/ a (* c e)) (+ (/ b (* c e)) (/ d (* c e))))))
(* c (+ (/ 1 e) (+ (/ a (* c e)) (+ (/ b (* c e)) (/ d (* c e))))))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
c
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
c
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
(/ c e)
(* c (+ (/ 1 e) (+ (/ b (* c e)) (/ d (* c e)))))
(* c (+ (/ 1 e) (+ (/ b (* c e)) (/ d (* c e)))))
(* c (+ (/ 1 e) (+ (/ b (* c e)) (/ d (* c e)))))
c
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (+ (/ d c) (/ e c))))))
c
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
(* c (+ 1 (+ (/ b c) (+ (/ d c) (/ e c)))))
(/ c d)
(* c (+ (/ 1 d) (+ (/ b (* c d)) (/ e (* c d)))))
(* c (+ (/ 1 d) (+ (/ b (* c d)) (/ e (* c d)))))
(* c (+ (/ 1 d) (+ (/ b (* c d)) (/ e (* c d)))))
c
(* c (+ 1 (+ (/ a c) (/ b c))))
(* c (+ 1 (+ (/ a c) (/ b c))))
(* c (+ 1 (+ (/ a c) (/ b c))))
(/ c d)
(* c (+ (/ 1 d) (+ (/ a (* c d)) (/ b (* c d)))))
(* c (+ (/ 1 d) (+ (/ a (* c d)) (/ b (* c d)))))
(* c (+ (/ 1 d) (+ (/ a (* c d)) (/ b (* c d)))))
c
(* c (+ 1 (+ (/ b c) (/ d c))))
(* c (+ 1 (+ (/ b c) (/ d c))))
(* c (+ 1 (+ (/ b c) (/ d c))))
c
(* c (+ 1 (+ (/ b c) (/ e c))))
(* c (+ 1 (+ (/ b c) (/ e c))))
(* c (+ 1 (+ (/ b c) (/ e c))))
c
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
c
(* -1 (* c (- (* -1 (/ (+ e (* d (+ 1 (+ (/ a d) (/ b d))))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ e (* d (+ 1 (+ (/ a d) (/ b d))))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ e (* d (+ 1 (+ (/ a d) (/ b d))))) c)) 1)))
(/ c d)
(* -1 (* c (- (* -1 (/ (+ 1 (+ (/ a d) (/ b d))) c)) (/ 1 d))))
(* -1 (* c (- (* -1 (/ (+ 1 (+ (/ a d) (/ b d))) c)) (/ 1 d))))
(* -1 (* c (- (* -1 (/ (+ 1 (+ (/ a d) (/ b d))) c)) (/ 1 d))))
(/ c d)
(* -1 (* c (- (* -1 (/ (+ 1 (+ (/ a d) (/ b d))) c)) (/ 1 d))))
(* -1 (* c (- (* -1 (/ (+ 1 (+ (/ a d) (/ b d))) c)) (/ 1 d))))
(* -1 (* c (- (* -1 (/ (+ 1 (+ (/ a d) (/ b d))) c)) (/ 1 d))))
c
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
c
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
c
(* -1 (* c (- (* -1 (/ (+ d e) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ d e) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ d e) c)) 1)))
c
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
c
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(/ c e)
(* -1 (* c (- (* -1 (/ (+ (/ a e) (+ (/ b e) (/ d e))) c)) (/ 1 e))))
(* -1 (* c (- (* -1 (/ (+ (/ a e) (+ (/ b e) (/ d e))) c)) (/ 1 e))))
(* -1 (* c (- (* -1 (/ (+ (/ a e) (+ (/ b e) (/ d e))) c)) (/ 1 e))))
c
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
c
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
c
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
c
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
(/ c e)
(* -1 (* c (- (* -1 (/ (+ (/ b e) (/ d e)) c)) (/ 1 e))))
(* -1 (* c (- (* -1 (/ (+ (/ b e) (/ d e)) c)) (/ 1 e))))
(* -1 (* c (- (* -1 (/ (+ (/ b e) (/ d e)) c)) (/ 1 e))))
c
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
c
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b (+ d e))) c)) 1)))
c
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ b (+ d e)) c)) 1)))
(/ c d)
(* -1 (* c (- (* -1 (/ (+ (/ b d) (/ e d)) c)) (/ 1 d))))
(* -1 (* c (- (* -1 (/ (+ (/ b d) (/ e d)) c)) (/ 1 d))))
(* -1 (* c (- (* -1 (/ (+ (/ b d) (/ e d)) c)) (/ 1 d))))
c
(* -1 (* c (- (* -1 (/ (+ a b) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a b) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a b) c)) 1)))
(/ c d)
(* -1 (* c (- (* -1 (/ (+ (/ a d) (/ b d)) c)) (/ 1 d))))
(* -1 (* c (- (* -1 (/ (+ (/ a d) (/ b d)) c)) (/ 1 d))))
(* -1 (* c (- (* -1 (/ (+ (/ a d) (/ b d)) c)) (/ 1 d))))
c
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
c
(* -1 (* c (- (* -1 (/ (+ b e) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ b e) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ b e) c)) 1)))
(+ a (+ c (+ d e)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ e (* d (+ 1 (+ (/ a d) (/ c d)))))
(+ b (+ e (* d (+ 1 (+ (/ a d) (/ c d))))))
(+ b (+ e (* d (+ 1 (+ (/ a d) (/ c d))))))
(+ b (+ e (* d (+ 1 (+ (/ a d) (/ c d))))))
(+ 1 (+ (/ a d) (/ c d)))
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))
(+ 1 (+ (/ a d) (/ c d)))
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))
(+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))
(+ a (+ c (+ d e)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ c (+ d e))
(+ b (+ c (+ d e)))
(+ b (+ c (+ d e)))
(+ b (+ c (+ d e)))
(+ a (+ c (+ d e)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ c (+ d e)))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(+ a (+ b (+ c (+ d e))))
(/ (+ a (+ c d)) e)
(+ (/ a e) (+ (/ b e) (+ (/ c e) (/ d e))))
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1
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Outputs
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rewrite182.0ms (2.9%)

Memory
24.6MiB live, 210.0MiB allocated
Rules
6 640×lower-*.f64
6 640×lower-*.f32
4 016×lower-/.f64
4 016×lower-/.f32
2 502×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049613170
049612594
1387312558
0915312516
Stop Event
iter limit
node limit
saturated
Counts
24 → 121
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e))
(fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e)
#s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64)))
(+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c)))
#s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c))
(+.f64 (+.f64 e d) c)
(+.f64 e d)
(fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) e e)
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) e e))
(/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e)
(+.f64 (+.f64 (+.f64 c d) b) a)
(fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e)
(+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e)) a)
#s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e))
(/.f64 (+.f64 (+.f64 c d) b) e)
(fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)
(+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)) a)
#s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d))
(/.f64 (+.f64 (+.f64 c e) b) d)
(+.f64 (+.f64 c b) a)
(/.f64 (+.f64 (+.f64 c b) a) d)
(+.f64 (+.f64 c d) b)
(+.f64 (+.f64 c e) b)
Outputs
#<batchref>
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eval557.0ms (8.9%)

Memory
-31.1MiB live, 220.9MiB allocated
Compiler

Compiled 18 199 to 1 372 computations (92.5% saved)

prune132.0ms (2.1%)

Memory
-15.5MiB live, 145.3MiB allocated
Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New1 18401 184
Fresh000
Picked055
Done044
Total1 18491 193
Accuracy
100.0%
Counts
1 193 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.4%
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
99.4%
(+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)) a)
99.5%
(+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e)) a)
99.4%
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) b b))
99.6%
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) e e))
99.7%
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e))
25.7%
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) c) b))
23.2%
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c)))
21.1%
#s(approx (+ e d) (+.f64 d e))
Compiler

Compiled 237 to 153 computations (35.4% saved)

regimes52.0ms (0.8%)

Memory
10.1MiB live, 127.3MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (+ e d) (+.f64 d e))
#s(approx (+ (+ e d) c) (+.f64 (+.f64 d e) c))
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c)))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) c) b))
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e))
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) e e))
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c e) b) a) d) d d))
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) b) a) c) c c))
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) b b))
(+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e)) a)
(+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)) a)
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e))
Outputs
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e))
Calls

9 calls:

9.0ms
a
7.0ms
(+.f64 (+.f64 (+.f64 e d) c) b)
7.0ms
d
5.0ms
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
5.0ms
(+.f64 e d)
Results
AccuracySegmentsBranch
99.7%1a
99.7%1b
99.7%1c
99.7%1d
99.7%1e
99.7%1(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
99.7%1(+.f64 (+.f64 (+.f64 e d) c) b)
99.7%1(+.f64 (+.f64 e d) c)
99.7%1(+.f64 e d)
Compiler

Compiled 29 to 55 computations (-89.7% saved)

regimes234.0ms (3.7%)

Memory
20.9MiB live, 95.8MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (+ e d) (+.f64 d e))
#s(approx (+ (+ e d) c) (+.f64 (+.f64 d e) c))
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c)))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) c) b))
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e))
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c d) b) a) e) e e))
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 c e) b) a) d) d d))
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) b) a) c) c c))
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (/.f64 (+.f64 (+.f64 (+.f64 d e) c) a) b) b b))
(+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c d) b) e) e e)) a)
(+.f64 #s(approx (+ (+ (+ e d) c) b) (fma.f64 (/.f64 (+.f64 (+.f64 c e) b) d) d d)) a)
Outputs
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e))
Calls

9 calls:

196.0ms
d
7.0ms
(+.f64 (+.f64 e d) c)
5.0ms
(+.f64 e d)
5.0ms
(+.f64 (+.f64 (+.f64 e d) c) b)
4.0ms
b
Results
AccuracySegmentsBranch
99.7%1a
99.7%1b
99.7%1c
99.7%1d
99.7%1e
99.7%1(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
99.7%1(+.f64 (+.f64 (+.f64 e d) c) b)
99.7%1(+.f64 (+.f64 e d) c)
99.7%1(+.f64 e d)
Compiler

Compiled 29 to 55 computations (-89.7% saved)

regimes67.0ms (1.1%)

Memory
0.7MiB live, 39.5MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (+ e d) (+.f64 d e))
#s(approx (+ (+ e d) c) (+.f64 (+.f64 d e) c))
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c)))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) c) b))
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
Outputs
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
Calls

9 calls:

46.0ms
e
3.0ms
(+.f64 (+.f64 (+.f64 e d) c) b)
3.0ms
d
3.0ms
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
3.0ms
a
Results
AccuracySegmentsBranch
99.4%1a
99.4%1b
99.4%1c
99.4%1d
99.4%1e
99.4%1(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
99.4%1(+.f64 (+.f64 (+.f64 e d) c) b)
99.4%1(+.f64 (+.f64 e d) c)
99.4%1(+.f64 e d)
Compiler

Compiled 29 to 55 computations (-89.7% saved)

regimes24.0ms (0.4%)

Memory
-7.0MiB live, 38.1MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (+ e d) (+.f64 d e))
#s(approx (+ (+ e d) c) (+.f64 (+.f64 d e) c))
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c)))
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) c) b))
Outputs
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) c) b))
Calls

9 calls:

6.0ms
(+.f64 (+.f64 (+.f64 e d) c) b)
2.0ms
(+.f64 (+.f64 e d) c)
2.0ms
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
2.0ms
(+.f64 e d)
2.0ms
e
Results
AccuracySegmentsBranch
25.7%1a
25.7%1b
25.7%1c
25.7%1d
25.7%1e
25.7%1(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
25.7%1(+.f64 (+.f64 (+.f64 e d) c) b)
25.7%1(+.f64 (+.f64 e d) c)
25.7%1(+.f64 e d)
Compiler

Compiled 29 to 55 computations (-89.7% saved)

regimes21.0ms (0.3%)

Memory
-0.2MiB live, 37.3MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (+ e d) (+.f64 d e))
#s(approx (+ (+ e d) c) (+.f64 (+.f64 d e) c))
#s(approx (+ (+ (+ (+ e d) c) b) a) #s(approx (+ (+ (+ d e) c) b) (+.f64 (+.f64 e d) c)))
Outputs
#s(approx (+ (+ e d) c) (+.f64 (+.f64 d e) c))
Calls

9 calls:

5.0ms
c
2.0ms
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
2.0ms
(+.f64 (+.f64 e d) c)
2.0ms
(+.f64 (+.f64 (+.f64 e d) c) b)
2.0ms
a
Results
AccuracySegmentsBranch
23.2%1b
23.2%1e
23.2%1(+.f64 e d)
23.2%1a
23.2%1c
23.2%1d
23.2%1(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
23.2%1(+.f64 (+.f64 (+.f64 e d) c) b)
23.2%1(+.f64 (+.f64 e d) c)
Compiler

Compiled 29 to 55 computations (-89.7% saved)

regimes14.0ms (0.2%)

Memory
-12.3MiB live, 25.9MiB allocated
Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ e d) (+.f64 d e))
Outputs
#s(approx (+ e d) (+.f64 d e))
Calls

9 calls:

3.0ms
(+.f64 (+.f64 e d) c)
1.0ms
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
1.0ms
(+.f64 (+.f64 (+.f64 e d) c) b)
1.0ms
(+.f64 e d)
1.0ms
e
Results
AccuracySegmentsBranch
21.1%1e
21.1%1(+.f64 (+.f64 e d) c)
21.1%1(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
21.1%1(+.f64 (+.f64 (+.f64 e d) c) b)
21.1%1(+.f64 e d)
21.1%1b
21.1%1d
21.1%1a
21.1%1c
Compiler

Compiled 29 to 55 computations (-89.7% saved)

simplify24.0ms (0.4%)

Memory
11.8MiB live, 48.5MiB allocated
Algorithm
egg-herbie
Rules
22×+-commutative-binary64-+.f64
1-exp-binary32-exp.f32
1-exp-binary64-exp.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041106
156106
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 (+.f64 (+.f64 (+.f64 (/.f64 a d) #s(literal 1 binary64)) (/.f64 b d)) (/.f64 c d)) d e))
#s(approx (+ (+ (+ (+ e d) c) b) a) (fma.f64 #s(approx (+ (+ (+ (/ a d) 1) (/ b d)) (/ c d)) (+.f64 (/.f64 (+.f64 (+.f64 c b) a) d) #s(literal 1 binary64))) d e))
(+.f64 (+.f64 (+.f64 (+.f64 e d) c) b) a)
#s(approx (+ (+ (+ (+ e d) c) b) a) (+.f64 (+.f64 (+.f64 d e) c) b))
#s(approx (+ (+ e d) c) (+.f64 (+.f64 d e) c))
#s(approx (+ e d) (+.f64 d e))
Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

soundness91.0ms (1.5%)

Memory
-25.8MiB live, 38.4MiB allocated
Rules
4 812×lower-/.f64
4 812×lower-/.f32
4 764×lower-*.f64
4 764×lower-*.f32
2 988×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01511600
01511516
111841516
081721516
Stop Event
iter limit
node limit
saturated

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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