Expression, p6

Time bar (total: 4.8s)

analyze0.0ms (0%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
100%0%0%100%0%0%0%1
Compiler

Compiled 44 to 32 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
Operation ival-add, time spent: 0.0ms, 0.0% of total-time
Operation ival-and, time spent: 0.0ms, 0.0% of total-time
Operation ival-mult, time spent: 0.0ms, 0.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time
Operation ival-<=, time spent: 0.0ms, 0.0% of total-time

sample3.0s (62%)

Results
2.7s8255×256valid
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 1.5s
Operation ival-<=, time spent: 899.0ms, 60.0% of total-time
Operation ival-add, time spent: 421.0ms, 28.0% of total-time
Operation ival-mult, time spent: 68.0ms, 5.0% of total-time
Operation ival-and, time spent: 67.0ms, 4.0% of total-time
Operation const, time spent: 44.0ms, 3.0% of total-time
Bogosity

preprocess236.0ms (4.9%)

Algorithm
1×egg-herbie
Rules
1606×fma-define
1512×distribute-rgt-in
1432×distribute-lft-in
1392×unsub-neg
1046×associate--r+
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
9414(-13.7915277813334 -2.633949203246463 3.3156443263915762 13.198537756706592)54(-13.331887055272869 -2.308843141786238 3.0756226613891484 12.944940009988446)(+.f64 a (+.f64 b (+.f64 c d)))
00-0-2
00-0-a
00-0-d
00-0-(+.f64 c d)
00-0-(+.f64 b (+.f64 c d))
00-0-c
00-0-b
00-0-(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 a (+.f64 b (+.f64 c d)))cancellation5487
Confusion
Predicted +Predicted -
+4991
-5111
Precision
0.9074074074074074
Recall
0.35
Confusion?
Predicted +Predicted MaybePredicted -
+496526
-52289
Precision?
0.8085106382978723
Recall?
0.8142857142857143
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061616
1159592
2465592
32135592
46380592
57507592
67923592
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 (neg.f64 a) (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 a (+.f64 (neg.f64 b) (+.f64 c d))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 (neg.f64 c) d))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c (neg.f64 d)))) 2)
(neg.f64 (*.f64 (+.f64 (neg.f64 a) (+.f64 b (+.f64 c d))) 2))
(neg.f64 (*.f64 (+.f64 a (+.f64 (neg.f64 b) (+.f64 c d))) 2))
(neg.f64 (*.f64 (+.f64 a (+.f64 b (+.f64 (neg.f64 c) d))) 2))
(neg.f64 (*.f64 (+.f64 a (+.f64 b (+.f64 c (neg.f64 d)))) 2))
(*.f64 (+.f64 b (+.f64 a (+.f64 c d))) 2)
(*.f64 (+.f64 c (+.f64 b (+.f64 a d))) 2)
(*.f64 (+.f64 d (+.f64 b (+.f64 c a))) 2)
(*.f64 (+.f64 a (+.f64 c (+.f64 b d))) 2)
(*.f64 (+.f64 a (+.f64 d (+.f64 c b))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 d c))) 2)
Outputs
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 a (+.f64 c (+.f64 b d))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 a (+.f64 c (+.f64 b d))) 2)
(*.f64 (+.f64 (neg.f64 a) (+.f64 b (+.f64 c d))) 2)
(*.f64 2 (+.f64 (+.f64 (neg.f64 a) b) (+.f64 c d)))
(*.f64 2 (-.f64 (+.f64 b (+.f64 c d)) a))
(*.f64 2 (+.f64 c (-.f64 (+.f64 b d) a)))
(*.f64 (-.f64 a (+.f64 c (+.f64 b d))) -2)
(*.f64 (+.f64 a (+.f64 (neg.f64 b) (+.f64 c d))) 2)
(*.f64 2 (+.f64 a (+.f64 (+.f64 c d) (neg.f64 b))))
(*.f64 2 (+.f64 a (-.f64 (+.f64 c d) b)))
(*.f64 2 (+.f64 c (+.f64 a (-.f64 d b))))
(*.f64 (+.f64 a (+.f64 b (+.f64 (neg.f64 c) d))) 2)
(*.f64 2 (+.f64 a (+.f64 b (+.f64 d (neg.f64 c)))))
(*.f64 2 (+.f64 a (+.f64 b (-.f64 d c))))
(*.f64 2 (+.f64 a (+.f64 d (-.f64 b c))))
(*.f64 (+.f64 a (+.f64 b (+.f64 c (neg.f64 d)))) 2)
(*.f64 2 (+.f64 a (+.f64 b (-.f64 c d))))
(*.f64 2 (+.f64 a (+.f64 c (-.f64 b d))))
(*.f64 -2 (-.f64 d (+.f64 a (+.f64 b c))))
(*.f64 (-.f64 d (+.f64 a (+.f64 b c))) -2)
(neg.f64 (*.f64 (+.f64 (neg.f64 a) (+.f64 b (+.f64 c d))) 2))
(*.f64 (+.f64 (+.f64 (neg.f64 a) b) (+.f64 c d)) -2)
(*.f64 (-.f64 (+.f64 b (+.f64 c d)) a) -2)
(*.f64 2 (-.f64 a (+.f64 c (+.f64 b d))))
(neg.f64 (*.f64 (+.f64 a (+.f64 (neg.f64 b) (+.f64 c d))) 2))
(*.f64 (+.f64 a (+.f64 (+.f64 c d) (neg.f64 b))) -2)
(*.f64 (+.f64 a (-.f64 (+.f64 c d) b)) -2)
(*.f64 2 (-.f64 (-.f64 b c) (+.f64 a d)))
(neg.f64 (*.f64 (+.f64 a (+.f64 b (+.f64 (neg.f64 c) d))) 2))
(*.f64 (+.f64 a (+.f64 b (+.f64 d (neg.f64 c)))) -2)
(*.f64 (+.f64 a (+.f64 b (-.f64 d c))) -2)
(*.f64 2 (-.f64 (-.f64 c d) (+.f64 a b)))
(*.f64 2 (-.f64 c (+.f64 a (+.f64 b d))))
(neg.f64 (*.f64 (+.f64 a (+.f64 b (+.f64 c (neg.f64 d)))) 2))
(*.f64 (+.f64 a (+.f64 b (-.f64 c d))) -2)
(*.f64 (+.f64 a (+.f64 c (-.f64 b d))) -2)
(*.f64 2 (-.f64 d (+.f64 a (+.f64 b c))))
(*.f64 (+.f64 b (+.f64 a (+.f64 c d))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 a (+.f64 c (+.f64 b d))) 2)
(*.f64 (+.f64 c (+.f64 b (+.f64 a d))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 a (+.f64 c (+.f64 b d))) 2)
(*.f64 (+.f64 d (+.f64 b (+.f64 c a))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 a (+.f64 c (+.f64 b d))) 2)
(*.f64 (+.f64 a (+.f64 c (+.f64 b d))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 a (+.f64 d (+.f64 c b))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 a (+.f64 c (+.f64 b d))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 d c))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 a (+.f64 c (+.f64 b d))) 2)
Symmetry

(sort a b c d)

Compiler

Compiled 94 to 40 computations (57.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
Operation ival-add, time spent: 8.0ms, 49.0% of total-time
Operation ival-mult, time spent: 7.0ms, 43.0% of total-time
Operation const, time spent: 1.0ms, 6.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 13 to 9 computations (30.8% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶95.1%
(*.f64 (+.f64 a (+.f64 c (+.f64 b d))) 2)
▶94.0%
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
Compiler

Compiled 26 to 18 computations (30.8% saved)

localize59.0ms (1.2%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
✓99.7%
(+.f64 c (+.f64 b d))
✓95.6%
(+.f64 a (+.f64 c (+.f64 b d)))
✓99.4%
(+.f64 b (+.f64 c d))
✓95.6%
(+.f64 a (+.f64 b (+.f64 c d)))
Compiler

Compiled 63 to 17 computations (73% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
Operation ival-add, time spent: 7.0ms, 60.0% of total-time
Operation ival-mult, time spent: 4.0ms, 34.0% of total-time
Operation const, time spent: 1.0ms, 9.0% of total-time

series11.0ms (0.2%)

Counts
4 → 147
Calls
Call 1
Inputs
#<alt (+.f64 a (+.f64 b (+.f64 c d)))>
#<alt (+.f64 b (+.f64 c d))>
#<alt (+.f64 a (+.f64 c (+.f64 b d)))>
#<alt (+.f64 c (+.f64 b d))>
Outputs
#<alt (+.f64 b (+.f64 c d))>
#<alt a>
#<alt (*.f64 a (+.f64 1 (+.f64 (/.f64 b a) (+.f64 (/.f64 c a) (/.f64 d a)))))>
#<alt (*.f64 a (+.f64 1 (+.f64 (/.f64 b a) (+.f64 (/.f64 c a) (/.f64 d a)))))>
#<alt (*.f64 a (+.f64 1 (+.f64 (/.f64 b a) (+.f64 (/.f64 c a) (/.f64 d a)))))>
#<alt a>
#<alt (*.f64 -1 (*.f64 a (-.f64 (*.f64 -1 (/.f64 (+.f64 b (+.f64 c d)) a)) 1)))>
#<alt (*.f64 -1 (*.f64 a (-.f64 (*.f64 -1 (/.f64 (+.f64 b (+.f64 c d)) a)) 1)))>
#<alt (*.f64 -1 (*.f64 a (-.f64 (*.f64 -1 (/.f64 (+.f64 b (+.f64 c d)) a)) 1)))>
#<alt (+.f64 a (+.f64 c d))>
#<alt b>
#<alt (*.f64 b (+.f64 1 (+.f64 (/.f64 a b) (+.f64 (/.f64 c b) (/.f64 d b)))))>
#<alt (*.f64 b (+.f64 1 (+.f64 (/.f64 a b) (+.f64 (/.f64 c b) (/.f64 d b)))))>
#<alt (*.f64 b (+.f64 1 (+.f64 (/.f64 a b) (+.f64 (/.f64 c b) (/.f64 d b)))))>
#<alt b>
#<alt (*.f64 -1 (*.f64 b (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 c d)) b)) 1)))>
#<alt (*.f64 -1 (*.f64 b (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 c d)) b)) 1)))>
#<alt (*.f64 -1 (*.f64 b (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 c d)) b)) 1)))>
#<alt (+.f64 a (+.f64 b d))>
#<alt c>
#<alt (*.f64 c (+.f64 1 (+.f64 (/.f64 a c) (+.f64 (/.f64 b c) (/.f64 d c)))))>
#<alt (*.f64 c (+.f64 1 (+.f64 (/.f64 a c) (+.f64 (/.f64 b c) (/.f64 d c)))))>
#<alt (*.f64 c (+.f64 1 (+.f64 (/.f64 a c) (+.f64 (/.f64 b c) (/.f64 d c)))))>
#<alt c>
#<alt (*.f64 -1 (*.f64 c (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 b d)) c)) 1)))>
#<alt (*.f64 -1 (*.f64 c (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 b d)) c)) 1)))>
#<alt (*.f64 -1 (*.f64 c (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 b d)) c)) 1)))>
#<alt (+.f64 a (+.f64 b c))>
#<alt d>
#<alt (*.f64 d (+.f64 1 (+.f64 (/.f64 a d) (+.f64 (/.f64 b d) (/.f64 c d)))))>
#<alt (*.f64 d (+.f64 1 (+.f64 (/.f64 a d) (+.f64 (/.f64 b d) (/.f64 c d)))))>
#<alt (*.f64 d (+.f64 1 (+.f64 (/.f64 a d) (+.f64 (/.f64 b d) (/.f64 c d)))))>
#<alt d>
#<alt (*.f64 -1 (*.f64 d (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 b c)) d)) 1)))>
#<alt (*.f64 -1 (*.f64 d (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 b c)) d)) 1)))>
#<alt (*.f64 -1 (*.f64 d (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 b c)) d)) 1)))>
#<alt (+.f64 c d)>
#<alt b>
#<alt (*.f64 b (+.f64 1 (+.f64 (/.f64 c b) (/.f64 d b))))>
#<alt (*.f64 b (+.f64 1 (+.f64 (/.f64 c b) (/.f64 d b))))>
#<alt (*.f64 b (+.f64 1 (+.f64 (/.f64 c b) (/.f64 d b))))>
#<alt b>
#<alt (*.f64 -1 (*.f64 b (-.f64 (*.f64 -1 (/.f64 (+.f64 c d) b)) 1)))>
#<alt (*.f64 -1 (*.f64 b (-.f64 (*.f64 -1 (/.f64 (+.f64 c d) b)) 1)))>
#<alt (*.f64 -1 (*.f64 b (-.f64 (*.f64 -1 (/.f64 (+.f64 c d) b)) 1)))>
#<alt (+.f64 b d)>
#<alt c>
#<alt (*.f64 c (+.f64 1 (+.f64 (/.f64 b c) (/.f64 d c))))>
#<alt (*.f64 c (+.f64 1 (+.f64 (/.f64 b c) (/.f64 d c))))>
#<alt (*.f64 c (+.f64 1 (+.f64 (/.f64 b c) (/.f64 d c))))>
#<alt c>
#<alt (*.f64 -1 (*.f64 c (-.f64 (*.f64 -1 (/.f64 (+.f64 b d) c)) 1)))>
#<alt (*.f64 -1 (*.f64 c (-.f64 (*.f64 -1 (/.f64 (+.f64 b d) c)) 1)))>
#<alt (*.f64 -1 (*.f64 c (-.f64 (*.f64 -1 (/.f64 (+.f64 b d) c)) 1)))>
#<alt (+.f64 b c)>
#<alt d>
#<alt (*.f64 d (+.f64 1 (+.f64 (/.f64 b d) (/.f64 c d))))>
#<alt (*.f64 d (+.f64 1 (+.f64 (/.f64 b d) (/.f64 c d))))>
#<alt (*.f64 d (+.f64 1 (+.f64 (/.f64 b d) (/.f64 c d))))>
#<alt d>
#<alt (*.f64 -1 (*.f64 d (-.f64 (*.f64 -1 (/.f64 (+.f64 b c) d)) 1)))>
#<alt (*.f64 -1 (*.f64 d (-.f64 (*.f64 -1 (/.f64 (+.f64 b c) d)) 1)))>
#<alt (*.f64 -1 (*.f64 d (-.f64 (*.f64 -1 (/.f64 (+.f64 b c) d)) 1)))>
#<alt (+.f64 b (+.f64 c d))>
#<alt (+.f64 a (+.f64 b (+.f64 c d)))>
#<alt (+.f64 a (+.f64 b (+.f64 c d)))>
#<alt (+.f64 a (+.f64 b (+.f64 c d)))>
#<alt a>
#<alt (*.f64 a (+.f64 1 (+.f64 (/.f64 b a) (+.f64 (/.f64 c a) (/.f64 d a)))))>
#<alt (*.f64 a (+.f64 1 (+.f64 (/.f64 b a) (+.f64 (/.f64 c a) (/.f64 d a)))))>
#<alt (*.f64 a (+.f64 1 (+.f64 (/.f64 b a) (+.f64 (/.f64 c a) (/.f64 d a)))))>
#<alt a>
#<alt (*.f64 -1 (*.f64 a (-.f64 (*.f64 -1 (/.f64 (+.f64 b (+.f64 c d)) a)) 1)))>
#<alt (*.f64 -1 (*.f64 a (-.f64 (*.f64 -1 (/.f64 (+.f64 b (+.f64 c d)) a)) 1)))>
#<alt (*.f64 -1 (*.f64 a (-.f64 (*.f64 -1 (/.f64 (+.f64 b (+.f64 c d)) a)) 1)))>
#<alt (+.f64 a (+.f64 b d))>
#<alt (+.f64 a (+.f64 b (+.f64 c d)))>
#<alt (+.f64 a (+.f64 b (+.f64 c d)))>
#<alt (+.f64 a (+.f64 b (+.f64 c d)))>
#<alt c>
#<alt (*.f64 c (+.f64 1 (+.f64 (/.f64 a c) (+.f64 (/.f64 b c) (/.f64 d c)))))>
#<alt (*.f64 c (+.f64 1 (+.f64 (/.f64 a c) (+.f64 (/.f64 b c) (/.f64 d c)))))>
#<alt (*.f64 c (+.f64 1 (+.f64 (/.f64 a c) (+.f64 (/.f64 b c) (/.f64 d c)))))>
#<alt c>
#<alt (*.f64 -1 (*.f64 c (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 b d)) c)) 1)))>
#<alt (*.f64 -1 (*.f64 c (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 b d)) c)) 1)))>
#<alt (*.f64 -1 (*.f64 c (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 b d)) c)) 1)))>
#<alt (+.f64 a (+.f64 c d))>
#<alt (+.f64 a (+.f64 b (+.f64 c d)))>
#<alt (+.f64 a (+.f64 b (+.f64 c d)))>
#<alt (+.f64 a (+.f64 b (+.f64 c d)))>
#<alt b>
#<alt (*.f64 b (+.f64 1 (+.f64 (/.f64 a b) (+.f64 (/.f64 c b) (/.f64 d b)))))>
#<alt (*.f64 b (+.f64 1 (+.f64 (/.f64 a b) (+.f64 (/.f64 c b) (/.f64 d b)))))>
#<alt (*.f64 b (+.f64 1 (+.f64 (/.f64 a b) (+.f64 (/.f64 c b) (/.f64 d b)))))>
#<alt b>
#<alt (*.f64 -1 (*.f64 b (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 c d)) b)) 1)))>
#<alt (*.f64 -1 (*.f64 b (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 c d)) b)) 1)))>
#<alt (*.f64 -1 (*.f64 b (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 c d)) b)) 1)))>
#<alt (+.f64 a (+.f64 b c))>
#<alt (+.f64 a (+.f64 b (+.f64 c d)))>
#<alt (+.f64 a (+.f64 b (+.f64 c d)))>
#<alt (+.f64 a (+.f64 b (+.f64 c d)))>
#<alt d>
#<alt (*.f64 d (+.f64 1 (+.f64 (/.f64 a d) (+.f64 (/.f64 b d) (/.f64 c d)))))>
#<alt (*.f64 d (+.f64 1 (+.f64 (/.f64 a d) (+.f64 (/.f64 b d) (/.f64 c d)))))>
#<alt (*.f64 d (+.f64 1 (+.f64 (/.f64 a d) (+.f64 (/.f64 b d) (/.f64 c d)))))>
#<alt d>
#<alt (*.f64 -1 (*.f64 d (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 b c)) d)) 1)))>
#<alt (*.f64 -1 (*.f64 d (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 b c)) d)) 1)))>
#<alt (*.f64 -1 (*.f64 d (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 b c)) d)) 1)))>
#<alt (+.f64 b d)>
#<alt (+.f64 b (+.f64 c d))>
#<alt (+.f64 b (+.f64 c d))>
#<alt (+.f64 b (+.f64 c d))>
#<alt c>
#<alt (*.f64 c (+.f64 1 (+.f64 (/.f64 b c) (/.f64 d c))))>
#<alt (*.f64 c (+.f64 1 (+.f64 (/.f64 b c) (/.f64 d c))))>
#<alt (*.f64 c (+.f64 1 (+.f64 (/.f64 b c) (/.f64 d c))))>
#<alt c>
#<alt (*.f64 -1 (*.f64 c (-.f64 (*.f64 -1 (/.f64 (+.f64 b d) c)) 1)))>
#<alt (*.f64 -1 (*.f64 c (-.f64 (*.f64 -1 (/.f64 (+.f64 b d) c)) 1)))>
#<alt (*.f64 -1 (*.f64 c (-.f64 (*.f64 -1 (/.f64 (+.f64 b d) c)) 1)))>
#<alt (+.f64 c d)>
#<alt (+.f64 b (+.f64 c d))>
#<alt (+.f64 b (+.f64 c d))>
#<alt (+.f64 b (+.f64 c d))>
#<alt b>
#<alt (*.f64 b (+.f64 1 (+.f64 (/.f64 c b) (/.f64 d b))))>
#<alt (*.f64 b (+.f64 1 (+.f64 (/.f64 c b) (/.f64 d b))))>
#<alt (*.f64 b (+.f64 1 (+.f64 (/.f64 c b) (/.f64 d b))))>
#<alt b>
#<alt (*.f64 -1 (*.f64 b (-.f64 (*.f64 -1 (/.f64 (+.f64 c d) b)) 1)))>
#<alt (*.f64 -1 (*.f64 b (-.f64 (*.f64 -1 (/.f64 (+.f64 c d) b)) 1)))>
#<alt (*.f64 -1 (*.f64 b (-.f64 (*.f64 -1 (/.f64 (+.f64 c d) b)) 1)))>
#<alt (+.f64 b c)>
#<alt (+.f64 b (+.f64 c d))>
#<alt (+.f64 b (+.f64 c d))>
#<alt (+.f64 b (+.f64 c d))>
#<alt d>
#<alt (*.f64 d (+.f64 1 (+.f64 (/.f64 b d) (/.f64 c d))))>
#<alt (*.f64 d (+.f64 1 (+.f64 (/.f64 b d) (/.f64 c d))))>
#<alt (*.f64 d (+.f64 1 (+.f64 (/.f64 b d) (/.f64 c d))))>
#<alt d>
#<alt (*.f64 -1 (*.f64 d (-.f64 (*.f64 -1 (/.f64 (+.f64 b c) d)) 1)))>
#<alt (*.f64 -1 (*.f64 d (-.f64 (*.f64 -1 (/.f64 (+.f64 b c) d)) 1)))>
#<alt (*.f64 -1 (*.f64 d (-.f64 (*.f64 -1 (/.f64 (+.f64 b c) d)) 1)))>
Calls

42 calls:

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

rewrite250.0ms (5.2%)

Algorithm
1×batch-egg-rewrite
Rules
996×log1p-expm1-u
878×expm1-log1p-u
152×associate-*r*
138×add-cube-cbrt
134×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017106
1270106
24844106
Stop Event
1×node limit
Counts
4 → 186
Calls
Call 1
Inputs
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 b (+.f64 c d))
(+.f64 a (+.f64 c (+.f64 b d)))
(+.f64 c (+.f64 b d))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 b d) (+.f64 a c)))) 1)
(-.f64 (/.f64 (pow.f64 a 2) (-.f64 (-.f64 a (+.f64 b c)) d)) (/.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (-.f64 (-.f64 a (+.f64 b c)) d)))
(*.f64 (+.f64 (+.f64 b d) (+.f64 a c)) 1)
(*.f64 1 (+.f64 (+.f64 b d) (+.f64 a c)))
(*.f64 (cbrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) 2) (cbrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) (sqrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(*.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 a a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a)))))
(*.f64 (-.f64 (pow.f64 a 2) (pow.f64 (+.f64 b (+.f64 c d)) 2)) (/.f64 1 (-.f64 (-.f64 a (+.f64 b c)) d)))
(/.f64 1 (/.f64 (fma.f64 a a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a))) (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 a (+.f64 b c)) d) (-.f64 (pow.f64 a 2) (pow.f64 (+.f64 b (+.f64 c d)) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3)) (fma.f64 a a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a))))
(/.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3)) (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (-.f64 (pow.f64 a 2) (*.f64 a (+.f64 b (+.f64 c d))))))
(/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (+.f64 b (+.f64 c d)) 2)) (-.f64 (-.f64 a (+.f64 b c)) d))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3))) (neg.f64 (fma.f64 a a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a 2) (pow.f64 (+.f64 b (+.f64 c d)) 2))) (neg.f64 (-.f64 (-.f64 a (+.f64 b c)) d)))
(/.f64 (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 (+.f64 b d) 3)) (+.f64 (*.f64 (+.f64 a c) (+.f64 a c)) (-.f64 (pow.f64 (+.f64 b d) 2) (*.f64 (+.f64 a c) (+.f64 b d)))))
(/.f64 (+.f64 (pow.f64 (+.f64 a b) 3) (pow.f64 (+.f64 c d) 3)) (+.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (-.f64 (pow.f64 (+.f64 c d) 2) (*.f64 (+.f64 a b) (+.f64 c d)))))
(/.f64 (-.f64 (*.f64 (+.f64 a c) (+.f64 a c)) (pow.f64 (+.f64 b d) 2)) (-.f64 (+.f64 a c) (+.f64 b d)))
(/.f64 (-.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (pow.f64 a 2)) (-.f64 (+.f64 b (+.f64 c d)) a))
(/.f64 (-.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (pow.f64 (+.f64 c d) 2)) (-.f64 (+.f64 a b) (+.f64 c d)))
(pow.f64 (+.f64 (+.f64 b d) (+.f64 a c)) 1)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) 3)
(pow.f64 (pow.f64 (+.f64 (+.f64 b d) (+.f64 a c)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) 2)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 b d) (+.f64 a c)) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 b d) (+.f64 a c)))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 b d) (+.f64 a c)) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(exp.f64 (log.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 b d) (+.f64 a c))) 1))
(fma.f64 1 a (+.f64 b (+.f64 c d)))
(fma.f64 1 (+.f64 b (+.f64 c d)) a)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2) (cbrt.f64 (+.f64 b (+.f64 c d))) a)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 b (+.f64 c d)))
(fma.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) (sqrt.f64 (+.f64 b (+.f64 c d))) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 b (+.f64 c d)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 b (+.f64 c d)))) 1)
(-.f64 (/.f64 (pow.f64 c 2) (-.f64 (-.f64 c d) b)) (/.f64 (pow.f64 (+.f64 b d) 2) (-.f64 (-.f64 c d) b)))
(-.f64 (/.f64 (pow.f64 b 2) (-.f64 (-.f64 b d) c)) (/.f64 (pow.f64 (+.f64 c d) 2) (-.f64 (-.f64 b d) c)))
(*.f64 (+.f64 b (+.f64 c d)) 1)
(*.f64 1 (+.f64 b (+.f64 c d)))
(*.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2) (cbrt.f64 (+.f64 b (+.f64 c d))))
(*.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) (sqrt.f64 (+.f64 b (+.f64 c d))))
(*.f64 (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 c 3)) (/.f64 1 (fma.f64 c c (*.f64 (+.f64 b d) (-.f64 (+.f64 b d) c)))))
(*.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3)) (/.f64 1 (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b)))))
(*.f64 (-.f64 (pow.f64 c 2) (pow.f64 (+.f64 b d) 2)) (/.f64 1 (-.f64 (-.f64 c d) b)))
(*.f64 (-.f64 (pow.f64 b 2) (pow.f64 (+.f64 c d) 2)) (/.f64 1 (-.f64 (-.f64 b d) c)))
(/.f64 1 (/.f64 (fma.f64 c c (*.f64 (+.f64 b d) (-.f64 (+.f64 b d) c))) (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 c 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 c d) b) (-.f64 (pow.f64 c 2) (pow.f64 (+.f64 b d) 2))))
(/.f64 1 (/.f64 (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b))) (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 b d) c) (-.f64 (pow.f64 b 2) (pow.f64 (+.f64 c d) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 c 3)) (fma.f64 c c (*.f64 (+.f64 b d) (-.f64 (+.f64 b d) c))))
(/.f64 (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 c 3)) (+.f64 (pow.f64 (+.f64 b d) 2) (-.f64 (pow.f64 c 2) (*.f64 c (+.f64 b d)))))
(/.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3)) (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b))))
(/.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3)) (+.f64 (pow.f64 (+.f64 c d) 2) (-.f64 (pow.f64 b 2) (*.f64 b (+.f64 c d)))))
(/.f64 (-.f64 (pow.f64 c 2) (pow.f64 (+.f64 b d) 2)) (-.f64 (-.f64 c d) b))
(/.f64 (-.f64 (pow.f64 b 2) (pow.f64 (+.f64 c d) 2)) (-.f64 (-.f64 b d) c))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 c 3))) (neg.f64 (fma.f64 c c (*.f64 (+.f64 b d) (-.f64 (+.f64 b d) c)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 c 2) (pow.f64 (+.f64 b d) 2))) (neg.f64 (-.f64 (-.f64 c d) b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3))) (neg.f64 (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b 2) (pow.f64 (+.f64 c d) 2))) (neg.f64 (-.f64 (-.f64 b d) c)))
(/.f64 (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3)) (+.f64 (*.f64 (+.f64 b c) (+.f64 b c)) (-.f64 (pow.f64 d 2) (*.f64 (+.f64 b c) d))))
(/.f64 (-.f64 (pow.f64 (+.f64 b d) 2) (pow.f64 c 2)) (-.f64 (+.f64 b d) c))
(/.f64 (-.f64 (*.f64 (+.f64 b c) (+.f64 b c)) (pow.f64 d 2)) (-.f64 (+.f64 b c) d))
(/.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 b 2)) (-.f64 (+.f64 c d) b))
(pow.f64 (+.f64 b (+.f64 c d)) 1)
(pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 3)
(pow.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) 2)
(sqrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2))
(log.f64 (exp.f64 (+.f64 b (+.f64 c d))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 b (+.f64 c d)))))
(cbrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3))
(expm1.f64 (log1p.f64 (+.f64 b (+.f64 c d))))
(log1p.f64 (expm1.f64 (+.f64 b (+.f64 c d))))
(exp.f64 (log.f64 (+.f64 b (+.f64 c d))))
(exp.f64 (*.f64 (log.f64 (+.f64 b (+.f64 c d))) 1))
(fma.f64 1 b (+.f64 c d))
(fma.f64 1 c (+.f64 b d))
(fma.f64 1 (+.f64 c d) b)
(fma.f64 1 (+.f64 b d) c)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b d)) 2) (cbrt.f64 (+.f64 b d)) c)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 c d)) 2) (cbrt.f64 (+.f64 c d)) b)
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c) (+.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 c d))
(fma.f64 (sqrt.f64 (+.f64 b d)) (sqrt.f64 (+.f64 b d)) c)
(fma.f64 (sqrt.f64 (+.f64 c d)) (sqrt.f64 (+.f64 c d)) b)
(fma.f64 (sqrt.f64 c) (sqrt.f64 c) (+.f64 b d))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 c d))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 b d) (+.f64 a c)))) 1)
(-.f64 (/.f64 (pow.f64 a 2) (-.f64 (-.f64 a (+.f64 b c)) d)) (/.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (-.f64 (-.f64 a (+.f64 b c)) d)))
(*.f64 (+.f64 (+.f64 b d) (+.f64 a c)) 1)
(*.f64 1 (+.f64 (+.f64 b d) (+.f64 a c)))
(*.f64 (cbrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) 2) (cbrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) (sqrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(*.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 a a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a)))))
(*.f64 (-.f64 (pow.f64 a 2) (pow.f64 (+.f64 b (+.f64 c d)) 2)) (/.f64 1 (-.f64 (-.f64 a (+.f64 b c)) d)))
(/.f64 1 (/.f64 (fma.f64 a a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a))) (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 a (+.f64 b c)) d) (-.f64 (pow.f64 a 2) (pow.f64 (+.f64 b (+.f64 c d)) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3)) (fma.f64 a a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a))))
(/.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3)) (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (-.f64 (pow.f64 a 2) (*.f64 a (+.f64 b (+.f64 c d))))))
(/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (+.f64 b (+.f64 c d)) 2)) (-.f64 (-.f64 a (+.f64 b c)) d))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3))) (neg.f64 (fma.f64 a a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a 2) (pow.f64 (+.f64 b (+.f64 c d)) 2))) (neg.f64 (-.f64 (-.f64 a (+.f64 b c)) d)))
(/.f64 (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 (+.f64 b d) 3)) (+.f64 (*.f64 (+.f64 a c) (+.f64 a c)) (-.f64 (pow.f64 (+.f64 b d) 2) (*.f64 (+.f64 a c) (+.f64 b d)))))
(/.f64 (+.f64 (pow.f64 (+.f64 a b) 3) (pow.f64 (+.f64 c d) 3)) (+.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (-.f64 (pow.f64 (+.f64 c d) 2) (*.f64 (+.f64 a b) (+.f64 c d)))))
(/.f64 (-.f64 (*.f64 (+.f64 a c) (+.f64 a c)) (pow.f64 (+.f64 b d) 2)) (-.f64 (+.f64 a c) (+.f64 b d)))
(/.f64 (-.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (pow.f64 a 2)) (-.f64 (+.f64 b (+.f64 c d)) a))
(/.f64 (-.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (pow.f64 (+.f64 c d) 2)) (-.f64 (+.f64 a b) (+.f64 c d)))
(pow.f64 (+.f64 (+.f64 b d) (+.f64 a c)) 1)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) 3)
(pow.f64 (pow.f64 (+.f64 (+.f64 b d) (+.f64 a c)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) 2)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 b d) (+.f64 a c)) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 b d) (+.f64 a c)))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 b d) (+.f64 a c)) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(exp.f64 (log.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 b d) (+.f64 a c))) 1))
(fma.f64 1 a (+.f64 b (+.f64 c d)))
(fma.f64 1 (+.f64 b (+.f64 c d)) a)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2) (cbrt.f64 (+.f64 b (+.f64 c d))) a)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 b (+.f64 c d)))
(fma.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) (sqrt.f64 (+.f64 b (+.f64 c d))) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 b (+.f64 c d)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 b (+.f64 c d)))) 1)
(-.f64 (/.f64 (pow.f64 c 2) (-.f64 (-.f64 c d) b)) (/.f64 (pow.f64 (+.f64 b d) 2) (-.f64 (-.f64 c d) b)))
(-.f64 (/.f64 (pow.f64 b 2) (-.f64 (-.f64 b d) c)) (/.f64 (pow.f64 (+.f64 c d) 2) (-.f64 (-.f64 b d) c)))
(*.f64 (+.f64 b (+.f64 c d)) 1)
(*.f64 1 (+.f64 b (+.f64 c d)))
(*.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2) (cbrt.f64 (+.f64 b (+.f64 c d))))
(*.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) (sqrt.f64 (+.f64 b (+.f64 c d))))
(*.f64 (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 c 3)) (/.f64 1 (fma.f64 c c (*.f64 (+.f64 b d) (-.f64 (+.f64 b d) c)))))
(*.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3)) (/.f64 1 (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b)))))
(*.f64 (-.f64 (pow.f64 c 2) (pow.f64 (+.f64 b d) 2)) (/.f64 1 (-.f64 (-.f64 c d) b)))
(*.f64 (-.f64 (pow.f64 b 2) (pow.f64 (+.f64 c d) 2)) (/.f64 1 (-.f64 (-.f64 b d) c)))
(/.f64 1 (/.f64 (fma.f64 c c (*.f64 (+.f64 b d) (-.f64 (+.f64 b d) c))) (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 c 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 c d) b) (-.f64 (pow.f64 c 2) (pow.f64 (+.f64 b d) 2))))
(/.f64 1 (/.f64 (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b))) (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 b d) c) (-.f64 (pow.f64 b 2) (pow.f64 (+.f64 c d) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 c 3)) (fma.f64 c c (*.f64 (+.f64 b d) (-.f64 (+.f64 b d) c))))
(/.f64 (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 c 3)) (+.f64 (pow.f64 (+.f64 b d) 2) (-.f64 (pow.f64 c 2) (*.f64 c (+.f64 b d)))))
(/.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3)) (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b))))
(/.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3)) (+.f64 (pow.f64 (+.f64 c d) 2) (-.f64 (pow.f64 b 2) (*.f64 b (+.f64 c d)))))
(/.f64 (-.f64 (pow.f64 c 2) (pow.f64 (+.f64 b d) 2)) (-.f64 (-.f64 c d) b))
(/.f64 (-.f64 (pow.f64 b 2) (pow.f64 (+.f64 c d) 2)) (-.f64 (-.f64 b d) c))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 c 3))) (neg.f64 (fma.f64 c c (*.f64 (+.f64 b d) (-.f64 (+.f64 b d) c)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 c 2) (pow.f64 (+.f64 b d) 2))) (neg.f64 (-.f64 (-.f64 c d) b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3))) (neg.f64 (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b 2) (pow.f64 (+.f64 c d) 2))) (neg.f64 (-.f64 (-.f64 b d) c)))
(/.f64 (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3)) (+.f64 (*.f64 (+.f64 b c) (+.f64 b c)) (-.f64 (pow.f64 d 2) (*.f64 (+.f64 b c) d))))
(/.f64 (-.f64 (pow.f64 (+.f64 b d) 2) (pow.f64 c 2)) (-.f64 (+.f64 b d) c))
(/.f64 (-.f64 (*.f64 (+.f64 b c) (+.f64 b c)) (pow.f64 d 2)) (-.f64 (+.f64 b c) d))
(/.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 b 2)) (-.f64 (+.f64 c d) b))
(pow.f64 (+.f64 b (+.f64 c d)) 1)
(pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 3)
(pow.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) 2)
(sqrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2))
(log.f64 (exp.f64 (+.f64 b (+.f64 c d))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 b (+.f64 c d)))))
(cbrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3))
(expm1.f64 (log1p.f64 (+.f64 b (+.f64 c d))))
(log1p.f64 (expm1.f64 (+.f64 b (+.f64 c d))))
(exp.f64 (log.f64 (+.f64 b (+.f64 c d))))
(exp.f64 (*.f64 (log.f64 (+.f64 b (+.f64 c d))) 1))
(fma.f64 1 b (+.f64 c d))
(fma.f64 1 c (+.f64 b d))
(fma.f64 1 (+.f64 c d) b)
(fma.f64 1 (+.f64 b d) c)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b d)) 2) (cbrt.f64 (+.f64 b d)) c)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 c d)) 2) (cbrt.f64 (+.f64 c d)) b)
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c) (+.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 c d))
(fma.f64 (sqrt.f64 (+.f64 b d)) (sqrt.f64 (+.f64 b d)) c)
(fma.f64 (sqrt.f64 (+.f64 c d)) (sqrt.f64 (+.f64 c d)) b)
(fma.f64 (sqrt.f64 c) (sqrt.f64 c) (+.f64 b d))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 c d))

simplify159.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
1494×times-frac
1118×associate-+r+
1054×associate-+l+
756×cancel-sign-sub-inv
610×fma-neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032915112
188714896
2305214748
Stop Event
1×node limit
Counts
333 → 187
Calls
Call 1
Inputs
(+.f64 b (+.f64 c d))
a
(*.f64 a (+.f64 1 (+.f64 (/.f64 b a) (+.f64 (/.f64 c a) (/.f64 d a)))))
(*.f64 a (+.f64 1 (+.f64 (/.f64 b a) (+.f64 (/.f64 c a) (/.f64 d a)))))
(*.f64 a (+.f64 1 (+.f64 (/.f64 b a) (+.f64 (/.f64 c a) (/.f64 d a)))))
a
(*.f64 -1 (*.f64 a (-.f64 (*.f64 -1 (/.f64 (+.f64 b (+.f64 c d)) a)) 1)))
(*.f64 -1 (*.f64 a (-.f64 (*.f64 -1 (/.f64 (+.f64 b (+.f64 c d)) a)) 1)))
(*.f64 -1 (*.f64 a (-.f64 (*.f64 -1 (/.f64 (+.f64 b (+.f64 c d)) a)) 1)))
(+.f64 a (+.f64 c d))
b
(*.f64 b (+.f64 1 (+.f64 (/.f64 a b) (+.f64 (/.f64 c b) (/.f64 d b)))))
(*.f64 b (+.f64 1 (+.f64 (/.f64 a b) (+.f64 (/.f64 c b) (/.f64 d b)))))
(*.f64 b (+.f64 1 (+.f64 (/.f64 a b) (+.f64 (/.f64 c b) (/.f64 d b)))))
b
(*.f64 -1 (*.f64 b (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 c d)) b)) 1)))
(*.f64 -1 (*.f64 b (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 c d)) b)) 1)))
(*.f64 -1 (*.f64 b (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 c d)) b)) 1)))
(+.f64 a (+.f64 b d))
c
(*.f64 c (+.f64 1 (+.f64 (/.f64 a c) (+.f64 (/.f64 b c) (/.f64 d c)))))
(*.f64 c (+.f64 1 (+.f64 (/.f64 a c) (+.f64 (/.f64 b c) (/.f64 d c)))))
(*.f64 c (+.f64 1 (+.f64 (/.f64 a c) (+.f64 (/.f64 b c) (/.f64 d c)))))
c
(*.f64 -1 (*.f64 c (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 b d)) c)) 1)))
(*.f64 -1 (*.f64 c (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 b d)) c)) 1)))
(*.f64 -1 (*.f64 c (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 b d)) c)) 1)))
(+.f64 a (+.f64 b c))
d
(*.f64 d (+.f64 1 (+.f64 (/.f64 a d) (+.f64 (/.f64 b d) (/.f64 c d)))))
(*.f64 d (+.f64 1 (+.f64 (/.f64 a d) (+.f64 (/.f64 b d) (/.f64 c d)))))
(*.f64 d (+.f64 1 (+.f64 (/.f64 a d) (+.f64 (/.f64 b d) (/.f64 c d)))))
d
(*.f64 -1 (*.f64 d (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 b c)) d)) 1)))
(*.f64 -1 (*.f64 d (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 b c)) d)) 1)))
(*.f64 -1 (*.f64 d (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 b c)) d)) 1)))
(+.f64 c d)
b
(*.f64 b (+.f64 1 (+.f64 (/.f64 c b) (/.f64 d b))))
(*.f64 b (+.f64 1 (+.f64 (/.f64 c b) (/.f64 d b))))
(*.f64 b (+.f64 1 (+.f64 (/.f64 c b) (/.f64 d b))))
b
(*.f64 -1 (*.f64 b (-.f64 (*.f64 -1 (/.f64 (+.f64 c d) b)) 1)))
(*.f64 -1 (*.f64 b (-.f64 (*.f64 -1 (/.f64 (+.f64 c d) b)) 1)))
(*.f64 -1 (*.f64 b (-.f64 (*.f64 -1 (/.f64 (+.f64 c d) b)) 1)))
(+.f64 b d)
c
(*.f64 c (+.f64 1 (+.f64 (/.f64 b c) (/.f64 d c))))
(*.f64 c (+.f64 1 (+.f64 (/.f64 b c) (/.f64 d c))))
(*.f64 c (+.f64 1 (+.f64 (/.f64 b c) (/.f64 d c))))
c
(*.f64 -1 (*.f64 c (-.f64 (*.f64 -1 (/.f64 (+.f64 b d) c)) 1)))
(*.f64 -1 (*.f64 c (-.f64 (*.f64 -1 (/.f64 (+.f64 b d) c)) 1)))
(*.f64 -1 (*.f64 c (-.f64 (*.f64 -1 (/.f64 (+.f64 b d) c)) 1)))
(+.f64 b c)
d
(*.f64 d (+.f64 1 (+.f64 (/.f64 b d) (/.f64 c d))))
(*.f64 d (+.f64 1 (+.f64 (/.f64 b d) (/.f64 c d))))
(*.f64 d (+.f64 1 (+.f64 (/.f64 b d) (/.f64 c d))))
d
(*.f64 -1 (*.f64 d (-.f64 (*.f64 -1 (/.f64 (+.f64 b c) d)) 1)))
(*.f64 -1 (*.f64 d (-.f64 (*.f64 -1 (/.f64 (+.f64 b c) d)) 1)))
(*.f64 -1 (*.f64 d (-.f64 (*.f64 -1 (/.f64 (+.f64 b c) d)) 1)))
(+.f64 b (+.f64 c d))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
a
(*.f64 a (+.f64 1 (+.f64 (/.f64 b a) (+.f64 (/.f64 c a) (/.f64 d a)))))
(*.f64 a (+.f64 1 (+.f64 (/.f64 b a) (+.f64 (/.f64 c a) (/.f64 d a)))))
(*.f64 a (+.f64 1 (+.f64 (/.f64 b a) (+.f64 (/.f64 c a) (/.f64 d a)))))
a
(*.f64 -1 (*.f64 a (-.f64 (*.f64 -1 (/.f64 (+.f64 b (+.f64 c d)) a)) 1)))
(*.f64 -1 (*.f64 a (-.f64 (*.f64 -1 (/.f64 (+.f64 b (+.f64 c d)) a)) 1)))
(*.f64 -1 (*.f64 a (-.f64 (*.f64 -1 (/.f64 (+.f64 b (+.f64 c d)) a)) 1)))
(+.f64 a (+.f64 b d))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
c
(*.f64 c (+.f64 1 (+.f64 (/.f64 a c) (+.f64 (/.f64 b c) (/.f64 d c)))))
(*.f64 c (+.f64 1 (+.f64 (/.f64 a c) (+.f64 (/.f64 b c) (/.f64 d c)))))
(*.f64 c (+.f64 1 (+.f64 (/.f64 a c) (+.f64 (/.f64 b c) (/.f64 d c)))))
c
(*.f64 -1 (*.f64 c (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 b d)) c)) 1)))
(*.f64 -1 (*.f64 c (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 b d)) c)) 1)))
(*.f64 -1 (*.f64 c (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 b d)) c)) 1)))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
b
(*.f64 b (+.f64 1 (+.f64 (/.f64 a b) (+.f64 (/.f64 c b) (/.f64 d b)))))
(*.f64 b (+.f64 1 (+.f64 (/.f64 a b) (+.f64 (/.f64 c b) (/.f64 d b)))))
(*.f64 b (+.f64 1 (+.f64 (/.f64 a b) (+.f64 (/.f64 c b) (/.f64 d b)))))
b
(*.f64 -1 (*.f64 b (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 c d)) b)) 1)))
(*.f64 -1 (*.f64 b (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 c d)) b)) 1)))
(*.f64 -1 (*.f64 b (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 c d)) b)) 1)))
(+.f64 a (+.f64 b c))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
d
(*.f64 d (+.f64 1 (+.f64 (/.f64 a d) (+.f64 (/.f64 b d) (/.f64 c d)))))
(*.f64 d (+.f64 1 (+.f64 (/.f64 a d) (+.f64 (/.f64 b d) (/.f64 c d)))))
(*.f64 d (+.f64 1 (+.f64 (/.f64 a d) (+.f64 (/.f64 b d) (/.f64 c d)))))
d
(*.f64 -1 (*.f64 d (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 b c)) d)) 1)))
(*.f64 -1 (*.f64 d (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 b c)) d)) 1)))
(*.f64 -1 (*.f64 d (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 b c)) d)) 1)))
(+.f64 b d)
(+.f64 b (+.f64 c d))
(+.f64 b (+.f64 c d))
(+.f64 b (+.f64 c d))
c
(*.f64 c (+.f64 1 (+.f64 (/.f64 b c) (/.f64 d c))))
(*.f64 c (+.f64 1 (+.f64 (/.f64 b c) (/.f64 d c))))
(*.f64 c (+.f64 1 (+.f64 (/.f64 b c) (/.f64 d c))))
c
(*.f64 -1 (*.f64 c (-.f64 (*.f64 -1 (/.f64 (+.f64 b d) c)) 1)))
(*.f64 -1 (*.f64 c (-.f64 (*.f64 -1 (/.f64 (+.f64 b d) c)) 1)))
(*.f64 -1 (*.f64 c (-.f64 (*.f64 -1 (/.f64 (+.f64 b d) c)) 1)))
(+.f64 c d)
(+.f64 b (+.f64 c d))
(+.f64 b (+.f64 c d))
(+.f64 b (+.f64 c d))
b
(*.f64 b (+.f64 1 (+.f64 (/.f64 c b) (/.f64 d b))))
(*.f64 b (+.f64 1 (+.f64 (/.f64 c b) (/.f64 d b))))
(*.f64 b (+.f64 1 (+.f64 (/.f64 c b) (/.f64 d b))))
b
(*.f64 -1 (*.f64 b (-.f64 (*.f64 -1 (/.f64 (+.f64 c d) b)) 1)))
(*.f64 -1 (*.f64 b (-.f64 (*.f64 -1 (/.f64 (+.f64 c d) b)) 1)))
(*.f64 -1 (*.f64 b (-.f64 (*.f64 -1 (/.f64 (+.f64 c d) b)) 1)))
(+.f64 b c)
(+.f64 b (+.f64 c d))
(+.f64 b (+.f64 c d))
(+.f64 b (+.f64 c d))
d
(*.f64 d (+.f64 1 (+.f64 (/.f64 b d) (/.f64 c d))))
(*.f64 d (+.f64 1 (+.f64 (/.f64 b d) (/.f64 c d))))
(*.f64 d (+.f64 1 (+.f64 (/.f64 b d) (/.f64 c d))))
d
(*.f64 -1 (*.f64 d (-.f64 (*.f64 -1 (/.f64 (+.f64 b c) d)) 1)))
(*.f64 -1 (*.f64 d (-.f64 (*.f64 -1 (/.f64 (+.f64 b c) d)) 1)))
(*.f64 -1 (*.f64 d (-.f64 (*.f64 -1 (/.f64 (+.f64 b c) d)) 1)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 b d) (+.f64 a c)))) 1)
(-.f64 (/.f64 (pow.f64 a 2) (-.f64 (-.f64 a (+.f64 b c)) d)) (/.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (-.f64 (-.f64 a (+.f64 b c)) d)))
(*.f64 (+.f64 (+.f64 b d) (+.f64 a c)) 1)
(*.f64 1 (+.f64 (+.f64 b d) (+.f64 a c)))
(*.f64 (cbrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) 2) (cbrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) (sqrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(*.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 a a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a)))))
(*.f64 (-.f64 (pow.f64 a 2) (pow.f64 (+.f64 b (+.f64 c d)) 2)) (/.f64 1 (-.f64 (-.f64 a (+.f64 b c)) d)))
(/.f64 1 (/.f64 (fma.f64 a a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a))) (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 a (+.f64 b c)) d) (-.f64 (pow.f64 a 2) (pow.f64 (+.f64 b (+.f64 c d)) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3)) (fma.f64 a a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a))))
(/.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3)) (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (-.f64 (pow.f64 a 2) (*.f64 a (+.f64 b (+.f64 c d))))))
(/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (+.f64 b (+.f64 c d)) 2)) (-.f64 (-.f64 a (+.f64 b c)) d))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3))) (neg.f64 (fma.f64 a a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a 2) (pow.f64 (+.f64 b (+.f64 c d)) 2))) (neg.f64 (-.f64 (-.f64 a (+.f64 b c)) d)))
(/.f64 (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 (+.f64 b d) 3)) (+.f64 (*.f64 (+.f64 a c) (+.f64 a c)) (-.f64 (pow.f64 (+.f64 b d) 2) (*.f64 (+.f64 a c) (+.f64 b d)))))
(/.f64 (+.f64 (pow.f64 (+.f64 a b) 3) (pow.f64 (+.f64 c d) 3)) (+.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (-.f64 (pow.f64 (+.f64 c d) 2) (*.f64 (+.f64 a b) (+.f64 c d)))))
(/.f64 (-.f64 (*.f64 (+.f64 a c) (+.f64 a c)) (pow.f64 (+.f64 b d) 2)) (-.f64 (+.f64 a c) (+.f64 b d)))
(/.f64 (-.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (pow.f64 a 2)) (-.f64 (+.f64 b (+.f64 c d)) a))
(/.f64 (-.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (pow.f64 (+.f64 c d) 2)) (-.f64 (+.f64 a b) (+.f64 c d)))
(pow.f64 (+.f64 (+.f64 b d) (+.f64 a c)) 1)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) 3)
(pow.f64 (pow.f64 (+.f64 (+.f64 b d) (+.f64 a c)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) 2)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 b d) (+.f64 a c)) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 b d) (+.f64 a c)))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 b d) (+.f64 a c)) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(exp.f64 (log.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 b d) (+.f64 a c))) 1))
(fma.f64 1 a (+.f64 b (+.f64 c d)))
(fma.f64 1 (+.f64 b (+.f64 c d)) a)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2) (cbrt.f64 (+.f64 b (+.f64 c d))) a)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 b (+.f64 c d)))
(fma.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) (sqrt.f64 (+.f64 b (+.f64 c d))) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 b (+.f64 c d)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 b (+.f64 c d)))) 1)
(-.f64 (/.f64 (pow.f64 c 2) (-.f64 (-.f64 c d) b)) (/.f64 (pow.f64 (+.f64 b d) 2) (-.f64 (-.f64 c d) b)))
(-.f64 (/.f64 (pow.f64 b 2) (-.f64 (-.f64 b d) c)) (/.f64 (pow.f64 (+.f64 c d) 2) (-.f64 (-.f64 b d) c)))
(*.f64 (+.f64 b (+.f64 c d)) 1)
(*.f64 1 (+.f64 b (+.f64 c d)))
(*.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2) (cbrt.f64 (+.f64 b (+.f64 c d))))
(*.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) (sqrt.f64 (+.f64 b (+.f64 c d))))
(*.f64 (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 c 3)) (/.f64 1 (fma.f64 c c (*.f64 (+.f64 b d) (-.f64 (+.f64 b d) c)))))
(*.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3)) (/.f64 1 (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b)))))
(*.f64 (-.f64 (pow.f64 c 2) (pow.f64 (+.f64 b d) 2)) (/.f64 1 (-.f64 (-.f64 c d) b)))
(*.f64 (-.f64 (pow.f64 b 2) (pow.f64 (+.f64 c d) 2)) (/.f64 1 (-.f64 (-.f64 b d) c)))
(/.f64 1 (/.f64 (fma.f64 c c (*.f64 (+.f64 b d) (-.f64 (+.f64 b d) c))) (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 c 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 c d) b) (-.f64 (pow.f64 c 2) (pow.f64 (+.f64 b d) 2))))
(/.f64 1 (/.f64 (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b))) (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 b d) c) (-.f64 (pow.f64 b 2) (pow.f64 (+.f64 c d) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 c 3)) (fma.f64 c c (*.f64 (+.f64 b d) (-.f64 (+.f64 b d) c))))
(/.f64 (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 c 3)) (+.f64 (pow.f64 (+.f64 b d) 2) (-.f64 (pow.f64 c 2) (*.f64 c (+.f64 b d)))))
(/.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3)) (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b))))
(/.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3)) (+.f64 (pow.f64 (+.f64 c d) 2) (-.f64 (pow.f64 b 2) (*.f64 b (+.f64 c d)))))
(/.f64 (-.f64 (pow.f64 c 2) (pow.f64 (+.f64 b d) 2)) (-.f64 (-.f64 c d) b))
(/.f64 (-.f64 (pow.f64 b 2) (pow.f64 (+.f64 c d) 2)) (-.f64 (-.f64 b d) c))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 c 3))) (neg.f64 (fma.f64 c c (*.f64 (+.f64 b d) (-.f64 (+.f64 b d) c)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 c 2) (pow.f64 (+.f64 b d) 2))) (neg.f64 (-.f64 (-.f64 c d) b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3))) (neg.f64 (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b 2) (pow.f64 (+.f64 c d) 2))) (neg.f64 (-.f64 (-.f64 b d) c)))
(/.f64 (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3)) (+.f64 (*.f64 (+.f64 b c) (+.f64 b c)) (-.f64 (pow.f64 d 2) (*.f64 (+.f64 b c) d))))
(/.f64 (-.f64 (pow.f64 (+.f64 b d) 2) (pow.f64 c 2)) (-.f64 (+.f64 b d) c))
(/.f64 (-.f64 (*.f64 (+.f64 b c) (+.f64 b c)) (pow.f64 d 2)) (-.f64 (+.f64 b c) d))
(/.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 b 2)) (-.f64 (+.f64 c d) b))
(pow.f64 (+.f64 b (+.f64 c d)) 1)
(pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 3)
(pow.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) 2)
(sqrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2))
(log.f64 (exp.f64 (+.f64 b (+.f64 c d))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 b (+.f64 c d)))))
(cbrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3))
(expm1.f64 (log1p.f64 (+.f64 b (+.f64 c d))))
(log1p.f64 (expm1.f64 (+.f64 b (+.f64 c d))))
(exp.f64 (log.f64 (+.f64 b (+.f64 c d))))
(exp.f64 (*.f64 (log.f64 (+.f64 b (+.f64 c d))) 1))
(fma.f64 1 b (+.f64 c d))
(fma.f64 1 c (+.f64 b d))
(fma.f64 1 (+.f64 c d) b)
(fma.f64 1 (+.f64 b d) c)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b d)) 2) (cbrt.f64 (+.f64 b d)) c)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 c d)) 2) (cbrt.f64 (+.f64 c d)) b)
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c) (+.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 c d))
(fma.f64 (sqrt.f64 (+.f64 b d)) (sqrt.f64 (+.f64 b d)) c)
(fma.f64 (sqrt.f64 (+.f64 c d)) (sqrt.f64 (+.f64 c d)) b)
(fma.f64 (sqrt.f64 c) (sqrt.f64 c) (+.f64 b d))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 c d))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (+.f64 b d) (+.f64 a c)))) 1)
(-.f64 (/.f64 (pow.f64 a 2) (-.f64 (-.f64 a (+.f64 b c)) d)) (/.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (-.f64 (-.f64 a (+.f64 b c)) d)))
(*.f64 (+.f64 (+.f64 b d) (+.f64 a c)) 1)
(*.f64 1 (+.f64 (+.f64 b d) (+.f64 a c)))
(*.f64 (cbrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) (pow.f64 (cbrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) 2) (cbrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(*.f64 (sqrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) (sqrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(*.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 a a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a)))))
(*.f64 (-.f64 (pow.f64 a 2) (pow.f64 (+.f64 b (+.f64 c d)) 2)) (/.f64 1 (-.f64 (-.f64 a (+.f64 b c)) d)))
(/.f64 1 (/.f64 (fma.f64 a a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a))) (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 a (+.f64 b c)) d) (-.f64 (pow.f64 a 2) (pow.f64 (+.f64 b (+.f64 c d)) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3)) (fma.f64 a a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a))))
(/.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3)) (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (-.f64 (pow.f64 a 2) (*.f64 a (+.f64 b (+.f64 c d))))))
(/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (+.f64 b (+.f64 c d)) 2)) (-.f64 (-.f64 a (+.f64 b c)) d))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) (pow.f64 a 3))) (neg.f64 (fma.f64 a a (*.f64 (+.f64 b (+.f64 c d)) (-.f64 (+.f64 b (+.f64 c d)) a)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 a 2) (pow.f64 (+.f64 b (+.f64 c d)) 2))) (neg.f64 (-.f64 (-.f64 a (+.f64 b c)) d)))
(/.f64 (+.f64 (pow.f64 (+.f64 a c) 3) (pow.f64 (+.f64 b d) 3)) (+.f64 (*.f64 (+.f64 a c) (+.f64 a c)) (-.f64 (pow.f64 (+.f64 b d) 2) (*.f64 (+.f64 a c) (+.f64 b d)))))
(/.f64 (+.f64 (pow.f64 (+.f64 a b) 3) (pow.f64 (+.f64 c d) 3)) (+.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (-.f64 (pow.f64 (+.f64 c d) 2) (*.f64 (+.f64 a b) (+.f64 c d)))))
(/.f64 (-.f64 (*.f64 (+.f64 a c) (+.f64 a c)) (pow.f64 (+.f64 b d) 2)) (-.f64 (+.f64 a c) (+.f64 b d)))
(/.f64 (-.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2) (pow.f64 a 2)) (-.f64 (+.f64 b (+.f64 c d)) a))
(/.f64 (-.f64 (*.f64 (+.f64 a b) (+.f64 a b)) (pow.f64 (+.f64 c d) 2)) (-.f64 (+.f64 a b) (+.f64 c d)))
(pow.f64 (+.f64 (+.f64 b d) (+.f64 a c)) 1)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) 3)
(pow.f64 (pow.f64 (+.f64 (+.f64 b d) (+.f64 a c)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 b d) (+.f64 a c))) 2)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 b d) (+.f64 a c)) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (+.f64 b d) (+.f64 a c)))))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 b d) (+.f64 a c)) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(exp.f64 (log.f64 (+.f64 (+.f64 b d) (+.f64 a c))))
(exp.f64 (*.f64 (log.f64 (+.f64 (+.f64 b d) (+.f64 a c))) 1))
(fma.f64 1 a (+.f64 b (+.f64 c d)))
(fma.f64 1 (+.f64 b (+.f64 c d)) a)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2) (cbrt.f64 (+.f64 b (+.f64 c d))) a)
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 b (+.f64 c d)))
(fma.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) (sqrt.f64 (+.f64 b (+.f64 c d))) a)
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 b (+.f64 c d)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 b (+.f64 c d)))) 1)
(-.f64 (/.f64 (pow.f64 c 2) (-.f64 (-.f64 c d) b)) (/.f64 (pow.f64 (+.f64 b d) 2) (-.f64 (-.f64 c d) b)))
(-.f64 (/.f64 (pow.f64 b 2) (-.f64 (-.f64 b d) c)) (/.f64 (pow.f64 (+.f64 c d) 2) (-.f64 (-.f64 b d) c)))
(*.f64 (+.f64 b (+.f64 c d)) 1)
(*.f64 1 (+.f64 b (+.f64 c d)))
(*.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 2) (cbrt.f64 (+.f64 b (+.f64 c d))))
(*.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) (sqrt.f64 (+.f64 b (+.f64 c d))))
(*.f64 (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 c 3)) (/.f64 1 (fma.f64 c c (*.f64 (+.f64 b d) (-.f64 (+.f64 b d) c)))))
(*.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3)) (/.f64 1 (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b)))))
(*.f64 (-.f64 (pow.f64 c 2) (pow.f64 (+.f64 b d) 2)) (/.f64 1 (-.f64 (-.f64 c d) b)))
(*.f64 (-.f64 (pow.f64 b 2) (pow.f64 (+.f64 c d) 2)) (/.f64 1 (-.f64 (-.f64 b d) c)))
(/.f64 1 (/.f64 (fma.f64 c c (*.f64 (+.f64 b d) (-.f64 (+.f64 b d) c))) (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 c 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 c d) b) (-.f64 (pow.f64 c 2) (pow.f64 (+.f64 b d) 2))))
(/.f64 1 (/.f64 (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b))) (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3))))
(/.f64 1 (/.f64 (-.f64 (-.f64 b d) c) (-.f64 (pow.f64 b 2) (pow.f64 (+.f64 c d) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 c 3)) (fma.f64 c c (*.f64 (+.f64 b d) (-.f64 (+.f64 b d) c))))
(/.f64 (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 c 3)) (+.f64 (pow.f64 (+.f64 b d) 2) (-.f64 (pow.f64 c 2) (*.f64 c (+.f64 b d)))))
(/.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3)) (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b))))
(/.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3)) (+.f64 (pow.f64 (+.f64 c d) 2) (-.f64 (pow.f64 b 2) (*.f64 b (+.f64 c d)))))
(/.f64 (-.f64 (pow.f64 c 2) (pow.f64 (+.f64 b d) 2)) (-.f64 (-.f64 c d) b))
(/.f64 (-.f64 (pow.f64 b 2) (pow.f64 (+.f64 c d) 2)) (-.f64 (-.f64 b d) c))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 b d) 3) (pow.f64 c 3))) (neg.f64 (fma.f64 c c (*.f64 (+.f64 b d) (-.f64 (+.f64 b d) c)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 c 2) (pow.f64 (+.f64 b d) 2))) (neg.f64 (-.f64 (-.f64 c d) b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 b 3))) (neg.f64 (fma.f64 b b (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 b 2) (pow.f64 (+.f64 c d) 2))) (neg.f64 (-.f64 (-.f64 b d) c)))
(/.f64 (+.f64 (pow.f64 (+.f64 b c) 3) (pow.f64 d 3)) (+.f64 (*.f64 (+.f64 b c) (+.f64 b c)) (-.f64 (pow.f64 d 2) (*.f64 (+.f64 b c) d))))
(/.f64 (-.f64 (pow.f64 (+.f64 b d) 2) (pow.f64 c 2)) (-.f64 (+.f64 b d) c))
(/.f64 (-.f64 (*.f64 (+.f64 b c) (+.f64 b c)) (pow.f64 d 2)) (-.f64 (+.f64 b c) d))
(/.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 b 2)) (-.f64 (+.f64 c d) b))
(pow.f64 (+.f64 b (+.f64 c d)) 1)
(pow.f64 (cbrt.f64 (+.f64 b (+.f64 c d))) 3)
(pow.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 b (+.f64 c d))) 2)
(sqrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) 2))
(log.f64 (exp.f64 (+.f64 b (+.f64 c d))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 b (+.f64 c d)))))
(cbrt.f64 (pow.f64 (+.f64 b (+.f64 c d)) 3))
(expm1.f64 (log1p.f64 (+.f64 b (+.f64 c d))))
(log1p.f64 (expm1.f64 (+.f64 b (+.f64 c d))))
(exp.f64 (log.f64 (+.f64 b (+.f64 c d))))
(exp.f64 (*.f64 (log.f64 (+.f64 b (+.f64 c d))) 1))
(fma.f64 1 b (+.f64 c d))
(fma.f64 1 c (+.f64 b d))
(fma.f64 1 (+.f64 c d) b)
(fma.f64 1 (+.f64 b d) c)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 b d)) 2) (cbrt.f64 (+.f64 b d)) c)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 c d)) 2) (cbrt.f64 (+.f64 c d)) b)
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c) (+.f64 b d))
(fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (+.f64 c d))
(fma.f64 (sqrt.f64 (+.f64 b d)) (sqrt.f64 (+.f64 b d)) c)
(fma.f64 (sqrt.f64 (+.f64 c d)) (sqrt.f64 (+.f64 c d)) b)
(fma.f64 (sqrt.f64 c) (sqrt.f64 c) (+.f64 b d))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 c d))
Outputs
(+.f64 b (+.f64 c d))
a
(*.f64 a (+.f64 1 (+.f64 (/.f64 b a) (+.f64 (/.f64 c a) (/.f64 d a)))))
(*.f64 a (+.f64 (/.f64 b a) (+.f64 1 (+.f64 (/.f64 c a) (/.f64 d a)))))
(*.f64 a (+.f64 1 (+.f64 (/.f64 b a) (+.f64 (/.f64 c a) (/.f64 d a)))))
(*.f64 a (+.f64 (/.f64 b a) (+.f64 1 (+.f64 (/.f64 c a) (/.f64 d a)))))
(*.f64 a (+.f64 1 (+.f64 (/.f64 b a) (+.f64 (/.f64 c a) (/.f64 d a)))))
(*.f64 a (+.f64 (/.f64 b a) (+.f64 1 (+.f64 (/.f64 c a) (/.f64 d a)))))
a
(*.f64 -1 (*.f64 a (-.f64 (*.f64 -1 (/.f64 (+.f64 b (+.f64 c d)) a)) 1)))
(neg.f64 (*.f64 a (fma.f64 -1 (/.f64 (+.f64 b (+.f64 c d)) a) -1)))
(*.f64 a (neg.f64 (fma.f64 -1 (/.f64 (+.f64 b (+.f64 c d)) a) -1)))
(*.f64 (-.f64 -1 (/.f64 (+.f64 b (+.f64 c d)) a)) (neg.f64 a))
(*.f64 -1 (*.f64 a (-.f64 (*.f64 -1 (/.f64 (+.f64 b (+.f64 c d)) a)) 1)))
(neg.f64 (*.f64 a (fma.f64 -1 (/.f64 (+.f64 b (+.f64 c d)) a) -1)))
(*.f64 a (neg.f64 (fma.f64 -1 (/.f64 (+.f64 b (+.f64 c d)) a) -1)))
(*.f64 (-.f64 -1 (/.f64 (+.f64 b (+.f64 c d)) a)) (neg.f64 a))
(*.f64 -1 (*.f64 a (-.f64 (*.f64 -1 (/.f64 (+.f64 b (+.f64 c d)) a)) 1)))
(neg.f64 (*.f64 a (fma.f64 -1 (/.f64 (+.f64 b (+.f64 c d)) a) -1)))
(*.f64 a (neg.f64 (fma.f64 -1 (/.f64 (+.f64 b (+.f64 c d)) a) -1)))
(*.f64 (-.f64 -1 (/.f64 (+.f64 b (+.f64 c d)) a)) (neg.f64 a))
(+.f64 a (+.f64 c d))
(+.f64 (+.f64 c d) a)
(+.f64 c (+.f64 d a))
b
(*.f64 b (+.f64 1 (+.f64 (/.f64 a b) (+.f64 (/.f64 c b) (/.f64 d b)))))
(*.f64 b (+.f64 1 (+.f64 (+.f64 (/.f64 a b) (/.f64 c b)) (/.f64 d b))))
(*.f64 b (+.f64 (/.f64 d b) (+.f64 (+.f64 (/.f64 a b) (/.f64 c b)) 1)))
(*.f64 b (+.f64 1 (+.f64 (/.f64 a b) (+.f64 (/.f64 c b) (/.f64 d b)))))
(*.f64 b (+.f64 1 (+.f64 (+.f64 (/.f64 a b) (/.f64 c b)) (/.f64 d b))))
(*.f64 b (+.f64 (/.f64 d b) (+.f64 (+.f64 (/.f64 a b) (/.f64 c b)) 1)))
(*.f64 b (+.f64 1 (+.f64 (/.f64 a b) (+.f64 (/.f64 c b) (/.f64 d b)))))
(*.f64 b (+.f64 1 (+.f64 (+.f64 (/.f64 a b) (/.f64 c b)) (/.f64 d b))))
(*.f64 b (+.f64 (/.f64 d b) (+.f64 (+.f64 (/.f64 a b) (/.f64 c b)) 1)))
b
(*.f64 -1 (*.f64 b (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 c d)) b)) 1)))
(neg.f64 (*.f64 b (fma.f64 -1 (/.f64 (+.f64 (+.f64 c d) a) b) -1)))
(*.f64 b (neg.f64 (fma.f64 -1 (/.f64 (+.f64 c (+.f64 d a)) b) -1)))
(*.f64 (-.f64 -1 (/.f64 (+.f64 c (+.f64 d a)) b)) (neg.f64 b))
(*.f64 -1 (*.f64 b (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 c d)) b)) 1)))
(neg.f64 (*.f64 b (fma.f64 -1 (/.f64 (+.f64 (+.f64 c d) a) b) -1)))
(*.f64 b (neg.f64 (fma.f64 -1 (/.f64 (+.f64 c (+.f64 d a)) b) -1)))
(*.f64 (-.f64 -1 (/.f64 (+.f64 c (+.f64 d a)) b)) (neg.f64 b))
(*.f64 -1 (*.f64 b (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 c d)) b)) 1)))
(neg.f64 (*.f64 b (fma.f64 -1 (/.f64 (+.f64 (+.f64 c d) a) b) -1)))
(*.f64 b (neg.f64 (fma.f64 -1 (/.f64 (+.f64 c (+.f64 d a)) b) -1)))
(*.f64 (-.f64 -1 (/.f64 (+.f64 c (+.f64 d a)) b)) (neg.f64 b))
(+.f64 a (+.f64 b d))
(+.f64 b (+.f64 d a))
c
(*.f64 c (+.f64 1 (+.f64 (/.f64 a c) (+.f64 (/.f64 b c) (/.f64 d c)))))
(*.f64 c (+.f64 (+.f64 1 (/.f64 a c)) (+.f64 (/.f64 b c) (/.f64 d c))))
(*.f64 c (+.f64 (/.f64 b c) (+.f64 (/.f64 d c) (+.f64 1 (/.f64 a c)))))
(*.f64 c (+.f64 1 (+.f64 (/.f64 a c) (+.f64 (/.f64 b c) (/.f64 d c)))))
(*.f64 c (+.f64 (+.f64 1 (/.f64 a c)) (+.f64 (/.f64 b c) (/.f64 d c))))
(*.f64 c (+.f64 (/.f64 b c) (+.f64 (/.f64 d c) (+.f64 1 (/.f64 a c)))))
(*.f64 c (+.f64 1 (+.f64 (/.f64 a c) (+.f64 (/.f64 b c) (/.f64 d c)))))
(*.f64 c (+.f64 (+.f64 1 (/.f64 a c)) (+.f64 (/.f64 b c) (/.f64 d c))))
(*.f64 c (+.f64 (/.f64 b c) (+.f64 (/.f64 d c) (+.f64 1 (/.f64 a c)))))
c
(*.f64 -1 (*.f64 c (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 b d)) c)) 1)))
(neg.f64 (*.f64 c (fma.f64 -1 (/.f64 (+.f64 a (+.f64 b d)) c) -1)))
(*.f64 (fma.f64 -1 (/.f64 (+.f64 b (+.f64 d a)) c) -1) (neg.f64 c))
(*.f64 (-.f64 -1 (/.f64 (+.f64 b (+.f64 d a)) c)) (neg.f64 c))
(*.f64 -1 (*.f64 c (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 b d)) c)) 1)))
(neg.f64 (*.f64 c (fma.f64 -1 (/.f64 (+.f64 a (+.f64 b d)) c) -1)))
(*.f64 (fma.f64 -1 (/.f64 (+.f64 b (+.f64 d a)) c) -1) (neg.f64 c))
(*.f64 (-.f64 -1 (/.f64 (+.f64 b (+.f64 d a)) c)) (neg.f64 c))
(*.f64 -1 (*.f64 c (-.f64 (*.f64 -1 (/.f64 (+.f64 a (+.f64 b d)) c)) 1)))
(neg.f64 (*.f64 c (fma.f64 -1 (/.f64 (+.f64 a (+.f64 b d)) c) -1)))
(*.f64 (fma.f64 -1 (/.f64 (+.f64 b (+.f64 d a)) c) -1) (neg.f64 c))
(*.f64 (-.f64 -1 (/.f64 (+.f64 b (+.f64 d a)) c)) (neg.f64 c))
(+.f64 a (+.f64 b c))
(+.f64 b (+.f64 c a))
d
(*.f64 d (+.f64 1 (+.f64 (/.f64 a d) (+.f64 (/.f64 b d) (/.f64 c d)))))
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d
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b
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b
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c
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c
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d
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d
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a
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a
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c
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c
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b
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b
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d
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d
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c
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c
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b
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b
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(fma.f64 (sqrt.f64 c) (sqrt.f64 c) (+.f64 b d))
(+.f64 b (+.f64 c d))
(fma.f64 (sqrt.f64 b) (sqrt.f64 b) (+.f64 c d))
(+.f64 b (+.f64 c d))

eval47.0ms (1%)

Compiler

Compiled 3262 to 1412 computations (56.7% saved)

prune34.0ms (0.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1825187
Fresh000
Picked202
Done000
Total1845189
Accuracy
100.0%
Counts
189 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶11.7%
(*.f64 (+.f64 (+.f64 c d) a) 2)
▶100.0%
(*.f64 (+.f64 (+.f64 b c) (+.f64 d a)) 2)
▶11.7%
(*.f64 (+.f64 c (+.f64 d a)) 2)
▶11.6%
(*.f64 c 2)
▶6.2%
(*.f64 b 2)
Compiler

Compiled 98 to 74 computations (24.5% saved)

localize90.0ms (1.9%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
✓98.0%
(+.f64 (+.f64 c d) a)
Compiler

Compiled 80 to 26 computations (67.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
Operation ival-mult, time spent: 13.0ms, 58.0% of total-time
Operation ival-add, time spent: 8.0ms, 36.0% of total-time
Operation const, time spent: 2.0ms, 9.0% of total-time

series2.0ms (0.1%)

Counts
1 → 36
Calls
Call 1
Inputs
#<alt (+.f64 (+.f64 c d) a)>
Outputs
#<alt (+.f64 a d)>
#<alt (+.f64 a (+.f64 c d))>
#<alt (+.f64 a (+.f64 c d))>
#<alt (+.f64 a (+.f64 c d))>
#<alt c>
#<alt (*.f64 c (+.f64 1 (+.f64 (/.f64 a c) (/.f64 d c))))>
#<alt (*.f64 c (+.f64 1 (+.f64 (/.f64 a c) (/.f64 d c))))>
#<alt (*.f64 c (+.f64 1 (+.f64 (/.f64 a c) (/.f64 d c))))>
#<alt c>
#<alt (*.f64 -1 (*.f64 c (-.f64 (*.f64 -1 (/.f64 (+.f64 a d) c)) 1)))>
#<alt (*.f64 -1 (*.f64 c (-.f64 (*.f64 -1 (/.f64 (+.f64 a d) c)) 1)))>
#<alt (*.f64 -1 (*.f64 c (-.f64 (*.f64 -1 (/.f64 (+.f64 a d) c)) 1)))>
#<alt (+.f64 a c)>
#<alt (+.f64 a (+.f64 c d))>
#<alt (+.f64 a (+.f64 c d))>
#<alt (+.f64 a (+.f64 c d))>
#<alt d>
#<alt (*.f64 d (+.f64 1 (+.f64 (/.f64 a d) (/.f64 c d))))>
#<alt (*.f64 d (+.f64 1 (+.f64 (/.f64 a d) (/.f64 c d))))>
#<alt (*.f64 d (+.f64 1 (+.f64 (/.f64 a d) (/.f64 c d))))>
#<alt d>
#<alt (*.f64 -1 (*.f64 d (-.f64 (*.f64 -1 (/.f64 (+.f64 a c) d)) 1)))>
#<alt (*.f64 -1 (*.f64 d (-.f64 (*.f64 -1 (/.f64 (+.f64 a c) d)) 1)))>
#<alt (*.f64 -1 (*.f64 d (-.f64 (*.f64 -1 (/.f64 (+.f64 a c) d)) 1)))>
#<alt (+.f64 c d)>
#<alt (+.f64 a (+.f64 c d))>
#<alt (+.f64 a (+.f64 c d))>
#<alt (+.f64 a (+.f64 c d))>
#<alt a>
#<alt (*.f64 a (+.f64 1 (+.f64 (/.f64 c a) (/.f64 d a))))>
#<alt (*.f64 a (+.f64 1 (+.f64 (/.f64 c a) (/.f64 d a))))>
#<alt (*.f64 a (+.f64 1 (+.f64 (/.f64 c a) (/.f64 d a))))>
#<alt a>
#<alt (*.f64 -1 (*.f64 a (-.f64 (*.f64 -1 (/.f64 (+.f64 c d) a)) 1)))>
#<alt (*.f64 -1 (*.f64 a (-.f64 (*.f64 -1 (/.f64 (+.f64 c d) a)) 1)))>
#<alt (*.f64 -1 (*.f64 a (-.f64 (*.f64 -1 (/.f64 (+.f64 c d) a)) 1)))>
Calls

9 calls:

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

rewrite88.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
1094×unpow-prod-down
786×fma-define
738×log1p-expm1-u
738×expm1-log1p-u
590×log-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01122
112822
2191022
Stop Event
1×node limit
Counts
1 → 96
Calls
Call 1
Inputs
(+.f64 (+.f64 c d) a)
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 c (+.f64 d a)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 c d) 2) (+.f64 c (-.f64 d a))) (/.f64 (pow.f64 a 2) (+.f64 c (-.f64 d a))))
(*.f64 (+.f64 c (+.f64 d a)) 1)
(*.f64 (+.f64 c (+.f64 d a)) (log.f64 (exp.f64 1)))
(*.f64 1 (+.f64 c (+.f64 d a)))
(*.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 2))
(*.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) (pow.f64 (pow.f64 (+.f64 c (+.f64 d a)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 2) (cbrt.f64 (+.f64 c (+.f64 d a))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 c (+.f64 d a)))) 2))
(*.f64 (sqrt.f64 (+.f64 c (+.f64 d a))) (sqrt.f64 (+.f64 c (+.f64 d a))))
(*.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 a (-.f64 a (+.f64 c d)) (pow.f64 (+.f64 c d) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3)) (pow.f64 (/.f64 1 (fma.f64 a (-.f64 a (+.f64 c d)) (pow.f64 (+.f64 c d) 2))) 1))
(*.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 a 2)) (/.f64 1 (+.f64 c (-.f64 d a))))
(*.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (+.f64 c (-.f64 d a))) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 c (+.f64 d a)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 c (+.f64 d a)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 c (+.f64 d a)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) (cbrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) 3))
(*.f64 (pow.f64 (pow.f64 (+.f64 c (+.f64 d a)) 2) 1/3) (cbrt.f64 (+.f64 c (+.f64 d a))))
(*.f64 (pow.f64 (*.f64 (+.f64 c (+.f64 d a)) (sqrt.f64 (+.f64 c (+.f64 d a)))) 1/3) (pow.f64 (*.f64 (+.f64 c (+.f64 d a)) (sqrt.f64 (+.f64 c (+.f64 d a)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 c (+.f64 d a)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 c (+.f64 d a)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 c (+.f64 d a)) 2) (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 2)) 1/3) (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 c (+.f64 d a)) 2) (sqrt.f64 (+.f64 c (+.f64 d a)))) 1/3) (pow.f64 (sqrt.f64 (+.f64 c (+.f64 d a))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 c (+.f64 d a)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 c (+.f64 d a)))) 2))
(/.f64 1 (/.f64 (fma.f64 a (-.f64 a (+.f64 c d)) (pow.f64 (+.f64 c d) 2)) (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3))))
(/.f64 1 (/.f64 (+.f64 c (-.f64 d a)) (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 a 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3)) (fma.f64 a (-.f64 a (+.f64 c d)) (pow.f64 (+.f64 c d) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3)) (fma.f64 a a (-.f64 (pow.f64 (+.f64 c d) 2) (*.f64 (+.f64 c d) a))))
(/.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 a 2)) (+.f64 c (-.f64 d a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3))) (neg.f64 (fma.f64 a (-.f64 a (+.f64 c d)) (pow.f64 (+.f64 c d) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 a 2))) (neg.f64 (+.f64 c (-.f64 d a))))
(/.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 d a) 3)) (fma.f64 c c (-.f64 (*.f64 (+.f64 d a) (+.f64 d a)) (*.f64 c (+.f64 d a)))))
(/.f64 (-.f64 (pow.f64 c 2) (*.f64 (+.f64 d a) (+.f64 d a))) (-.f64 c (+.f64 d a)))
(/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (+.f64 c d) 2)) (-.f64 a (+.f64 c d)))
(pow.f64 (+.f64 c (+.f64 d a)) 1)
(pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 3)
(pow.f64 (pow.f64 (+.f64 c (+.f64 d a)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 c (+.f64 d a))) 2)
(pow.f64 (/.f64 (fma.f64 a (-.f64 a (+.f64 c d)) (pow.f64 (+.f64 c d) 2)) (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3))) -1)
(pow.f64 (/.f64 (+.f64 c (-.f64 d a)) (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 a 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 c (+.f64 d a)) 2))
(log.f64 (exp.f64 (+.f64 c (+.f64 d a))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 c (+.f64 d a)))))
(log.f64 (*.f64 (exp.f64 c) (*.f64 (exp.f64 d) (exp.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 c)) (*.f64 (exp.f64 d) (exp.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 c)) (exp.f64 (+.f64 d a))))
(log.f64 (*.f64 (exp.f64 (+.f64 c d)) (+.f64 1 (expm1.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 c d))) (exp.f64 a)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 c d))) (+.f64 1 (expm1.f64 a))))
(log.f64 (*.f64 (exp.f64 a) (+.f64 1 (expm1.f64 (+.f64 c d)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (exp.f64 (+.f64 c d))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (+.f64 1 (expm1.f64 (+.f64 c d)))))
(log.f64 (*.f64 (*.f64 (exp.f64 d) (exp.f64 a)) (exp.f64 c)))
(log.f64 (*.f64 (*.f64 (exp.f64 d) (exp.f64 a)) (+.f64 1 (expm1.f64 c))))
(log.f64 (*.f64 (exp.f64 (+.f64 d a)) (exp.f64 c)))
(log.f64 (*.f64 (exp.f64 (+.f64 d a)) (+.f64 1 (expm1.f64 c))))
(cbrt.f64 (pow.f64 (+.f64 c (+.f64 d a)) 3))
(expm1.f64 (log1p.f64 (+.f64 c (+.f64 d a))))
(log1p.f64 (expm1.f64 (+.f64 c (+.f64 d a))))
(exp.f64 (log.f64 (+.f64 c (+.f64 d a))))
(exp.f64 (*.f64 (log.f64 (+.f64 c (+.f64 d a))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 c (+.f64 d a)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 c (+.f64 d a)))) 2))
(fma.f64 c 1 (+.f64 d a))
(fma.f64 c 1 (*.f64 (+.f64 d a) 1))
(fma.f64 d 1 (+.f64 c a))
(fma.f64 (+.f64 c d) 1 a)
(fma.f64 a 1 (+.f64 c d))
(fma.f64 1 c (+.f64 d a))
(fma.f64 1 c (*.f64 (+.f64 d a) 1))
(fma.f64 1 d (+.f64 c a))
(fma.f64 1 (+.f64 c d) a)
(fma.f64 1 a (+.f64 c d))
(fma.f64 1 (+.f64 d a) c)
(fma.f64 (cbrt.f64 (+.f64 c d)) (pow.f64 (cbrt.f64 (+.f64 c d)) 2) a)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 c d)) 2) (cbrt.f64 (+.f64 c d)) a)
(fma.f64 (cbrt.f64 c) (pow.f64 (cbrt.f64 c) 2) (+.f64 d a))
(fma.f64 (cbrt.f64 c) (pow.f64 (cbrt.f64 c) 2) (*.f64 (+.f64 d a) 1))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c) (+.f64 d a))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c) (*.f64 (+.f64 d a) 1))
(fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (+.f64 c d))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 c d))
(fma.f64 (cbrt.f64 d) (pow.f64 (cbrt.f64 d) 2) (+.f64 c a))
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (cbrt.f64 d) (+.f64 c a))
(fma.f64 (sqrt.f64 (+.f64 c d)) (sqrt.f64 (+.f64 c d)) a)
(fma.f64 (sqrt.f64 c) (sqrt.f64 c) (+.f64 d a))
(fma.f64 (sqrt.f64 c) (sqrt.f64 c) (*.f64 (+.f64 d a) 1))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 c d))
(fma.f64 (sqrt.f64 d) (sqrt.f64 d) (+.f64 c a))
(fma.f64 (+.f64 (pow.f64 c 3) (pow.f64 d 3)) (/.f64 1 (fma.f64 d (-.f64 d c) (pow.f64 c 2))) a)
(fma.f64 (-.f64 (pow.f64 c 2) (pow.f64 d 2)) (/.f64 1 (-.f64 c d)) a)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 d a)) (cbrt.f64 (+.f64 d a))) (cbrt.f64 (+.f64 d a)) c)
(fma.f64 (sqrt.f64 (+.f64 d a)) (sqrt.f64 (+.f64 d a)) c)

simplify117.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
1604×fma-neg
1188×distribute-lft-in
1172×distribute-rgt-in
818×fma-define
642×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02834572
16454530
217194463
375734463
Stop Event
1×node limit
Counts
132 → 145
Calls
Call 1
Inputs
(+.f64 a d)
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
c
(*.f64 c (+.f64 1 (+.f64 (/.f64 a c) (/.f64 d c))))
(*.f64 c (+.f64 1 (+.f64 (/.f64 a c) (/.f64 d c))))
(*.f64 c (+.f64 1 (+.f64 (/.f64 a c) (/.f64 d c))))
c
(*.f64 -1 (*.f64 c (-.f64 (*.f64 -1 (/.f64 (+.f64 a d) c)) 1)))
(*.f64 -1 (*.f64 c (-.f64 (*.f64 -1 (/.f64 (+.f64 a d) c)) 1)))
(*.f64 -1 (*.f64 c (-.f64 (*.f64 -1 (/.f64 (+.f64 a d) c)) 1)))
(+.f64 a c)
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
d
(*.f64 d (+.f64 1 (+.f64 (/.f64 a d) (/.f64 c d))))
(*.f64 d (+.f64 1 (+.f64 (/.f64 a d) (/.f64 c d))))
(*.f64 d (+.f64 1 (+.f64 (/.f64 a d) (/.f64 c d))))
d
(*.f64 -1 (*.f64 d (-.f64 (*.f64 -1 (/.f64 (+.f64 a c) d)) 1)))
(*.f64 -1 (*.f64 d (-.f64 (*.f64 -1 (/.f64 (+.f64 a c) d)) 1)))
(*.f64 -1 (*.f64 d (-.f64 (*.f64 -1 (/.f64 (+.f64 a c) d)) 1)))
(+.f64 c d)
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 c d))
a
(*.f64 a (+.f64 1 (+.f64 (/.f64 c a) (/.f64 d a))))
(*.f64 a (+.f64 1 (+.f64 (/.f64 c a) (/.f64 d a))))
(*.f64 a (+.f64 1 (+.f64 (/.f64 c a) (/.f64 d a))))
a
(*.f64 -1 (*.f64 a (-.f64 (*.f64 -1 (/.f64 (+.f64 c d) a)) 1)))
(*.f64 -1 (*.f64 a (-.f64 (*.f64 -1 (/.f64 (+.f64 c d) a)) 1)))
(*.f64 -1 (*.f64 a (-.f64 (*.f64 -1 (/.f64 (+.f64 c d) a)) 1)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 c (+.f64 d a)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 c d) 2) (+.f64 c (-.f64 d a))) (/.f64 (pow.f64 a 2) (+.f64 c (-.f64 d a))))
(*.f64 (+.f64 c (+.f64 d a)) 1)
(*.f64 (+.f64 c (+.f64 d a)) (log.f64 (exp.f64 1)))
(*.f64 1 (+.f64 c (+.f64 d a)))
(*.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 2))
(*.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) (pow.f64 (pow.f64 (+.f64 c (+.f64 d a)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 2) (cbrt.f64 (+.f64 c (+.f64 d a))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 c (+.f64 d a)))) 2))
(*.f64 (sqrt.f64 (+.f64 c (+.f64 d a))) (sqrt.f64 (+.f64 c (+.f64 d a))))
(*.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 a (-.f64 a (+.f64 c d)) (pow.f64 (+.f64 c d) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3)) (pow.f64 (/.f64 1 (fma.f64 a (-.f64 a (+.f64 c d)) (pow.f64 (+.f64 c d) 2))) 1))
(*.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 a 2)) (/.f64 1 (+.f64 c (-.f64 d a))))
(*.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (+.f64 c (-.f64 d a))) 1))
(*.f64 (pow.f64 1 1/3) (+.f64 c (+.f64 d a)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 c (+.f64 d a)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 c (+.f64 d a)))) 3))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) (cbrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) 3))
(*.f64 (pow.f64 (pow.f64 (+.f64 c (+.f64 d a)) 2) 1/3) (cbrt.f64 (+.f64 c (+.f64 d a))))
(*.f64 (pow.f64 (*.f64 (+.f64 c (+.f64 d a)) (sqrt.f64 (+.f64 c (+.f64 d a)))) 1/3) (pow.f64 (*.f64 (+.f64 c (+.f64 d a)) (sqrt.f64 (+.f64 c (+.f64 d a)))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 c (+.f64 d a)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 c (+.f64 d a)) 3)) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 c (+.f64 d a)) 2) (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 2)) 1/3) (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 1/3))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 c (+.f64 d a)) 2) (sqrt.f64 (+.f64 c (+.f64 d a)))) 1/3) (pow.f64 (sqrt.f64 (+.f64 c (+.f64 d a))) 1/3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) 2))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 c (+.f64 d a)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 c (+.f64 d a)))) 2))
(/.f64 1 (/.f64 (fma.f64 a (-.f64 a (+.f64 c d)) (pow.f64 (+.f64 c d) 2)) (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3))))
(/.f64 1 (/.f64 (+.f64 c (-.f64 d a)) (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 a 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3)) (fma.f64 a (-.f64 a (+.f64 c d)) (pow.f64 (+.f64 c d) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3)) (fma.f64 a a (-.f64 (pow.f64 (+.f64 c d) 2) (*.f64 (+.f64 c d) a))))
(/.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 a 2)) (+.f64 c (-.f64 d a)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3))) (neg.f64 (fma.f64 a (-.f64 a (+.f64 c d)) (pow.f64 (+.f64 c d) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 a 2))) (neg.f64 (+.f64 c (-.f64 d a))))
(/.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 d a) 3)) (fma.f64 c c (-.f64 (*.f64 (+.f64 d a) (+.f64 d a)) (*.f64 c (+.f64 d a)))))
(/.f64 (-.f64 (pow.f64 c 2) (*.f64 (+.f64 d a) (+.f64 d a))) (-.f64 c (+.f64 d a)))
(/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (+.f64 c d) 2)) (-.f64 a (+.f64 c d)))
(pow.f64 (+.f64 c (+.f64 d a)) 1)
(pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 3)
(pow.f64 (pow.f64 (+.f64 c (+.f64 d a)) 3) 1/3)
(pow.f64 (sqrt.f64 (+.f64 c (+.f64 d a))) 2)
(pow.f64 (/.f64 (fma.f64 a (-.f64 a (+.f64 c d)) (pow.f64 (+.f64 c d) 2)) (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3))) -1)
(pow.f64 (/.f64 (+.f64 c (-.f64 d a)) (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 a 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 c (+.f64 d a)) 2))
(log.f64 (exp.f64 (+.f64 c (+.f64 d a))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 c (+.f64 d a)))))
(log.f64 (*.f64 (exp.f64 c) (*.f64 (exp.f64 d) (exp.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 c)) (*.f64 (exp.f64 d) (exp.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 c)) (exp.f64 (+.f64 d a))))
(log.f64 (*.f64 (exp.f64 (+.f64 c d)) (+.f64 1 (expm1.f64 a))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 c d))) (exp.f64 a)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 c d))) (+.f64 1 (expm1.f64 a))))
(log.f64 (*.f64 (exp.f64 a) (+.f64 1 (expm1.f64 (+.f64 c d)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (exp.f64 (+.f64 c d))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (+.f64 1 (expm1.f64 (+.f64 c d)))))
(log.f64 (*.f64 (*.f64 (exp.f64 d) (exp.f64 a)) (exp.f64 c)))
(log.f64 (*.f64 (*.f64 (exp.f64 d) (exp.f64 a)) (+.f64 1 (expm1.f64 c))))
(log.f64 (*.f64 (exp.f64 (+.f64 d a)) (exp.f64 c)))
(log.f64 (*.f64 (exp.f64 (+.f64 d a)) (+.f64 1 (expm1.f64 c))))
(cbrt.f64 (pow.f64 (+.f64 c (+.f64 d a)) 3))
(expm1.f64 (log1p.f64 (+.f64 c (+.f64 d a))))
(log1p.f64 (expm1.f64 (+.f64 c (+.f64 d a))))
(exp.f64 (log.f64 (+.f64 c (+.f64 d a))))
(exp.f64 (*.f64 (log.f64 (+.f64 c (+.f64 d a))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 c (+.f64 d a)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 c (+.f64 d a)))) 2))
(fma.f64 c 1 (+.f64 d a))
(fma.f64 c 1 (*.f64 (+.f64 d a) 1))
(fma.f64 d 1 (+.f64 c a))
(fma.f64 (+.f64 c d) 1 a)
(fma.f64 a 1 (+.f64 c d))
(fma.f64 1 c (+.f64 d a))
(fma.f64 1 c (*.f64 (+.f64 d a) 1))
(fma.f64 1 d (+.f64 c a))
(fma.f64 1 (+.f64 c d) a)
(fma.f64 1 a (+.f64 c d))
(fma.f64 1 (+.f64 d a) c)
(fma.f64 (cbrt.f64 (+.f64 c d)) (pow.f64 (cbrt.f64 (+.f64 c d)) 2) a)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 c d)) 2) (cbrt.f64 (+.f64 c d)) a)
(fma.f64 (cbrt.f64 c) (pow.f64 (cbrt.f64 c) 2) (+.f64 d a))
(fma.f64 (cbrt.f64 c) (pow.f64 (cbrt.f64 c) 2) (*.f64 (+.f64 d a) 1))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c) (+.f64 d a))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c) (*.f64 (+.f64 d a) 1))
(fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (+.f64 c d))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 c d))
(fma.f64 (cbrt.f64 d) (pow.f64 (cbrt.f64 d) 2) (+.f64 c a))
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (cbrt.f64 d) (+.f64 c a))
(fma.f64 (sqrt.f64 (+.f64 c d)) (sqrt.f64 (+.f64 c d)) a)
(fma.f64 (sqrt.f64 c) (sqrt.f64 c) (+.f64 d a))
(fma.f64 (sqrt.f64 c) (sqrt.f64 c) (*.f64 (+.f64 d a) 1))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 c d))
(fma.f64 (sqrt.f64 d) (sqrt.f64 d) (+.f64 c a))
(fma.f64 (+.f64 (pow.f64 c 3) (pow.f64 d 3)) (/.f64 1 (fma.f64 d (-.f64 d c) (pow.f64 c 2))) a)
(fma.f64 (-.f64 (pow.f64 c 2) (pow.f64 d 2)) (/.f64 1 (-.f64 c d)) a)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 d a)) (cbrt.f64 (+.f64 d a))) (cbrt.f64 (+.f64 d a)) c)
(fma.f64 (sqrt.f64 (+.f64 d a)) (sqrt.f64 (+.f64 d a)) c)
Outputs
(+.f64 a d)
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 d c))
c
(*.f64 c (+.f64 1 (+.f64 (/.f64 a c) (/.f64 d c))))
(fma.f64 c (+.f64 (/.f64 a c) (/.f64 d c)) c)
(*.f64 c (+.f64 1 (+.f64 (/.f64 a c) (/.f64 d c))))
(fma.f64 c (+.f64 (/.f64 a c) (/.f64 d c)) c)
(*.f64 c (+.f64 1 (+.f64 (/.f64 a c) (/.f64 d c))))
(fma.f64 c (+.f64 (/.f64 a c) (/.f64 d c)) c)
c
(*.f64 -1 (*.f64 c (-.f64 (*.f64 -1 (/.f64 (+.f64 a d) c)) 1)))
(neg.f64 (*.f64 c (fma.f64 -1 (/.f64 (+.f64 a d) c) -1)))
(*.f64 (fma.f64 -1 (/.f64 (+.f64 a d) c) -1) (neg.f64 c))
(*.f64 (-.f64 -1 (/.f64 (+.f64 a d) c)) (neg.f64 c))
(*.f64 -1 (*.f64 c (-.f64 (*.f64 -1 (/.f64 (+.f64 a d) c)) 1)))
(neg.f64 (*.f64 c (fma.f64 -1 (/.f64 (+.f64 a d) c) -1)))
(*.f64 (fma.f64 -1 (/.f64 (+.f64 a d) c) -1) (neg.f64 c))
(*.f64 (-.f64 -1 (/.f64 (+.f64 a d) c)) (neg.f64 c))
(*.f64 -1 (*.f64 c (-.f64 (*.f64 -1 (/.f64 (+.f64 a d) c)) 1)))
(neg.f64 (*.f64 c (fma.f64 -1 (/.f64 (+.f64 a d) c) -1)))
(*.f64 (fma.f64 -1 (/.f64 (+.f64 a d) c) -1) (neg.f64 c))
(*.f64 (-.f64 -1 (/.f64 (+.f64 a d) c)) (neg.f64 c))
(+.f64 a c)
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 d c))
d
(*.f64 d (+.f64 1 (+.f64 (/.f64 a d) (/.f64 c d))))
(fma.f64 d (+.f64 (/.f64 a d) (/.f64 c d)) d)
(*.f64 d (+.f64 1 (+.f64 (/.f64 a d) (/.f64 c d))))
(fma.f64 d (+.f64 (/.f64 a d) (/.f64 c d)) d)
(*.f64 d (+.f64 1 (+.f64 (/.f64 a d) (/.f64 c d))))
(fma.f64 d (+.f64 (/.f64 a d) (/.f64 c d)) d)
d
(*.f64 -1 (*.f64 d (-.f64 (*.f64 -1 (/.f64 (+.f64 a c) d)) 1)))
(neg.f64 (*.f64 d (fma.f64 -1 (/.f64 (+.f64 a c) d) -1)))
(*.f64 (fma.f64 -1 (/.f64 (+.f64 a c) d) -1) (neg.f64 d))
(*.f64 (-.f64 -1 (/.f64 (+.f64 a c) d)) (neg.f64 d))
(*.f64 -1 (*.f64 d (-.f64 (*.f64 -1 (/.f64 (+.f64 a c) d)) 1)))
(neg.f64 (*.f64 d (fma.f64 -1 (/.f64 (+.f64 a c) d) -1)))
(*.f64 (fma.f64 -1 (/.f64 (+.f64 a c) d) -1) (neg.f64 d))
(*.f64 (-.f64 -1 (/.f64 (+.f64 a c) d)) (neg.f64 d))
(*.f64 -1 (*.f64 d (-.f64 (*.f64 -1 (/.f64 (+.f64 a c) d)) 1)))
(neg.f64 (*.f64 d (fma.f64 -1 (/.f64 (+.f64 a c) d) -1)))
(*.f64 (fma.f64 -1 (/.f64 (+.f64 a c) d) -1) (neg.f64 d))
(*.f64 (-.f64 -1 (/.f64 (+.f64 a c) d)) (neg.f64 d))
(+.f64 c d)
(+.f64 d c)
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 d c))
(+.f64 a (+.f64 c d))
(+.f64 a (+.f64 d c))
a
(*.f64 a (+.f64 1 (+.f64 (/.f64 c a) (/.f64 d a))))
(*.f64 a (+.f64 (/.f64 d a) (+.f64 1 (/.f64 c a))))
(fma.f64 a (+.f64 (/.f64 c a) (/.f64 d a)) a)
(*.f64 a (+.f64 1 (+.f64 (/.f64 c a) (/.f64 d a))))
(*.f64 a (+.f64 (/.f64 d a) (+.f64 1 (/.f64 c a))))
(fma.f64 a (+.f64 (/.f64 c a) (/.f64 d a)) a)
(*.f64 a (+.f64 1 (+.f64 (/.f64 c a) (/.f64 d a))))
(*.f64 a (+.f64 (/.f64 d a) (+.f64 1 (/.f64 c a))))
(fma.f64 a (+.f64 (/.f64 c a) (/.f64 d a)) a)
a
(*.f64 -1 (*.f64 a (-.f64 (*.f64 -1 (/.f64 (+.f64 c d) a)) 1)))
(neg.f64 (*.f64 a (fma.f64 -1 (/.f64 (+.f64 d c) a) -1)))
(*.f64 (fma.f64 -1 (/.f64 (+.f64 d c) a) -1) (neg.f64 a))
(*.f64 (-.f64 -1 (/.f64 (+.f64 d c) a)) (neg.f64 a))
(*.f64 -1 (*.f64 a (-.f64 (*.f64 -1 (/.f64 (+.f64 c d) a)) 1)))
(neg.f64 (*.f64 a (fma.f64 -1 (/.f64 (+.f64 d c) a) -1)))
(*.f64 (fma.f64 -1 (/.f64 (+.f64 d c) a) -1) (neg.f64 a))
(*.f64 (-.f64 -1 (/.f64 (+.f64 d c) a)) (neg.f64 a))
(*.f64 -1 (*.f64 a (-.f64 (*.f64 -1 (/.f64 (+.f64 c d) a)) 1)))
(neg.f64 (*.f64 a (fma.f64 -1 (/.f64 (+.f64 d c) a) -1)))
(*.f64 (fma.f64 -1 (/.f64 (+.f64 d c) a) -1) (neg.f64 a))
(*.f64 (-.f64 -1 (/.f64 (+.f64 d c) a)) (neg.f64 a))
(-.f64 (exp.f64 (log1p.f64 (+.f64 c (+.f64 d a)))) 1)
(expm1.f64 (log1p.f64 (+.f64 a (+.f64 d c))))
(+.f64 (+.f64 a (+.f64 d c)) 0)
(-.f64 (/.f64 (pow.f64 (+.f64 c d) 2) (+.f64 c (-.f64 d a))) (/.f64 (pow.f64 a 2) (+.f64 c (-.f64 d a))))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (pow.f64 a 2)) (+.f64 c (-.f64 d a)))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (pow.f64 a 2)) (-.f64 (+.f64 d c) a))
(*.f64 (+.f64 c (+.f64 d a)) 1)
(+.f64 a (+.f64 d c))
(*.f64 (+.f64 c (+.f64 d a)) (log.f64 (exp.f64 1)))
(+.f64 a (+.f64 d c))
(*.f64 1 (+.f64 c (+.f64 d a)))
(+.f64 a (+.f64 d c))
(*.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 2))
(+.f64 a (+.f64 d c))
(*.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) (pow.f64 (pow.f64 (+.f64 c (+.f64 d a)) 2) 1/3))
(*.f64 (cbrt.f64 (+.f64 a (+.f64 d c))) (cbrt.f64 (pow.f64 (+.f64 a (+.f64 d c)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 2) (cbrt.f64 (+.f64 c (+.f64 d a))))
(+.f64 a (+.f64 d c))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 c (+.f64 d a)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 a (+.f64 d c))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 a (+.f64 d c)))) 2))
(*.f64 (sqrt.f64 (+.f64 c (+.f64 d a))) (sqrt.f64 (+.f64 c (+.f64 d a))))
(+.f64 a (+.f64 d c))
(*.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 a (-.f64 a (+.f64 c d)) (pow.f64 (+.f64 c d) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 d c) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 a (-.f64 a (+.f64 d c)) (pow.f64 (+.f64 d c) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 d c) 3) (pow.f64 a 3)) (fma.f64 a (-.f64 a (+.f64 d c)) (pow.f64 (+.f64 d c) 2)))
(*.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3)) (pow.f64 (/.f64 1 (fma.f64 a (-.f64 a (+.f64 c d)) (pow.f64 (+.f64 c d) 2))) 1))
(*.f64 (+.f64 (pow.f64 (+.f64 d c) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 a (-.f64 a (+.f64 d c)) (pow.f64 (+.f64 d c) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 d c) 3) (pow.f64 a 3)) (fma.f64 a (-.f64 a (+.f64 d c)) (pow.f64 (+.f64 d c) 2)))
(*.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 a 2)) (/.f64 1 (+.f64 c (-.f64 d a))))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (pow.f64 a 2)) (+.f64 c (-.f64 d a)))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (pow.f64 a 2)) (-.f64 (+.f64 d c) a))
(*.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 a 2)) (pow.f64 (/.f64 1 (+.f64 c (-.f64 d a))) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (pow.f64 a 2)) (+.f64 c (-.f64 d a)))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (pow.f64 a 2)) (-.f64 (+.f64 d c) a))
(*.f64 (pow.f64 1 1/3) (+.f64 c (+.f64 d a)))
(+.f64 a (+.f64 d c))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 2)) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) 3))
(+.f64 a (+.f64 d c))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 c (+.f64 d a)))) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 c (+.f64 d a)))) 3))
(+.f64 a (+.f64 d c))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) (cbrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a))))) 3) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) 3))
(+.f64 a (+.f64 d c))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) 3))
(+.f64 a (+.f64 d c))
(*.f64 (pow.f64 (pow.f64 (+.f64 c (+.f64 d a)) 2) 1/3) (cbrt.f64 (+.f64 c (+.f64 d a))))
(*.f64 (cbrt.f64 (+.f64 a (+.f64 d c))) (cbrt.f64 (pow.f64 (+.f64 a (+.f64 d c)) 2)))
(*.f64 (pow.f64 (*.f64 (+.f64 c (+.f64 d a)) (sqrt.f64 (+.f64 c (+.f64 d a)))) 1/3) (pow.f64 (*.f64 (+.f64 c (+.f64 d a)) (sqrt.f64 (+.f64 c (+.f64 d a)))) 1/3))
(+.f64 a (+.f64 d c))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (+.f64 c (+.f64 d a)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (+.f64 c (+.f64 d a)) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 a (+.f64 d c)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (+.f64 a (+.f64 d c)) 3))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 c (+.f64 d a)) 2) (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 2)) 1/3) (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 a (+.f64 d c)))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 a (+.f64 d c))) 2) (pow.f64 (+.f64 a (+.f64 d c)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 a (+.f64 d c)))) (cbrt.f64 (*.f64 (cbrt.f64 (+.f64 a (+.f64 d c))) (pow.f64 (cbrt.f64 (+.f64 a (+.f64 d c))) 7))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 c (+.f64 d a)) 2) (sqrt.f64 (+.f64 c (+.f64 d a)))) 1/3) (pow.f64 (sqrt.f64 (+.f64 c (+.f64 d a))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a (+.f64 d c)))) (cbrt.f64 (*.f64 (pow.f64 (+.f64 a (+.f64 d c)) 2) (sqrt.f64 (+.f64 a (+.f64 d c))))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a (+.f64 d c)))) (cbrt.f64 (*.f64 (+.f64 a (+.f64 d c)) (pow.f64 (sqrt.f64 (+.f64 a (+.f64 d c))) 3))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 a (+.f64 d c)))) (cbrt.f64 (pow.f64 (sqrt.f64 (+.f64 a (+.f64 d c))) 5)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 2)) 2) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) 2))
(+.f64 a (+.f64 d c))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 c (+.f64 d a)))) 2) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 c (+.f64 d a)))) 2))
(+.f64 a (+.f64 d c))
(/.f64 1 (/.f64 (fma.f64 a (-.f64 a (+.f64 c d)) (pow.f64 (+.f64 c d) 2)) (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3))))
(*.f64 (+.f64 (pow.f64 (+.f64 d c) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 a (-.f64 a (+.f64 d c)) (pow.f64 (+.f64 d c) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 d c) 3) (pow.f64 a 3)) (fma.f64 a (-.f64 a (+.f64 d c)) (pow.f64 (+.f64 d c) 2)))
(/.f64 1 (/.f64 (+.f64 c (-.f64 d a)) (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 a 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (pow.f64 a 2)) (+.f64 c (-.f64 d a)))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (pow.f64 a 2)) (-.f64 (+.f64 d c) a))
(/.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3)) (fma.f64 a (-.f64 a (+.f64 c d)) (pow.f64 (+.f64 c d) 2)))
(*.f64 (+.f64 (pow.f64 (+.f64 d c) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 a (-.f64 a (+.f64 d c)) (pow.f64 (+.f64 d c) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 d c) 3) (pow.f64 a 3)) (fma.f64 a (-.f64 a (+.f64 d c)) (pow.f64 (+.f64 d c) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3)) (fma.f64 a a (-.f64 (pow.f64 (+.f64 c d) 2) (*.f64 (+.f64 c d) a))))
(*.f64 (+.f64 (pow.f64 (+.f64 d c) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 a (-.f64 a (+.f64 d c)) (pow.f64 (+.f64 d c) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 d c) 3) (pow.f64 a 3)) (fma.f64 a (-.f64 a (+.f64 d c)) (pow.f64 (+.f64 d c) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 a 2)) (+.f64 c (-.f64 d a)))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (pow.f64 a 2)) (+.f64 c (-.f64 d a)))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (pow.f64 a 2)) (-.f64 (+.f64 d c) a))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3))) (neg.f64 (fma.f64 a (-.f64 a (+.f64 c d)) (pow.f64 (+.f64 c d) 2))))
(*.f64 (+.f64 (pow.f64 (+.f64 d c) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 a (-.f64 a (+.f64 d c)) (pow.f64 (+.f64 d c) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 d c) 3) (pow.f64 a 3)) (fma.f64 a (-.f64 a (+.f64 d c)) (pow.f64 (+.f64 d c) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 a 2))) (neg.f64 (+.f64 c (-.f64 d a))))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (pow.f64 a 2)) (+.f64 c (-.f64 d a)))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (pow.f64 a 2)) (-.f64 (+.f64 d c) a))
(/.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 d a) 3)) (fma.f64 c c (-.f64 (*.f64 (+.f64 d a) (+.f64 d a)) (*.f64 c (+.f64 d a)))))
(/.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 a d) 3)) (fma.f64 c c (*.f64 (+.f64 a d) (-.f64 (+.f64 a d) c))))
(/.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 a d) 3)) (fma.f64 c c (*.f64 (+.f64 a d) (+.f64 a (-.f64 d c)))))
(/.f64 (+.f64 (pow.f64 c 3) (pow.f64 (+.f64 a d) 3)) (fma.f64 (+.f64 a d) (+.f64 a (-.f64 d c)) (pow.f64 c 2)))
(/.f64 (-.f64 (pow.f64 c 2) (*.f64 (+.f64 d a) (+.f64 d a))) (-.f64 c (+.f64 d a)))
(/.f64 (-.f64 (pow.f64 c 2) (*.f64 (+.f64 a d) (+.f64 a d))) (-.f64 c (+.f64 a d)))
(/.f64 (fma.f64 (+.f64 a d) (-.f64 (neg.f64 d) a) (pow.f64 c 2)) (-.f64 c (+.f64 a d)))
(/.f64 (-.f64 (pow.f64 a 2) (pow.f64 (+.f64 c d) 2)) (-.f64 a (+.f64 c d)))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (pow.f64 a 2)) (+.f64 c (-.f64 d a)))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (pow.f64 a 2)) (-.f64 (+.f64 d c) a))
(pow.f64 (+.f64 c (+.f64 d a)) 1)
(+.f64 a (+.f64 d c))
(pow.f64 (cbrt.f64 (+.f64 c (+.f64 d a))) 3)
(+.f64 a (+.f64 d c))
(pow.f64 (pow.f64 (+.f64 c (+.f64 d a)) 3) 1/3)
(+.f64 a (+.f64 d c))
(pow.f64 (sqrt.f64 (+.f64 c (+.f64 d a))) 2)
(+.f64 a (+.f64 d c))
(pow.f64 (/.f64 (fma.f64 a (-.f64 a (+.f64 c d)) (pow.f64 (+.f64 c d) 2)) (+.f64 (pow.f64 (+.f64 c d) 3) (pow.f64 a 3))) -1)
(*.f64 (+.f64 (pow.f64 (+.f64 d c) 3) (pow.f64 a 3)) (/.f64 1 (fma.f64 a (-.f64 a (+.f64 d c)) (pow.f64 (+.f64 d c) 2))))
(/.f64 (+.f64 (pow.f64 (+.f64 d c) 3) (pow.f64 a 3)) (fma.f64 a (-.f64 a (+.f64 d c)) (pow.f64 (+.f64 d c) 2)))
(pow.f64 (/.f64 (+.f64 c (-.f64 d a)) (-.f64 (pow.f64 (+.f64 c d) 2) (pow.f64 a 2))) -1)
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (pow.f64 a 2)) (+.f64 c (-.f64 d a)))
(/.f64 (-.f64 (pow.f64 (+.f64 d c) 2) (pow.f64 a 2)) (-.f64 (+.f64 d c) a))
(sqrt.f64 (pow.f64 (+.f64 c (+.f64 d a)) 2))
(+.f64 a (+.f64 d c))
(log.f64 (exp.f64 (+.f64 c (+.f64 d a))))
(+.f64 a (+.f64 d c))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 c (+.f64 d a)))))
(+.f64 a (+.f64 d c))
(log.f64 (*.f64 (exp.f64 c) (*.f64 (exp.f64 d) (exp.f64 a))))
(+.f64 a (+.f64 d c))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 c)) (*.f64 (exp.f64 d) (exp.f64 a))))
(+.f64 a (+.f64 d c))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 c)) (exp.f64 (+.f64 d a))))
(+.f64 a (+.f64 d c))
(log.f64 (*.f64 (exp.f64 (+.f64 c d)) (+.f64 1 (expm1.f64 a))))
(+.f64 a (+.f64 d c))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 c d))) (exp.f64 a)))
(+.f64 a (+.f64 d c))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 c d))) (+.f64 1 (expm1.f64 a))))
(+.f64 a (+.f64 d c))
(log.f64 (*.f64 (exp.f64 a) (+.f64 1 (expm1.f64 (+.f64 c d)))))
(+.f64 a (+.f64 d c))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (exp.f64 (+.f64 c d))))
(+.f64 a (+.f64 d c))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 a)) (+.f64 1 (expm1.f64 (+.f64 c d)))))
(+.f64 a (+.f64 d c))
(log.f64 (*.f64 (*.f64 (exp.f64 d) (exp.f64 a)) (exp.f64 c)))
(+.f64 a (+.f64 d c))
(log.f64 (*.f64 (*.f64 (exp.f64 d) (exp.f64 a)) (+.f64 1 (expm1.f64 c))))
(+.f64 a (+.f64 d c))
(log.f64 (*.f64 (exp.f64 (+.f64 d a)) (exp.f64 c)))
(+.f64 a (+.f64 d c))
(log.f64 (*.f64 (exp.f64 (+.f64 d a)) (+.f64 1 (expm1.f64 c))))
(+.f64 a (+.f64 d c))
(cbrt.f64 (pow.f64 (+.f64 c (+.f64 d a)) 3))
(+.f64 a (+.f64 d c))
(expm1.f64 (log1p.f64 (+.f64 c (+.f64 d a))))
(expm1.f64 (log1p.f64 (+.f64 a (+.f64 d c))))
(+.f64 (+.f64 a (+.f64 d c)) 0)
(log1p.f64 (expm1.f64 (+.f64 c (+.f64 d a))))
(+.f64 a (+.f64 d c))
(exp.f64 (log.f64 (+.f64 c (+.f64 d a))))
(+.f64 a (+.f64 d c))
(exp.f64 (*.f64 (log.f64 (+.f64 c (+.f64 d a))) 1))
(+.f64 a (+.f64 d c))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 c (+.f64 d a)))) 3))
(+.f64 a (+.f64 d c))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (+.f64 c (+.f64 d a)))) 1/3))
(+.f64 a (+.f64 d c))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 c (+.f64 d a)))) 2))
(+.f64 a (+.f64 d c))
(fma.f64 c 1 (+.f64 d a))
(+.f64 a (+.f64 d c))
(fma.f64 c 1 (*.f64 (+.f64 d a) 1))
(+.f64 a (+.f64 d c))
(fma.f64 d 1 (+.f64 c a))
(+.f64 a (+.f64 d c))
(fma.f64 (+.f64 c d) 1 a)
(+.f64 a (+.f64 d c))
(fma.f64 a 1 (+.f64 c d))
(+.f64 a (+.f64 d c))
(fma.f64 1 c (+.f64 d a))
(+.f64 a (+.f64 d c))
(fma.f64 1 c (*.f64 (+.f64 d a) 1))
(+.f64 a (+.f64 d c))
(fma.f64 1 d (+.f64 c a))
(+.f64 a (+.f64 d c))
(fma.f64 1 (+.f64 c d) a)
(+.f64 a (+.f64 d c))
(fma.f64 1 a (+.f64 c d))
(+.f64 a (+.f64 d c))
(fma.f64 1 (+.f64 d a) c)
(+.f64 a (+.f64 d c))
(fma.f64 (cbrt.f64 (+.f64 c d)) (pow.f64 (cbrt.f64 (+.f64 c d)) 2) a)
(+.f64 a (+.f64 d c))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 c d)) 2) (cbrt.f64 (+.f64 c d)) a)
(+.f64 a (+.f64 d c))
(fma.f64 (cbrt.f64 c) (pow.f64 (cbrt.f64 c) 2) (+.f64 d a))
(+.f64 a (+.f64 d c))
(fma.f64 (cbrt.f64 c) (pow.f64 (cbrt.f64 c) 2) (*.f64 (+.f64 d a) 1))
(+.f64 a (+.f64 d c))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c) (+.f64 d a))
(+.f64 a (+.f64 d c))
(fma.f64 (pow.f64 (cbrt.f64 c) 2) (cbrt.f64 c) (*.f64 (+.f64 d a) 1))
(+.f64 a (+.f64 d c))
(fma.f64 (cbrt.f64 a) (pow.f64 (cbrt.f64 a) 2) (+.f64 c d))
(+.f64 a (+.f64 d c))
(fma.f64 (pow.f64 (cbrt.f64 a) 2) (cbrt.f64 a) (+.f64 c d))
(+.f64 a (+.f64 d c))
(fma.f64 (cbrt.f64 d) (pow.f64 (cbrt.f64 d) 2) (+.f64 c a))
(+.f64 a (+.f64 d c))
(fma.f64 (pow.f64 (cbrt.f64 d) 2) (cbrt.f64 d) (+.f64 c a))
(+.f64 a (+.f64 d c))
(fma.f64 (sqrt.f64 (+.f64 c d)) (sqrt.f64 (+.f64 c d)) a)
(+.f64 a (+.f64 d c))
(fma.f64 (sqrt.f64 c) (sqrt.f64 c) (+.f64 d a))
(+.f64 a (+.f64 d c))
(fma.f64 (sqrt.f64 c) (sqrt.f64 c) (*.f64 (+.f64 d a) 1))
(+.f64 a (+.f64 d c))
(fma.f64 (sqrt.f64 a) (sqrt.f64 a) (+.f64 c d))
(+.f64 a (+.f64 d c))
(fma.f64 (sqrt.f64 d) (sqrt.f64 d) (+.f64 c a))
(+.f64 a (+.f64 d c))
(fma.f64 (+.f64 (pow.f64 c 3) (pow.f64 d 3)) (/.f64 1 (fma.f64 d (-.f64 d c) (pow.f64 c 2))) a)
(+.f64 a (/.f64 (+.f64 (pow.f64 c 3) (pow.f64 d 3)) (fma.f64 d (-.f64 d c) (pow.f64 c 2))))
(fma.f64 (-.f64 (pow.f64 c 2) (pow.f64 d 2)) (/.f64 1 (-.f64 c d)) a)
(+.f64 a (/.f64 (-.f64 (pow.f64 c 2) (pow.f64 d 2)) (-.f64 c d)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 d a)) (cbrt.f64 (+.f64 d a))) (cbrt.f64 (+.f64 d a)) c)
(+.f64 a (+.f64 d c))
(fma.f64 (sqrt.f64 (+.f64 d a)) (sqrt.f64 (+.f64 d a)) c)
(+.f64 a (+.f64 d c))

eval36.0ms (0.7%)

Compiler

Compiled 2161 to 1007 computations (53.4% saved)

prune27.0ms (0.6%)

Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New1441145
Fresh000
Picked055
Done000
Total1446150
Accuracy
100.0%
Counts
150 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓11.7%
(*.f64 (+.f64 (+.f64 c d) a) 2)
✓100.0%
(*.f64 (+.f64 (+.f64 b c) (+.f64 d a)) 2)
✓11.7%
(*.f64 (+.f64 c (+.f64 d a)) 2)
▶8.8%
(*.f64 (+.f64 a d) 2)
✓11.6%
(*.f64 c 2)
✓6.2%
(*.f64 b 2)
Compiler

Compiled 58 to 44 computations (24.1% saved)

localize27.0ms (0.6%)

Compiler

Compiled 16 to 9 computations (43.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
Operation ival-add, time spent: 3.0ms, 51.0% of total-time
Operation ival-mult, time spent: 2.0ms, 34.0% of total-time
Operation const, time spent: 1.0ms, 17.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 4 to 4 computations (0% saved)

prune4.0ms (0.1%)

Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done055
Total066
Accuracy
100.0%
Counts
6 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓11.7%
(*.f64 (+.f64 (+.f64 c d) a) 2)
✓100.0%
(*.f64 (+.f64 (+.f64 b c) (+.f64 d a)) 2)
✓11.7%
(*.f64 (+.f64 c (+.f64 d a)) 2)
✓8.8%
(*.f64 (+.f64 a d) 2)
✓11.6%
(*.f64 c 2)
✓6.2%
(*.f64 b 2)
Compiler

Compiled 114 to 76 computations (33.3% saved)

regimes49.0ms (1%)

Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 b 2)
(*.f64 c 2)
(*.f64 (+.f64 a d) 2)
(*.f64 (+.f64 c (+.f64 d a)) 2)
(*.f64 (+.f64 (+.f64 c d) a) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 a (+.f64 c (+.f64 b d))) 2)
(*.f64 (+.f64 (+.f64 b c) (+.f64 d a)) 2)
Outputs
(*.f64 (+.f64 (+.f64 b c) (+.f64 d a)) 2)
Calls

8 calls:

6.0ms
d
6.0ms
(+.f64 c d)
6.0ms
(+.f64 b (+.f64 c d))
6.0ms
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
6.0ms
b
Results
AccuracySegmentsBranch
100.0%1a
100.0%1b
100.0%1c
100.0%1d
100.0%1(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
100.0%1(+.f64 a (+.f64 b (+.f64 c d)))
100.0%1(+.f64 b (+.f64 c d))
100.0%1(+.f64 c d)
Compiler

Compiled 60 to 43 computations (28.3% saved)

regimes47.0ms (1%)

Counts
7 → 1
Calls
Call 1
Inputs
(*.f64 b 2)
(*.f64 c 2)
(*.f64 (+.f64 a d) 2)
(*.f64 (+.f64 c (+.f64 d a)) 2)
(*.f64 (+.f64 (+.f64 c d) a) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 (+.f64 a (+.f64 c (+.f64 b d))) 2)
Outputs
(*.f64 (+.f64 a (+.f64 c (+.f64 b d))) 2)
Calls

8 calls:

6.0ms
(+.f64 a (+.f64 b (+.f64 c d)))
6.0ms
a
6.0ms
d
6.0ms
(+.f64 b (+.f64 c d))
6.0ms
b
Results
AccuracySegmentsBranch
95.1%1a
95.1%1b
95.1%1c
95.1%1d
95.1%1(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
95.1%1(+.f64 a (+.f64 b (+.f64 c d)))
95.1%1(+.f64 b (+.f64 c d))
95.1%1(+.f64 c d)
Compiler

Compiled 60 to 43 computations (28.3% saved)

regimes44.0ms (0.9%)

Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 b 2)
(*.f64 c 2)
(*.f64 (+.f64 a d) 2)
(*.f64 (+.f64 c (+.f64 d a)) 2)
(*.f64 (+.f64 (+.f64 c d) a) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
Outputs
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
Calls

8 calls:

6.0ms
a
6.0ms
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
6.0ms
b
6.0ms
(+.f64 b (+.f64 c d))
5.0ms
(+.f64 a (+.f64 b (+.f64 c d)))
Results
AccuracySegmentsBranch
94.0%1c
94.0%1a
94.0%1b
94.0%1d
94.0%1(+.f64 b (+.f64 c d))
94.0%1(+.f64 c d)
94.0%1(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
94.0%1(+.f64 a (+.f64 b (+.f64 c d)))
Compiler

Compiled 60 to 43 computations (28.3% saved)

regimes39.0ms (0.8%)

Counts
5 → 2
Calls
Call 1
Inputs
(*.f64 b 2)
(*.f64 c 2)
(*.f64 (+.f64 a d) 2)
(*.f64 (+.f64 c (+.f64 d a)) 2)
(*.f64 (+.f64 (+.f64 c d) a) 2)
Outputs
(*.f64 (+.f64 a d) 2)
(*.f64 (+.f64 c (+.f64 d a)) 2)
Calls

5 calls:

14.0ms
b
9.0ms
(+.f64 c d)
6.0ms
d
5.0ms
c
5.0ms
a
Results
AccuracySegmentsBranch
13.6%2b
11.7%1c
13.4%2(+.f64 c d)
11.7%1a
11.7%1d
Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes11.0ms (0.2%)

Counts
3 → 2
Calls
Call 1
Inputs
(*.f64 b 2)
(*.f64 c 2)
(*.f64 (+.f64 a d) 2)
Outputs
(*.f64 (+.f64 a d) 2)
(*.f64 c 2)
Calls

1 calls:

10.0ms
b
Results
AccuracySegmentsBranch
13.5%2b
Compiler

Compiled 5 to 4 computations (20% saved)

regimes14.0ms (0.3%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 b 2)
(*.f64 c 2)
Outputs
(*.f64 c 2)
Calls

4 calls:

4.0ms
d
3.0ms
c
3.0ms
a
3.0ms
b
Results
AccuracySegmentsBranch
11.6%1c
11.6%1d
11.6%1a
11.6%1b
Compiler

Compiled 20 to 16 computations (20% saved)

regimes12.0ms (0.3%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 b 2)
Outputs
(*.f64 b 2)
Calls

4 calls:

3.0ms
c
3.0ms
d
3.0ms
a
3.0ms
b
Results
AccuracySegmentsBranch
6.2%1a
6.2%1b
6.2%1d
6.2%1c
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-2.724063096066328
-2.717057876656003
Compiler

Compiled 20 to 15 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-2.724063096066328
-2.717057876656003
Compiler

Compiled 20 to 15 computations (25% saved)

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
20×+-commutative
14×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037231
154231
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 (+.f64 b c) (+.f64 d a)) 2)
(*.f64 (+.f64 a (+.f64 c (+.f64 b d))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(if (<=.f64 b -6124895493223875/2251799813685248) (*.f64 (+.f64 a d) 2) (*.f64 (+.f64 c (+.f64 d a)) 2))
(if (<=.f64 b -6124895493223875/2251799813685248) (*.f64 (+.f64 a d) 2) (*.f64 c 2))
(*.f64 c 2)
(*.f64 b 2)
Outputs
(*.f64 (+.f64 (+.f64 b c) (+.f64 d a)) 2)
(*.f64 (+.f64 a (+.f64 c (+.f64 b d))) 2)
(*.f64 2 (+.f64 a (+.f64 c (+.f64 b d))))
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) 2)
(*.f64 2 (+.f64 a (+.f64 b (+.f64 c d))))
(if (<=.f64 b -6124895493223875/2251799813685248) (*.f64 (+.f64 a d) 2) (*.f64 (+.f64 c (+.f64 d a)) 2))
(if (<=.f64 b -6124895493223875/2251799813685248) (*.f64 (+.f64 d a) 2) (*.f64 2 (+.f64 c (+.f64 d a))))
(if (<=.f64 b -6124895493223875/2251799813685248) (*.f64 (+.f64 a d) 2) (*.f64 c 2))
(if (<=.f64 b -6124895493223875/2251799813685248) (*.f64 (+.f64 d a) 2) (*.f64 c 2))
(*.f64 c 2)
(*.f64 b 2)
Compiler

Compiled 89 to 64 computations (28.1% saved)

soundness330.0ms (6.9%)

Rules
1606×fma-define
1512×distribute-rgt-in
1494×times-frac
1432×distribute-lft-in
1392×unsub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061616
1159592
2465592
32135592
46380592
57507592
67923592
032915112
188714896
2305214748
Stop Event
1×node limit
1×node limit
Compiler

Compiled 123 to 70 computations (43.1% saved)

end0.0ms (0%)

preprocess74.0ms (1.6%)

Remove

(sort a b c d)

Compiler

Compiled 342 to 224 computations (34.5% saved)

Profiling

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