Expression, p6

Time bar (total: 6.6s)

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
100%0%0%100%0%0%0%1
Compiler

Compiled 41 to 33 computations (19.5% saved)

sample1.3s (19.9%)

Memory
-7.8MiB live, 2 258.8MiB allocated
Samples
800.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 471.0ms
ival-<=: 181.0ms (38.4% of total)
ival-add: 166.0ms (35.3% of total)
ival-mult: 50.0ms (10.6% of total)
ival-and: 40.0ms (8.5% of total)
exact: 31.0ms (6.6% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

preprocess252.0ms (3.8%)

Memory
38.4MiB live, 77.5MiB allocated
Algorithm
2×egg-herbie
Rules
1 512×distribute-rgt-in
1 444×unsub-neg
1 424×distribute-lft-in
1 262×associate--r+
958×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053141
1154135
2454135
32008135
45338135
56464135
66880135
77045135
87087135
97092135
107147135
117155135
127155135
137155135
147534135
157534135
167534135
099
1179
2539
31549
42819
52829
02829
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(* (+ a (+ b (+ c d))) 2)
Outputs
(* (+ a (+ b (+ c d))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
Call 2
Inputs
(* (+ a (+ b (+ c d))) 2)
(* (+ (neg a) (+ b (+ c d))) 2)
(* (+ a (+ (neg b) (+ c d))) 2)
(* (+ a (+ b (+ (neg c) d))) 2)
(* (+ a (+ b (+ c (neg d)))) 2)
(neg (* (+ (neg a) (+ b (+ c d))) 2))
(neg (* (+ a (+ (neg b) (+ c d))) 2))
(neg (* (+ a (+ b (+ (neg c) d))) 2))
(neg (* (+ a (+ b (+ c (neg d)))) 2))
(* (+ b (+ a (+ c d))) 2)
(* (+ c (+ b (+ a d))) 2)
(* (+ d (+ b (+ c a))) 2)
(* (+ a (+ c (+ b d))) 2)
(* (+ a (+ d (+ c b))) 2)
(* (+ a (+ b (+ d c))) 2)
Outputs
(* (+ a (+ b (+ c d))) 2)
(* 2 (+ a (+ b (+ c d))))
(* (+ (neg a) (+ b (+ c d))) 2)
(* 2 (+ b (+ c (- d a))))
(* (+ a (+ (neg b) (+ c d))) 2)
(* (- (- b (+ c d)) a) -2)
(* (+ a (+ b (+ (neg c) d))) 2)
(* 2 (+ a (+ b (- d c))))
(* (+ a (+ b (+ c (neg d)))) 2)
(* 2 (- (+ b (+ a c)) d))
(neg (* (+ (neg a) (+ b (+ c d))) 2))
(* 2 (- a (+ b (+ c d))))
(neg (* (+ a (+ (neg b) (+ c d))) 2))
(* 2 (- (- b (+ c d)) a))
(neg (* (+ a (+ b (+ (neg c) d))) 2))
(* 2 (- c (+ b (+ a d))))
(neg (* (+ a (+ b (+ c (neg d)))) 2))
(* 2 (- d (+ b (+ a c))))
(* (+ b (+ a (+ c d))) 2)
(* 2 (+ a (+ b (+ c d))))
(* (+ c (+ b (+ a d))) 2)
(* 2 (+ a (+ b (+ c d))))
(* (+ d (+ b (+ c a))) 2)
(* 2 (+ a (+ b (+ c d))))
(* (+ a (+ c (+ b d))) 2)
(* 2 (+ a (+ b (+ c d))))
(* (+ a (+ d (+ c b))) 2)
(* 2 (+ a (+ b (+ c d))))
(* (+ a (+ b (+ d c))) 2)
(* 2 (+ a (+ b (+ c d))))
Symmetry

(sort a b c d)

explain154.0ms (2.3%)

Memory
-15.6MiB live, 103.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
8910(-13.87971065317711 -2.205035733228506 3.2193753482628864 13.00321883376958)47(-13.031406841206715 -2.8149865612437135 3.4761773013844275 12.563869465290603)(+.f64 a (+.f64 b (+.f64 c d)))
00-0-a
00-0-d
00-0-(+.f64 c d)
00-0-(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
00-0-(+.f64 b (+.f64 c d))
00-0-c
00-0-#s(literal 2 binary64)
00-0-b
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 a (+.f64 b (+.f64 c d)))cancellation5283
Confusion
Predicted +Predicted -
+4588
-7116
Precision
0.8653846153846154
Recall
0.3383458646616541
Confusion?
Predicted +Predicted MaybePredicted -
+455731
-72690
Precision?
0.7555555555555555
Recall?
0.7669172932330827
Freqs
test
numberfreq
0204
152
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
47.0ms512×0valid
Compiler

Compiled 88 to 40 computations (54.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-add: 7.0ms (64.8% of total)
ival-mult: 3.0ms (27.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶94.1%
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
Compiler

Compiled 13 to 9 computations (30.8% saved)

simplify11.0ms (0.2%)

Memory
12.7MiB live, 12.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
11729
25329
315429
428129
528229
028229
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (+ a (+ b (+ c d))) 2)
(+ a (+ b (+ c d)))
a
(+ b (+ c d))
b
(+ c d)
c
d
2
Outputs
(* (+ a (+ b (+ c d))) 2)
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
(+ a (+ b (+ c d)))
(+.f64 a (+.f64 b (+.f64 c d)))
a
(+ b (+ c d))
(+.f64 b (+.f64 c d))
b
(+ c d)
(+.f64 c d)
c
d
2
#s(literal 2 binary64)

localize25.0ms (0.4%)

Memory
-0.0MiB live, 38.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 c d)
✓accuracy100.0%
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
✓accuracy99.3%
(+.f64 b (+.f64 c d))
✓accuracy95.5%
(+.f64 a (+.f64 b (+.f64 c d)))
Samples
17.0ms256×0valid
Compiler

Compiled 31 to 11 computations (64.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 3.0ms (57% of total)
ival-mult: 2.0ms (38% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series22.0ms (0.3%)

Memory
-25.3MiB live, 12.6MiB allocated
Counts
4 → 156
Calls
Call 1
Inputs
#<alt (* (+ a (+ b (+ c d))) 2)>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ b (+ c d))>
#<alt (+ c d)>
Outputs
#<alt (* 2 (+ b (+ c d)))>
#<alt (+ (* 2 a) (* 2 (+ b (+ c d))))>
#<alt (+ (* 2 a) (* 2 (+ b (+ c d))))>
#<alt (+ (* 2 a) (* 2 (+ b (+ c d))))>
#<alt (* 2 a)>
#<alt (* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))>
#<alt (* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))>
#<alt (* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))>
#<alt (* 2 a)>
#<alt (* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))>
#<alt (* 2 (+ a (+ c d)))>
#<alt (+ (* 2 b) (* 2 (+ a (+ c d))))>
#<alt (+ (* 2 b) (* 2 (+ a (+ c d))))>
#<alt (+ (* 2 b) (* 2 (+ a (+ c d))))>
#<alt (* 2 b)>
#<alt (* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))>
#<alt (* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))>
#<alt (* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))>
#<alt (* 2 b)>
#<alt (* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))>
#<alt (* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))>
#<alt (* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))>
#<alt (* 2 (+ a (+ b d)))>
#<alt (+ (* 2 c) (* 2 (+ a (+ b d))))>
#<alt (+ (* 2 c) (* 2 (+ a (+ b d))))>
#<alt (+ (* 2 c) (* 2 (+ a (+ b d))))>
#<alt (* 2 c)>
#<alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))>
#<alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))>
#<alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))>
#<alt (* 2 c)>
#<alt (* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))>
#<alt (* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))>
#<alt (* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))>
#<alt (* 2 (+ a (+ b c)))>
#<alt (+ (* 2 d) (* 2 (+ a (+ b c))))>
#<alt (+ (* 2 d) (* 2 (+ a (+ b c))))>
#<alt (+ (* 2 d) (* 2 (+ a (+ b c))))>
#<alt (* 2 d)>
#<alt (* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))>
#<alt (* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))>
#<alt (* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))>
#<alt (* 2 d)>
#<alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))>
#<alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))>
#<alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))>
#<alt (+ b (+ c d))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt a>
#<alt (* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))>
#<alt (* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))>
#<alt (* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))>
#<alt (+ a (+ c d))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt b>
#<alt (* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))>
#<alt (* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))>
#<alt (* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))>
#<alt (+ a (+ b d))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt c>
#<alt (* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))>
#<alt (* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))>
#<alt (* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))>
#<alt (+ a (+ b c))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt d>
#<alt (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))>
#<alt (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))>
#<alt (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))>
#<alt d>
#<alt (* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))>
#<alt (+ c d)>
#<alt (+ b (+ c d))>
#<alt (+ b (+ c d))>
#<alt (+ b (+ c d))>
#<alt b>
#<alt (* b (+ 1 (+ (/ c b) (/ d b))))>
#<alt (* b (+ 1 (+ (/ c b) (/ d b))))>
#<alt (* b (+ 1 (+ (/ c b) (/ d b))))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))>
#<alt (+ b d)>
#<alt (+ b (+ c d))>
#<alt (+ b (+ c d))>
#<alt (+ b (+ c d))>
#<alt c>
#<alt (* c (+ 1 (+ (/ b c) (/ d c))))>
#<alt (* c (+ 1 (+ (/ b c) (/ d c))))>
#<alt (* c (+ 1 (+ (/ b c) (/ d c))))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))>
#<alt (+ b c)>
#<alt (+ b (+ c d))>
#<alt (+ b (+ c d))>
#<alt (+ b (+ c d))>
#<alt d>
#<alt (* d (+ 1 (+ (/ b d) (/ c d))))>
#<alt (* d (+ 1 (+ (/ b d) (/ c d))))>
#<alt (* d (+ 1 (+ (/ b d) (/ c d))))>
#<alt d>
#<alt (* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))>
#<alt d>
#<alt (+ c d)>
#<alt (+ c d)>
#<alt (+ c d)>
#<alt c>
#<alt (* c (+ 1 (/ d c)))>
#<alt (* c (+ 1 (/ d c)))>
#<alt (* c (+ 1 (/ d c)))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ d c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ d c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ d c)) 1)))>
#<alt c>
#<alt (+ c d)>
#<alt (+ c d)>
#<alt (+ c d)>
#<alt d>
#<alt (* d (+ 1 (/ c d)))>
#<alt (* d (+ 1 (/ c d)))>
#<alt (* d (+ 1 (/ c d)))>
#<alt d>
#<alt (* -1 (* d (- (* -1 (/ c d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ c d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ c d)) 1)))>
Calls

39 calls:

TimeVariablePointExpression
15.0ms
d
@-inf
(* (+ a (+ b (+ c d))) 2)
0.0ms
d
@inf
(+ a (+ b (+ c d)))
0.0ms
b
@-inf
(* (+ a (+ b (+ c d))) 2)
0.0ms
a
@inf
(* (+ a (+ b (+ c d))) 2)
0.0ms
c
@inf
(* (+ a (+ b (+ c d))) 2)

rewrite821.0ms (12.4%)

Memory
30.3MiB live, 579.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 242×accelerator-lowering-fma.f32
6 242×accelerator-lowering-fma.f64
4 710×*-lowering-*.f32
4 710×*-lowering-*.f64
3 658×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0924
15424
256524
0825624
Stop Event
1×iter limit
1×node limit
Counts
4 → 373
Calls
Call 1
Inputs
(* (+ a (+ b (+ c d))) 2)
(+ a (+ b (+ c d)))
(+ b (+ c d))
(+ c d)
Outputs
(+.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 (+.f64 b (+.f64 c d)) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 a b)) (*.f64 (+.f64 c d) #s(literal 2 binary64)))
(+.f64 (*.f64 (+.f64 b (+.f64 c d)) #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))
(+.f64 (*.f64 (+.f64 c d) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(+.f64 (*.f64 #s(literal 2 binary64) b) (*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d))))
(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 b c)) (*.f64 #s(literal 2 binary64) (+.f64 a d)))
(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d))) (*.f64 #s(literal 2 binary64) b))
(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 b c))) (*.f64 #s(literal 2 binary64) d))
(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 b d))) (*.f64 #s(literal 2 binary64) c))
(+.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64)))
(+.f64 (*.f64 (+.f64 b c) #s(literal 2 binary64)) (*.f64 (+.f64 a d) #s(literal 2 binary64)))
(+.f64 (*.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64)) (*.f64 b #s(literal 2 binary64)))
(+.f64 (*.f64 (+.f64 a (+.f64 b c)) #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))
(+.f64 (*.f64 (+.f64 a (+.f64 b d)) #s(literal 2 binary64)) (*.f64 c #s(literal 2 binary64)))
(fma.f64 a #s(literal 2 binary64) (*.f64 (+.f64 b (+.f64 c d)) #s(literal 2 binary64)))
(fma.f64 b #s(literal 2 binary64) (*.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64)))
(fma.f64 (+.f64 c d) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(fma.f64 (+.f64 b (+.f64 c d)) #s(literal 2 binary64) (*.f64 a #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) a (*.f64 (+.f64 b (+.f64 c d)) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) b (*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d))))
(fma.f64 #s(literal 2 binary64) (+.f64 c d) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(fma.f64 #s(literal 2 binary64) (+.f64 b (+.f64 c d)) (*.f64 a #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (+.f64 b c) (*.f64 #s(literal 2 binary64) (+.f64 a d)))
(fma.f64 #s(literal 2 binary64) (+.f64 a b) (*.f64 (+.f64 c d) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)) (*.f64 #s(literal 2 binary64) b))
(fma.f64 #s(literal 2 binary64) (+.f64 a (+.f64 b c)) (*.f64 #s(literal 2 binary64) d))
(fma.f64 #s(literal 2 binary64) (+.f64 a (+.f64 b d)) (*.f64 #s(literal 2 binary64) c))
(fma.f64 (+.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d (-.f64 d c)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(fma.f64 (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (+.f64 c d) (*.f64 (+.f64 c d) (+.f64 c d)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b)))) #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))
(fma.f64 (-.f64 (*.f64 c c) (*.f64 d d)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 c d)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(fma.f64 (*.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b (+.f64 c d))) #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))
(fma.f64 (+.f64 b c) #s(literal 2 binary64) (*.f64 (+.f64 a d) #s(literal 2 binary64)))
(fma.f64 (+.f64 a b) #s(literal 2 binary64) (*.f64 (+.f64 c d) #s(literal 2 binary64)))
(fma.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64) (*.f64 b #s(literal 2 binary64)))
(fma.f64 (+.f64 a (+.f64 b c)) #s(literal 2 binary64) (*.f64 d #s(literal 2 binary64)))
(fma.f64 (+.f64 a (+.f64 b d)) #s(literal 2 binary64) (*.f64 c #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d (-.f64 d c)))) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(fma.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 c c) (*.f64 d d))) (/.f64 #s(literal 1 binary64) (-.f64 c d)) (*.f64 #s(literal 2 binary64) (+.f64 a b)))
(fma.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 b (*.f64 b b)) (*.f64 (+.f64 c d) (*.f64 (+.f64 c d) (+.f64 c d))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 b b) (*.f64 (+.f64 c d) (-.f64 (+.f64 c d) b)))) (*.f64 a #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 b (+.f64 c d)) (-.f64 b (+.f64 c d)))) (/.f64 #s(literal 1 binary64) (-.f64 b (+.f64 c d))) (*.f64 a #s(literal 2 binary64)))
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(*.f64 (+.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d (-.f64 d c)))))
(*.f64 (+.f64 (*.f64 c c) (*.f64 d (-.f64 d c))) (*.f64 (+.f64 c d) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d (-.f64 d c))))))
(*.f64 (+.f64 (*.f64 c c) (*.f64 d (-.f64 d c))) (/.f64 (+.f64 c d) (+.f64 (*.f64 c c) (*.f64 d (-.f64 d c)))))
(*.f64 (-.f64 (*.f64 c c) (*.f64 d d)) (/.f64 #s(literal 1 binary64) (-.f64 c d)))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 c c) (*.f64 d (-.f64 d c))))))
(*.f64 (*.f64 (+.f64 c d) (-.f64 #s(literal 0 binary64) (-.f64 c d))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 c d))))
(*.f64 #s(literal 1 binary64) (+.f64 c d))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d (-.f64 d c)))) (+.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 c d)) (-.f64 (*.f64 c c) (*.f64 d d)))
(*.f64 (-.f64 (*.f64 d d) (*.f64 c c)) (/.f64 #s(literal 1 binary64) (-.f64 d c)))
(*.f64 (/.f64 (-.f64 (*.f64 c c) (*.f64 d d)) (-.f64 (*.f64 c c) (*.f64 d d))) (+.f64 c d))
(*.f64 (/.f64 (+.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))) (+.f64 (*.f64 (*.f64 c (*.f64 c c)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d (-.f64 d c)) (*.f64 d (*.f64 (-.f64 d c) (*.f64 d (-.f64 d c))))))) (+.f64 (*.f64 c (*.f64 c (*.f64 c c))) (*.f64 (*.f64 d (-.f64 d c)) (-.f64 (*.f64 d (-.f64 d c)) (*.f64 c c)))))
(*.f64 (/.f64 (+.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d))) (*.f64 (+.f64 (*.f64 c c) (*.f64 d (-.f64 d c))) (-.f64 (*.f64 c c) (*.f64 d (-.f64 d c))))) (-.f64 (*.f64 c c) (*.f64 d (-.f64 d c))))
(*.f64 (/.f64 (-.f64 (*.f64 c c) (*.f64 d d)) (-.f64 (*.f64 c (*.f64 c c)) (*.f64 d (*.f64 d d)))) (+.f64 (*.f64 c c) (*.f64 d (+.f64 c d))))

simplify642.0ms (9.7%)

Memory
-11.8MiB live, 392.2MiB allocated
Algorithm
1×egg-herbie
Rules
6 904×accelerator-lowering-fma.f32
6 904×accelerator-lowering-fma.f64
3 448×*-lowering-*.f32
3 448×*-lowering-*.f64
2 444×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

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

eval159.0ms (2.4%)

Memory
27.6MiB live, 142.9MiB allocated
Compiler

Compiled 13 677 to 1 494 computations (89.1% saved)

prune72.0ms (1.1%)

Memory
-19.4MiB live, 209.6MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New5236529
Fresh000
Picked101
Done000
Total5246530
Accuracy
100.0%
Counts
530 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 (+.f64 (+.f64 b c) (+.f64 a d)) #s(literal 2 binary64))
11.7%
(*.f64 (+.f64 c (+.f64 d a)) #s(literal 2 binary64))
▶11.7%
(*.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64))
▶8.7%
(*.f64 (+.f64 a d) #s(literal 2 binary64))
▶11.7%
(*.f64 c #s(literal 2 binary64))
▶6.2%
(*.f64 b #s(literal 2 binary64))
Compiler

Compiled 116 to 88 computations (24.1% saved)

simplify15.0ms (0.2%)

Memory
-8.5MiB live, 30.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01567
13167
28567
320267
425267
525267
025267
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (+ (+ b c) (+ a d)) 2)
(+ (+ b c) (+ a d))
(+ b c)
b
c
(+ a d)
a
d
2
(* b 2)
b
2
(* c 2)
c
2
(* (+ a d) 2)
(+ a d)
a
d
2
(* (+ a (+ c d)) 2)
(+ a (+ c d))
a
(+ c d)
c
d
2
Outputs
(* (+ (+ b c) (+ a d)) 2)
(*.f64 (+.f64 b (+.f64 a (+.f64 c d))) #s(literal 2 binary64))
(+ (+ b c) (+ a d))
(+.f64 b (+.f64 a (+.f64 c d)))
(+ b c)
(+.f64 b c)
b
c
(+ a d)
(+.f64 a d)
a
d
2
#s(literal 2 binary64)
(* b 2)
(*.f64 b #s(literal 2 binary64))
b
2
#s(literal 2 binary64)
(* c 2)
(*.f64 c #s(literal 2 binary64))
c
2
#s(literal 2 binary64)
(* (+ a d) 2)
(*.f64 (+.f64 a d) #s(literal 2 binary64))
(+ a d)
(+.f64 a d)
a
d
2
#s(literal 2 binary64)
(* (+ a (+ c d)) 2)
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(+ a (+ c d))
(+.f64 a (+.f64 c d))
a
(+ c d)
(+.f64 c d)
c
d
2
#s(literal 2 binary64)

localize46.0ms (0.7%)

Memory
44.1MiB live, 118.8MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 c d)
✓accuracy100.0%
(*.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64))
✓accuracy98.0%
(+.f64 a (+.f64 c d))
✓accuracy100.0%
(+.f64 a d)
✓accuracy100.0%
(*.f64 (+.f64 a d) #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 c #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 b #s(literal 2 binary64))
✓accuracy100.0%
(+.f64 (+.f64 b c) (+.f64 a d))
✓accuracy100.0%
(+.f64 b c)
✓accuracy100.0%
(+.f64 a d)
✓accuracy100.0%
(*.f64 (+.f64 (+.f64 b c) (+.f64 a d)) #s(literal 2 binary64))
Samples
27.0ms256×0valid
Compiler

Compiled 69 to 17 computations (75.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 7.0ms (57.7% of total)
ival-add: 5.0ms (41.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory
-14.9MiB live, 23.5MiB allocated
Counts
10 → 288
Calls
Call 1
Inputs
#<alt (* (+ (+ b c) (+ a d)) 2)>
#<alt (+ (+ b c) (+ a d))>
#<alt (+ b c)>
#<alt (+ a d)>
#<alt (* b 2)>
#<alt (* c 2)>
#<alt (* (+ a d) 2)>
#<alt (* (+ a (+ c d)) 2)>
#<alt (+ a (+ c d))>
#<alt (+ c d)>
Outputs
#<alt (* 2 (+ a (+ c d)))>
#<alt (+ (* 2 b) (* 2 (+ a (+ c d))))>
#<alt (+ (* 2 b) (* 2 (+ a (+ c d))))>
#<alt (+ (* 2 b) (* 2 (+ a (+ c d))))>
#<alt (* 2 b)>
#<alt (* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))>
#<alt (* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))>
#<alt (* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))>
#<alt (* 2 b)>
#<alt (* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))>
#<alt (* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))>
#<alt (* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))>
#<alt (* 2 (+ a (+ b d)))>
#<alt (+ (* 2 c) (* 2 (+ a (+ b d))))>
#<alt (+ (* 2 c) (* 2 (+ a (+ b d))))>
#<alt (+ (* 2 c) (* 2 (+ a (+ b d))))>
#<alt (* 2 c)>
#<alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))>
#<alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))>
#<alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))>
#<alt (* 2 c)>
#<alt (* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))>
#<alt (* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))>
#<alt (* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))>
#<alt (* 2 (+ b (+ c d)))>
#<alt (+ (* 2 a) (* 2 (+ b (+ c d))))>
#<alt (+ (* 2 a) (* 2 (+ b (+ c d))))>
#<alt (+ (* 2 a) (* 2 (+ b (+ c d))))>
#<alt (* 2 a)>
#<alt (* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))>
#<alt (* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))>
#<alt (* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))>
#<alt (* 2 a)>
#<alt (* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))>
#<alt (* 2 (+ a (+ b c)))>
#<alt (+ (* 2 d) (* 2 (+ a (+ b c))))>
#<alt (+ (* 2 d) (* 2 (+ a (+ b c))))>
#<alt (+ (* 2 d) (* 2 (+ a (+ b c))))>
#<alt (* 2 d)>
#<alt (* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))>
#<alt (* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))>
#<alt (* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))>
#<alt (* 2 d)>
#<alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))>
#<alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))>
#<alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))>
#<alt (+ a (+ c d))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt b>
#<alt (* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))>
#<alt (* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))>
#<alt (* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))>
#<alt (+ a (+ b d))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt c>
#<alt (* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))>
#<alt (* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))>
#<alt (* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))>
#<alt (+ b (+ c d))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt a>
#<alt (* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))>
#<alt (* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))>
#<alt (* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))>
#<alt (+ a (+ b c))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt (+ a (+ b (+ c d)))>
#<alt d>
#<alt (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))>
#<alt (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))>
#<alt (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))>
#<alt d>
#<alt (* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))>
#<alt c>
#<alt (+ b c)>
#<alt (+ b c)>
#<alt (+ b c)>
#<alt b>
#<alt (* b (+ 1 (/ c b)))>
#<alt (* b (+ 1 (/ c b)))>
#<alt (* b (+ 1 (/ c b)))>
#<alt b>
#<alt (* -1 (* b (- (* -1 (/ c b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ c b)) 1)))>
#<alt (* -1 (* b (- (* -1 (/ c b)) 1)))>
#<alt b>
#<alt (+ b c)>
#<alt (+ b c)>
#<alt (+ b c)>
#<alt c>
#<alt (* c (+ 1 (/ b c)))>
#<alt (* c (+ 1 (/ b c)))>
#<alt (* c (+ 1 (/ b c)))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ b c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ b c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ b c)) 1)))>
#<alt d>
#<alt (+ a d)>
#<alt (+ a d)>
#<alt (+ a d)>
#<alt a>
#<alt (* a (+ 1 (/ d a)))>
#<alt (* a (+ 1 (/ d a)))>
#<alt (* a (+ 1 (/ d a)))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ d a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ d a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ d a)) 1)))>
#<alt a>
#<alt (+ a d)>
#<alt (+ a d)>
#<alt (+ a d)>
#<alt d>
#<alt (* d (+ 1 (/ a d)))>
#<alt (* d (+ 1 (/ a d)))>
#<alt (* d (+ 1 (/ a d)))>
#<alt d>
#<alt (* -1 (* d (- (* -1 (/ a d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ a d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ a d)) 1)))>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 b)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 c)>
#<alt (* 2 d)>
#<alt (+ (* 2 a) (* 2 d))>
#<alt (+ (* 2 a) (* 2 d))>
#<alt (+ (* 2 a) (* 2 d))>
#<alt (* 2 a)>
#<alt (* a (+ 2 (* 2 (/ d a))))>
#<alt (* a (+ 2 (* 2 (/ d a))))>
#<alt (* a (+ 2 (* 2 (/ d a))))>
#<alt (* 2 a)>
#<alt (* -1 (* a (- (* -2 (/ d a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ d a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ d a)) 2)))>
#<alt (* 2 a)>
#<alt (+ (* 2 a) (* 2 d))>
#<alt (+ (* 2 a) (* 2 d))>
#<alt (+ (* 2 a) (* 2 d))>
#<alt (* 2 d)>
#<alt (* d (+ 2 (* 2 (/ a d))))>
#<alt (* d (+ 2 (* 2 (/ a d))))>
#<alt (* d (+ 2 (* 2 (/ a d))))>
#<alt (* 2 d)>
#<alt (* -1 (* d (- (* -2 (/ a d)) 2)))>
#<alt (* -1 (* d (- (* -2 (/ a d)) 2)))>
#<alt (* -1 (* d (- (* -2 (/ a d)) 2)))>
#<alt (* 2 (+ c d))>
#<alt (+ (* 2 a) (* 2 (+ c d)))>
#<alt (+ (* 2 a) (* 2 (+ c d)))>
#<alt (+ (* 2 a) (* 2 (+ c d)))>
#<alt (* 2 a)>
#<alt (* a (+ 2 (* 2 (/ (+ c d) a))))>
#<alt (* a (+ 2 (* 2 (/ (+ c d) a))))>
#<alt (* a (+ 2 (* 2 (/ (+ c d) a))))>
#<alt (* 2 a)>
#<alt (* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))>
#<alt (* 2 (+ a d))>
#<alt (+ (* 2 c) (* 2 (+ a d)))>
#<alt (+ (* 2 c) (* 2 (+ a d)))>
#<alt (+ (* 2 c) (* 2 (+ a d)))>
#<alt (* 2 c)>
#<alt (* c (+ 2 (* 2 (/ (+ a d) c))))>
#<alt (* c (+ 2 (* 2 (/ (+ a d) c))))>
#<alt (* c (+ 2 (* 2 (/ (+ a d) c))))>
#<alt (* 2 c)>
#<alt (* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))>
#<alt (* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))>
#<alt (* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))>
#<alt (* 2 (+ a c))>
#<alt (+ (* 2 d) (* 2 (+ a c)))>
#<alt (+ (* 2 d) (* 2 (+ a c)))>
#<alt (+ (* 2 d) (* 2 (+ a c)))>
#<alt (* 2 d)>
#<alt (* d (+ 2 (* 2 (/ (+ a c) d))))>
#<alt (* d (+ 2 (* 2 (/ (+ a c) d))))>
#<alt (* d (+ 2 (* 2 (/ (+ a c) d))))>
#<alt (* 2 d)>
#<alt (* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))>
#<alt (* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))>
#<alt (* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))>
#<alt (+ c d)>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt a>
#<alt (* a (+ 1 (+ (/ c a) (/ d a))))>
#<alt (* a (+ 1 (+ (/ c a) (/ d a))))>
#<alt (* a (+ 1 (+ (/ c a) (/ d a))))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))>
#<alt (+ a d)>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt c>
#<alt (* c (+ 1 (+ (/ a c) (/ d c))))>
#<alt (* c (+ 1 (+ (/ a c) (/ d c))))>
#<alt (* c (+ 1 (+ (/ a c) (/ d c))))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))>
#<alt (+ a c)>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt d>
#<alt (* d (+ 1 (+ (/ a d) (/ c d))))>
#<alt (* d (+ 1 (+ (/ a d) (/ c d))))>
#<alt (* d (+ 1 (+ (/ a d) (/ c d))))>
#<alt d>
#<alt (* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))>
#<alt d>
#<alt (+ c d)>
#<alt (+ c d)>
#<alt (+ c d)>
#<alt c>
#<alt (* c (+ 1 (/ d c)))>
#<alt (* c (+ 1 (/ d c)))>
#<alt (* c (+ 1 (/ d c)))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ d c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ d c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ d c)) 1)))>
#<alt c>
#<alt (+ c d)>
#<alt (+ c d)>
#<alt (+ c d)>
#<alt d>
#<alt (* d (+ 1 (/ c d)))>
#<alt (* d (+ 1 (/ c d)))>
#<alt (* d (+ 1 (/ c d)))>
#<alt d>
#<alt (* -1 (* d (- (* -1 (/ c d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ c d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ c d)) 1)))>
Calls

72 calls:

TimeVariablePointExpression
2.0ms
a
@inf
(* (+ (+ b c) (+ a d)) 2)
1.0ms
c
@0
(* (+ a (+ c d)) 2)
0.0ms
b
@-inf
(* b 2)
0.0ms
b
@inf
(* b 2)
0.0ms
b
@0
(* b 2)

rewrite482.0ms (7.3%)

Memory
-10.1MiB live, 551.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 632×/-lowering-/.f32
4 632×/-lowering-/.f64
4 004×*-lowering-*.f32
4 004×*-lowering-*.f64
3 572×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01548
18648
290548
0815948
Stop Event
1×iter limit
1×node limit
Counts
10 → 529
Calls
Call 1
Inputs
(* (+ (+ b c) (+ a d)) 2)
(+ (+ b c) (+ a d))
(+ b c)
(+ a d)
(* b 2)
(* c 2)
(* (+ a d) 2)
(* (+ a (+ c d)) 2)
(+ a (+ c d))
(+ c d)
Outputs
(+.f64 (*.f64 b #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 a d))))
(+.f64 (*.f64 (+.f64 a d) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 b c)))
(+.f64 (*.f64 (+.f64 a d) #s(literal 2 binary64)) (*.f64 (+.f64 b c) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 b c)) (*.f64 (+.f64 a d) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 b (+.f64 c a))) (*.f64 #s(literal 2 binary64) d))
(+.f64 (*.f64 (+.f64 b c) #s(literal 2 binary64)) (*.f64 (+.f64 a d) #s(literal 2 binary64)))
(+.f64 (*.f64 (+.f64 b (+.f64 c a)) #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))
(fma.f64 b #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 a d))))
(fma.f64 (+.f64 b c) #s(literal 2 binary64) (*.f64 (+.f64 a d) #s(literal 2 binary64)))
(fma.f64 (+.f64 a d) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 b c)))
(fma.f64 (+.f64 a d) #s(literal 2 binary64) (*.f64 (+.f64 b c) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) b (*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 a d))))
(fma.f64 #s(literal 2 binary64) (+.f64 b c) (*.f64 (+.f64 a d) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (+.f64 a d) (*.f64 #s(literal 2 binary64) (+.f64 b c)))
(fma.f64 #s(literal 2 binary64) (+.f64 a d) (*.f64 (+.f64 b c) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (+.f64 b (+.f64 c a)) (*.f64 #s(literal 2 binary64) d))
(fma.f64 (+.f64 b (+.f64 c a)) #s(literal 2 binary64) (*.f64 d #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a (*.f64 a a)) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (*.f64 d (-.f64 d a)))) (*.f64 #s(literal 2 binary64) (+.f64 b c)))
(fma.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a (*.f64 a a)) (*.f64 d (*.f64 d d)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (*.f64 d (-.f64 d a)))) (*.f64 (+.f64 b c) #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 a a) (*.f64 d d))) (/.f64 #s(literal 1 binary64) (-.f64 a d)) (*.f64 #s(literal 2 binary64) (+.f64 b c)))
(fma.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 a a) (*.f64 d d))) (/.f64 #s(literal 1 binary64) (-.f64 a d)) (*.f64 (+.f64 b c) #s(literal 2 binary64)))
(fma.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) (*.f64 d (*.f64 d d))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (*.f64 d (-.f64 d a)))) (*.f64 #s(literal 2 binary64) (+.f64 b c)))
(fma.f64 (*.f64 (+.f64 (*.f64 a (*.f64 a a)) (*.f64 d (*.f64 d d))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (*.f64 d (-.f64 d a)))) (*.f64 (+.f64 b c) #s(literal 2 binary64)))
(fma.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 d d)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 a d)) (*.f64 #s(literal 2 binary64) (+.f64 b c)))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 c d)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 d d) (-.f64 (*.f64 c c) (*.f64 c d))) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 c d)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 d c) (-.f64 (*.f64 d d) (*.f64 c c))))
(/.f64 (-.f64 (*.f64 d d) (*.f64 c c)) (-.f64 d c))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 c d))))
(/.f64 (-.f64 (*.f64 (*.f64 c c) (-.f64 c d)) (*.f64 (-.f64 c d) (*.f64 d d))) (*.f64 (-.f64 c d) (-.f64 c d)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 c c) (*.f64 d (-.f64 d c))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 c c) (*.f64 d d)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 c d))))
(/.f64 (neg.f64 (-.f64 (*.f64 d d) (*.f64 c c))) (neg.f64 (-.f64 d c)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 c c) (-.f64 c d)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 d d) (-.f64 c d)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 c c) (-.f64 c d)) (/.f64 (*.f64 c c) (-.f64 c d))) (+.f64 (*.f64 (/.f64 (*.f64 d d) (-.f64 c d)) (/.f64 (*.f64 d d) (-.f64 c d))) (*.f64 (/.f64 (*.f64 c c) (-.f64 c d)) (/.f64 (*.f64 d d) (-.f64 c d))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 c c) (-.f64 c d)) (/.f64 (*.f64 c c) (-.f64 c d))) (*.f64 (/.f64 (*.f64 d d) (-.f64 c d)) (/.f64 (*.f64 d d) (-.f64 c d)))) (+.f64 (/.f64 (*.f64 c c) (-.f64 c d)) (/.f64 (*.f64 d d) (-.f64 c d))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 c d)) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 d (-.f64 d c)))))
(*.f64 (+.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 d d) (-.f64 (*.f64 c c) (*.f64 c d)))))
(*.f64 (-.f64 (*.f64 c c) (*.f64 d d)) (/.f64 #s(literal 1 binary64) (-.f64 c d)))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 c (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 c c) (*.f64 d (-.f64 d c))))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 c c) (*.f64 d d))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 c d))))
(*.f64 #s(literal 1 binary64) (+.f64 c d))
(*.f64 (-.f64 (*.f64 d d) (*.f64 c c)) (/.f64 #s(literal 1 binary64) (-.f64 d c)))

simplify560.0ms (8.5%)

Memory
-32.2MiB live, 677.2MiB allocated
Algorithm
1×egg-herbie
Rules
10 758×accelerator-lowering-fma.f32
10 758×accelerator-lowering-fma.f64
4 330×*-lowering-*.f32
4 330×*-lowering-*.f64
2 040×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02071646
16581646
217761604
354331556
083491517
Stop Event
1×iter limit
1×node limit
Counts
288 → 288
Calls
Call 1
Inputs
(* 2 (+ a (+ c d)))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(* 2 b)
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(* 2 b)
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(* 2 (+ a (+ b d)))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(* 2 c)
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(* 2 c)
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(* 2 (+ b (+ c d)))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(* 2 a)
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(* 2 a)
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(* 2 (+ a (+ b c)))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(* 2 d)
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* 2 d)
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(+ a (+ c d))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
b
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(+ a (+ b d))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
c
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(+ b (+ c d))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
a
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(+ a (+ b c))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
d
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
c
(+ b c)
(+ b c)
(+ b c)
b
(* b (+ 1 (/ c b)))
(* b (+ 1 (/ c b)))
(* b (+ 1 (/ c b)))
b
(* -1 (* b (- (* -1 (/ c b)) 1)))
(* -1 (* b (- (* -1 (/ c b)) 1)))
(* -1 (* b (- (* -1 (/ c b)) 1)))
b
(+ b c)
(+ b c)
(+ b c)
c
(* c (+ 1 (/ b c)))
(* c (+ 1 (/ b c)))
(* c (+ 1 (/ b c)))
c
(* -1 (* c (- (* -1 (/ b c)) 1)))
(* -1 (* c (- (* -1 (/ b c)) 1)))
(* -1 (* c (- (* -1 (/ b c)) 1)))
d
(+ a d)
(+ a d)
(+ a d)
a
(* a (+ 1 (/ d a)))
(* a (+ 1 (/ d a)))
(* a (+ 1 (/ d a)))
a
(* -1 (* a (- (* -1 (/ d a)) 1)))
(* -1 (* a (- (* -1 (/ d a)) 1)))
(* -1 (* a (- (* -1 (/ d a)) 1)))
a
(+ a d)
(+ a d)
(+ a d)
d
(* d (+ 1 (/ a d)))
(* d (+ 1 (/ a d)))
(* d (+ 1 (/ a d)))
d
(* -1 (* d (- (* -1 (/ a d)) 1)))
(* -1 (* d (- (* -1 (/ a d)) 1)))
(* -1 (* d (- (* -1 (/ a d)) 1)))
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 d)
(+ (* 2 a) (* 2 d))
(+ (* 2 a) (* 2 d))
(+ (* 2 a) (* 2 d))
(* 2 a)
(* a (+ 2 (* 2 (/ d a))))
(* a (+ 2 (* 2 (/ d a))))
(* a (+ 2 (* 2 (/ d a))))
(* 2 a)
(* -1 (* a (- (* -2 (/ d a)) 2)))
(* -1 (* a (- (* -2 (/ d a)) 2)))
(* -1 (* a (- (* -2 (/ d a)) 2)))
(* 2 a)
(+ (* 2 a) (* 2 d))
(+ (* 2 a) (* 2 d))
(+ (* 2 a) (* 2 d))
(* 2 d)
(* d (+ 2 (* 2 (/ a d))))
(* d (+ 2 (* 2 (/ a d))))
(* d (+ 2 (* 2 (/ a d))))
(* 2 d)
(* -1 (* d (- (* -2 (/ a d)) 2)))
(* -1 (* d (- (* -2 (/ a d)) 2)))
(* -1 (* d (- (* -2 (/ a d)) 2)))
(* 2 (+ c d))
(+ (* 2 a) (* 2 (+ c d)))
(+ (* 2 a) (* 2 (+ c d)))
(+ (* 2 a) (* 2 (+ c d)))
(* 2 a)
(* a (+ 2 (* 2 (/ (+ c d) a))))
(* a (+ 2 (* 2 (/ (+ c d) a))))
(* a (+ 2 (* 2 (/ (+ c d) a))))
(* 2 a)
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(* 2 (+ a d))
(+ (* 2 c) (* 2 (+ a d)))
(+ (* 2 c) (* 2 (+ a d)))
(+ (* 2 c) (* 2 (+ a d)))
(* 2 c)
(* c (+ 2 (* 2 (/ (+ a d) c))))
(* c (+ 2 (* 2 (/ (+ a d) c))))
(* c (+ 2 (* 2 (/ (+ a d) c))))
(* 2 c)
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(* 2 (+ a c))
(+ (* 2 d) (* 2 (+ a c)))
(+ (* 2 d) (* 2 (+ a c)))
(+ (* 2 d) (* 2 (+ a c)))
(* 2 d)
(* d (+ 2 (* 2 (/ (+ a c) d))))
(* d (+ 2 (* 2 (/ (+ a c) d))))
(* d (+ 2 (* 2 (/ (+ a c) d))))
(* 2 d)
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(+ c d)
(+ a (+ c d))
(+ a (+ c d))
(+ a (+ c d))
a
(* a (+ 1 (+ (/ c a) (/ d a))))
(* a (+ 1 (+ (/ c a) (/ d a))))
(* a (+ 1 (+ (/ c a) (/ d a))))
a
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(+ a d)
(+ a (+ c d))
(+ a (+ c d))
(+ a (+ c d))
c
(* c (+ 1 (+ (/ a c) (/ d c))))
(* c (+ 1 (+ (/ a c) (/ d c))))
(* c (+ 1 (+ (/ a c) (/ d c))))
c
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(+ a c)
(+ a (+ c d))
(+ a (+ c d))
(+ a (+ c d))
d
(* d (+ 1 (+ (/ a d) (/ c d))))
(* d (+ 1 (+ (/ a d) (/ c d))))
(* d (+ 1 (+ (/ a d) (/ c d))))
d
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
d
(+ c d)
(+ c d)
(+ c d)
c
(* c (+ 1 (/ d c)))
(* c (+ 1 (/ d c)))
(* c (+ 1 (/ d c)))
c
(* -1 (* c (- (* -1 (/ d c)) 1)))
(* -1 (* c (- (* -1 (/ d c)) 1)))
(* -1 (* c (- (* -1 (/ d c)) 1)))
c
(+ c d)
(+ c d)
(+ c d)
d
(* d (+ 1 (/ c d)))
(* d (+ 1 (/ c d)))
(* d (+ 1 (/ c d)))
d
(* -1 (* d (- (* -1 (/ c d)) 1)))
(* -1 (* d (- (* -1 (/ c d)) 1)))
(* -1 (* d (- (* -1 (/ c d)) 1)))
Outputs
(* 2 (+ a (+ c d)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* 2 (+ a (+ b d)))
(*.f64 #s(literal 2 binary64) (+.f64 b (+.f64 a d)))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* 2 (+ b (+ c d)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d b)))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* 2 (+ a (+ b c)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c b)))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 b (+.f64 a d))))
(+ a (+ c d))
(+.f64 a (+.f64 c d))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 a d)))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(+.f64 c (*.f64 b (+.f64 (/.f64 a b) (+.f64 #s(literal 1 binary64) (/.f64 d b)))))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(+.f64 c (*.f64 b (+.f64 (/.f64 a b) (+.f64 #s(literal 1 binary64) (/.f64 d b)))))
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(+.f64 c (*.f64 b (+.f64 (/.f64 a b) (+.f64 #s(literal 1 binary64) (/.f64 d b)))))
b
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(*.f64 b (+.f64 (/.f64 (+.f64 a (+.f64 c d)) b) #s(literal 1 binary64)))
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(*.f64 b (+.f64 (/.f64 (+.f64 a (+.f64 c d)) b) #s(literal 1 binary64)))
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(*.f64 b (+.f64 (/.f64 (+.f64 a (+.f64 c d)) b) #s(literal 1 binary64)))
(+ a (+ b d))
(+.f64 b (+.f64 a d))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 a d)))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(+.f64 (+.f64 d b) (*.f64 c (+.f64 #s(literal 1 binary64) (/.f64 a c))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(+.f64 (+.f64 d b) (*.f64 c (+.f64 #s(literal 1 binary64) (/.f64 a c))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(+.f64 (+.f64 d b) (*.f64 c (+.f64 #s(literal 1 binary64) (/.f64 a c))))
c
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(*.f64 c (+.f64 (/.f64 (+.f64 b (+.f64 a d)) c) #s(literal 1 binary64)))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(*.f64 c (+.f64 (/.f64 (+.f64 b (+.f64 a d)) c) #s(literal 1 binary64)))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(*.f64 c (+.f64 (/.f64 (+.f64 b (+.f64 a d)) c) #s(literal 1 binary64)))
(+ b (+ c d))
(+.f64 c (+.f64 d b))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 a d)))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(+.f64 d (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b a) (/.f64 c a)))))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(+.f64 d (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b a) (/.f64 c a)))))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(+.f64 d (*.f64 a (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 b a) (/.f64 c a)))))
a
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(*.f64 a (+.f64 (/.f64 (+.f64 c (+.f64 d b)) a) #s(literal 1 binary64)))
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(*.f64 a (+.f64 (/.f64 (+.f64 c (+.f64 d b)) a) #s(literal 1 binary64)))
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(*.f64 a (+.f64 (/.f64 (+.f64 c (+.f64 d b)) a) #s(literal 1 binary64)))
(+ a (+ b c))
(+.f64 a (+.f64 c b))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 a d)))
(+ a (+ b (+ c d)))
(+.f64 c (+.f64 b (+.f64 a d)))
d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(+.f64 a (+.f64 (+.f64 c d) (*.f64 d (/.f64 b d))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(+.f64 a (+.f64 (+.f64 c d) (*.f64 d (/.f64 b d))))
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(+.f64 a (+.f64 (+.f64 c d) (*.f64 d (/.f64 b d))))
d
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(*.f64 d (+.f64 (/.f64 (+.f64 a (+.f64 c b)) d) #s(literal 1 binary64)))
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(*.f64 d (+.f64 (/.f64 (+.f64 a (+.f64 c b)) d) #s(literal 1 binary64)))
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(*.f64 d (+.f64 (/.f64 (+.f64 a (+.f64 c b)) d) #s(literal 1 binary64)))
c
(+ b c)
(+.f64 c b)
(+ b c)
(+.f64 c b)
(+ b c)
(+.f64 c b)
b
(* b (+ 1 (/ c b)))
(+.f64 c b)
(* b (+ 1 (/ c b)))
(+.f64 c b)
(* b (+ 1 (/ c b)))
(+.f64 c b)
b
(* -1 (* b (- (* -1 (/ c b)) 1)))
(+.f64 c b)
(* -1 (* b (- (* -1 (/ c b)) 1)))
(+.f64 c b)
(* -1 (* b (- (* -1 (/ c b)) 1)))
(+.f64 c b)
b
(+ b c)
(+.f64 c b)
(+ b c)
(+.f64 c b)
(+ b c)
(+.f64 c b)
c
(* c (+ 1 (/ b c)))
(+.f64 c b)
(* c (+ 1 (/ b c)))
(+.f64 c b)
(* c (+ 1 (/ b c)))
(+.f64 c b)
c
(* -1 (* c (- (* -1 (/ b c)) 1)))
(+.f64 c b)
(* -1 (* c (- (* -1 (/ b c)) 1)))
(+.f64 c b)
(* -1 (* c (- (* -1 (/ b c)) 1)))
(+.f64 c b)
d
(+ a d)
(+.f64 a d)
(+ a d)
(+.f64 a d)
(+ a d)
(+.f64 a d)
a
(* a (+ 1 (/ d a)))
(+.f64 a d)
(* a (+ 1 (/ d a)))
(+.f64 a d)
(* a (+ 1 (/ d a)))
(+.f64 a d)
a
(* -1 (* a (- (* -1 (/ d a)) 1)))
(+.f64 a d)
(* -1 (* a (- (* -1 (/ d a)) 1)))
(+.f64 a d)
(* -1 (* a (- (* -1 (/ d a)) 1)))
(+.f64 a d)
a
(+ a d)
(+.f64 a d)
(+ a d)
(+.f64 a d)
(+ a d)
(+.f64 a d)
d
(* d (+ 1 (/ a d)))
(+.f64 a d)
(* d (+ 1 (/ a d)))
(+.f64 a d)
(* d (+ 1 (/ a d)))
(+.f64 a d)
d
(* -1 (* d (- (* -1 (/ a d)) 1)))
(+.f64 a d)
(* -1 (* d (- (* -1 (/ a d)) 1)))
(+.f64 a d)
(* -1 (* d (- (* -1 (/ a d)) 1)))
(+.f64 a d)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 b)
(*.f64 #s(literal 2 binary64) b)
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(+ (* 2 a) (* 2 d))
(*.f64 #s(literal 2 binary64) (+.f64 a d))
(+ (* 2 a) (* 2 d))
(*.f64 #s(literal 2 binary64) (+.f64 a d))
(+ (* 2 a) (* 2 d))
(*.f64 #s(literal 2 binary64) (+.f64 a d))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* a (+ 2 (* 2 (/ d a))))
(*.f64 #s(literal 2 binary64) (+.f64 a d))
(* a (+ 2 (* 2 (/ d a))))
(*.f64 #s(literal 2 binary64) (+.f64 a d))
(* a (+ 2 (* 2 (/ d a))))
(*.f64 #s(literal 2 binary64) (+.f64 a d))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* -1 (* a (- (* -2 (/ d a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a d))
(* -1 (* a (- (* -2 (/ d a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a d))
(* -1 (* a (- (* -2 (/ d a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a d))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(+ (* 2 a) (* 2 d))
(*.f64 #s(literal 2 binary64) (+.f64 a d))
(+ (* 2 a) (* 2 d))
(*.f64 #s(literal 2 binary64) (+.f64 a d))
(+ (* 2 a) (* 2 d))
(*.f64 #s(literal 2 binary64) (+.f64 a d))
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(* d (+ 2 (* 2 (/ a d))))
(*.f64 #s(literal 2 binary64) (+.f64 a d))
(* d (+ 2 (* 2 (/ a d))))
(*.f64 #s(literal 2 binary64) (+.f64 a d))
(* d (+ 2 (* 2 (/ a d))))
(*.f64 #s(literal 2 binary64) (+.f64 a d))
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(* -1 (* d (- (* -2 (/ a d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a d))
(* -1 (* d (- (* -2 (/ a d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a d))
(* -1 (* d (- (* -2 (/ a d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a d))
(* 2 (+ c d))
(*.f64 #s(literal 2 binary64) (+.f64 c d))
(+ (* 2 a) (* 2 (+ c d)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(+ (* 2 a) (* 2 (+ c d)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(+ (* 2 a) (* 2 (+ c d)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* a (+ 2 (* 2 (/ (+ c d) a))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* a (+ 2 (* 2 (/ (+ c d) a))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* a (+ 2 (* 2 (/ (+ c d) a))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* 2 (+ a d))
(*.f64 #s(literal 2 binary64) (+.f64 a d))
(+ (* 2 c) (* 2 (+ a d)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(+ (* 2 c) (* 2 (+ a d)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(+ (* 2 c) (* 2 (+ a d)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* c (+ 2 (* 2 (/ (+ a d) c))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* c (+ 2 (* 2 (/ (+ a d) c))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* c (+ 2 (* 2 (/ (+ a d) c))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* 2 (+ a c))
(*.f64 #s(literal 2 binary64) (+.f64 a c))
(+ (* 2 d) (* 2 (+ a c)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(+ (* 2 d) (* 2 (+ a c)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(+ (* 2 d) (* 2 (+ a c)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(* d (+ 2 (* 2 (/ (+ a c) d))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* d (+ 2 (* 2 (/ (+ a c) d))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* d (+ 2 (* 2 (/ (+ a c) d))))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d)))
(+ c d)
(+.f64 c d)
(+ a (+ c d))
(+.f64 a (+.f64 c d))
(+ a (+ c d))
(+.f64 a (+.f64 c d))
(+ a (+ c d))
(+.f64 a (+.f64 c d))
a
(* a (+ 1 (+ (/ c a) (/ d a))))
(+.f64 d (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c a))))
(* a (+ 1 (+ (/ c a) (/ d a))))
(+.f64 d (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c a))))
(* a (+ 1 (+ (/ c a) (/ d a))))
(+.f64 d (*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 c a))))
a
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 c d) a)))
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 c d) a)))
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(*.f64 a (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 c d) a)))
(+ a d)
(+.f64 a d)
(+ a (+ c d))
(+.f64 a (+.f64 c d))
(+ a (+ c d))
(+.f64 a (+.f64 c d))
(+ a (+ c d))
(+.f64 a (+.f64 c d))
c
(* c (+ 1 (+ (/ a c) (/ d c))))
(+.f64 d (*.f64 c (+.f64 #s(literal 1 binary64) (/.f64 a c))))
(* c (+ 1 (+ (/ a c) (/ d c))))
(+.f64 d (*.f64 c (+.f64 #s(literal 1 binary64) (/.f64 a c))))
(* c (+ 1 (+ (/ a c) (/ d c))))
(+.f64 d (*.f64 c (+.f64 #s(literal 1 binary64) (/.f64 a c))))
c
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(*.f64 c (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 a d) c)))
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(*.f64 c (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 a d) c)))
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(*.f64 c (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 a d) c)))
(+ a c)
(+.f64 a c)
(+ a (+ c d))
(+.f64 a (+.f64 c d))
(+ a (+ c d))
(+.f64 a (+.f64 c d))
(+ a (+ c d))
(+.f64 a (+.f64 c d))
d
(* d (+ 1 (+ (/ a d) (/ c d))))
(+.f64 a (+.f64 c d))
(* d (+ 1 (+ (/ a d) (/ c d))))
(+.f64 a (+.f64 c d))
(* d (+ 1 (+ (/ a d) (/ c d))))
(+.f64 a (+.f64 c d))
d
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 a c) d)))
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 a c) d)))
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 a c) d)))
d
(+ c d)
(+.f64 c d)
(+ c d)
(+.f64 c d)
(+ c d)
(+.f64 c d)
c
(* c (+ 1 (/ d c)))
(+.f64 c d)
(* c (+ 1 (/ d c)))
(+.f64 c d)
(* c (+ 1 (/ d c)))
(+.f64 c d)
c
(* -1 (* c (- (* -1 (/ d c)) 1)))
(+.f64 c d)
(* -1 (* c (- (* -1 (/ d c)) 1)))
(+.f64 c d)
(* -1 (* c (- (* -1 (/ d c)) 1)))
(+.f64 c d)
c
(+ c d)
(+.f64 c d)
(+ c d)
(+.f64 c d)
(+ c d)
(+.f64 c d)
d
(* d (+ 1 (/ c d)))
(+.f64 c d)
(* d (+ 1 (/ c d)))
(+.f64 c d)
(* d (+ 1 (/ c d)))
(+.f64 c d)
d
(* -1 (* d (- (* -1 (/ c d)) 1)))
(+.f64 c d)
(* -1 (* d (- (* -1 (/ c d)) 1)))
(+.f64 c d)
(* -1 (* d (- (* -1 (/ c d)) 1)))
(+.f64 c d)

eval146.0ms (2.2%)

Memory
3.6MiB live, 243.2MiB allocated
Compiler

Compiled 19 524 to 2 114 computations (89.2% saved)

prune98.0ms (1.5%)

Memory
11.3MiB live, 287.4MiB allocated
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New8703873
Fresh101
Picked055
Done000
Total8718879
Accuracy
100.0%
Counts
879 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶8.7%
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a d)))
▶11.7%
(*.f64 (+.f64 (+.f64 c a) d) #s(literal 2 binary64))
✓100.0%
(*.f64 (+.f64 (+.f64 b c) (+.f64 a d)) #s(literal 2 binary64))
▶11.7%
(*.f64 (+.f64 (+.f64 a d) c) #s(literal 2 binary64))
✓11.7%
(*.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64))
✓8.7%
(*.f64 (+.f64 a d) #s(literal 2 binary64))
✓11.7%
(*.f64 c #s(literal 2 binary64))
✓6.2%
(*.f64 b #s(literal 2 binary64))
Compiler

Compiled 80 to 61 computations (23.8% saved)

simplify6.0ms (0.1%)

Memory
18.9MiB live, 18.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 a d)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 a d))
✓cost-diff128
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a d)))
✓cost-diff0
(+.f64 c a)
✓cost-diff0
(+.f64 (+.f64 c a) d)
✓cost-diff0
(*.f64 (+.f64 (+.f64 c a) d) #s(literal 2 binary64))
✓cost-diff0
(+.f64 a d)
✓cost-diff0
(+.f64 (+.f64 a d) c)
✓cost-diff0
(*.f64 (+.f64 (+.f64 a d) c) #s(literal 2 binary64))
Rules
48×+-lowering-+.f64
48×+-lowering-+.f32
48×accelerator-lowering-fma.f32
48×accelerator-lowering-fma.f64
28×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01355
12455
25555
38555
08555
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (+ (+ a d) c) 2)
(+ (+ a d) c)
(+ a d)
a
d
c
2
(* (+ (+ c a) d) 2)
(+ (+ c a) d)
(+ c a)
c
a
d
2
(/ 2 (/ 1 (+ a d)))
2
(/ 1 (+ a d))
1
(+ a d)
a
d
Outputs
(* (+ (+ a d) c) 2)
(*.f64 (+.f64 a (+.f64 d c)) #s(literal 2 binary64))
(+ (+ a d) c)
(+.f64 a (+.f64 d c))
(+ a d)
(+.f64 a d)
a
d
c
2
#s(literal 2 binary64)
(* (+ (+ c a) d) 2)
(*.f64 (+.f64 a (+.f64 d c)) #s(literal 2 binary64))
(+ (+ c a) d)
(+.f64 a (+.f64 d c))
(+ c a)
(+.f64 a c)
c
a
d
2
#s(literal 2 binary64)
(/ 2 (/ 1 (+ a d)))
(*.f64 (+.f64 a d) #s(literal 2 binary64))
2
#s(literal 2 binary64)
(/ 1 (+ a d))
(/.f64 #s(literal 1 binary64) (+.f64 a d))
1
#s(literal 1 binary64)
(+ a d)
(+.f64 a d)
a
d

localize43.0ms (0.7%)

Memory
-38.4MiB live, 122.8MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 a d))
✓accuracy100.0%
(+.f64 a d)
✓accuracy99.8%
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a d)))
✓accuracy100.0%
(+.f64 c a)
✓accuracy100.0%
(*.f64 (+.f64 (+.f64 c a) d) #s(literal 2 binary64))
✓accuracy98.6%
(+.f64 (+.f64 c a) d)
✓accuracy100.0%
(+.f64 (+.f64 a d) c)
✓accuracy100.0%
(+.f64 a d)
✓accuracy100.0%
(*.f64 (+.f64 (+.f64 a d) c) #s(literal 2 binary64))
Samples
24.0ms256×0valid
Compiler

Compiled 59 to 16 computations (72.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 5.0ms (39.9% of total)
ival-add: 4.0ms (31.9% of total)
ival-mult: 3.0ms (23.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
21.0MiB live, 21.0MiB allocated
Counts
8 → 240
Calls
Call 1
Inputs
#<alt (* (+ (+ a d) c) 2)>
#<alt (+ (+ a d) c)>
#<alt (+ a d)>
#<alt (* (+ (+ c a) d) 2)>
#<alt (+ (+ c a) d)>
#<alt (+ c a)>
#<alt (/ 2 (/ 1 (+ a d)))>
#<alt (/ 1 (+ a d))>
Outputs
#<alt (* 2 (+ c d))>
#<alt (+ (* 2 a) (* 2 (+ c d)))>
#<alt (+ (* 2 a) (* 2 (+ c d)))>
#<alt (+ (* 2 a) (* 2 (+ c d)))>
#<alt (* 2 a)>
#<alt (* a (+ 2 (* 2 (/ (+ c d) a))))>
#<alt (* a (+ 2 (* 2 (/ (+ c d) a))))>
#<alt (* a (+ 2 (* 2 (/ (+ c d) a))))>
#<alt (* 2 a)>
#<alt (* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))>
#<alt (* 2 (+ a c))>
#<alt (+ (* 2 d) (* 2 (+ a c)))>
#<alt (+ (* 2 d) (* 2 (+ a c)))>
#<alt (+ (* 2 d) (* 2 (+ a c)))>
#<alt (* 2 d)>
#<alt (* d (+ 2 (* 2 (/ (+ a c) d))))>
#<alt (* d (+ 2 (* 2 (/ (+ a c) d))))>
#<alt (* d (+ 2 (* 2 (/ (+ a c) d))))>
#<alt (* 2 d)>
#<alt (* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))>
#<alt (* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))>
#<alt (* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))>
#<alt (* 2 (+ a d))>
#<alt (+ (* 2 c) (* 2 (+ a d)))>
#<alt (+ (* 2 c) (* 2 (+ a d)))>
#<alt (+ (* 2 c) (* 2 (+ a d)))>
#<alt (* 2 c)>
#<alt (* c (+ 2 (* 2 (/ (+ a d) c))))>
#<alt (* c (+ 2 (* 2 (/ (+ a d) c))))>
#<alt (* c (+ 2 (* 2 (/ (+ a d) c))))>
#<alt (* 2 c)>
#<alt (* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))>
#<alt (* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))>
#<alt (* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))>
#<alt (+ c d)>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt a>
#<alt (* a (+ 1 (+ (/ c a) (/ d a))))>
#<alt (* a (+ 1 (+ (/ c a) (/ d a))))>
#<alt (* a (+ 1 (+ (/ c a) (/ d a))))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))>
#<alt (+ a c)>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt d>
#<alt (* d (+ 1 (+ (/ a d) (/ c d))))>
#<alt (* d (+ 1 (+ (/ a d) (/ c d))))>
#<alt (* d (+ 1 (+ (/ a d) (/ c d))))>
#<alt d>
#<alt (* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))>
#<alt (+ a d)>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt c>
#<alt (* c (+ 1 (+ (/ a c) (/ d c))))>
#<alt (* c (+ 1 (+ (/ a c) (/ d c))))>
#<alt (* c (+ 1 (+ (/ a c) (/ d c))))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))>
#<alt d>
#<alt (+ a d)>
#<alt (+ a d)>
#<alt (+ a d)>
#<alt a>
#<alt (* a (+ 1 (/ d a)))>
#<alt (* a (+ 1 (/ d a)))>
#<alt (* a (+ 1 (/ d a)))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ d a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ d a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ d a)) 1)))>
#<alt a>
#<alt (+ a d)>
#<alt (+ a d)>
#<alt (+ a d)>
#<alt d>
#<alt (* d (+ 1 (/ a d)))>
#<alt (* d (+ 1 (/ a d)))>
#<alt (* d (+ 1 (/ a d)))>
#<alt d>
#<alt (* -1 (* d (- (* -1 (/ a d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ a d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ a d)) 1)))>
#<alt (* 2 (+ a d))>
#<alt (+ (* 2 c) (* 2 (+ a d)))>
#<alt (+ (* 2 c) (* 2 (+ a d)))>
#<alt (+ (* 2 c) (* 2 (+ a d)))>
#<alt (* 2 c)>
#<alt (* c (+ 2 (* 2 (/ (+ a d) c))))>
#<alt (* c (+ 2 (* 2 (/ (+ a d) c))))>
#<alt (* c (+ 2 (* 2 (/ (+ a d) c))))>
#<alt (* 2 c)>
#<alt (* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))>
#<alt (* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))>
#<alt (* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))>
#<alt (* 2 (+ c d))>
#<alt (+ (* 2 a) (* 2 (+ c d)))>
#<alt (+ (* 2 a) (* 2 (+ c d)))>
#<alt (+ (* 2 a) (* 2 (+ c d)))>
#<alt (* 2 a)>
#<alt (* a (+ 2 (* 2 (/ (+ c d) a))))>
#<alt (* a (+ 2 (* 2 (/ (+ c d) a))))>
#<alt (* a (+ 2 (* 2 (/ (+ c d) a))))>
#<alt (* 2 a)>
#<alt (* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))>
#<alt (* 2 (+ a c))>
#<alt (+ (* 2 d) (* 2 (+ a c)))>
#<alt (+ (* 2 d) (* 2 (+ a c)))>
#<alt (+ (* 2 d) (* 2 (+ a c)))>
#<alt (* 2 d)>
#<alt (* d (+ 2 (* 2 (/ (+ a c) d))))>
#<alt (* d (+ 2 (* 2 (/ (+ a c) d))))>
#<alt (* d (+ 2 (* 2 (/ (+ a c) d))))>
#<alt (* 2 d)>
#<alt (* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))>
#<alt (* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))>
#<alt (* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))>
#<alt (+ a d)>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt c>
#<alt (* c (+ 1 (+ (/ a c) (/ d c))))>
#<alt (* c (+ 1 (+ (/ a c) (/ d c))))>
#<alt (* c (+ 1 (+ (/ a c) (/ d c))))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))>
#<alt (+ c d)>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt a>
#<alt (* a (+ 1 (+ (/ c a) (/ d a))))>
#<alt (* a (+ 1 (+ (/ c a) (/ d a))))>
#<alt (* a (+ 1 (+ (/ c a) (/ d a))))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))>
#<alt (+ a c)>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt (+ a (+ c d))>
#<alt d>
#<alt (* d (+ 1 (+ (/ a d) (/ c d))))>
#<alt (* d (+ 1 (+ (/ a d) (/ c d))))>
#<alt (* d (+ 1 (+ (/ a d) (/ c d))))>
#<alt d>
#<alt (* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))>
#<alt (* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))>
#<alt a>
#<alt (+ a c)>
#<alt (+ a c)>
#<alt (+ a c)>
#<alt c>
#<alt (* c (+ 1 (/ a c)))>
#<alt (* c (+ 1 (/ a c)))>
#<alt (* c (+ 1 (/ a c)))>
#<alt c>
#<alt (* -1 (* c (- (* -1 (/ a c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ a c)) 1)))>
#<alt (* -1 (* c (- (* -1 (/ a c)) 1)))>
#<alt c>
#<alt (+ a c)>
#<alt (+ a c)>
#<alt (+ a c)>
#<alt a>
#<alt (* a (+ 1 (/ c a)))>
#<alt (* a (+ 1 (/ c a)))>
#<alt (* a (+ 1 (/ c a)))>
#<alt a>
#<alt (* -1 (* a (- (* -1 (/ c a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ c a)) 1)))>
#<alt (* -1 (* a (- (* -1 (/ c a)) 1)))>
#<alt (* 2 d)>
#<alt (+ (* 2 a) (* 2 d))>
#<alt (+ (* 2 a) (* 2 d))>
#<alt (+ (* 2 a) (* 2 d))>
#<alt (* 2 a)>
#<alt (* a (+ 2 (* 2 (/ d a))))>
#<alt (* a (+ 2 (* 2 (/ d a))))>
#<alt (* a (+ 2 (* 2 (/ d a))))>
#<alt (* 2 a)>
#<alt (* -1 (* a (- (* -2 (/ d a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ d a)) 2)))>
#<alt (* -1 (* a (- (* -2 (/ d a)) 2)))>
#<alt (* 2 a)>
#<alt (+ (* 2 a) (* 2 d))>
#<alt (+ (* 2 a) (* 2 d))>
#<alt (+ (* 2 a) (* 2 d))>
#<alt (* 2 d)>
#<alt (* d (+ 2 (* 2 (/ a d))))>
#<alt (* d (+ 2 (* 2 (/ a d))))>
#<alt (* d (+ 2 (* 2 (/ a d))))>
#<alt (* 2 d)>
#<alt (* -1 (* d (- (* -2 (/ a d)) 2)))>
#<alt (* -1 (* d (- (* -2 (/ a d)) 2)))>
#<alt (* -1 (* d (- (* -2 (/ a d)) 2)))>
#<alt (/ 1 d)>
#<alt (+ (* -1 (/ a (pow d 2))) (/ 1 d))>
#<alt (+ (* a (- (/ a (pow d 3)) (/ 1 (pow d 2)))) (/ 1 d))>
#<alt (+ (* a (- (* a (+ (* -1 (/ a (pow d 4))) (/ 1 (pow d 3)))) (/ 1 (pow d 2)))) (/ 1 d))>
#<alt (/ 1 a)>
#<alt (/ (+ 1 (* -1 (/ d a))) a)>
#<alt (/ (- (+ 1 (/ (pow d 2) (pow a 2))) (/ d a)) a)>
#<alt (/ (- (+ 1 (* -1 (/ (pow d 3) (pow a 3)))) (+ (* -1 (/ (pow d 2) (pow a 2))) (/ d a))) a)>
#<alt (/ 1 a)>
#<alt (* -1 (/ (- (/ d a) 1) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow d 2) a) d) a)) 1) a))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow d 3) a) (pow d 2)) a)) d) a)) 1) a))>
#<alt (/ 1 a)>
#<alt (+ (* -1 (/ d (pow a 2))) (/ 1 a))>
#<alt (+ (* d (- (/ d (pow a 3)) (/ 1 (pow a 2)))) (/ 1 a))>
#<alt (+ (* d (- (* d (+ (* -1 (/ d (pow a 4))) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (/ 1 a))>
#<alt (/ 1 d)>
#<alt (/ (+ 1 (* -1 (/ a d))) d)>
#<alt (/ (- (+ 1 (/ (pow a 2) (pow d 2))) (/ a d)) d)>
#<alt (/ (- (+ 1 (* -1 (/ (pow a 3) (pow d 3)))) (+ (* -1 (/ (pow a 2) (pow d 2))) (/ a d))) d)>
#<alt (/ 1 d)>
#<alt (* -1 (/ (- (/ a d) 1) d))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow a 2) d) a) d)) 1) d))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow a 3) d) (pow a 2)) d)) a) d)) 1) d))>
Calls

60 calls:

TimeVariablePointExpression
0.0ms
d
@0
(/ 1 (+ a d))
0.0ms
a
@0
(/ 1 (+ a d))
0.0ms
a
@inf
(/ 1 (+ a d))
0.0ms
d
@inf
(/ 1 (+ a d))
0.0ms
a
@-inf
(/ 1 (+ a d))

rewrite476.0ms (7.2%)

Memory
-17.8MiB live, 898.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 020×accelerator-lowering-fma.f32
6 020×accelerator-lowering-fma.f64
5 302×*-lowering-*.f32
5 302×*-lowering-*.f64
4 426×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01340
18340
269640
0823640
Stop Event
1×iter limit
1×node limit
Counts
8 → 1 045
Calls
Call 1
Inputs
(* (+ (+ a d) c) 2)
(+ (+ a d) c)
(+ a d)
(* (+ (+ c a) d) 2)
(+ (+ c a) d)
(+ c a)
(/ 2 (/ 1 (+ a d)))
(/ 1 (+ a d))
Outputs
(+.f64 (/.f64 (+.f64 a d) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) c))
(+.f64 (/.f64 (+.f64 a d) #s(literal 1/2 binary64)) (*.f64 c #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 2 binary64) (+.f64 d c)))
(+.f64 (*.f64 #s(literal 2 binary64) a) (+.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 c #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 d c)) (*.f64 #s(literal 2 binary64) a))
(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 d c)) (*.f64 a #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 #s(literal 2 binary64) (+.f64 a c)))
(+.f64 (*.f64 #s(literal 2 binary64) d) (+.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 c #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 a c)) (*.f64 #s(literal 2 binary64) d))
(+.f64 (*.f64 #s(literal 2 binary64) (+.f64 a c)) (*.f64 d #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) c) (/.f64 (+.f64 a d) #s(literal 1/2 binary64)))
(+.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 d c)))
(+.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 (+.f64 d c) #s(literal 2 binary64)))
(+.f64 (*.f64 a #s(literal 2 binary64)) (+.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) c)))
(+.f64 (*.f64 (+.f64 d c) #s(literal 2 binary64)) (*.f64 a #s(literal 2 binary64)))
(+.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 a c)))
(+.f64 (*.f64 d #s(literal 2 binary64)) (+.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) c)))
(+.f64 (*.f64 c #s(literal 2 binary64)) (/.f64 (+.f64 a d) #s(literal 1/2 binary64)))
(+.f64 (+.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 a #s(literal 2 binary64))) (*.f64 d #s(literal 2 binary64)))
(+.f64 (+.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 d #s(literal 2 binary64))) (*.f64 a #s(literal 2 binary64)))
(+.f64 (+.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) a)) (*.f64 #s(literal 2 binary64) d))
(+.f64 (+.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) d)) (*.f64 #s(literal 2 binary64) a))
(-.f64 (*.f64 #s(literal 2 binary64) c) (*.f64 #s(literal -2 binary64) (+.f64 a d)))
(-.f64 (*.f64 c #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (+.f64 a d)))
(fma.f64 a #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 d c)))
(fma.f64 a #s(literal 2 binary64) (*.f64 (+.f64 d c) #s(literal 2 binary64)))
(fma.f64 a #s(literal 2 binary64) (+.f64 (*.f64 d #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) c)))
(fma.f64 d #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (+.f64 a c)))
(fma.f64 d #s(literal 2 binary64) (+.f64 (*.f64 a #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) c)))
(fma.f64 (+.f64 a d) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) c))
(fma.f64 (+.f64 a d) #s(literal 2 binary64) (*.f64 c #s(literal 2 binary64)))
(fma.f64 c #s(literal 2 binary64) (/.f64 (+.f64 a d) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 2 binary64) a (*.f64 #s(literal 2 binary64) (+.f64 d c)))
(fma.f64 #s(literal 2 binary64) a (+.f64 (*.f64 #s(literal 2 binary64) d) (*.f64 c #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) d (*.f64 #s(literal 2 binary64) (+.f64 a c)))
(fma.f64 #s(literal 2 binary64) d (+.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 c #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) (+.f64 a d) (*.f64 #s(literal 2 binary64) c))
(fma.f64 #s(literal 2 binary64) (+.f64 a d) (*.f64 c #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) c (/.f64 (+.f64 a d) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 2 binary64) (+.f64 a c) (*.f64 #s(literal 2 binary64) d))
(fma.f64 #s(literal 2 binary64) (+.f64 a c) (*.f64 d #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (+.f64 d c) (*.f64 #s(literal 2 binary64) a))
(fma.f64 #s(literal 2 binary64) (+.f64 d c) (*.f64 a #s(literal 2 binary64)))
(fma.f64 (+.f64 a c) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) d))
(fma.f64 (+.f64 a c) #s(literal 2 binary64) (*.f64 d #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 a d) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) c))
(fma.f64 #s(literal 1 binary64) (/.f64 (+.f64 a d) #s(literal 1/2 binary64)) (*.f64 c #s(literal 2 binary64)))
(fma.f64 (/.f64 (+.f64 a d) #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) c))
(fma.f64 (/.f64 (+.f64 a d) #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 c #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (+.f64 a d)) (*.f64 #s(literal 2 binary64) c))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (+.f64 a d)) (*.f64 c #s(literal 2 binary64)))
(fma.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 a d)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) c))
(fma.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 a d)) #s(literal 2 binary64)) (*.f64 c #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (+.f64 a d)) (*.f64 #s(literal 2 binary64) c))
(fma.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (+.f64 a d)) (*.f64 c #s(literal 2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 a d)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) c))
(fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 a d)) #s(literal -2 binary64) (*.f64 c #s(literal 2 binary64)))
(fma.f64 (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (*.f64 d (-.f64 d a)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) c))
(fma.f64 (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (*.f64 d (-.f64 d a)))) #s(literal 2 binary64)) (*.f64 c #s(literal 2 binary64)))
(fma.f64 (+.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 a (-.f64 a c)))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) d))
(fma.f64 (+.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 a (-.f64 a c)))) #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))
(fma.f64 (-.f64 (*.f64 a a) (*.f64 d d)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 a d)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) c))
(fma.f64 (-.f64 (*.f64 a a) (*.f64 d d)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 a d)) #s(literal 2 binary64)) (*.f64 c #s(literal 2 binary64)))
(fma.f64 (-.f64 (*.f64 c c) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 c a)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) d))
(fma.f64 (-.f64 (*.f64 c c) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 c a)) #s(literal 2 binary64)) (*.f64 d #s(literal 2 binary64)))
(fma.f64 (+.f64 d c) #s(literal 2 binary64) (*.f64 a #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (*.f64 d (-.f64 d a)))) (*.f64 #s(literal 2 binary64) c))
(fma.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (*.f64 d (-.f64 d a)))) (*.f64 c #s(literal 2 binary64)))
(fma.f64 (*.f64 (/.f64 (+.f64 a d) #s(literal 1/2 binary64)) (-.f64 a d)) (/.f64 #s(literal 1 binary64) (-.f64 a d)) (*.f64 #s(literal 2 binary64) c))
(fma.f64 (*.f64 (/.f64 (+.f64 a d) #s(literal 1/2 binary64)) (-.f64 a d)) (/.f64 #s(literal 1 binary64) (-.f64 a d)) (*.f64 c #s(literal 2 binary64)))
(fma.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a d)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a d)) #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) c))
(fma.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a d)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a d)) #s(literal -1/2 binary64)) (*.f64 c #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 a (-.f64 a c)))) (*.f64 #s(literal 2 binary64) d))
(fma.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 c c) (*.f64 a (-.f64 a c)))) (*.f64 d #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 c c) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 c a)) (*.f64 #s(literal 2 binary64) d))
(fma.f64 (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 c c) (*.f64 a a))) (/.f64 #s(literal 1 binary64) (-.f64 c a)) (*.f64 d #s(literal 2 binary64)))
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 d (-.f64 d a)) (*.f64 d (*.f64 (-.f64 d a) (*.f64 d (-.f64 d a))))))) (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 d (-.f64 d a)) (-.f64 (*.f64 d (-.f64 d a)) (*.f64 a a)))) (*.f64 #s(literal 2 binary64) c))
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(/.f64 (*.f64 (-.f64 (*.f64 a a) (*.f64 d d)) #s(literal 2 binary64)) (-.f64 a d))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a)))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a a) (*.f64 d (-.f64 d a)))))
(/.f64 (*.f64 (*.f64 (+.f64 a d) (-.f64 #s(literal 0 binary64) (-.f64 a d))) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 a d)))
(/.f64 (*.f64 (-.f64 (*.f64 d d) (*.f64 a a)) #s(literal 2 binary64)) (-.f64 d a))
(/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 a d) #s(literal -1/2 binary64))) (pow.f64 (+.f64 a d) #s(literal -1/2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a))))) (+.f64 (*.f64 a a) (*.f64 d (-.f64 d a))))
(/.f64 (/.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a d)) (-.f64 a d))) (-.f64 a d))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a d)) #s(literal -1 binary64))
(*.f64 (+.f64 a d) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 a d))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 a d) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (+.f64 a d) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (+.f64 a d)))
(*.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 a d)) #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (+.f64 a d)))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 a d)) #s(literal -2 binary64))
(*.f64 (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (*.f64 d (-.f64 d a)))) #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 a a) (*.f64 d d)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 a d)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (*.f64 d (-.f64 d a)))))
(*.f64 (*.f64 (/.f64 (+.f64 a d) #s(literal 1/2 binary64)) (-.f64 a d)) (/.f64 #s(literal 1 binary64) (-.f64 a d)))
(*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a d)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 a d)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 d (-.f64 d a)) (*.f64 d (*.f64 (-.f64 d a) (*.f64 d (-.f64 d a))))))) (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 d (-.f64 d a)) (-.f64 (*.f64 d (-.f64 d a)) (*.f64 a a)))))
(*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a)))) (*.f64 (+.f64 (*.f64 a a) (*.f64 d (-.f64 d a))) (-.f64 (*.f64 a a) (*.f64 d (-.f64 d a))))) (-.f64 (*.f64 a a) (*.f64 d (-.f64 d a))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 a d) #s(literal 1/2 binary64)) (-.f64 a d)) (-.f64 (*.f64 a a) (*.f64 d d))) (+.f64 a d))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 a d) #s(literal 1/2 binary64)) (-.f64 a d)) (-.f64 (*.f64 a (*.f64 a a)) (*.f64 d (*.f64 d d)))) (+.f64 (*.f64 a a) (*.f64 d (+.f64 a d))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a)))) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a)))) (*.f64 d (-.f64 d a))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a)))) (*.f64 d (-.f64 d a))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a)))) (*.f64 a a)))
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a d)) (-.f64 a d)) a) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a d)) (-.f64 a d)) (-.f64 #s(literal 0 binary64) d)))
(+.f64 (*.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 d (-.f64 d a)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a))))))
(+.f64 (*.f64 (*.f64 d (-.f64 d a)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a))))) (*.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a))))))
(+.f64 (*.f64 a (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a d)) (-.f64 a d))) (*.f64 (-.f64 #s(literal 0 binary64) d) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a d)) (-.f64 a d))))
(exp.f64 (*.f64 (log.f64 (+.f64 a d)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 a d)))
(-.f64 (/.f64 (+.f64 (*.f64 a a) (*.f64 d d)) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a)))) (/.f64 (*.f64 a d) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a)))))
(-.f64 (/.f64 a (-.f64 (*.f64 a a) (*.f64 d d))) (/.f64 d (-.f64 (*.f64 a a) (*.f64 d d))))
(fma.f64 a (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a d)) (-.f64 a d)) (*.f64 (-.f64 #s(literal 0 binary64) d) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a d)) (-.f64 a d))))
(fma.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 d (-.f64 d a)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a))))))
(fma.f64 (*.f64 d (-.f64 d a)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 a a) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a)))) (*.f64 a a) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a)))) (*.f64 d (-.f64 d a))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a)))) (*.f64 d (-.f64 d a)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a)))) (*.f64 a a)))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a d)) (-.f64 a d)) a (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a d)) (-.f64 a d)) (-.f64 #s(literal 0 binary64) d)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 a d)))
(/.f64 #s(literal 1 binary64) (+.f64 a d))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a d)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 a d)))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 a d)) #s(literal -1 binary64))
(/.f64 (+.f64 (*.f64 a a) (*.f64 d (-.f64 d a))) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a))))
(/.f64 (-.f64 (*.f64 a a) (*.f64 d d)) (*.f64 (+.f64 a d) (-.f64 (*.f64 a a) (*.f64 d d))))
(/.f64 (-.f64 a d) (-.f64 (*.f64 a a) (*.f64 d d)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a a) (*.f64 d (-.f64 d a)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a)))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 a d)) (*.f64 (+.f64 a d) (-.f64 #s(literal 0 binary64) (-.f64 a d))))
(/.f64 (+.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 d (-.f64 d a)) (*.f64 d (*.f64 (-.f64 d a) (*.f64 d (-.f64 d a)))))) (*.f64 (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a))) (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 d (-.f64 d a)) (-.f64 (*.f64 d (-.f64 d a)) (*.f64 a a))))))
(/.f64 (-.f64 (*.f64 a (*.f64 a a)) (*.f64 d (*.f64 d d))) (*.f64 (-.f64 (*.f64 a a) (*.f64 d d)) (+.f64 (*.f64 a a) (*.f64 d (+.f64 a d)))))
(/.f64 (*.f64 (+.f64 (*.f64 a a) (*.f64 d (-.f64 d a))) (-.f64 (*.f64 a a) (*.f64 d (-.f64 d a)))) (*.f64 (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a))) (-.f64 (*.f64 a a) (*.f64 d (-.f64 d a)))))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (*.f64 d (-.f64 d a)))))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a d)) (-.f64 a d)) (/.f64 #s(literal 1 binary64) (-.f64 a d)))
(/.f64 (/.f64 (-.f64 a d) (+.f64 a d)) (-.f64 a d))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 d (-.f64 d a)) (*.f64 d (*.f64 (-.f64 d a) (*.f64 d (-.f64 d a))))))) (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 d (-.f64 d a)) (-.f64 (*.f64 d (-.f64 d a)) (*.f64 a a)))))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a)))) (*.f64 (+.f64 (*.f64 a a) (*.f64 d (-.f64 d a))) (-.f64 (*.f64 a a) (*.f64 d (-.f64 d a))))) (-.f64 (*.f64 a a) (*.f64 d (-.f64 d a))))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a d)) (-.f64 a d)) (-.f64 (*.f64 a a) (*.f64 d d))) (+.f64 a d))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a d)) (-.f64 a d)) (-.f64 (*.f64 a (*.f64 a a)) (*.f64 d (*.f64 d d)))) (+.f64 (*.f64 a a) (*.f64 d (+.f64 a d))))
(/.f64 (/.f64 (+.f64 (*.f64 a a) (*.f64 d (-.f64 d a))) (+.f64 (*.f64 a a) (*.f64 d (-.f64 d a)))) (+.f64 a d))
(pow.f64 (+.f64 a d) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 a d)) #s(literal 1 binary64))
(pow.f64 (*.f64 (+.f64 a d) (+.f64 a d)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (+.f64 a d) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (+.f64 a d))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a d)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 a d)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 a d)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 a d)) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 a a) (*.f64 d (-.f64 d a))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a)))))
(*.f64 (-.f64 a d) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a d)) (-.f64 a d)))
(*.f64 (pow.f64 (+.f64 a d) #s(literal -1/2 binary64)) (pow.f64 (+.f64 a d) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (+.f64 a d) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (+.f64 a d) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 a a) (*.f64 d (-.f64 d a))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a)))) (+.f64 (*.f64 d d) (*.f64 a (-.f64 a d))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 a a) (*.f64 d (-.f64 d a)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a)))) (*.f64 (+.f64 (*.f64 a a) (*.f64 d (-.f64 d a))) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a d)) (-.f64 a d)) (-.f64 a d))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 a d)) (-.f64 a d)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 a d)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 a d) #s(literal -1/2 binary64))) (pow.f64 (+.f64 a d) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a a) (*.f64 d (-.f64 d a)))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 a a) (*.f64 d d))) (-.f64 #s(literal 0 binary64) (-.f64 a d)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 a a) (*.f64 d (-.f64 d a)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 a d) (-.f64 #s(literal 0 binary64) (-.f64 a d)))) (-.f64 #s(literal 0 binary64) (-.f64 a d)))
(*.f64 (/.f64 (+.f64 (*.f64 a a) (*.f64 d (-.f64 d a))) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a)))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d)))))) (+.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 d (*.f64 d d)) (-.f64 (*.f64 d (*.f64 d d)) (*.f64 a (*.f64 a a))))))
(*.f64 (/.f64 (+.f64 (*.f64 a a) (*.f64 d (-.f64 d a))) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (-.f64 (*.f64 a (*.f64 a a)) (*.f64 d (*.f64 d d))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 d d) (*.f64 a a))) (-.f64 d a))
(*.f64 (/.f64 (-.f64 a d) (-.f64 (*.f64 (*.f64 a (*.f64 a a)) (*.f64 a (*.f64 a a))) (*.f64 (*.f64 d (*.f64 d d)) (*.f64 d (*.f64 d d))))) (+.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 d d) (+.f64 (*.f64 d d) (*.f64 a a)))))
(*.f64 (/.f64 (-.f64 a d) (-.f64 (*.f64 a (*.f64 a (*.f64 a a))) (*.f64 (*.f64 d d) (*.f64 d d)))) (+.f64 (*.f64 a a) (*.f64 d d)))

simplify313.0ms (4.7%)

Memory
23.8MiB live, 543.5MiB allocated
Algorithm
1×egg-herbie
Rules
7 746×accelerator-lowering-fma.f32
7 746×accelerator-lowering-fma.f64
4 196×*-lowering-*.f32
4 196×*-lowering-*.f64
1 476×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02181472
16401450
216231382
351341352
082941310
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
(* 2 (+ c d))
(+ (* 2 a) (* 2 (+ c d)))
(+ (* 2 a) (* 2 (+ c d)))
(+ (* 2 a) (* 2 (+ c d)))
(* 2 a)
(* a (+ 2 (* 2 (/ (+ c d) a))))
(* a (+ 2 (* 2 (/ (+ c d) a))))
(* a (+ 2 (* 2 (/ (+ c d) a))))
(* 2 a)
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(* 2 (+ a c))
(+ (* 2 d) (* 2 (+ a c)))
(+ (* 2 d) (* 2 (+ a c)))
(+ (* 2 d) (* 2 (+ a c)))
(* 2 d)
(* d (+ 2 (* 2 (/ (+ a c) d))))
(* d (+ 2 (* 2 (/ (+ a c) d))))
(* d (+ 2 (* 2 (/ (+ a c) d))))
(* 2 d)
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(* 2 (+ a d))
(+ (* 2 c) (* 2 (+ a d)))
(+ (* 2 c) (* 2 (+ a d)))
(+ (* 2 c) (* 2 (+ a d)))
(* 2 c)
(* c (+ 2 (* 2 (/ (+ a d) c))))
(* c (+ 2 (* 2 (/ (+ a d) c))))
(* c (+ 2 (* 2 (/ (+ a d) c))))
(* 2 c)
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(+ c d)
(+ a (+ c d))
(+ a (+ c d))
(+ a (+ c d))
a
(* a (+ 1 (+ (/ c a) (/ d a))))
(* a (+ 1 (+ (/ c a) (/ d a))))
(* a (+ 1 (+ (/ c a) (/ d a))))
a
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(+ a c)
(+ a (+ c d))
(+ a (+ c d))
(+ a (+ c d))
d
(* d (+ 1 (+ (/ a d) (/ c d))))
(* d (+ 1 (+ (/ a d) (/ c d))))
(* d (+ 1 (+ (/ a d) (/ c d))))
d
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(+ a d)
(+ a (+ c d))
(+ a (+ c d))
(+ a (+ c d))
c
(* c (+ 1 (+ (/ a c) (/ d c))))
(* c (+ 1 (+ (/ a c) (/ d c))))
(* c (+ 1 (+ (/ a c) (/ d c))))
c
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
d
(+ a d)
(+ a d)
(+ a d)
a
(* a (+ 1 (/ d a)))
(* a (+ 1 (/ d a)))
(* a (+ 1 (/ d a)))
a
(* -1 (* a (- (* -1 (/ d a)) 1)))
(* -1 (* a (- (* -1 (/ d a)) 1)))
(* -1 (* a (- (* -1 (/ d a)) 1)))
a
(+ a d)
(+ a d)
(+ a d)
d
(* d (+ 1 (/ a d)))
(* d (+ 1 (/ a d)))
(* d (+ 1 (/ a d)))
d
(* -1 (* d (- (* -1 (/ a d)) 1)))
(* -1 (* d (- (* -1 (/ a d)) 1)))
(* -1 (* d (- (* -1 (/ a d)) 1)))
(* 2 (+ a d))
(+ (* 2 c) (* 2 (+ a d)))
(+ (* 2 c) (* 2 (+ a d)))
(+ (* 2 c) (* 2 (+ a d)))
(* 2 c)
(* c (+ 2 (* 2 (/ (+ a d) c))))
(* c (+ 2 (* 2 (/ (+ a d) c))))
(* c (+ 2 (* 2 (/ (+ a d) c))))
(* 2 c)
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(* 2 (+ c d))
(+ (* 2 a) (* 2 (+ c d)))
(+ (* 2 a) (* 2 (+ c d)))
(+ (* 2 a) (* 2 (+ c d)))
(* 2 a)
(* a (+ 2 (* 2 (/ (+ c d) a))))
(* a (+ 2 (* 2 (/ (+ c d) a))))
(* a (+ 2 (* 2 (/ (+ c d) a))))
(* 2 a)
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(* 2 (+ a c))
(+ (* 2 d) (* 2 (+ a c)))
(+ (* 2 d) (* 2 (+ a c)))
(+ (* 2 d) (* 2 (+ a c)))
(* 2 d)
(* d (+ 2 (* 2 (/ (+ a c) d))))
(* d (+ 2 (* 2 (/ (+ a c) d))))
(* d (+ 2 (* 2 (/ (+ a c) d))))
(* 2 d)
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(+ a d)
(+ a (+ c d))
(+ a (+ c d))
(+ a (+ c d))
c
(* c (+ 1 (+ (/ a c) (/ d c))))
(* c (+ 1 (+ (/ a c) (/ d c))))
(* c (+ 1 (+ (/ a c) (/ d c))))
c
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(+ c d)
(+ a (+ c d))
(+ a (+ c d))
(+ a (+ c d))
a
(* a (+ 1 (+ (/ c a) (/ d a))))
(* a (+ 1 (+ (/ c a) (/ d a))))
(* a (+ 1 (+ (/ c a) (/ d a))))
a
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(+ a c)
(+ a (+ c d))
(+ a (+ c d))
(+ a (+ c d))
d
(* d (+ 1 (+ (/ a d) (/ c d))))
(* d (+ 1 (+ (/ a d) (/ c d))))
(* d (+ 1 (+ (/ a d) (/ c d))))
d
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
a
(+ a c)
(+ a c)
(+ a c)
c
(* c (+ 1 (/ a c)))
(* c (+ 1 (/ a c)))
(* c (+ 1 (/ a c)))
c
(* -1 (* c (- (* -1 (/ a c)) 1)))
(* -1 (* c (- (* -1 (/ a c)) 1)))
(* -1 (* c (- (* -1 (/ a c)) 1)))
c
(+ a c)
(+ a c)
(+ a c)
a
(* a (+ 1 (/ c a)))
(* a (+ 1 (/ c a)))
(* a (+ 1 (/ c a)))
a
(* -1 (* a (- (* -1 (/ c a)) 1)))
(* -1 (* a (- (* -1 (/ c a)) 1)))
(* -1 (* a (- (* -1 (/ c a)) 1)))
(* 2 d)
(+ (* 2 a) (* 2 d))
(+ (* 2 a) (* 2 d))
(+ (* 2 a) (* 2 d))
(* 2 a)
(* a (+ 2 (* 2 (/ d a))))
(* a (+ 2 (* 2 (/ d a))))
(* a (+ 2 (* 2 (/ d a))))
(* 2 a)
(* -1 (* a (- (* -2 (/ d a)) 2)))
(* -1 (* a (- (* -2 (/ d a)) 2)))
(* -1 (* a (- (* -2 (/ d a)) 2)))
(* 2 a)
(+ (* 2 a) (* 2 d))
(+ (* 2 a) (* 2 d))
(+ (* 2 a) (* 2 d))
(* 2 d)
(* d (+ 2 (* 2 (/ a d))))
(* d (+ 2 (* 2 (/ a d))))
(* d (+ 2 (* 2 (/ a d))))
(* 2 d)
(* -1 (* d (- (* -2 (/ a d)) 2)))
(* -1 (* d (- (* -2 (/ a d)) 2)))
(* -1 (* d (- (* -2 (/ a d)) 2)))
(/ 1 d)
(+ (* -1 (/ a (pow d 2))) (/ 1 d))
(+ (* a (- (/ a (pow d 3)) (/ 1 (pow d 2)))) (/ 1 d))
(+ (* a (- (* a (+ (* -1 (/ a (pow d 4))) (/ 1 (pow d 3)))) (/ 1 (pow d 2)))) (/ 1 d))
(/ 1 a)
(/ (+ 1 (* -1 (/ d a))) a)
(/ (- (+ 1 (/ (pow d 2) (pow a 2))) (/ d a)) a)
(/ (- (+ 1 (* -1 (/ (pow d 3) (pow a 3)))) (+ (* -1 (/ (pow d 2) (pow a 2))) (/ d a))) a)
(/ 1 a)
(* -1 (/ (- (/ d a) 1) a))
(* -1 (/ (- (* -1 (/ (- (/ (pow d 2) a) d) a)) 1) a))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow d 3) a) (pow d 2)) a)) d) a)) 1) a))
(/ 1 a)
(+ (* -1 (/ d (pow a 2))) (/ 1 a))
(+ (* d (- (/ d (pow a 3)) (/ 1 (pow a 2)))) (/ 1 a))
(+ (* d (- (* d (+ (* -1 (/ d (pow a 4))) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (/ 1 a))
(/ 1 d)
(/ (+ 1 (* -1 (/ a d))) d)
(/ (- (+ 1 (/ (pow a 2) (pow d 2))) (/ a d)) d)
(/ (- (+ 1 (* -1 (/ (pow a 3) (pow d 3)))) (+ (* -1 (/ (pow a 2) (pow d 2))) (/ a d))) d)
(/ 1 d)
(* -1 (/ (- (/ a d) 1) d))
(* -1 (/ (- (* -1 (/ (- (/ (pow a 2) d) a) d)) 1) d))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow a 3) d) (pow a 2)) d)) a) d)) 1) d))
Outputs
(* 2 (+ c d))
(*.f64 #s(literal 2 binary64) (+.f64 c d))
(+ (* 2 a) (* 2 (+ c d)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(+ (* 2 a) (* 2 (+ c d)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(+ (* 2 a) (* 2 (+ c d)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* a (+ 2 (* 2 (/ (+ c d) a))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* a (+ 2 (* 2 (/ (+ c d) a))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* a (+ 2 (* 2 (/ (+ c d) a))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* 2 (+ a c))
(*.f64 #s(literal 2 binary64) (+.f64 c a))
(+ (* 2 d) (* 2 (+ a c)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(+ (* 2 d) (* 2 (+ a c)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(+ (* 2 d) (* 2 (+ a c)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(* d (+ 2 (* 2 (/ (+ a c) d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* d (+ 2 (* 2 (/ (+ a c) d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* d (+ 2 (* 2 (/ (+ a c) d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* 2 (+ a d))
(*.f64 #s(literal 2 binary64) (+.f64 d a))
(+ (* 2 c) (* 2 (+ a d)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(+ (* 2 c) (* 2 (+ a d)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(+ (* 2 c) (* 2 (+ a d)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* c (+ 2 (* 2 (/ (+ a d) c))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* c (+ 2 (* 2 (/ (+ a d) c))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* c (+ 2 (* 2 (/ (+ a d) c))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(+ c d)
(+.f64 c d)
(+ a (+ c d))
(+.f64 c (+.f64 d a))
(+ a (+ c d))
(+.f64 c (+.f64 d a))
(+ a (+ c d))
(+.f64 c (+.f64 d a))
a
(* a (+ 1 (+ (/ c a) (/ d a))))
(+.f64 c (+.f64 d a))
(* a (+ 1 (+ (/ c a) (/ d a))))
(+.f64 c (+.f64 d a))
(* a (+ 1 (+ (/ c a) (/ d a))))
(+.f64 c (+.f64 d a))
a
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(*.f64 a (+.f64 (/.f64 (+.f64 c d) a) #s(literal 1 binary64)))
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(*.f64 a (+.f64 (/.f64 (+.f64 c d) a) #s(literal 1 binary64)))
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(*.f64 a (+.f64 (/.f64 (+.f64 c d) a) #s(literal 1 binary64)))
(+ a c)
(+.f64 c a)
(+ a (+ c d))
(+.f64 c (+.f64 d a))
(+ a (+ c d))
(+.f64 c (+.f64 d a))
(+ a (+ c d))
(+.f64 c (+.f64 d a))
d
(* d (+ 1 (+ (/ a d) (/ c d))))
(+.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 c d))))
(* d (+ 1 (+ (/ a d) (/ c d))))
(+.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 c d))))
(* d (+ 1 (+ (/ a d) (/ c d))))
(+.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 c d))))
d
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(*.f64 d (+.f64 (/.f64 (+.f64 c a) d) #s(literal 1 binary64)))
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(*.f64 d (+.f64 (/.f64 (+.f64 c a) d) #s(literal 1 binary64)))
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(*.f64 d (+.f64 (/.f64 (+.f64 c a) d) #s(literal 1 binary64)))
(+ a d)
(+.f64 d a)
(+ a (+ c d))
(+.f64 c (+.f64 d a))
(+ a (+ c d))
(+.f64 c (+.f64 d a))
(+ a (+ c d))
(+.f64 c (+.f64 d a))
c
(* c (+ 1 (+ (/ a c) (/ d c))))
(+.f64 a (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 d c)) c))
(* c (+ 1 (+ (/ a c) (/ d c))))
(+.f64 a (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 d c)) c))
(* c (+ 1 (+ (/ a c) (/ d c))))
(+.f64 a (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 d c)) c))
c
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(*.f64 c (+.f64 (/.f64 (+.f64 d a) c) #s(literal 1 binary64)))
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(*.f64 c (+.f64 (/.f64 (+.f64 d a) c) #s(literal 1 binary64)))
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(*.f64 c (+.f64 (/.f64 (+.f64 d a) c) #s(literal 1 binary64)))
d
(+ a d)
(+.f64 d a)
(+ a d)
(+.f64 d a)
(+ a d)
(+.f64 d a)
a
(* a (+ 1 (/ d a)))
(+.f64 d a)
(* a (+ 1 (/ d a)))
(+.f64 d a)
(* a (+ 1 (/ d a)))
(+.f64 d a)
a
(* -1 (* a (- (* -1 (/ d a)) 1)))
(+.f64 d a)
(* -1 (* a (- (* -1 (/ d a)) 1)))
(+.f64 d a)
(* -1 (* a (- (* -1 (/ d a)) 1)))
(+.f64 d a)
a
(+ a d)
(+.f64 d a)
(+ a d)
(+.f64 d a)
(+ a d)
(+.f64 d a)
d
(* d (+ 1 (/ a d)))
(+.f64 d a)
(* d (+ 1 (/ a d)))
(+.f64 d a)
(* d (+ 1 (/ a d)))
(+.f64 d a)
d
(* -1 (* d (- (* -1 (/ a d)) 1)))
(+.f64 d a)
(* -1 (* d (- (* -1 (/ a d)) 1)))
(+.f64 d a)
(* -1 (* d (- (* -1 (/ a d)) 1)))
(+.f64 d a)
(* 2 (+ a d))
(*.f64 #s(literal 2 binary64) (+.f64 d a))
(+ (* 2 c) (* 2 (+ a d)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(+ (* 2 c) (* 2 (+ a d)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(+ (* 2 c) (* 2 (+ a d)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* c (+ 2 (* 2 (/ (+ a d) c))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* c (+ 2 (* 2 (/ (+ a d) c))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* c (+ 2 (* 2 (/ (+ a d) c))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* 2 c)
(*.f64 #s(literal 2 binary64) c)
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* -1 (* c (- (* -2 (/ (+ a d) c)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* 2 (+ c d))
(*.f64 #s(literal 2 binary64) (+.f64 c d))
(+ (* 2 a) (* 2 (+ c d)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(+ (* 2 a) (* 2 (+ c d)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(+ (* 2 a) (* 2 (+ c d)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* a (+ 2 (* 2 (/ (+ c d) a))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* a (+ 2 (* 2 (/ (+ c d) a))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* a (+ 2 (* 2 (/ (+ c d) a))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* -1 (* a (- (* -2 (/ (+ c d) a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* 2 (+ a c))
(*.f64 #s(literal 2 binary64) (+.f64 c a))
(+ (* 2 d) (* 2 (+ a c)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(+ (* 2 d) (* 2 (+ a c)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(+ (* 2 d) (* 2 (+ a c)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(* d (+ 2 (* 2 (/ (+ a c) d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* d (+ 2 (* 2 (/ (+ a c) d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* d (+ 2 (* 2 (/ (+ a c) d))))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(* -1 (* d (- (* -2 (/ (+ a c) d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 c (+.f64 d a)))
(+ a d)
(+.f64 d a)
(+ a (+ c d))
(+.f64 c (+.f64 d a))
(+ a (+ c d))
(+.f64 c (+.f64 d a))
(+ a (+ c d))
(+.f64 c (+.f64 d a))
c
(* c (+ 1 (+ (/ a c) (/ d c))))
(+.f64 a (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 d c)) c))
(* c (+ 1 (+ (/ a c) (/ d c))))
(+.f64 a (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 d c)) c))
(* c (+ 1 (+ (/ a c) (/ d c))))
(+.f64 a (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 d c)) c))
c
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(*.f64 c (+.f64 (/.f64 (+.f64 d a) c) #s(literal 1 binary64)))
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(*.f64 c (+.f64 (/.f64 (+.f64 d a) c) #s(literal 1 binary64)))
(* -1 (* c (- (* -1 (/ (+ a d) c)) 1)))
(*.f64 c (+.f64 (/.f64 (+.f64 d a) c) #s(literal 1 binary64)))
(+ c d)
(+.f64 c d)
(+ a (+ c d))
(+.f64 c (+.f64 d a))
(+ a (+ c d))
(+.f64 c (+.f64 d a))
(+ a (+ c d))
(+.f64 c (+.f64 d a))
a
(* a (+ 1 (+ (/ c a) (/ d a))))
(+.f64 c (+.f64 d a))
(* a (+ 1 (+ (/ c a) (/ d a))))
(+.f64 c (+.f64 d a))
(* a (+ 1 (+ (/ c a) (/ d a))))
(+.f64 c (+.f64 d a))
a
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(*.f64 a (+.f64 (/.f64 (+.f64 c d) a) #s(literal 1 binary64)))
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(*.f64 a (+.f64 (/.f64 (+.f64 c d) a) #s(literal 1 binary64)))
(* -1 (* a (- (* -1 (/ (+ c d) a)) 1)))
(*.f64 a (+.f64 (/.f64 (+.f64 c d) a) #s(literal 1 binary64)))
(+ a c)
(+.f64 c a)
(+ a (+ c d))
(+.f64 c (+.f64 d a))
(+ a (+ c d))
(+.f64 c (+.f64 d a))
(+ a (+ c d))
(+.f64 c (+.f64 d a))
d
(* d (+ 1 (+ (/ a d) (/ c d))))
(+.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 c d))))
(* d (+ 1 (+ (/ a d) (/ c d))))
(+.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 c d))))
(* d (+ 1 (+ (/ a d) (/ c d))))
(+.f64 a (*.f64 d (+.f64 #s(literal 1 binary64) (/.f64 c d))))
d
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(*.f64 d (+.f64 (/.f64 (+.f64 c a) d) #s(literal 1 binary64)))
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(*.f64 d (+.f64 (/.f64 (+.f64 c a) d) #s(literal 1 binary64)))
(* -1 (* d (- (* -1 (/ (+ a c) d)) 1)))
(*.f64 d (+.f64 (/.f64 (+.f64 c a) d) #s(literal 1 binary64)))
a
(+ a c)
(+.f64 c a)
(+ a c)
(+.f64 c a)
(+ a c)
(+.f64 c a)
c
(* c (+ 1 (/ a c)))
(+.f64 c a)
(* c (+ 1 (/ a c)))
(+.f64 c a)
(* c (+ 1 (/ a c)))
(+.f64 c a)
c
(* -1 (* c (- (* -1 (/ a c)) 1)))
(+.f64 c a)
(* -1 (* c (- (* -1 (/ a c)) 1)))
(+.f64 c a)
(* -1 (* c (- (* -1 (/ a c)) 1)))
(+.f64 c a)
c
(+ a c)
(+.f64 c a)
(+ a c)
(+.f64 c a)
(+ a c)
(+.f64 c a)
a
(* a (+ 1 (/ c a)))
(+.f64 c a)
(* a (+ 1 (/ c a)))
(+.f64 c a)
(* a (+ 1 (/ c a)))
(+.f64 c a)
a
(* -1 (* a (- (* -1 (/ c a)) 1)))
(+.f64 c a)
(* -1 (* a (- (* -1 (/ c a)) 1)))
(+.f64 c a)
(* -1 (* a (- (* -1 (/ c a)) 1)))
(+.f64 c a)
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(+ (* 2 a) (* 2 d))
(*.f64 #s(literal 2 binary64) (+.f64 d a))
(+ (* 2 a) (* 2 d))
(*.f64 #s(literal 2 binary64) (+.f64 d a))
(+ (* 2 a) (* 2 d))
(*.f64 #s(literal 2 binary64) (+.f64 d a))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* a (+ 2 (* 2 (/ d a))))
(*.f64 #s(literal 2 binary64) (+.f64 d a))
(* a (+ 2 (* 2 (/ d a))))
(*.f64 #s(literal 2 binary64) (+.f64 d a))
(* a (+ 2 (* 2 (/ d a))))
(*.f64 #s(literal 2 binary64) (+.f64 d a))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* -1 (* a (- (* -2 (/ d a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 d a))
(* -1 (* a (- (* -2 (/ d a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 d a))
(* -1 (* a (- (* -2 (/ d a)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 d a))
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(+ (* 2 a) (* 2 d))
(*.f64 #s(literal 2 binary64) (+.f64 d a))
(+ (* 2 a) (* 2 d))
(*.f64 #s(literal 2 binary64) (+.f64 d a))
(+ (* 2 a) (* 2 d))
(*.f64 #s(literal 2 binary64) (+.f64 d a))
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(* d (+ 2 (* 2 (/ a d))))
(*.f64 #s(literal 2 binary64) (+.f64 d a))
(* d (+ 2 (* 2 (/ a d))))
(*.f64 #s(literal 2 binary64) (+.f64 d a))
(* d (+ 2 (* 2 (/ a d))))
(*.f64 #s(literal 2 binary64) (+.f64 d a))
(* 2 d)
(*.f64 #s(literal 2 binary64) d)
(* -1 (* d (- (* -2 (/ a d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 d a))
(* -1 (* d (- (* -2 (/ a d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 d a))
(* -1 (* d (- (* -2 (/ a d)) 2)))
(*.f64 #s(literal 2 binary64) (+.f64 d a))
(/ 1 d)
(/.f64 #s(literal 1 binary64) d)
(+ (* -1 (/ a (pow d 2))) (/ 1 d))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a d)) d)
(+ (* a (- (/ a (pow d 3)) (/ 1 (pow d 2)))) (/ 1 d))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (+.f64 #s(literal -1 binary64) (/.f64 a d))) d)) d)
(+ (* a (- (* a (+ (* -1 (/ a (pow d 4))) (/ 1 (pow d 3)))) (/ 1 (pow d 2)))) (/ 1 d))
(+.f64 (*.f64 a (*.f64 a (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 d d)) d) (/.f64 a (pow.f64 d #s(literal 4 binary64)))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a d)) d))
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(/ (+ 1 (* -1 (/ d a))) a)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 d a)) a)
(/ (- (+ 1 (/ (pow d 2) (pow a 2))) (/ d a)) a)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 d a) (+.f64 #s(literal -1 binary64) (/.f64 d a)))) a)
(/ (- (+ 1 (* -1 (/ (pow d 3) (pow a 3)))) (+ (* -1 (/ (pow d 2) (pow a 2))) (/ d a))) a)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 d d) (-.f64 #s(literal 1 binary64) (/.f64 d a))) a) d) a)) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(* -1 (/ (- (/ d a) 1) a))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 d a)) a)
(* -1 (/ (- (* -1 (/ (- (/ (pow d 2) a) d) a)) 1) a))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 d a) (+.f64 #s(literal -1 binary64) (/.f64 d a)))) a)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow d 3) a) (pow d 2)) a)) d) a)) 1) a))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 d d) (-.f64 #s(literal 1 binary64) (/.f64 d a))) a) d) a)) a)
(/ 1 a)
(/.f64 #s(literal 1 binary64) a)
(+ (* -1 (/ d (pow a 2))) (/ 1 a))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 d a)) a)
(+ (* d (- (/ d (pow a 3)) (/ 1 (pow a 2)))) (/ 1 a))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 d a) (+.f64 #s(literal -1 binary64) (/.f64 d a)))) a)
(+ (* d (- (* d (+ (* -1 (/ d (pow a 4))) (/ 1 (pow a 3)))) (/ 1 (pow a 2)))) (/ 1 a))
(+.f64 (*.f64 (*.f64 d d) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a a))) (/.f64 d (pow.f64 a #s(literal 4 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 d a)) a))
(/ 1 d)
(/.f64 #s(literal 1 binary64) d)
(/ (+ 1 (* -1 (/ a d))) d)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a d)) d)
(/ (- (+ 1 (/ (pow a 2) (pow d 2))) (/ a d)) d)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (+.f64 #s(literal -1 binary64) (/.f64 a d))) d)) d)
(/ (- (+ 1 (* -1 (/ (pow a 3) (pow d 3)))) (+ (* -1 (/ (pow a 2) (pow d 2))) (/ a d))) d)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 a d)))) d) a) d)) d)
(/ 1 d)
(/.f64 #s(literal 1 binary64) d)
(* -1 (/ (- (/ a d) 1) d))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 a d)) d)
(* -1 (/ (- (* -1 (/ (- (/ (pow a 2) d) a) d)) 1) d))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (+.f64 #s(literal -1 binary64) (/.f64 a d))) d)) d)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow a 3) d) (pow a 2)) d)) a) d)) 1) d))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 a (*.f64 a (-.f64 #s(literal 1 binary64) (/.f64 a d)))) d) a) d)) d)

eval181.0ms (2.7%)

Memory
15.6MiB live, 353.8MiB allocated
Compiler

Compiled 33 845 to 2 369 computations (93% saved)

prune140.0ms (2.1%)

Memory
-0.4MiB live, 277.6MiB allocated
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New1 42701 427
Fresh000
Picked033
Done055
Total1 42781 435
Accuracy
100.0%
Counts
1 435 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓8.7%
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a d)))
✓11.7%
(*.f64 (+.f64 (+.f64 c a) d) #s(literal 2 binary64))
✓100.0%
(*.f64 (+.f64 (+.f64 b c) (+.f64 a d)) #s(literal 2 binary64))
✓11.7%
(*.f64 (+.f64 (+.f64 a d) c) #s(literal 2 binary64))
✓11.7%
(*.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64))
✓8.7%
(*.f64 (+.f64 a d) #s(literal 2 binary64))
✓11.7%
(*.f64 c #s(literal 2 binary64))
✓6.2%
(*.f64 b #s(literal 2 binary64))
Compiler

Compiled 148 to 90 computations (39.2% saved)

regimes35.0ms (0.5%)

Memory
-0.1MiB live, 77.8MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
(*.f64 b #s(literal 2 binary64))
(*.f64 c #s(literal 2 binary64))
(*.f64 (+.f64 a d) #s(literal 2 binary64))
(*.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64))
(*.f64 (+.f64 c (+.f64 d a)) #s(literal 2 binary64))
(*.f64 (+.f64 (+.f64 a d) c) #s(literal 2 binary64))
(*.f64 (+.f64 (+.f64 c a) d) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a d)))
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
(*.f64 (+.f64 (+.f64 b c) (+.f64 a d)) #s(literal 2 binary64))
Outputs
(*.f64 (+.f64 (+.f64 b c) (+.f64 a d)) #s(literal 2 binary64))
Calls

8 calls:

6.0ms
(+.f64 a (+.f64 b (+.f64 c d)))
5.0ms
b
4.0ms
(+.f64 c d)
4.0ms
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
4.0ms
a
Results
AccuracySegmentsBranch
100.0%1a
100.0%1b
100.0%1c
100.0%1d
100.0%1(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
100.0%1(+.f64 a (+.f64 b (+.f64 c d)))
100.0%1(+.f64 b (+.f64 c d))
100.0%1(+.f64 c d)
Compiler

Compiled 60 to 43 computations (28.3% saved)

regimes30.0ms (0.5%)

Memory
25.8MiB live, 64.0MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
(*.f64 b #s(literal 2 binary64))
(*.f64 c #s(literal 2 binary64))
(*.f64 (+.f64 a d) #s(literal 2 binary64))
(*.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64))
(*.f64 (+.f64 c (+.f64 d a)) #s(literal 2 binary64))
(*.f64 (+.f64 (+.f64 a d) c) #s(literal 2 binary64))
(*.f64 (+.f64 (+.f64 c a) d) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a d)))
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
Outputs
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
Calls

8 calls:

5.0ms
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
4.0ms
(+.f64 c d)
3.0ms
b
3.0ms
c
3.0ms
d
Results
AccuracySegmentsBranch
94.1%1a
94.1%1b
94.1%1c
94.1%1d
94.1%1(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
94.1%1(+.f64 a (+.f64 b (+.f64 c d)))
94.1%1(+.f64 b (+.f64 c d))
94.1%1(+.f64 c d)
Compiler

Compiled 60 to 43 computations (28.3% saved)

regimes18.0ms (0.3%)

Memory
-0.2MiB live, 37.5MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
(*.f64 b #s(literal 2 binary64))
(*.f64 c #s(literal 2 binary64))
(*.f64 (+.f64 a d) #s(literal 2 binary64))
(*.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64))
(*.f64 (+.f64 c (+.f64 d a)) #s(literal 2 binary64))
(*.f64 (+.f64 (+.f64 a d) c) #s(literal 2 binary64))
(*.f64 (+.f64 (+.f64 c a) d) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 a d)))
Outputs
(*.f64 (+.f64 a d) #s(literal 2 binary64))
(*.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64))
Calls

5 calls:

5.0ms
a
3.0ms
c
3.0ms
b
3.0ms
(+.f64 c d)
3.0ms
d
Results
AccuracySegmentsBranch
11.7%1d
11.7%1(+.f64 c d)
13.4%2b
11.7%1c
13.4%2a
Compiler

Compiled 27 to 21 computations (22.2% saved)

regimes8.0ms (0.1%)

Memory
-28.8MiB live, 10.5MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
(*.f64 b #s(literal 2 binary64))
(*.f64 c #s(literal 2 binary64))
(*.f64 (+.f64 a d) #s(literal 2 binary64))
Outputs
(*.f64 (+.f64 a d) #s(literal 2 binary64))
(*.f64 c #s(literal 2 binary64))
Calls

2 calls:

5.0ms
a
2.0ms
b
Results
AccuracySegmentsBranch
13.3%2a
13.3%2b
Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0.1%)

Memory
17.4MiB live, 17.4MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 b #s(literal 2 binary64))
(*.f64 c #s(literal 2 binary64))
Outputs
(*.f64 c #s(literal 2 binary64))
Calls

4 calls:

2.0ms
a
2.0ms
d
2.0ms
b
2.0ms
c
Results
AccuracySegmentsBranch
11.7%1d
11.7%1c
11.7%1a
11.7%1b
Compiler

Compiled 20 to 16 computations (20% saved)

regimes6.0ms (0.1%)

Memory
15.3MiB live, 15.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
a
1.0ms
d
1.0ms
c
1.0ms
b
Results
AccuracySegmentsBranch
6.2%1d
6.2%1b
6.2%1a
6.2%1c
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-2.4942979987155933
-2.4940110677268903
Compiler

Compiled 16 to 16 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
0.0ms
-2.4942979987155933
-2.4940110677268903
Compiler

Compiled 16 to 16 computations (0% saved)

simplify9.0ms (0.1%)

Memory
-21.3MiB live, 16.6MiB allocated
Algorithm
1×egg-herbie
Rules
14×+-commutative_binary64
12×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02252
13552
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 (+.f64 b c) (+.f64 a d)) #s(literal 2 binary64))
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
(if (<=.f64 b #s(literal -2808219547646873/1125899906842624 binary64)) (*.f64 (+.f64 a d) #s(literal 2 binary64)) (*.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64)))
(if (<=.f64 b #s(literal -2808219547646873/1125899906842624 binary64)) (*.f64 (+.f64 a d) #s(literal 2 binary64)) (*.f64 c #s(literal 2 binary64)))
(*.f64 c #s(literal 2 binary64))
(*.f64 b #s(literal 2 binary64))
Outputs
(*.f64 (+.f64 (+.f64 b c) (+.f64 a d)) #s(literal 2 binary64))
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 b (+.f64 c d))))
(if (<=.f64 b #s(literal -2808219547646873/1125899906842624 binary64)) (*.f64 (+.f64 a d) #s(literal 2 binary64)) (*.f64 (+.f64 a (+.f64 c d)) #s(literal 2 binary64)))
(if (<=.f64 b #s(literal -2808219547646873/1125899906842624 binary64)) (*.f64 (+.f64 a d) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 a (+.f64 c d))))
(if (<=.f64 b #s(literal -2808219547646873/1125899906842624 binary64)) (*.f64 (+.f64 a d) #s(literal 2 binary64)) (*.f64 c #s(literal 2 binary64)))
(*.f64 c #s(literal 2 binary64))
(*.f64 b #s(literal 2 binary64))

soundness440.0ms (6.7%)

Memory
16.5MiB live, 324.9MiB allocated
Rules
6 904×accelerator-lowering-fma.f32
6 904×accelerator-lowering-fma.f64
6 242×accelerator-lowering-fma.f32
6 242×accelerator-lowering-fma.f64
4 710×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0137890
1436890
21261890
34083878
08128875
0924
15424
256524
0825624
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 119 to 71 computations (40.3% saved)

preprocess64.0ms (1%)

Memory
2.4MiB live, 120.2MiB allocated
Remove

(sort a b c d)

Compiler

Compiled 220 to 118 computations (46.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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