Expression, p6

Time bar (total: 4.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

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

Compiled 41 to 33 computations (19.5% saved)

sample2.2s (51.1%)

Memory
33.1MiB live, 1 749.3MiB allocated
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 759.0ms
ival-<=: 340.0ms (44.8% of total)
ival-add: 287.0ms (37.8% of total)
ival-mult: 62.0ms (8.2% of total)
ival-and: 39.0ms (5.1% of total)
exact: 29.0ms (3.8% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain139.0ms (3.2%)

Memory
-19.2MiB live, 220.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
8611(-13.989410336457514 -2.0360855483014446 3.2311832385191486 12.892237113368259)39(-13.132988690069682 -2.9306780471068437 3.275682664622776 12.635005907066269)(+.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)))cancellation5879
Confusion
Predicted +Predicted -
+5181
-7117
Precision
0.8793103448275862
Recall
0.38636363636363635
Confusion?
Predicted +Predicted MaybePredicted -
+515328
-72691
Precision?
0.7591240875912408
Recall?
0.7878787878787878
Freqs
test
numberfreq
0198
158
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
68.0ms512×0valid
Compiler

Compiled 71 to 31 computations (56.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-add: 39.0ms (89.7% of total)
ival-mult: 3.0ms (6.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess248.0ms (5.8%)

Memory
29.1MiB live, 66.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051132
1150126
2449126
32011126
45325126
56447126
66863126
77028126
87070126
97075126
107130126
117138126
127138126
137138126
147530126
157530126
167530126
099
0139
1219
2579
31599
42869
52879
02879
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
Outputs
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (+.f64 d c) b) a))
Symmetry

(sort a b c d)

Compiler

Compiled 9 to 9 computations (0% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.0%
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
Compiler

Compiled 9 to 9 computations (0% saved)

simplify25.0ms (0.6%)

Memory
-1.5MiB live, 39.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
01329
12129
25729
315929
428629
528729
028729
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
(+.f64 a (+.f64 b (+.f64 c d)))
a
(+.f64 b (+.f64 c d))
b
(+.f64 c d)
c
d
#s(literal 2 binary64)
Outputs
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 (+.f64 d c) b) a))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 (+.f64 (+.f64 d c) b) a)
a
(+.f64 b (+.f64 c d))
(+.f64 (+.f64 d c) b)
b
(+.f64 c d)
(+.f64 d c)
c
d
#s(literal 2 binary64)

localize21.0ms (0.5%)

Memory
10.2MiB live, 48.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 c d)
accuracy0
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
accuracy0.42806625976844204
(+.f64 b (+.f64 c d))
accuracy2.9426323543290396
(+.f64 a (+.f64 b (+.f64 c d)))
Samples
15.0ms256×0valid
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 (56.9% of total)
ival-mult: 2.0ms (37.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series42.0ms (1%)

Memory
-25.3MiB live, 12.7MiB allocated
Counts
4 → 156
Calls
Call 1
Inputs
#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())
#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())
#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())
Outputs
#s(alt (* 2 (+ a (+ b d))) (taylor 0 c) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 c) (* 2 (+ a (+ b d)))) (taylor 0 c) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 c) (* 2 (+ a (+ b d)))) (taylor 0 c) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 c) (* 2 (+ a (+ b d)))) (taylor 0 c) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b d)) (taylor 0 c) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b (+ c d))) (taylor 0 c) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b (+ c d))) (taylor 0 c) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b (+ c d))) (taylor 0 c) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (+ b d) (taylor 0 c) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 c) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 c) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 c) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt d (taylor 0 c) (#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())) ())
#s(alt (+ c d) (taylor 0 c) (#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())) ())
#s(alt (+ c d) (taylor 0 c) (#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())) ())
#s(alt (+ c d) (taylor 0 c) (#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())) ())
#s(alt (* 2 c) (taylor inf c) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c)))) (taylor inf c) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c)))) (taylor inf c) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c)))) (taylor inf c) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt c (taylor inf c) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c))))) (taylor inf c) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c))))) (taylor inf c) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c))))) (taylor inf c) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt c (taylor inf c) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (+ (/ b c) (/ d c)))) (taylor inf c) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (+ (/ b c) (/ d c)))) (taylor inf c) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (+ (/ b c) (/ d c)))) (taylor inf c) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt c (taylor inf c) (#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (/ d c))) (taylor inf c) (#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (/ d c))) (taylor inf c) (#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (/ d c))) (taylor inf c) (#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())) ())
#s(alt (* 2 c) (taylor -inf c) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2))) (taylor -inf c) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2))) (taylor -inf c) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2))) (taylor -inf c) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt c (taylor -inf c) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1))) (taylor -inf c) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1))) (taylor -inf c) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1))) (taylor -inf c) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt c (taylor -inf c) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ (+ b d) c)) 1))) (taylor -inf c) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ (+ b d) c)) 1))) (taylor -inf c) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ (+ b d) c)) 1))) (taylor -inf c) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt c (taylor -inf c) (#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ d c)) 1))) (taylor -inf c) (#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ d c)) 1))) (taylor -inf c) (#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ d c)) 1))) (taylor -inf c) (#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())) ())
#s(alt (* 2 (+ a (+ c d))) (taylor 0 b) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 b) (* 2 (+ a (+ c d)))) (taylor 0 b) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 b) (* 2 (+ a (+ c d)))) (taylor 0 b) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 b) (* 2 (+ a (+ c d)))) (taylor 0 b) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ a (+ c d)) (taylor 0 b) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b (+ c d))) (taylor 0 b) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b (+ c d))) (taylor 0 b) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b (+ c d))) (taylor 0 b) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (+ c d) (taylor 0 b) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 b) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 b) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 b) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* 2 b) (taylor inf b) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 2 (* 2 (/ (+ a (+ c d)) b)))) (taylor inf b) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 2 (* 2 (/ (+ a (+ c d)) b)))) (taylor inf b) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 2 (* 2 (/ (+ a (+ c d)) b)))) (taylor inf b) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt b (taylor inf b) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b))))) (taylor inf b) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b))))) (taylor inf b) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b))))) (taylor inf b) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt b (taylor inf b) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (+ (/ c b) (/ d b)))) (taylor inf b) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (+ (/ c b) (/ d b)))) (taylor inf b) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (+ (/ c b) (/ d b)))) (taylor inf b) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* 2 b) (taylor -inf b) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2))) (taylor -inf b) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2))) (taylor -inf b) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2))) (taylor -inf b) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt b (taylor -inf b) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1))) (taylor -inf b) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1))) (taylor -inf b) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1))) (taylor -inf b) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt b (taylor -inf b) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ (+ c d) b)) 1))) (taylor -inf b) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ (+ c d) b)) 1))) (taylor -inf b) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ (+ c d) b)) 1))) (taylor -inf b) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* 2 (+ b (+ c d))) (taylor 0 a) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 a) (* 2 (+ b (+ c d)))) (taylor 0 a) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 a) (* 2 (+ b (+ c d)))) (taylor 0 a) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 a) (* 2 (+ b (+ c d)))) (taylor 0 a) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 a) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b (+ c d))) (taylor 0 a) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b (+ c d))) (taylor 0 a) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b (+ c d))) (taylor 0 a) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* 2 a) (taylor inf a) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (+ 2 (* 2 (/ (+ b (+ c d)) a)))) (taylor inf a) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (+ 2 (* 2 (/ (+ b (+ c d)) a)))) (taylor inf a) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* a (+ 2 (* 2 (/ (+ b (+ c d)) a)))) (taylor inf a) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt a (taylor inf a) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a))))) (taylor inf a) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a))))) (taylor inf a) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a))))) (taylor inf a) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* 2 a) (taylor -inf a) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2))) (taylor -inf a) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2))) (taylor -inf a) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2))) (taylor -inf a) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt a (taylor -inf a) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1))) (taylor -inf a) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1))) (taylor -inf a) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1))) (taylor -inf a) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* 2 (+ a (+ b c))) (taylor 0 d) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 d) (* 2 (+ a (+ b c)))) (taylor 0 d) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 d) (* 2 (+ a (+ b c)))) (taylor 0 d) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 d) (* 2 (+ a (+ b c)))) (taylor 0 d) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b c)) (taylor 0 d) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b (+ c d))) (taylor 0 d) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b (+ c d))) (taylor 0 d) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b (+ c d))) (taylor 0 d) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (+ b c) (taylor 0 d) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 d) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 d) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 d) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt c (taylor 0 d) (#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())) ())
#s(alt (+ c d) (taylor 0 d) (#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())) ())
#s(alt (+ c d) (taylor 0 d) (#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())) ())
#s(alt (+ c d) (taylor 0 d) (#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor inf d) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* d (+ 2 (* 2 (/ (+ a (+ b c)) d)))) (taylor inf d) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* d (+ 2 (* 2 (/ (+ a (+ b c)) d)))) (taylor inf d) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* d (+ 2 (* 2 (/ (+ a (+ b c)) d)))) (taylor inf d) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt d (taylor inf d) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))) (taylor inf d) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))) (taylor inf d) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))) (taylor inf d) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt d (taylor inf d) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (+ (/ b d) (/ c d)))) (taylor inf d) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (+ (/ b d) (/ c d)))) (taylor inf d) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (+ (/ b d) (/ c d)))) (taylor inf d) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt d (taylor inf d) (#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (/ c d))) (taylor inf d) (#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (/ c d))) (taylor inf d) (#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (/ c d))) (taylor inf d) (#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor -inf d) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2))) (taylor -inf d) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2))) (taylor -inf d) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2))) (taylor -inf d) (#s(alt (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt d (taylor -inf d) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1))) (taylor -inf d) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1))) (taylor -inf d) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1))) (taylor -inf d) (#s(alt (+.f64 a (+.f64 b (+.f64 c d))) (patch (+.f64 a (+.f64 b (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt d (taylor -inf d) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (+ b c) d)) 1))) (taylor -inf d) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (+ b c) d)) 1))) (taylor -inf d) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (+ b c) d)) 1))) (taylor -inf d) (#s(alt (+.f64 b (+.f64 c d)) (patch (+.f64 b (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt d (taylor -inf d) (#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ c d)) 1))) (taylor -inf d) (#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ c d)) 1))) (taylor -inf d) (#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ c d)) 1))) (taylor -inf d) (#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
34.0ms
c
@inf
((* (+ a (+ b (+ c d))) 2) (+ a (+ b (+ c d))) (+ b (+ c d)) (+ c d))
1.0ms
d
@inf
((* (+ a (+ b (+ c d))) 2) (+ a (+ b (+ c d))) (+ b (+ c d)) (+ c d))
1.0ms
b
@inf
((* (+ a (+ b (+ c d))) 2) (+ a (+ b (+ c d))) (+ b (+ c d)) (+ c d))
0.0ms
d
@-inf
((* (+ a (+ b (+ c d))) 2) (+ a (+ b (+ c d))) (+ b (+ c d)) (+ c d))
0.0ms
c
@-inf
((* (+ a (+ b (+ c d))) 2) (+ a (+ b (+ c d))) (+ b (+ c d)) (+ c d))

simplify129.0ms (3%)

Memory
-17.6MiB live, 139.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0137890
1436890
21261890
34089878
08115875
Stop Event
iter limit
node limit
Counts
156 → 136
Calls
Call 1
Inputs
(* 2 (+ a (+ b d)))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ a (+ b d))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ b d)
(+ b (+ c d))
(+ b (+ c d))
(+ b (+ c d))
d
(+ c d)
(+ c d)
(+ c d)
(* 2 c)
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
c
(* c (+ 1 (+ (/ b c) (/ d c))))
(* c (+ 1 (+ (/ b c) (/ d c))))
(* c (+ 1 (+ (/ b c) (/ d c))))
c
(* c (+ 1 (/ d c)))
(* c (+ 1 (/ d c)))
(* c (+ 1 (/ 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)))
c
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
c
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
c
(* -1 (* c (- (* -1 (/ d c)) 1)))
(* -1 (* c (- (* -1 (/ d c)) 1)))
(* -1 (* c (- (* -1 (/ d c)) 1)))
(* 2 (+ a (+ c d)))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(+ a (+ c d))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ c d)
(+ b (+ c d))
(+ b (+ c d))
(+ b (+ 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))))
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
(* b (+ 1 (+ (/ c b) (/ d b))))
(* b (+ 1 (+ (/ c b) (/ d b))))
(* b (+ 1 (+ (/ c b) (/ 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)))
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)))
b
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(* 2 (+ b (+ c d)))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ b (+ c d))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ 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))))
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)))))
(* 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)))
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)))
(* 2 (+ a (+ b c)))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ a (+ b c))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ b c)
(+ b (+ c d))
(+ b (+ c d))
(+ b (+ c d))
c
(+ c d)
(+ c d)
(+ c d)
(* 2 d)
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* d (+ 2 (* 2 (/ (+ 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
(* d (+ 1 (+ (/ b d) (/ c d))))
(* d (+ 1 (+ (/ b d) (/ c d))))
(* d (+ 1 (+ (/ b d) (/ c d))))
d
(* d (+ 1 (/ c d)))
(* d (+ 1 (/ c d)))
(* d (+ 1 (/ 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)))
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)))
d
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
d
(* -1 (* d (- (* -1 (/ c d)) 1)))
(* -1 (* d (- (* -1 (/ c d)) 1)))
(* -1 (* d (- (* -1 (/ c d)) 1)))
Outputs
(* 2 (+ a (+ b d)))
(*.f64 (+.f64 (+.f64 d b) a) #s(literal 2 binary64))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(+ a (+ b d))
(+.f64 (+.f64 d b) a)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(+ b d)
(+.f64 d b)
(+ b (+ c d))
(+.f64 (+.f64 c d) b)
(+ b (+ c d))
(+.f64 (+.f64 c d) b)
(+ b (+ c d))
(+.f64 (+.f64 c d) b)
d
(+ c d)
(+.f64 c d)
(+ c d)
(+.f64 c d)
(+ c d)
(+.f64 c d)
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(+.f64 (+.f64 (+.f64 c b) a) d)
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(+.f64 (+.f64 (+.f64 c b) a) d)
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(+.f64 (+.f64 (+.f64 c b) a) d)
c
(* c (+ 1 (+ (/ b c) (/ d c))))
(+.f64 (+.f64 c d) b)
(* c (+ 1 (+ (/ b c) (/ d c))))
(+.f64 (+.f64 c d) b)
(* c (+ 1 (+ (/ b c) (/ d c))))
(+.f64 (+.f64 c d) b)
c
(* c (+ 1 (/ d c)))
(+.f64 c d)
(* c (+ 1 (/ d c)))
(+.f64 c d)
(* c (+ 1 (/ d c)))
(+.f64 c d)
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
c
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(+.f64 (+.f64 (+.f64 c b) a) d)
c
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(+.f64 (+.f64 c d) b)
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(+.f64 (+.f64 c d) b)
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(+.f64 (+.f64 c d) b)
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)
(* 2 (+ a (+ c d)))
(*.f64 (+.f64 (+.f64 c d) a) #s(literal 2 binary64))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(+ a (+ c d))
(+.f64 (+.f64 c d) a)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(+ c d)
(+.f64 c d)
(+ b (+ c d))
(+.f64 (+.f64 c d) b)
(+ b (+ c d))
(+.f64 (+.f64 c d) b)
(+ b (+ c d))
(+.f64 (+.f64 c d) b)
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
b
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(+.f64 (+.f64 (+.f64 c b) a) d)
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(+.f64 (+.f64 (+.f64 c b) a) d)
(* b (+ 1 (+ (/ a b) (+ (/ c b) (/ d b)))))
(+.f64 (+.f64 (+.f64 c b) a) d)
b
(* b (+ 1 (+ (/ c b) (/ d b))))
(+.f64 (+.f64 c d) b)
(* b (+ 1 (+ (/ c b) (/ d b))))
(+.f64 (+.f64 c d) b)
(* b (+ 1 (+ (/ c b) (/ d b))))
(+.f64 (+.f64 c d) b)
(* 2 b)
(*.f64 b #s(literal 2 binary64))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(* -1 (* b (- (* -2 (/ (+ a (+ c d)) b)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
b
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(* -1 (* b (- (* -1 (/ (+ a (+ c d)) b)) 1)))
(+.f64 (+.f64 (+.f64 c b) a) d)
b
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(+.f64 (+.f64 c d) b)
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(+.f64 (+.f64 c d) b)
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(+.f64 (+.f64 c d) b)
(* 2 (+ b (+ c d)))
(*.f64 (+.f64 (+.f64 c d) b) #s(literal 2 binary64))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(+ b (+ c d))
(+.f64 (+.f64 c d) b)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
a
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(fma.f64 (/.f64 c a) a (+.f64 (+.f64 d b) a))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(fma.f64 (/.f64 c a) a (+.f64 (+.f64 d b) a))
(* a (+ 1 (+ (/ b a) (+ (/ c a) (/ d a)))))
(fma.f64 (/.f64 c a) a (+.f64 (+.f64 d b) a))
(* 2 a)
(*.f64 a #s(literal 2 binary64))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
a
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(* -1 (* a (- (* -1 (/ (+ b (+ c d)) a)) 1)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(* 2 (+ a (+ b c)))
(*.f64 (+.f64 (+.f64 c b) a) #s(literal 2 binary64))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(+ a (+ b c))
(+.f64 (+.f64 c b) a)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(+ b c)
(+.f64 c b)
(+ b (+ c d))
(+.f64 (+.f64 c d) b)
(+ b (+ c d))
(+.f64 (+.f64 c d) b)
(+ b (+ c d))
(+.f64 (+.f64 c d) b)
c
(+ c d)
(+.f64 c d)
(+ c d)
(+.f64 c d)
(+ c d)
(+.f64 c d)
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(+.f64 (+.f64 (+.f64 c b) a) d)
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(+.f64 (+.f64 (+.f64 c b) a) d)
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(+.f64 (+.f64 (+.f64 c b) a) d)
d
(* d (+ 1 (+ (/ b d) (/ c d))))
(+.f64 (+.f64 c d) b)
(* d (+ 1 (+ (/ b d) (/ c d))))
(+.f64 (+.f64 c d) b)
(* d (+ 1 (+ (/ b d) (/ c d))))
(+.f64 (+.f64 c d) b)
d
(* d (+ 1 (/ c d)))
(+.f64 c d)
(* d (+ 1 (/ c d)))
(+.f64 c d)
(* d (+ 1 (/ c d)))
(+.f64 c d)
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c b) a) d) #s(literal 2 binary64))
d
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(+.f64 (+.f64 (+.f64 c b) a) d)
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(+.f64 (+.f64 (+.f64 c b) a) d)
d
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(+.f64 (+.f64 c d) b)
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(+.f64 (+.f64 c d) b)
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(+.f64 (+.f64 c d) b)
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)

rewrite174.0ms (4.1%)

Memory
-18.6MiB live, 270.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0924
01324
15824
256924
0824724
Stop Event
iter limit
node limit
iter limit
Counts
4 → 373
Calls
Call 1
Inputs
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
(+.f64 a (+.f64 b (+.f64 c d)))
(+.f64 b (+.f64 c d))
(+.f64 c d)
Outputs
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eval64.0ms (1.5%)

Memory
13.6MiB live, 127.1MiB allocated
Compiler

Compiled 11 088 to 1 483 computations (86.6% saved)

prune54.0ms (1.3%)

Memory
2.7MiB live, 44.5MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New5054509
Fresh000
Picked101
Done000
Total5064510
Accuracy
100.0%
Counts
510 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64))
12.5%
(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64))
12.4%
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64)))
5.4%
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64)))
Compiler

Compiled 25 to 32 computations (-28% saved)

simplify7.0ms (0.2%)

Memory
6.9MiB live, 6.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
021103
030103
150103
2117103
3227103
4253103
0253103
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64)))
(*.f64 b #s(literal 2 binary64))
b
#s(literal 2 binary64)
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64)))
(*.f64 c #s(literal 2 binary64))
c
#s(literal 2 binary64)
(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64))
(+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d)))
a
#s(approx (+ b (+ c d)) (+.f64 c d))
(+.f64 c d)
c
d
#s(literal 2 binary64)
(*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64))
(+.f64 (+.f64 d a) (+.f64 c b))
(+.f64 d a)
d
a
(+.f64 c b)
c
b
#s(literal 2 binary64)
Outputs
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64)))
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) b))
(*.f64 b #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) b)
b
#s(literal 2 binary64)
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64)))
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) c))
(*.f64 c #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) c)
c
#s(literal 2 binary64)
(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64))
(*.f64 (+.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a) #s(literal 2 binary64))
(+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d)))
(+.f64 #s(approx (+ b (+ c d)) (+.f64 d c)) a)
a
#s(approx (+ b (+ c d)) (+.f64 c d))
#s(approx (+ b (+ c d)) (+.f64 d c))
(+.f64 c d)
(+.f64 d c)
c
d
#s(literal 2 binary64)
(*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64))
(*.f64 (+.f64 (+.f64 (+.f64 d b) a) c) #s(literal 2 binary64))
(+.f64 (+.f64 d a) (+.f64 c b))
(+.f64 (+.f64 (+.f64 d b) a) c)
(+.f64 d a)
d
a
(+.f64 c b)
c
b
#s(literal 2 binary64)

localize38.0ms (0.9%)

Memory
-7.4MiB live, 68.8MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 (+.f64 d a) (+.f64 c b))
accuracy0
(+.f64 d a)
accuracy0
(+.f64 c b)
accuracy0
(*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64))
accuracy0
(+.f64 c d)
accuracy0
(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64))
accuracy2.9426323543290396
(+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d)))
accuracy50.20417398569001
#s(approx (+ b (+ c d)) (+.f64 c d))
accuracy0
(*.f64 c #s(literal 2 binary64))
accuracy56.05811245708196
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64)))
accuracy0
(*.f64 b #s(literal 2 binary64))
accuracy60.557846526647666
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64)))
Samples
28.0ms256×0valid
Compiler

Compiled 85 to 17 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-add: 8.0ms (59.3% of total)
ival-mult: 6.0ms (44.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series33.0ms (0.8%)

Memory
-14.1MiB live, 23.7MiB allocated
Counts
12 → 420
Calls
Call 1
Inputs
#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) (patch #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 b #s(literal 2 binary64)) (patch (*.f64 b #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) (patch #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (*.f64 c #s(literal 2 binary64)) (patch (*.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) (patch (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #<representation binary64>) () ())
#s(alt #s(approx (+ b (+ c d)) (+.f64 c d)) (patch #s(approx (+ b (+ c d)) (+.f64 c d)) #<representation binary64>) () ())
#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())
#s(alt (*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) (patch (*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 d a) (+.f64 c b)) (patch (+.f64 (+.f64 d a) (+.f64 c b)) #<representation binary64>) () ())
#s(alt (+.f64 d a) (patch (+.f64 d a) #<representation binary64>) () ())
#s(alt (+.f64 c b) (patch (+.f64 c b) #<representation binary64>) () ())
Outputs
#s(alt (* 2 (+ a (+ b d))) (taylor 0 c) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) (patch #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 c) (* 2 (+ a (+ b d)))) (taylor 0 c) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) (patch #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 c) (* 2 (+ a (+ b d)))) (taylor 0 c) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) (patch #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 c) (* 2 (+ a (+ b d)))) (taylor 0 c) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) (patch #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 (+ a (+ b d))) (taylor 0 c) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) (patch #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 c) (* 2 (+ a (+ b d)))) (taylor 0 c) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) (patch #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 c) (* 2 (+ a (+ b d)))) (taylor 0 c) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) (patch #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 c) (* 2 (+ a (+ b d)))) (taylor 0 c) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) (patch #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 c) (taylor 0 c) (#s(alt (*.f64 c #s(literal 2 binary64)) (patch (*.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 c) (taylor 0 c) (#s(alt (*.f64 c #s(literal 2 binary64)) (patch (*.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 c) (taylor 0 c) (#s(alt (*.f64 c #s(literal 2 binary64)) (patch (*.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 c) (taylor 0 c) (#s(alt (*.f64 c #s(literal 2 binary64)) (patch (*.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (+ a (+ b d))) (taylor 0 c) (#s(alt (*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 c) (* 2 (+ a (+ b d)))) (taylor 0 c) (#s(alt (*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 c) (* 2 (+ a (+ b d)))) (taylor 0 c) (#s(alt (*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 c) (* 2 (+ a (+ b d)))) (taylor 0 c) (#s(alt (*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b d)) (taylor 0 c) (#s(alt (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) (patch (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b (+ c d))) (taylor 0 c) (#s(alt (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) (patch (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b (+ c d))) (taylor 0 c) (#s(alt (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) (patch (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b (+ c d))) (taylor 0 c) (#s(alt (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) (patch (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (+ b d) (taylor 0 c) (#s(alt #s(approx (+ b (+ c d)) (+.f64 c d)) (patch #s(approx (+ b (+ c d)) (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 c) (#s(alt #s(approx (+ b (+ c d)) (+.f64 c d)) (patch #s(approx (+ b (+ c d)) (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 c) (#s(alt #s(approx (+ b (+ c d)) (+.f64 c d)) (patch #s(approx (+ b (+ c d)) (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 c) (#s(alt #s(approx (+ b (+ c d)) (+.f64 c d)) (patch #s(approx (+ b (+ c d)) (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt d (taylor 0 c) (#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())) ())
#s(alt (+ c d) (taylor 0 c) (#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())) ())
#s(alt (+ c d) (taylor 0 c) (#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())) ())
#s(alt (+ c d) (taylor 0 c) (#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())) ())
#s(alt (* 2 (+ a (+ b d))) (taylor 0 c) (#s(alt (*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) (patch (*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 c) (* 2 (+ a (+ b d)))) (taylor 0 c) (#s(alt (*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) (patch (*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 c) (* 2 (+ a (+ b d)))) (taylor 0 c) (#s(alt (*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) (patch (*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 c) (* 2 (+ a (+ b d)))) (taylor 0 c) (#s(alt (*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) (patch (*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b d)) (taylor 0 c) (#s(alt (+.f64 (+.f64 d a) (+.f64 c b)) (patch (+.f64 (+.f64 d a) (+.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b (+ c d))) (taylor 0 c) (#s(alt (+.f64 (+.f64 d a) (+.f64 c b)) (patch (+.f64 (+.f64 d a) (+.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b (+ c d))) (taylor 0 c) (#s(alt (+.f64 (+.f64 d a) (+.f64 c b)) (patch (+.f64 (+.f64 d a) (+.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b (+ c d))) (taylor 0 c) (#s(alt (+.f64 (+.f64 d a) (+.f64 c b)) (patch (+.f64 (+.f64 d a) (+.f64 c b)) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 c) (#s(alt (+.f64 c b) (patch (+.f64 c b) #<representation binary64>) () ())) ())
#s(alt (+ b c) (taylor 0 c) (#s(alt (+.f64 c b) (patch (+.f64 c b) #<representation binary64>) () ())) ())
#s(alt (+ b c) (taylor 0 c) (#s(alt (+.f64 c b) (patch (+.f64 c b) #<representation binary64>) () ())) ())
#s(alt (+ b c) (taylor 0 c) (#s(alt (+.f64 c b) (patch (+.f64 c b) #<representation binary64>) () ())) ())
#s(alt (* 2 c) (taylor inf c) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) (patch #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c)))) (taylor inf c) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) (patch #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c)))) (taylor inf c) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) (patch #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c)))) (taylor inf c) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) (patch #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 c) (taylor inf c) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) (patch #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c)))) (taylor inf c) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) (patch #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c)))) (taylor inf c) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) (patch #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c)))) (taylor inf c) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) (patch #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 c) (taylor inf c) (#s(alt (*.f64 c #s(literal 2 binary64)) (patch (*.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 c) (taylor inf c) (#s(alt (*.f64 c #s(literal 2 binary64)) (patch (*.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 c) (taylor inf c) (#s(alt (*.f64 c #s(literal 2 binary64)) (patch (*.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 c) (taylor inf c) (#s(alt (*.f64 c #s(literal 2 binary64)) (patch (*.f64 c #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 c) (taylor inf c) (#s(alt (*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c)))) (taylor inf c) (#s(alt (*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c)))) (taylor inf c) (#s(alt (*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* c (+ 2 (* 2 (/ (+ a (+ b d)) c)))) (taylor inf c) (#s(alt (*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt c (taylor inf c) (#s(alt (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) (patch (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c))))) (taylor inf c) (#s(alt (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) (patch (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c))))) (taylor inf c) (#s(alt (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) (patch (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c))))) (taylor inf c) (#s(alt (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) (patch (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #<representation binary64>) () ())) ())
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#s(alt (+ a (+ b (+ c d))) (taylor 0 d) (#s(alt (+.f64 (+.f64 d a) (+.f64 c b)) (patch (+.f64 (+.f64 d a) (+.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b (+ c d))) (taylor 0 d) (#s(alt (+.f64 (+.f64 d a) (+.f64 c b)) (patch (+.f64 (+.f64 d a) (+.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (+ a (+ b (+ c d))) (taylor 0 d) (#s(alt (+.f64 (+.f64 d a) (+.f64 c b)) (patch (+.f64 (+.f64 d a) (+.f64 c b)) #<representation binary64>) () ())) ())
#s(alt a (taylor 0 d) (#s(alt (+.f64 d a) (patch (+.f64 d a) #<representation binary64>) () ())) ())
#s(alt (+ a d) (taylor 0 d) (#s(alt (+.f64 d a) (patch (+.f64 d a) #<representation binary64>) () ())) ())
#s(alt (+ a d) (taylor 0 d) (#s(alt (+.f64 d a) (patch (+.f64 d a) #<representation binary64>) () ())) ())
#s(alt (+ a d) (taylor 0 d) (#s(alt (+.f64 d a) (patch (+.f64 d a) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor inf d) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) (patch #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* d (+ 2 (* 2 (/ (+ a (+ b c)) d)))) (taylor inf d) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) (patch #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* d (+ 2 (* 2 (/ (+ a (+ b c)) d)))) (taylor inf d) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) (patch #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* d (+ 2 (* 2 (/ (+ a (+ b c)) d)))) (taylor inf d) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) (patch #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor inf d) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) (patch #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* d (+ 2 (* 2 (/ (+ a (+ b c)) d)))) (taylor inf d) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) (patch #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* d (+ 2 (* 2 (/ (+ a (+ b c)) d)))) (taylor inf d) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) (patch #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* d (+ 2 (* 2 (/ (+ a (+ b c)) d)))) (taylor inf d) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) (patch #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor inf d) (#s(alt (*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* d (+ 2 (* 2 (/ (+ a (+ b c)) d)))) (taylor inf d) (#s(alt (*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* d (+ 2 (* 2 (/ (+ a (+ b c)) d)))) (taylor inf d) (#s(alt (*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* d (+ 2 (* 2 (/ (+ a (+ b c)) d)))) (taylor inf d) (#s(alt (*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt d (taylor inf d) (#s(alt (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) (patch (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))) (taylor inf d) (#s(alt (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) (patch (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))) (taylor inf d) (#s(alt (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) (patch (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))) (taylor inf d) (#s(alt (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) (patch (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt d (taylor inf d) (#s(alt #s(approx (+ b (+ c d)) (+.f64 c d)) (patch #s(approx (+ b (+ c d)) (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (+ (/ b d) (/ c d)))) (taylor inf d) (#s(alt #s(approx (+ b (+ c d)) (+.f64 c d)) (patch #s(approx (+ b (+ c d)) (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (+ (/ b d) (/ c d)))) (taylor inf d) (#s(alt #s(approx (+ b (+ c d)) (+.f64 c d)) (patch #s(approx (+ b (+ c d)) (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (+ (/ b d) (/ c d)))) (taylor inf d) (#s(alt #s(approx (+ b (+ c d)) (+.f64 c d)) (patch #s(approx (+ b (+ c d)) (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt d (taylor inf d) (#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (/ c d))) (taylor inf d) (#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (/ c d))) (taylor inf d) (#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (/ c d))) (taylor inf d) (#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor inf d) (#s(alt (*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) (patch (*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* d (+ 2 (* 2 (/ (+ a (+ b c)) d)))) (taylor inf d) (#s(alt (*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) (patch (*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* d (+ 2 (* 2 (/ (+ a (+ b c)) d)))) (taylor inf d) (#s(alt (*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) (patch (*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* d (+ 2 (* 2 (/ (+ a (+ b c)) d)))) (taylor inf d) (#s(alt (*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) (patch (*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt d (taylor inf d) (#s(alt (+.f64 (+.f64 d a) (+.f64 c b)) (patch (+.f64 (+.f64 d a) (+.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))) (taylor inf d) (#s(alt (+.f64 (+.f64 d a) (+.f64 c b)) (patch (+.f64 (+.f64 d a) (+.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))) (taylor inf d) (#s(alt (+.f64 (+.f64 d a) (+.f64 c b)) (patch (+.f64 (+.f64 d a) (+.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d))))) (taylor inf d) (#s(alt (+.f64 (+.f64 d a) (+.f64 c b)) (patch (+.f64 (+.f64 d a) (+.f64 c b)) #<representation binary64>) () ())) ())
#s(alt d (taylor inf d) (#s(alt (+.f64 d a) (patch (+.f64 d a) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (/ a d))) (taylor inf d) (#s(alt (+.f64 d a) (patch (+.f64 d a) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (/ a d))) (taylor inf d) (#s(alt (+.f64 d a) (patch (+.f64 d a) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (/ a d))) (taylor inf d) (#s(alt (+.f64 d a) (patch (+.f64 d a) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor -inf d) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) (patch #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2))) (taylor -inf d) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) (patch #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2))) (taylor -inf d) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) (patch #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2))) (taylor -inf d) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) (patch #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor -inf d) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) (patch #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2))) (taylor -inf d) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) (patch #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2))) (taylor -inf d) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) (patch #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2))) (taylor -inf d) (#s(alt #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) (patch #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor -inf d) (#s(alt (*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2))) (taylor -inf d) (#s(alt (*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2))) (taylor -inf d) (#s(alt (*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2))) (taylor -inf d) (#s(alt (*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) (patch (*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt d (taylor -inf d) (#s(alt (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) (patch (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1))) (taylor -inf d) (#s(alt (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) (patch (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1))) (taylor -inf d) (#s(alt (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) (patch (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1))) (taylor -inf d) (#s(alt (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) (patch (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #<representation binary64>) () ())) ())
#s(alt d (taylor -inf d) (#s(alt #s(approx (+ b (+ c d)) (+.f64 c d)) (patch #s(approx (+ b (+ c d)) (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (+ b c) d)) 1))) (taylor -inf d) (#s(alt #s(approx (+ b (+ c d)) (+.f64 c d)) (patch #s(approx (+ b (+ c d)) (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (+ b c) d)) 1))) (taylor -inf d) (#s(alt #s(approx (+ b (+ c d)) (+.f64 c d)) (patch #s(approx (+ b (+ c d)) (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (+ b c) d)) 1))) (taylor -inf d) (#s(alt #s(approx (+ b (+ c d)) (+.f64 c d)) (patch #s(approx (+ b (+ c d)) (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt d (taylor -inf d) (#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ c d)) 1))) (taylor -inf d) (#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ c d)) 1))) (taylor -inf d) (#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ c d)) 1))) (taylor -inf d) (#s(alt (+.f64 c d) (patch (+.f64 c d) #<representation binary64>) () ())) ())
#s(alt (* 2 d) (taylor -inf d) (#s(alt (*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) (patch (*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2))) (taylor -inf d) (#s(alt (*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) (patch (*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2))) (taylor -inf d) (#s(alt (*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) (patch (*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2))) (taylor -inf d) (#s(alt (*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) (patch (*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt d (taylor -inf d) (#s(alt (+.f64 (+.f64 d a) (+.f64 c b)) (patch (+.f64 (+.f64 d a) (+.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1))) (taylor -inf d) (#s(alt (+.f64 (+.f64 d a) (+.f64 c b)) (patch (+.f64 (+.f64 d a) (+.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1))) (taylor -inf d) (#s(alt (+.f64 (+.f64 d a) (+.f64 c b)) (patch (+.f64 (+.f64 d a) (+.f64 c b)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1))) (taylor -inf d) (#s(alt (+.f64 (+.f64 d a) (+.f64 c b)) (patch (+.f64 (+.f64 d a) (+.f64 c b)) #<representation binary64>) () ())) ())
#s(alt d (taylor -inf d) (#s(alt (+.f64 d a) (patch (+.f64 d a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ a d)) 1))) (taylor -inf d) (#s(alt (+.f64 d a) (patch (+.f64 d a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ a d)) 1))) (taylor -inf d) (#s(alt (+.f64 d a) (patch (+.f64 d a) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ a d)) 1))) (taylor -inf d) (#s(alt (+.f64 d a) (patch (+.f64 d a) #<representation binary64>) () ())) ())
Calls

12 calls:

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

simplify148.0ms (3.4%)

Memory
17.3MiB live, 168.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01622532
15152532
214412526
345182499
475412499
082712493
Stop Event
iter limit
node limit
Counts
420 → 380
Calls
Call 1
Inputs
(* 2 (+ a (+ b d)))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(* 2 (+ a (+ b d)))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 (+ a (+ b d)))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ a (+ b d))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ b d)
(+ b (+ c d))
(+ b (+ c d))
(+ b (+ c d))
d
(+ c d)
(+ c d)
(+ c d)
(* 2 (+ a (+ b d)))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(+ a (+ b d))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
b
(+ b c)
(+ b c)
(+ b c)
(* 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)
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* 2 c)
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
c
(* c (+ 1 (+ (/ b c) (/ d c))))
(* c (+ 1 (+ (/ b c) (/ d c))))
(* c (+ 1 (+ (/ b c) (/ d c))))
c
(* c (+ 1 (/ d c)))
(* c (+ 1 (/ d c)))
(* c (+ 1 (/ d c)))
(* 2 c)
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
c
(* c (+ 1 (/ b c)))
(* c (+ 1 (/ b c)))
(* c (+ 1 (/ b 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 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 c)
(* 2 c)
(* 2 c)
(* 2 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)))
c
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
c
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
c
(* -1 (* c (- (* -1 (/ d c)) 1)))
(* -1 (* c (- (* -1 (/ d c)) 1)))
(* -1 (* c (- (* -1 (/ d c)) 1)))
(* 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)))
c
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
c
(* -1 (* c (- (* -1 (/ b c)) 1)))
(* -1 (* c (- (* -1 (/ b c)) 1)))
(* -1 (* c (- (* -1 (/ b c)) 1)))
(* 2 (+ a (+ c d)))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 b)
(* 2 (+ a (+ c d)))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(* 2 (+ a (+ c d)))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(+ a (+ c d))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ c d)
(+ b (+ c d))
(+ b (+ c d))
(+ b (+ c d))
(* 2 (+ a (+ c d)))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(+ (* 2 b) (* 2 (+ a (+ c d))))
(+ a (+ c d))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
c
(+ b c)
(+ b c)
(+ b c)
(* 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)
(* 2 b)
(* 2 b)
(* 2 b)
(* 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)
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
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
(* b (+ 1 (+ (/ c b) (/ d b))))
(* b (+ 1 (+ (/ c b) (/ d b))))
(* b (+ 1 (+ (/ c b) (/ d b))))
(* 2 b)
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
(* b (+ 2 (* 2 (/ (+ a (+ c d)) b))))
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
(* b (+ 1 (/ c b)))
(* b (+ 1 (/ c b)))
(* b (+ 1 (/ c 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 b)
(* 2 b)
(* 2 b)
(* 2 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 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)))
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)))
b
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(* 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)))
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)))
b
(* -1 (* b (- (* -1 (/ c b)) 1)))
(* -1 (* b (- (* -1 (/ c b)) 1)))
(* -1 (* b (- (* -1 (/ c b)) 1)))
(* 2 (+ b (+ c d)))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(* 2 (+ b (+ c d)))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(* 2 (+ b (+ c d)))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ b (+ c d))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(* 2 (+ b (+ c d)))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ (* 2 a) (* 2 (+ b (+ c d))))
(+ b (+ c d))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
d
(+ a d)
(+ a d)
(+ a 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)
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(* 2 a)
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
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)))))
(* 2 a)
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
(* a (+ 2 (* 2 (/ (+ b (+ c d)) a))))
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
(* a (+ 1 (/ d a)))
(* a (+ 1 (/ d a)))
(* a (+ 1 (/ 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)
(* -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)
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
(* -1 (* a (- (* -2 (/ (+ b (+ c d)) a)) 2)))
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)))
(* 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)))
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
(* -1 (* a (- (* -1 (/ d a)) 1)))
(* -1 (* a (- (* -1 (/ d a)) 1)))
(* -1 (* a (- (* -1 (/ d a)) 1)))
(* 2 (+ a (+ b c)))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(* 2 (+ a (+ b c)))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(* 2 (+ a (+ b c)))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ a (+ b c))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ b c)
(+ b (+ c d))
(+ b (+ c d))
(+ b (+ c d))
c
(+ c d)
(+ c d)
(+ c d)
(* 2 (+ a (+ b c)))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ (* 2 d) (* 2 (+ a (+ b c))))
(+ a (+ b c))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
(+ a (+ b (+ c d)))
a
(+ a d)
(+ a d)
(+ a d)
(* 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)
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* 2 d)
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* d (+ 2 (* 2 (/ (+ 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
(* d (+ 1 (+ (/ b d) (/ c d))))
(* d (+ 1 (+ (/ b d) (/ c d))))
(* d (+ 1 (+ (/ b d) (/ c d))))
d
(* d (+ 1 (/ c d)))
(* d (+ 1 (/ c d)))
(* d (+ 1 (/ c d)))
(* 2 d)
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(* d (+ 2 (* 2 (/ (+ 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
(* d (+ 1 (/ a d)))
(* d (+ 1 (/ a d)))
(* d (+ 1 (/ a 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)))
(* 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)))
(* 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)))
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)))
d
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
d
(* -1 (* d (- (* -1 (/ c d)) 1)))
(* -1 (* d (- (* -1 (/ c d)) 1)))
(* -1 (* d (- (* -1 (/ c d)) 1)))
(* 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)))
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)))
d
(* -1 (* d (- (* -1 (/ a d)) 1)))
(* -1 (* d (- (* -1 (/ a d)) 1)))
(* -1 (* d (- (* -1 (/ a d)) 1)))
Outputs
(* 2 (+ a (+ b d)))
(*.f64 (+.f64 (+.f64 d b) a) #s(literal 2 binary64))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* 2 (+ a (+ b d)))
(*.f64 (+.f64 (+.f64 d b) a) #s(literal 2 binary64))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* 2 (+ a (+ b d)))
(*.f64 (+.f64 (+.f64 d b) a) #s(literal 2 binary64))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(+ a (+ b d))
(+.f64 (+.f64 d b) a)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 c d) a) b)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 c d) a) b)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 c d) a) b)
(+ b d)
(+.f64 d b)
(+ b (+ c d))
(+.f64 (+.f64 c d) b)
(+ b (+ c d))
(+.f64 (+.f64 c d) b)
(+ b (+ c d))
(+.f64 (+.f64 c d) b)
d
(+ c d)
(+.f64 c d)
(+ c d)
(+.f64 c d)
(+ c d)
(+.f64 c d)
(* 2 (+ a (+ b d)))
(*.f64 (+.f64 (+.f64 d b) a) #s(literal 2 binary64))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(+ (* 2 c) (* 2 (+ a (+ b d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(+ a (+ b d))
(+.f64 (+.f64 d b) a)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 c d) a) b)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 c d) a) b)
(+ a (+ b (+ c d)))
(+.f64 (+.f64 (+.f64 c d) a) b)
b
(+ b c)
(+.f64 c b)
(+ b c)
(+.f64 c b)
(+ b c)
(+.f64 c b)
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(+.f64 (+.f64 (+.f64 c d) a) b)
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(+.f64 (+.f64 (+.f64 c d) a) b)
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(+.f64 (+.f64 (+.f64 c d) a) b)
c
(* c (+ 1 (+ (/ b c) (/ d c))))
(+.f64 (+.f64 c d) b)
(* c (+ 1 (+ (/ b c) (/ d c))))
(+.f64 (+.f64 c d) b)
(* c (+ 1 (+ (/ b c) (/ d c))))
(+.f64 (+.f64 c d) b)
c
(* c (+ 1 (/ d c)))
(+.f64 c d)
(* c (+ 1 (/ d c)))
(+.f64 c d)
(* c (+ 1 (/ d c)))
(+.f64 c d)
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* c (+ 2 (* 2 (/ (+ a (+ b d)) c))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
c
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(+.f64 (+.f64 (+.f64 c d) a) b)
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(+.f64 (+.f64 (+.f64 c d) a) b)
(* c (+ 1 (+ (/ a c) (+ (/ b c) (/ d c)))))
(+.f64 (+.f64 (+.f64 c d) a) b)
c
(* c (+ 1 (/ b c)))
(+.f64 c b)
(* c (+ 1 (/ b c)))
(+.f64 c b)
(* c (+ 1 (/ b c)))
(+.f64 c b)
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
c
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(+.f64 (+.f64 (+.f64 c d) a) b)
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(+.f64 (+.f64 (+.f64 c d) a) b)
(* -1 (* c (- (* -1 (/ (+ a (+ b d)) c)) 1)))
(+.f64 (+.f64 (+.f64 c d) a) b)
c
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(fma.f64 (/.f64 (+.f64 d b) c) c c)
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(fma.f64 (/.f64 (+.f64 d b) c) c c)
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(fma.f64 (/.f64 (+.f64 d b) c) c c)
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)
(* 2 c)
(*.f64 c #s(literal 2 binary64))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* -1 (* c (- (* -2 (/ (+ a (+ b d)) c)) 2)))
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(+.f64 d a)
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(+.f64 d a)
(+ a d)
(+.f64 d a)
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(+.f64 (+.f64 (+.f64 c d) a) b)
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(+.f64 (+.f64 (+.f64 c d) a) b)
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(+.f64 (+.f64 (+.f64 c d) a) b)
d
(* d (+ 1 (+ (/ b d) (/ c d))))
(+.f64 (+.f64 c d) b)
(* d (+ 1 (+ (/ b d) (/ c d))))
(+.f64 (+.f64 c d) b)
(* d (+ 1 (+ (/ b d) (/ c d))))
(+.f64 (+.f64 c d) b)
d
(* d (+ 1 (/ c d)))
(+.f64 c d)
(* d (+ 1 (/ c d)))
(+.f64 c d)
(* d (+ 1 (/ c d)))
(+.f64 c d)
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* d (+ 2 (* 2 (/ (+ a (+ b c)) d))))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
d
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(+.f64 (+.f64 (+.f64 c d) a) b)
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(+.f64 (+.f64 (+.f64 c d) a) b)
(* d (+ 1 (+ (/ a d) (+ (/ b d) (/ c d)))))
(+.f64 (+.f64 (+.f64 c d) a) b)
d
(* d (+ 1 (/ a d)))
(+.f64 d a)
(* d (+ 1 (/ a d)))
(+.f64 d a)
(* d (+ 1 (/ a d)))
(+.f64 d a)
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
d
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(+.f64 (+.f64 (+.f64 c d) a) b)
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(+.f64 (+.f64 (+.f64 c d) a) b)
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(+.f64 (+.f64 (+.f64 c d) a) b)
d
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(+.f64 (+.f64 c d) b)
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(+.f64 (+.f64 c d) b)
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(+.f64 (+.f64 c d) b)
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)
(* 2 d)
(*.f64 d #s(literal 2 binary64))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
(* -1 (* d (- (* -2 (/ (+ a (+ b c)) d)) 2)))
(*.f64 (+.f64 (+.f64 (+.f64 c d) a) b) #s(literal 2 binary64))
d
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(+.f64 (+.f64 (+.f64 c d) a) b)
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(+.f64 (+.f64 (+.f64 c d) a) b)
(* -1 (* d (- (* -1 (/ (+ a (+ b c)) d)) 1)))
(+.f64 (+.f64 (+.f64 c d) a) b)
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)

rewrite177.0ms (4.1%)

Memory
-9.9MiB live, 261.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02190
03090
112590
2121590
0824890
Stop Event
iter limit
node limit
iter limit
Counts
12 → 441
Calls
Call 1
Inputs
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64)))
(*.f64 b #s(literal 2 binary64))
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64)))
(*.f64 c #s(literal 2 binary64))
(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64))
(+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d)))
#s(approx (+ b (+ c d)) (+.f64 c d))
(+.f64 c d)
(*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64))
(+.f64 (+.f64 d a) (+.f64 c b))
(+.f64 d a)
(+.f64 c b)
Outputs
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eval153.0ms (3.6%)

Memory
19.5MiB live, 262.0MiB allocated
Compiler

Compiled 18 270 to 1 941 computations (89.4% saved)

prune32.0ms (0.7%)

Memory
-4.1MiB live, 72.7MiB allocated
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New8210821
Fresh000
Picked044
Done000
Total8214825
Accuracy
100.0%
Counts
825 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64))
12.5%
(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64))
12.4%
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64)))
5.4%
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64)))
Compiler

Compiled 59 to 52 computations (11.9% saved)

regimes23.0ms (0.5%)

Memory
5.0MiB live, 43.0MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64)))
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64)))
(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64))
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
(*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64))
Outputs
(*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64))
Calls

8 calls:

4.0ms
d
3.0ms
(+.f64 c d)
3.0ms
c
3.0ms
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
3.0ms
(+.f64 b (+.f64 c d))
Results
AccuracySegmentsBranch
100.0%1a
100.0%1b
100.0%1c
100.0%1d
100.0%1(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
100.0%1(+.f64 a (+.f64 b (+.f64 c d)))
100.0%1(+.f64 b (+.f64 c d))
100.0%1(+.f64 c d)
Compiler

Compiled 28 to 43 computations (-53.6% saved)

regimes52.0ms (1.2%)

Memory
-9.1MiB live, 34.6MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64)))
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64)))
(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64))
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
Outputs
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
Calls

8 calls:

35.0ms
d
2.0ms
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
2.0ms
c
2.0ms
b
2.0ms
(+.f64 b (+.f64 c d))
Results
AccuracySegmentsBranch
94.0%1a
94.0%1b
94.0%1c
94.0%1d
94.0%1(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
94.0%1(+.f64 a (+.f64 b (+.f64 c d)))
94.0%1(+.f64 b (+.f64 c d))
94.0%1(+.f64 c d)
Compiler

Compiled 28 to 43 computations (-53.6% saved)

regimes17.0ms (0.4%)

Memory
26.9MiB live, 26.9MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64)))
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64)))
(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64))
Outputs
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64)))
(*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64))
Calls

8 calls:

2.0ms
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
2.0ms
(+.f64 a (+.f64 b (+.f64 c d)))
2.0ms
(+.f64 b (+.f64 c d))
2.0ms
c
2.0ms
(+.f64 c d)
Results
AccuracySegmentsBranch
12.5%1c
12.5%1d
12.5%1(+.f64 c d)
12.5%1a
12.5%1b
16.3%2(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
16.3%2(+.f64 a (+.f64 b (+.f64 c d)))
14.1%2(+.f64 b (+.f64 c d))
Compiler

Compiled 28 to 43 computations (-53.6% saved)

regimes10.0ms (0.2%)

Memory
-29.8MiB live, 8.6MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64)))
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64)))
Outputs
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64)))
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64)))
Calls

2 calls:

8.0ms
(+.f64 a (+.f64 b (+.f64 c d)))
2.0ms
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
Results
AccuracySegmentsBranch
16.2%2(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
16.2%2(+.f64 a (+.f64 b (+.f64 c d)))
Compiler

Compiled 16 to 16 computations (0% saved)

regimes11.0ms (0.3%)

Memory
28.2MiB live, 28.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

8 calls:

1.0ms
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
1.0ms
(+.f64 b (+.f64 c d))
1.0ms
(+.f64 a (+.f64 b (+.f64 c d)))
1.0ms
(+.f64 c d)
1.0ms
c
Results
AccuracySegmentsBranch
5.4%1(+.f64 c d)
5.4%1d
5.4%1a
5.4%1c
5.4%1b
5.4%1(+.f64 b (+.f64 c d))
5.4%1(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
5.4%1(+.f64 a (+.f64 b (+.f64 c d)))
Compiler

Compiled 28 to 43 computations (-53.6% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0014544936262232966
0.0032247586284128715
Compiler

Compiled 12 to 16 computations (-33.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.0014544936262232966
0.0032247586284128715
Compiler

Compiled 12 to 16 computations (-33.3% saved)

simplify27.0ms (0.6%)

Memory
-16.3MiB live, 56.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028103
140103
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64))
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -1152921504606847/1152921504606846976 binary64)) #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) (*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -1152921504606847/1152921504606846976 binary64)) #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))))
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64)))
Outputs
(*.f64 (+.f64 (+.f64 d a) (+.f64 c b)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 (+.f64 b c) (+.f64 a d)))
(*.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal 2 binary64))
(*.f64 (+.f64 (+.f64 (+.f64 c d) b) a) #s(literal 2 binary64))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -1152921504606847/1152921504606846976 binary64)) #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) (*.f64 (+.f64 a #s(approx (+ b (+ c d)) (+.f64 c d))) #s(literal 2 binary64)))
(if (<=.f64 (+.f64 (+.f64 (+.f64 c d) b) a) #s(literal -1152921504606847/1152921504606846976 binary64)) #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) b)) (*.f64 (+.f64 #s(approx (+ b (+ c d)) (+.f64 c d)) a) #s(literal 2 binary64)))
(if (<=.f64 (+.f64 a (+.f64 b (+.f64 c d))) #s(literal -1152921504606847/1152921504606846976 binary64)) #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64))) #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 c #s(literal 2 binary64))))
(if (<=.f64 (+.f64 (+.f64 (+.f64 c d) b) a) #s(literal -1152921504606847/1152921504606846976 binary64)) #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) b)) #s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) c)))
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 b #s(literal 2 binary64)))
#s(approx (* (+ a (+ b (+ c d))) 2) (*.f64 #s(literal 2 binary64) b))

soundness381.0ms (8.9%)

Memory
6.3MiB live, 206.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0924
01324
15824
256924
0824724
0137890
1436890
21261890
34089878
08115875
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 99 to 69 computations (30.3% saved)

preprocess93.0ms (2.2%)

Memory
4.9MiB live, 117.9MiB allocated
Remove

(sort a b c d)

Compiler

Compiled 236 to 158 computations (33.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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