Expression, p14

Time bar (total: 4.6s)

start0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated

analyze284.0ms (6.2%)

Memory
10.2MiB live, 444.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
0%0%0%100%0%0%0%2
0%0%0%100%0%0%0%3
0%0%0%100%0%0%0%4
25%0%0%100%0%0%0%5
25%0%0%100%0%0%0%6
25%0%0%100%0%0%0%7
37.5%0%0%100%0%0%0%8
56.3%0%0%100%0%0%0%9
56.3%0%0%100%0%0%0%10
56.3%0%0%100%0%0%0%11
65.6%0%0%100%0%0%0%12
Compiler

Compiled 39 to 28 computations (28.2% saved)

sample2.4s (53.3%)

Memory
14.8MiB live, 1 823.8MiB allocated
Samples
1.6s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-<=: 431.0ms (40.8% of total)
ival-add: 265.0ms (25.1% of total)
const: 201.0ms (19% of total)
ival-mult: 99.0ms (9.4% of total)
ival-and: 42.0ms (4% of total)
exact: 15.0ms (1.4% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain251.0ms (5.5%)

Memory
-20.5MiB live, 100.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 a (+.f64 (+.f64 b c) d))
00-0-(+.f64 b c)
00-0-c
00-0-a
00-0-d
00-0-(+.f64 (+.f64 b c) d)
00-0-b
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
170.0ms510×0valid
0.0ms2valid
Compiler

Compiled 68 to 32 computations (52.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 155.0ms
ival-add: 151.0ms (97.2% of total)
ival-mult: 3.0ms (1.9% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess118.0ms (2.6%)

Memory
6.4MiB live, 44.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040112
1169102
257799
3172699
4369699
5464899
6506599
7508799
8508799
9510699
10510699
11510699
077
0107
1217
2427
3767
4767
0767
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 a (+.f64 (+.f64 b c) d))
Outputs
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 (+.f64 d (+.f64 c b)) a)
Symmetry

(negabs a)

(sort b c d)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.f64 a (+.f64 (+.f64 b c) d))
Compiler

Compiled 7 to 7 computations (0% saved)

simplify3.0ms (0.1%)

Memory
6.6MiB live, 6.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0719
01019
12119
24219
37619
47619
07619
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 a (+.f64 (+.f64 b c) d))
a
(+.f64 (+.f64 b c) d)
(+.f64 b c)
b
c
d
Outputs
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 (+.f64 d (+.f64 c b)) a)
a
(+.f64 (+.f64 b c) d)
(+.f64 d (+.f64 c b))
(+.f64 b c)
(+.f64 c b)
b
c
d

localize27.0ms (0.6%)

Memory
12.7MiB live, 51.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 b c)
accuracy0.00390625
(+.f64 (+.f64 b c) d)
accuracy0.03515625
(*.f64 a (+.f64 (+.f64 b c) d))
Samples
22.0ms255×0valid
0.0ms2valid
Compiler

Compiled 40 to 16 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-add: 2.0ms (44.9% of total)
ival-mult: 2.0ms (44.9% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.3%)

Memory
-9.7MiB live, 34.2MiB allocated
Counts
3 → 108
Calls
Call 1
Inputs
#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())
#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())
#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())
Outputs
#s(alt (* a (+ b d)) (taylor 0 c) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* a (+ b d))) (taylor 0 c) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* a (+ b d))) (taylor 0 c) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* a (+ b d))) (taylor 0 c) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (+ b d) (taylor 0 c) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 c) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 c) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 c) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 c) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (+ b c) (taylor 0 c) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (+ b c) (taylor 0 c) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (+ b c) (taylor 0 c) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (* a (+ b d)) c))) (taylor inf c) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (* a (+ b d)) c))) (taylor inf c) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (* a (+ b d)) c))) (taylor inf c) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt c (taylor inf c) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (+ (/ b c) (/ d c)))) (taylor inf c) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (+ (/ b c) (/ d c)))) (taylor inf c) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (+ (/ b c) (/ d c)))) (taylor inf c) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt c (taylor inf c) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (/ b c))) (taylor inf c) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (/ b c))) (taylor inf c) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (/ b c))) (taylor inf c) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf c) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c))))) (taylor -inf c) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c))))) (taylor -inf c) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c))))) (taylor -inf c) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt c (taylor -inf c) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ (+ b d) c)) 1))) (taylor -inf c) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ (+ b d) c)) 1))) (taylor -inf c) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ (+ b d) c)) 1))) (taylor -inf c) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt c (taylor -inf c) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ b c)) 1))) (taylor -inf c) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ b c)) 1))) (taylor -inf c) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ b c)) 1))) (taylor -inf c) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* a (+ c d)) (taylor 0 b) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a b) (* a (+ c d))) (taylor 0 b) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a b) (* a (+ c d))) (taylor 0 b) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a b) (* a (+ c d))) (taylor 0 b) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (+ c d) (taylor 0 b) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 b) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 b) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 b) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt c (taylor 0 b) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (+ b c) (taylor 0 b) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (+ b c) (taylor 0 b) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (+ b c) (taylor 0 b) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor inf b) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* b (+ a (/ (* a (+ c d)) b))) (taylor inf b) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* b (+ a (/ (* a (+ c d)) b))) (taylor inf b) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* b (+ a (/ (* a (+ c d)) b))) (taylor inf b) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt b (taylor inf b) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (+ (/ c b) (/ d b)))) (taylor inf b) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (+ (/ c b) (/ d b)))) (taylor inf b) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (+ (/ c b) (/ d b)))) (taylor inf b) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt b (taylor inf b) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (/ c b))) (taylor inf b) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (/ c b))) (taylor inf b) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (/ c b))) (taylor inf b) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* a b) (taylor -inf b) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b))))) (taylor -inf b) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b))))) (taylor -inf b) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b))))) (taylor -inf b) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt b (taylor -inf b) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ (+ c d) b)) 1))) (taylor -inf b) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ (+ c d) b)) 1))) (taylor -inf b) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ (+ c d) b)) 1))) (taylor -inf b) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt b (taylor -inf b) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ c b)) 1))) (taylor -inf b) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ c b)) 1))) (taylor -inf b) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ c b)) 1))) (taylor -inf b) (#s(alt (+.f64 b c) (patch (+.f64 b c) #<representation binary64>) () ())) ())
#s(alt (* a (+ b (+ c d))) (taylor 0 a) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b (+ c d))) (taylor 0 a) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b (+ c d))) (taylor 0 a) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b (+ c d))) (taylor 0 a) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b (+ c d))) (taylor inf a) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b (+ c d))) (taylor inf a) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b (+ c d))) (taylor inf a) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b (+ c d))) (taylor inf a) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b (+ c d))) (taylor -inf a) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b (+ c d))) (taylor -inf a) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b (+ c d))) (taylor -inf a) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b (+ c d))) (taylor -inf a) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* a (+ b c)) (taylor 0 d) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a d) (* a (+ b c))) (taylor 0 d) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a d) (* a (+ b c))) (taylor 0 d) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (+ (* a d) (* a (+ b c))) (taylor 0 d) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (+ b c) (taylor 0 d) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 d) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 d) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (+ b (+ c d)) (taylor 0 d) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor inf d) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* d (+ a (/ (* a (+ b c)) d))) (taylor inf d) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* d (+ a (/ (* a (+ b c)) d))) (taylor inf d) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* d (+ a (/ (* a (+ b c)) d))) (taylor inf d) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt d (taylor inf d) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (+ (/ b d) (/ c d)))) (taylor inf d) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (+ (/ b d) (/ c d)))) (taylor inf d) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (+ (/ b d) (/ c d)))) (taylor inf d) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d))))) (taylor -inf d) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d))))) (taylor -inf d) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d))))) (taylor -inf d) (#s(alt (*.f64 a (+.f64 (+.f64 b c) d)) (patch (*.f64 a (+.f64 (+.f64 b c) d)) #<representation binary64>) () ())) ())
#s(alt d (taylor -inf d) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (+ b c) d)) 1))) (taylor -inf d) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (+ b c) d)) 1))) (taylor -inf d) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ (+ b c) d)) 1))) (taylor -inf d) (#s(alt (+.f64 (+.f64 b c) d) (patch (+.f64 (+.f64 b c) d) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
6.0ms
b
@inf
((* a (+ (+ b c) d)) (+ (+ b c) d) (+ b c))
2.0ms
c
@-inf
((* a (+ (+ b c) d)) (+ (+ b c) d) (+ b c))
1.0ms
d
@-inf
((* a (+ (+ b c) d)) (+ (+ b c) d) (+ b c))
1.0ms
c
@inf
((* a (+ (+ b c) d)) (+ (+ b c) d) (+ b c))
0.0ms
b
@-inf
((* a (+ (+ b c) d)) (+ (+ b c) d) (+ b c))

simplify113.0ms (2.5%)

Memory
-21.6MiB live, 142.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084516
1276516
2788516
32371516
45512516
57844516
08206516
Stop Event
iter limit
node limit
Counts
108 → 96
Calls
Call 1
Inputs
(* a (+ b d))
(+ (* a c) (* a (+ b d)))
(+ (* a c) (* a (+ b d)))
(+ (* a c) (* a (+ b d)))
(+ b d)
(+ b (+ c d))
(+ b (+ c d))
(+ b (+ c d))
b
(+ b c)
(+ b c)
(+ b c)
(* a c)
(* c (+ a (/ (* a (+ b d)) c)))
(* c (+ a (/ (* a (+ b d)) c)))
(* c (+ a (/ (* a (+ b d)) c)))
c
(* c (+ 1 (+ (/ b c) (/ d c))))
(* c (+ 1 (+ (/ b c) (/ d c))))
(* c (+ 1 (+ (/ b c) (/ d c))))
c
(* c (+ 1 (/ b c)))
(* c (+ 1 (/ b c)))
(* c (+ 1 (/ b c)))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
c
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
c
(* -1 (* c (- (* -1 (/ b c)) 1)))
(* -1 (* c (- (* -1 (/ b c)) 1)))
(* -1 (* c (- (* -1 (/ b c)) 1)))
(* a (+ c d))
(+ (* a b) (* a (+ c d)))
(+ (* a b) (* a (+ c d)))
(+ (* a b) (* a (+ c d)))
(+ c d)
(+ b (+ c d))
(+ b (+ c d))
(+ b (+ c d))
c
(+ b c)
(+ b c)
(+ b c)
(* a b)
(* b (+ a (/ (* a (+ c d)) b)))
(* b (+ a (/ (* a (+ c d)) b)))
(* b (+ a (/ (* a (+ c d)) b)))
b
(* b (+ 1 (+ (/ c b) (/ d b))))
(* b (+ 1 (+ (/ c b) (/ d b))))
(* b (+ 1 (+ (/ c b) (/ d b))))
b
(* b (+ 1 (/ c b)))
(* b (+ 1 (/ c b)))
(* b (+ 1 (/ c b)))
(* a b)
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
b
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
b
(* -1 (* b (- (* -1 (/ c b)) 1)))
(* -1 (* b (- (* -1 (/ c b)) 1)))
(* -1 (* b (- (* -1 (/ c b)) 1)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b c))
(+ (* a d) (* a (+ b c)))
(+ (* a d) (* a (+ b c)))
(+ (* a d) (* a (+ b c)))
(+ b c)
(+ b (+ c d))
(+ b (+ c d))
(+ b (+ c d))
(* a d)
(* d (+ a (/ (* a (+ b c)) d)))
(* d (+ a (/ (* a (+ b c)) d)))
(* d (+ a (/ (* a (+ b c)) d)))
d
(* d (+ 1 (+ (/ b d) (/ c d))))
(* d (+ 1 (+ (/ b d) (/ c d))))
(* d (+ 1 (+ (/ b d) (/ c d))))
(* a d)
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
d
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
Outputs
(* a (+ b d))
(*.f64 (+.f64 d b) a)
(+ (* a c) (* a (+ b d)))
(*.f64 (+.f64 (+.f64 c b) d) a)
(+ (* a c) (* a (+ b d)))
(*.f64 (+.f64 (+.f64 c b) d) a)
(+ (* a c) (* a (+ b d)))
(*.f64 (+.f64 (+.f64 c b) d) a)
(+ b d)
(+.f64 d b)
(+ b (+ c d))
(+.f64 (+.f64 c b) d)
(+ b (+ c d))
(+.f64 (+.f64 c b) d)
(+ b (+ c d))
(+.f64 (+.f64 c b) d)
b
(+ b c)
(+.f64 c b)
(+ b c)
(+.f64 c b)
(+ b c)
(+.f64 c b)
(* a c)
(*.f64 c a)
(* c (+ a (/ (* a (+ b d)) c)))
(*.f64 (+.f64 (+.f64 c b) d) a)
(* c (+ a (/ (* a (+ b d)) c)))
(*.f64 (+.f64 (+.f64 c b) d) a)
(* c (+ a (/ (* a (+ b d)) c)))
(*.f64 (+.f64 (+.f64 c b) d) a)
c
(* c (+ 1 (+ (/ b c) (/ d c))))
(+.f64 (+.f64 c b) d)
(* c (+ 1 (+ (/ b c) (/ d c))))
(+.f64 (+.f64 c b) d)
(* c (+ 1 (+ (/ b c) (/ d c))))
(+.f64 (+.f64 c b) d)
c
(* c (+ 1 (/ b c)))
(+.f64 c b)
(* c (+ 1 (/ b c)))
(+.f64 c b)
(* c (+ 1 (/ b c)))
(+.f64 c b)
(* a c)
(*.f64 c a)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(*.f64 (+.f64 (+.f64 c b) d) a)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(*.f64 (+.f64 (+.f64 c b) d) a)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(*.f64 (+.f64 (+.f64 c b) d) a)
c
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(+.f64 (+.f64 c b) d)
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(+.f64 (+.f64 c b) d)
(* -1 (* c (- (* -1 (/ (+ b d) c)) 1)))
(+.f64 (+.f64 c b) d)
c
(* -1 (* c (- (* -1 (/ b c)) 1)))
(+.f64 c b)
(* -1 (* c (- (* -1 (/ b c)) 1)))
(+.f64 c b)
(* -1 (* c (- (* -1 (/ b c)) 1)))
(+.f64 c b)
(* a (+ c d))
(*.f64 (+.f64 c d) a)
(+ (* a b) (* a (+ c d)))
(*.f64 (+.f64 (+.f64 c b) d) a)
(+ (* a b) (* a (+ c d)))
(*.f64 (+.f64 (+.f64 c b) d) a)
(+ (* a b) (* a (+ c d)))
(*.f64 (+.f64 (+.f64 c b) d) a)
(+ c d)
(+.f64 c d)
(+ b (+ c d))
(+.f64 (+.f64 c b) d)
(+ b (+ c d))
(+.f64 (+.f64 c b) d)
(+ b (+ c d))
(+.f64 (+.f64 c b) d)
c
(+ b c)
(+.f64 c b)
(+ b c)
(+.f64 c b)
(+ b c)
(+.f64 c b)
(* a b)
(*.f64 b a)
(* b (+ a (/ (* a (+ c d)) b)))
(*.f64 (+.f64 (+.f64 c b) d) a)
(* b (+ a (/ (* a (+ c d)) b)))
(*.f64 (+.f64 (+.f64 c b) d) a)
(* b (+ a (/ (* a (+ c d)) b)))
(*.f64 (+.f64 (+.f64 c b) d) a)
b
(* b (+ 1 (+ (/ c b) (/ d b))))
(+.f64 (+.f64 c b) d)
(* b (+ 1 (+ (/ c b) (/ d b))))
(+.f64 (+.f64 c b) d)
(* b (+ 1 (+ (/ c b) (/ d b))))
(+.f64 (+.f64 c b) d)
b
(* b (+ 1 (/ c b)))
(+.f64 c b)
(* b (+ 1 (/ c b)))
(+.f64 c b)
(* b (+ 1 (/ c b)))
(+.f64 c b)
(* a b)
(*.f64 b a)
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(*.f64 (+.f64 (+.f64 c b) d) a)
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(*.f64 (+.f64 (+.f64 c b) d) a)
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(*.f64 (+.f64 (+.f64 c b) d) a)
b
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(+.f64 (+.f64 c b) d)
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(+.f64 (+.f64 c b) d)
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(+.f64 (+.f64 c b) d)
b
(* -1 (* b (- (* -1 (/ c b)) 1)))
(+.f64 c b)
(* -1 (* b (- (* -1 (/ c b)) 1)))
(+.f64 c b)
(* -1 (* b (- (* -1 (/ c b)) 1)))
(+.f64 c b)
(* a (+ b (+ c d)))
(*.f64 (+.f64 (+.f64 c b) d) a)
(* a (+ b (+ c d)))
(*.f64 (+.f64 (+.f64 c b) d) a)
(* a (+ b (+ c d)))
(*.f64 (+.f64 (+.f64 c b) d) a)
(* a (+ b (+ c d)))
(*.f64 (+.f64 (+.f64 c b) d) a)
(* a (+ b (+ c d)))
(*.f64 (+.f64 (+.f64 c b) d) a)
(* a (+ b (+ c d)))
(*.f64 (+.f64 (+.f64 c b) d) a)
(* a (+ b (+ c d)))
(*.f64 (+.f64 (+.f64 c b) d) a)
(* a (+ b (+ c d)))
(*.f64 (+.f64 (+.f64 c b) d) a)
(* a (+ b (+ c d)))
(*.f64 (+.f64 (+.f64 c b) d) a)
(* a (+ b (+ c d)))
(*.f64 (+.f64 (+.f64 c b) d) a)
(* a (+ b (+ c d)))
(*.f64 (+.f64 (+.f64 c b) d) a)
(* a (+ b (+ c d)))
(*.f64 (+.f64 (+.f64 c b) d) a)
(* a (+ b c))
(*.f64 (+.f64 c b) a)
(+ (* a d) (* a (+ b c)))
(*.f64 (+.f64 (+.f64 c b) d) a)
(+ (* a d) (* a (+ b c)))
(*.f64 (+.f64 (+.f64 c b) d) a)
(+ (* a d) (* a (+ b c)))
(*.f64 (+.f64 (+.f64 c b) d) a)
(+ b c)
(+.f64 c b)
(+ b (+ c d))
(+.f64 (+.f64 c b) d)
(+ b (+ c d))
(+.f64 (+.f64 c b) d)
(+ b (+ c d))
(+.f64 (+.f64 c b) d)
(* a d)
(*.f64 d a)
(* d (+ a (/ (* a (+ b c)) d)))
(*.f64 (+.f64 (+.f64 c b) d) a)
(* d (+ a (/ (* a (+ b c)) d)))
(*.f64 (+.f64 (+.f64 c b) d) a)
(* d (+ a (/ (* a (+ b c)) d)))
(*.f64 (+.f64 (+.f64 c b) d) a)
d
(* d (+ 1 (+ (/ b d) (/ c d))))
(+.f64 (+.f64 c b) d)
(* d (+ 1 (+ (/ b d) (/ c d))))
(+.f64 (+.f64 c b) d)
(* d (+ 1 (+ (/ b d) (/ c d))))
(+.f64 (+.f64 c b) d)
(* a d)
(*.f64 d a)
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(*.f64 (+.f64 (+.f64 c b) d) a)
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(*.f64 (+.f64 (+.f64 c b) d) a)
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(*.f64 (+.f64 (+.f64 c b) d) a)
d
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(+.f64 (+.f64 c b) d)
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(+.f64 (+.f64 c b) d)
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(+.f64 (+.f64 c b) d)

rewrite165.0ms (3.6%)

Memory
34.0MiB live, 304.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
01015
14615
238815
3569815
0879815
Stop Event
iter limit
node limit
iter limit
Counts
3 → 286
Calls
Call 1
Inputs
(*.f64 a (+.f64 (+.f64 b c) d))
(+.f64 (+.f64 b c) d)
(+.f64 b c)
Outputs
#<batchref>
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eval45.0ms (1%)

Memory
-10.4MiB live, 110.7MiB allocated
Compiler

Compiled 7 349 to 998 computations (86.4% saved)

prune8.0ms (0.2%)

Memory
-16.2MiB live, 22.2MiB allocated
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New3784382
Fresh000
Picked011
Done000
Total3785383
Accuracy
100.0%
Counts
383 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (+.f64 d b) a (*.f64 c a))
99.9%
(fma.f64 (+.f64 c b) a (*.f64 d a))
99.9%
(*.f64 a (+.f64 (+.f64 b c) d))
99.6%
(*.f64 a #s(approx (+ (+ b c) d) (+.f64 c d)))
93.7%
#s(approx (* a (+ (+ b c) d)) (*.f64 d a))
Compiler

Compiled 33 to 34 computations (-3% saved)

simplify4.0ms (0.1%)

Memory
6.1MiB live, 6.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 c a)
cost-diff0
(+.f64 d b)
cost-diff192
(fma.f64 (+.f64 d b) a (*.f64 c a))
cost-diff0
(*.f64 d a)
cost-diff0
(+.f64 c b)
cost-diff192
(fma.f64 (+.f64 c b) a (*.f64 d a))
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 d a)
cost-diff0
#s(approx (* a (+ (+ b c) d)) (*.f64 d a))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01778
02776
14876
26576
37176
07176
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (* a (+ (+ b c) d)) (*.f64 d a))
(*.f64 d a)
d
a
(*.f64 a #s(approx (+ (+ b c) d) (+.f64 c d)))
a
#s(approx (+ (+ b c) d) (+.f64 c d))
(+.f64 c d)
c
d
(fma.f64 (+.f64 c b) a (*.f64 d a))
(+.f64 c b)
c
b
a
(*.f64 d a)
d
(fma.f64 (+.f64 d b) a (*.f64 c a))
(+.f64 d b)
d
b
a
(*.f64 c a)
c
Outputs
#s(approx (* a (+ (+ b c) d)) (*.f64 d a))
#s(approx (* a (+ (+ b c) d)) (*.f64 a d))
(*.f64 d a)
(*.f64 a d)
d
a
(*.f64 a #s(approx (+ (+ b c) d) (+.f64 c d)))
(*.f64 #s(approx (+ (+ b c) d) (+.f64 c d)) a)
a
#s(approx (+ (+ b c) d) (+.f64 c d))
(+.f64 c d)
c
d
(fma.f64 (+.f64 c b) a (*.f64 d a))
(*.f64 (+.f64 (+.f64 c b) d) a)
(+.f64 c b)
c
b
a
(*.f64 d a)
(*.f64 a d)
d
(fma.f64 (+.f64 d b) a (*.f64 c a))
(*.f64 (+.f64 (+.f64 c b) d) a)
(+.f64 d b)
(+.f64 b d)
d
b
a
(*.f64 c a)
c

localize41.0ms (0.9%)

Memory
13.5MiB live, 55.7MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 d b)
accuracy0
(*.f64 c a)
accuracy0.00390625
(fma.f64 (+.f64 d b) a (*.f64 c a))
accuracy0
(+.f64 c b)
accuracy0
(*.f64 d a)
accuracy0.0546875
(fma.f64 (+.f64 c b) a (*.f64 d a))
accuracy0
(+.f64 c d)
accuracy0.03515625
(*.f64 a #s(approx (+ (+ b c) d) (+.f64 c d)))
accuracy0.218851448763921
#s(approx (+ (+ b c) d) (+.f64 c d))
accuracy0
(*.f64 d a)
accuracy4.008387302676687
#s(approx (* a (+ (+ b c) d)) (*.f64 d a))
Samples
31.0ms255×0valid
0.0ms2valid
Compiler

Compiled 131 to 32 computations (75.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 11.0ms (58.1% of total)
ival-add: 8.0ms (42.2% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series27.0ms (0.6%)

Memory
-6.8MiB live, 28.9MiB allocated
Counts
10 → 348
Calls
Call 1
Inputs
#s(alt #s(approx (* a (+ (+ b c) d)) (*.f64 d a)) (patch #s(approx (* a (+ (+ b c) d)) (*.f64 d a)) #<representation binary64>) () ())
#s(alt (*.f64 d a) (patch (*.f64 d a) #<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 (fma.f64 (+.f64 c b) a (*.f64 d a)) (patch (fma.f64 (+.f64 c b) a (*.f64 d a)) #<representation binary64>) () ())
#s(alt (+.f64 c b) (patch (+.f64 c b) #<representation binary64>) () ())
#s(alt (fma.f64 (+.f64 d b) a (*.f64 c a)) (patch (fma.f64 (+.f64 d b) a (*.f64 c a)) #<representation binary64>) () ())
#s(alt (+.f64 d b) (patch (+.f64 d b) #<representation binary64>) () ())
#s(alt (*.f64 c a) (patch (*.f64 c a) #<representation binary64>) () ())
Outputs
#s(alt (* a (+ b d)) (taylor 0 c) (#s(alt #s(approx (* a (+ (+ b c) d)) (*.f64 d a)) (patch #s(approx (* a (+ (+ b c) d)) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* a (+ b d))) (taylor 0 c) (#s(alt #s(approx (* a (+ (+ b c) d)) (*.f64 d a)) (patch #s(approx (* a (+ (+ b c) d)) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* a (+ b d))) (taylor 0 c) (#s(alt #s(approx (* a (+ (+ b c) d)) (*.f64 d a)) (patch #s(approx (* a (+ (+ b c) d)) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* a (+ b d))) (taylor 0 c) (#s(alt #s(approx (* a (+ (+ b c) d)) (*.f64 d a)) (patch #s(approx (* a (+ (+ b c) d)) (*.f64 d a)) #<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 c) (* 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 c) (* 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 c) (* 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 (+ 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 (+ (* a b) (* a d)) (taylor 0 c) (#s(alt (fma.f64 (+.f64 c b) a (*.f64 d a)) (patch (fma.f64 (+.f64 c b) a (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (+ (* a b) (+ (* a c) (* a d))) (taylor 0 c) (#s(alt (fma.f64 (+.f64 c b) a (*.f64 d a)) (patch (fma.f64 (+.f64 c b) a (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (+ (* a b) (+ (* a c) (* a d))) (taylor 0 c) (#s(alt (fma.f64 (+.f64 c b) a (*.f64 d a)) (patch (fma.f64 (+.f64 c b) a (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (+ (* a b) (+ (* a c) (* a d))) (taylor 0 c) (#s(alt (fma.f64 (+.f64 c b) a (*.f64 d a)) (patch (fma.f64 (+.f64 c b) a (*.f64 d a)) #<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 (* a (+ b d)) (taylor 0 c) (#s(alt (fma.f64 (+.f64 d b) a (*.f64 c a)) (patch (fma.f64 (+.f64 d b) a (*.f64 c a)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* a (+ b d))) (taylor 0 c) (#s(alt (fma.f64 (+.f64 d b) a (*.f64 c a)) (patch (fma.f64 (+.f64 d b) a (*.f64 c a)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* a (+ b d))) (taylor 0 c) (#s(alt (fma.f64 (+.f64 d b) a (*.f64 c a)) (patch (fma.f64 (+.f64 d b) a (*.f64 c a)) #<representation binary64>) () ())) ())
#s(alt (+ (* a c) (* a (+ b d))) (taylor 0 c) (#s(alt (fma.f64 (+.f64 d b) a (*.f64 c a)) (patch (fma.f64 (+.f64 d b) a (*.f64 c a)) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (*.f64 c a) (patch (*.f64 c a) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (*.f64 c a) (patch (*.f64 c a) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (*.f64 c a) (patch (*.f64 c a) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor 0 c) (#s(alt (*.f64 c a) (patch (*.f64 c a) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt #s(approx (* a (+ (+ b c) d)) (*.f64 d a)) (patch #s(approx (* a (+ (+ b c) d)) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (* a (+ b d)) c))) (taylor inf c) (#s(alt #s(approx (* a (+ (+ b c) d)) (*.f64 d a)) (patch #s(approx (* a (+ (+ b c) d)) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (* a (+ b d)) c))) (taylor inf c) (#s(alt #s(approx (* a (+ (+ b c) d)) (*.f64 d a)) (patch #s(approx (* a (+ (+ b c) d)) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (* a (+ b d)) c))) (taylor inf c) (#s(alt #s(approx (* a (+ (+ b c) d)) (*.f64 d a)) (patch #s(approx (* a (+ (+ b c) d)) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* a 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 (+ a (/ (* a (+ b 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 (+ a (/ (* a (+ b 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 (+ a (/ (* a (+ b 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 (taylor inf c) (#s(alt #s(approx (+ (+ b c) d) (+.f64 c d)) (patch #s(approx (+ (+ b c) d) (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (+ (/ b c) (/ d c)))) (taylor inf c) (#s(alt #s(approx (+ (+ b c) d) (+.f64 c d)) (patch #s(approx (+ (+ b c) d) (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (+ (/ b c) (/ d c)))) (taylor inf c) (#s(alt #s(approx (+ (+ b c) d) (+.f64 c d)) (patch #s(approx (+ (+ b c) d) (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (+ (/ b c) (/ d c)))) (taylor inf c) (#s(alt #s(approx (+ (+ b c) d) (+.f64 c d)) (patch #s(approx (+ (+ b c) d) (+.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 (* a c) (taylor inf c) (#s(alt (fma.f64 (+.f64 c b) a (*.f64 d a)) (patch (fma.f64 (+.f64 c b) a (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (+ (/ (* a b) c) (/ (* a d) c)))) (taylor inf c) (#s(alt (fma.f64 (+.f64 c b) a (*.f64 d a)) (patch (fma.f64 (+.f64 c b) a (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (+ (/ (* a b) c) (/ (* a d) c)))) (taylor inf c) (#s(alt (fma.f64 (+.f64 c b) a (*.f64 d a)) (patch (fma.f64 (+.f64 c b) a (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (+ (/ (* a b) c) (/ (* a d) c)))) (taylor inf c) (#s(alt (fma.f64 (+.f64 c b) a (*.f64 d a)) (patch (fma.f64 (+.f64 c b) a (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt c (taylor inf c) (#s(alt (+.f64 c b) (patch (+.f64 c b) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (/ b c))) (taylor inf c) (#s(alt (+.f64 c b) (patch (+.f64 c b) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (/ b c))) (taylor inf c) (#s(alt (+.f64 c b) (patch (+.f64 c b) #<representation binary64>) () ())) ())
#s(alt (* c (+ 1 (/ b c))) (taylor inf c) (#s(alt (+.f64 c b) (patch (+.f64 c b) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (fma.f64 (+.f64 d b) a (*.f64 c a)) (patch (fma.f64 (+.f64 d b) a (*.f64 c a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (* a (+ b d)) c))) (taylor inf c) (#s(alt (fma.f64 (+.f64 d b) a (*.f64 c a)) (patch (fma.f64 (+.f64 d b) a (*.f64 c a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (* a (+ b d)) c))) (taylor inf c) (#s(alt (fma.f64 (+.f64 d b) a (*.f64 c a)) (patch (fma.f64 (+.f64 d b) a (*.f64 c a)) #<representation binary64>) () ())) ())
#s(alt (* c (+ a (/ (* a (+ b d)) c))) (taylor inf c) (#s(alt (fma.f64 (+.f64 d b) a (*.f64 c a)) (patch (fma.f64 (+.f64 d b) a (*.f64 c a)) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (*.f64 c a) (patch (*.f64 c a) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (*.f64 c a) (patch (*.f64 c a) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (*.f64 c a) (patch (*.f64 c a) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor inf c) (#s(alt (*.f64 c a) (patch (*.f64 c a) #<representation binary64>) () ())) ())
#s(alt (* a c) (taylor -inf c) (#s(alt #s(approx (* a (+ (+ b c) d)) (*.f64 d a)) (patch #s(approx (* a (+ (+ b c) d)) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c))))) (taylor -inf c) (#s(alt #s(approx (* a (+ (+ b c) d)) (*.f64 d a)) (patch #s(approx (* a (+ (+ b c) d)) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c))))) (taylor -inf c) (#s(alt #s(approx (* a (+ (+ b c) d)) (*.f64 d a)) (patch #s(approx (* a (+ (+ b c) d)) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c))))) (taylor -inf c) (#s(alt #s(approx (* a (+ (+ b c) d)) (*.f64 d a)) (patch #s(approx (* a (+ (+ b c) d)) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* a 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 (* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b 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 (* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b 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 (* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b 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 (taylor -inf c) (#s(alt #s(approx (+ (+ b c) d) (+.f64 c d)) (patch #s(approx (+ (+ b c) d) (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ (+ b d) c)) 1))) (taylor -inf c) (#s(alt #s(approx (+ (+ b c) d) (+.f64 c d)) (patch #s(approx (+ (+ b c) d) (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ (+ b d) c)) 1))) (taylor -inf c) (#s(alt #s(approx (+ (+ b c) d) (+.f64 c d)) (patch #s(approx (+ (+ b c) d) (+.f64 c d)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ (+ b d) c)) 1))) (taylor -inf c) (#s(alt #s(approx (+ (+ b c) d) (+.f64 c d)) (patch #s(approx (+ (+ b c) d) (+.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 (* a c) (taylor -inf c) (#s(alt (fma.f64 (+.f64 c b) a (*.f64 d a)) (patch (fma.f64 (+.f64 c b) a (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (+ (* a b) (* a d)) c))))) (taylor -inf c) (#s(alt (fma.f64 (+.f64 c b) a (*.f64 d a)) (patch (fma.f64 (+.f64 c b) a (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (+ (* a b) (* a d)) c))))) (taylor -inf c) (#s(alt (fma.f64 (+.f64 c b) a (*.f64 d a)) (patch (fma.f64 (+.f64 c b) a (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (+ (* -1 a) (* -1 (/ (+ (* a b) (* a d)) c))))) (taylor -inf c) (#s(alt (fma.f64 (+.f64 c b) a (*.f64 d a)) (patch (fma.f64 (+.f64 c b) a (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt c (taylor -inf c) (#s(alt (+.f64 c b) (patch (+.f64 c b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* c (- (* -1 (/ b c)) 1))) (taylor -inf c) (#s(alt (+.f64 c b) (patch (+.f64 c b) #<representation binary64>) () ())) ())
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#s(alt (* d (+ a (+ (/ (* a b) d) (/ (* a c) d)))) (taylor inf d) (#s(alt (fma.f64 (+.f64 d b) a (*.f64 c a)) (patch (fma.f64 (+.f64 d b) a (*.f64 c a)) #<representation binary64>) () ())) ())
#s(alt (* d (+ a (+ (/ (* a b) d) (/ (* a c) d)))) (taylor inf d) (#s(alt (fma.f64 (+.f64 d b) a (*.f64 c a)) (patch (fma.f64 (+.f64 d b) a (*.f64 c a)) #<representation binary64>) () ())) ())
#s(alt (* d (+ a (+ (/ (* a b) d) (/ (* a c) d)))) (taylor inf d) (#s(alt (fma.f64 (+.f64 d b) a (*.f64 c a)) (patch (fma.f64 (+.f64 d b) a (*.f64 c a)) #<representation binary64>) () ())) ())
#s(alt d (taylor inf d) (#s(alt (+.f64 d b) (patch (+.f64 d b) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (/ b d))) (taylor inf d) (#s(alt (+.f64 d b) (patch (+.f64 d b) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (/ b d))) (taylor inf d) (#s(alt (+.f64 d b) (patch (+.f64 d b) #<representation binary64>) () ())) ())
#s(alt (* d (+ 1 (/ b d))) (taylor inf d) (#s(alt (+.f64 d b) (patch (+.f64 d b) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor -inf d) (#s(alt #s(approx (* a (+ (+ b c) d)) (*.f64 d a)) (patch #s(approx (* a (+ (+ b c) d)) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d))))) (taylor -inf d) (#s(alt #s(approx (* a (+ (+ b c) d)) (*.f64 d a)) (patch #s(approx (* a (+ (+ b c) d)) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d))))) (taylor -inf d) (#s(alt #s(approx (* a (+ (+ b c) d)) (*.f64 d a)) (patch #s(approx (* a (+ (+ b c) d)) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d))))) (taylor -inf d) (#s(alt #s(approx (* a (+ (+ b c) d)) (*.f64 d a)) (patch #s(approx (* a (+ (+ b c) d)) (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 d a) (patch (*.f64 d a) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 d a) (patch (*.f64 d a) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 d a) (patch (*.f64 d a) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor -inf d) (#s(alt (*.f64 d a) (patch (*.f64 d a) #<representation binary64>) () ())) ())
#s(alt (* a 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) (* -1 (/ (* a (+ b 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 (* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b 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 (* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b 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 (* -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 (* a d) (taylor -inf d) (#s(alt (fma.f64 (+.f64 c b) a (*.f64 d a)) (patch (fma.f64 (+.f64 c b) a (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d))))) (taylor -inf d) (#s(alt (fma.f64 (+.f64 c b) a (*.f64 d a)) (patch (fma.f64 (+.f64 c b) a (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d))))) (taylor -inf d) (#s(alt (fma.f64 (+.f64 c b) a (*.f64 d a)) (patch (fma.f64 (+.f64 c b) a (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d))))) (taylor -inf d) (#s(alt (fma.f64 (+.f64 c b) a (*.f64 d a)) (patch (fma.f64 (+.f64 c b) a (*.f64 d a)) #<representation binary64>) () ())) ())
#s(alt (* a d) (taylor -inf d) (#s(alt (fma.f64 (+.f64 d b) a (*.f64 c a)) (patch (fma.f64 (+.f64 d b) a (*.f64 c a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 a) (* -1 (/ (+ (* a b) (* a c)) d))))) (taylor -inf d) (#s(alt (fma.f64 (+.f64 d b) a (*.f64 c a)) (patch (fma.f64 (+.f64 d b) a (*.f64 c a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 a) (* -1 (/ (+ (* a b) (* a c)) d))))) (taylor -inf d) (#s(alt (fma.f64 (+.f64 d b) a (*.f64 c a)) (patch (fma.f64 (+.f64 d b) a (*.f64 c a)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (+ (* -1 a) (* -1 (/ (+ (* a b) (* a c)) d))))) (taylor -inf d) (#s(alt (fma.f64 (+.f64 d b) a (*.f64 c a)) (patch (fma.f64 (+.f64 d b) a (*.f64 c a)) #<representation binary64>) () ())) ())
#s(alt d (taylor -inf d) (#s(alt (+.f64 d b) (patch (+.f64 d b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ b d)) 1))) (taylor -inf d) (#s(alt (+.f64 d b) (patch (+.f64 d b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ b d)) 1))) (taylor -inf d) (#s(alt (+.f64 d b) (patch (+.f64 d b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* d (- (* -1 (/ b d)) 1))) (taylor -inf d) (#s(alt (+.f64 d b) (patch (+.f64 d b) #<representation binary64>) () ())) ())
Calls

12 calls:

TimeVariablePointExpression
8.0ms
a
@inf
((* a (+ (+ b c) d)) (* d a) (* a (+ (+ b c) d)) (+ (+ b c) d) (+ c d) (+ (* (+ c b) a) (* d a)) (+ c b) (+ (* (+ d b) a) (* c a)) (+ d b) (* c a))
2.0ms
a
@-inf
((* a (+ (+ b c) d)) (* d a) (* a (+ (+ b c) d)) (+ (+ b c) d) (+ c d) (+ (* (+ c b) a) (* d a)) (+ c b) (+ (* (+ d b) a) (* c a)) (+ d b) (* c a))
2.0ms
b
@-inf
((* a (+ (+ b c) d)) (* d a) (* a (+ (+ b c) d)) (+ (+ b c) d) (+ c d) (+ (* (+ c b) a) (* d a)) (+ c b) (+ (* (+ d b) a) (* c a)) (+ d b) (* c a))
1.0ms
a
@0
((* a (+ (+ b c) d)) (* d a) (* a (+ (+ b c) d)) (+ (+ b c) d) (+ c d) (+ (* (+ c b) a) (* d a)) (+ c b) (+ (* (+ d b) a) (* c a)) (+ d b) (* c a))
1.0ms
c
@-inf
((* a (+ (+ b c) d)) (* d a) (* a (+ (+ b c) d)) (+ (+ b c) d) (+ c d) (+ (* (+ c b) a) (* d a)) (+ c b) (+ (* (+ d b) a) (* c a)) (+ d b) (* c a))

simplify110.0ms (2.4%)

Memory
-20.2MiB live, 101.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01521698
15091698
212861698
337911698
462851698
081941698
Stop Event
iter limit
node limit
Counts
348 → 324
Calls
Call 1
Inputs
(* a (+ b d))
(+ (* a c) (* a (+ b d)))
(+ (* a c) (* a (+ b d)))
(+ (* a c) (* a (+ b d)))
(* a (+ b d))
(+ (* a c) (* a (+ b d)))
(+ (* a c) (* a (+ b d)))
(+ (* a c) (* a (+ b d)))
(+ b d)
(+ b (+ c d))
(+ b (+ c d))
(+ b (+ c d))
d
(+ c d)
(+ c d)
(+ c d)
(+ (* a b) (* a d))
(+ (* a b) (+ (* a c) (* a d)))
(+ (* a b) (+ (* a c) (* a d)))
(+ (* a b) (+ (* a c) (* a d)))
b
(+ b c)
(+ b c)
(+ b c)
(* a (+ b d))
(+ (* a c) (* a (+ b d)))
(+ (* a c) (* a (+ b d)))
(+ (* a c) (* a (+ b d)))
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* c (+ a (/ (* a (+ b d)) c)))
(* c (+ a (/ (* a (+ b d)) c)))
(* c (+ a (/ (* a (+ b d)) c)))
(* a c)
(* c (+ a (/ (* a (+ b d)) c)))
(* c (+ a (/ (* a (+ b d)) c)))
(* c (+ a (/ (* a (+ b 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)))
(* a c)
(* c (+ a (+ (/ (* a b) c) (/ (* a d) c))))
(* c (+ a (+ (/ (* a b) c) (/ (* a d) c))))
(* c (+ a (+ (/ (* a b) c) (/ (* a d) c))))
c
(* c (+ 1 (/ b c)))
(* c (+ 1 (/ b c)))
(* c (+ 1 (/ b c)))
(* a c)
(* c (+ a (/ (* a (+ b d)) c)))
(* c (+ a (/ (* a (+ b d)) c)))
(* c (+ a (/ (* a (+ b d)) c)))
(* a c)
(* a c)
(* a c)
(* a c)
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
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)))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (+ (* a b) (* a d)) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (+ (* a b) (* a d)) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (+ (* a b) (* a d)) c)))))
c
(* -1 (* c (- (* -1 (/ b c)) 1)))
(* -1 (* c (- (* -1 (/ b c)) 1)))
(* -1 (* c (- (* -1 (/ b c)) 1)))
(* a c)
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(* -1 (* c (+ (* -1 a) (* -1 (/ (* a (+ b d)) c)))))
(* a c)
(* a c)
(* a c)
(* a c)
(* a (+ c d))
(+ (* a b) (* a (+ c d)))
(+ (* a b) (* a (+ c d)))
(+ (* a b) (* a (+ c d)))
(* a (+ c d))
(+ (* a b) (* a (+ c d)))
(+ (* a b) (* a (+ c d)))
(+ (* a b) (* a (+ c d)))
(+ c d)
(+ b (+ c d))
(+ b (+ c d))
(+ b (+ c d))
(+ (* a c) (* a d))
(+ (* a b) (+ (* a c) (* a d)))
(+ (* a b) (+ (* a c) (* a d)))
(+ (* a b) (+ (* a c) (* a d)))
c
(+ b c)
(+ b c)
(+ b c)
(+ (* a c) (* a d))
(+ (* a b) (+ (* a c) (* a d)))
(+ (* a b) (+ (* a c) (* a d)))
(+ (* a b) (+ (* a c) (* a d)))
d
(+ b d)
(+ b d)
(+ b d)
(* a b)
(* b (+ a (/ (* a (+ c d)) b)))
(* b (+ a (/ (* a (+ c d)) b)))
(* b (+ a (/ (* a (+ c d)) b)))
(* a b)
(* b (+ a (/ (* a (+ c d)) b)))
(* b (+ a (/ (* a (+ c d)) b)))
(* b (+ a (/ (* a (+ c d)) b)))
b
(* b (+ 1 (+ (/ c b) (/ d b))))
(* b (+ 1 (+ (/ c b) (/ d b))))
(* b (+ 1 (+ (/ c b) (/ d b))))
(* a b)
(* b (+ a (+ (/ (* a c) b) (/ (* a d) b))))
(* b (+ a (+ (/ (* a c) b) (/ (* a d) b))))
(* b (+ a (+ (/ (* a c) b) (/ (* a d) b))))
b
(* b (+ 1 (/ c b)))
(* b (+ 1 (/ c b)))
(* b (+ 1 (/ c b)))
(* a b)
(* b (+ a (+ (/ (* a c) b) (/ (* a d) b))))
(* b (+ a (+ (/ (* a c) b) (/ (* a d) b))))
(* b (+ a (+ (/ (* a c) b) (/ (* a d) b))))
b
(* b (+ 1 (/ d b)))
(* b (+ 1 (/ d b)))
(* b (+ 1 (/ d b)))
(* a b)
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(* a b)
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (* a (+ c d)) b)))))
b
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(* -1 (* b (- (* -1 (/ (+ c d) b)) 1)))
(* a b)
(* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* a c) (* a d)) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* a c) (* a d)) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* a c) (* a d)) b)))))
b
(* -1 (* b (- (* -1 (/ c b)) 1)))
(* -1 (* b (- (* -1 (/ c b)) 1)))
(* -1 (* b (- (* -1 (/ c b)) 1)))
(* a b)
(* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* a c) (* a d)) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* a c) (* a d)) b)))))
(* -1 (* b (+ (* -1 a) (* -1 (/ (+ (* a c) (* a d)) b)))))
b
(* -1 (* b (- (* -1 (/ d b)) 1)))
(* -1 (* b (- (* -1 (/ d b)) 1)))
(* -1 (* b (- (* -1 (/ d b)) 1)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a d)
(* a d)
(* a d)
(* a d)
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a c)
(* a c)
(* a c)
(* a c)
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a d)
(* a d)
(* a d)
(* a d)
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a c)
(* a c)
(* a c)
(* a c)
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a d)
(* a d)
(* a d)
(* a d)
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* a (+ b (+ c d)))
(* -1 (* a (+ (* -1 d) (* -1 (+ b c)))))
(* -1 (* a (+ (* -1 d) (* -1 (+ b c)))))
(* -1 (* a (+ (* -1 d) (* -1 (+ b c)))))
(* -1 (* a (+ (* -1 d) (* -1 (+ b c)))))
(* -1 (* a (+ (* -1 c) (* -1 (+ b d)))))
(* -1 (* a (+ (* -1 c) (* -1 (+ b d)))))
(* -1 (* a (+ (* -1 c) (* -1 (+ b d)))))
(* -1 (* a (+ (* -1 c) (* -1 (+ b d)))))
(* a c)
(* a c)
(* a c)
(* a c)
(* a (+ b c))
(+ (* a d) (* a (+ b c)))
(+ (* a d) (* a (+ b c)))
(+ (* a d) (* a (+ b c)))
(* a d)
(* a d)
(* a d)
(* a d)
(* a (+ b c))
(+ (* a d) (* a (+ b c)))
(+ (* a d) (* a (+ b c)))
(+ (* a d) (* a (+ b c)))
(+ b c)
(+ b (+ c d))
(+ b (+ c d))
(+ b (+ c d))
c
(+ c d)
(+ c d)
(+ c d)
(* a (+ b c))
(+ (* a d) (* a (+ b c)))
(+ (* a d) (* a (+ b c)))
(+ (* a d) (* a (+ b c)))
(+ (* a b) (* a c))
(+ (* a b) (+ (* a c) (* a d)))
(+ (* a b) (+ (* a c) (* a d)))
(+ (* a b) (+ (* a c) (* a d)))
b
(+ b d)
(+ b d)
(+ b d)
(* a d)
(* d (+ a (/ (* a (+ b c)) d)))
(* d (+ a (/ (* a (+ b c)) d)))
(* d (+ a (/ (* a (+ b c)) d)))
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* d (+ a (/ (* a (+ b c)) d)))
(* d (+ a (/ (* a (+ b c)) d)))
(* d (+ a (/ (* a (+ b 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)))
(* a d)
(* d (+ a (/ (* a (+ b c)) d)))
(* d (+ a (/ (* a (+ b c)) d)))
(* d (+ a (/ (* a (+ b c)) d)))
(* a d)
(* d (+ a (+ (/ (* a b) d) (/ (* a c) d))))
(* d (+ a (+ (/ (* a b) d) (/ (* a c) d))))
(* d (+ a (+ (/ (* a b) d) (/ (* a c) d))))
d
(* d (+ 1 (/ b d)))
(* d (+ 1 (/ b d)))
(* d (+ 1 (/ b d)))
(* a d)
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(* a d)
(* a d)
(* a d)
(* a d)
(* a d)
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
d
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
(* -1 (* d (- (* -1 (/ (+ b c) d)) 1)))
d
(* -1 (* d (- (* -1 (/ c d)) 1)))
(* -1 (* d (- (* -1 (/ c d)) 1)))
(* -1 (* d (- (* -1 (/ c d)) 1)))
(* a d)
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(* a d)
(* -1 (* d (+ (* -1 a) (* -1 (/ (+ (* a b) (* a c)) d)))))
(* -1 (* d (+ (* -1 a) (* -1 (/ (+ (* a b) (* a c)) d)))))
(* -1 (* d (+ (* -1 a) (* -1 (/ (+ (* a b) (* a c)) d)))))
d
(* -1 (* d (- (* -1 (/ b d)) 1)))
(* -1 (* d (- (* -1 (/ b d)) 1)))
(* -1 (* d (- (* -1 (/ b d)) 1)))
Outputs
(* a (+ b d))
(*.f64 (+.f64 d b) a)
(+ (* a c) (* a (+ b d)))
(*.f64 (+.f64 (+.f64 c d) b) a)
(+ (* a c) (* a (+ b d)))
(*.f64 (+.f64 (+.f64 c d) b) a)
(+ (* a c) (* a (+ b d)))
(*.f64 (+.f64 (+.f64 c d) b) a)
(* a (+ b d))
(*.f64 (+.f64 d b) a)
(+ (* a c) (* a (+ b d)))
(*.f64 (+.f64 (+.f64 c d) b) a)
(+ (* a c) (* a (+ b d)))
(*.f64 (+.f64 (+.f64 c d) b) a)
(+ (* a c) (* a (+ b d)))
(*.f64 (+.f64 (+.f64 c d) b) a)
(+ 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)
(+ (* a b) (* a d))
(*.f64 (+.f64 d b) a)
(+ (* a b) (+ (* a c) (* a d)))
(*.f64 (+.f64 (+.f64 c d) b) a)
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(*.f64 d a)
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(*.f64 (+.f64 (+.f64 c d) b) a)
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(*.f64 (+.f64 (+.f64 c d) b) a)
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(*.f64 (+.f64 (+.f64 c d) b) a)
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)
(* a d)
(*.f64 d a)
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(*.f64 (+.f64 (+.f64 c d) b) a)
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(*.f64 (+.f64 (+.f64 c d) b) a)
(* -1 (* d (+ (* -1 a) (* -1 (/ (* a (+ b c)) d)))))
(*.f64 (+.f64 (+.f64 c d) b) a)
(* a d)
(*.f64 d a)
(* -1 (* d (+ (* -1 a) (* -1 (/ (+ (* a b) (* a c)) d)))))
(*.f64 (+.f64 (+.f64 c d) b) a)
(* -1 (* d (+ (* -1 a) (* -1 (/ (+ (* a b) (* a c)) d)))))
(*.f64 (+.f64 (+.f64 c d) b) a)
(* -1 (* d (+ (* -1 a) (* -1 (/ (+ (* a b) (* a c)) d)))))
(*.f64 (+.f64 (+.f64 c d) b) a)
d
(* -1 (* d (- (* -1 (/ b d)) 1)))
(+.f64 d b)
(* -1 (* d (- (* -1 (/ b d)) 1)))
(+.f64 d b)
(* -1 (* d (- (* -1 (/ b d)) 1)))
(+.f64 d b)

rewrite185.0ms (4.1%)

Memory
31.5MiB live, 220.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01762
02760
112060
2102860
0826860
Stop Event
iter limit
node limit
iter limit
Counts
10 → 363
Calls
Call 1
Inputs
#s(approx (* a (+ (+ b c) d)) (*.f64 d a))
(*.f64 d a)
(*.f64 a #s(approx (+ (+ b c) d) (+.f64 c d)))
#s(approx (+ (+ b c) d) (+.f64 c d))
(+.f64 c d)
(fma.f64 (+.f64 c b) a (*.f64 d a))
(+.f64 c b)
(fma.f64 (+.f64 d b) a (*.f64 c a))
(+.f64 d b)
(*.f64 c a)
Outputs
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eval79.0ms (1.7%)

Memory
-1.9MiB live, 152.6MiB allocated
Compiler

Compiled 11 631 to 802 computations (93.1% saved)

prune16.0ms (0.4%)

Memory
24.1MiB live, 63.4MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New7130713
Fresh000
Picked044
Done011
Total7135718
Accuracy
100.0%
Counts
718 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (+.f64 d b) a (*.f64 c a))
99.9%
(fma.f64 (+.f64 c b) a (*.f64 d a))
99.9%
(*.f64 a (+.f64 (+.f64 b c) d))
99.6%
(*.f64 a #s(approx (+ (+ b c) d) (+.f64 c d)))
93.7%
#s(approx (* a (+ (+ b c) d)) (*.f64 d a))
Compiler

Compiled 66 to 51 computations (22.7% saved)

regimes18.0ms (0.4%)

Memory
2.5MiB live, 41.7MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (* a (+ (+ b c) d)) (*.f64 d a))
(*.f64 a #s(approx (+ (+ b c) d) (+.f64 c d)))
(*.f64 a (+.f64 (+.f64 b c) d))
(fma.f64 (+.f64 c b) a (*.f64 d a))
(fma.f64 (+.f64 d b) a (*.f64 c a))
Outputs
(fma.f64 (+.f64 d b) a (*.f64 c a))
Calls

7 calls:

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

Compiled 19 to 34 computations (-78.9% saved)

regimes17.0ms (0.4%)

Memory
-7.6MiB live, 36.8MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (* a (+ (+ b c) d)) (*.f64 d a))
(*.f64 a #s(approx (+ (+ b c) d) (+.f64 c d)))
(*.f64 a (+.f64 (+.f64 b c) d))
(fma.f64 (+.f64 c b) a (*.f64 d a))
Outputs
(*.f64 a (+.f64 (+.f64 b c) d))
Calls

7 calls:

4.0ms
(+.f64 b c)
2.0ms
a
2.0ms
(+.f64 (+.f64 b c) d)
2.0ms
(*.f64 a (+.f64 (+.f64 b c) d))
2.0ms
c
Results
AccuracySegmentsBranch
99.9%1a
99.9%1b
99.9%1c
99.9%1d
99.9%1(*.f64 a (+.f64 (+.f64 b c) d))
99.9%1(+.f64 (+.f64 b c) d)
99.9%1(+.f64 b c)
Compiler

Compiled 19 to 34 computations (-78.9% saved)

regimes12.0ms (0.3%)

Memory
-10.4MiB live, 28.6MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* a (+ (+ b c) d)) (*.f64 d a))
(*.f64 a #s(approx (+ (+ b c) d) (+.f64 c d)))
Outputs
(*.f64 a #s(approx (+ (+ b c) d) (+.f64 c d)))
Calls

7 calls:

2.0ms
(+.f64 b c)
2.0ms
(+.f64 (+.f64 b c) d)
2.0ms
(*.f64 a (+.f64 (+.f64 b c) d))
2.0ms
d
2.0ms
a
Results
AccuracySegmentsBranch
99.6%1a
99.6%1b
99.6%1c
99.6%1d
99.6%1(*.f64 a (+.f64 (+.f64 b c) d))
99.6%1(+.f64 (+.f64 b c) d)
99.6%1(+.f64 b c)
Compiler

Compiled 19 to 34 computations (-78.9% saved)

regimes10.0ms (0.2%)

Memory
-17.6MiB live, 20.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

7 calls:

2.0ms
b
1.0ms
(*.f64 a (+.f64 (+.f64 b c) d))
1.0ms
(+.f64 (+.f64 b c) d)
1.0ms
(+.f64 b c)
1.0ms
d
Results
AccuracySegmentsBranch
93.7%1a
93.7%1b
93.7%1c
93.7%1d
93.7%1(*.f64 a (+.f64 (+.f64 b c) d))
93.7%1(+.f64 (+.f64 b c) d)
93.7%1(+.f64 b c)
Compiler

Compiled 19 to 34 computations (-78.9% saved)

simplify9.0ms (0.2%)

Memory
15.6MiB live, 15.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01837
13737
25837
39237
49237
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (+.f64 d b) a (*.f64 c a))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 a #s(approx (+ (+ b c) d) (+.f64 c d)))
#s(approx (* a (+ (+ b c) d)) (*.f64 d a))
Outputs
(fma.f64 (+.f64 d b) a (*.f64 c a))
(fma.f64 (+.f64 b d) a (*.f64 c a))
(*.f64 a (+.f64 (+.f64 b c) d))
(*.f64 (+.f64 (+.f64 c b) d) a)
(*.f64 a #s(approx (+ (+ b c) d) (+.f64 c d)))
(*.f64 #s(approx (+ (+ b c) d) (+.f64 c d)) a)
#s(approx (* a (+ (+ b c) d)) (*.f64 d a))
#s(approx (* a (+ (+ b c) d)) (*.f64 a d))

soundness420.0ms (9.2%)

Memory
-13.2MiB live, 242.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
01015
14615
238815
3569815
0879815
084516
1276516
2788516
32371516
45512516
57844516
08206516
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 48 to 36 computations (25% saved)

preprocess146.0ms (3.2%)

Memory
12.9MiB live, 169.7MiB allocated
Remove

(negabs a)

Compiler

Compiled 322 to 270 computations (16.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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