Expression 4, p15

Time bar (total: 3.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze24.0ms (0.7%)

Memory
3.1MiB live, 46.8MiB 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
50%0%0%100%0%0%0%3
50%0%0%100%0%0%0%4
75%0%0%100%0%0%0%5
75%0%0%100%0%0%0%6
87.5%0%0%100%0%0%0%7
87.5%0%0%100%0%0%0%8
93.8%0%0%100%0%0%0%9
93.8%0%0%100%0%0%0%10
96.9%0%0%100%0%0%0%11
96.9%0%0%100%0%0%0%12
Compiler

Compiled 23 to 16 computations (30.4% saved)

sample1.3s (35.6%)

Memory
14.1MiB live, 1 617.9MiB allocated
Samples
897.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 537.0ms
const: 183.0ms (34.1% of total)
ival-mult: 174.0ms (32.4% of total)
ival-<=: 93.0ms (17.3% of total)
ival-add: 47.0ms (8.8% of total)
ival-and: 23.0ms (4.3% of total)
exact: 13.0ms (2.4% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

explain69.0ms (2%)

Memory
-5.5MiB live, 71.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 a b)
00-0-(*.f64 (+.f64 a b) (+.f64 a b))
00-0-a
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
17.0ms512×0valid
Compiler

Compiled 35 to 16 computations (54.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 3.0ms (46.6% of total)
ival-mult: 3.0ms (46.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess99.0ms (2.8%)

Memory
-50.0MiB live, 48.2MiB allocated
Algorithm
egg-herbie
Rules
570×distribute-rgt-in
518×unsub-neg
446×distribute-lft-in
286×distribute-lft-out
280×associate-+l-
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01245
15035
221035
353335
4107535
5197035
6275635
7290035
8290035
9290035
10294235
11295835
047
067
1137
2297
3577
4807
5967
61057
71117
01117
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 a b) (+.f64 a b))
Outputs
(*.f64 (+.f64 a b) (+.f64 a b))
(*.f64 (+.f64 b a) (+.f64 b a))
Symmetry

(sort a b)

Compiler

Compiled 7 to 4 computations (42.9% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 a b) (+.f64 a b))
Compiler

Compiled 7 to 4 computations (42.9% saved)

simplify5.0ms (0.1%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 a b)
cost-diff0
(*.f64 (+.f64 a b) (+.f64 a b))
Rules
124×lower-fma.f64
124×lower-fma.f32
86×lower-+.f32
84×lower-+.f64
50×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0412
0612
11312
22912
35712
48012
59612
610512
711112
011112
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (+.f64 a b) (+.f64 a b))
(+.f64 a b)
a
b
Outputs
(*.f64 (+.f64 a b) (+.f64 a b))
(*.f64 (+.f64 b a) (+.f64 b a))
(+.f64 a b)
(+.f64 b a)
a
b

localize12.0ms (0.3%)

Memory
14.5MiB live, 14.5MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 a b)
accuracy0.0234375
(*.f64 (+.f64 a b) (+.f64 a b))
Samples
8.0ms256×0valid
Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-add: 1.0ms (32.1% of total)
ival-mult: 1.0ms (32.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
4.0MiB live, 4.0MiB allocated
Counts
2 → 48
Calls
Call 1
Inputs
#s(alt (*.f64 (+.f64 a b) (+.f64 a b)) (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())
#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())
Outputs
#s(alt (pow a 2) (taylor 0 b) (#s(alt (*.f64 (+.f64 a b) (+.f64 a b)) (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* a b)) (pow a 2)) (taylor 0 b) (#s(alt (*.f64 (+.f64 a b) (+.f64 a b)) (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ b (* 2 a))) (pow a 2)) (taylor 0 b) (#s(alt (*.f64 (+.f64 a b) (+.f64 a b)) (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ b (* 2 a))) (pow a 2)) (taylor 0 b) (#s(alt (*.f64 (+.f64 a b) (+.f64 a b)) (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt a (taylor 0 b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor inf b) (#s(alt (*.f64 (+.f64 a b) (+.f64 a b)) (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* 2 (/ a b)))) (taylor inf b) (#s(alt (*.f64 (+.f64 a b) (+.f64 a b)) (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2))))) (taylor inf b) (#s(alt (*.f64 (+.f64 a b) (+.f64 a b)) (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2))))) (taylor inf b) (#s(alt (*.f64 (+.f64 a b) (+.f64 a b)) (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt b (taylor inf b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (/ a b))) (taylor inf b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (/ a b))) (taylor inf b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* b (+ 1 (/ a b))) (taylor inf b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor -inf b) (#s(alt (*.f64 (+.f64 a b) (+.f64 a b)) (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* 2 (/ a b)))) (taylor -inf b) (#s(alt (*.f64 (+.f64 a b) (+.f64 a b)) (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b)))) (taylor -inf b) (#s(alt (*.f64 (+.f64 a b) (+.f64 a b)) (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b)))) (taylor -inf b) (#s(alt (*.f64 (+.f64 a b) (+.f64 a b)) (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt b (taylor -inf b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ a b)) 1))) (taylor -inf b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ a b)) 1))) (taylor -inf b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* b (- (* -1 (/ a b)) 1))) (taylor -inf b) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 a) (#s(alt (*.f64 (+.f64 a b) (+.f64 a b)) (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* a b)) (pow b 2)) (taylor 0 a) (#s(alt (*.f64 (+.f64 a b) (+.f64 a b)) (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ a (* 2 b))) (pow b 2)) (taylor 0 a) (#s(alt (*.f64 (+.f64 a b) (+.f64 a b)) (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ a (* 2 b))) (pow b 2)) (taylor 0 a) (#s(alt (*.f64 (+.f64 a b) (+.f64 a b)) (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (+ a b) (taylor 0 a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (*.f64 (+.f64 a b) (+.f64 a b)) (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor inf a) (#s(alt (*.f64 (+.f64 a b) (+.f64 a b)) (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (*.f64 (+.f64 a b) (+.f64 a b)) (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (*.f64 (+.f64 a b) (+.f64 a b)) (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt a (taylor inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (/ b a))) (taylor inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (/ b a))) (taylor inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* a (+ 1 (/ b a))) (taylor inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (*.f64 (+.f64 a b) (+.f64 a b)) (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor -inf a) (#s(alt (*.f64 (+.f64 a b) (+.f64 a b)) (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)))) (taylor -inf a) (#s(alt (*.f64 (+.f64 a b) (+.f64 a b)) (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)))) (taylor -inf a) (#s(alt (*.f64 (+.f64 a b) (+.f64 a b)) (patch (*.f64 (+.f64 a b) (+.f64 a b)) #<representation binary64>) () ())) ())
#s(alt a (taylor -inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ b a)) 1))) (taylor -inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ b a)) 1))) (taylor -inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ b a)) 1))) (taylor -inf a) (#s(alt (+.f64 a b) (patch (+.f64 a b) #<representation binary64>) () ())) ())
Calls

6 calls:

TimeVariablePointExpression
0.0ms
a
@-inf
((* (+ a b) (+ a b)) (+ a b))
0.0ms
b
@-inf
((* (+ a b) (+ a b)) (+ a b))
0.0ms
b
@inf
((* (+ a b) (+ a b)) (+ a b))
0.0ms
a
@inf
((* (+ a b) (+ a b)) (+ a b))
0.0ms
b
@0
((* (+ a b) (+ a b)) (+ a b))

simplify138.0ms (3.9%)

Memory
5.4MiB live, 76.4MiB allocated
Algorithm
egg-herbie
Rules
7 026×lower-fma.f64
7 026×lower-fma.f32
2 898×lower-*.f64
2 898×lower-*.f32
1 650×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065270
1193264
2488264
31576252
43881252
56929252
08083222
Stop Event
iter limit
node limit
Counts
48 → 42
Calls
Call 1
Inputs
(pow a 2)
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
a
(+ a b)
(+ a b)
(+ a b)
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
b
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(* b (+ 1 (/ a b)))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(* -1 (* b (- (* -1 (/ a b)) 1)))
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
b
(+ a b)
(+ a b)
(+ a b)
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
a
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(* a (+ 1 (/ b a)))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
(* -1 (* a (- (* -1 (/ b a)) 1)))
Outputs
(pow a 2)
(*.f64 a a)
(+ (* 2 (* a b)) (pow a 2))
(*.f64 (fma.f64 b #s(literal 2 binary64) a) a)
(+ (* b (+ b (* 2 a))) (pow a 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(+ (* b (+ b (* 2 a))) (pow a 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
a
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
b
(* b (+ 1 (/ a b)))
(+.f64 b a)
(* b (+ 1 (/ a b)))
(+.f64 b a)
(* b (+ 1 (/ a b)))
(+.f64 b a)
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
b
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+.f64 b a)
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+.f64 b a)
(* -1 (* b (- (* -1 (/ a b)) 1)))
(+.f64 b a)
(pow b 2)
(*.f64 b b)
(+ (* 2 (* a b)) (pow b 2))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(+ (* a (+ a (* 2 b))) (pow b 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(+ (* a (+ a (* 2 b))) (pow b 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
b
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
(+ a b)
(+.f64 b a)
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(*.f64 (fma.f64 b #s(literal 2 binary64) a) a)
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
a
(* a (+ 1 (/ b a)))
(+.f64 b a)
(* a (+ 1 (/ b a)))
(+.f64 b a)
(* a (+ 1 (/ b a)))
(+.f64 b a)
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(*.f64 (fma.f64 b #s(literal 2 binary64) a) a)
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
a
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+.f64 b a)
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+.f64 b a)
(* -1 (* a (- (* -1 (/ b a)) 1)))
(+.f64 b a)

rewrite285.0ms (8.1%)

Memory
-27.9MiB live, 414.6MiB allocated
Rules
5 646×lower-*.f32
5 644×lower-*.f64
4 194×lower-fma.f64
4 194×lower-fma.f32
3 878×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0410
068
1288
22208
328178
091518
Stop Event
iter limit
node limit
iter limit
Counts
2 → 989
Calls
Call 1
Inputs
(*.f64 (+.f64 a b) (+.f64 a b))
(+.f64 a b)
Outputs
(*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) (-.f64 a b)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 b a) b (*.f64 a a)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) (-.f64 a b)) (*.f64 (-.f64 a b) (+.f64 b a))) #s(literal 1 binary64)) (+.f64 b a))
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(*.f64 (pow.f64 (sqrt.f64 (+.f64 b a)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (+.f64 b a)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (+.f64 b a) (-.f64 b a)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (*.f64 (-.f64 a b) (+.f64 b a))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (neg.f64 (-.f64 a b)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 1 binary64)) (pow.f64 (/.f64 (+.f64 b a) (fma.f64 (-.f64 b a) b (*.f64 a a))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal 1 binary64)) (pow.f64 (*.f64 (+.f64 b a) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 (+.f64 b a) b (*.f64 a a)))
(*.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 2 binary64)))) (-.f64 (*.f64 a a) (*.f64 (-.f64 b a) b)))
(*.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 b a) b) #s(literal 3 binary64)) (pow.f64 a #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 b a) b) (-.f64 (*.f64 (-.f64 b a) b) (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (*.f64 (-.f64 a b) (+.f64 b a))) (+.f64 b a))
(*.f64 (sqrt.f64 (+.f64 b a)) (sqrt.f64 (+.f64 b a)))
(*.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (pow.f64 (-.f64 b a) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 a b) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 a b) (+.f64 b a)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 a b) #s(literal -1 binary64)) (*.f64 (-.f64 a b) (+.f64 b a)))
(*.f64 (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal -1 binary64)) (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 b a))
(*.f64 (neg.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (pow.f64 (neg.f64 (-.f64 a b)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (pow.f64 (-.f64 a b) #s(literal -1 binary64)))
(*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (/.f64 (+.f64 b a) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (*.f64 (+.f64 b a) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal -1 binary64)))
(*.f64 (+.f64 b a) (pow.f64 (/.f64 (-.f64 a b) (-.f64 a b)) #s(literal 1 binary64)))
(*.f64 (+.f64 b a) (pow.f64 (*.f64 (-.f64 a b) (pow.f64 (-.f64 a b) #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (+.f64 b a) (/.f64 (-.f64 a b) (-.f64 a b)))
(*.f64 (+.f64 b a) (*.f64 (-.f64 a b) (pow.f64 (-.f64 a b) #s(literal -1 binary64))))
(pow.f64 (sqrt.f64 (+.f64 b a)) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 b a) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (+.f64 b a) #s(literal 1 binary64))
(/.f64 (-.f64 (neg.f64 (*.f64 a a)) (*.f64 (neg.f64 b) b)) (neg.f64 (-.f64 a b)))
(/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 b a) (-.f64 b a)))) (exp.f64 (log.f64 (-.f64 b a))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (*.f64 (-.f64 a b) (+.f64 b a))))) (exp.f64 (log.f64 (neg.f64 (-.f64 a b)))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))))) (exp.f64 (log.f64 (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))))
(/.f64 (exp.f64 (log.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) (exp.f64 (log.f64 (-.f64 a b))))
(/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (exp.f64 (log.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (-.f64 a b) #s(literal -1 binary64))) (fma.f64 b b (*.f64 a a)))
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (-.f64 a b) #s(literal -1 binary64))) (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal -1 binary64))) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 9 binary64)) (pow.f64 a #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (*.f64 b a) #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 a (/.f64 a (-.f64 a b))) #s(literal 2 binary64)) (pow.f64 (*.f64 b (/.f64 b (-.f64 a b))) #s(literal 2 binary64))) (fma.f64 a (/.f64 a (-.f64 a b)) (*.f64 b (/.f64 b (-.f64 a b)))))
(/.f64 (-.f64 (/.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 (-.f64 a b) #s(literal 3 binary64))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (-.f64 a b) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 a (/.f64 a (-.f64 a b))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 b (/.f64 b (-.f64 a b))) #s(literal 2 binary64)) (*.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b (/.f64 b (-.f64 a b)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 b a) (-.f64 b a))) (neg.f64 (-.f64 b a)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 a b) (+.f64 b a)))) (neg.f64 (neg.f64 (-.f64 a b))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 b a) b (*.f64 a a)))
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64))) (-.f64 a b)))
(/.f64 (*.f64 (+.f64 (pow.f64 b #s(literal 9 binary64)) (pow.f64 a #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (*.f64 b a) #s(literal 3 binary64))) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(/.f64 (*.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 b b (*.f64 a a)) (-.f64 a b)))
(/.f64 (-.f64 (*.f64 (*.f64 a a) (-.f64 a b)) (*.f64 (-.f64 a b) (*.f64 b b))) (pow.f64 (-.f64 a b) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (-.f64 a b) (fma.f64 b b (*.f64 a a))))
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 (-.f64 a b) (fma.f64 (*.f64 b b) (fma.f64 b b (*.f64 a a)) (pow.f64 a #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))))
(/.f64 (*.f64 (+.f64 b a) (-.f64 b a)) (-.f64 b a))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 b a) (*.f64 (+.f64 b a) (-.f64 b a))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 b a) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 b a) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 b #s(literal 9 binary64)) (pow.f64 a #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)) (-.f64 (+.f64 (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (*.f64 b a) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (neg.f64 (-.f64 a b)))
(/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a))))
(/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (-.f64 a b))
(/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 (-.f64 b a) b (*.f64 a a)))
(neg.f64 (/.f64 (neg.f64 (*.f64 (-.f64 a b) (+.f64 b a))) (-.f64 a b)))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (-.f64 b a) b (*.f64 a a))))
(neg.f64 (/.f64 (*.f64 (-.f64 a b) (+.f64 b a)) (neg.f64 (-.f64 a b))))
(neg.f64 (/.f64 (+.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 b a) b (*.f64 a a)))))
(fma.f64 (/.f64 (*.f64 a a) (-.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 (+.f64 b a) b (*.f64 a a)) (neg.f64 (*.f64 b (/.f64 b (-.f64 a b)))))
(fma.f64 (/.f64 (*.f64 a a) (*.f64 (-.f64 a b) (+.f64 b a))) (+.f64 b a) (neg.f64 (*.f64 b (/.f64 b (-.f64 a b)))))
(fma.f64 (*.f64 a a) (pow.f64 (-.f64 a b) #s(literal -1 binary64)) (neg.f64 (*.f64 b (/.f64 b (-.f64 a b)))))
(fma.f64 a (/.f64 a (-.f64 a b)) (neg.f64 (*.f64 b (/.f64 b (-.f64 a b)))))
(-.f64 (/.f64 (*.f64 b b) (-.f64 b a)) (/.f64 (*.f64 a a) (-.f64 b a)))
(-.f64 (*.f64 a (/.f64 a (-.f64 a b))) (*.f64 b (/.f64 b (-.f64 a b))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 b a))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (+.f64 b a)))
(+.f64 (*.f64 a (/.f64 a (-.f64 a b))) (neg.f64 (*.f64 b (/.f64 b (-.f64 a b)))))
(+.f64 b a)
(+.f64 a b)

eval394.0ms (11.2%)

Memory
25.3MiB live, 258.0MiB allocated
Compiler

Compiled 43 687 to 2 966 computations (93.2% saved)

prune37.0ms (1.1%)

Memory
1.1MiB live, 48.0MiB allocated
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1 13831 141
Fresh000
Picked011
Done000
Total1 13841 142
Accuracy
100.0%
Counts
1 142 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 a b) (+.f64 a b))
100.0%
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
99.7%
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
98.7%
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
Compiler

Compiled 28 to 21 computations (25% saved)

simplify6.0ms (0.2%)

Memory
9.4MiB live, 9.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 a a)
cost-diff0
(fma.f64 #s(literal 2 binary64) a b)
cost-diff0
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
cost-diff384
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
cost-diff0
(fma.f64 #s(literal 2 binary64) a b)
cost-diff0
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
cost-diff0
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
cost-diff0
(*.f64 b b)
cost-diff0
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
Rules
124×lower-fma.f32
120×lower-fma.f64
86×lower-+.f64
86×lower-+.f32
58×associate-+r+
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01378
01978
13078
24878
39778
413074
514374
614974
014974
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
(*.f64 b b)
b
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(fma.f64 #s(literal 2 binary64) a b)
#s(literal 2 binary64)
a
b
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(fma.f64 #s(literal 2 binary64) a b)
#s(literal 2 binary64)
a
b
(*.f64 a a)
Outputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
(*.f64 b b)
b
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(fma.f64 #s(literal 2 binary64) a b)
#s(literal 2 binary64)
a
b
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
#s(approx (* (+ a b) (+ a b)) (*.f64 (+.f64 b a) (+.f64 b a)))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(*.f64 (+.f64 b a) (+.f64 b a))
(fma.f64 #s(literal 2 binary64) a b)
#s(literal 2 binary64)
a
b
(*.f64 a a)

localize32.0ms (0.9%)

Memory
-16.4MiB live, 59.0MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
accuracy0
(fma.f64 #s(literal 2 binary64) a b)
accuracy0
(*.f64 a a)
accuracy0
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
accuracy0
(fma.f64 #s(literal 2 binary64) a b)
accuracy0.00390625
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
accuracy0.20743451812170327
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
accuracy0
(*.f64 b b)
accuracy0.8390721852310935
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
Samples
22.0ms256×0valid
Compiler

Compiled 64 to 13 computations (79.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 7.0ms (54.2% of total)
ival-add: 5.0ms (38.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.3%)

Memory
19.9MiB live, 20.0MiB allocated
Counts
8 → 168
Calls
Call 1
Inputs
#s(alt #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) (patch #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())
#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())
#s(alt #s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) (patch #s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) #<representation binary64>) () ())
#s(alt (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) (patch (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 2 binary64) a b) (patch (fma.f64 #s(literal 2 binary64) a b) #<representation binary64>) () ())
#s(alt (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)) (patch (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)) #<representation binary64>) () ())
#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))) (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))) #<representation binary64>) () ())
#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())
Outputs
#s(alt (pow a 2) (taylor 0 b) (#s(alt #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) (patch #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* a b)) (pow a 2)) (taylor 0 b) (#s(alt #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) (patch #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ b (* 2 a))) (pow a 2)) (taylor 0 b) (#s(alt #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) (patch #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (+ (* b (+ b (* 2 a))) (pow a 2)) (taylor 0 b) (#s(alt #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) (patch #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 b) (#s(alt (*.f64 b b) (patch (*.f64 b b) #<representation binary64>) () ())) ())
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#s(alt (+ (* a (+ a (* 2 b))) (pow b 2)) (taylor 0 a) (#s(alt #s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) (patch #s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 a) (#s(alt (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) (patch (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* a b)) (pow b 2)) (taylor 0 a) (#s(alt (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) (patch (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* a b)) (pow b 2)) (taylor 0 a) (#s(alt (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) (patch (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* a b)) (pow b 2)) (taylor 0 a) (#s(alt (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) (patch (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) #<representation binary64>) () ())) ())
#s(alt b (taylor 0 a) (#s(alt (fma.f64 #s(literal 2 binary64) a b) (patch (fma.f64 #s(literal 2 binary64) a b) #<representation binary64>) () ())) ())
#s(alt (+ b (* 2 a)) (taylor 0 a) (#s(alt (fma.f64 #s(literal 2 binary64) a b) (patch (fma.f64 #s(literal 2 binary64) a b) #<representation binary64>) () ())) ())
#s(alt (+ b (* 2 a)) (taylor 0 a) (#s(alt (fma.f64 #s(literal 2 binary64) a b) (patch (fma.f64 #s(literal 2 binary64) a b) #<representation binary64>) () ())) ())
#s(alt (+ b (* 2 a)) (taylor 0 a) (#s(alt (fma.f64 #s(literal 2 binary64) a b) (patch (fma.f64 #s(literal 2 binary64) a b) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 a) (#s(alt (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)) (patch (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* a b)) (pow b 2)) (taylor 0 a) (#s(alt (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)) (patch (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ a (* 2 b))) (pow b 2)) (taylor 0 a) (#s(alt (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)) (patch (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ a (* 2 b))) (pow b 2)) (taylor 0 a) (#s(alt (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)) (patch (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (pow b 2) (taylor 0 a) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))) (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (+ (* 2 (* a b)) (pow b 2)) (taylor 0 a) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))) (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ a (* 2 b))) (pow b 2)) (taylor 0 a) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))) (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (+ (* a (+ a (* 2 b))) (pow b 2)) (taylor 0 a) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))) (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor 0 a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) (patch #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) (patch #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) (patch #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) (patch #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) (patch #s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) (patch #s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) (patch #s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) (patch #s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor inf a) (#s(alt (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) (patch (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 2 b) (/ (pow b 2) a))) (taylor inf a) (#s(alt (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) (patch (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 2 b) (/ (pow b 2) a))) (taylor inf a) (#s(alt (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) (patch (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) #<representation binary64>) () ())) ())
#s(alt (* a (+ (* 2 b) (/ (pow b 2) a))) (taylor inf a) (#s(alt (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) (patch (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) #<representation binary64>) () ())) ())
#s(alt (* 2 a) (taylor inf a) (#s(alt (fma.f64 #s(literal 2 binary64) a b) (patch (fma.f64 #s(literal 2 binary64) a b) #<representation binary64>) () ())) ())
#s(alt (* a (+ 2 (/ b a))) (taylor inf a) (#s(alt (fma.f64 #s(literal 2 binary64) a b) (patch (fma.f64 #s(literal 2 binary64) a b) #<representation binary64>) () ())) ())
#s(alt (* a (+ 2 (/ b a))) (taylor inf a) (#s(alt (fma.f64 #s(literal 2 binary64) a b) (patch (fma.f64 #s(literal 2 binary64) a b) #<representation binary64>) () ())) ())
#s(alt (* a (+ 2 (/ b a))) (taylor inf a) (#s(alt (fma.f64 #s(literal 2 binary64) a b) (patch (fma.f64 #s(literal 2 binary64) a b) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)) (patch (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor inf a) (#s(alt (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)) (patch (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)) (patch (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)) (patch (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))) (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))) (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))) (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2))))) (taylor inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))) (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) (patch #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor -inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) (patch #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)))) (taylor -inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) (patch #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)))) (taylor -inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) (patch #s(approx (* (+ a b) (+ a b)) (*.f64 b b)) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) (patch #s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor -inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) (patch #s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)))) (taylor -inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) (patch #s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)))) (taylor -inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) (patch #s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)) #<representation binary64>) () ())) ())
#s(alt (* 2 (* a b)) (taylor -inf a) (#s(alt (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) (patch (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a))))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) (patch (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a))))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) (patch (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a))))) (taylor -inf a) (#s(alt (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) (patch (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) #<representation binary64>) () ())) ())
#s(alt (* 2 a) (taylor -inf a) (#s(alt (fma.f64 #s(literal 2 binary64) a b) (patch (fma.f64 #s(literal 2 binary64) a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ b a)) 2))) (taylor -inf a) (#s(alt (fma.f64 #s(literal 2 binary64) a b) (patch (fma.f64 #s(literal 2 binary64) a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ b a)) 2))) (taylor -inf a) (#s(alt (fma.f64 #s(literal 2 binary64) a b) (patch (fma.f64 #s(literal 2 binary64) a b) #<representation binary64>) () ())) ())
#s(alt (* -1 (* a (- (* -1 (/ b a)) 2))) (taylor -inf a) (#s(alt (fma.f64 #s(literal 2 binary64) a b) (patch (fma.f64 #s(literal 2 binary64) a b) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)) (patch (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)) (patch (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)))) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)) (patch (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)))) (taylor -inf a) (#s(alt (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)) (patch (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))) (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* 2 (/ b a)))) (taylor -inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))) (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)))) (taylor -inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))) (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a)))) (taylor -inf a) (#s(alt #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))) (patch #s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
#s(alt (pow a 2) (taylor -inf a) (#s(alt (*.f64 a a) (patch (*.f64 a a) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify121.0ms (3.4%)

Memory
1.6MiB live, 192.6MiB allocated
Algorithm
egg-herbie
Rules
9 500×lower-fma.f64
9 500×lower-fma.f32
3 576×lower-*.f64
3 576×lower-*.f32
1 098×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0671116
12081092
25671092
316531092
436741092
561931092
08074936
Stop Event
iter limit
node limit
Counts
168 → 165
Calls
Call 1
Inputs
(pow a 2)
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow a 2)
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(* 2 (* a b))
(* b (+ b (* 2 a)))
(* b (+ b (* 2 a)))
(* b (+ b (* 2 a)))
(* 2 a)
(+ b (* 2 a))
(+ b (* 2 a))
(+ b (* 2 a))
(pow a 2)
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(pow a 2)
(+ (* 2 (* a b)) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(+ (* b (+ b (* 2 a))) (pow a 2))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
b
(* b (+ 1 (* 2 (/ a b))))
(* b (+ 1 (* 2 (/ a b))))
(* b (+ 1 (* 2 (/ a b))))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* 2 (/ a b))))
b
(* -1 (* b (- (* -2 (/ a b)) 1)))
(* -1 (* b (- (* -2 (/ a b)) 1)))
(* -1 (* b (- (* -2 (/ a b)) 1)))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(pow b 2)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* 2 (* a b)) (pow b 2))
(+ (* 2 (* a b)) (pow b 2))
b
(+ b (* 2 a))
(+ b (* 2 a))
(+ b (* 2 a))
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(pow b 2)
(+ (* 2 (* a b)) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(+ (* a (+ a (* 2 b))) (pow b 2))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* 2 (* a b))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(* 2 a)
(* a (+ 2 (/ b a)))
(* a (+ 2 (/ b a)))
(* a (+ 2 (/ b a)))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* 2 (* a b))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(* 2 a)
(* -1 (* a (- (* -1 (/ b a)) 2)))
(* -1 (* a (- (* -1 (/ b a)) 2)))
(* -1 (* a (- (* -1 (/ b a)) 2)))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(pow a 2)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(pow a 2)
(pow a 2)
(pow a 2)
(pow a 2)
Outputs
(pow a 2)
(*.f64 a a)
(+ (* 2 (* a b)) (pow a 2))
(*.f64 (fma.f64 b #s(literal 2 binary64) a) a)
(+ (* b (+ b (* 2 a))) (pow a 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(+ (* b (+ b (* 2 a))) (pow a 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow a 2)
(*.f64 a a)
(+ (* 2 (* a b)) (pow a 2))
(*.f64 (fma.f64 b #s(literal 2 binary64) a) a)
(+ (* b (+ b (* 2 a))) (pow a 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(+ (* b (+ b (* 2 a))) (pow a 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(* 2 (* a b))
(*.f64 (*.f64 b a) #s(literal 2 binary64))
(* b (+ b (* 2 a)))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(* b (+ b (* 2 a)))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(* b (+ b (* 2 a)))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(+ b (* 2 a))
(fma.f64 #s(literal 2 binary64) a b)
(+ b (* 2 a))
(fma.f64 #s(literal 2 binary64) a b)
(+ b (* 2 a))
(fma.f64 #s(literal 2 binary64) a b)
(pow a 2)
(*.f64 a a)
(+ (* 2 (* a b)) (pow a 2))
(*.f64 (fma.f64 b #s(literal 2 binary64) a) a)
(+ (* b (+ b (* 2 a))) (pow a 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(+ (* b (+ b (* 2 a))) (pow a 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(pow a 2)
(*.f64 a a)
(+ (* 2 (* a b)) (pow a 2))
(*.f64 (fma.f64 b #s(literal 2 binary64) a) a)
(+ (* b (+ b (* 2 a))) (pow a 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(+ (* b (+ b (* 2 a))) (pow a 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
b
(* b (+ 1 (* 2 (/ a b))))
(fma.f64 #s(literal 2 binary64) a b)
(* b (+ 1 (* 2 (/ a b))))
(fma.f64 #s(literal 2 binary64) a b)
(* b (+ 1 (* 2 (/ a b))))
(fma.f64 #s(literal 2 binary64) a b)
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(* (pow b 2) (+ 1 (+ (* 2 (/ a b)) (/ (pow a 2) (pow b 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
b
(* -1 (* b (- (* -2 (/ a b)) 1)))
(fma.f64 #s(literal 2 binary64) a b)
(* -1 (* b (- (* -2 (/ a b)) 1)))
(fma.f64 #s(literal 2 binary64) a b)
(* -1 (* b (- (* -2 (/ a b)) 1)))
(fma.f64 #s(literal 2 binary64) a b)
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(pow b 2)
(*.f64 b b)
(* (pow b 2) (+ 1 (* 2 (/ a b))))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(* (pow b 2) (+ 1 (* -1 (/ (+ (* -2 a) (* -1 (/ (pow a 2) b))) b))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(pow b 2)
(*.f64 b b)
(+ (* 2 (* a b)) (pow b 2))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(+ (* a (+ a (* 2 b))) (pow b 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(+ (* a (+ a (* 2 b))) (pow b 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(pow b 2)
(*.f64 b b)
(+ (* 2 (* a b)) (pow b 2))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(+ (* a (+ a (* 2 b))) (pow b 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(+ (* a (+ a (* 2 b))) (pow b 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(pow b 2)
(*.f64 b b)
(+ (* 2 (* a b)) (pow b 2))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(+ (* 2 (* a b)) (pow b 2))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(+ (* 2 (* a b)) (pow b 2))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
b
(+ b (* 2 a))
(fma.f64 #s(literal 2 binary64) a b)
(+ b (* 2 a))
(fma.f64 #s(literal 2 binary64) a b)
(+ b (* 2 a))
(fma.f64 #s(literal 2 binary64) a b)
(pow b 2)
(*.f64 b b)
(+ (* 2 (* a b)) (pow b 2))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(+ (* a (+ a (* 2 b))) (pow b 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(+ (* a (+ a (* 2 b))) (pow b 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(pow b 2)
(*.f64 b b)
(+ (* 2 (* a b)) (pow b 2))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(+ (* a (+ a (* 2 b))) (pow b 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(+ (* a (+ a (* 2 b))) (pow b 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(*.f64 (fma.f64 b #s(literal 2 binary64) a) a)
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(*.f64 (fma.f64 b #s(literal 2 binary64) a) a)
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(* 2 (* a b))
(*.f64 (*.f64 b a) #s(literal 2 binary64))
(* a (+ (* 2 b) (/ (pow b 2) a)))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(* a (+ (* 2 b) (/ (pow b 2) a)))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(* a (+ (* 2 b) (/ (pow b 2) a)))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* a (+ 2 (/ b a)))
(fma.f64 #s(literal 2 binary64) a b)
(* a (+ 2 (/ b a)))
(fma.f64 #s(literal 2 binary64) a b)
(* a (+ 2 (/ b a)))
(fma.f64 #s(literal 2 binary64) a b)
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(*.f64 (fma.f64 b #s(literal 2 binary64) a) a)
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(*.f64 (fma.f64 b #s(literal 2 binary64) a) a)
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(* (pow a 2) (+ 1 (+ (* 2 (/ b a)) (/ (pow b 2) (pow a 2)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(*.f64 (fma.f64 b #s(literal 2 binary64) a) a)
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(*.f64 (fma.f64 b #s(literal 2 binary64) a) a)
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(* 2 (* a b))
(*.f64 (*.f64 b a) #s(literal 2 binary64))
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(* -1 (* a (+ (* -2 b) (* -1 (/ (pow b 2) a)))))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(* 2 a)
(*.f64 #s(literal 2 binary64) a)
(* -1 (* a (- (* -1 (/ b a)) 2)))
(fma.f64 #s(literal 2 binary64) a b)
(* -1 (* a (- (* -1 (/ b a)) 2)))
(fma.f64 #s(literal 2 binary64) a b)
(* -1 (* a (- (* -1 (/ b a)) 2)))
(fma.f64 #s(literal 2 binary64) a b)
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(*.f64 (fma.f64 b #s(literal 2 binary64) a) a)
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(pow a 2)
(*.f64 a a)
(* (pow a 2) (+ 1 (* 2 (/ b a))))
(*.f64 (fma.f64 b #s(literal 2 binary64) a) a)
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(* (pow a 2) (+ 1 (* -1 (/ (+ (* -2 b) (* -1 (/ (pow b 2) a))) a))))
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)
(pow a 2)
(*.f64 a a)

rewrite186.0ms (5.3%)

Memory
8.0MiB live, 285.1MiB allocated
Rules
7 024×lower-fma.f32
7 020×lower-fma.f64
4 984×lower-*.f32
4 978×lower-*.f64
2 884×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01367
01961
16661
252061
3649061
0834061
Stop Event
iter limit
node limit
iter limit
Counts
8 → 227
Calls
Call 1
Inputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
(*.f64 b b)
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(fma.f64 #s(literal 2 binary64) a b)
(fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a))
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
(*.f64 a a)
Outputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)))
(*.f64 b b)
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64))
(pow.f64 (*.f64 b b) #s(literal 1 binary64))
(pow.f64 b #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 b))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 (neg.f64 b) b)) b) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 #s(literal 4 binary64) (*.f64 a a) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 (neg.f64 b) b)) b) (fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 (neg.f64 b) b))) (fma.f64 #s(literal 2 binary64) a b))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 3 binary64)) b (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (*.f64 (-.f64 b (*.f64 #s(literal 2 binary64) a)) b) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 a a)) (*.f64 (-.f64 b (*.f64 #s(literal 2 binary64) a)) b)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 3 binary64)) b (pow.f64 b #s(literal 4 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 b (*.f64 #s(literal 2 binary64) a)) b) #s(literal 3 binary64)))) (fma.f64 #s(literal 16 binary64) (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 b (*.f64 #s(literal 2 binary64) a)) b) (-.f64 (*.f64 (-.f64 b (*.f64 #s(literal 2 binary64) a)) b) (*.f64 #s(literal 4 binary64) (*.f64 a a))))))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 (neg.f64 b) b)) b) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) a) b) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 3 binary64)) b (pow.f64 b #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 (-.f64 b (*.f64 #s(literal 2 binary64) a)) b)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 (neg.f64 b) b)) (/.f64 b (-.f64 (*.f64 #s(literal 2 binary64) a) b)))
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 (neg.f64 b) b)) (*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) a) b) #s(literal -1 binary64)) b))
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (/.f64 b (fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 (-.f64 b (*.f64 #s(literal 2 binary64) a)) b))))
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 (-.f64 b (*.f64 #s(literal 2 binary64) a)) b)) #s(literal -1 binary64)) b))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) b)
(*.f64 b (fma.f64 #s(literal 2 binary64) a b))
(pow.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) a) b) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 (neg.f64 b) b)) b)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 (-.f64 b (*.f64 #s(literal 2 binary64) a)) b)) (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 3 binary64)) b (pow.f64 b #s(literal 4 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 a a))) b) (-.f64 b (*.f64 #s(literal 2 binary64) a)))
(/.f64 (*.f64 #s(literal 1 binary64) b) (pow.f64 (fma.f64 #s(literal 2 binary64) a b) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 (neg.f64 b) b))) b) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) a) b)))
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) b) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 (-.f64 b (*.f64 #s(literal 2 binary64) a)) b))))
(/.f64 (*.f64 b (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 a a)))) (-.f64 b (*.f64 #s(literal 2 binary64) a)))
(/.f64 (*.f64 b #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) a b) #s(literal -1 binary64)))
(/.f64 (*.f64 b (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 (neg.f64 b) b)))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) a) b)))
(/.f64 (*.f64 b (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 (-.f64 b (*.f64 #s(literal 2 binary64) a)) b))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) (*.f64 b b)))
(/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (*.f64 b a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) a)))))
(/.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 (*.f64 b a) #s(literal 3 binary64)))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 b a) #s(literal 2 binary64))) (*.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) a)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 (neg.f64 b) b)) b)) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) a) b)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 3 binary64)) b (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 (-.f64 b (*.f64 #s(literal 2 binary64) a)) b))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 (neg.f64 b) b)) b) (-.f64 (*.f64 #s(literal 2 binary64) a) b))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 3 binary64)) b (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 (-.f64 b (*.f64 #s(literal 2 binary64) a)) b)))
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 (*.f64 b a) #s(literal 2 binary64)))) (*.f64 (-.f64 b (*.f64 #s(literal 2 binary64) a)) b))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) a) b) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 (neg.f64 b) b)) b)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 (-.f64 b (*.f64 #s(literal 2 binary64) a)) b)) (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 3 binary64)) b (pow.f64 b #s(literal 4 binary64)))))
(/.f64 b (pow.f64 (fma.f64 #s(literal 2 binary64) a b) #s(literal -1 binary64)))
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (*.f64 #s(literal 2 binary64) a) b))
(fma.f64 (*.f64 #s(literal 2 binary64) b) a (*.f64 b b))
(fma.f64 (*.f64 b a) #s(literal 2 binary64) (*.f64 b b))
(fma.f64 (*.f64 #s(literal 2 binary64) a) b (*.f64 b b))
(fma.f64 #s(literal 2 binary64) (*.f64 b a) (*.f64 b b))
(fma.f64 b (*.f64 #s(literal 2 binary64) a) (*.f64 b b))
(fma.f64 b b (*.f64 (*.f64 #s(literal 2 binary64) a) b))
(fma.f64 a (*.f64 #s(literal 2 binary64) b) (*.f64 b b))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) (*.f64 b b))
(+.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 2 binary64) a) b))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 (neg.f64 b) b)) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fma.f64 #s(literal 4 binary64) (*.f64 a a) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)))
(*.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 (*.f64 (-.f64 b (*.f64 #s(literal 2 binary64) a)) b) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 a a)) (*.f64 (-.f64 b (*.f64 #s(literal 2 binary64) a)) b)))
(*.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 b (*.f64 #s(literal 2 binary64) a)) b) #s(literal 3 binary64)))) (fma.f64 #s(literal 16 binary64) (pow.f64 a #s(literal 4 binary64)) (*.f64 (*.f64 (-.f64 b (*.f64 #s(literal 2 binary64) a)) b) (-.f64 (*.f64 (-.f64 b (*.f64 #s(literal 2 binary64) a)) b) (*.f64 #s(literal 4 binary64) (*.f64 a a))))))
(*.f64 (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 (neg.f64 b) b)) (fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 (neg.f64 b) b))) (fma.f64 #s(literal 2 binary64) a b))
(*.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 a a))) (pow.f64 (-.f64 b (*.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) a) b) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 (neg.f64 b) b)))
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 (-.f64 b (*.f64 #s(literal 2 binary64) a)) b)) #s(literal -1 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) a b))
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 (neg.f64 b) b))) (pow.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) a) b)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 (-.f64 b (*.f64 #s(literal 2 binary64) a)) b))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 (neg.f64 b) b)) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) a) b) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 (-.f64 b (*.f64 #s(literal 2 binary64) a)) b)) (/.f64 (fma.f64 #s(literal 2 binary64) a b) (fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 (-.f64 b (*.f64 #s(literal 2 binary64) a)) b))))
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 (-.f64 b (*.f64 #s(literal 2 binary64) a)) b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 (-.f64 b (*.f64 #s(literal 2 binary64) a)) b)) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 (-.f64 b (*.f64 #s(literal 2 binary64) a)) b)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) a) b) (-.f64 (*.f64 #s(literal 2 binary64) a) b)))
(*.f64 (fma.f64 #s(literal 2 binary64) a b) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) a) b) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) a) b) #s(literal -1 binary64))))
(pow.f64 (/.f64 (-.f64 b (*.f64 #s(literal 2 binary64) a)) (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 a a)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) a b) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) a b) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 16 binary64) (pow.f64 a #s(literal 4 binary64))) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) a) b) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 a a) (*.f64 b b)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 64 binary64) (pow.f64 a #s(literal 6 binary64))) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal 2 binary64) a) b) #s(literal -1 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 a #s(literal 4 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 b a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 64 binary64) (pow.f64 a #s(literal 6 binary64))) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 (-.f64 b (*.f64 #s(literal 2 binary64) a)) b)) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 a #s(literal 9 binary64)) (pow.f64 b #s(literal 9 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 (-.f64 b (*.f64 #s(literal 2 binary64) a)) b)) #s(literal -1 binary64))) (-.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 a #s(literal 6 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 8 binary64) (pow.f64 (*.f64 b a) #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) (/.f64 a (-.f64 (*.f64 #s(literal 2 binary64) a) b))) (*.f64 (*.f64 #s(literal 4 binary64) a) (/.f64 a (-.f64 (*.f64 #s(literal 2 binary64) a) b)))) (*.f64 (*.f64 b (/.f64 b (-.f64 (*.f64 #s(literal 2 binary64) a) b))) (*.f64 b (/.f64 b (-.f64 (*.f64 #s(literal 2 binary64) a) b))))) (fma.f64 (*.f64 #s(literal 4 binary64) a) (/.f64 a (-.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 b (/.f64 b (-.f64 (*.f64 #s(literal 2 binary64) a) b)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) (/.f64 a (-.f64 (*.f64 #s(literal 2 binary64) a) b))) #s(literal 3 binary64)) (pow.f64 (*.f64 b (/.f64 b (-.f64 (*.f64 #s(literal 2 binary64) a) b))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) (/.f64 a (-.f64 (*.f64 #s(literal 2 binary64) a) b))) (*.f64 (*.f64 #s(literal 4 binary64) a) (/.f64 a (-.f64 (*.f64 #s(literal 2 binary64) a) b))) (fma.f64 (*.f64 b (/.f64 b (-.f64 (*.f64 #s(literal 2 binary64) a) b))) (*.f64 b (/.f64 b (-.f64 (*.f64 #s(literal 2 binary64) a) b))) (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) (/.f64 a (-.f64 (*.f64 #s(literal 2 binary64) a) b))) (*.f64 b (/.f64 b (-.f64 (*.f64 #s(literal 2 binary64) a) b)))))))
(/.f64 (neg.f64 (fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 a a)))) (neg.f64 (-.f64 b (*.f64 #s(literal 2 binary64) a))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 (neg.f64 b) b)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) a) b))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 (-.f64 b (*.f64 #s(literal 2 binary64) a)) b)))))
(/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 (neg.f64 b) b)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) a) b))
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) a) a (*.f64 (-.f64 b (*.f64 #s(literal 2 binary64) a)) b)))
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(fma.f64 #s(literal 2 binary64) (*.f64 b a) (fma.f64 b b (*.f64 a a)))
(fma.f64 (*.f64 b b) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) a b) #s(literal 2 binary64)) (fma.f64 (neg.f64 a) a (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))) (neg.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (neg.f64 a) a (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)))))
(fma.f64 b (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) a b) #s(literal 2 binary64)) b) (fma.f64 (neg.f64 a) a (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))) (neg.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (neg.f64 a) a (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)))))
(fma.f64 b (*.f64 #s(literal 2 binary64) a) (fma.f64 b b (*.f64 a a)))
(fma.f64 b (fma.f64 #s(literal 2 binary64) a b) (*.f64 a a))
(fma.f64 b b (fma.f64 (*.f64 #s(literal 2 binary64) b) a (*.f64 a a)))
(fma.f64 a (*.f64 #s(literal 2 binary64) b) (fma.f64 b b (*.f64 a a)))
(fma.f64 a a (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
(-.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 (*.f64 a a) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))) (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) #s(literal 2 binary64)) (-.f64 (*.f64 a a) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) #s(literal 2 binary64)) (fma.f64 (neg.f64 a) a (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))) (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (neg.f64 a) a (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (fma.f64 a a (*.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 b b))
(+.f64 (fma.f64 b b (*.f64 a a)) (*.f64 (*.f64 #s(literal 2 binary64) a) b))
(+.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) #s(literal 2 binary64)) (fma.f64 (neg.f64 a) a (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))) (neg.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (fma.f64 (neg.f64 a) a (*.f64 (fma.f64 #s(literal 2 binary64) a b) b)))))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) b) (fma.f64 b b (*.f64 a a)))
(+.f64 (*.f64 a a) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
(+.f64 (*.f64 (fma.f64 #s(literal 2 binary64) a b) b) (*.f64 a a))
(+.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 2 binary64) b) a (*.f64 a a)))
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
(*.f64 (exp.f64 (log.f64 a)) (exp.f64 (log.f64 a)))
(*.f64 a a)
(pow.f64 (exp.f64 (log.f64 a)) #s(literal 2 binary64))
(pow.f64 (*.f64 a a) #s(literal 1 binary64))
(pow.f64 a #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 a))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 a) #s(literal 2 binary64)))

eval150.0ms (4.3%)

Memory
2.5MiB live, 121.5MiB allocated
Compiler

Compiled 9 636 to 1 007 computations (89.5% saved)

prune14.0ms (0.4%)

Memory
1.5MiB live, 36.7MiB allocated
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New4840484
Fresh000
Picked033
Done011
Total4844488
Accuracy
100.0%
Counts
488 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 a b) (+.f64 a b))
100.0%
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
99.7%
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
98.7%
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
Compiler

Compiled 56 to 34 computations (39.3% saved)

regimes23.0ms (0.7%)

Memory
-23.3MiB live, 14.7MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
(*.f64 (+.f64 a b) (+.f64 a b))
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
Outputs
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
Calls

4 calls:

16.0ms
b
2.0ms
(*.f64 (+.f64 a b) (+.f64 a b))
2.0ms
(+.f64 a b)
2.0ms
a
Results
AccuracySegmentsBranch
100.0%1a
100.0%1b
100.0%1(*.f64 (+.f64 a b) (+.f64 a b))
100.0%1(+.f64 a b)
Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes8.0ms (0.2%)

Memory
12.8MiB live, 12.8MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
(*.f64 (+.f64 a b) (+.f64 a b))
Outputs
(*.f64 (+.f64 a b) (+.f64 a b))
Calls

4 calls:

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

Compiled 12 to 11 computations (8.3% saved)

regimes6.0ms (0.2%)

Memory
11.2MiB live, 11.2MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
Outputs
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
Calls

4 calls:

2.0ms
(+.f64 a b)
2.0ms
(*.f64 (+.f64 a b) (+.f64 a b))
1.0ms
b
1.0ms
a
Results
AccuracySegmentsBranch
99.7%1a
99.7%1b
99.7%1(*.f64 (+.f64 a b) (+.f64 a b))
99.7%1(+.f64 a b)
Compiler

Compiled 12 to 11 computations (8.3% saved)

regimes5.0ms (0.1%)

Memory
10.0MiB live, 10.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
(+.f64 a b)
1.0ms
a
1.0ms
b
1.0ms
(*.f64 (+.f64 a b) (+.f64 a b))
Results
AccuracySegmentsBranch
98.7%1a
98.7%1b
98.7%1(*.f64 (+.f64 a b) (+.f64 a b))
98.7%1(+.f64 a b)
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify50.0ms (1.4%)

Memory
-37.4MiB live, 46.1MiB allocated
Algorithm
egg-herbie
Rules
*-commutative-binary64-*.f64
+-commutative-binary64-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01549
11749
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
(*.f64 (+.f64 a b) (+.f64 a b))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))
Outputs
#s(approx (* (+ a b) (+ a b)) (fma.f64 (fma.f64 #s(literal 2 binary64) a b) b (*.f64 a a)))
(*.f64 (+.f64 a b) (+.f64 a b))
(*.f64 (+.f64 b a) (+.f64 b a))
#s(approx (* (+ a b) (+ a b)) (*.f64 (fma.f64 #s(literal 2 binary64) a b) b))
#s(approx (* (+ a b) (+ a b)) (*.f64 b b))

soundness535.0ms (15.2%)

Memory
1.8MiB live, 158.5MiB allocated
Rules
7 026×lower-fma.f64
7 026×lower-fma.f32
2 898×lower-*.f64
2 898×lower-*.f32
1 650×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065270
1193264
2488264
31576252
43881252
56929252
08083222
Stop Event
done
iter limit
node limit
Compiler

Compiled 37 to 21 computations (43.2% saved)

preprocess57.0ms (1.6%)

Memory
21.1MiB live, 97.4MiB allocated
Compiler

Compiled 140 to 78 computations (44.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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