Numeric.Log:$clog1p from log-domain-0.10.2.1, A

Time bar (total: 9.6s)

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 13 to 10 computations (23.1% saved)

sample638.0ms (6.6%)

Memory
22.6MiB live, 1 500.9MiB allocated
Samples
444.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 251.0ms
ival-mult: 160.0ms (63.8% of total)
ival-add: 79.0ms (31.5% of total)
ival-true: 5.0ms (2% of total)
exact: 5.0ms (2% of total)
ival-assert: 3.0ms (1.2% of total)
Bogosity

preprocess35.0ms (0.4%)

Memory
-8.7MiB live, 29.0MiB allocated
Algorithm
2×egg-herbie
Rules
266×sub-neg
198×unsub-neg
146×cancel-sign-sub-inv
144×associate-+l-
136×associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02160
16858
221555
358054
4113354
5139054
6143954
089
1159
2259
3279
0278
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(+ (+ (* x 2) (* x x)) (* y y))
Outputs
(+ (+ (* x 2) (* x x)) (* y y))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 y y))
Call 2
Inputs
(+ (+ (* x 2) (* x x)) (* y y))
(+ (+ (* (neg x) 2) (* (neg x) (neg x))) (* y y))
(+ (+ (* x 2) (* x x)) (* (neg y) (neg y)))
(neg (+ (+ (* (neg x) 2) (* (neg x) (neg x))) (* y y)))
(neg (+ (+ (* x 2) (* x x)) (* (neg y) (neg y))))
(+ (+ (* y 2) (* y y)) (* x x))
Outputs
(+ (+ (* x 2) (* x x)) (* y y))
(+ (* x (+ x 2)) (* y y))
(+ (+ (* (neg x) 2) (* (neg x) (neg x))) (* y y))
(+ (* y y) (* x (+ x -2)))
(+ (+ (* x 2) (* x x)) (* (neg y) (neg y)))
(+ (* x (+ x 2)) (* y y))
(neg (+ (+ (* (neg x) 2) (* (neg x) (neg x))) (* y y)))
(- (* x (- 2 x)) (* y y))
(neg (+ (+ (* x 2) (* x x)) (* (neg y) (neg y))))
(- (* x (- -2 x)) (* y y))
(+ (+ (* y 2) (* y y)) (* x x))
(- (* x x) (* y (- -2 y)))
Symmetry

(abs y)

explain104.0ms (1.1%)

Memory
5.0MiB live, 164.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
00-0-(*.f64 x #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-y
00-0-(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
00-0-(*.f64 y y)
00-0-(*.f64 x x)
00-0-x
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
41.0ms512×0valid
Compiler

Compiled 90 to 36 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 9.0ms (63.5% of total)
ival-add: 4.0ms (28.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify5.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 x #s(literal 2 binary64))
✓cost-diff128
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
✓cost-diff320
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
Rules
28×+-lowering-+.f64
28×+-lowering-+.f32
28×accelerator-lowering-fma.f32
28×accelerator-lowering-fma.f64
12×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0826
11526
22526
32726
02725
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (+ (* x 2) (* x x)) (* y y))
(+ (* x 2) (* x x))
(* x 2)
x
2
(* x x)
(* y y)
y
Outputs
(+ (+ (* x 2) (* x x)) (* y y))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 y y))
(+ (* x 2) (* x x))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(* x 2)
(*.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
(* x x)
(*.f64 x x)
(* y y)
(*.f64 y y)
y

localize32.0ms (0.3%)

Memory
-0.4MiB live, 37.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 y y)
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
Samples
23.0ms256×0valid
Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-add: 11.0ms (68.1% of total)
ival-mult: 5.0ms (31% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0%)

Memory
8.0MiB live, 8.0MiB allocated
Counts
5 → 72
Calls
Call 1
Inputs
#<alt (+ (* x 2) (* x x))>
#<alt (+ (+ (* x 2) (* x x)) (* y y))>
#<alt (* x 2)>
#<alt (* x x)>
#<alt (* y y)>
Outputs
#<alt (* 2 x)>
#<alt (* x (+ 2 x))>
#<alt (* x (+ 2 x))>
#<alt (* x (+ 2 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (pow y 2)>
#<alt (+ (* 2 x) (pow y 2))>
#<alt (+ (* x (+ 2 x)) (pow y 2))>
#<alt (+ (* x (+ 2 x)) (pow y 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))>
#<alt (+ (* 2 x) (pow x 2))>
#<alt (+ (* 2 x) (+ (pow x 2) (pow y 2)))>
#<alt (+ (* 2 x) (+ (pow x 2) (pow y 2)))>
#<alt (+ (* 2 x) (+ (pow x 2) (pow y 2)))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
Calls

18 calls:

TimeVariablePointExpression
0.0ms
x
@0
(+ (* x 2) (* x x))
0.0ms
x
@inf
(+ (* x 2) (* x x))
0.0ms
y
@0
(+ (+ (* x 2) (* x x)) (* y y))
0.0ms
x
@-inf
(* x 2)
0.0ms
x
@0
(* x 2)

rewrite403.0ms (4.2%)

Memory
19.5MiB live, 521.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 744×accelerator-lowering-fma.f32
6 744×accelerator-lowering-fma.f64
4 716×*-lowering-*.f32
4 716×*-lowering-*.f64
2 642×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0823
14223
240123
3613523
0808922
Stop Event
1×iter limit
1×node limit
Counts
5 → 219
Calls
Call 1
Inputs
(+ (* x 2) (* x x))
(+ (+ (* x 2) (* x x)) (* y y))
(* x 2)
(* x x)
(* y y)
Outputs
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 x #s(literal 2 binary64)))
(+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (-.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 x (-.f64 x #s(literal 2 binary64)))))
(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
(fma.f64 x #s(literal 2 binary64) (*.f64 x x))
(fma.f64 x (/.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 #s(literal 2 binary64) x (*.f64 x x))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 4 binary64) (*.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) (*.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (*.f64 x #s(literal 4 binary64)) (/.f64 x (*.f64 x (-.f64 #s(literal 2 binary64) x))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (/.f64 x x) (/.f64 (*.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) x) (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 #s(literal 4 binary64) x) (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) x) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (*.f64 x #s(literal 4 binary64)) x) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x x)))) (*.f64 x (+.f64 x #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x x) (*.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(neg.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 8 binary64))) (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 8 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 2 binary64) x)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 64 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 8 binary64)))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 64 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 x #s(literal 2 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) #s(literal 4 binary64)))))
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 8 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (+.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 16 binary64)))))
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 8 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (-.f64 x #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x (-.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x x)))) (*.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x)) (*.f64 (*.f64 x x) (+.f64 #s(literal 4 binary64) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 x (-.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 x (-.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 (-.f64 #s(literal 2 binary64) x) (*.f64 x (-.f64 #s(literal 2 binary64) x)))))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (-.f64 #s(literal 4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x (-.f64 #s(literal 2 binary64) x))))
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(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 y))) #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(*.f64 y y)
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))

simplify295.0ms (3.1%)

Memory
-60.4MiB live, 523.7MiB allocated
Algorithm
1×egg-herbie
Rules
9 938×accelerator-lowering-fma.f32
9 938×accelerator-lowering-fma.f64
3 308×*-lowering-*.f32
3 308×*-lowering-*.f64
1 722×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036334
1101334
2272334
3917334
42774334
54851334
67645334
08375318
Stop Event
1×iter limit
1×node limit
Counts
72 → 72
Calls
Call 1
Inputs
(* 2 x)
(* x (+ 2 x))
(* x (+ 2 x))
(* x (+ 2 x))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(+ (* 2 x) (pow x 2))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(pow y 2)
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(pow y 2)
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
Outputs
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(+ (* 2 x) (pow y 2))
(fma.f64 #s(literal 2 binary64) x (fma.f64 y y #s(literal 0 binary64)))
(+ (* x (+ 2 x)) (pow y 2))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (fma.f64 y y #s(literal 0 binary64)))
(+ (* x (+ 2 x)) (pow y 2))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (fma.f64 y y #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (fma.f64 y y #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (fma.f64 y y #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (fma.f64 y y #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (fma.f64 y y #s(literal 0 binary64)))
(+ (* 2 x) (pow x 2))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (fma.f64 y y #s(literal 0 binary64)))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (fma.f64 y y #s(literal 0 binary64)))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (fma.f64 y y #s(literal 0 binary64)))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (fma.f64 y y #s(literal 0 binary64)))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (fma.f64 y y #s(literal 0 binary64)))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (fma.f64 y y #s(literal 0 binary64)))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (fma.f64 y y #s(literal 0 binary64)))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (fma.f64 y y #s(literal 0 binary64)))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) (fma.f64 y y #s(literal 0 binary64)))
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))

eval31.0ms (0.3%)

Memory
27.6MiB live, 65.2MiB allocated
Compiler

Compiled 9 063 to 678 computations (92.5% saved)

prune34.0ms (0.4%)

Memory
-1.9MiB live, 78.0MiB allocated
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2847291
Fresh000
Picked101
Done000
Total2857292
Accuracy
100.0%
Counts
292 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 y y))
100.0%
(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))
▶47.0%
(fma.f64 y y #s(literal 0 binary64))
▶39.7%
(fma.f64 x x #s(literal 0 binary64))
▶100.0%
(fma.f64 x #s(literal 2 binary64) (fma.f64 x x (*.f64 y y)))
▶68.8%
(fma.f64 #s(literal 2 binary64) x (fma.f64 y y #s(literal 0 binary64)))
▶61.0%
(*.f64 x (+.f64 #s(literal 2 binary64) x))
Compiler

Compiled 118 to 74 computations (37.3% saved)

simplify6.0ms (0.1%)

Memory
11.1MiB live, 11.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 y y #s(literal 0 binary64))
✓cost-diff0
(fma.f64 #s(literal 2 binary64) x (fma.f64 y y #s(literal 0 binary64)))
✓cost-diff-64
(*.f64 x (+.f64 #s(literal 2 binary64) x))
✓cost-diff0
(+.f64 #s(literal 2 binary64) x)
✓cost-diff0
(fma.f64 y y #s(literal 0 binary64))
✓cost-diff0
(fma.f64 x x #s(literal 0 binary64))
✓cost-diff-64
(*.f64 y y)
✓cost-diff0
(fma.f64 x x (*.f64 y y))
✓cost-diff192
(fma.f64 x #s(literal 2 binary64) (fma.f64 x x (*.f64 y y)))
Rules
56×+-lowering-+.f64
56×+-lowering-+.f32
40×accelerator-lowering-fma.f32
40×accelerator-lowering-fma.f64
18×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01556
12956
24656
34956
04953
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* x 2) (+ (* x x) (* y y)))
x
2
(+ (* x x) (* y y))
(* y y)
y
(+ (* x x) 0)
x
0
(+ (* y y) 0)
y
0
(* x (+ 2 x))
x
(+ 2 x)
2
(+ (* 2 x) (+ (* y y) 0))
2
x
(+ (* y y) 0)
y
0
Outputs
(+ (* x 2) (+ (* x x) (* y y)))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))
x
2
#s(literal 2 binary64)
(+ (* x x) (* y y))
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
(* y y)
(fma.f64 y y #s(literal 0 binary64))
y
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
x
0
#s(literal 0 binary64)
(+ (* y y) 0)
(fma.f64 y y #s(literal 0 binary64))
y
0
#s(literal 0 binary64)
(* x (+ 2 x))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))
x
(+ 2 x)
(+.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)
(+ (* 2 x) (+ (* y y) 0))
(fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64)))
2
#s(literal 2 binary64)
x
(+ (* y y) 0)
(fma.f64 y y #s(literal 0 binary64))
y
0
#s(literal 0 binary64)

localize44.0ms (0.5%)

Memory
7.8MiB live, 83.5MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 y y #s(literal 0 binary64))
✓accuracy100.0%
(fma.f64 #s(literal 2 binary64) x (fma.f64 y y #s(literal 0 binary64)))
✓accuracy100.0%
(+.f64 #s(literal 2 binary64) x)
✓accuracy100.0%
(*.f64 x (+.f64 #s(literal 2 binary64) x))
✓accuracy100.0%
(fma.f64 y y #s(literal 0 binary64))
✓accuracy100.0%
(fma.f64 x x #s(literal 0 binary64))
✓accuracy100.0%
(fma.f64 x #s(literal 2 binary64) (fma.f64 x x (*.f64 y y)))
✓accuracy100.0%
(*.f64 y y)
✓accuracy100.0%
(fma.f64 x x (*.f64 y y))
Samples
26.0ms256×0valid
Compiler

Compiled 60 to 17 computations (71.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 8.0ms (53% of total)
ival-add: 6.0ms (39.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
-30.1MiB live, 7.4MiB allocated
Counts
8 → 132
Calls
Call 1
Inputs
#<alt (+ (* x 2) (+ (* x x) (* y y)))>
#<alt (+ (* x x) (* y y))>
#<alt (* y y)>
#<alt (+ (* x x) 0)>
#<alt (+ (* y y) 0)>
#<alt (+ 2 x)>
#<alt (* x (+ 2 x))>
#<alt (+ (* 2 x) (+ (* y y) 0))>
Outputs
#<alt (pow y 2)>
#<alt (+ (* 2 x) (pow y 2))>
#<alt (+ (* x (+ 2 x)) (pow y 2))>
#<alt (+ (* x (+ 2 x)) (pow y 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))>
#<alt (+ (* 2 x) (pow x 2))>
#<alt (+ (* 2 x) (+ (pow x 2) (pow y 2)))>
#<alt (+ (* 2 x) (+ (pow x 2) (pow y 2)))>
#<alt (+ (* 2 x) (+ (pow x 2) (pow y 2)))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))>
#<alt (pow y 2)>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (pow x 2)>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt 2>
#<alt (+ 2 x)>
#<alt (+ 2 x)>
#<alt (+ 2 x)>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 x))>
#<alt (* x (+ 2 x))>
#<alt (* x (+ 2 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (pow y 2)>
#<alt (+ (* 2 x) (pow y 2))>
#<alt (+ (* 2 x) (pow y 2))>
#<alt (+ (* 2 x) (pow y 2))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (/ (pow y 2) x)))>
#<alt (* x (+ 2 (/ (pow y 2) x)))>
#<alt (* x (+ 2 (/ (pow y 2) x)))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))>
#<alt (* 2 x)>
#<alt (+ (* 2 x) (pow y 2))>
#<alt (+ (* 2 x) (pow y 2))>
#<alt (+ (* 2 x) (pow y 2))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))>
Calls

33 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
(* y y)
1.0ms
x
@-inf
(* x (+ 2 x))
0.0ms
x
@inf
(* x (+ 2 x))
0.0ms
x
@0
(* x (+ 2 x))
0.0ms
x
@0
(+ (* x x) (* y y))

rewrite1.6s (16.3%)

Memory
19.6MiB live, 806.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8 934×accelerator-lowering-fma.f32
8 934×accelerator-lowering-fma.f64
4 390×/-lowering-/.f32
4 390×/-lowering-/.f64
4 124×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01540
110640
2106840
0837237
Stop Event
1×iter limit
1×node limit
Counts
8 → 1 095
Calls
Call 1
Inputs
(+ (* x 2) (+ (* x x) (* y y)))
(+ (* x x) (* y y))
(* y y)
(+ (* x x) 0)
(+ (* y y) 0)
(+ 2 x)
(* x (+ 2 x))
(+ (* 2 x) (+ (* y y) 0))
Outputs
(+.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))))
(+.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))
(+.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) (*.f64 x #s(literal 2 binary64)))
(+.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64))
(+.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(+.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))))
(+.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(+.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))))) (neg.f64 (/.f64 (*.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))) (-.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))))))
(-.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))))) (/.f64 (*.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))) (-.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))))))
(-.f64 (/.f64 (*.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))) (-.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) (*.f64 x #s(literal 2 binary64)))) (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) (-.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) (*.f64 x #s(literal 2 binary64)))))
(-.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))) (-.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)))) (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)))))
(fma.f64 x x (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))))
(fma.f64 x #s(literal 2 binary64) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 #s(literal 2 binary64) x (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))))
(fma.f64 y y (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))
(fma.f64 (+.f64 x #s(literal 2 binary64)) x (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (-.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))))
(fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))
(fma.f64 (fma.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) (*.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))) (*.f64 #s(literal 8 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) (-.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) (*.f64 x #s(literal 2 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) (*.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))) (*.f64 #s(literal 8 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) (-.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))))))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))))
(fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 8 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 x #s(literal 2 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 8 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (-.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))))))) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))))) (neg.f64 (/.f64 (*.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))) (-.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))))))
(fma.f64 (*.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) (fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64))) (-.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))))) #s(literal 0 binary64))
(fma.f64 (-.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (neg.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (neg.f64 (*.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) (fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64)))) (*.f64 x #s(literal 2 binary64)))
(fma.f64 (neg.f64 (fma.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) (*.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))) (*.f64 #s(literal 8 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) (-.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) (*.f64 x #s(literal 2 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64))))) #s(literal 0 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64)))))
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(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64))))))
(/.f64 (neg.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) (*.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64)))) #s(literal 0 binary64))) (neg.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64))))))
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(/.f64 (neg.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64))) (neg.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64)))))
(/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (-.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))))))
(/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (-.f64 (*.f64 (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64)))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 2 binary64)))))))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) (*.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64)))))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64)))) (*.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64)))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (-.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))))))
(/.f64 (-.f64 (*.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) (*.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))))) #s(literal 0 binary64)) (fma.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))) (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))) (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64)))) #s(literal -1 binary64))
(*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 8 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 x #s(literal 2 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)))))
(*.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 8 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (-.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) (*.f64 x (*.f64 #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))))))))
(*.f64 (-.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))))
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(*.f64 (neg.f64 (-.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64))))))
(*.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) (*.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64)))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (-.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 x #s(literal 2 binary64)))))
(*.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64)))))

simplify1.4s (14.8%)

Memory
29.5MiB live, 664.6MiB allocated
Algorithm
1×egg-herbie
Rules
14 654×accelerator-lowering-fma.f32
14 654×accelerator-lowering-fma.f64
3 128×*-lowering-*.f32
3 128×*-lowering-*.f64
2 440×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047700
1148700
2387652
31319652
44019652
08036600
Stop Event
1×iter limit
1×node limit
Counts
132 → 132
Calls
Call 1
Inputs
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(+ (* 2 x) (pow x 2))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(pow y 2)
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(pow y 2)
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(pow y 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(pow x 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
2
(+ 2 x)
(+ 2 x)
(+ 2 x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* 2 x)
(* x (+ 2 x))
(* x (+ 2 x))
(* x (+ 2 x))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* 2 x) (pow y 2))
(+ (* 2 x) (pow y 2))
(* 2 x)
(* x (+ 2 (/ (pow y 2) x)))
(* x (+ 2 (/ (pow y 2) x)))
(* x (+ 2 (/ (pow y 2) x)))
(* 2 x)
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(* 2 x)
(+ (* 2 x) (pow y 2))
(+ (* 2 x) (pow y 2))
(+ (* 2 x) (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
Outputs
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(+ (* 2 x) (pow y 2))
(fma.f64 y y (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))
(+ (* x (+ 2 x)) (pow y 2))
(fma.f64 y y (*.f64 x (+.f64 #s(literal 2 binary64) x)))
(+ (* x (+ 2 x)) (pow y 2))
(fma.f64 y y (*.f64 x (+.f64 #s(literal 2 binary64) x)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(fma.f64 y y (*.f64 x (+.f64 #s(literal 2 binary64) x)))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(fma.f64 y y (*.f64 x (+.f64 #s(literal 2 binary64) x)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(fma.f64 y y (*.f64 x (+.f64 #s(literal 2 binary64) x)))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(fma.f64 y y (*.f64 x (+.f64 #s(literal 2 binary64) x)))
(+ (* 2 x) (pow x 2))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(fma.f64 y y (*.f64 x (+.f64 #s(literal 2 binary64) x)))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(fma.f64 y y (*.f64 x (+.f64 #s(literal 2 binary64) x)))
(+ (* 2 x) (+ (pow x 2) (pow y 2)))
(fma.f64 y y (*.f64 x (+.f64 #s(literal 2 binary64) x)))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(fma.f64 y y (*.f64 x (+.f64 #s(literal 2 binary64) x)))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(fma.f64 y y (*.f64 x (+.f64 #s(literal 2 binary64) x)))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(fma.f64 y y (*.f64 x (+.f64 #s(literal 2 binary64) x)))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(fma.f64 y y (*.f64 x (+.f64 #s(literal 2 binary64) x)))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(fma.f64 y y (*.f64 x (+.f64 #s(literal 2 binary64) x)))
(* (pow y 2) (+ 1 (+ (* 2 (/ x (pow y 2))) (/ (pow x 2) (pow y 2)))))
(fma.f64 y y (*.f64 x (+.f64 #s(literal 2 binary64) x)))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
(+ 2 x)
(+.f64 #s(literal 2 binary64) x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal 2 binary64) x)
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(+ (* 2 x) (pow y 2))
(fma.f64 y y (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))
(+ (* 2 x) (pow y 2))
(fma.f64 y y (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))
(+ (* 2 x) (pow y 2))
(fma.f64 y y (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* x (+ 2 (/ (pow y 2) x)))
(fma.f64 y y (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))
(* x (+ 2 (/ (pow y 2) x)))
(fma.f64 y y (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))
(* x (+ 2 (/ (pow y 2) x)))
(fma.f64 y y (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(fma.f64 y y (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(fma.f64 y y (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(fma.f64 y y (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))
(* 2 x)
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(+ (* 2 x) (pow y 2))
(fma.f64 y y (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))
(+ (* 2 x) (pow y 2))
(fma.f64 y y (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))
(+ (* 2 x) (pow y 2))
(fma.f64 y y (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(fma.f64 y y (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(fma.f64 y y (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(fma.f64 y y (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(fma.f64 y y (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(fma.f64 y y (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(fma.f64 y y (fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64)))

eval197.0ms (2%)

Memory
9.7MiB live, 323.8MiB allocated
Compiler

Compiled 45 248 to 2 699 computations (94% saved)

prune211.0ms (2.2%)

Memory
-33.3MiB live, 353.1MiB allocated
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1 34341 347
Fresh022
Picked325
Done000
Total1 34681 354
Accuracy
100.0%
Counts
1 354 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 y y))
▶100.0%
(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))
▶68.8%
(fma.f64 y y (*.f64 x #s(literal 2 binary64)))
✓100.0%
(fma.f64 x #s(literal 2 binary64) (fma.f64 x x (*.f64 y y)))
▶47.0%
(*.f64 y y)
✓61.0%
(*.f64 x (+.f64 #s(literal 2 binary64) x))
▶39.7%
(*.f64 x x)
▶24.8%
(*.f64 x #s(literal 2 binary64))
Compiler

Compiled 104 to 65 computations (37.5% saved)

simplify6.0ms (0.1%)

Memory
-28.0MiB live, 10.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x #s(literal 2 binary64))
✓cost-diff0
(fma.f64 y y (*.f64 x #s(literal 2 binary64)))
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(*.f64 x #s(literal 2 binary64))
✓cost-diff0
(+.f64 x #s(literal 2 binary64))
✓cost-diff0
(*.f64 x (+.f64 x #s(literal 2 binary64)))
✓cost-diff0
(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))
Rules
28×+-lowering-+.f64
28×+-lowering-+.f32
28×accelerator-lowering-fma.f32
28×accelerator-lowering-fma.f64
12×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01046
11746
22146
32546
02544
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* y y) (* x (+ x 2)))
y
(* x (+ x 2))
x
(+ x 2)
2
(* x 2)
x
2
(* x x)
x
(* y y)
y
(+ (* y y) (* x 2))
y
(* x 2)
x
2
Outputs
(+ (* y y) (* x (+ x 2)))
(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))
y
(* x (+ x 2))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
x
(+ x 2)
(+.f64 x #s(literal 2 binary64))
2
#s(literal 2 binary64)
(* x 2)
(*.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
(* x x)
(*.f64 x x)
x
(* y y)
(*.f64 y y)
y
(+ (* y y) (* x 2))
(fma.f64 y y (*.f64 x #s(literal 2 binary64)))
y
(* x 2)
(*.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)

localize33.0ms (0.3%)

Memory
36.8MiB live, 75.4MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 y y (*.f64 x #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 y y)
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(+.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 x (+.f64 x #s(literal 2 binary64)))
✓accuracy100.0%
(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))
Samples
20.0ms256×0valid
Compiler

Compiled 46 to 12 computations (73.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (60% of total)
ival-add: 3.0ms (30% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series53.0ms (0.6%)

Memory
-34.9MiB live, 3.5MiB allocated
Counts
7 → 108
Calls
Call 1
Inputs
#<alt (+ (* y y) (* x (+ x 2)))>
#<alt (* x (+ x 2))>
#<alt (+ x 2)>
#<alt (* x 2)>
#<alt (* x x)>
#<alt (* y y)>
#<alt (+ (* y y) (* x 2))>
Outputs
#<alt (* x (+ 2 x))>
#<alt (+ (* x (+ 2 x)) (pow y 2))>
#<alt (+ (* x (+ 2 x)) (pow y 2))>
#<alt (+ (* x (+ 2 x)) (pow y 2))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))>
#<alt (pow y 2)>
#<alt (+ (* 2 x) (pow y 2))>
#<alt (+ (* x (+ 2 x)) (pow y 2))>
#<alt (+ (* x (+ 2 x)) (pow y 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))>
#<alt (* 2 x)>
#<alt (* x (+ 2 x))>
#<alt (* x (+ 2 x))>
#<alt (* x (+ 2 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt 2>
#<alt (+ 2 x)>
#<alt (+ 2 x)>
#<alt (+ 2 x)>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (* 2 x)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (* 2 x)>
#<alt (+ (* 2 x) (pow y 2))>
#<alt (+ (* 2 x) (pow y 2))>
#<alt (+ (* 2 x) (pow y 2))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))>
#<alt (* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))>
#<alt (pow y 2)>
#<alt (+ (* 2 x) (pow y 2))>
#<alt (+ (* 2 x) (pow y 2))>
#<alt (+ (* 2 x) (pow y 2))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (/ (pow y 2) x)))>
#<alt (* x (+ 2 (/ (pow y 2) x)))>
#<alt (* x (+ 2 (/ (pow y 2) x)))>
#<alt (* 2 x)>
#<alt (* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))>
#<alt (* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))>
Calls

27 calls:

TimeVariablePointExpression
0.0ms
y
@0
(+ (* y y) (* x (+ x 2)))
0.0ms
y
@inf
(+ (* y y) (* x (+ x 2)))
0.0ms
y
@-inf
(+ (* y y) (* x 2))
0.0ms
x
@-inf
(+ (* y y) (* x (+ x 2)))
0.0ms
x
@inf
(+ (* y y) (* x (+ x 2)))

rewrite487.0ms (5.1%)

Memory
26.4MiB live, 618.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 468×accelerator-lowering-fma.f32
6 468×accelerator-lowering-fma.f64
4 600×*-lowering-*.f32
4 600×*-lowering-*.f64
2 358×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01033
15433
244533
3551933
0835331
Stop Event
1×iter limit
1×node limit
Counts
7 → 305
Calls
Call 1
Inputs
(+ (* y y) (* x (+ x 2)))
(* x (+ x 2))
(+ x 2)
(* x 2)
(* x x)
(* y y)
(+ (* y y) (* x 2))
Outputs
(+.f64 (*.f64 y y) (*.f64 x (+.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 y y))
(+.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 y y (*.f64 x x)))
(+.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))
(+.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) (*.f64 x x))
(+.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))))) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x #s(literal 2 binary64)))))))
(+.f64 (fma.f64 y y (*.f64 x x)) (*.f64 x #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 y y)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x #s(literal 2 binary64))))) (/.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))))) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x #s(literal 2 binary64))))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))))) (-.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (-.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 y y))))
(-.f64 (fma.f64 x x (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 x #s(literal -2 binary64) (*.f64 y y)))) (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal -2 binary64) (*.f64 y y))))
(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))
(fma.f64 y (/.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))))) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x #s(literal 2 binary64)))))))
(fma.f64 (*.f64 y y) (/.f64 (*.f64 y y) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))))) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x #s(literal 2 binary64)))))))
(fma.f64 x x (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))
(fma.f64 x #s(literal 2 binary64) (fma.f64 y y (*.f64 x x)))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 y y))
(fma.f64 #s(literal 2 binary64) x (fma.f64 y y (*.f64 x x)))
(fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 y y))
(fma.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) (*.f64 (fma.f64 x #s(literal -2 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) (*.f64 y y)))) (*.f64 x x))
(fma.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) (/.f64 (fma.f64 x #s(literal -2 binary64) (*.f64 y y)) (fma.f64 x #s(literal -2 binary64) (*.f64 y y))) (*.f64 x x))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 8 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64))) x) (*.f64 y y))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 8 binary64)) (/.f64 x (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 y y))
(fma.f64 (fma.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -2 binary64) (*.f64 y y)) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 x x))
(fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))))) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x #s(literal 2 binary64)))))))
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -2 binary64) (*.f64 y y)) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (*.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -2 binary64) (*.f64 y y)) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (*.f64 x x))
(fma.f64 (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -2 binary64) (*.f64 y y)) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (/.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -2 binary64) (*.f64 y y)) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (*.f64 x x))
(fma.f64 (fma.f64 x x #s(literal -4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64))) x) (*.f64 y y))
(fma.f64 (fma.f64 x x #s(literal -4 binary64)) (/.f64 x (+.f64 x #s(literal -2 binary64))) (*.f64 y y))
(fma.f64 (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) (*.f64 y y))) (*.f64 x x))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -2 binary64) (*.f64 y y)) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (*.f64 x x))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x x) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -2 binary64) (*.f64 y y)))) (*.f64 x x))
(fma.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)))))) (*.f64 y y))
(fma.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) (*.f64 x x))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -2 binary64) (*.f64 y y)) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (fma.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (*.f64 x x))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) (*.f64 y y))) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (*.f64 x x))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -2 binary64)))) (*.f64 y y))
(fma.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y y))) (*.f64 x x))
(fma.f64 (*.f64 y (*.f64 y y)) (/.f64 y (-.f64 (*.f64 y y) (*.f64 x (+.f64 x #s(literal 2 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))))) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x #s(literal 2 binary64)))))))
(fma.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 y y))
(fma.f64 (*.f64 x (fma.f64 x x #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64))) (*.f64 y y))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (*.f64 x (+.f64 x #s(literal 2 binary64))))
(fma.f64 (/.f64 (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x x) #s(literal -4 binary64)))) (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) (*.f64 x x))
(fma.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x #s(literal 2 binary64)))))) (fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 y y)) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))))) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x #s(literal 2 binary64)))))))
(fma.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (-.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))))))) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))))) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x #s(literal 2 binary64)))))))
(fma.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal 8 binary64))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)))))) (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 y y))
(fma.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal 8 binary64))) (*.f64 (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)) (+.f64 (fma.f64 x x #s(literal -4 binary64)) (*.f64 x #s(literal 2 binary64))))) (+.f64 (fma.f64 x x #s(literal -4 binary64)) (*.f64 x #s(literal 2 binary64))) (*.f64 y y))
(fma.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -4 binary64))) (fma.f64 x x #s(literal -4 binary64))) (+.f64 x #s(literal 2 binary64)) (*.f64 y y))
(fma.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -4 binary64))) (fma.f64 x (*.f64 x x) #s(literal -8 binary64))) (fma.f64 x x (fma.f64 x #s(literal 2 binary64) #s(literal 4 binary64))) (*.f64 y y))
(fma.f64 (/.f64 (fma.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y y))) (-.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y y))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))) (fma.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 y y) #s(literal 2 binary64)))) (-.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 y y) #s(literal 2 binary64)))) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 x x))
(fma.f64 (/.f64 (fma.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -2 binary64) (*.f64 y y)) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x #s(literal -2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y y)))))) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x #s(literal -2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y y)))) (*.f64 x x))
(fma.f64 (/.f64 (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (fma.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 x (fma.f64 x #s(literal 4 binary64) (*.f64 (*.f64 y y) #s(literal 2 binary64))))) (*.f64 x x))
(neg.f64 (/.f64 (fma.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))))))) (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 (+.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 y y))))))))
(neg.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x #s(literal 2 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x #s(literal 2 binary64)))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))))))) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 (+.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 y y)))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x #s(literal 2 binary64)))))) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x #s(literal 2 binary64))))))
(/.f64 (fma.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))))))) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 (+.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 y y))))))
(/.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x #s(literal 2 binary64))))) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))))))) (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 (+.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 y y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x #s(literal 2 binary64)))))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 x (+.f64 x #s(literal 2 binary64))))))
(/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))) (*.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))))) (*.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64))))))) (*.f64 (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 (+.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 y y))))) (fma.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))))) (-.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 y y))))
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(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 x #s(literal -2 binary64) (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 x #s(literal -2 binary64) (*.f64 y y)))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 x #s(literal -2 binary64) (*.f64 y y)))) (*.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal -2 binary64) (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal -2 binary64) (*.f64 y y)))) (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal -2 binary64) (*.f64 y y))))) (fma.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 x #s(literal -2 binary64) (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 x #s(literal -2 binary64) (*.f64 y y))) (fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal -2 binary64) (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal -2 binary64) (*.f64 y y))) (*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 x #s(literal -2 binary64) (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal -2 binary64) (*.f64 y y)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 x #s(literal -2 binary64) (*.f64 y y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 x #s(literal -2 binary64) (*.f64 y y)))) (*.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal -2 binary64) (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal -2 binary64) (*.f64 y y))))) (fma.f64 (*.f64 y y) (/.f64 (*.f64 y y) (fma.f64 x #s(literal -2 binary64) (*.f64 y y))) (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal -2 binary64) (*.f64 y y)))))
(/.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -2 binary64) (*.f64 y y)) (*.f64 x (*.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -2 binary64) (*.f64 y y)) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))))
(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (fma.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -2 binary64) (*.f64 y y)) (*.f64 x (*.f64 x #s(literal 4 binary64)))))) (fma.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (fma.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) (*.f64 y y)))) (fma.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y))))))
(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x x) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) (*.f64 y y)))) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x #s(literal 4 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 y y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 y y))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal -1 binary64))
(*.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) (*.f64 (fma.f64 x #s(literal -2 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) (*.f64 y y)))))
(*.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) (/.f64 (fma.f64 x #s(literal -2 binary64) (*.f64 y y)) (fma.f64 x #s(literal -2 binary64) (*.f64 y y))))
(*.f64 (fma.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -2 binary64) (*.f64 y y)) (*.f64 x (*.f64 x #s(literal 4 binary64))))))
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -2 binary64) (*.f64 y y)) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (*.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -2 binary64) (*.f64 y y)) (*.f64 x (*.f64 x #s(literal 4 binary64)))))))
(*.f64 (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -2 binary64) (*.f64 y y)) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (/.f64 (fma.f64 x #s(literal 2 binary64) (*.f64 y y)) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -2 binary64) (*.f64 y y)) (*.f64 x (*.f64 x #s(literal 4 binary64))))))
(*.f64 (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) (*.f64 y y))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -2 binary64) (*.f64 y y)) (*.f64 x (*.f64 x #s(literal 4 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x x) #s(literal -4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -2 binary64) (*.f64 y y)))))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -2 binary64) (*.f64 y y)) (*.f64 x (*.f64 x #s(literal 4 binary64))))) (fma.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -2 binary64) (*.f64 y y))) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x x) #s(literal -4 binary64))))
(*.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y y))))
(*.f64 (/.f64 (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x x) #s(literal -4 binary64)))) (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))
(*.f64 (/.f64 (fma.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y y))) (-.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y y))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))))) (fma.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 y y) #s(literal 2 binary64)))) (-.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 y y) #s(literal 2 binary64)))) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y))))))
(*.f64 (/.f64 (fma.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 x #s(literal -2 binary64) (*.f64 y y)) (*.f64 x (*.f64 x #s(literal 4 binary64)))) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x #s(literal -2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y y)))))) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x #s(literal -2 binary64)) (-.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 y y)))))
(*.f64 (/.f64 (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (fma.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 x (fma.f64 x #s(literal 4 binary64) (*.f64 (*.f64 y y) #s(literal 2 binary64))))))

simplify250.0ms (2.6%)

Memory
26.3MiB live, 534.7MiB allocated
Algorithm
1×egg-herbie
Rules
8 808×accelerator-lowering-fma.f32
8 808×accelerator-lowering-fma.f64
3 150×*-lowering-*.f32
3 150×*-lowering-*.f64
1 842×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039508
1126508
2344508
31265508
43605508
08114474
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
Calls
Call 1
Inputs
(* x (+ 2 x))
(+ (* x (+ 2 x)) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(* 2 x)
(* x (+ 2 x))
(* x (+ 2 x))
(* x (+ 2 x))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
2
(+ 2 x)
(+ 2 x)
(+ 2 x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(* 2 x)
(+ (* 2 x) (pow y 2))
(+ (* 2 x) (pow y 2))
(+ (* 2 x) (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(pow y 2)
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* 2 x) (pow y 2))
(+ (* 2 x) (pow y 2))
(* 2 x)
(* x (+ 2 (/ (pow y 2) x)))
(* x (+ 2 (/ (pow y 2) x)))
(* x (+ 2 (/ (pow y 2) x)))
(* 2 x)
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
Outputs
(* x (+ 2 x))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(+ (* x (+ 2 x)) (pow y 2))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(+ (* x (+ 2 x)) (pow y 2))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(+ (* x (+ 2 x)) (pow y 2))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(+ (* 2 x) (pow y 2))
(fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64)))
(+ (* x (+ 2 x)) (pow y 2))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(+ (* x (+ 2 x)) (pow y 2))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* x (+ 2 x))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(* x (+ 2 x))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(* x (+ 2 x))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 x #s(literal 2 binary64))
(+ 2 x)
(+.f64 x #s(literal 2 binary64))
(+ 2 x)
(+.f64 x #s(literal 2 binary64))
x
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 x #s(literal 2 binary64))
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 x #s(literal 2 binary64))
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 x #s(literal 2 binary64))
x
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 x #s(literal 2 binary64))
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 x #s(literal 2 binary64))
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 x #s(literal 2 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(+ (* 2 x) (pow y 2))
(fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64)))
(+ (* 2 x) (pow y 2))
(fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64)))
(+ (* 2 x) (pow y 2))
(fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64)))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64)))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* (pow y 2) (+ 1 (* 2 (/ x (pow y 2)))))
(fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64)))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(+ (* 2 x) (pow y 2))
(fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64)))
(+ (* 2 x) (pow y 2))
(fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64)))
(+ (* 2 x) (pow y 2))
(fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* x (+ 2 (/ (pow y 2) x)))
(fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* x (+ 2 (/ (pow y 2) x)))
(fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* x (+ 2 (/ (pow y 2) x)))
(fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* 2 x)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* -1 (* x (- (* -1 (/ (pow y 2) x)) 2)))
(fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64)))

eval60.0ms (0.6%)

Memory
-11.4MiB live, 151.4MiB allocated
Compiler

Compiled 10 936 to 894 computations (91.8% saved)

prune61.0ms (0.6%)

Memory
0.1MiB live, 121.5MiB allocated
Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New4281429
Fresh011
Picked145
Done022
Total4298437
Accuracy
100.0%
Counts
437 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 y y))
▶77.8%
(fma.f64 y y (*.f64 x x))
✓68.8%
(fma.f64 y y (*.f64 x #s(literal 2 binary64)))
✓100.0%
(fma.f64 x #s(literal 2 binary64) (fma.f64 x x (*.f64 y y)))
✓47.0%
(*.f64 y y)
✓61.0%
(*.f64 x (+.f64 #s(literal 2 binary64) x))
✓39.7%
(*.f64 x x)
✓24.8%
(*.f64 x #s(literal 2 binary64))
Compiler

Compiled 59 to 36 computations (39% saved)

simplify5.0ms (0%)

Memory
13.2MiB live, 13.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(+.f64 x #s(literal 2 binary64))
✓cost-diff0
(fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 y y))
✓cost-diff0
(*.f64 x x)
✓cost-diff0
(fma.f64 y y (*.f64 x x))
Rules
28×+-lowering-+.f64
28×+-lowering-+.f32
28×accelerator-lowering-fma.f32
28×accelerator-lowering-fma.f64
12×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0930
11330
21930
33130
43330
03328
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* y y) (* x x))
y
(* x x)
x
(+ (* (+ x 2) x) (* y y))
(+ x 2)
x
2
(* y y)
y
Outputs
(+ (* y y) (* x x))
(fma.f64 y y (*.f64 x x))
y
(* x x)
(*.f64 x x)
x
(+ (* (+ x 2) x) (* y y))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 y y))
(+ x 2)
(+.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
(* y y)
(*.f64 y y)
y

localize30.0ms (0.3%)

Memory
-1.5MiB live, 78.7MiB allocated
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 y y)
✓accuracy100.0%
(fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 y y))
✓accuracy100.0%
(fma.f64 y y (*.f64 x x))
✓accuracy100.0%
(*.f64 x x)
Samples
20.0ms256×0valid
Compiler

Compiled 30 to 11 computations (63.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 9.0ms (71.8% of total)
ival-add: 3.0ms (23.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
-34.7MiB live, 4.7MiB allocated
Counts
5 → 84
Calls
Call 1
Inputs
#<alt (+ (* y y) (* x x))>
#<alt (* x x)>
#<alt (+ (* (+ x 2) x) (* y y))>
#<alt (+ x 2)>
#<alt (* y y)>
Outputs
#<alt (pow x 2)>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))>
#<alt (pow y 2)>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (+ (pow x 2) (pow y 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow y 2)>
#<alt (+ (* 2 x) (pow y 2))>
#<alt (+ (* x (+ 2 x)) (pow y 2))>
#<alt (+ (* x (+ 2 x)) (pow y 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))>
#<alt (* x (+ 2 x))>
#<alt (+ (* x (+ 2 x)) (pow y 2))>
#<alt (+ (* x (+ 2 x)) (pow y 2))>
#<alt (+ (* x (+ 2 x)) (pow y 2))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))>
#<alt (* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))>
#<alt 2>
#<alt (+ 2 x)>
#<alt (+ 2 x)>
#<alt (+ 2 x)>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (* x (+ 1 (* 2 (/ 1 x))))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
Calls

21 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(* y y)
0.0ms
x
@inf
(+ (* y y) (* x x))
0.0ms
x
@inf
(+ (* (+ x 2) x) (* y y))
0.0ms
y
@0
(+ (* y y) (* x x))
0.0ms
y
@-inf
(* y y)

rewrite478.0ms (5%)

Memory
23.8MiB live, 661.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 522×accelerator-lowering-fma.f32
6 522×accelerator-lowering-fma.f64
4 616×*-lowering-*.f32
4 616×*-lowering-*.f64
2 124×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0925
15125
241925
3472025
0850523
Stop Event
1×iter limit
1×node limit
Counts
5 → 247
Calls
Call 1
Inputs
(+ (* y y) (* x x))
(* x x)
(+ (* (+ x 2) x) (* y y))
(+ x 2)
(* y y)
Outputs
(+.f64 (*.f64 y y) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 y y))
(+.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 y x) (-.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (+.f64 y x) (-.f64 y x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 y x) (-.f64 y x))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 y x) (-.f64 x y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (+.f64 y x) (-.f64 x y))))
(fma.f64 y y (*.f64 x x))
(fma.f64 y (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 y x) (-.f64 y x)))))
(fma.f64 (*.f64 y y) (/.f64 (*.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 y x) (-.f64 y x)))))
(fma.f64 x x (*.f64 y y))
(fma.f64 (*.f64 y (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 y x) (-.f64 y x)))))
(fma.f64 (*.f64 y (*.f64 y y)) (/.f64 y (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 y x) (-.f64 y x)))))
(fma.f64 (/.f64 y (+.f64 y x)) (/.f64 (*.f64 y (*.f64 y y)) (-.f64 y x)) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 y x) (-.f64 y x)))))
(fma.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x)) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 y x) (-.f64 y x)))))
(fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y x)) (/.f64 y (-.f64 y x)) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 y x) (-.f64 y x)))))
(fma.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 y x) (-.f64 y x)))) (fma.f64 y y (*.f64 x x)) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 y x) (-.f64 y x)))))
(fma.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 y y)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (+.f64 y x) (-.f64 y x)))))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 x (*.f64 x (*.f64 x x)))))))
(neg.f64 (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 y x) (-.f64 y x)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (fma.f64 (*.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 x (*.f64 x (*.f64 x x))))))
(neg.f64 (/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 y x) (-.f64 y x)))) (*.f64 (+.f64 y x) (-.f64 y x))))
(/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (fma.f64 (*.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 y x) (-.f64 y x))) (*.f64 (+.f64 y x) (-.f64 y x)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 y x) (-.f64 y x)))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 y x) (-.f64 y x))))
(/.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y))))))) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 x (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 y y) (*.f64 (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 y (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 y x) (-.f64 x y)))))
(/.f64 (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 y x) (-.f64 x y))) (*.f64 (+.f64 y x) (-.f64 x y)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y (*.f64 y y)))))))
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(*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (*.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 y y))) (-.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 x #s(literal 2 binary64))))) (*.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y)))))) (fma.f64 (*.f64 y y) (fma.f64 x (+.f64 x #s(literal 2 binary64)) (*.f64 y y)) (*.f64 x (*.f64 x (*.f64 (+.f64 x #s(literal 2 binary64)) (+.f64 x #s(literal 2 binary64)))))))
(+.f64 x #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) x)
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64))))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 2 binary64) x)))
(fma.f64 x (/.f64 x (+.f64 x #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64)))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 2 binary64))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -4 binary64))) (+.f64 x #s(literal 2 binary64)) (neg.f64 (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64)))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 x x) #s(literal -8 binary64))) (fma.f64 x x (fma.f64 x #s(literal 2 binary64) #s(literal 4 binary64))) (neg.f64 (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64)))))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 8 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)))))
(neg.f64 (/.f64 (fma.f64 x x #s(literal -4 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal 8 binary64))) (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64))))
(neg.f64 (/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 4 binary64)) (+.f64 x #s(literal -2 binary64))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 8 binary64)) (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)))
(/.f64 (fma.f64 x x #s(literal -4 binary64)) (+.f64 x #s(literal -2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal 8 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64))))
(/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 4 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) #s(literal 512 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)) (-.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 64 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64))))))
(/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -64 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)) (fma.f64 x (*.f64 x x) #s(literal -8 binary64))))
(/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -64 binary64)) (*.f64 (+.f64 x #s(literal -2 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 16 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 4 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 #s(literal 2 binary64) x))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -16 binary64)) (*.f64 (+.f64 x #s(literal -2 binary64)) (fma.f64 x x #s(literal 4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -2 binary64))) (*.f64 (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64))) (*.f64 (+.f64 x #s(literal -2 binary64)) (+.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 8 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -4 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal -2 binary64)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) #s(literal 512 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 64 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)))) (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x x) #s(literal -8 binary64)) (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 16 binary64))) (+.f64 x #s(literal -2 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 4 binary64)) (+.f64 x #s(literal -2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal 8 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 4 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -2 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -2 binary64)))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -2 binary64)))) (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64))))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -2 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -2 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -2 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64))))) (fma.f64 x (/.f64 x (+.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 x #s(literal -2 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x x)) #s(literal 512 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)))) (-.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 64 binary64)) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -8 binary64)))
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -64 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64)))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 16 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -16 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64)))) (fma.f64 x x #s(literal 4 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64))))
(*.f64 (fma.f64 x x #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)))))
(*.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64))) (fma.f64 x (*.f64 x x) #s(literal 8 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -2 binary64))) (fma.f64 x x #s(literal -4 binary64)))
(*.f64 (-.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -4 binary64)) (fma.f64 x x #s(literal -4 binary64))) (+.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 8 binary64)) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)))))) (fma.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (-.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 4 binary64)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 8 binary64)) (*.f64 (fma.f64 x (+.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)) (+.f64 (fma.f64 x x #s(literal -4 binary64)) (*.f64 x #s(literal 2 binary64))))) (+.f64 (fma.f64 x x #s(literal -4 binary64)) (*.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -4 binary64)) (fma.f64 x (*.f64 x x) #s(literal -8 binary64))) (fma.f64 x x (fma.f64 x #s(literal 2 binary64) #s(literal 4 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1 binary64)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(*.f64 y y)

simplify800.0ms (8.3%)

Memory
-4.2MiB live, 455.9MiB allocated
Algorithm
1×egg-herbie
Rules
15 730×accelerator-lowering-fma.f32
15 730×accelerator-lowering-fma.f64
4 928×*-lowering-*.f32
4 928×*-lowering-*.f64
1 528×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037430
1117430
2308418
31067418
42477418
54554418
08151384
Stop Event
1×iter limit
1×node limit
Counts
84 → 84
Calls
Call 1
Inputs
(pow x 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(pow y 2)
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(+ (pow x 2) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow y 2)
(+ (* 2 x) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(* x (+ 2 x))
(+ (* x (+ 2 x)) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(+ (* x (+ 2 x)) (pow y 2))
(pow y 2)
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(pow y 2)
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
2
(+ 2 x)
(+ 2 x)
(+ 2 x)
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
x
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(* x (+ 1 (* 2 (/ 1 x))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
Outputs
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(+ (pow x 2) (pow y 2))
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
(+ (pow x 2) (pow y 2))
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
(+ (pow x 2) (pow y 2))
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(+ (pow x 2) (pow y 2))
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
(+ (pow x 2) (pow y 2))
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
(+ (pow x 2) (pow y 2))
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(+ (* 2 x) (pow y 2))
(fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64)))
(+ (* x (+ 2 x)) (pow y 2))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(+ (* x (+ 2 x)) (pow y 2))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ (pow y 2) (pow x 2)))))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(* (pow x 2) (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) 2) x))))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(* x (+ 2 x))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(+ (* x (+ 2 x)) (pow y 2))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(+ (* x (+ 2 x)) (pow y 2))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(+ (* x (+ 2 x)) (pow y 2))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(* (pow y 2) (+ 1 (/ (* x (+ 2 x)) (pow y 2))))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))
2
#s(literal 2 binary64)
(+ 2 x)
(+.f64 x #s(literal 2 binary64))
(+ 2 x)
(+.f64 x #s(literal 2 binary64))
(+ 2 x)
(+.f64 x #s(literal 2 binary64))
x
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 x #s(literal 2 binary64))
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 x #s(literal 2 binary64))
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 x #s(literal 2 binary64))
x
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 x #s(literal 2 binary64))
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 x #s(literal 2 binary64))
(* x (+ 1 (* 2 (/ 1 x))))
(+.f64 x #s(literal 2 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))
(pow y 2)
(fma.f64 y y #s(literal 0 binary64))

eval52.0ms (0.5%)

Memory
-18.3MiB live, 95.5MiB allocated
Compiler

Compiled 10 357 to 699 computations (93.3% saved)

prune38.0ms (0.4%)

Memory
18.5MiB live, 97.9MiB allocated
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New3310331
Fresh000
Picked022
Done066
Total3318339
Accuracy
100.0%
Counts
339 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 y y))
✓77.8%
(fma.f64 y y (*.f64 x x))
✓68.8%
(fma.f64 y y (*.f64 x #s(literal 2 binary64)))
✓100.0%
(fma.f64 x #s(literal 2 binary64) (fma.f64 x x (*.f64 y y)))
✓47.0%
(*.f64 y y)
✓61.0%
(*.f64 x (+.f64 #s(literal 2 binary64) x))
✓39.7%
(*.f64 x x)
✓24.8%
(*.f64 x #s(literal 2 binary64))
Compiler

Compiled 138 to 58 computations (58% saved)

regimes24.0ms (0.3%)

Memory
-18.3MiB live, 60.0MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 y y)
(fma.f64 x x #s(literal 0 binary64))
(fma.f64 y y #s(literal 0 binary64))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(fma.f64 y y (*.f64 x #s(literal 2 binary64)))
(fma.f64 y y (*.f64 x x))
(fma.f64 #s(literal 2 binary64) x (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))
(fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 y y))
(fma.f64 x #s(literal 2 binary64) (fma.f64 x x (*.f64 y y)))
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
Outputs
(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))
Calls

5 calls:

5.0ms
x
5.0ms
(*.f64 y y)
5.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
4.0ms
y
4.0ms
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
100.0%1(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
100.0%1(*.f64 y y)
Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes19.0ms (0.2%)

Memory
8.5MiB live, 51.8MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 y y)
(fma.f64 x x #s(literal 0 binary64))
(fma.f64 y y #s(literal 0 binary64))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(fma.f64 y y (*.f64 x #s(literal 2 binary64)))
(fma.f64 y y (*.f64 x x))
(fma.f64 #s(literal 2 binary64) x (fma.f64 y y #s(literal 0 binary64)))
Outputs
(fma.f64 y y (*.f64 x #s(literal 2 binary64)))
(fma.f64 y y (*.f64 x x))
Calls

5 calls:

5.0ms
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
4.0ms
y
3.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
3.0ms
x
3.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
99.4%3x
97.0%2y
99.4%2(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
99.4%2(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
97.0%2(*.f64 y y)
Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes15.0ms (0.2%)

Memory
0.7MiB live, 40.1MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 y y)
(fma.f64 x x #s(literal 0 binary64))
(fma.f64 y y #s(literal 0 binary64))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(fma.f64 y y (*.f64 x #s(literal 2 binary64)))
Outputs
(fma.f64 y y (*.f64 x #s(literal 2 binary64)))
(*.f64 x x)
Calls

5 calls:

4.0ms
x
3.0ms
y
3.0ms
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
3.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
3.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
82.9%2y
82.9%2(*.f64 y y)
95.0%3x
72.0%2(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
94.4%2(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes11.0ms (0.1%)

Memory
-9.5MiB live, 29.7MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 y y)
(fma.f64 x x #s(literal 0 binary64))
(fma.f64 y y #s(literal 0 binary64))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
Outputs
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(*.f64 y y)
Calls

4 calls:

3.0ms
(*.f64 y y)
3.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
82.9%2y
82.9%2(*.f64 y y)
73.2%3x
72.7%2(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
Compiler

Compiled 20 to 13 computations (35% saved)

regimes7.0ms (0.1%)

Memory
19.6MiB live, 19.6MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)
(*.f64 y y)
(fma.f64 x x #s(literal 0 binary64))
(fma.f64 y y #s(literal 0 binary64))
Outputs
(*.f64 y y)
(*.f64 x x)
Calls

3 calls:

2.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
2.0ms
y
2.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
72.7%2(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
68.1%3y
68.1%3(*.f64 y y)
Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes9.0ms (0.1%)

Memory
-15.7MiB live, 23.4MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)
Outputs
(*.f64 x #s(literal 2 binary64))
(*.f64 x x)
Calls

5 calls:

2.0ms
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
2.0ms
y
2.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
1.0ms
x
1.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
46.3%2y
46.3%2(*.f64 y y)
60.7%3x
60.8%2(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
60.6%2(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes7.0ms (0.1%)

Memory
16.1MiB live, 16.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

1.0ms
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
1.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
1.0ms
y
1.0ms
x
1.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
24.8%1(*.f64 y y)
24.8%1y
24.8%1x
24.8%1(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
24.8%1(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
Compiler

Compiled 33 to 21 computations (36.4% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.7842841451828858e-6
208061760563006700.0
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
7.818231727940623e+126
9.27866975146619e+128
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.4996484017435876e+62
7.703174136367461e+69
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
7.818231727940623e+126
9.27866975146619e+128
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.797636049880612e-6
0.0005057423411251745
Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify12.0ms (0.1%)

Memory
-31.7MiB live, 14.6MiB allocated
Algorithm
1×egg-herbie
Rules
6×+-commutative_binary64
4×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027102
132102
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 4722366482869645/2361183241434822606848 binary64)) (fma.f64 y y (*.f64 x #s(literal 2 binary64))) (fma.f64 y y (*.f64 x x)))
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 9999999999999999549291066784979473595300225087383524118479625982517885450291174622154390152298057300868772377386949310916067328 binary64)) (fma.f64 y y (*.f64 x #s(literal 2 binary64))) (*.f64 x x))
(if (<=.f64 (*.f64 y y) #s(literal 200000000000000007004399371886322346092160635596623651209740288 binary64)) (*.f64 x (+.f64 #s(literal 2 binary64) x)) (*.f64 y y))
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 9999999999999999549291066784979473595300225087383524118479625982517885450291174622154390152298057300868772377386949310916067328 binary64)) (*.f64 y y) (*.f64 x x))
(if (<=.f64 (+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y)) #s(literal 4722366482869645/2361183241434822606848 binary64)) (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
(*.f64 x #s(literal 2 binary64))
Outputs
(fma.f64 y y (*.f64 x (+.f64 x #s(literal 2 binary64))))
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 4722366482869645/2361183241434822606848 binary64)) (fma.f64 y y (*.f64 x #s(literal 2 binary64))) (fma.f64 y y (*.f64 x x)))
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 9999999999999999549291066784979473595300225087383524118479625982517885450291174622154390152298057300868772377386949310916067328 binary64)) (fma.f64 y y (*.f64 x #s(literal 2 binary64))) (*.f64 x x))
(if (<=.f64 (*.f64 y y) #s(literal 200000000000000007004399371886322346092160635596623651209740288 binary64)) (*.f64 x (+.f64 #s(literal 2 binary64) x)) (*.f64 y y))
(if (<=.f64 (*.f64 y y) #s(literal 200000000000000007004399371886322346092160635596623651209740288 binary64)) (*.f64 x (+.f64 x #s(literal 2 binary64))) (*.f64 y y))
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 9999999999999999549291066784979473595300225087383524118479625982517885450291174622154390152298057300868772377386949310916067328 binary64)) (*.f64 y y) (*.f64 x x))
(if (<=.f64 (+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y)) #s(literal 4722366482869645/2361183241434822606848 binary64)) (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
(*.f64 x #s(literal 2 binary64))

soundness2.0s (21.3%)

Memory
24.1MiB live, 775.7MiB allocated
Rules
14 654×accelerator-lowering-fma.f32
14 654×accelerator-lowering-fma.f64
9 938×accelerator-lowering-fma.f32
9 938×accelerator-lowering-fma.f64
8 934×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047700
1148700
2387652
31319652
44019652
08036600
0823
14223
240123
3613523
0808922
036334
1101334
2272334
3917334
42774334
54851334
67645334
08375318
01540
110640
2106840
0837237
039508
1126508
2344508
31265508
43605508
08114474
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 252 to 121 computations (52% saved)

preprocess68.0ms (0.7%)

Memory
-11.3MiB live, 185.6MiB allocated
Remove

(abs y)

Compiler

Compiled 280 to 94 computations (66.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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