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

Time bar (total: 7.9s)

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB 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)

sample873.0ms (11.1%)

Memory
-16.9MiB live, 1 184.1MiB allocated
Samples
558.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 269.0ms
ival-mult: 171.0ms (63.6% of total)
ival-add: 85.0ms (31.6% of total)
ival-true: 6.0ms (2.2% of total)
exact: 4.0ms (1.5% of total)
ival-assert: 3.0ms (1.1% of total)
Bogosity

preprocess35.0ms (0.4%)

Memory
21.8MiB live, 57.7MiB 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 (1.3%)

Memory
-10.8MiB live, 266.2MiB 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
33.0ms512×0valid
Compiler

Compiled 90 to 36 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 12.0ms (67% of total)
ival-add: 4.0ms (22.3% of total)
ival-true: 1.0ms (5.6% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB 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 (0.1%)

Memory
8.7MiB live, 8.7MiB 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

localize24.0ms (0.3%)

Memory
18.9MiB live, 58.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓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))
✓accuracy100.0%
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
Samples
16.0ms256×0valid
Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 5.0ms (69% of total)
ival-add: 2.0ms (27.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
-29.8MiB live, 8.9MiB allocated
Counts
4 → 60
Calls
Call 1
Inputs
#<alt (+ (* x 2) (* x x))>
#<alt (+ (+ (* x 2) (* x x)) (* y y))>
#<alt (* x 2)>
#<alt (* x x)>
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)>
Calls

15 calls:

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

rewrite474.0ms (6%)

Memory
8.4MiB live, 602.0MiB 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
0820
14220
240120
3613520
0808919
Stop Event
1×iter limit
1×node limit
Counts
4 → 211
Calls
Call 1
Inputs
(+ (* x 2) (* x x))
(+ (+ (* x 2) (* x x)) (* y y))
(* x 2)
(* x x)
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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(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))

simplify348.0ms (4.4%)

Memory
33.2MiB live, 589.3MiB 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
036298
1101298
2272298
3917298
42774298
54851298
67645298
08375282
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
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)
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))

eval35.0ms (0.4%)

Memory
-5.6MiB live, 103.1MiB allocated
Compiler

Compiled 8 813 to 659 computations (92.5% saved)

prune36.0ms (0.5%)

Memory
20.4MiB live, 102.4MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New2656271
Fresh000
Picked101
Done000
Total2666272
Accuracy
100.0%
Counts
272 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 y y))
▶47.4%
(fma.f64 y y #s(literal 0 binary64))
▶100.0%
(fma.f64 x x (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))
▶43.0%
(fma.f64 x x #s(literal 0 binary64))
▶65.5%
(fma.f64 #s(literal 2 binary64) x (fma.f64 y y #s(literal 0 binary64)))
▶61.8%
(*.f64 x (+.f64 #s(literal 2 binary64) x))
Compiler

Compiled 98 to 62 computations (36.7% saved)

simplify41.0ms (0.5%)

Memory
-28.6MiB 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 #s(literal 2 binary64) (*.f64 y y))
✓cost-diff192
(fma.f64 x x (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))
Rules
56×+-lowering-+.f64
56×+-lowering-+.f32
40×accelerator-lowering-fma.f32
40×accelerator-lowering-fma.f64
24×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01558
13056
24956
35656
05653
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* x x) (+ (* x 2) (* y y)))
x
(+ (* x 2) (* y y))
2
(* 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 x) (+ (* x 2) (* y y)))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64)))
x
(+ (* x 2) (* y y))
(fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64)))
2
#s(literal 2 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)

localize56.0ms (0.7%)

Memory
-5.0MiB live, 89.6MiB 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 x (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))
✓accuracy100.0%
(*.f64 y y)
✓accuracy100.0%
(fma.f64 x #s(literal 2 binary64) (*.f64 y y))
Samples
32.0ms256×0valid
Compiler

Compiled 60 to 17 computations (71.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-add: 13.0ms (61.6% of total)
ival-mult: 7.0ms (33.2% 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
9.3MiB live, 9.3MiB allocated
Counts
8 → 132
Calls
Call 1
Inputs
#<alt (+ (* x x) (+ (* x 2) (* y y)))>
#<alt (+ (* x 2) (* 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 (+ (* 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)))))>
#<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
1.0ms
x
@-inf
(* x (+ 2 x))
0.0ms
x
@0
(* x (+ 2 x))
0.0ms
x
@inf
(* x (+ 2 x))
0.0ms
x
@0
(+ (* x 2) (* y y))
0.0ms
x
@-inf
(+ (* x 2) (* y y))

rewrite484.0ms (6.1%)

Memory
-15.8MiB live, 819.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 156×accelerator-lowering-fma.f32
6 156×accelerator-lowering-fma.f64
3 694×/-lowering-/.f32
3 694×/-lowering-/.f64
3 432×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01542
110540
296640
0882637
Stop Event
1×iter limit
1×node limit
Counts
8 → 830
Calls
Call 1
Inputs
(+ (* x x) (+ (* x 2) (* y y)))
(+ (* x 2) (* 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 #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(+.f64 (fma.f64 x (+.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x #s(literal 2 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(+.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (fma.f64 y y (fma.f64 x x #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)))
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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)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 x #s(literal 2 binary64) #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)) (*.f64 #s(literal 8 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))))
(/.f64 #s(literal 1 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)) (fma.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #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))) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (/.f64 (-.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 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 x #s(literal 2 binary64) (fma.f64 y y #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))) #s(literal 0 binary64))))
(/.f64 (-.f64 #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))) #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 (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 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) (-.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (-.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (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 (-.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (fma.f64 y y #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 (neg.f64 (-.f64 #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)) (*.f64 #s(literal 8 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 y y #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 (neg.f64 (-.f64 #s(literal 0 binary64) (-.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 (-.f64 #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 (neg.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)))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))))
(/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #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))) #s(literal 0 binary64)) #s(literal 0 binary64))) (+.f64 #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))) #s(literal 0 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) (-.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 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 (fma.f64 x #s(literal 2 binary64) #s(literal 0 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 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)))) (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) (-.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 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 (fma.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 #s(literal 2 binary64) #s(literal 0 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 (fma.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 #s(literal 2 binary64) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))))))))
(/.f64 (-.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #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))) #s(literal 0 binary64)) #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))) #s(literal 0 binary64)))
(/.f64 (neg.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #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))) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #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))) #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 x x #s(literal 0 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 y y #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)) (*.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)) (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))))))
(*.f64 (fma.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #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))) #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))) #s(literal 0 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)))))
(*.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 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)))))
(*.f64 (-.f64 #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)) (*.f64 #s(literal 8 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 y y #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 (-.f64 #s(literal 0 binary64) (-.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 #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 #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)) (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))))

simplify315.0ms (4%)

Memory
10.1MiB live, 577.5MiB allocated
Algorithm
1×egg-herbie
Rules
7 768×accelerator-lowering-fma.f32
7 768×accelerator-lowering-fma.f64
3 084×*-lowering-*.f32
3 084×*-lowering-*.f64
2 114×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043700
1132700
2353652
31253652
43427652
57423652
08335600
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)
(+ (* 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)))))
(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))
(+ (* 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)))
(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)))

eval179.0ms (2.3%)

Memory
16.7MiB live, 239.6MiB allocated
Compiler

Compiled 35 322 to 1 850 computations (94.8% saved)

prune126.0ms (1.6%)

Memory
-34.9MiB live, 339.4MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1 04061 046
Fresh101
Picked415
Done000
Total1 04571 052
Accuracy
100.0%
Counts
1 052 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶80.9%
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
61.8%
(fma.f64 x x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))
▶65.5%
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
▶47.4%
(*.f64 y y)
✓61.8%
(*.f64 x (+.f64 #s(literal 2 binary64) x))
▶43.0%
(*.f64 x x)
▶21.2%
(*.f64 x #s(literal 2 binary64))
Compiler

Compiled 89 to 57 computations (36% saved)

simplify5.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01139
11639
22939
32939
02937
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* x x) (+ (* y y) 0))
x
(+ (* y y) 0)
y
0
(* x 2)
x
2
(* x x)
x
(* y y)
y
(+ (* 2 x) (* y y))
2
x
(* y y)
y
Outputs
(+ (* x x) (+ (* y y) 0))
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
x
(+ (* y y) 0)
(fma.f64 y y #s(literal 0 binary64))
y
0
#s(literal 0 binary64)
(* x 2)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
x
2
#s(literal 2 binary64)
(* x x)
(fma.f64 x x #s(literal 0 binary64))
x
(* y y)
(fma.f64 y y #s(literal 0 binary64))
y
(+ (* 2 x) (* y y))
(fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64)))
2
#s(literal 2 binary64)
x
(* y y)
(fma.f64 y y #s(literal 0 binary64))
y

localize37.0ms (0.5%)

Memory
-1.6MiB live, 75.0MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 y y)
✓accuracy100.0%
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
✓accuracy100.0%
(*.f64 y y)
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(fma.f64 y y #s(literal 0 binary64))
✓accuracy100.0%
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
Samples
25.0ms256×0valid
Compiler

Compiled 41 to 13 computations (68.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (62.3% of total)
ival-add: 3.0ms (31.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated
Counts
6 → 96
Calls
Call 1
Inputs
#<alt (+ (* x x) (+ (* y y) 0))>
#<alt (+ (* y y) 0)>
#<alt (* x 2)>
#<alt (* x x)>
#<alt (* y y)>
#<alt (+ (* 2 x) (* y y))>
Outputs
#<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 (* 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 (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

24 calls:

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

rewrite489.0ms (6.2%)

Memory
44.6MiB live, 823.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
9 062×accelerator-lowering-fma.f32
9 062×accelerator-lowering-fma.f64
3 528×*-lowering-*.f32
3 528×*-lowering-*.f64
2 736×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01126
15626
251726
3681226
0803524
Stop Event
1×iter limit
1×node limit
Counts
6 → 564
Calls
Call 1
Inputs
(+ (* x x) (+ (* y y) 0))
(+ (* y y) 0)
(* x 2)
(* x x)
(* y y)
(+ (* 2 x) (* y y))
Outputs
(+.f64 (fma.f64 x x #s(literal 0 binary64)) (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)))
(+.f64 #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))) #s(literal 0 binary64))
(+.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))) (neg.f64 (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64)))))
(-.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(-.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64))
(-.f64 (fma.f64 x x (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))))
(-.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (+.f64 x y) (-.f64 x y) #s(literal 0 binary64))))
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(/.f64 (*.f64 (fma.f64 (fma.f64 y (*.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64)) (*.f64 (*.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)))) #s(literal 64 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (*.f64 y (fma.f64 y y (*.f64 x #s(literal -2 binary64)))))))) (fma.f64 (fma.f64 y (*.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 (fma.f64 y (*.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64))) (*.f64 (*.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)))) #s(literal 64 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64))) (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 #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 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (*.f64 y (fma.f64 y y (*.f64 x #s(literal -2 binary64)))))))) (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64))) (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 #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 x #s(literal -2 binary64) (fma.f64 y y #s(literal 0 binary64))))) (fma.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #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)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 16 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 16 binary64)) (fma.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #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))))) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 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))
(pow.f64 (/.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)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 y y (*.f64 x #s(literal -2 binary64))) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal -4 binary64) (fma.f64 x x #s(literal 0 binary64))))) #s(literal -1 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) (-.f64 #s(literal 0 binary64) (fma.f64 y y #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 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (fma.f64 x #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 x #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))))))
(*.f64 (fma.f64 y (*.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (*.f64 y (fma.f64 y y (*.f64 x #s(literal -2 binary64))))))))
(*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (*.f64 y (fma.f64 y y (*.f64 x #s(literal -2 binary64)))))) (*.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (*.f64 y (fma.f64 y y (*.f64 x #s(literal -2 binary64)))))))))
(*.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (*.f64 y (fma.f64 y y (*.f64 x #s(literal -2 binary64)))))) (/.f64 (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (*.f64 y (fma.f64 y y (*.f64 x #s(literal -2 binary64))))))))
(*.f64 (-.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #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 #s(literal 0 binary64) (fma.f64 y (*.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (*.f64 y (fma.f64 y y (*.f64 x #s(literal -2 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 1 binary64) (fma.f64 x #s(literal -2 binary64) (fma.f64 y y #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 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (*.f64 y (*.f64 y (fma.f64 y y (*.f64 x #s(literal -2 binary64))))))) (fma.f64 y (*.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.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)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal -4 binary64) (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x #s(literal -2 binary64)))))
(*.f64 (/.f64 (-.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 x #s(literal 2 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 y (*.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64))) (fma.f64 (*.f64 y (*.f64 y (fma.f64 y y (*.f64 x #s(literal -2 binary64))))) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 y y (*.f64 x #s(literal -2 binary64))) (*.f64 y (*.f64 y (fma.f64 y y (*.f64 x #s(literal -2 binary64))))))) (*.f64 (*.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)))) #s(literal 64 binary64)))) (fma.f64 (*.f64 y (*.f64 y (fma.f64 y y (*.f64 x #s(literal -2 binary64))))) (-.f64 (*.f64 y (*.f64 y (fma.f64 y y (*.f64 x #s(literal -2 binary64))))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 16 binary64))))
(*.f64 (/.f64 (fma.f64 y (*.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))) (*.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64))) (-.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 16 binary64)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 y y (*.f64 x #s(literal -2 binary64))) (*.f64 y (*.f64 y (fma.f64 y y (*.f64 x #s(literal -2 binary64))))))))) (-.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) (*.f64 y (*.f64 y (fma.f64 y y (*.f64 x #s(literal -2 binary64)))))))
(*.f64 (/.f64 (-.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64)) (fma.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (fma.f64 (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))))

simplify306.0ms (3.9%)

Memory
-45.1MiB live, 502.2MiB allocated
Algorithm
1×egg-herbie
Rules
6 534×accelerator-lowering-fma.f32
6 534×accelerator-lowering-fma.f64
3 676×*-lowering-*.f32
3 676×*-lowering-*.f64
1 780×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027432
177432
2196432
3714432
42146432
53841432
67213432
08299396
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
Calls
Call 1
Inputs
(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)
(* 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)
(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))
(+ (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))
(* 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))
(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)))

eval146.0ms (1.9%)

Memory
17.5MiB live, 165.8MiB allocated
Compiler

Compiled 23 459 to 1 048 computations (95.5% saved)

prune202.0ms (2.6%)

Memory
19.3MiB live, 213.9MiB allocated
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New7951796
Fresh011
Picked145
Done011
Total7967803
Accuracy
100.0%
Counts
803 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶61.8%
(fma.f64 x x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))
▶80.9%
(fma.f64 x x (*.f64 y y))
✓65.5%
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
✓47.4%
(*.f64 y y)
✓61.8%
(*.f64 x (+.f64 #s(literal 2 binary64) x))
✓43.0%
(*.f64 x x)
✓21.2%
(*.f64 x #s(literal 2 binary64))
Compiler

Compiled 47 to 30 computations (36.2% saved)

simplify22.0ms (0.3%)

Memory
-29.4MiB live, 9.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
✓cost-diff192
(fma.f64 x x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))
✓cost-diff-64
(*.f64 y y)
✓cost-diff0
(fma.f64 x x (*.f64 y y))
Rules
32×+-lowering-+.f64
32×+-lowering-+.f32
22×accelerator-lowering-fma.f32
22×accelerator-lowering-fma.f64
12×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
11723
22823
32923
43523
53523
03522
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* x x) (* y y))
x
(* y y)
y
(+ (* x x) (+ (* x 2) 0))
x
(+ (* x 2) 0)
2
0
Outputs
(+ (* x x) (* y y))
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
x
(* y y)
(fma.f64 y y #s(literal 0 binary64))
y
(+ (* x x) (+ (* x 2) 0))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))
x
(+ (* x 2) 0)
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
2
#s(literal 2 binary64)
0
#s(literal 0 binary64)

localize42.0ms (0.5%)

Memory
-0.8MiB live, 53.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 x x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))
✓accuracy100.0%
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
✓accuracy100.0%
(fma.f64 x x (*.f64 y y))
✓accuracy100.0%
(*.f64 y y)
Samples
33.0ms256×0valid
Compiler

Compiled 27 to 12 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 5.0ms (57% of total)
ival-add: 3.0ms (34.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Counts
4 → 60
Calls
Call 1
Inputs
#<alt (+ (* x x) (* y y))>
#<alt (* y y)>
#<alt (+ (* x x) (+ (* x 2) 0))>
#<alt (+ (* x 2) 0)>
Outputs
#<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 (* 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 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)>
Calls

15 calls:

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

rewrite593.0ms (7.5%)

Memory
23.0MiB live, 565.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 622×accelerator-lowering-fma.f32
7 622×accelerator-lowering-fma.f64
3 754×*-lowering-*.f32
3 754×*-lowering-*.f64
2 828×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
15718
250818
3692418
0818617
Stop Event
1×iter limit
1×node limit
Counts
4 → 523
Calls
Call 1
Inputs
(+ (* x x) (* y y))
(* y y)
(+ (* x x) (+ (* x 2) 0))
(+ (* x 2) 0)
Outputs
(+.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y))
(+.f64 (*.f64 y y) (fma.f64 x x #s(literal 0 binary64)))
(+.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (+.f64 x y) (-.f64 x y)))))
(-.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (+.f64 x y) (-.f64 x y))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (+.f64 x y) (-.f64 x y))))
(-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (+.f64 x y) (-.f64 y x))) (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (+.f64 x y) (-.f64 y x))))
(fma.f64 x x (*.f64 y y))
(fma.f64 x (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (+.f64 x y) (-.f64 x y)))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (+.f64 x y) (-.f64 x y)))))
(fma.f64 y y (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (+.f64 x y) (-.f64 x y)))))
(fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (/.f64 x (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (+.f64 x y) (-.f64 x y)))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 y y))
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 (/.f64 x (+.f64 x y)) (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (+.f64 x y) (-.f64 x y)))))
(fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (+.f64 x y)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (+.f64 x y) (-.f64 x y)))))
(fma.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (+.f64 x y)) (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (+.f64 x y) (-.f64 x y)))))
(fma.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y)))) (fma.f64 x x (*.f64 y y)) (neg.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (+.f64 x y) (-.f64 x y)))))
(fma.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (*.f64 y y))))) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)))) (neg.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (+.f64 x y) (-.f64 x y)))))
(neg.f64 (/.f64 (fma.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.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))))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y y) (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))))))
(neg.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) (-.f64 x y)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.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 (*.f64 y y) (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y)))) (*.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (fma.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.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 (*.f64 y y) (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (+.f64 x y) (-.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))) (*.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)))))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y y) (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y)))) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 (fma.f64 (*.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)))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (*.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)))))) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y)))))))) (*.f64 (fma.f64 (*.f64 y y) (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (*.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))))) (*.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (-.f64 (*.f64 y (*.f64 y (*.f64 y (*.f64 y (*.f64 y y))))) (*.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)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y y))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 y x)))))
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(*.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))) (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))) (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 4 binary64)))
(*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) x))
(*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 4 binary64)) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64)) x))
(*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x) (/.f64 #s(literal 8 binary64) (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64))))
(*.f64 (/.f64 #s(literal 8 binary64) (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64))) (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) x))
(*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64))) #s(literal 2 binary64))
(*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 #s(literal 8 binary64) (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 8 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))))
(*.f64 (/.f64 #s(literal 8 binary64) (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))) (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 4 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (/.f64 #s(literal 8 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 4 binary64)))
(*.f64 (/.f64 #s(literal 8 binary64) x) (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 8 binary64) x))
(*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 4 binary64))
(*.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) x) (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) x))
(*.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) #s(literal 4 binary64)))
(*.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) #s(literal 4 binary64)) (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 x x))
(*.f64 (/.f64 x (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64) #s(literal 0 binary64))) (/.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) x))
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64) #s(literal 0 binary64))) (/.f64 (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64) #s(literal 0 binary64))) (/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(*.f64 (/.f64 #s(literal 4 binary64) (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64) #s(literal 0 binary64))) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64) #s(literal 0 binary64)) (fma.f64 (*.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)))) #s(literal 64 binary64) #s(literal 0 binary64))) (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 16 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 (/.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64) #s(literal 0 binary64)) (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 #s(literal 8 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64) #s(literal 0 binary64)) (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64) #s(literal 0 binary64))) (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64)) (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal -8 binary64) #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -4 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 4 binary64) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -4 binary64) #s(literal 0 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 0 binary64)) (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64) #s(literal 0 binary64))) (/.f64 x (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 8 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/4 binary64) (fma.f64 x x #s(literal 0 binary64)))))

simplify498.0ms (6.3%)

Memory
-34.8MiB live, 421.0MiB allocated
Algorithm
1×egg-herbie
Rules
8 394×*-lowering-*.f32
8 394×*-lowering-*.f64
3 084×/-lowering-/.f32
3 084×/-lowering-/.f64
3 064×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020270
155270
2129270
3432270
41115270
52003270
62362270
72977270
84389270
95305270
105911270
116314270
126508270
136544270
147659270
157903270
167917270
08280252
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
(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)
(* 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 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
Outputs
(pow y 2)
(*.f64 y y)
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))
(fma.f64 y y (*.f64 x x))
(pow x 2)
(*.f64 x x)
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(+ (pow x 2) (pow y 2))
(fma.f64 y y (*.f64 x x))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))
(* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))
(fma.f64 y y (*.f64 x x))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(* 2 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))
(* x (+ 2 x))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x 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) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x 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) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)

eval122.0ms (1.6%)

Memory
25.0MiB live, 139.1MiB allocated
Compiler

Compiled 14 690 to 1 181 computations (92% saved)

prune196.0ms (2.5%)

Memory
-25.4MiB live, 181.8MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New5821583
Fresh000
Picked112
Done055
Total5837590
Accuracy
100.0%
Counts
590 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓80.9%
(fma.f64 x x (*.f64 y y))
61.8%
(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
✓65.5%
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
✓47.4%
(*.f64 y y)
✓61.8%
(*.f64 x (+.f64 #s(literal 2 binary64) x))
✓43.0%
(*.f64 x x)
✓21.2%
(*.f64 x #s(literal 2 binary64))
Compiler

Compiled 137 to 53 computations (61.3% saved)

regimes83.0ms (1.1%)

Memory
14.3MiB live, 53.8MiB allocated
Counts
15 → 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 #s(literal 2 binary64) x (*.f64 y y))
(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
(fma.f64 x x (*.f64 y y))
(fma.f64 #s(literal 2 binary64) x (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 x x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 y y))
(fma.f64 x x (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
Outputs
(fma.f64 x x (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))
Calls

5 calls:

63.0ms
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
5.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
5.0ms
y
5.0ms
x
4.0ms
(*.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)

regimes67.0ms (0.8%)

Memory
6.2MiB live, 45.7MiB 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 #s(literal 2 binary64) x (*.f64 y y))
(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
(fma.f64 x x (*.f64 y y))
(fma.f64 #s(literal 2 binary64) x (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 x x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 y y))
Outputs
(fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 y y))
Calls

5 calls:

4.0ms
y
4.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
4.0ms
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
4.0ms
x
4.0ms
(*.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)

regimes68.0ms (0.9%)

Memory
8.3MiB live, 49.2MiB allocated
Counts
12 → 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 #s(literal 2 binary64) x (*.f64 y y))
(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
(fma.f64 x x (*.f64 y y))
(fma.f64 #s(literal 2 binary64) x (fma.f64 y y #s(literal 0 binary64)))
(fma.f64 x x (fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64)))
(fma.f64 x x (fma.f64 y y #s(literal 0 binary64)))
Outputs
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(fma.f64 x x (*.f64 y y))
Calls

5 calls:

51.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
4.0ms
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
4.0ms
x
4.0ms
y
4.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
98.4%3x
97.9%2y
98.4%2(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
98.4%2(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
97.9%2(*.f64 y y)
Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes65.0ms (0.8%)

Memory
-3.2MiB live, 36.2MiB allocated
Counts
8 → 3
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 #s(literal 2 binary64) x (*.f64 y y))
(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
Outputs
(fma.f64 x x (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(*.f64 x x)
Calls

5 calls:

52.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
3.0ms
y
3.0ms
x
3.0ms
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
3.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
89.6%3x
86.3%2y
86.3%2(*.f64 y y)
68.5%2(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
87.9%2(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes3.0ms (0%)

Memory
6.7MiB live, 6.7MiB allocated
Counts
7 → 3
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 #s(literal 2 binary64) x (*.f64 y y))
Outputs
(*.f64 x (+.f64 #s(literal 2 binary64) x))
(fma.f64 #s(literal 2 binary64) x (*.f64 y y))
(*.f64 x x)
Calls

1 calls:

3.0ms
x
Results
AccuracySegmentsBranch
89.6%3x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes114.0ms (1.4%)

Memory
-37.5MiB live, 41.4MiB 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:

50.0ms
x
3.0ms
y
3.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
2.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
86.3%2y
86.3%2(*.f64 y y)
74.7%3(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
75.1%3x
Compiler

Compiled 20 to 13 computations (35% saved)

regimes10.0ms (0.1%)

Memory
20.4MiB live, 20.4MiB allocated
Counts
5 → 3
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 x #s(literal 2 binary64))
(*.f64 y y)
(*.f64 x x)
Calls

4 calls:

2.0ms
y
2.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
2.0ms
x
2.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
73.5%3(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
73.7%4x
72.7%3y
71.2%3(*.f64 y y)
Compiler

Compiled 20 to 13 computations (35% saved)

regimes8.0ms (0.1%)

Memory
13.6MiB live, 13.6MiB 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
y
1.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
1.0ms
x
1.0ms
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
1.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
60.1%2(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
46.7%2(*.f64 y y)
60.1%3x
48.2%2y
60.1%2(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
Compiler

Compiled 33 to 21 computations (36.4% saved)

regimes56.0ms (0.7%)

Memory
-21.5MiB live, 19.1MiB 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:

50.0ms
x
1.0ms
y
1.0ms
(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
1.0ms
(*.f64 y y)
1.0ms
(+.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) (*.f64 y y))
Results
AccuracySegmentsBranch
21.2%1(*.f64 y y)
21.2%1y
21.2%1x
21.2%1(+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
21.2%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
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
7.259250914326612e-34
3.599290571355509e-27
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch38.0ms (0.5%)

Memory
12.4MiB live, 51.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
6.0ms
1.8050331498361015e+129
5.736170111420994e+129
29.0ms
-1.0105232315240798e-5
-4.304622048999176e-12
Samples
28.0ms224×0valid
Compiler

Compiled 253 to 171 computations (32.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 21.0ms (89.6% of total)
ival-add: 2.0ms (8.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch23.0ms (0.3%)

Memory
-22.4MiB live, 54.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
6.0ms
1.8050331498361015e+129
5.736170111420994e+129
13.0ms
-1.0105232315240798e-5
-4.304622048999176e-12
Samples
12.0ms224×0valid
Compiler

Compiled 244 to 171 computations (29.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (54.3% of total)
ival-add: 3.0ms (40.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.1187951690651198e+96
9.095120848082627e+103
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
5.03500335213027e+216
9.672758867247551e+216
0.0ms
-1.1496842507354032e-151
-5.826440619544956e-153
Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.0379678845925988e-5
45.11965406066181
Compiler

Compiled 16 to 13 computations (18.8% saved)

simplify9.0ms (0.1%)

Memory
23.9MiB live, 23.9MiB allocated
Algorithm
1×egg-herbie
Rules
6×+-commutative_binary64
4×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041150
146150
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 x x (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))
(fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 y y))
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1461501637330903/1461501637330902918203684832716283019655932542976 binary64)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)) (fma.f64 x x (*.f64 y y)))
(if (<=.f64 x #s(literal -7177997053961861/18889465931478580854784 binary64)) (fma.f64 x x (*.f64 x #s(literal 2 binary64))) (if (<=.f64 x #s(literal 1849999999999999888962409900476542523504018133374719127542693110821434010854808824335268698425511570432203484837549375615406178304 binary64)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)) (*.f64 x x)))
(if (<=.f64 x #s(literal -7253554917687775/75557863725914323419136 binary64)) (*.f64 x (+.f64 #s(literal 2 binary64) x)) (if (<=.f64 x #s(literal 1849999999999999888962409900476542523504018133374719127542693110821434010854808824335268698425511570432203484837549375615406178304 binary64)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)) (*.f64 x x)))
(if (<=.f64 (*.f64 y y) #s(literal 4000000000000000199446615887635572068041073941753848606299571722447953596397223261537836061425664 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 -2948408144391829/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 binary64)) (*.f64 x #s(literal 2 binary64)) (if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 5999999999999999516168867916083940036477508305264745199781281744320505289323038389389240386513983997376267574799709382075899987232729517782339561924128557310466881171057461734396226624099272119719130430563005241491456 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 5902958103587057/295147905179352825856 binary64)) (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
(*.f64 x #s(literal 2 binary64))
Outputs
(fma.f64 x x (fma.f64 x #s(literal 2 binary64) (*.f64 y y)))
(fma.f64 (+.f64 x #s(literal 2 binary64)) x (*.f64 y y))
(if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1461501637330903/1461501637330902918203684832716283019655932542976 binary64)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)) (fma.f64 x x (*.f64 y y)))
(if (<=.f64 x #s(literal -7177997053961861/18889465931478580854784 binary64)) (fma.f64 x x (*.f64 x #s(literal 2 binary64))) (if (<=.f64 x #s(literal 1849999999999999888962409900476542523504018133374719127542693110821434010854808824335268698425511570432203484837549375615406178304 binary64)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)) (*.f64 x x)))
(if (<=.f64 x #s(literal -7253554917687775/75557863725914323419136 binary64)) (*.f64 x (+.f64 #s(literal 2 binary64) x)) (if (<=.f64 x #s(literal 1849999999999999888962409900476542523504018133374719127542693110821434010854808824335268698425511570432203484837549375615406178304 binary64)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)) (*.f64 x x)))
(if (<=.f64 x #s(literal -7253554917687775/75557863725914323419136 binary64)) (*.f64 x (+.f64 x #s(literal 2 binary64))) (if (<=.f64 x #s(literal 1849999999999999888962409900476542523504018133374719127542693110821434010854808824335268698425511570432203484837549375615406178304 binary64)) (fma.f64 #s(literal 2 binary64) x (*.f64 y y)) (*.f64 x x)))
(if (<=.f64 (*.f64 y y) #s(literal 4000000000000000199446615887635572068041073941753848606299571722447953596397223261537836061425664 binary64)) (*.f64 x (+.f64 #s(literal 2 binary64) x)) (*.f64 y y))
(if (<=.f64 (*.f64 y y) #s(literal 4000000000000000199446615887635572068041073941753848606299571722447953596397223261537836061425664 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 -2948408144391829/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 binary64)) (*.f64 x #s(literal 2 binary64)) (if (<=.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)) #s(literal 5999999999999999516168867916083940036477508305264745199781281744320505289323038389389240386513983997376267574799709382075899987232729517782339561924128557310466881171057461734396226624099272119719130430563005241491456 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 5902958103587057/295147905179352825856 binary64)) (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
(if (<=.f64 (+.f64 (*.f64 y y) (+.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))) #s(literal 5902958103587057/295147905179352825856 binary64)) (*.f64 x #s(literal 2 binary64)) (*.f64 x x))
(*.f64 x #s(literal 2 binary64))

soundness1.5s (18.5%)

Memory
11.3MiB live, 1 133.7MiB allocated
Rules
9 938×accelerator-lowering-fma.f32
9 938×accelerator-lowering-fma.f64
9 062×accelerator-lowering-fma.f32
9 062×accelerator-lowering-fma.f64
7 768×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036298
1101298
2272298
3917298
42774298
54851298
67645298
08375282
043700
1132700
2353652
31253652
43427652
57423652
08335600
01020
15718
250818
3692418
0818617
01126
15626
251726
3681226
0803524
01542
110540
296640
0882637
0820
14220
240120
3613520
0808919
Stop Event
1×fuel
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
1×iter limit
1×node limit
Compiler

Compiled 392 to 195 computations (50.3% saved)

preprocess74.0ms (0.9%)

Memory
-8.3MiB live, 190.0MiB allocated
Remove

(abs y)

Compiler

Compiled 378 to 124 computations (67.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...