System.Random.MWC.Distributions:standard from mwc-random-0.13.3.2

Time bar (total: 4.8s)

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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 9 to 8 computations (11.1% saved)

sample538.0ms (11.3%)

Memory
34.5MiB live, 719.3MiB allocated
Samples
354.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 167.0ms
ival-mult: 111.0ms (66.6% of total)
ival-sub: 44.0ms (26.4% of total)
ival-true: 5.0ms (3% of total)
exact: 4.0ms (2.4% of total)
ival-assert: 3.0ms (1.8% of total)
Bogosity

preprocess49.0ms (1%)

Memory
-13.6MiB live, 64.6MiB allocated
Algorithm
2×egg-herbie
Rules
336×accelerator-lowering-fma.f32
336×accelerator-lowering-fma.f64
216×*-lowering-*.f32
216×*-lowering-*.f64
200×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01844
14842
213142
338542
468342
586342
690242
790442
067
197
2207
3427
4677
5957
61657
72647
84107
94657
104997
04997
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(* 1/2 (- (* x x) y))
Outputs
(* 1/2 (- (* x x) y))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y) #s(literal 0 binary64))
Call 2
Inputs
(* 1/2 (- (* x x) y))
(* 1/2 (- (* (neg x) (neg x)) y))
(* 1/2 (- (* x x) (neg y)))
(neg (* 1/2 (- (* (neg x) (neg x)) y)))
(neg (* 1/2 (- (* x x) (neg y))))
(* 1/2 (- (* y y) x))
Outputs
(* 1/2 (- (* x x) y))
(* 1/2 (- (* (neg x) (neg x)) y))
(* 1/2 (- (* x x) y))
(* 1/2 (- (* x x) (neg y)))
(* 1/2 (+ (* x x) y))
(neg (* 1/2 (- (* (neg x) (neg x)) y)))
(* 1/2 (- y (* x x)))
(neg (* 1/2 (- (* x x) (neg y))))
(* (+ (* x x) y) -1/2)
(* 1/2 (- (* y y) x))
Symmetry

(abs x)

explain66.0ms (1.4%)

Memory
-10.4MiB live, 72.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(-.f64 (*.f64 x x) y)
00-0-(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y))
00-0-#s(literal 1/2 binary64)
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
25.0ms512×0valid
Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 7.0ms (68.9% of total)
ival-sub: 2.0ms (19.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify19.0ms (0.4%)

Memory
9.1MiB live, 9.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 x x)
✓cost-diff-64
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y))
✓cost-diff0
(-.f64 (*.f64 x x) y)
Rules
336×accelerator-lowering-fma.f32
336×accelerator-lowering-fma.f64
216×*-lowering-*.f32
216×*-lowering-*.f64
80×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
1918
22018
34218
46718
59518
616518
726418
841018
946518
1049918
049918
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* 1/2 (- (* x x) y))
1/2
(- (* x x) y)
(* x x)
x
y
Outputs
(* 1/2 (- (* x x) y))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y) #s(literal 0 binary64))
1/2
#s(literal 1/2 binary64)
(- (* x x) y)
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(* x x)
(fma.f64 x x #s(literal 0 binary64))
x
y

localize17.0ms (0.4%)

Memory
12.4MiB live, 12.4MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x x)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y))
✓accuracy100.0%
(-.f64 (*.f64 x x) y)
Samples
11.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (65.8% of total)
ival-sub: 1.0ms (21.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
2.1MiB live, 2.1MiB allocated
Counts
3 → 60
Calls
Call 1
Inputs
#<alt (- (* x x) y)>
#<alt (* 1/2 (- (* x x) y))>
#<alt (* x x)>
Outputs
#<alt (* -1 y)>
#<alt (- (pow x 2) y)>
#<alt (- (pow x 2) y)>
#<alt (- (pow x 2) y)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))>
#<alt (pow x 2)>
#<alt (+ (* -1 y) (pow x 2))>
#<alt (+ (* -1 y) (pow x 2))>
#<alt (+ (* -1 y) (pow x 2))>
#<alt (* -1 y)>
#<alt (* y (- (/ (pow x 2) y) 1))>
#<alt (* y (- (/ (pow x 2) y) 1))>
#<alt (* y (- (/ (pow x 2) y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/2 y) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/2 y) (* 1/2 (pow x 2)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (+ (* -1/2 y) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/2 y) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/2 y) (* 1/2 (pow x 2)))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 1/2 (/ (pow x 2) y)) 1/2))>
#<alt (* y (- (* 1/2 (/ (pow x 2) y)) 1/2))>
#<alt (* y (- (* 1/2 (/ (pow x 2) y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))>
#<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
0.0ms
y
@inf
(* 1/2 (- (* x x) y))
0.0ms
x
@inf
(- (* x x) y)
0.0ms
y
@0
(- (* x x) y)
0.0ms
x
@0
(- (* x x) y)
0.0ms
x
@0
(* 1/2 (- (* x x) y))

rewrite632.0ms (13.3%)

Memory
-0.0MiB live, 598.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 946×accelerator-lowering-fma.f32
6 946×accelerator-lowering-fma.f64
4 110×/-lowering-/.f32
4 110×/-lowering-/.f64
3 550×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
12415
217515
3163815
0854015
Stop Event
1×iter limit
1×node limit
Counts
3 → 266
Calls
Call 1
Inputs
(- (* x x) y)
(* 1/2 (- (* x x) y))
(* x x)
Outputs
(+.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y))
(+.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 x x #s(literal 0 binary64)))
(+.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (fma.f64 x x y)))) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (fma.f64 x x y))))))
(+.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x y)) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) (fma.f64 x x y))))
(+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y))) #s(literal -1 binary64)))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(-.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (fma.f64 x x y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (fma.f64 x x y)))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x y)) (/.f64 (*.f64 y y) (fma.f64 x x y)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y)))
(-.f64 #s(literal 0 binary64) (-.f64 y (fma.f64 x x #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x y))) (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) (fma.f64 x x y))) (/.f64 (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 x x y))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (fma.f64 x x y))))) (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (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)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x (*.f64 x (*.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 y (fma.f64 x x y)))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x (*.f64 x (*.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 y (fma.f64 x x y)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) (fma.f64 x (*.f64 x (*.f64 x (*.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 y (fma.f64 x x y)))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x (*.f64 x (*.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 y (fma.f64 x x y)))))
(-.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (fma.f64 y y (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) y)))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y y (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) y)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (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)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 y (*.f64 y y)))))) (fma.f64 y y (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) y)))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (*.f64 y (*.f64 y y)) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 y (*.f64 y y)))))) (fma.f64 y y (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) y)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 y (*.f64 y y)))) (fma.f64 y y (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) y)))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 y (*.f64 y y)))) (fma.f64 y y (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) y)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 y y)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))))) (fma.f64 x x y)) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 y y) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 y y)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))))) (fma.f64 x x y)))
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(*.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x y)) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y)) (*.f64 (-.f64 (fma.f64 x x #s(literal 0 binary64)) y) (fma.f64 x x y))) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y))
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(+.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(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)))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
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(/.f64 (fma.f64 (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) #s(literal 0 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)))
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(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)

simplify200.0ms (4.2%)

Memory
-16.0MiB live, 293.4MiB allocated
Algorithm
1×egg-herbie
Rules
5 028×accelerator-lowering-fma.f32
5 028×accelerator-lowering-fma.f64
3 454×*-lowering-*.f32
3 454×*-lowering-*.f64
1 378×div-sub
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
035327
1102327
2297327
3999291
42509291
55004291
67180291
08138291
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
(* -1 y)
(- (pow x 2) y)
(- (pow x 2) y)
(- (pow x 2) y)
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(pow x 2)
(+ (* -1 y) (pow x 2))
(+ (* -1 y) (pow x 2))
(+ (* -1 y) (pow x 2))
(* -1 y)
(* y (- (/ (pow x 2) y) 1))
(* y (- (/ (pow x 2) y) 1))
(* y (- (/ (pow x 2) y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))
(* -1/2 y)
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(* 1/2 (pow x 2))
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(* -1/2 y)
(* y (- (* 1/2 (/ (pow x 2) y)) 1/2))
(* y (- (* 1/2 (/ (pow x 2) y)) 1/2))
(* y (- (* 1/2 (/ (pow x 2) y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))
(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
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- (pow x 2) y)
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(- (pow x 2) y)
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(- (pow x 2) y)
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(+ (* -1 y) (pow x 2))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(+ (* -1 y) (pow x 2))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(+ (* -1 y) (pow x 2))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ (pow x 2) y) 1))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(* y (- (/ (pow x 2) y) 1))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(* y (- (/ (pow x 2) y) 1))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64))
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64))
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64))
(* 1/2 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64))
(* 1/2 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64))
(* 1/2 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64))
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64))
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* y (- (* 1/2 (/ (pow x 2) y)) 1/2))
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64))
(* y (- (* 1/2 (/ (pow x 2) y)) 1/2))
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64))
(* y (- (* 1/2 (/ (pow x 2) y)) 1/2))
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))

eval41.0ms (0.9%)

Memory
-13.6MiB live, 81.8MiB allocated
Compiler

Compiled 15 619 to 901 computations (94.2% saved)

prune50.0ms (1.1%)

Memory
-5.7MiB live, 73.0MiB allocated
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3233326
Fresh000
Picked011
Done000
Total3234327
Accuracy
100.0%
Counts
327 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶46.8%
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
▶100.0%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x x (-.f64 #s(literal 0 binary64) y)))
▶54.8%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)))
✓100.0%
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y))
Compiler

Compiled 33 to 24 computations (27.3% saved)

simplify19.0ms (0.4%)

Memory
26.1MiB live, 26.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
✓cost-diff-64
(*.f64 #s(literal 1/2 binary64) (fma.f64 x x (-.f64 #s(literal 0 binary64) y)))
✓cost-diff0
(-.f64 #s(literal 0 binary64) y)
✓cost-diff0
(fma.f64 x x (-.f64 #s(literal 0 binary64) y))
✓cost-diff-64
(*.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)))
✓cost-diff0
(fma.f64 x x #s(literal 0 binary64))
Rules
336×accelerator-lowering-fma.f32
336×accelerator-lowering-fma.f64
216×*-lowering-*.f32
216×*-lowering-*.f64
80×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01335
13335
25535
38135
411335
518135
628235
741835
847335
950535
050535
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* 1/2 (+ (* x x) 0))
1/2
(+ (* x x) 0)
x
0
(* 1/2 (+ (* x x) (- 0 y)))
1/2
(+ (* x x) (- 0 y))
x
(- 0 y)
0
y
(+ (* y -1/2) 0)
y
-1/2
0
Outputs
(* 1/2 (+ (* x x) 0))
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64)) #s(literal 0 binary64))
1/2
#s(literal 1/2 binary64)
(+ (* x x) 0)
(fma.f64 x x #s(literal 0 binary64))
x
0
#s(literal 0 binary64)
(* 1/2 (+ (* x x) (- 0 y)))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x x (-.f64 #s(literal 0 binary64) y)) #s(literal 0 binary64))
1/2
#s(literal 1/2 binary64)
(+ (* x x) (- 0 y))
(fma.f64 x x (-.f64 #s(literal 0 binary64) y))
x
(- 0 y)
(-.f64 #s(literal 0 binary64) y)
0
#s(literal 0 binary64)
y
(+ (* y -1/2) 0)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
y
-1/2
#s(literal -1/2 binary64)
0
#s(literal 0 binary64)

localize51.0ms (1.1%)

Memory
-9.9MiB live, 69.0MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
✓accuracy100.0%
(fma.f64 x x (-.f64 #s(literal 0 binary64) y))
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) y)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x x (-.f64 #s(literal 0 binary64) y)))
✓accuracy100.0%
(fma.f64 x x #s(literal 0 binary64))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)))
Samples
24.0ms256×0valid
Compiler

Compiled 43 to 15 computations (65.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 6.0ms (42% of total)
ival-add: 4.0ms (28% of total)
ival-sub: 3.0ms (21% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
5.8MiB live, 5.8MiB allocated
Counts
6 → 96
Calls
Call 1
Inputs
#<alt (+ (* x x) 0)>
#<alt (* 1/2 (+ (* x x) 0))>
#<alt (+ (* x x) (- 0 y))>
#<alt (- 0 y)>
#<alt (* 1/2 (+ (* x x) (- 0 y)))>
#<alt (+ (* y -1/2) 0)>
Outputs
#<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 (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* -1 y)>
#<alt (- (pow x 2) y)>
#<alt (- (pow x 2) y)>
#<alt (- (pow x 2) y)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))>
#<alt (pow x 2)>
#<alt (+ (* -1 y) (pow x 2))>
#<alt (+ (* -1 y) (pow x 2))>
#<alt (+ (* -1 y) (pow x 2))>
#<alt (* -1 y)>
#<alt (* y (- (/ (pow x 2) y) 1))>
#<alt (* y (- (/ (pow x 2) y) 1))>
#<alt (* y (- (/ (pow x 2) y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/2 y) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/2 y) (* 1/2 (pow x 2)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (+ (* -1/2 y) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/2 y) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/2 y) (* 1/2 (pow x 2)))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 1/2 (/ (pow x 2) y)) 1/2))>
#<alt (* y (- (* 1/2 (/ (pow x 2) y)) 1/2))>
#<alt (* y (- (* 1/2 (/ (pow x 2) y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
Calls

24 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(* 1/2 (+ (* x x) 0))
0.0ms
y
@0
(+ (* y -1/2) 0)
0.0ms
x
@0
(* 1/2 (+ (* x x) 0))
0.0ms
y
@inf
(+ (* y -1/2) 0)
0.0ms
y
@inf
(- 0 y)

rewrite312.0ms (6.6%)

Memory
-13.0MiB live, 461.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 050×accelerator-lowering-fma.f32
6 050×accelerator-lowering-fma.f64
3 058×*-lowering-*.f32
3 058×*-lowering-*.f64
2 178×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01325
17825
292424
01015022
Stop Event
1×iter limit
1×node limit
Counts
6 → 828
Calls
Call 1
Inputs
(+ (* x x) 0)
(* 1/2 (+ (* x x) 0))
(+ (* x x) (- 0 y))
(- 0 y)
(* 1/2 (+ (* x x) (- 0 y)))
(+ (* y -1/2) 0)
Outputs
(+.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(fma.f64 x x #s(literal 0 binary64))
(fma.f64 x (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (*.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
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(*.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/4 binary64) #s(literal 0 binary64)) (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)) y))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/4 binary64) #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)) #s(literal -1/2 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)) y))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)) (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) y #s(literal 0 binary64)) #s(literal -1/8 binary64) #s(literal 0 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/4 binary64) #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)) y) (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/4 binary64) #s(literal 0 binary64)) (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)) y) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) y #s(literal 0 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 #s(literal -1/8 binary64) y) (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) y #s(literal 0 binary64)) (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)) #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)) #s(literal 3/2 binary64)) y) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64))) (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)) #s(literal 1/4 binary64)) (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/4 binary64) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)) (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/4 binary64) #s(literal 0 binary64)) y))
(*.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/4 binary64) #s(literal 0 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)))))
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/4 binary64) #s(literal 0 binary64))) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/4 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)))))
(*.f64 (/.f64 y (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/4 binary64) #s(literal 0 binary64))) (/.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/4 binary64) #s(literal 0 binary64))) (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/4 binary64) #s(literal 0 binary64))) (fma.f64 #s(literal -1/2 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal -1/2 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) y #s(literal 0 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) y #s(literal 0 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64))))
(*.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) y #s(literal 0 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64))))
(*.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) y #s(literal 0 binary64)) #s(literal 1/4 binary64)) (/.f64 #s(literal -1/8 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (/.f64 #s(literal -1/8 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) y #s(literal 0 binary64)) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) y #s(literal 0 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1/4 binary64))
(*.f64 (/.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) y #s(literal 0 binary64)) (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))) (/.f64 #s(literal -1/8 binary64) y))
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)) #s(literal 3/2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64)) #s(literal 3/2 binary64)) y))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) y) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) y #s(literal 0 binary64)) #s(literal -1/8 binary64) #s(literal 0 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/4 binary64) #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1/2 binary64) y))
(*.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/4 binary64) y))
(*.f64 (/.f64 #s(literal 1/4 binary64) y) (/.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) y #s(literal 0 binary64)) #s(literal -1/8 binary64) #s(literal 0 binary64))) (/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/4 binary64) #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) y) (/.f64 y #s(literal -1/2 binary64)))
(*.f64 (/.f64 y (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) y #s(literal 0 binary64)) #s(literal -1/8 binary64) #s(literal 0 binary64))) (/.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/4 binary64) #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) #s(literal -1/2 binary64)) (/.f64 y y))
(*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) y #s(literal 0 binary64)) #s(literal -1/8 binary64) #s(literal 0 binary64))) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/4 binary64) #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) y #s(literal 0 binary64)) #s(literal -1/8 binary64) #s(literal 0 binary64))) (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/4 binary64) #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 y #s(literal 1/4 binary64) #s(literal 0 binary64)) (fma.f64 (fma.f64 (fma.f64 y y #s(literal 0 binary64)) y #s(literal 0 binary64)) #s(literal -1/8 binary64) #s(literal 0 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/4 binary64) #s(literal 0 binary64)))))

simplify319.0ms (6.7%)

Memory
37.7MiB live, 309.3MiB allocated
Algorithm
1×egg-herbie
Rules
5 028×accelerator-lowering-fma.f32
5 028×accelerator-lowering-fma.f64
3 454×*-lowering-*.f32
3 454×*-lowering-*.f64
1 374×div-sub
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
035447
1102447
2299447
3994411
42481411
54967411
67137411
08102411
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
Calls
Call 1
Inputs
(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)
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* -1 y)
(- (pow x 2) y)
(- (pow x 2) y)
(- (pow x 2) y)
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(pow x 2)
(+ (* -1 y) (pow x 2))
(+ (* -1 y) (pow x 2))
(+ (* -1 y) (pow x 2))
(* -1 y)
(* y (- (/ (pow x 2) y) 1))
(* y (- (/ (pow x 2) y) 1))
(* y (- (/ (pow x 2) y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1/2 y)
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(* 1/2 (pow x 2))
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(* -1/2 y)
(* y (- (* 1/2 (/ (pow x 2) y)) 1/2))
(* y (- (* 1/2 (/ (pow x 2) y)) 1/2))
(* y (- (* 1/2 (/ (pow x 2) y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
Outputs
(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))
(* 1/2 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- (pow x 2) y)
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(- (pow x 2) y)
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(- (pow x 2) y)
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(+ (* -1 y) (pow x 2))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(+ (* -1 y) (pow x 2))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(+ (* -1 y) (pow x 2))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ (pow x 2) y) 1))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(* y (- (/ (pow x 2) y) 1))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(* y (- (/ (pow x 2) y) 1))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y) #s(literal 0 binary64))
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y) #s(literal 0 binary64))
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y) #s(literal 0 binary64))
(* 1/2 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y) #s(literal 0 binary64))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y) #s(literal 0 binary64))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y) #s(literal 0 binary64))
(* 1/2 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y) #s(literal 0 binary64))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y) #s(literal 0 binary64))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y) #s(literal 0 binary64))
(* 1/2 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y) #s(literal 0 binary64))
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y) #s(literal 0 binary64))
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* y (- (* 1/2 (/ (pow x 2) y)) 1/2))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y) #s(literal 0 binary64))
(* y (- (* 1/2 (/ (pow x 2) y)) 1/2))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y) #s(literal 0 binary64))
(* y (- (* 1/2 (/ (pow x 2) y)) 1/2))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y) #s(literal 0 binary64))
(* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y) #s(literal 0 binary64))
(* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))

eval106.0ms (2.2%)

Memory
20.3MiB live, 239.8MiB allocated
Compiler

Compiled 21 800 to 1 749 computations (92% saved)

prune249.0ms (5.2%)

Memory
-30.2MiB live, 259.6MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New9204924
Fresh000
Picked303
Done101
Total9244928
Accuracy
100.0%
Counts
928 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶54.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
▶2.2%
(*.f64 y #s(literal 1/2 binary64))
▶46.8%
(*.f64 y #s(literal -1/2 binary64))
▶100.0%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x x (neg.f64 y)))
Compiler

Compiled 26 to 19 computations (26.9% saved)

simplify316.0ms (6.6%)

Memory
8.7MiB live, 48.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 #s(literal 1/2 binary64) x)
✓cost-diff-64
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
✓cost-diff-64
(*.f64 y #s(literal 1/2 binary64))
✓cost-diff-64
(*.f64 y #s(literal -1/2 binary64))
✓cost-diff-64
(neg.f64 y)
✓cost-diff-64
(*.f64 #s(literal 1/2 binary64) (fma.f64 x x (neg.f64 y)))
✓cost-diff0
(fma.f64 x x (neg.f64 y))
Rules
336×accelerator-lowering-fma.f32
336×accelerator-lowering-fma.f64
216×*-lowering-*.f32
216×*-lowering-*.f64
80×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01237
12937
24137
36137
48937
515937
625737
740237
845737
948737
048737
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* 1/2 (+ (* x x) (neg y)))
1/2
(+ (* x x) (neg y))
x
(neg y)
y
(* y -1/2)
y
-1/2
(* y 1/2)
y
1/2
(* (* 1/2 x) x)
(* 1/2 x)
1/2
x
Outputs
(* 1/2 (+ (* x x) (neg y)))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) y) #s(literal 0 binary64))
1/2
#s(literal 1/2 binary64)
(+ (* x x) (neg y))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
x
(neg y)
(-.f64 #s(literal 0 binary64) y)
y
(* y -1/2)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
y
-1/2
#s(literal -1/2 binary64)
(* y 1/2)
(fma.f64 #s(literal 1/2 binary64) y #s(literal 0 binary64))
y
1/2
#s(literal 1/2 binary64)
(* (* 1/2 x) x)
(fma.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
1/2
#s(literal 1/2 binary64)
x

localize358.0ms (7.5%)

Memory
-12.6MiB live, 66.5MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) x)
✓accuracy100.0%
(*.f64 y #s(literal 1/2 binary64))
✓accuracy100.0%
(*.f64 y #s(literal -1/2 binary64))
✓accuracy100.0%
(fma.f64 x x (neg.f64 y))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x x (neg.f64 y)))
✓accuracy100.0%
(neg.f64 y)
Samples
345.0ms256×0valid
Compiler

Compiled 39 to 14 computations (64.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 284.0ms
ival-mult: 281.0ms (99% of total)
ival-add: 1.0ms (0.4% of total)
ival-neg: 1.0ms (0.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
2.2MiB live, 2.2MiB allocated
Counts
7 → 108
Calls
Call 1
Inputs
#<alt (+ (* x x) (neg y))>
#<alt (* 1/2 (+ (* x x) (neg y)))>
#<alt (neg y)>
#<alt (* y -1/2)>
#<alt (* y 1/2)>
#<alt (* (* 1/2 x) x)>
#<alt (* 1/2 x)>
Outputs
#<alt (* -1 y)>
#<alt (- (pow x 2) y)>
#<alt (- (pow x 2) y)>
#<alt (- (pow x 2) y)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))>
#<alt (pow x 2)>
#<alt (+ (* -1 y) (pow x 2))>
#<alt (+ (* -1 y) (pow x 2))>
#<alt (+ (* -1 y) (pow x 2))>
#<alt (* -1 y)>
#<alt (* y (- (/ (pow x 2) y) 1))>
#<alt (* y (- (/ (pow x 2) y) 1))>
#<alt (* y (- (/ (pow x 2) y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))>
#<alt (* -1/2 y)>
#<alt (+ (* -1/2 y) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/2 y) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/2 y) (* 1/2 (pow x 2)))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))>
#<alt (* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))>
#<alt (* 1/2 (pow x 2))>
#<alt (+ (* -1/2 y) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/2 y) (* 1/2 (pow x 2)))>
#<alt (+ (* -1/2 y) (* 1/2 (pow x 2)))>
#<alt (* -1/2 y)>
#<alt (* y (- (* 1/2 (/ (pow x 2) y)) 1/2))>
#<alt (* y (- (* 1/2 (/ (pow x 2) y)) 1/2))>
#<alt (* y (- (* 1/2 (/ (pow x 2) y)) 1/2))>
#<alt (* -1/2 y)>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))>
#<alt (* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* -1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 y)>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 (pow x 2))>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
#<alt (* 1/2 x)>
Calls

27 calls:

TimeVariablePointExpression
1.0ms
y
@0
(* y 1/2)
0.0ms
y
@inf
(* y -1/2)
0.0ms
x
@-inf
(* 1/2 x)
0.0ms
x
@inf
(* 1/2 x)
0.0ms
y
@-inf
(* y -1/2)

rewrite327.0ms (6.9%)

Memory
5.5MiB live, 533.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 006×accelerator-lowering-fma.f32
5 006×accelerator-lowering-fma.f64
3 454×*-lowering-*.f32
3 454×*-lowering-*.f64
3 108×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01228
14428
226628
3239527
01029025
Stop Event
1×iter limit
1×node limit
Counts
7 → 347
Calls
Call 1
Inputs
(+ (* x x) (neg y))
(* 1/2 (+ (* x x) (neg y)))
(neg y)
(* y -1/2)
(* y 1/2)
(* (* 1/2 x) x)
(* 1/2 x)
Outputs
(+.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(+.f64 y (fma.f64 x x #s(literal 0 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 x x y))
(+.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x y)) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 x x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x y))) #s(literal -1 binary64)))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(-.f64 #s(literal 0 binary64) (-.f64 y (fma.f64 x x #s(literal 0 binary64))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x y)) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 x x y)))
(-.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 x x y)) (/.f64 (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (-.f64 y (fma.f64 x x #s(literal 0 binary64)))))
(-.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x y) (fma.f64 y y #s(literal 0 binary64)))) (/.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x y) (fma.f64 y y #s(literal 0 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x y) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x x y))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x y) (fma.f64 y y #s(literal 0 binary64)))) (/.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x y) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x x y))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x y) (fma.f64 y y #s(literal 0 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x y) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x y) (fma.f64 y y #s(literal 0 binary64))))) (fma.f64 x x y)) (/.f64 (/.f64 (*.f64 y (*.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x y) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x y) (fma.f64 y y #s(literal 0 binary64))))) (fma.f64 x x y)))
(-.f64 (/.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) (*.f64 (fma.f64 x x y) (fma.f64 x x y))) (fma.f64 x x y)) (/.f64 (/.f64 (*.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (*.f64 (fma.f64 x x y) (fma.f64 x x y))) (fma.f64 x x y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x y) (fma.f64 y y #s(literal 0 binary64))))) (-.f64 y (fma.f64 x x #s(literal 0 binary64))))
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(*.f64 (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x y) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x x y)) (/.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x y) (fma.f64 y y #s(literal 0 binary64)))))
(*.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x y)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) (/.f64 #s(literal 1/2 binary64) (fma.f64 x x y)))
(*.f64 (fma.f64 x x y) #s(literal 1/2 binary64))
(*.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) #s(literal 1/8 binary64) (*.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y #s(literal 1/2 binary64)) (-.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) #s(literal 1/4 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x x y)) (*.f64 #s(literal 1/2 binary64) (fma.f64 x x y))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 x x y))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x y) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x x y))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x y) (fma.f64 y y #s(literal 0 binary64)))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x x y) (fma.f64 x x y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x y)))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x y) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x x y))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (*.f64 y (fma.f64 x x y)) (*.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 (fma.f64 x x y) (fma.f64 x x y)))))) (fma.f64 (*.f64 y (fma.f64 x x y)) (-.f64 (*.f64 y (fma.f64 x x y)) (*.f64 x (*.f64 x (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)) (*.f64 x (*.f64 x (fma.f64 x x #s(literal 0 binary64))))))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x y) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x x y))) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x y) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x y) (fma.f64 y y #s(literal 0 binary64))))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x y) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x x y) (fma.f64 x x y))) (*.f64 (fma.f64 x x y) (fma.f64 x x y))) (fma.f64 x x y))
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (fma.f64 x x y) (fma.f64 x x y))) (*.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x y) (fma.f64 y y #s(literal 0 binary64))) (fma.f64 x x y))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x y) (fma.f64 y y #s(literal 0 binary64))))
y
(+.f64 y #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) y)
(exp.f64 (log.f64 y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) y)
(-.f64 (/.f64 #s(literal 0 binary64) y) y)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) y)
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 y #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 y (exp.f64 (log.f64 #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) y #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) y #s(literal 0 binary64))
(neg.f64 y)
(/.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64))))
(/.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 (fma.f64 y y #s(literal 0 binary64)) y)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -1 binary64) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (fma.f64 y y #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (*.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (fma.f64 y y #s(literal 0 binary64)))) (*.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) (*.f64 y (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (*.f64 y (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(pow.f64 y #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(pow.f64 (/.f64 y (fma.f64 y y #s(literal 0 binary64))) #s(literal -1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 y #s(literal 1 binary64))
(*.f64 y (exp.f64 (log.f64 #s(literal -1 binary64))))
(*.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 1 binary64)))
(*.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (fma.f64 y y #s(literal 0 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 #s(literal 1 binary64) y)
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) y)
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1/2 binary64)))
(neg.f64 (*.f64 y #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y #s(literal 0 binary64))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/2 binary64)) y)
(/.f64 (*.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) #s(literal 1/2 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y #s(literal 0 binary64)))) y)
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/2 binary64))) y)
(/.f64 (neg.f64 (*.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) #s(literal 1/2 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) #s(literal -1/8 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1/2 binary64))))))
(*.f64 y #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1/2 binary64)))
(neg.f64 (*.f64 y #s(literal 1/2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y #s(literal 0 binary64))) y)
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/2 binary64)) y)
(/.f64 (*.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) #s(literal 1/2 binary64)) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 y y #s(literal 0 binary64)))) y)
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/2 binary64))) y)
(/.f64 (neg.f64 (*.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) #s(literal 1/2 binary64))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) #s(literal -1/8 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 1/4 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 y #s(literal 1/2 binary64))))))
(*.f64 y #s(literal 1/2 binary64))
(*.f64 y #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal -1 binary64) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64))
(*.f64 x (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x)
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)

simplify217.0ms (4.6%)

Memory
4.9MiB live, 307.5MiB allocated
Algorithm
1×egg-herbie
Rules
5 028×accelerator-lowering-fma.f32
5 028×accelerator-lowering-fma.f64
3 454×*-lowering-*.f32
3 454×*-lowering-*.f64
1 370×div-sub
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
037483
1105483
2292483
3986447
42481447
54970447
67137447
08097447
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
Calls
Call 1
Inputs
(* -1 y)
(- (pow x 2) y)
(- (pow x 2) y)
(- (pow x 2) y)
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(pow x 2)
(+ (* -1 y) (pow x 2))
(+ (* -1 y) (pow x 2))
(+ (* -1 y) (pow x 2))
(* -1 y)
(* y (- (/ (pow x 2) y) 1))
(* y (- (/ (pow x 2) y) 1))
(* y (- (/ (pow x 2) y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))
(* -1/2 y)
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(* 1/2 (pow x 2))
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(* -1/2 y)
(* y (- (* 1/2 (/ (pow x 2) y)) 1/2))
(* y (- (* 1/2 (/ (pow x 2) y)) 1/2))
(* y (- (* 1/2 (/ (pow x 2) y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 y)
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 (pow x 2))
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
(* 1/2 x)
Outputs
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- (pow x 2) y)
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(- (pow x 2) y)
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(- (pow x 2) y)
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(* (pow x 2) (+ 1 (* -1 (/ y (pow x 2)))))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(pow x 2)
(fma.f64 x x #s(literal 0 binary64))
(+ (* -1 y) (pow x 2))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(+ (* -1 y) (pow x 2))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(+ (* -1 y) (pow x 2))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ (pow x 2) y) 1))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(* y (- (/ (pow x 2) y) 1))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(* y (- (/ (pow x 2) y) 1))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(* -1 (* y (+ 1 (* -1 (/ (pow x 2) y)))))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) y)
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64))
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64))
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64))
(* 1/2 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64))
(* 1/2 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64))
(* (pow x 2) (+ 1/2 (* -1/2 (/ y (pow x 2)))))
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64))
(* 1/2 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64))
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64))
(+ (* -1/2 y) (* 1/2 (pow x 2)))
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* y (- (* 1/2 (/ (pow x 2) y)) 1/2))
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64))
(* y (- (* 1/2 (/ (pow x 2) y)) 1/2))
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64))
(* y (- (* 1/2 (/ (pow x 2) y)) 1/2))
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1 (* y (+ 1/2 (* -1/2 (/ (pow x 2) y)))))
(fma.f64 (-.f64 y (fma.f64 x x #s(literal 0 binary64))) #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* -1/2 y)
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 y)
(fma.f64 y #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 (pow x 2))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))

eval49.0ms (1%)

Memory
29.6MiB live, 101.9MiB allocated
Compiler

Compiled 12 827 to 1 073 computations (91.6% saved)

prune69.0ms (1.5%)

Memory
1.7MiB live, 118.9MiB allocated
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New4550455
Fresh000
Picked044
Done000
Total4554459
Accuracy
100.0%
Counts
459 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓54.8%
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
✓2.2%
(*.f64 y #s(literal 1/2 binary64))
✓46.8%
(*.f64 y #s(literal -1/2 binary64))
✓100.0%
(*.f64 #s(literal 1/2 binary64) (fma.f64 x x (neg.f64 y)))
Compiler

Compiled 71 to 40 computations (43.7% saved)

regimes16.0ms (0.3%)

Memory
-5.7MiB live, 33.3MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y #s(literal 1/2 binary64))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
(*.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x x (neg.f64 y)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x x (-.f64 #s(literal 0 binary64) y)))
Outputs
(*.f64 #s(literal 1/2 binary64) (fma.f64 x x (neg.f64 y)))
Calls

5 calls:

4.0ms
(-.f64 (*.f64 x x) y)
3.0ms
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y))
3.0ms
y
3.0ms
x
3.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y))
100.0%1(-.f64 (*.f64 x x) y)
100.0%1(*.f64 x x)
Compiler

Compiled 27 to 17 computations (37% saved)

regimes23.0ms (0.5%)

Memory
-11.7MiB live, 31.2MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y #s(literal 1/2 binary64))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
(*.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y))
Outputs
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y))
Calls

5 calls:

12.0ms
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y))
3.0ms
y
3.0ms
x
2.0ms
(-.f64 (*.f64 x x) y)
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y))
100.0%1(-.f64 (*.f64 x x) y)
100.0%1(*.f64 x x)
Compiler

Compiled 27 to 17 computations (37% saved)

regimes12.0ms (0.3%)

Memory
-11.4MiB live, 27.9MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y #s(literal 1/2 binary64))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
(*.f64 #s(literal 1/2 binary64) (fma.f64 x x #s(literal 0 binary64)))
Outputs
(*.f64 y #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
Calls

5 calls:

3.0ms
x
2.0ms
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y))
2.0ms
y
2.0ms
(-.f64 (*.f64 x x) y)
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
84.0%2x
67.9%3y
79.3%2(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y))
79.3%2(-.f64 (*.f64 x x) y)
84.0%2(*.f64 x x)
Compiler

Compiled 27 to 17 computations (37% saved)

regimes9.0ms (0.2%)

Memory
23.1MiB live, 23.1MiB allocated
Accuracy

Total -29.0b remaining (-85.1%)

Threshold costs -29b (-85.1%)

Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 y #s(literal -1/2 binary64))
(*.f64 y #s(literal 1/2 binary64))
(fma.f64 y #s(literal -1/2 binary64) #s(literal 0 binary64))
Outputs
(*.f64 y #s(literal -1/2 binary64))
Calls

5 calls:

2.0ms
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y))
2.0ms
y
2.0ms
x
2.0ms
(-.f64 (*.f64 x x) y)
2.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
46.8%1y
46.8%1(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y))
46.8%1(-.f64 (*.f64 x x) y)
46.8%1x
46.8%1(*.f64 x x)
Compiler

Compiled 27 to 17 computations (37% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.8529770984729865e-23
1.0211572014498689e-10
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify8.0ms (0.2%)

Memory
-23.7MiB live, 15.5MiB allocated
Algorithm
1×egg-herbie
Rules
12×*-commutative_binary64
4×+-commutative_binary64
4×sub-neg_binary64
2×neg-sub0_binary64
2×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01631
12631
22931
33031
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (fma.f64 x x (neg.f64 y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y))
(if (<=.f64 (*.f64 x x) #s(literal 6805647338418769/340282366920938463463374607431768211456 binary64)) (*.f64 y #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(*.f64 y #s(literal -1/2 binary64))
Outputs
(*.f64 #s(literal 1/2 binary64) (fma.f64 x x (neg.f64 y)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x x (-.f64 #s(literal 0 binary64) y)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 x x) y))
(if (<=.f64 (*.f64 x x) #s(literal 6805647338418769/340282366920938463463374607431768211456 binary64)) (*.f64 y #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))
(if (<=.f64 (*.f64 x x) #s(literal 6805647338418769/340282366920938463463374607431768211456 binary64)) (*.f64 y #s(literal -1/2 binary64)) (*.f64 x (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 y #s(literal -1/2 binary64))

soundness621.0ms (13%)

Memory
12.0MiB live, 361.7MiB allocated
Rules
6 946×accelerator-lowering-fma.f32
6 946×accelerator-lowering-fma.f64
6 050×accelerator-lowering-fma.f32
6 050×accelerator-lowering-fma.f64
5 028×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035327
1102327
2297327
3999291
42509291
55004291
67180291
08138291
01325
17825
292424
01015022
0615
12415
217515
3163815
0854015
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 90 to 59 computations (34.4% saved)

preprocess56.0ms (1.2%)

Memory
-4.0MiB live, 94.1MiB allocated
Remove

(abs x)

Compiler

Compiled 146 to 88 computations (39.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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