Data.Histogram.Bin.BinF:$cfromIndex from histogram-fill-0.8.4.1

Time bar (total: 6.7s)

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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 11 to 10 computations (9.1% saved)

sample931.0ms (13.8%)

Memory
9.3MiB live, 1 180.0MiB allocated
Samples
632.0ms8 255×0valid
0.0ms1×1valid
Precisions
Click to see histograms. Total time spent on operations: 263.0ms
ival-mult: 101.0ms (38.5% of total)
ival-add: 79.0ms (30.1% of total)
ival-div: 70.0ms (26.7% of total)
ival-true: 6.0ms (2.3% of total)
exact: 5.0ms (1.9% of total)
ival-assert: 3.0ms (1.1% of total)
adjust: 0.0ms (0% of total)
Bogosity

preprocess81.0ms (1.2%)

Memory
10.8MiB live, 49.5MiB allocated
Algorithm
2×egg-herbie
Rules
412×distribute-rgt-in
356×sub-neg
278×unsub-neg
242×cancel-sign-sub
240×associate-+l-
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03397
19291
223890
366876
4119972
5178770
6225670
7244470
8249270
9250070
10250070
11250070
089
1139
2209
3229
0228
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(+ (+ (/ x 2) (* y x)) z)
Outputs
(+ (+ (/ x 2) (* y x)) z)
(+.f64 (/.f64 x #s(literal 2 binary64)) (fma.f64 x y z))
Call 2
Inputs
(+ (+ (/ x 2) (* y x)) z)
(+ (+ (/ (neg x) 2) (* y (neg x))) z)
(+ (+ (/ x 2) (* (neg y) x)) z)
(+ (+ (/ x 2) (* y x)) (neg z))
(neg (+ (+ (/ (neg x) 2) (* y (neg x))) z))
(neg (+ (+ (/ x 2) (* (neg y) x)) z))
(neg (+ (+ (/ x 2) (* y x)) (neg z)))
(+ (+ (/ y 2) (* x y)) z)
(+ (+ (/ z 2) (* y z)) x)
(+ (+ (/ x 2) (* z x)) y)
Outputs
(+ (+ (/ x 2) (* y x)) z)
(+ (* x (+ y 1/2)) z)
(+ (+ (/ (neg x) 2) (* y (neg x))) z)
(+ z (* x (- -1/2 y)))
(+ (+ (/ x 2) (* (neg y) x)) z)
(+ z (* x (- 1/2 y)))
(+ (+ (/ x 2) (* y x)) (neg z))
(- (* x (+ y 1/2)) z)
(neg (+ (+ (/ (neg x) 2) (* y (neg x))) z))
(- (* x (+ y 1/2)) z)
(neg (+ (+ (/ x 2) (* (neg y) x)) z))
(- (* x (+ y -1/2)) z)
(neg (+ (+ (/ x 2) (* y x)) (neg z)))
(+ z (* x (- -1/2 y)))
(+ (+ (/ y 2) (* x y)) z)
(+ z (* y (+ x 1/2)))
(+ (+ (/ z 2) (* y z)) x)
(+ x (* z (+ y 1/2)))
(+ (+ (/ x 2) (* z x)) y)
(+ y (* x (+ z 1/2)))

explain148.0ms (2.2%)

Memory
18.0MiB live, 179.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
00-0-#s(literal 2 binary64)
00-0-y
00-0-(/.f64 x #s(literal 2 binary64))
00-0-z
00-0-(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
00-0-(*.f64 y 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
34.0ms512×0valid
Compiler

Compiled 80 to 36 computations (55% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-add: 4.0ms (32% of total)
ival-mult: 4.0ms (32% of total)
ival-div: 3.0ms (24% 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
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune27.0ms (0.4%)

Memory
-39.8MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify5.0ms (0.1%)

Memory
8.8MiB live, 8.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y x)
✓cost-diff0
(/.f64 x #s(literal 2 binary64))
✓cost-diff0
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
✓cost-diff128
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
Rules
24×+-lowering-+.f64
24×+-lowering-+.f32
12×accelerator-lowering-fma.f32
12×accelerator-lowering-fma.f64
10×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0826
11326
22026
32226
02224
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (+ (/ x 2) (* y x)) z)
(+ (/ x 2) (* y x))
(/ x 2)
x
2
(* y x)
y
z
Outputs
(+ (+ (/ x 2) (* y x)) z)
(+.f64 (/.f64 x #s(literal 2 binary64)) (fma.f64 x y z))
(+ (/ x 2) (* y x))
(fma.f64 x y (/.f64 x #s(literal 2 binary64)))
(/ x 2)
(/.f64 x #s(literal 2 binary64))
x
2
#s(literal 2 binary64)
(* y x)
(*.f64 x y)
y
z

localize36.0ms (0.5%)

Memory
5.4MiB live, 44.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 x #s(literal 2 binary64))
✓accuracy100.0%
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
✓accuracy100.0%
(*.f64 y x)
✓accuracy100.0%
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
Samples
28.0ms256×0valid
Compiler

Compiled 28 to 10 computations (64.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 16.0ms (76.6% of total)
ival-div: 2.0ms (9.6% of total)
ival-add: 2.0ms (9.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
12.2MiB live, 12.2MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (+ (/ x 2) (* y x))>
#<alt (+ (+ (/ x 2) (* y x)) z)>
#<alt (/ x 2)>
#<alt (* y x)>
Outputs
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 y))>
#<alt (* -1 (* x (- (* -1 y) 1/2)))>
#<alt (* -1 (* x (- (* -1 y) 1/2)))>
#<alt (* -1 (* x (- (* -1 y) 1/2)))>
#<alt (* -1 (* x (- (* -1 y) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ (* 1/2 x) (* x y))>
#<alt (+ (* 1/2 x) (* x y))>
#<alt (+ (* 1/2 x) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* 1/2 (/ x y))))>
#<alt (* y (+ x (* 1/2 (/ x y))))>
#<alt (* y (+ x (* 1/2 (/ x y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))>
#<alt z>
#<alt (+ z (* x (+ 1/2 y)))>
#<alt (+ z (* x (+ 1/2 y)))>
#<alt (+ z (* x (+ 1/2 y)))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 (+ y (/ z x))))>
#<alt (* x (+ 1/2 (+ y (/ z x))))>
#<alt (* x (+ 1/2 (+ y (/ z x))))>
#<alt (* -1 (* x (- (* -1 y) 1/2)))>
#<alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))>
#<alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))>
#<alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))>
#<alt (+ z (* 1/2 x))>
#<alt (+ z (+ (* 1/2 x) (* x y)))>
#<alt (+ z (+ (* 1/2 x) (* x y)))>
#<alt (+ z (+ (* 1/2 x) (* x y)))>
#<alt (* x y)>
#<alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))>
#<alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))>
#<alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))>
#<alt (+ (* 1/2 x) (* x y))>
#<alt (+ z (+ (* 1/2 x) (* x y)))>
#<alt (+ z (+ (* 1/2 x) (* x y)))>
#<alt (+ z (+ (* 1/2 x) (* x y)))>
#<alt z>
#<alt (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))>
#<alt (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))>
#<alt (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))>
#<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)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
Calls

24 calls:

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

rewrite728.0ms (10.8%)

Memory
-2.5MiB live, 611.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 074×accelerator-lowering-fma.f32
7 074×accelerator-lowering-fma.f64
4 356×*-lowering-*.f32
4 356×*-lowering-*.f64
2 578×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
14818
244818
3605418
0801717
Stop Event
1×iter limit
1×node limit
Counts
4 → 242
Calls
Call 1
Inputs
(+ (/ x 2) (* y x))
(+ (+ (/ x 2) (* y x)) z)
(/ x 2)
(* y x)
Outputs
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y))
(+.f64 (*.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
(+.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) x)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(-.f64 (*.f64 x y) (*.f64 x #s(literal -1/2 binary64)))
(-.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) x)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (-.f64 y #s(literal 1/2 binary64)))) (/.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) x)) (*.f64 x (-.f64 y #s(literal 1/2 binary64)))))
(fma.f64 x y (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 x #s(literal 1/2 binary64) (*.f64 x y))
(fma.f64 x (/.f64 (*.f64 #s(literal 1/4 binary64) x) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 x y))
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 y x (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64) (*.f64 x y))
(fma.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (*.f64 x y))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x y))
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)) (*.f64 x y))
(fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x) (*.f64 x y))
(fma.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (/.f64 x x) (/.f64 (*.f64 #s(literal 1/4 binary64) x) (-.f64 #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) x) (/.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1/2 binary64) y)) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 x y))
(fma.f64 (*.f64 #s(literal 1 binary64) y) x (*.f64 x #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) x)) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))) (*.f64 x (+.f64 y #s(literal 1/2 binary64))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(fma.f64 (/.f64 (*.f64 x (*.f64 #s(literal 1/4 binary64) x)) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))))) (fma.f64 x (*.f64 #s(literal 1/4 binary64) x) (*.f64 (*.f64 x y) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) (neg.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64))) (fma.f64 (*.f64 x y) (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 x (*.f64 #s(literal 1/4 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 y y) #s(literal 1/4 binary64)))))
(/.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x y) (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 x (*.f64 #s(literal 1/4 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 y y)))) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)))) (*.f64 (fma.f64 (*.f64 x y) (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 x (*.f64 #s(literal 1/4 binary64) x))) (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)))))))
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 (*.f64 x y) (*.f64 x (-.f64 y #s(literal 1/2 binary64))) (*.f64 x (*.f64 #s(literal 1/4 binary64) x))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/8 binary64) (*.f64 y (*.f64 y y))))))
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(*.f64 (/.f64 (*.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) z))) (fma.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) (*.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) (neg.f64 (*.f64 z (*.f64 z z))))) (fma.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) (*.f64 z (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z))))
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -1/2 binary64)))
(neg.f64 (*.f64 x #s(literal -1/2 binary64)))
(neg.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 x #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 x y)
(*.f64 y x)
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (*.f64 #s(literal 1 binary64) y) x)

simplify381.0ms (5.6%)

Memory
-14.6MiB live, 344.0MiB allocated
Algorithm
1×egg-herbie
Rules
6 434×accelerator-lowering-fma.f32
6 434×accelerator-lowering-fma.f64
2 474×*-lowering-*.f32
2 474×*-lowering-*.f64
1 356×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057440
1174440
2488440
31310440
43612440
56659440
08189412
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
Calls
Call 1
Inputs
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* x (+ 1/2 y))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (* -1 y) 1/2)))
(* 1/2 x)
(+ (* 1/2 x) (* x y))
(+ (* 1/2 x) (* x y))
(+ (* 1/2 x) (* x y))
(* x y)
(* y (+ x (* 1/2 (/ x y))))
(* y (+ x (* 1/2 (/ x y))))
(* y (+ x (* 1/2 (/ x y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
z
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(* x (+ 1/2 y))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(+ z (* 1/2 x))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(* x y)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(+ (* 1/2 x) (* x y))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
z
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
z
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* 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)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
(* x (+ 1/2 y))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(* x (+ 1/2 y))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(* x (+ 1/2 y))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(* x (+ 1/2 y))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(* x (+ 1/2 y))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(* x (+ 1/2 y))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(* x (+ 1/2 y))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(* x (+ 1/2 y))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(* -1 (* x (- (* -1 y) 1/2)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(* -1 (* x (- (* -1 y) 1/2)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(* -1 (* x (- (* -1 y) 1/2)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(* -1 (* x (- (* -1 y) 1/2)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(* 1/2 x)
(fma.f64 x #s(literal 1/2 binary64) #s(literal 0 binary64))
(+ (* 1/2 x) (* x y))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(+ (* 1/2 x) (* x y))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(+ (* 1/2 x) (* x y))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (* 1/2 (/ x y))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(* y (+ x (* 1/2 (/ x y))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(* y (+ x (* 1/2 (/ x y))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1/2 (/ x y)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
z
(+ z (* x (+ 1/2 y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (* x (+ 1/2 y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (* x (+ 1/2 y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x (+ 1/2 y))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* x (- (* -1 y) 1/2)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (* 1/2 x))
(fma.f64 x #s(literal 1/2 binary64) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ (* 1/2 x) (* x y))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
z
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
z
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* 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))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))

eval131.0ms (1.9%)

Memory
9.3MiB live, 85.7MiB allocated
Compiler

Compiled 8 091 to 743 computations (90.8% saved)

prune40.0ms (0.6%)

Memory
-10.5MiB live, 110.5MiB allocated
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New3335338
Fresh000
Picked101
Done000
Total3345339
Accuracy
100.0%
Counts
339 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 (+.f64 y #s(literal 1/2 binary64)) x z)
▶100.0%
(fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z))
▶39.2%
(fma.f64 x y #s(literal 0 binary64))
▶62.2%
(fma.f64 x #s(literal 1/2 binary64) z)
▶30.5%
z
Compiler

Compiled 74 to 50 computations (32.4% saved)

simplify6.0ms (0.1%)

Memory
13.3MiB live, 13.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 y #s(literal 1/2 binary64))
✓cost-diff0
(fma.f64 (+.f64 y #s(literal 1/2 binary64)) x z)
✓cost-diff0
(fma.f64 x y #s(literal 0 binary64))
✓cost-diff0
(fma.f64 x #s(literal 1/2 binary64) z)
✓cost-diff0
(fma.f64 x #s(literal 1/2 binary64) z)
✓cost-diff192
(fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z))
Rules
56×+-lowering-+.f64
56×+-lowering-+.f32
40×accelerator-lowering-fma.f32
40×accelerator-lowering-fma.f64
26×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01449
12545
24045
36045
46045
06041
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* y x) (+ (* x 1/2) z))
y
x
(+ (* x 1/2) z)
1/2
z
z
(+ (* x 1/2) z)
x
1/2
z
(+ (* x y) 0)
x
y
0
(+ (* (+ y 1/2) x) z)
(+ y 1/2)
y
1/2
x
z
Outputs
(+ (* y x) (+ (* x 1/2) z))
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)
y
x
(+ (* x 1/2) z)
(fma.f64 x #s(literal 1/2 binary64) z)
1/2
#s(literal 1/2 binary64)
z
z
(+ (* x 1/2) z)
(fma.f64 x #s(literal 1/2 binary64) z)
x
1/2
#s(literal 1/2 binary64)
z
(+ (* x y) 0)
(fma.f64 y x #s(literal 0 binary64))
x
y
0
#s(literal 0 binary64)
(+ (* (+ y 1/2) x) z)
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)
(+ y 1/2)
(+.f64 y #s(literal 1/2 binary64))
y
1/2
#s(literal 1/2 binary64)
x
z

localize58.0ms (0.9%)

Memory
-6.4MiB live, 73.4MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 y #s(literal 1/2 binary64))
✓accuracy100.0%
(fma.f64 (+.f64 y #s(literal 1/2 binary64)) x z)
✓accuracy100.0%
(fma.f64 x y #s(literal 0 binary64))
✓accuracy100.0%
(fma.f64 x #s(literal 1/2 binary64) z)
✓accuracy100.0%
(fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z))
✓accuracy100.0%
(fma.f64 x #s(literal 1/2 binary64) z)
Samples
44.0ms256×0valid
Compiler

Compiled 45 to 16 computations (64.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-add: 25.0ms (77.5% of total)
ival-mult: 6.0ms (18.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB allocated
Counts
5 → 132
Calls
Call 1
Inputs
#<alt (+ (* y x) (+ (* x 1/2) z))>
#<alt (+ (* x 1/2) z)>
#<alt (+ (* x y) 0)>
#<alt (+ (* (+ y 1/2) x) z)>
#<alt (+ y 1/2)>
Outputs
#<alt (+ z (* 1/2 x))>
#<alt (+ z (+ (* 1/2 x) (* x y)))>
#<alt (+ z (+ (* 1/2 x) (* x y)))>
#<alt (+ z (+ (* 1/2 x) (* x y)))>
#<alt (* x y)>
#<alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))>
#<alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))>
#<alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))>
#<alt z>
#<alt (+ z (* x (+ 1/2 y)))>
#<alt (+ z (* x (+ 1/2 y)))>
#<alt (+ z (* x (+ 1/2 y)))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 (+ y (/ z x))))>
#<alt (* x (+ 1/2 (+ y (/ z x))))>
#<alt (* x (+ 1/2 (+ y (/ z x))))>
#<alt (* -1 (* x (- (* -1 y) 1/2)))>
#<alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))>
#<alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))>
#<alt (* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))>
#<alt (+ (* 1/2 x) (* x y))>
#<alt (+ z (+ (* 1/2 x) (* x y)))>
#<alt (+ z (+ (* 1/2 x) (* x y)))>
#<alt (+ z (+ (* 1/2 x) (* x y)))>
#<alt z>
#<alt (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))>
#<alt (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))>
#<alt (* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))>
#<alt z>
#<alt (+ z (* 1/2 x))>
#<alt (+ z (* 1/2 x))>
#<alt (+ z (* 1/2 x))>
#<alt (* 1/2 x)>
#<alt (* x (+ 1/2 (/ z x)))>
#<alt (* x (+ 1/2 (/ z x)))>
#<alt (* x (+ 1/2 (/ z x)))>
#<alt (* 1/2 x)>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1/2)))>
#<alt (* -1 (* x (- (* -1 (/ z x)) 1/2)))>
#<alt (* 1/2 x)>
#<alt (+ z (* 1/2 x))>
#<alt (+ z (* 1/2 x))>
#<alt (+ z (* 1/2 x))>
#<alt z>
#<alt (* z (+ 1 (* 1/2 (/ x z))))>
#<alt (* z (+ 1 (* 1/2 (/ x z))))>
#<alt (* z (+ 1 (* 1/2 (/ x z))))>
#<alt z>
#<alt (* -1 (* z (- (* -1/2 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1/2 (/ x z)) 1)))>
#<alt (* -1 (* z (- (* -1/2 (/ x z)) 1)))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (+ z (* 1/2 x))>
#<alt (+ z (+ (* 1/2 x) (* x y)))>
#<alt (+ z (+ (* 1/2 x) (* x y)))>
#<alt (+ z (+ (* 1/2 x) (* x y)))>
#<alt (* x y)>
#<alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))>
#<alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))>
#<alt (* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))>
#<alt z>
#<alt (+ z (* x (+ 1/2 y)))>
#<alt (+ z (* x (+ 1/2 y)))>
#<alt (+ z (* x (+ 1/2 y)))>
#<alt (* x (+ 1/2 y))>
#<alt (* x (+ 1/2 (+ y (/ z x))))>
#<alt (* x (+ 1/2 (+ y (/ z x))))>
#<alt (* x (+ 1/2 (+ y (/ z x))))>
#<alt (* x (+ 1/2 y))>
#<alt (* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))>
#<alt (* x (+ 1/2 y))>
#<alt (+ z (* x (+ 1/2 y)))>
#<alt (+ z (* x (+ 1/2 y)))>
#<alt (+ z (* x (+ 1/2 y)))>
#<alt z>
#<alt (* z (+ 1 (/ (* x (+ 1/2 y)) z)))>
#<alt (* z (+ 1 (/ (* x (+ 1/2 y)) z)))>
#<alt (* z (+ 1 (/ (* x (+ 1/2 y)) z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))>
#<alt 1/2>
#<alt (+ 1/2 y)>
#<alt (+ 1/2 y)>
#<alt (+ 1/2 y)>
#<alt y>
#<alt (* y (+ 1 (* 1/2 (/ 1 y))))>
#<alt (* y (+ 1 (* 1/2 (/ 1 y))))>
#<alt (* y (+ 1 (* 1/2 (/ 1 y))))>
#<alt y>
#<alt (* y (+ 1 (* 1/2 (/ 1 y))))>
#<alt (* y (+ 1 (* 1/2 (/ 1 y))))>
#<alt (* y (+ 1 (* 1/2 (/ 1 y))))>
Calls

33 calls:

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

rewrite1.0s (15%)

Memory
-49.1MiB live, 774.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8 606×accelerator-lowering-fma.f32
8 606×accelerator-lowering-fma.f64
3 912×/-lowering-/.f32
3 912×/-lowering-/.f64
3 864×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01429
19125
287925
0850022
Stop Event
1×iter limit
1×node limit
Counts
5 → 806
Calls
Call 1
Inputs
(+ (* y x) (+ (* x 1/2) z))
(+ (* x 1/2) z)
(+ (* x y) 0)
(+ (* (+ y 1/2) x) z)
(+ y 1/2)
Outputs
(+.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 x #s(literal 1/2 binary64) z))
(+.f64 (*.f64 x #s(literal 1/2 binary64)) (+.f64 z (fma.f64 y x #s(literal 0 binary64))))
(+.f64 z (*.f64 x (+.f64 y #s(literal 1/2 binary64))))
(+.f64 (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 y x #s(literal 0 binary64)))
(+.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z))
(+.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) z)
(+.f64 (/.f64 (*.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) z))) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) z)))))
(+.f64 (/.f64 (fma.f64 y (fma.f64 x (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 x #s(literal 1/2 binary64) z))) (neg.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 x #s(literal 1/2 binary64) z)) (-.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 x #s(literal 1/2 binary64) z)))))
(+.f64 (fma.f64 y x z) (*.f64 x #s(literal 1/2 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) z))) (/.f64 (*.f64 z z) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) z))))
(-.f64 (/.f64 (fma.f64 y (fma.f64 x (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 x #s(literal 1/2 binary64) z))) (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 x #s(literal 1/2 binary64) z)) (-.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 x #s(literal 1/2 binary64) z))))
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) (/.f64 (*.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) (-.f64 z (*.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(-.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 x #s(literal 1/2 binary64) z)) (-.f64 (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 y x #s(literal 0 binary64)))) (/.f64 (fma.f64 y (fma.f64 x (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 y x #s(literal 0 binary64)))))
(fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z))
(fma.f64 x y (fma.f64 x #s(literal 1/2 binary64) z))
(fma.f64 x #s(literal 1/2 binary64) (+.f64 z (fma.f64 y x #s(literal 0 binary64))))
(fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z)
(fma.f64 (fma.f64 y x #s(literal 0 binary64)) (/.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y x #s(literal 0 binary64))) (fma.f64 x #s(literal 1/2 binary64) z))
(fma.f64 #s(literal 1/2 binary64) x (+.f64 z (fma.f64 y x #s(literal 0 binary64))))
(fma.f64 (+.f64 y #s(literal 1/2 binary64)) x z)
(fma.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) (*.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) (*.f64 z (-.f64 z (*.f64 x (+.f64 y #s(literal 1/2 binary64))))))) #s(literal 0 binary64))
(fma.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) (*.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 (*.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) (*.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) z))))) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) z))) (neg.f64 (/.f64 (*.f64 z z) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) z)))))
(fma.f64 (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y (fma.f64 x (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 x (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x #s(literal 1/2 binary64) z))
(fma.f64 (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y (fma.f64 x (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) z) (*.f64 (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 x #s(literal 1/2 binary64) z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) z) (-.f64 (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 y x #s(literal 0 binary64))) (fma.f64 y (fma.f64 x (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y (fma.f64 x (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) z) (*.f64 (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 x #s(literal 1/2 binary64) z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 y (fma.f64 x (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 1/2 binary64) z)))))) #s(literal 0 binary64))
(fma.f64 (fma.f64 y (fma.f64 x (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 0 binary64))) (fma.f64 x #s(literal 1/2 binary64) z))
(fma.f64 (fma.f64 y (fma.f64 x (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 x #s(literal 1/2 binary64) z))) (neg.f64 (/.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 x #s(literal 1/2 binary64) z)) (-.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 x #s(literal 1/2 binary64) z)))))
(fma.f64 (fma.f64 z (*.f64 z z) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (fma.f64 y x #s(literal 0 binary64)))
(fma.f64 (fma.f64 z (*.f64 z z) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 z (*.f64 x #s(literal -1/2 binary64)))))) (fma.f64 y x #s(literal 0 binary64)))
(fma.f64 (*.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) z))) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (-.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 x #s(literal 1/2 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 x #s(literal 1/2 binary64) z))) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) z)) (fma.f64 y x #s(literal 0 binary64)))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y (fma.f64 x (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 z (-.f64 z (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 (fma.f64 y (fma.f64 x (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 z (*.f64 z z) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 x (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 z (-.f64 z (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y (fma.f64 x (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) z) (*.f64 (fma.f64 y (fma.f64 x (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (fma.f64 x (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) z))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 y (fma.f64 x (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 z (-.f64 z (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 z (*.f64 z z) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 z (-.f64 z (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))) #s(literal 0 binary64))
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(*.f64 (fma.f64 (fma.f64 z (*.f64 z z) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 y x #s(literal 0 binary64)) (*.f64 (fma.f64 z (-.f64 z (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (fma.f64 y (fma.f64 x (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (-.f64 z (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (fma.f64 y x #s(literal 0 binary64)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 z z))) (fma.f64 y (fma.f64 x (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) z) (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y (fma.f64 x (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) z) (fma.f64 y (fma.f64 x (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (-.f64 #s(literal 0 binary64) (*.f64 z z))) (fma.f64 y x #s(literal 0 binary64)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) z) (fma.f64 y (fma.f64 x (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) z) (fma.f64 y x #s(literal 0 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z (*.f64 z z) (*.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) (*.f64 (*.f64 x (+.f64 y #s(literal 1/2 binary64))) (*.f64 x (+.f64 y #s(literal 1/2 binary64))))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 (+.f64 y #s(literal 1/2 binary64)) (*.f64 x (+.f64 y #s(literal 1/2 binary64)))) (*.f64 z (-.f64 z (*.f64 x (+.f64 y #s(literal 1/2 binary64)))))))))
(*.f64 (*.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) z)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) z)))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 y (fma.f64 x (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) z) (*.f64 (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 x #s(literal 1/2 binary64) z))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x #s(literal 1/2 binary64) z) (-.f64 (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 y x #s(literal 0 binary64))) (fma.f64 y (fma.f64 x (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))))))
(*.f64 (*.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (fma.f64 y (neg.f64 x) (fma.f64 x #s(literal 1/2 binary64) z))) (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 x) (fma.f64 x #s(literal 1/2 binary64) z))))
(*.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z))
(*.f64 (*.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (-.f64 z (*.f64 x (+.f64 y #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 x (+.f64 y #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (fma.f64 x (+.f64 y #s(literal 1/2 binary64)) z) (-.f64 (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 y x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 y x #s(literal 0 binary64)))))
(+.f64 y #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) y)
(+.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal -1/2 binary64)))))
(-.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal -1/2 binary64)))))
(neg.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 y y #s(literal 1/4 binary64)) (*.f64 y #s(literal -1/2 binary64))))))
(neg.f64 (/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64))) (+.f64 (fma.f64 y y #s(literal 1/4 binary64)) (*.f64 y #s(literal -1/2 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal -1/4 binary64))) (+.f64 y #s(literal -1/2 binary64))))
(/.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)) (+.f64 (fma.f64 y y #s(literal 1/4 binary64)) (*.f64 y #s(literal -1/2 binary64))))
(/.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 y y (*.f64 y #s(literal -1/2 binary64)))))
(/.f64 (fma.f64 y y #s(literal -1/4 binary64)) (+.f64 y #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 y y #s(literal 1/4 binary64)) (*.f64 y #s(literal -1/2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 y y (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal -1/4 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 y y (*.f64 y #s(literal -1/2 binary64)))) (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (-.f64 #s(literal 1/4 binary64) (*.f64 y y))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (-.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 y #s(literal -1/2 binary64))) (*.f64 (+.f64 y #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (+.f64 y #s(literal -1/2 binary64)) (+.f64 y #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 y y #s(literal 1/4 binary64)) (*.f64 y #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal -1/4 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal 1/2 binary64) y)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal -1/2 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1/2 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal -1/2 binary64))) (fma.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal -1/2 binary64))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1/2 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal -1/2 binary64)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal -1/2 binary64))))) (+.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 y #s(literal -1/2 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y #s(literal 1/4 binary64)) (*.f64 y #s(literal -1/2 binary64)))))
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 y y (*.f64 y #s(literal -1/2 binary64))))))
(*.f64 (fma.f64 y y #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1/2 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y y) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 y y #s(literal 1/4 binary64)) (*.f64 y #s(literal -1/2 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) y)))

simplify228.0ms (3.4%)

Memory
17.3MiB live, 487.8MiB allocated
Algorithm
1×egg-herbie
Rules
6 466×accelerator-lowering-fma.f32
6 466×accelerator-lowering-fma.f64
2 704×*-lowering-*.f32
2 704×*-lowering-*.f64
1 430×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077640
1247640
2645640
31781640
44520640
56822640
08096566
Stop Event
1×iter limit
1×node limit
Counts
132 → 132
Calls
Call 1
Inputs
(+ z (* 1/2 x))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(* x y)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
z
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(* x (+ 1/2 y))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* -1 (* x (- (* -1 y) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(+ (* 1/2 x) (* x y))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
z
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
z
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
z
(+ z (* 1/2 x))
(+ z (* 1/2 x))
(+ z (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (/ z x)))
(* x (+ 1/2 (/ z x)))
(* x (+ 1/2 (/ z x)))
(* 1/2 x)
(* -1 (* x (- (* -1 (/ z x)) 1/2)))
(* -1 (* x (- (* -1 (/ z x)) 1/2)))
(* -1 (* x (- (* -1 (/ z x)) 1/2)))
(* 1/2 x)
(+ z (* 1/2 x))
(+ z (* 1/2 x))
(+ z (* 1/2 x))
z
(* z (+ 1 (* 1/2 (/ x z))))
(* z (+ 1 (* 1/2 (/ x z))))
(* z (+ 1 (* 1/2 (/ x z))))
z
(* -1 (* z (- (* -1/2 (/ x z)) 1)))
(* -1 (* z (- (* -1/2 (/ x z)) 1)))
(* -1 (* z (- (* -1/2 (/ x z)) 1)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(+ z (* 1/2 x))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(+ z (+ (* 1/2 x) (* x y)))
(* x y)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
z
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(* x (+ 1/2 y))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 (+ y (/ z x))))
(* x (+ 1/2 y))
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))
(* x (+ 1/2 y))
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
(+ z (* x (+ 1/2 y)))
z
(* z (+ 1 (/ (* x (+ 1/2 y)) z)))
(* z (+ 1 (/ (* x (+ 1/2 y)) z)))
(* z (+ 1 (/ (* x (+ 1/2 y)) z)))
z
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))
1/2
(+ 1/2 y)
(+ 1/2 y)
(+ 1/2 y)
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
(* y (+ 1 (* 1/2 (/ 1 y))))
Outputs
(+ z (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
z
(+ z (* x (+ 1/2 y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (* x (+ 1/2 y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (* x (+ 1/2 y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x (+ 1/2 y))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* x (- (* -1 y) 1/2)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ z x))) 1/2)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ (* 1/2 x) (* x y))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
z
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* z (+ 1 (+ (* 1/2 (/ x z)) (/ (* x y) z))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
z
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* z (- (* -1 (/ (+ (* 1/2 x) (* x y)) z)) 1)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
z
(+ z (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x z)
(+ z (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x z)
(+ z (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x z)
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* x (+ 1/2 (/ z x)))
(fma.f64 #s(literal 1/2 binary64) x z)
(* x (+ 1/2 (/ z x)))
(fma.f64 #s(literal 1/2 binary64) x z)
(* x (+ 1/2 (/ z x)))
(fma.f64 #s(literal 1/2 binary64) x z)
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(* -1 (* x (- (* -1 (/ z x)) 1/2)))
(fma.f64 #s(literal 1/2 binary64) x z)
(* -1 (* x (- (* -1 (/ z x)) 1/2)))
(fma.f64 #s(literal 1/2 binary64) x z)
(* -1 (* x (- (* -1 (/ z x)) 1/2)))
(fma.f64 #s(literal 1/2 binary64) x z)
(* 1/2 x)
(fma.f64 #s(literal 1/2 binary64) x #s(literal 0 binary64))
(+ z (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x z)
(+ z (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x z)
(+ z (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x z)
z
(* z (+ 1 (* 1/2 (/ x z))))
(fma.f64 #s(literal 1/2 binary64) x z)
(* z (+ 1 (* 1/2 (/ x z))))
(fma.f64 #s(literal 1/2 binary64) x z)
(* z (+ 1 (* 1/2 (/ x z))))
(fma.f64 #s(literal 1/2 binary64) x z)
z
(* -1 (* z (- (* -1/2 (/ x z)) 1)))
(fma.f64 #s(literal 1/2 binary64) x z)
(* -1 (* z (- (* -1/2 (/ x z)) 1)))
(fma.f64 #s(literal 1/2 binary64) x z)
(* -1 (* z (- (* -1/2 (/ x z)) 1)))
(fma.f64 #s(literal 1/2 binary64) x z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ z (* 1/2 x))
(fma.f64 #s(literal 1/2 binary64) x z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (+ (* 1/2 x) (* x y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* y (+ x (+ (* 1/2 (/ x y)) (/ z y))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ z (* 1/2 x)) y)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
z
(+ z (* x (+ 1/2 y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (* x (+ 1/2 y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (* x (+ 1/2 y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x (+ 1/2 y))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x (+ 1/2 (+ y (/ z x))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x (+ 1/2 y))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* x (+ (* -1 (+ 1/2 y)) (* -1 (/ z x)))))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* x (+ 1/2 y))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) #s(literal 0 binary64))
(+ z (* x (+ 1/2 y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (* x (+ 1/2 y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(+ z (* x (+ 1/2 y)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
z
(* z (+ 1 (/ (* x (+ 1/2 y)) z)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* z (+ 1 (/ (* x (+ 1/2 y)) z)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* z (+ 1 (/ (* x (+ 1/2 y)) z)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
z
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
(* -1 (* z (- (* -1 (/ (* x (+ 1/2 y)) z)) 1)))
(fma.f64 x (+.f64 #s(literal 1/2 binary64) y) z)
1/2
#s(literal 1/2 binary64)
(+ 1/2 y)
(+.f64 #s(literal 1/2 binary64) y)
(+ 1/2 y)
(+.f64 #s(literal 1/2 binary64) y)
(+ 1/2 y)
(+.f64 #s(literal 1/2 binary64) y)
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(+.f64 #s(literal 1/2 binary64) y)
(* y (+ 1 (* 1/2 (/ 1 y))))
(+.f64 #s(literal 1/2 binary64) y)
(* y (+ 1 (* 1/2 (/ 1 y))))
(+.f64 #s(literal 1/2 binary64) y)
y
(* y (+ 1 (* 1/2 (/ 1 y))))
(+.f64 #s(literal 1/2 binary64) y)
(* y (+ 1 (* 1/2 (/ 1 y))))
(+.f64 #s(literal 1/2 binary64) y)
(* y (+ 1 (* 1/2 (/ 1 y))))
(+.f64 #s(literal 1/2 binary64) y)

eval132.0ms (2%)

Memory
24.5MiB live, 326.7MiB allocated
Compiler

Compiled 30 352 to 1 245 computations (95.9% saved)

prune83.0ms (1.2%)

Memory
-10.7MiB live, 267.9MiB allocated
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1 00821 010
Fresh000
Picked145
Done000
Total1 00961 015
Accuracy
100.0%
Counts
1 015 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 (+.f64 y #s(literal 1/2 binary64)) x z)
✓100.0%
(fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z))
▶67.8%
(fma.f64 y x z)
✓62.2%
(fma.f64 x #s(literal 1/2 binary64) z)
▶39.2%
(*.f64 y x)
✓30.5%
z
Compiler

Compiled 43 to 28 computations (34.9% saved)

simplify4.0ms (0.1%)

Memory
10.1MiB live, 10.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 y x z)
✓cost-diff0
(*.f64 y x)
Rules
4×+-lowering-+.f64
4×*-lowering-*.f32
4×*-lowering-*.f64
4×+-lowering-+.f32
4×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0513
1713
0712
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* y x)
y
x
(+ (* y x) z)
y
x
z
Outputs
(* y x)
(*.f64 y x)
y
x
(+ (* y x) z)
(fma.f64 y x z)
y
x
z

localize17.0ms (0.2%)

Memory
4.7MiB live, 44.8MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 y x z)
✓accuracy100.0%
(*.f64 y x)
Samples
11.0ms256×0valid
Compiler

Compiled 14 to 7 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 3.0ms (70.8% of total)
ival-add: 1.0ms (23.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated
Counts
2 → 60
Calls
Call 1
Inputs
#<alt (* y x)>
#<alt (+ (* y x) z)>
Outputs
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* x y)>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt z>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
Calls

15 calls:

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

rewrite583.0ms (8.6%)

Memory
-26.2MiB live, 1 062.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
18 338×accelerator-lowering-fma.f32
18 338×accelerator-lowering-fma.f64
4 372×*-lowering-*.f32
4 372×*-lowering-*.f64
3 924×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
1208
21508
314888
083077
Stop Event
1×iter limit
1×node limit
Counts
2 → 221
Calls
Call 1
Inputs
(* y x)
(+ (* y x) z)
Outputs
(exp.f64 (log.f64 (*.f64 y x)))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(*.f64 x y)
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 y x) z)
(+.f64 (*.f64 y x) (*.f64 #s(literal 1 binary64) z))
(+.f64 z (*.f64 y x))
(+.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (*.f64 y x) z)) (-.f64 #s(literal 0 binary64) (*.f64 z (/.f64 z (-.f64 (*.f64 y x) z)))))
(+.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (*.f64 y x) z)) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 z (-.f64 (*.f64 y x) z))))
(+.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (*.f64 y x) z)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
(+.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (*.f64 y x) z)) (*.f64 (neg.f64 (/.f64 (*.f64 z z) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))) (fma.f64 y x z)))
(+.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (*.f64 y x) z)) (*.f64 (neg.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y x))) (*.f64 z (*.f64 z z))))) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 z (fma.f64 y x z)))))
(+.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 y x))) (neg.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 z (*.f64 y x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x z))) #s(literal -1 binary64)))
(-.f64 (*.f64 y x) (-.f64 #s(literal 0 binary64) z))
(-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (*.f64 y x) z)) (*.f64 z (/.f64 z (-.f64 (*.f64 y x) z))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y x z)))
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (*.f64 y x))) (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 z (*.f64 y x))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) x) z)) (-.f64 #s(literal 0 binary64) (fma.f64 y x z)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y x))) (*.f64 y (*.f64 y (*.f64 x x))))) (-.f64 (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y x))) (*.f64 z (*.f64 z z)))) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) z) (*.f64 z z))) (/.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (-.f64 (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y x))) (*.f64 z (*.f64 z z)))) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) z) (*.f64 z z))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y x))) (*.f64 y (*.f64 y (*.f64 x x))))) (fma.f64 y (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 z z) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 z z))))) (-.f64 (*.f64 y x) z)) (/.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (fma.f64 y (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 z z) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 z z))))) (-.f64 (*.f64 y x) z)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y x)))) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 z z))) (-.f64 (*.f64 y x) z)) (/.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 z z))) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 z z))) (-.f64 (*.f64 y x) z)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) z) (*.f64 z z)))) (-.f64 #s(literal 0 binary64) (fma.f64 y x z)))
(-.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y x))) (*.f64 y (*.f64 y (*.f64 x x))))) (*.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) z) (*.f64 z z)) (-.f64 (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y x))) (*.f64 z (*.f64 z z))))) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) z) (*.f64 z z)) (-.f64 (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y x))) (*.f64 z (*.f64 z z))))))
(-.f64 (/.f64 (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y x))) (*.f64 y (*.f64 y (*.f64 x x))))) (*.f64 (-.f64 (*.f64 y x) z) (fma.f64 y (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 z z) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 z z)))))) (/.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))) (*.f64 (-.f64 (*.f64 y x) z) (fma.f64 y (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 z z) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 z z)))))))
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(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (*.f64 y x) z)) (*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (*.f64 y x) z)) (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (*.f64 y x) z)))) (*.f64 (*.f64 z (/.f64 z (-.f64 (*.f64 y x) z))) (*.f64 (*.f64 z (/.f64 z (-.f64 (*.f64 y x) z))) (*.f64 z (/.f64 z (-.f64 (*.f64 y x) z)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (/.f64 (*.f64 y x) (-.f64 (*.f64 y x) z)) (/.f64 (*.f64 y x) (-.f64 (*.f64 y x) z))) (fma.f64 (*.f64 z (/.f64 z (-.f64 (*.f64 y x) z))) (*.f64 z (/.f64 z (-.f64 (*.f64 y x) z))) (*.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (*.f64 y x) z)) (*.f64 z (/.f64 z (-.f64 (*.f64 y x) z))))))))
(*.f64 (*.f64 (fma.f64 (*.f64 y x) (/.f64 (*.f64 y x) (-.f64 (*.f64 y x) z)) (*.f64 z (/.f64 z (-.f64 (*.f64 y x) z)))) (fma.f64 y x z)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (/.f64 (*.f64 y x) (-.f64 (*.f64 y x) z)) (*.f64 z (/.f64 z (-.f64 (*.f64 y x) z))))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y x))) (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y x))) (*.f64 y (*.f64 y (*.f64 x x))))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y x))) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 z (*.f64 z z)) (-.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y x))))))))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y x z) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) z) (*.f64 z z))) (-.f64 (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y x))) (*.f64 z (*.f64 z z)))) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) z) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y x))) (*.f64 z (*.f64 z z)))))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y x z) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) z) (*.f64 z z))) (-.f64 (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y x))) (*.f64 z (*.f64 z z)))) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 z z) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 z z))))))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 z z))) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 z z))))
(*.f64 (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) z) (*.f64 z z))) (fma.f64 (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y x))) (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y x))) (*.f64 (*.f64 z (-.f64 z (*.f64 y x))) (*.f64 (*.f64 z (-.f64 z (*.f64 y x))) (*.f64 z (-.f64 z (*.f64 y x))))))) (fma.f64 y (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 z (-.f64 z (*.f64 y x))) (-.f64 (*.f64 z (-.f64 z (*.f64 y x))) (*.f64 y (*.f64 y (*.f64 x x)))))))
(*.f64 (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) z) (*.f64 z z))) (*.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) z) (*.f64 z z)) (fma.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z) (*.f64 (*.f64 y x) z)))) (fma.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z) (*.f64 (*.f64 y x) z)))
(*.f64 (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y x))) (*.f64 z (*.f64 z z)))) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 z (fma.f64 y x z))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) z) (*.f64 z z)) (fma.f64 (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y x))) (*.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y x))) (*.f64 y (*.f64 y (*.f64 x x))))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (*.f64 (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y x))) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 z (*.f64 z z)) (-.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y x))))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) z) (*.f64 z z)) (*.f64 (*.f64 (fma.f64 y x z) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) z) (*.f64 z z))) (-.f64 (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y x))) (*.f64 z (*.f64 z z))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y x))) (*.f64 z (*.f64 z z)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 y x) z) (*.f64 (*.f64 (fma.f64 y x z) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) z) (*.f64 z z))) (-.f64 (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y x))) (*.f64 z (*.f64 z z))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 (*.f64 y (*.f64 x x)) (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 z z) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 z z))))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 y x) z) (*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 z z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 z z))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x z)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x z)) #s(literal -1/2 binary64)))

simplify858.0ms (12.7%)

Memory
32.9MiB live, 750.0MiB allocated
Algorithm
1×egg-herbie
Rules
29 414×accelerator-lowering-fma.f32
29 414×accelerator-lowering-fma.f64
3 816×+-lowering-+.f64
3 816×+-lowering-+.f32
2 880×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030226
1103226
2284226
3738226
42050226
53217226
64792226
75788226
86461226
96720226
08734199
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
z
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
Outputs
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (/ z y)))
(fma.f64 x y z)
(* y (+ x (/ z y)))
(fma.f64 x y z)
(* y (+ x (/ z y)))
(fma.f64 x y z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(fma.f64 x y z)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(fma.f64 x y z)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(fma.f64 x y z)
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x (+ y (/ z x)))
(fma.f64 x y z)
(* x (+ y (/ z x)))
(fma.f64 x y z)
(* x (+ y (/ z x)))
(fma.f64 x y z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(fma.f64 x y z)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(fma.f64 x y z)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(fma.f64 x y z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
z
(* z (+ 1 (/ (* x y) z)))
(fma.f64 x y z)
(* z (+ 1 (/ (* x y) z)))
(fma.f64 x y z)
(* z (+ 1 (/ (* x y) z)))
(fma.f64 x y z)
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(fma.f64 x y z)
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(fma.f64 x y z)
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(fma.f64 x y z)

eval36.0ms (0.5%)

Memory
1.2MiB live, 73.9MiB allocated
Compiler

Compiled 10 007 to 513 computations (94.9% saved)

prune41.0ms (0.6%)

Memory
-6.5MiB live, 76.4MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New2810281
Fresh000
Picked022
Done044
Total2816287
Accuracy
100.0%
Counts
287 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 (+.f64 y #s(literal 1/2 binary64)) x z)
✓100.0%
(fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z))
✓67.8%
(fma.f64 y x z)
✓62.2%
(fma.f64 x #s(literal 1/2 binary64) z)
✓39.2%
(*.f64 y x)
✓30.5%
z
Compiler

Compiled 84 to 44 computations (47.6% saved)

regimes21.0ms (0.3%)

Memory
-1.3MiB live, 36.8MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
z
(*.f64 y x)
(fma.f64 x #s(literal 1/2 binary64) z)
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 y x z)
(fma.f64 (+.f64 y #s(literal 1/2 binary64)) x z)
(fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z))
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
Outputs
(fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z))
Calls

5 calls:

8.0ms
z
3.0ms
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
3.0ms
x
3.0ms
y
3.0ms
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
100.0%1(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes54.0ms (0.8%)

Memory
-12.5MiB live, 26.0MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
z
(*.f64 y x)
(fma.f64 x #s(literal 1/2 binary64) z)
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 y x z)
(fma.f64 (+.f64 y #s(literal 1/2 binary64)) x z)
Outputs
(fma.f64 (+.f64 y #s(literal 1/2 binary64)) x z)
Calls

5 calls:

42.0ms
y
3.0ms
x
3.0ms
z
3.0ms
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
3.0ms
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
100.0%1(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes13.0ms (0.2%)

Memory
29.1MiB live, 29.1MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
z
(*.f64 y x)
(fma.f64 x #s(literal 1/2 binary64) z)
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 y x z)
Outputs
(fma.f64 y x z)
(fma.f64 x #s(literal 1/2 binary64) z)
(fma.f64 y x z)
Calls

5 calls:

2.0ms
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
2.0ms
y
2.0ms
x
2.0ms
z
2.0ms
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
Results
AccuracySegmentsBranch
72.0%3x
98.9%3y
74.4%3z
79.0%3(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
79.0%3(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes3.0ms (0%)

Memory
4.1MiB live, 4.1MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
z
(*.f64 y x)
(fma.f64 x #s(literal 1/2 binary64) z)
(fma.f64 x y #s(literal 0 binary64))
Outputs
(*.f64 y x)
(fma.f64 x #s(literal 1/2 binary64) z)
(*.f64 y x)
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
87.6%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes44.0ms (0.7%)

Memory
-47.8MiB live, 12.1MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
z
(*.f64 y x)
Outputs
(*.f64 y x)
z
(*.f64 y x)
Calls

5 calls:

37.0ms
y
2.0ms
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
2.0ms
z
2.0ms
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
2.0ms
x
Results
AccuracySegmentsBranch
50.4%3x
53.6%3z
47.0%3(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
58.8%3(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
56.2%3y
Compiler

Compiled 34 to 24 computations (29.4% saved)

regimes7.0ms (0.1%)

Memory
9.3MiB live, 9.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
z
Outputs
z
Calls

5 calls:

1.0ms
(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
1.0ms
(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
1.0ms
y
1.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
30.5%1(+.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) z)
30.5%1x
30.5%1z
30.5%1y
30.5%1(+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x))
Compiler

Compiled 34 to 24 computations (29.4% saved)

bsearch39.0ms (0.6%)

Memory
-7.9MiB live, 30.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
24.0ms
5.82037533209015e-12
8.705440674802984e-7
13.0ms
-5.462509468552994
-5.516053407982772e-14
Samples
14.0ms304×0valid
Compiler

Compiled 319 to 223 computations (30.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 3.0ms (43% of total)
ival-div: 2.0ms (28.7% of total)
ival-mult: 2.0ms (28.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch28.0ms (0.4%)

Memory
11.7MiB live, 49.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
1.1236875173172815e+83
7.324091243240302e+85
13.0ms
-3.018718761433369e+47
-8.762437417984182e+34
Samples
17.0ms288×0valid
Compiler

Compiled 285 to 212 computations (25.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 2.0ms (28.6% of total)
ival-add: 2.0ms (28.6% of total)
ival-mult: 2.0ms (28.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
7.777129603044031e+146
3.931294604808854e+150
0.0ms
-1.4078335343827898e+142
-2.7150972863938144e+141
Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify10.0ms (0.1%)

Memory
-14.8MiB live, 23.7MiB allocated
Algorithm
1×egg-herbie
Rules
6×if-if-or-not_binary32
4×+-commutative_binary64
2×*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03172
14372
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z))
(fma.f64 (+.f64 y #s(literal 1/2 binary64)) x z)
(if (<=.f64 y #s(literal -1/2 binary64)) (fma.f64 y x z) (if (<=.f64 y #s(literal 4061235175267895/4722366482869645213696 binary64)) (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 y x z)))
(if (<=.f64 y #s(literal -102000000000000007130810111353683968 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal 114000000000000003242360141658532889539138581698517108098170864013726218421081735168 binary64)) (fma.f64 x #s(literal 1/2 binary64) z) (*.f64 y x)))
(if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal -10000000000000000508222848402996879704791089448509839788449208028871961714412352270078388372553960191290960287445781834331294577148468377157632 binary64)) (*.f64 y x) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal 999999999999999977996382405657660174364823889467801080772253244969263939229107492426926049423260513969768268415537077468838432306731146395363835904 binary64)) z (*.f64 y x)))
z
Outputs
(fma.f64 y x (fma.f64 x #s(literal 1/2 binary64) z))
(fma.f64 (+.f64 y #s(literal 1/2 binary64)) x z)
(if (<=.f64 y #s(literal -1/2 binary64)) (fma.f64 y x z) (if (<=.f64 y #s(literal 4061235175267895/4722366482869645213696 binary64)) (fma.f64 x #s(literal 1/2 binary64) z) (fma.f64 y x z)))
(if (<=.f64 y #s(literal -102000000000000007130810111353683968 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal 114000000000000003242360141658532889539138581698517108098170864013726218421081735168 binary64)) (fma.f64 x #s(literal 1/2 binary64) z) (*.f64 y x)))
(if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal -10000000000000000508222848402996879704791089448509839788449208028871961714412352270078388372553960191290960287445781834331294577148468377157632 binary64)) (*.f64 y x) (if (<=.f64 (+.f64 (/.f64 x #s(literal 2 binary64)) (*.f64 y x)) #s(literal 999999999999999977996382405657660174364823889467801080772253244969263939229107492426926049423260513969768268415537077468838432306731146395363835904 binary64)) z (*.f64 y x)))
(if (<=.f64 (+.f64 (*.f64 y x) (/.f64 x #s(literal 2 binary64))) #s(literal -10000000000000000508222848402996879704791089448509839788449208028871961714412352270078388372553960191290960287445781834331294577148468377157632 binary64)) (*.f64 y x) (if (<=.f64 (+.f64 (*.f64 y x) (/.f64 x #s(literal 2 binary64))) #s(literal 999999999999999977996382405657660174364823889467801080772253244969263939229107492426926049423260513969768268415537077468838432306731146395363835904 binary64)) z (*.f64 y x)))
z

soundness853.0ms (12.7%)

Memory
25.4MiB live, 587.0MiB allocated
Rules
8 606×accelerator-lowering-fma.f32
8 606×accelerator-lowering-fma.f64
7 074×accelerator-lowering-fma.f32
7 074×accelerator-lowering-fma.f64
6 466×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0822
14818
244818
3605418
0801717
01429
19125
287925
0850022
057440
1174440
2488440
31310440
43612440
56659440
08189412
077640
1247640
2645640
31781640
44520640
56822640
08096566
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 166 to 87 computations (47.6% saved)

preprocess88.0ms (1.3%)

Memory
-0.8MiB live, 117.2MiB allocated
Compiler

Compiled 188 to 78 computations (58.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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