Graphics.Rendering.Chart.Drawing:drawTextsR from Chart-1.5.3

Time bar (total: 8.8s)

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)

sample947.0ms (10.7%)

Memory
-1.8MiB live, 989.0MiB allocated
Samples
673.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 291.0ms
ival-mult: 195.0ms (67.1% of total)
ival-sub: 46.0ms (15.8% of total)
ival-add: 36.0ms (12.4% of total)
ival-true: 6.0ms (2.1% of total)
exact: 5.0ms (1.7% of total)
ival-assert: 3.0ms (1% of total)
Bogosity

preprocess125.0ms (1.4%)

Memory
2.7MiB live, 78.3MiB allocated
Algorithm
2×egg-herbie
Rules
608×accelerator-lowering-fma.f32
608×accelerator-lowering-fma.f64
418×distribute-rgt-in
384×unsub-neg
340×sub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03399
18292
218090
350173
4114571
5197871
6235971
7242271
8243071
9243071
089
1169
2239
3357
4467
5647
61077
71797
83667
95707
106607
116727
06727
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(+ (* x y) (* (- x 1) z))
Outputs
(+ (* x y) (* (- x 1) z))
(-.f64 (fma.f64 x (+.f64 y z) #s(literal 0 binary64)) z)
Call 2
Inputs
(+ (* x y) (* (- x 1) z))
(+ (* (neg x) y) (* (- (neg x) 1) z))
(+ (* x (neg y)) (* (- x 1) z))
(+ (* x y) (* (- x 1) (neg z)))
(neg (+ (* (neg x) y) (* (- (neg x) 1) z)))
(neg (+ (* x (neg y)) (* (- x 1) z)))
(neg (+ (* x y) (* (- x 1) (neg z))))
(+ (* y x) (* (- y 1) z))
(+ (* z y) (* (- z 1) x))
(+ (* x z) (* (- x 1) y))
Outputs
(+ (* x y) (* (- x 1) z))
(- (* x (+ y z)) z)
(+ (* (neg x) y) (* (- (neg x) 1) z))
(- (neg z) (* x (+ y z)))
(+ (* x (neg y)) (* (- x 1) z))
(- (* x (- z y)) z)
(+ (* x y) (* (- x 1) (neg z)))
(+ z (* x (- y z)))
(neg (+ (* (neg x) y) (* (- (neg x) 1) z)))
(+ z (* x (+ y z)))
(neg (+ (* x (neg y)) (* (- x 1) z)))
(+ z (* x (- y z)))
(neg (+ (* x y) (* (- x 1) (neg z))))
(- (* x (- z y)) z)
(+ (* y x) (* (- y 1) z))
(- (* y (+ x z)) z)
(+ (* z y) (* (- z 1) x))
(- (* z (+ x y)) x)
(+ (* x z) (* (- x 1) y))
(- (* x (+ y z)) y)

explain123.0ms (1.4%)

Memory
10.4MiB live, 131.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
30-0-(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
00-0-(*.f64 (-.f64 x #s(literal 1 binary64)) z)
00-0-y
00-0-(-.f64 x #s(literal 1 binary64))
00-0-#s(literal 1 binary64)
00-0-z
00-0-(*.f64 x y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))nan-rescue30
↳(*.f64 x y)overflow34
↳(*.f64 (-.f64 x #s(literal 1 binary64)) z)overflow28
Confusion
Predicted +Predicted -
+30
-0253
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+300
-00253
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0253
13
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
28.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 7.0ms (56.1% of total)
ival-sub: 3.0ms (24.1% of total)
ival-add: 2.0ms (16% 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)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.8%
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify59.0ms (0.7%)

Memory
-23.6MiB live, 56.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
✓cost-diff-64
(*.f64 x y)
✓cost-diff0
(-.f64 x #s(literal 1 binary64))
✓cost-diff384
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
Rules
608×accelerator-lowering-fma.f32
608×accelerator-lowering-fma.f64
240×*-lowering-*.f32
240×*-lowering-*.f64
152×+-lowering-+.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0824
11624
22324
33522
44622
56422
610722
717922
836622
957022
1066022
1167222
067222
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* x y) (* (- x 1) z))
(* x y)
x
y
(* (- x 1) z)
(- x 1)
1
z
Outputs
(+ (* x y) (* (- x 1) z))
(-.f64 (fma.f64 x (+.f64 y z) #s(literal 0 binary64)) z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
x
y
(* (- x 1) z)
(fma.f64 z (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
1
#s(literal 1 binary64)
z

localize28.0ms (0.3%)

Memory
2.9MiB live, 42.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 x #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 (-.f64 x #s(literal 1 binary64)) z)
✓accuracy100.0%
(*.f64 x y)
✓accuracy98.9%
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
Samples
14.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (48.7% of total)
ival-sub: 1.0ms (16.2% of total)
ival-add: 1.0ms (16.2% 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
11.7MiB live, 11.7MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (+ (* x y) (* (- x 1) z))>
#<alt (- x 1)>
#<alt (* x y)>
#<alt (* (- x 1) z)>
Outputs
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* x (+ y z)))>
#<alt (+ (* -1 z) (* x (+ y z)))>
#<alt (+ (* -1 z) (* x (+ y z)))>
#<alt (* x (+ y z))>
#<alt (* x (+ y (+ z (* -1 (/ z x)))))>
#<alt (* x (+ y (+ z (* -1 (/ z x)))))>
#<alt (* x (+ y (+ z (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 z))))>
#<alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))>
#<alt (* z (- x 1))>
#<alt (+ (* x y) (* z (- x 1)))>
#<alt (+ (* x y) (* z (- x 1)))>
#<alt (+ (* x y) (* z (- x 1)))>
#<alt (* x y)>
#<alt (* y (+ x (/ (* z (- x 1)) y)))>
#<alt (* y (+ x (/ (* z (- x 1)) y)))>
#<alt (* y (+ x (/ (* z (- x 1)) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))>
#<alt (* x y)>
#<alt (+ (* x y) (* z (- x 1)))>
#<alt (+ (* x y) (* z (- x 1)))>
#<alt (+ (* x y) (* z (- x 1)))>
#<alt (* z (- x 1))>
#<alt (* z (- (+ x (/ (* x y) z)) 1))>
#<alt (* z (- (+ x (/ (* x y) z)) 1))>
#<alt (* z (- (+ x (/ (* x y) z)) 1))>
#<alt (* z (- x 1))>
#<alt (* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 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 (* -1 z)>
#<alt (+ (* -1 z) (* x z))>
#<alt (+ (* -1 z) (* x z))>
#<alt (+ (* -1 z) (* x z))>
#<alt (* x z)>
#<alt (* x (+ z (* -1 (/ z x))))>
#<alt (* x (+ z (* -1 (/ z x))))>
#<alt (* x (+ z (* -1 (/ z x))))>
#<alt (* x z)>
#<alt (* -1 (* x (+ (* -1 z) (/ z x))))>
#<alt (* -1 (* x (+ (* -1 z) (/ z x))))>
#<alt (* -1 (* x (+ (* -1 z) (/ z x))))>
#<alt (* z (- x 1))>
#<alt (* z (- x 1))>
#<alt (* z (- x 1))>
#<alt (* z (- x 1))>
#<alt (* z (- x 1))>
#<alt (* z (- x 1))>
#<alt (* z (- x 1))>
#<alt (* z (- x 1))>
#<alt (* z (- x 1))>
#<alt (* z (- x 1))>
#<alt (* z (- x 1))>
#<alt (* z (- x 1))>
Calls

24 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(+ (* x y) (* (- x 1) z))
1.0ms
x
@inf
(+ (* x y) (* (- x 1) z))
0.0ms
x
@inf
(- x 1)
0.0ms
x
@0
(+ (* x y) (* (- x 1) z))
0.0ms
z
@-inf
(+ (* x y) (* (- x 1) z))

rewrite640.0ms (7.2%)

Memory
-19.0MiB live, 694.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 732×*-lowering-*.f32
6 732×*-lowering-*.f64
4 784×accelerator-lowering-fma.f32
4 784×accelerator-lowering-fma.f64
4 232×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
14120
230720
3387020
01042319
Stop Event
1×iter limit
1×node limit
Counts
4 → 280
Calls
Call 1
Inputs
(+ (* x y) (* (- x 1) z))
(- x 1)
(* x y)
(* (- x 1) z)
Outputs
(+.f64 (*.f64 x y) (*.f64 (+.f64 x #s(literal -1 binary64)) z))
(+.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) z) (*.f64 x y))
(+.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (fma.f64 x y (*.f64 z (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (*.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) (*.f64 z (-.f64 #s(literal 1 binary64) x))) (fma.f64 x y (*.f64 z (-.f64 #s(literal 1 binary64) x))))))
(+.f64 (*.f64 x z) (fma.f64 z #s(literal -1 binary64) (*.f64 x y)))
(+.f64 (fma.f64 x y (*.f64 x z)) (-.f64 #s(literal 0 binary64) z))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal -1 binary64)) z (*.f64 x y)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (fma.f64 x y (*.f64 z (-.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) (*.f64 z (-.f64 #s(literal 1 binary64) x))) (fma.f64 x y (*.f64 z (-.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (*.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) (*.f64 z (-.f64 #s(literal 1 binary64) x))) (fma.f64 (+.f64 x #s(literal -1 binary64)) z (-.f64 #s(literal 0 binary64) (*.f64 x y)))) (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (fma.f64 (+.f64 x #s(literal -1 binary64)) z (-.f64 #s(literal 0 binary64) (*.f64 x y)))))
(fma.f64 x y (*.f64 (+.f64 x #s(literal -1 binary64)) z))
(fma.f64 x z (fma.f64 z #s(literal -1 binary64) (*.f64 x y)))
(fma.f64 x (*.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 x #s(literal -1 binary64)) z))
(fma.f64 x (*.f64 #s(literal 1 binary64) z) (fma.f64 z #s(literal -1 binary64) (*.f64 x y)))
(fma.f64 x (/.f64 (*.f64 x (*.f64 y y)) (fma.f64 x y (*.f64 z (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (*.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) (*.f64 z (-.f64 #s(literal 1 binary64) x))) (fma.f64 x y (*.f64 z (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 x (exp.f64 (log.f64 y)) (*.f64 (+.f64 x #s(literal -1 binary64)) z))
(fma.f64 y x (*.f64 (+.f64 x #s(literal -1 binary64)) z))
(fma.f64 y (/.f64 (*.f64 y (*.f64 x x)) (fma.f64 x y (*.f64 z (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (*.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) (*.f64 z (-.f64 #s(literal 1 binary64) x))) (fma.f64 x y (*.f64 z (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) z))
(fma.f64 (*.f64 x y) (/.f64 (*.f64 x y) (fma.f64 x y (*.f64 z (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (*.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) (*.f64 z (-.f64 #s(literal 1 binary64) x))) (fma.f64 x y (*.f64 z (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 (+.f64 x #s(literal -1 binary64)) z))
(fma.f64 #s(literal 1 binary64) (*.f64 x z) (fma.f64 z #s(literal -1 binary64) (*.f64 x y)))
(fma.f64 (+.f64 x #s(literal -1 binary64)) z (*.f64 x y))
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 z #s(literal 1 binary64)) (*.f64 x y))
(fma.f64 z x (fma.f64 z #s(literal -1 binary64) (*.f64 x y)))
(fma.f64 z (+.f64 x #s(literal -1 binary64)) (*.f64 x y))
(fma.f64 (*.f64 y (*.f64 y (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 z (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (*.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) (*.f64 z (-.f64 #s(literal 1 binary64) x))) (fma.f64 x y (*.f64 z (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))) z) (*.f64 x y))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 z (+.f64 x (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x y))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (fma.f64 x y (*.f64 z (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (*.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) (*.f64 z (-.f64 #s(literal 1 binary64) x))) (fma.f64 x y (*.f64 z (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 z (+.f64 x #s(literal 1 binary64))) (*.f64 x y))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) z) (*.f64 x y))
(fma.f64 (*.f64 y y) (/.f64 (*.f64 x x) (fma.f64 x y (*.f64 z (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (*.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) (*.f64 z (-.f64 #s(literal 1 binary64) x))) (fma.f64 x y (*.f64 z (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (*.f64 x z) #s(literal 1 binary64) (fma.f64 z #s(literal -1 binary64) (*.f64 x y)))
(fma.f64 (*.f64 x (*.f64 y y)) (/.f64 x (fma.f64 x y (*.f64 z (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (*.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) (*.f64 z (-.f64 #s(literal 1 binary64) x))) (fma.f64 x y (*.f64 z (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (*.f64 y (*.f64 x x)) (/.f64 y (fma.f64 x y (*.f64 z (-.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (*.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) (*.f64 z (-.f64 #s(literal 1 binary64) x))) (fma.f64 x y (*.f64 z (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (*.f64 z (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x y))
(fma.f64 (*.f64 z (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 x y))
(fma.f64 (/.f64 z (+.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x y))
(fma.f64 (*.f64 z #s(literal 1 binary64)) x (fma.f64 z #s(literal -1 binary64) (*.f64 x y)))
(fma.f64 (*.f64 y #s(literal 1 binary64)) x (*.f64 (+.f64 x #s(literal -1 binary64)) z))
(fma.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (*.f64 (fma.f64 (+.f64 x #s(literal -1 binary64)) z (*.f64 x y)) (fma.f64 x y (*.f64 z (-.f64 #s(literal 1 binary64) x))))) (fma.f64 (+.f64 x #s(literal -1 binary64)) z (*.f64 x y)) (neg.f64 (/.f64 (*.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) (*.f64 z (-.f64 #s(literal 1 binary64) x))) (fma.f64 x y (*.f64 z (-.f64 #s(literal 1 binary64) x))))))
(fma.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (fma.f64 x (*.f64 y (*.f64 y (*.f64 y (*.f64 x x)))) (*.f64 (*.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) (*.f64 z (-.f64 #s(literal 1 binary64) x))) (*.f64 z (-.f64 #s(literal 1 binary64) x))))) (fma.f64 x (*.f64 x (*.f64 y y)) (*.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) z) (fma.f64 (+.f64 x #s(literal -1 binary64)) z (*.f64 x y)))) (neg.f64 (/.f64 (*.f64 (*.f64 z (-.f64 #s(literal 1 binary64) x)) (*.f64 z (-.f64 #s(literal 1 binary64) x))) (fma.f64 x y (*.f64 z (-.f64 #s(literal 1 binary64) x))))))
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(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 x x)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x #s(literal -1 binary64)))) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x #s(literal -1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x #s(literal -1 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x #s(literal -1 binary64)))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (*.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 x y)
(*.f64 x (*.f64 #s(literal 1 binary64) y))
(*.f64 x (exp.f64 (log.f64 y)))
(*.f64 y x)
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (*.f64 y #s(literal 1 binary64)) x)
(*.f64 (exp.f64 (log.f64 y)) x)
(+.f64 (*.f64 x z) (-.f64 #s(literal 0 binary64) z))
(+.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x z))
(exp.f64 (log.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) z)))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) z)) #s(literal 1 binary64)))
(fma.f64 x z (-.f64 #s(literal 0 binary64) z))
(fma.f64 x (*.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 0 binary64) z))
(fma.f64 #s(literal 1 binary64) (*.f64 x z) (-.f64 #s(literal 0 binary64) z))
(fma.f64 z x (-.f64 #s(literal 0 binary64) z))
(fma.f64 z #s(literal -1 binary64) (*.f64 x z))
(fma.f64 #s(literal -1 binary64) z (*.f64 x z))
(fma.f64 (*.f64 x z) #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z))
(fma.f64 (*.f64 z #s(literal 1 binary64)) x (-.f64 #s(literal 0 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 z (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) z) #s(literal 1 binary64))
(/.f64 (*.f64 z (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 z (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 z (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 z (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 z (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z)) (neg.f64 (*.f64 z (*.f64 z z)))) (fma.f64 (*.f64 x z) (*.f64 x z) (-.f64 (*.f64 z z) (*.f64 (*.f64 x z) (-.f64 #s(literal 0 binary64) z)))))
(/.f64 (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 z z)) (-.f64 (*.f64 x z) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (*.f64 z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) z) (-.f64 #s(literal 0 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))) z) (-.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (exp.f64 (log.f64 (*.f64 z (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))) (exp.f64 (log1p.f64 (+.f64 x (*.f64 x x)))))
(/.f64 (exp.f64 (log.f64 (*.f64 z (fma.f64 x x #s(literal -1 binary64))))) (exp.f64 (log1p.f64 x)))
(pow.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) z) #s(literal 1 binary64))
(pow.f64 (/.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 z (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 x #s(literal -1 binary64)) z)
(*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 z #s(literal 1 binary64)))
(*.f64 z (+.f64 x #s(literal -1 binary64)))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))) z))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 z (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 z (+.f64 x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) z))
(*.f64 (*.f64 z (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (*.f64 z (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 z (+.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 z (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 z (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (-.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(*.f64 (/.f64 (*.f64 z (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 z (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 z (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))))
(*.f64 (exp.f64 (log.f64 (+.f64 x #s(literal -1 binary64)))) (exp.f64 (log.f64 z)))

simplify273.0ms (3.1%)

Memory
-7.6MiB live, 606.8MiB allocated
Algorithm
1×egg-herbie
Rules
9 326×accelerator-lowering-fma.f32
9 326×accelerator-lowering-fma.f64
3 218×*-lowering-*.f32
3 218×*-lowering-*.f64
1 186×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054467
1180440
2532440
31340440
44413440
08105440
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
Calls
Call 1
Inputs
(* -1 z)
(+ (* -1 z) (* x (+ y z)))
(+ (* -1 z) (* x (+ y z)))
(+ (* -1 z) (* x (+ y z)))
(* x (+ y z))
(* x (+ y (+ z (* -1 (/ z x)))))
(* x (+ y (+ z (* -1 (/ z x)))))
(* x (+ y (+ z (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(* z (- x 1))
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(* x y)
(* y (+ x (/ (* z (- x 1)) y)))
(* y (+ x (/ (* z (- x 1)) y)))
(* y (+ x (/ (* z (- x 1)) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(* x y)
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(* z (- x 1))
(* z (- (+ x (/ (* x y) z)) 1))
(* z (- (+ x (/ (* x y) z)) 1))
(* z (- (+ x (/ (* x y) z)) 1))
(* z (- x 1))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 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)
(* -1 z)
(+ (* -1 z) (* x z))
(+ (* -1 z) (* x z))
(+ (* -1 z) (* x z))
(* x z)
(* x (+ z (* -1 (/ z x))))
(* x (+ z (* -1 (/ z x))))
(* x (+ z (* -1 (/ z x))))
(* x z)
(* -1 (* x (+ (* -1 z) (/ z x))))
(* -1 (* x (+ (* -1 z) (/ z x))))
(* -1 (* x (+ (* -1 z) (/ z x))))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
Outputs
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(+ (* -1 z) (* x (+ y z)))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(+ (* -1 z) (* x (+ y z)))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(+ (* -1 z) (* x (+ y z)))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* x (+ y z))
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
(* x (+ y (+ z (* -1 (/ z x)))))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* x (+ y (+ z (* -1 (/ z x)))))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* x (+ y (+ z (* -1 (/ z x)))))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* -1 (* x (+ (* -1 y) (* -1 z))))
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* z (- x 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(+ (* x y) (* z (- x 1)))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(+ (* x y) (* z (- x 1)))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(+ (* x y) (* z (- x 1)))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (/ (* z (- x 1)) y)))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* y (+ x (/ (* z (- x 1)) y)))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* y (+ x (/ (* z (- x 1)) y)))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ (* x y) (* z (- x 1)))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(+ (* x y) (* z (- x 1)))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(+ (* x y) (* z (- x 1)))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* z (- x 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* z (- (+ x (/ (* x y) z)) 1))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* z (- (+ x (/ (* x y) z)) 1))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* z (- (+ x (/ (* x y) z)) 1))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* z (- x 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
x
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
(* 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))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(+ (* -1 z) (* x z))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(+ (* -1 z) (* x z))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(+ (* -1 z) (* x z))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* x z)
(fma.f64 z x #s(literal 0 binary64))
(* x (+ z (* -1 (/ z x))))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* x (+ z (* -1 (/ z x))))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* x (+ z (* -1 (/ z x))))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* x z)
(fma.f64 z x #s(literal 0 binary64))
(* -1 (* x (+ (* -1 z) (/ z x))))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 z) (/ z x))))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 z) (/ z x))))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* z (- x 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* z (- x 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* z (- x 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* z (- x 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* z (- x 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* z (- x 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* z (- x 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* z (- x 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* z (- x 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* z (- x 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* z (- x 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* z (- x 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))

eval60.0ms (0.7%)

Memory
31.1MiB live, 109.1MiB allocated
Compiler

Compiled 9 953 to 1 002 computations (89.9% saved)

prune79.0ms (0.9%)

Memory
-33.1MiB live, 139.3MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New3688376
Fresh000
Picked101
Done000
Total3698377
Accuracy
100.0%
Counts
377 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.0%
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
▶99.2%
(fma.f64 y x (*.f64 (+.f64 x #s(literal -1 binary64)) z))
▶73.9%
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
46.8%
(fma.f64 x y #s(literal 0 binary64))
▶100.0%
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
▶28.0%
(-.f64 #s(literal 0 binary64) z)
▶72.6%
(+.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) z))
72.7%
(+.f64 (*.f64 x y) (*.f64 x z))
Compiler

Compiled 146 to 100 computations (31.5% saved)

simplify49.0ms (0.6%)

Memory
16.2MiB live, 55.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 (+.f64 x #s(literal -1 binary64)) z)
✓cost-diff0
(+.f64 x #s(literal -1 binary64))
✓cost-diff192
(fma.f64 y x (*.f64 (+.f64 x #s(literal -1 binary64)) z))
✓cost-diff-64
(*.f64 x y)
✓cost-diff0
(-.f64 #s(literal 0 binary64) z)
✓cost-diff192
(+.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) z))
✓cost-diff0
(+.f64 z y)
✓cost-diff0
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
✓cost-diff0
(-.f64 #s(literal 0 binary64) z)
✓cost-diff0
(+.f64 z y)
✓cost-diff0
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
✓cost-diff0
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
Rules
608×accelerator-lowering-fma.f32
608×accelerator-lowering-fma.f64
240×*-lowering-*.f32
240×*-lowering-*.f64
156×cancel-sign-sub-inv
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01669
13868
26468
310268
415268
527568
646968
761968
865968
966168
066168
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- (+ (* x (+ z y)) 0) z)
(+ (* x (+ z y)) 0)
x
(+ z y)
z
y
0
(- 0 z)
0
z
(+ (* x (+ z y)) 0)
x
(+ z y)
z
y
0
(+ (* x y) (- 0 z))
(* x y)
x
y
(- 0 z)
0
z
(+ (* y x) (* (+ x -1) z))
y
x
(* (+ x -1) z)
(+ x -1)
-1
z
Outputs
(- (+ (* x (+ z y)) 0) z)
(fma.f64 x (+.f64 z y) (-.f64 #s(literal 0 binary64) z))
(+ (* x (+ z y)) 0)
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
x
(+ z y)
(+.f64 z y)
z
y
0
#s(literal 0 binary64)
(- 0 z)
(-.f64 #s(literal 0 binary64) z)
0
#s(literal 0 binary64)
z
(+ (* x (+ z y)) 0)
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
x
(+ z y)
(+.f64 z y)
z
y
0
#s(literal 0 binary64)
(+ (* x y) (- 0 z))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
x
y
(- 0 z)
(-.f64 #s(literal 0 binary64) z)
0
#s(literal 0 binary64)
z
(+ (* y x) (* (+ x -1) z))
(fma.f64 x (+.f64 z y) (-.f64 #s(literal 0 binary64) z))
y
x
(* (+ x -1) z)
(fma.f64 z (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(+ x -1)
(+.f64 x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
z

localize85.0ms (1%)

Memory
11.6MiB live, 128.4MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x #s(literal -1 binary64))
✓accuracy100.0%
(*.f64 (+.f64 x #s(literal -1 binary64)) z)
✓accuracy99.2%
(fma.f64 y x (*.f64 (+.f64 x #s(literal -1 binary64)) z))
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) z)
✓accuracy100.0%
(*.f64 x y)
✓accuracy100.0%
(+.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) z))
✓accuracy100.0%
(+.f64 z y)
✓accuracy100.0%
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) z)
✓accuracy100.0%
(+.f64 z y)
✓accuracy100.0%
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
✓accuracy100.0%
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
Samples
64.0ms256×0valid
Compiler

Compiled 78 to 18 computations (76.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-add: 34.0ms (78.5% of total)
ival-mult: 6.0ms (13.9% of total)
ival-sub: 2.0ms (4.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
-15.0MiB live, 24.5MiB allocated
Counts
9 → 240
Calls
Call 1
Inputs
#<alt (- (+ (* x (+ z y)) 0) z)>
#<alt (+ (* x (+ z y)) 0)>
#<alt (+ z y)>
#<alt (- 0 z)>
#<alt (+ (* x y) (- 0 z))>
#<alt (* x y)>
#<alt (+ (* y x) (* (+ x -1) z))>
#<alt (+ x -1)>
#<alt (* (+ x -1) z)>
Outputs
#<alt (* -1 z)>
#<alt (- (* x (+ y z)) z)>
#<alt (- (* x (+ y z)) z)>
#<alt (- (* x (+ y z)) z)>
#<alt (* x (+ y z))>
#<alt (* x (+ y (+ z (* -1 (/ z x)))))>
#<alt (* x (+ y (+ z (* -1 (/ z x)))))>
#<alt (* x (+ y (+ z (* -1 (/ z x)))))>
#<alt (* x (+ y z))>
#<alt (* -1 (* x (+ (* -1 (+ y z)) (/ z x))))>
#<alt (* -1 (* x (+ (* -1 (+ y z)) (/ z x))))>
#<alt (* -1 (* x (+ (* -1 (+ y z)) (/ z x))))>
#<alt (* x y)>
#<alt (+ (* x y) (* z (- x 1)))>
#<alt (+ (* x y) (* z (- x 1)))>
#<alt (+ (* x y) (* z (- x 1)))>
#<alt (* z (- x 1))>
#<alt (* z (- (+ x (/ (* x y) z)) 1))>
#<alt (* z (- (+ x (/ (* x y) z)) 1))>
#<alt (* z (- (+ x (/ (* x y) z)) 1))>
#<alt (* -1 (* z (+ 1 (* -1 x))))>
#<alt (* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z))))))>
#<alt (* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z))))))>
#<alt (* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z))))))>
#<alt (- (* x z) z)>
#<alt (- (+ (* x y) (* x z)) z)>
#<alt (- (+ (* x y) (* x z)) z)>
#<alt (- (+ (* x y) (* x z)) z)>
#<alt (* x y)>
#<alt (* y (- (+ x (/ (* x z) y)) (/ z y)))>
#<alt (* y (- (+ x (/ (* x z) y)) (/ z y)))>
#<alt (* y (- (+ x (/ (* x z) y)) (/ z y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y)))))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x y)>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (* x z)>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* x z)>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt (* x z)>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (* x y)>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt y>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt z>
#<alt (* z (+ 1 (/ y z)))>
#<alt (* z (+ 1 (/ y z)))>
#<alt (* z (+ 1 (/ y z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt z>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt y>
#<alt (* y (+ 1 (/ z y)))>
#<alt (* y (+ 1 (/ z y)))>
#<alt (* y (+ 1 (/ z y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (- (* x y) z)>
#<alt (- (* x y) z)>
#<alt (- (* x y) z)>
#<alt (* x y)>
#<alt (* x (+ y (* -1 (/ z x))))>
#<alt (* x (+ y (* -1 (/ z x))))>
#<alt (* x (+ y (* -1 (/ z x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (/ z x))))>
#<alt (* -1 (* x (+ (* -1 y) (/ z x))))>
#<alt (* -1 (* x (+ (* -1 y) (/ z x))))>
#<alt (* -1 z)>
#<alt (- (* x y) z)>
#<alt (- (* x y) z)>
#<alt (- (* x y) z)>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (/ z y))))>
#<alt (* y (+ x (* -1 (/ z y))))>
#<alt (* y (+ x (* -1 (/ z y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ z y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ z y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ z y))))>
#<alt (* x y)>
#<alt (+ (* -1 z) (* x y))>
#<alt (+ (* -1 z) (* x y))>
#<alt (+ (* -1 z) (* x y))>
#<alt (* -1 z)>
#<alt (* z (- (/ (* x y) z) 1))>
#<alt (* z (- (/ (* x y) z) 1))>
#<alt (* z (- (/ (* x y) z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (* x y) z)))))>
#<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 (- x 1))>
#<alt (+ (* x y) (* z (- x 1)))>
#<alt (+ (* x y) (* z (- x 1)))>
#<alt (+ (* x y) (* z (- x 1)))>
#<alt (* x y)>
#<alt (* y (+ x (/ (* z (- x 1)) y)))>
#<alt (* y (+ x (/ (* z (- x 1)) y)))>
#<alt (* y (+ x (/ (* z (- x 1)) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* x (+ y z)))>
#<alt (+ (* -1 z) (* x (+ y z)))>
#<alt (+ (* -1 z) (* x (+ y z)))>
#<alt (* x (+ y z))>
#<alt (* x (+ y (+ z (* -1 (/ z x)))))>
#<alt (* x (+ y (+ z (* -1 (/ z x)))))>
#<alt (* x (+ y (+ z (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 z))))>
#<alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))>
#<alt (* x y)>
#<alt (+ (* x y) (* z (- x 1)))>
#<alt (+ (* x y) (* z (- x 1)))>
#<alt (+ (* x y) (* z (- x 1)))>
#<alt (* z (- x 1))>
#<alt (* z (- (+ x (/ (* x y) z)) 1))>
#<alt (* z (- (+ x (/ (* x y) z)) 1))>
#<alt (* z (- (+ x (/ (* x y) z)) 1))>
#<alt (* z (- x 1))>
#<alt (* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* x z))>
#<alt (+ (* -1 z) (* x z))>
#<alt (+ (* -1 z) (* x z))>
#<alt (* x z)>
#<alt (* x (+ z (* -1 (/ z x))))>
#<alt (* x (+ z (* -1 (/ z x))))>
#<alt (* x (+ z (* -1 (/ z x))))>
#<alt (* x z)>
#<alt (* -1 (* x (+ (* -1 z) (/ z x))))>
#<alt (* -1 (* x (+ (* -1 z) (/ z x))))>
#<alt (* -1 (* x (+ (* -1 z) (/ z x))))>
#<alt (* z (- x 1))>
#<alt (* z (- x 1))>
#<alt (* z (- x 1))>
#<alt (* z (- x 1))>
#<alt (* z (- x 1))>
#<alt (* z (- x 1))>
#<alt (* z (- x 1))>
#<alt (* z (- x 1))>
#<alt (* z (- x 1))>
#<alt (* z (- x 1))>
#<alt (* z (- x 1))>
#<alt (* z (- x 1))>
Calls

60 calls:

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

rewrite419.0ms (4.7%)

Memory
15.3MiB live, 1 030.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 892×accelerator-lowering-fma.f32
5 892×accelerator-lowering-fma.f64
4 540×/-lowering-/.f32
4 540×/-lowering-/.f64
4 036×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01643
112742
2113342
0837541
Stop Event
1×iter limit
1×node limit
Counts
9 → 830
Calls
Call 1
Inputs
(- (+ (* x (+ z y)) 0) z)
(+ (* x (+ z y)) 0)
(+ z y)
(- 0 z)
(+ (* x y) (- 0 z))
(* x y)
(+ (* y x) (* (+ x -1) z))
(+ x -1)
(* (+ x -1) z)
Outputs
(+.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 z y) (-.f64 #s(literal 0 binary64) z)))
(+.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) z))
(+.f64 (-.f64 #s(literal 0 binary64) z) (fma.f64 x (+.f64 z y) #s(literal 0 binary64)))
(+.f64 (*.f64 x z) (-.f64 (fma.f64 x y #s(literal 0 binary64)) z))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 y (fma.f64 x y #s(literal 0 binary64)))) (-.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 z (+.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 z (+.f64 x #s(literal -1 binary64))))) (-.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 z (+.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 y (fma.f64 x y #s(literal 0 binary64)))) (-.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 z (+.f64 x #s(literal -1 binary64))))) (/.f64 (*.f64 x (*.f64 y (fma.f64 x y #s(literal 0 binary64)))) (-.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 z (+.f64 x #s(literal -1 binary64))))) (fma.f64 (/.f64 (*.f64 z (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 z (+.f64 x #s(literal -1 binary64))))) (-.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 z (+.f64 x #s(literal -1 binary64))))) (/.f64 (*.f64 z (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 z (+.f64 x #s(literal -1 binary64))))) (-.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 z (+.f64 x #s(literal -1 binary64))))) (*.f64 (/.f64 (*.f64 x (*.f64 y (fma.f64 x y #s(literal 0 binary64)))) (-.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 z (+.f64 x #s(literal -1 binary64))))) (/.f64 (*.f64 z (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 z (+.f64 x #s(literal -1 binary64))))) (-.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 z (+.f64 x #s(literal -1 binary64)))))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x #s(literal -1 binary64)) (fma.f64 x y #s(literal 0 binary64)))) #s(literal -1 binary64))
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(*.f64 (*.f64 (fma.f64 z (+.f64 x #s(literal -1 binary64)) (fma.f64 x y #s(literal 0 binary64))) (-.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 z (+.f64 x #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 z (+.f64 x #s(literal -1 binary64))))))
(+.f64 x #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) x)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x #s(literal -1 binary64))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 x #s(literal -1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x #s(literal -1 binary64)))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(+.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x z))
(+.f64 (*.f64 x z) (-.f64 #s(literal 0 binary64) z))
(+.f64 (*.f64 x z) (*.f64 z #s(literal -1 binary64)))
(+.f64 (*.f64 z #s(literal -1 binary64)) (*.f64 x z))
(fma.f64 x z (-.f64 #s(literal 0 binary64) z))
(fma.f64 x z (*.f64 z #s(literal -1 binary64)))
(fma.f64 z x (-.f64 #s(literal 0 binary64) z))
(fma.f64 z x (*.f64 z #s(literal -1 binary64)))
(fma.f64 z #s(literal -1 binary64) (*.f64 x z))
(fma.f64 z (/.f64 (-.f64 #s(literal 0 binary64) z) z) (*.f64 x z))
(fma.f64 z (/.f64 z z) (*.f64 x z))
(fma.f64 #s(literal -1 binary64) z (*.f64 x z))
(fma.f64 (*.f64 z (fma.f64 z z #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (*.f64 x z))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) z) (*.f64 x z))
(fma.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) z)) (/.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) z)) (*.f64 x z))
(fma.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) z)) (/.f64 z (-.f64 #s(literal 0 binary64) z)) (*.f64 x z))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) z) z (*.f64 x z))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) z)) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) z)) (*.f64 x z))
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 3/2 binary64)) z) (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 3/2 binary64)) z) (*.f64 x z))
(fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) z)) (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) z)) (*.f64 x z))
(fma.f64 (/.f64 z z) z (*.f64 x z))
(fma.f64 (/.f64 z (-.f64 #s(literal 0 binary64) z)) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) z)) (*.f64 x z))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3/2 binary64)) z) (/.f64 (pow.f64 z #s(literal 3/2 binary64)) z) (*.f64 x z))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) z)) (/.f64 (pow.f64 z #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) z)) (*.f64 x z))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x #s(literal -1 binary64))) (*.f64 z (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 z (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x #s(literal -1 binary64))) (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) z)))
(/.f64 (*.f64 z (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 z (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
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(/.f64 (neg.f64 (*.f64 z (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) z)) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) z)) (neg.f64 (+.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 z (fma.f64 z z #s(literal 0 binary64))))) (fma.f64 z z (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 x z)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 z (fma.f64 z z #s(literal 0 binary64))) (*.f64 z (fma.f64 z z #s(literal 0 binary64)))) (fma.f64 (*.f64 x z) (*.f64 x z) (-.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 (*.f64 x z) (-.f64 #s(literal 0 binary64) z)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 z (fma.f64 z z #s(literal 0 binary64))) (pow.f64 (*.f64 z #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x z) (*.f64 x z) (-.f64 (*.f64 (*.f64 z #s(literal -1 binary64)) (*.f64 z #s(literal -1 binary64))) (*.f64 (*.f64 x z) (*.f64 z #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z #s(literal -1 binary64)) #s(literal 3 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 z (fma.f64 z z #s(literal 0 binary64))))) (fma.f64 (*.f64 z #s(literal -1 binary64)) (*.f64 z #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 x z) (*.f64 x z)) (*.f64 (*.f64 z #s(literal -1 binary64)) (*.f64 x z)))))
(*.f64 z (+.f64 x #s(literal -1 binary64)))
(*.f64 (+.f64 x #s(literal -1 binary64)) z)

simplify416.0ms (4.7%)

Memory
1.8MiB live, 427.7MiB allocated
Algorithm
1×egg-herbie
Rules
6 618×accelerator-lowering-fma.f32
6 618×accelerator-lowering-fma.f64
2 502×*-lowering-*.f32
2 502×*-lowering-*.f64
1 604×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01171075
13991075
211581075
326441075
450231075
568401075
679141075
082091075
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
(* -1 z)
(- (* x (+ y z)) z)
(- (* x (+ y z)) z)
(- (* x (+ y z)) z)
(* x (+ y z))
(* x (+ y (+ z (* -1 (/ z x)))))
(* x (+ y (+ z (* -1 (/ z x)))))
(* x (+ y (+ z (* -1 (/ z x)))))
(* x (+ y z))
(* -1 (* x (+ (* -1 (+ y z)) (/ z x))))
(* -1 (* x (+ (* -1 (+ y z)) (/ z x))))
(* -1 (* x (+ (* -1 (+ y z)) (/ z x))))
(* x y)
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(* z (- x 1))
(* z (- (+ x (/ (* x y) z)) 1))
(* z (- (+ x (/ (* x y) z)) 1))
(* z (- (+ x (/ (* x y) z)) 1))
(* -1 (* z (+ 1 (* -1 x))))
(* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z))))))
(* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z))))))
(* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z))))))
(- (* x z) z)
(- (+ (* x y) (* x z)) z)
(- (+ (* x y) (* x z)) z)
(- (+ (* x y) (* x z)) z)
(* x y)
(* y (- (+ x (/ (* x z) y)) (/ z y)))
(* y (- (+ x (/ (* x z) y)) (/ z y)))
(* y (- (+ x (/ (* x z) y)) (/ z y)))
(* x y)
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(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y)))))
(* x (+ y z))
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(* x (+ y z))
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(* x (+ y z))
(* x (+ y z))
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(* x z)
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(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
y
(+ y z)
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z
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(* x y)
(* x (+ y (* -1 (/ z x))))
(* x (+ y (* -1 (/ z x))))
(* x (+ y (* -1 (/ z x))))
(* x y)
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(* -1 (* x (+ (* -1 y) (/ z x))))
(* -1 (* x (+ (* -1 y) (/ z x))))
(* -1 z)
(- (* x y) z)
(- (* x y) z)
(- (* x y) z)
(* x y)
(* y (+ x (* -1 (/ z y))))
(* y (+ x (* -1 (/ z y))))
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(* x y)
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(* x y)
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(* x y)
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(* y (+ x (/ (* z (- x 1)) y)))
(* y (+ x (/ (* z (- x 1)) y)))
(* x y)
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(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(* -1 z)
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(* x (+ y z))
(* x (+ y (+ z (* -1 (/ z x)))))
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(* x (+ y (+ z (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(* x y)
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(* z (- (+ x (/ (* x y) z)) 1))
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(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 z)
(+ (* -1 z) (* x z))
(+ (* -1 z) (* x z))
(+ (* -1 z) (* x z))
(* x z)
(* x (+ z (* -1 (/ z x))))
(* x (+ z (* -1 (/ z x))))
(* x (+ z (* -1 (/ z x))))
(* x z)
(* -1 (* x (+ (* -1 z) (/ z x))))
(* -1 (* x (+ (* -1 z) (/ z x))))
(* -1 (* x (+ (* -1 z) (/ z x))))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
Outputs
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(- (* x (+ y z)) z)
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(- (* x (+ y z)) z)
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(- (* x (+ y z)) z)
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* x (+ y z))
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
(* x (+ y (+ z (* -1 (/ z x)))))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* x (+ y (+ z (* -1 (/ z x)))))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* x (+ y (+ z (* -1 (/ z x)))))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* x (+ y z))
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 (+ y z)) (/ z x))))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* -1 (* x (+ (* -1 (+ y z)) (/ z x))))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* -1 (* x (+ (* -1 (+ y z)) (/ z x))))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ (* x y) (* z (- x 1)))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(+ (* x y) (* z (- x 1)))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(+ (* x y) (* z (- x 1)))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* z (- x 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* z (- (+ x (/ (* x y) z)) 1))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* z (- (+ x (/ (* x y) z)) 1))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* z (- (+ x (/ (* x y) z)) 1))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* -1 (* z (+ 1 (* -1 x))))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z))))))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z))))))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z))))))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(- (* x z) z)
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(- (+ (* x y) (* x z)) z)
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(- (+ (* x y) (* x z)) z)
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(- (+ (* x y) (* x z)) z)
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (- (+ x (/ (* x z) y)) (/ z y)))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* y (- (+ x (/ (* x z) y)) (/ z y)))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* y (- (+ x (/ (* x z) y)) (/ z y)))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y)))))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y)))))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y)))))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* x (+ y z))
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ (* x y) (* x z))
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
(+ (* x y) (* x z))
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
(+ (* x y) (* x z))
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
(* x z)
(fma.f64 z x #s(literal 0 binary64))
(* z (+ x (/ (* x y) z)))
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
(* z (+ x (/ (* x y) z)))
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
(* z (+ x (/ (* x y) z)))
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
(* x z)
(fma.f64 z x #s(literal 0 binary64))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
(* x z)
(fma.f64 z x #s(literal 0 binary64))
(+ (* x y) (* x z))
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
(+ (* x y) (* x z))
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
(+ (* x y) (* x z))
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (/ (* x z) y)))
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
(* y (+ x (/ (* x z) y)))
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
(* y (+ x (/ (* x z) y)))
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
y
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
z
(* z (+ 1 (/ y z)))
(+.f64 z y)
(* z (+ 1 (/ y z)))
(+.f64 z y)
(* z (+ 1 (/ y z)))
(+.f64 z y)
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 z y)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 z y)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 z y)
z
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
(+ y z)
(+.f64 z y)
y
(* y (+ 1 (/ z y)))
(+.f64 z y)
(* y (+ 1 (/ z y)))
(+.f64 z y)
(* y (+ 1 (/ z y)))
(+.f64 z y)
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 z y)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 z y)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 z y)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(- (* x y) z)
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(- (* x y) z)
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(- (* x y) z)
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x (+ y (* -1 (/ z x))))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* x (+ y (* -1 (/ z x))))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* x (+ y (* -1 (/ z x))))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (/ z x))))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* -1 (* x (+ (* -1 y) (/ z x))))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* -1 (* x (+ (* -1 y) (/ z x))))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(- (* x y) z)
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(- (* x y) z)
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(- (* x y) z)
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (* -1 (/ z y))))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* y (+ x (* -1 (/ z y))))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* y (+ x (* -1 (/ z y))))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (/ z y))))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* -1 (* y (+ (* -1 x) (/ z y))))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* -1 (* y (+ (* -1 x) (/ z y))))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ (* -1 z) (* x y))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(+ (* -1 z) (* x y))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(+ (* -1 z) (* x y))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (/ (* x y) z) 1))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* z (- (/ (* x y) z) 1))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* z (- (/ (* x y) z) 1))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (+ 1 (* -1 (/ (* x y) z)))))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* -1 (* z (+ 1 (* -1 (/ (* x y) z)))))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* -1 (* z (+ 1 (* -1 (/ (* x y) z)))))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) 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 (- x 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(+ (* x y) (* z (- x 1)))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(+ (* x y) (* z (- x 1)))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(+ (* x y) (* z (- x 1)))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (/ (* z (- x 1)) y)))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* y (+ x (/ (* z (- x 1)) y)))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* y (+ x (/ (* z (- x 1)) y)))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* z (- x 1)) y)))))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(+ (* -1 z) (* x (+ y z)))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(+ (* -1 z) (* x (+ y z)))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(+ (* -1 z) (* x (+ y z)))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* x (+ y z))
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
(* x (+ y (+ z (* -1 (/ z x)))))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* x (+ y (+ z (* -1 (/ z x)))))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* x (+ y (+ z (* -1 (/ z x)))))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* -1 (* x (+ (* -1 y) (* -1 z))))
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* -1 (* x (+ (* -1 y) (+ (* -1 z) (/ z x)))))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ (* x y) (* z (- x 1)))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(+ (* x y) (* z (- x 1)))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(+ (* x y) (* z (- x 1)))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* z (- x 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* z (- (+ x (/ (* x y) z)) 1))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* z (- (+ x (/ (* x y) z)) 1))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* z (- (+ x (/ (* x y) z)) 1))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* z (- x 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(* -1 (* z (+ (* -1 (- x 1)) (* -1 (/ (* x y) z)))))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
(- x 1)
(+.f64 #s(literal -1 binary64) x)
x
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) x)
x
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(+ (* -1 z) (* x z))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(+ (* -1 z) (* x z))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(+ (* -1 z) (* x z))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* x z)
(fma.f64 z x #s(literal 0 binary64))
(* x (+ z (* -1 (/ z x))))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* x (+ z (* -1 (/ z x))))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* x (+ z (* -1 (/ z x))))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* x z)
(fma.f64 z x #s(literal 0 binary64))
(* -1 (* x (+ (* -1 z) (/ z x))))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 z) (/ z x))))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 z) (/ z x))))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* z (- x 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* z (- x 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* z (- x 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* z (- x 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* z (- x 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* z (- x 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* z (- x 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* z (- x 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* z (- x 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* z (- x 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* z (- x 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* z (- x 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))

eval212.0ms (2.4%)

Memory
37.6MiB live, 358.5MiB allocated
Compiler

Compiled 39 372 to 2 449 computations (93.8% saved)

prune199.0ms (2.3%)

Memory
-31.9MiB live, 445.7MiB allocated
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1 42261 428
Fresh123
Picked415
Done000
Total1 42791 436
Accuracy
100.0%
Counts
1 436 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.0%
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
▶31.7%
(fma.f64 z x #s(literal 0 binary64))
▶72.6%
(fma.f64 y x (-.f64 #s(literal 0 binary64) z))
✓99.2%
(fma.f64 y x (*.f64 (+.f64 x #s(literal -1 binary64)) z))
▶73.1%
(fma.f64 y x (*.f64 x z))
46.8%
(fma.f64 x y #s(literal 0 binary64))
▶100.0%
(-.f64 (*.f64 (+.f64 z y) x) z)
73.9%
(*.f64 (+.f64 z y) x)
▶28.0%
(neg.f64 z)
Compiler

Compiled 139 to 93 computations (33.1% saved)

simplify35.0ms (0.4%)

Memory
-23.8MiB live, 75.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 x z)
✓cost-diff192
(fma.f64 y x (*.f64 x z))
✓cost-diff0
(-.f64 #s(literal 0 binary64) z)
✓cost-diff0
(fma.f64 y x (-.f64 #s(literal 0 binary64) z))
✓cost-diff0
(fma.f64 z x #s(literal 0 binary64))
✓cost-diff-64
(neg.f64 z)
✓cost-diff-64
(*.f64 (+.f64 z y) x)
✓cost-diff0
(+.f64 z y)
✓cost-diff0
(-.f64 (*.f64 (+.f64 z y) x) z)
Rules
608×accelerator-lowering-fma.f32
608×accelerator-lowering-fma.f64
240×*-lowering-*.f32
240×*-lowering-*.f64
152×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01550
13049
24449
37149
412349
523349
642749
764249
870649
972049
072049
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- (* (+ z y) x) z)
(* (+ z y) x)
(+ z y)
z
y
x
(neg z)
z
(+ (* z x) 0)
z
x
0
(+ (* y x) (- 0 z))
y
x
(- 0 z)
0
z
(+ (* y x) (* x z))
y
x
(* x z)
z
Outputs
(- (* (+ z y) x) z)
(-.f64 (fma.f64 (+.f64 z y) x #s(literal 0 binary64)) z)
(* (+ z y) x)
(fma.f64 (+.f64 z y) x #s(literal 0 binary64))
(+ z y)
(+.f64 z y)
z
y
x
(neg z)
(-.f64 #s(literal 0 binary64) z)
z
(+ (* z x) 0)
(fma.f64 z x #s(literal 0 binary64))
z
x
0
#s(literal 0 binary64)
(+ (* y x) (- 0 z))
(-.f64 (fma.f64 y x #s(literal 0 binary64)) z)
y
x
(- 0 z)
(-.f64 #s(literal 0 binary64) z)
0
#s(literal 0 binary64)
z
(+ (* y x) (* x z))
(fma.f64 (+.f64 z y) x #s(literal 0 binary64))
y
x
(* x z)
(fma.f64 z x #s(literal 0 binary64))
z

localize66.0ms (0.7%)

Memory
35.7MiB live, 74.2MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x z)
✓accuracy99.2%
(fma.f64 y x (*.f64 x z))
✓accuracy100.0%
(fma.f64 y x (-.f64 #s(literal 0 binary64) z))
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) z)
✓accuracy100.0%
(fma.f64 z x #s(literal 0 binary64))
✓accuracy100.0%
(neg.f64 z)
✓accuracy100.0%
(+.f64 z y)
✓accuracy100.0%
(-.f64 (*.f64 (+.f64 z y) x) z)
✓accuracy100.0%
(*.f64 (+.f64 z y) x)
Samples
29.0ms256×0valid
Compiler

Compiled 55 to 17 computations (69.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-add: 7.0ms (41.4% of total)
ival-mult: 7.0ms (41.4% of total)
ival-sub: 2.0ms (11.8% of total)
ival-neg: 1.0ms (5.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series27.0ms (0.3%)

Memory
-29.6MiB live, 8.3MiB allocated
Counts
9 → 240
Calls
Call 1
Inputs
#<alt (- (* (+ z y) x) z)>
#<alt (+ z y)>
#<alt (* (+ z y) x)>
#<alt (neg z)>
#<alt (+ (* z x) 0)>
#<alt (+ (* y x) (- 0 z))>
#<alt (- 0 z)>
#<alt (+ (* y x) (* x z))>
#<alt (* x z)>
Outputs
#<alt (* x y)>
#<alt (+ (* x y) (* z (- x 1)))>
#<alt (+ (* x y) (* z (- x 1)))>
#<alt (+ (* x y) (* z (- x 1)))>
#<alt (* z (- x 1))>
#<alt (* z (- (+ x (/ (* x y) z)) 1))>
#<alt (* z (- (+ x (/ (* x y) z)) 1))>
#<alt (* z (- (+ x (/ (* x y) z)) 1))>
#<alt (* -1 (* z (+ 1 (* -1 x))))>
#<alt (* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z))))))>
#<alt (* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z))))))>
#<alt (* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z))))))>
#<alt (- (* x z) z)>
#<alt (- (+ (* x y) (* x z)) z)>
#<alt (- (+ (* x y) (* x z)) z)>
#<alt (- (+ (* x y) (* x z)) z)>
#<alt (* x y)>
#<alt (* y (- (+ x (/ (* x z) y)) (/ z y)))>
#<alt (* y (- (+ x (/ (* x z) y)) (/ z y)))>
#<alt (* y (- (+ x (/ (* x z) y)) (/ z y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y)))))>
#<alt (* -1 z)>
#<alt (- (* x (+ y z)) z)>
#<alt (- (* x (+ y z)) z)>
#<alt (- (* x (+ y z)) z)>
#<alt (* x (+ y z))>
#<alt (* x (+ y (+ z (* -1 (/ z x)))))>
#<alt (* x (+ y (+ z (* -1 (/ z x)))))>
#<alt (* x (+ y (+ z (* -1 (/ z x)))))>
#<alt (* x (+ y z))>
#<alt (* -1 (* x (+ (* -1 (+ y z)) (/ z x))))>
#<alt (* -1 (* x (+ (* -1 (+ y z)) (/ z x))))>
#<alt (* -1 (* x (+ (* -1 (+ y z)) (/ z x))))>
#<alt y>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt z>
#<alt (* z (+ 1 (/ y z)))>
#<alt (* z (+ 1 (/ y z)))>
#<alt (* z (+ 1 (/ y z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt z>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt y>
#<alt (* y (+ 1 (/ z y)))>
#<alt (* y (+ 1 (/ z y)))>
#<alt (* y (+ 1 (/ z y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* x y)>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (* x z)>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* x z)>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt (* x z)>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (* x y)>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* -1 z)>
#<alt (- (* x y) z)>
#<alt (- (* x y) z)>
#<alt (- (* x y) z)>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (/ z y))))>
#<alt (* y (+ x (* -1 (/ z y))))>
#<alt (* y (+ x (* -1 (/ z y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ z y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ z y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ z y))))>
#<alt (* -1 z)>
#<alt (- (* x y) z)>
#<alt (- (* x y) z)>
#<alt (- (* x y) z)>
#<alt (* x y)>
#<alt (* x (+ y (* -1 (/ z x))))>
#<alt (* x (+ y (* -1 (/ z x))))>
#<alt (* x (+ y (* -1 (/ z x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (/ z x))))>
#<alt (* -1 (* x (+ (* -1 y) (/ z x))))>
#<alt (* -1 (* x (+ (* -1 y) (/ z x))))>
#<alt (* x y)>
#<alt (+ (* -1 z) (* x y))>
#<alt (+ (* -1 z) (* x y))>
#<alt (+ (* -1 z) (* x y))>
#<alt (* -1 z)>
#<alt (* z (- (/ (* x y) z) 1))>
#<alt (* z (- (/ (* x y) z) 1))>
#<alt (* z (- (/ (* x y) z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (* x y) z)))))>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* x z)>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (* x y)>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 z))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 z))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 z))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 z))))>
#<alt (* x y)>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (* x z)>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* x z)>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
Calls

60 calls:

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

rewrite388.0ms (4.4%)

Memory
20.7MiB live, 653.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 034×accelerator-lowering-fma.f32
7 034×accelerator-lowering-fma.f64
2 778×/-lowering-/.f32
2 778×/-lowering-/.f64
2 704×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01536
110135
294233
0973831
Stop Event
1×iter limit
1×node limit
Counts
9 → 1 105
Calls
Call 1
Inputs
(- (* (+ z y) x) z)
(+ z y)
(* (+ z y) x)
(neg z)
(+ (* z x) 0)
(+ (* y x) (- 0 z))
(- 0 z)
(+ (* y x) (* x z))
(* x z)
Outputs
(+.f64 (fma.f64 (+.f64 y z) x #s(literal 0 binary64)) z)
(+.f64 z (fma.f64 (+.f64 y z) x #s(literal 0 binary64)))
(+.f64 (/.f64 (*.f64 (fma.f64 (+.f64 y z) x #s(literal 0 binary64)) (*.f64 (fma.f64 (+.f64 y z) x #s(literal 0 binary64)) (fma.f64 (+.f64 y z) x #s(literal 0 binary64)))) (fma.f64 (+.f64 y z) (*.f64 x (fma.f64 (+.f64 y z) x #s(literal 0 binary64))) (*.f64 z (fma.f64 (+.f64 y z) x z)))) (neg.f64 (/.f64 (*.f64 z (fma.f64 z z #s(literal 0 binary64))) (fma.f64 (+.f64 y z) (*.f64 x (fma.f64 (+.f64 y z) x #s(literal 0 binary64))) (*.f64 z (fma.f64 (+.f64 y z) x z))))))
(+.f64 (/.f64 (*.f64 (fma.f64 (+.f64 y z) x #s(literal 0 binary64)) (fma.f64 (+.f64 y z) x #s(literal 0 binary64))) (fma.f64 (+.f64 y z) x z)) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 (+.f64 y z) x z)))
(-.f64 (fma.f64 (+.f64 y z) x #s(literal 0 binary64)) z)
(-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 y z) x #s(literal 0 binary64)) (*.f64 (fma.f64 (+.f64 y z) x #s(literal 0 binary64)) (fma.f64 (+.f64 y z) x #s(literal 0 binary64)))) (fma.f64 (+.f64 y z) (*.f64 x (fma.f64 (+.f64 y z) x #s(literal 0 binary64))) (*.f64 z (fma.f64 (+.f64 y z) x z)))) (/.f64 (*.f64 z (fma.f64 z z #s(literal 0 binary64))) (fma.f64 (+.f64 y z) (*.f64 x (fma.f64 (+.f64 y z) x #s(literal 0 binary64))) (*.f64 z (fma.f64 (+.f64 y z) x z)))))
(-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 y z) x #s(literal 0 binary64)) (fma.f64 (+.f64 y z) x #s(literal 0 binary64))) (fma.f64 (+.f64 y z) x z)) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 (+.f64 y z) x z)))
(fma.f64 (+.f64 y z) x z)
(fma.f64 x (+.f64 y z) z)
(fma.f64 z #s(literal -1 binary64) (fma.f64 (+.f64 y z) x #s(literal 0 binary64)))
(fma.f64 z #s(literal 1 binary64) (fma.f64 (+.f64 y z) x #s(literal 0 binary64)))
(fma.f64 z (/.f64 z z) (fma.f64 (+.f64 y z) x #s(literal 0 binary64)))
(fma.f64 (*.f64 z (fma.f64 z z #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 z z #s(literal 0 binary64))) (fma.f64 (+.f64 y z) x #s(literal 0 binary64)))
(fma.f64 (fma.f64 z z #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) z) (fma.f64 (+.f64 y z) x #s(literal 0 binary64)))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (+.f64 y z) x #s(literal 0 binary64)) (fma.f64 (+.f64 y z) x #s(literal 0 binary64)) (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 x z #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (+.f64 y z) x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (+.f64 y z) x #s(literal 0 binary64)) (fma.f64 (+.f64 y z) x #s(literal 0 binary64)) (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 x z #s(literal 0 binary64)) #s(literal 0 binary64)))) z)
(fma.f64 (*.f64 (fma.f64 (fma.f64 (+.f64 y z) x #s(literal 0 binary64)) (fma.f64 (+.f64 y z) x #s(literal 0 binary64)) (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 x z #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (+.f64 y z) x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 z (fma.f64 x z #s(literal 0 binary64))) (fma.f64 y (*.f64 x (fma.f64 y x #s(literal 0 binary64))) (fma.f64 (fma.f64 y x #s(literal 0 binary64)) (fma.f64 x z #s(literal 0 binary64)) #s(literal 0 binary64))))) z)
(fma.f64 (*.f64 (fma.f64 (+.f64 y z) x #s(literal 0 binary64)) (*.f64 (fma.f64 (+.f64 y z) x #s(literal 0 binary64)) (fma.f64 (+.f64 y z) x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y z) (*.f64 x (fma.f64 (+.f64 y z) x #s(literal 0 binary64))) (*.f64 z (fma.f64 (+.f64 y z) x z)))) (neg.f64 (/.f64 (*.f64 z (fma.f64 z z #s(literal 0 binary64))) (fma.f64 (+.f64 y z) (*.f64 x (fma.f64 (+.f64 y z) x #s(literal 0 binary64))) (*.f64 z (fma.f64 (+.f64 y z) x z))))))
(fma.f64 (*.f64 (fma.f64 (+.f64 y z) x #s(literal 0 binary64)) (fma.f64 (+.f64 y z) x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y z) x z)) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 (+.f64 y z) x z)))
(fma.f64 (*.f64 (fma.f64 (+.f64 y z) x #s(literal 0 binary64)) (fma.f64 (+.f64 y z) x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y z) x #s(literal 0 binary64))) z)
(fma.f64 #s(literal -1 binary64) z (fma.f64 (+.f64 y z) x #s(literal 0 binary64)))
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(*.f64 (/.f64 (fma.f64 x (*.f64 z (fma.f64 x z #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 x z #s(literal 0 binary64)) z)) (/.f64 (fma.f64 x z #s(literal 0 binary64)) x))
(*.f64 (/.f64 (fma.f64 x (*.f64 z (fma.f64 x z #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 x z #s(literal 0 binary64)) x)) (/.f64 (fma.f64 x z #s(literal 0 binary64)) z))
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x z #s(literal 0 binary64)) z)) (/.f64 (*.f64 z (fma.f64 z z #s(literal 0 binary64))) x))
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x z #s(literal 0 binary64)) x)) (fma.f64 z z #s(literal 0 binary64)))
(*.f64 (/.f64 (pow.f64 (fma.f64 x z #s(literal 0 binary64)) #s(literal 3/2 binary64)) z) (/.f64 (pow.f64 (fma.f64 x z #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 x (fma.f64 x z #s(literal 0 binary64)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x z #s(literal 0 binary64)) #s(literal 3/2 binary64)) x) (/.f64 (pow.f64 (fma.f64 x z #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 z (fma.f64 x z #s(literal 0 binary64)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x z #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 x z #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 x z #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 x z #s(literal 0 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x z #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 z z #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 x z #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 x x)))
(*.f64 (/.f64 (pow.f64 (fma.f64 x z #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 x x)) (/.f64 (pow.f64 (fma.f64 x z #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 z z #s(literal 0 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x z #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 (fma.f64 x z #s(literal 0 binary64)) z)) (/.f64 (pow.f64 (fma.f64 x z #s(literal 0 binary64)) #s(literal 3/2 binary64)) x))
(*.f64 (/.f64 (pow.f64 (fma.f64 x z #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 (fma.f64 x z #s(literal 0 binary64)) x)) (/.f64 (pow.f64 (fma.f64 x z #s(literal 0 binary64)) #s(literal 3/2 binary64)) z))
(*.f64 (/.f64 z x) (/.f64 (*.f64 x (fma.f64 x z #s(literal 0 binary64))) z))
(*.f64 (/.f64 z (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 x (*.f64 z (fma.f64 x z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 x (fma.f64 x z #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 z (fma.f64 x z #s(literal 0 binary64))) #s(literal 0 binary64)))))
(*.f64 (/.f64 z (fma.f64 x (*.f64 z (fma.f64 x z #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 (*.f64 x (fma.f64 x z #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x z #s(literal 0 binary64)))))
(*.f64 (/.f64 x z) (/.f64 (*.f64 z (fma.f64 x z #s(literal 0 binary64))) x))
(*.f64 (/.f64 x x) (/.f64 (*.f64 z (fma.f64 x z #s(literal 0 binary64))) z))
(*.f64 (/.f64 x (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 x (*.f64 z (fma.f64 x z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 z (fma.f64 x z #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 z (fma.f64 x z #s(literal 0 binary64))) #s(literal 0 binary64)))))
(*.f64 (/.f64 x (fma.f64 x (*.f64 z (fma.f64 x z #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 (*.f64 z (fma.f64 x z #s(literal 0 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x z #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 x (*.f64 z (fma.f64 x z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x z #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 z (fma.f64 x z #s(literal 0 binary64))) #s(literal 0 binary64)))))
(*.f64 (/.f64 (*.f64 x x) x) z)
(*.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) x) (/.f64 (*.f64 x x) z))
(*.f64 (/.f64 (*.f64 x x) z) (/.f64 (fma.f64 z z #s(literal 0 binary64)) x))
(*.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 x (*.f64 z (fma.f64 x z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 z (fma.f64 x z #s(literal 0 binary64))) #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 x (*.f64 z (fma.f64 x z #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (fma.f64 x z #s(literal 0 binary64)))))
(*.f64 (/.f64 (*.f64 x x) (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 x (*.f64 z (fma.f64 x z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 z (fma.f64 x z #s(literal 0 binary64))) #s(literal 0 binary64)))))
(*.f64 (/.f64 (*.f64 x x) (fma.f64 x (*.f64 z (fma.f64 x z #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x z #s(literal 0 binary64)))))
(*.f64 (/.f64 (*.f64 (fma.f64 x z #s(literal 0 binary64)) z) z) (/.f64 x x))
(*.f64 (/.f64 (*.f64 (fma.f64 x z #s(literal 0 binary64)) z) x) (/.f64 x z))
(*.f64 (/.f64 (*.f64 (fma.f64 x z #s(literal 0 binary64)) z) (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 x (*.f64 z (fma.f64 x z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 z (fma.f64 x z #s(literal 0 binary64))) #s(literal 0 binary64)))))
(*.f64 (/.f64 (*.f64 (fma.f64 x z #s(literal 0 binary64)) z) (fma.f64 x (*.f64 z (fma.f64 x z #s(literal 0 binary64))) #s(literal 0 binary64))) (*.f64 x (fma.f64 x z #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 x z #s(literal 0 binary64)) x) z) (/.f64 z x))
(*.f64 (/.f64 (*.f64 (fma.f64 x z #s(literal 0 binary64)) x) x) (/.f64 z z))
(*.f64 (/.f64 (*.f64 (fma.f64 x z #s(literal 0 binary64)) x) (fma.f64 (fma.f64 x z #s(literal 0 binary64)) (fma.f64 x (*.f64 z (fma.f64 x z #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 z (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 z (fma.f64 x z #s(literal 0 binary64))) #s(literal 0 binary64)))))
(*.f64 (/.f64 (*.f64 (fma.f64 x z #s(literal 0 binary64)) x) (fma.f64 x (*.f64 z (fma.f64 x z #s(literal 0 binary64))) #s(literal 0 binary64))) (*.f64 z (fma.f64 x z #s(literal 0 binary64))))

simplify258.0ms (2.9%)

Memory
33.6MiB live, 412.8MiB allocated
Algorithm
1×egg-herbie
Rules
6 190×accelerator-lowering-fma.f32
6 190×accelerator-lowering-fma.f64
2 408×*-lowering-*.f32
2 408×*-lowering-*.f64
1 912×div-sub
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0911025
1313971
2880971
32218971
44188971
55584971
66453971
77494971
08008971
Stop Event
1×iter limit
1×node limit
Counts
240 → 240
Calls
Call 1
Inputs
(* x y)
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(+ (* x y) (* z (- x 1)))
(* z (- x 1))
(* z (- (+ x (/ (* x y) z)) 1))
(* z (- (+ x (/ (* x y) z)) 1))
(* z (- (+ x (/ (* x y) z)) 1))
(* -1 (* z (+ 1 (* -1 x))))
(* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z))))))
(* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z))))))
(* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z))))))
(- (* x z) z)
(- (+ (* x y) (* x z)) z)
(- (+ (* x y) (* x z)) z)
(- (+ (* x y) (* x z)) z)
(* x y)
(* y (- (+ x (/ (* x z) y)) (/ z y)))
(* y (- (+ x (/ (* x z) y)) (/ z y)))
(* y (- (+ x (/ (* x z) y)) (/ z y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y)))))
(* -1 z)
(- (* x (+ y z)) z)
(- (* x (+ y z)) z)
(- (* x (+ y z)) z)
(* x (+ y z))
(* x (+ y (+ z (* -1 (/ z x)))))
(* x (+ y (+ z (* -1 (/ z x)))))
(* x (+ y (+ z (* -1 (/ z x)))))
(* x (+ y z))
(* -1 (* x (+ (* -1 (+ y z)) (/ z x))))
(* -1 (* x (+ (* -1 (+ y z)) (/ z x))))
(* -1 (* x (+ (* -1 (+ y z)) (/ z x))))
y
(+ y z)
(+ y z)
(+ y z)
z
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
z
(+ y z)
(+ y z)
(+ y z)
y
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* x y)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x z)
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* x z)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x y)
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* -1 z)
(- (* x y) z)
(- (* x y) z)
(- (* x y) z)
(* x y)
(* y (+ x (* -1 (/ z y))))
(* y (+ x (* -1 (/ z y))))
(* y (+ x (* -1 (/ z y))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ z y))))
(* -1 (* y (+ (* -1 x) (/ z y))))
(* -1 (* y (+ (* -1 x) (/ z y))))
(* -1 z)
(- (* x y) z)
(- (* x y) z)
(- (* x y) z)
(* x y)
(* x (+ y (* -1 (/ z x))))
(* x (+ y (* -1 (/ z x))))
(* x (+ y (* -1 (/ z x))))
(* x y)
(* -1 (* x (+ (* -1 y) (/ z x))))
(* -1 (* x (+ (* -1 y) (/ z x))))
(* -1 (* x (+ (* -1 y) (/ z x))))
(* x y)
(+ (* -1 z) (* x y))
(+ (* -1 z) (* x y))
(+ (* -1 z) (* x y))
(* -1 z)
(* z (- (/ (* x y) z) 1))
(* z (- (/ (* x y) z) 1))
(* z (- (/ (* x y) z) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (* x y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (* x y) z)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* x z)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x y)
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(* x y)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x z)
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
Outputs
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ (* x y) (* z (- x 1)))
(-.f64 (fma.f64 x (+.f64 y z) #s(literal 0 binary64)) z)
(+ (* x y) (* z (- x 1)))
(-.f64 (fma.f64 x (+.f64 y z) #s(literal 0 binary64)) z)
(+ (* x y) (* z (- x 1)))
(-.f64 (fma.f64 x (+.f64 y z) #s(literal 0 binary64)) z)
(* z (- x 1))
(fma.f64 z (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(* z (- (+ x (/ (* x y) z)) 1))
(-.f64 (fma.f64 x (+.f64 y z) #s(literal 0 binary64)) z)
(* z (- (+ x (/ (* x y) z)) 1))
(-.f64 (fma.f64 x (+.f64 y z) #s(literal 0 binary64)) z)
(* z (- (+ x (/ (* x y) z)) 1))
(-.f64 (fma.f64 x (+.f64 y z) #s(literal 0 binary64)) z)
(* -1 (* z (+ 1 (* -1 x))))
(fma.f64 z (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z))))))
(-.f64 (fma.f64 x (+.f64 y z) #s(literal 0 binary64)) z)
(* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z))))))
(-.f64 (fma.f64 x (+.f64 y z) #s(literal 0 binary64)) z)
(* -1 (* z (+ 1 (+ (* -1 x) (* -1 (/ (* x y) z))))))
(-.f64 (fma.f64 x (+.f64 y z) #s(literal 0 binary64)) z)
(- (* x z) z)
(fma.f64 z (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(- (+ (* x y) (* x z)) z)
(-.f64 (fma.f64 x (+.f64 y z) #s(literal 0 binary64)) z)
(- (+ (* x y) (* x z)) z)
(-.f64 (fma.f64 x (+.f64 y z) #s(literal 0 binary64)) z)
(- (+ (* x y) (* x z)) z)
(-.f64 (fma.f64 x (+.f64 y z) #s(literal 0 binary64)) z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (- (+ x (/ (* x z) y)) (/ z y)))
(-.f64 (fma.f64 x (+.f64 y z) #s(literal 0 binary64)) z)
(* y (- (+ x (/ (* x z) y)) (/ z y)))
(-.f64 (fma.f64 x (+.f64 y z) #s(literal 0 binary64)) z)
(* y (- (+ x (/ (* x z) y)) (/ z y)))
(-.f64 (fma.f64 x (+.f64 y z) #s(literal 0 binary64)) z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y)))))
(-.f64 (fma.f64 x (+.f64 y z) #s(literal 0 binary64)) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y)))))
(-.f64 (fma.f64 x (+.f64 y z) #s(literal 0 binary64)) z)
(* -1 (* y (+ (* -1 x) (* -1 (/ (- (* x z) z) y)))))
(-.f64 (fma.f64 x (+.f64 y z) #s(literal 0 binary64)) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(- (* x (+ y z)) z)
(-.f64 (fma.f64 x (+.f64 y z) #s(literal 0 binary64)) z)
(- (* x (+ y z)) z)
(-.f64 (fma.f64 x (+.f64 y z) #s(literal 0 binary64)) z)
(- (* x (+ y z)) z)
(-.f64 (fma.f64 x (+.f64 y z) #s(literal 0 binary64)) z)
(* x (+ y z))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* x (+ y (+ z (* -1 (/ z x)))))
(-.f64 (fma.f64 x (+.f64 y z) #s(literal 0 binary64)) z)
(* x (+ y (+ z (* -1 (/ z x)))))
(-.f64 (fma.f64 x (+.f64 y z) #s(literal 0 binary64)) z)
(* x (+ y (+ z (* -1 (/ z x)))))
(-.f64 (fma.f64 x (+.f64 y z) #s(literal 0 binary64)) z)
(* x (+ y z))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 (+ y z)) (/ z x))))
(-.f64 (fma.f64 x (+.f64 y z) #s(literal 0 binary64)) z)
(* -1 (* x (+ (* -1 (+ y z)) (/ z x))))
(-.f64 (fma.f64 x (+.f64 y z) #s(literal 0 binary64)) z)
(* -1 (* x (+ (* -1 (+ y z)) (/ z x))))
(-.f64 (fma.f64 x (+.f64 y z) #s(literal 0 binary64)) z)
y
(+ y z)
(+.f64 y z)
(+ y z)
(+.f64 y z)
(+ y z)
(+.f64 y z)
z
(* z (+ 1 (/ y z)))
(+.f64 y z)
(* z (+ 1 (/ y z)))
(+.f64 y z)
(* z (+ 1 (/ y z)))
(+.f64 y z)
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 y z)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 y z)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 y z)
z
(+ y z)
(+.f64 y z)
(+ y z)
(+.f64 y z)
(+ y z)
(+.f64 y z)
y
(* y (+ 1 (/ z y)))
(+.f64 y z)
(* y (+ 1 (/ z y)))
(+.f64 y z)
(* y (+ 1 (/ z y)))
(+.f64 y z)
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 y z)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 y z)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 y z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ (* x y) (* x z))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(+ (* x y) (* x z))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(+ (* x y) (* x z))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* z (+ x (/ (* x y) z)))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* z (+ x (/ (* x y) z)))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* z (+ x (/ (* x y) z)))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(+ (* x y) (* x z))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(+ (* x y) (* x z))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(+ (* x y) (* x z))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (/ (* x z) y)))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* y (+ x (/ (* x z) y)))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* y (+ x (/ (* x z) y)))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(- (* x y) z)
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(- (* x y) z)
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(- (* x y) z)
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (* -1 (/ z y))))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* y (+ x (* -1 (/ z y))))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* y (+ x (* -1 (/ z y))))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (/ z y))))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* -1 (* y (+ (* -1 x) (/ z y))))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* -1 (* y (+ (* -1 x) (/ z y))))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(- (* x y) z)
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(- (* x y) z)
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(- (* x y) z)
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x (+ y (* -1 (/ z x))))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* x (+ y (* -1 (/ z x))))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* x (+ y (* -1 (/ z x))))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (/ z x))))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* -1 (* x (+ (* -1 y) (/ z x))))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* -1 (* x (+ (* -1 y) (/ z x))))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ (* -1 z) (* x y))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(+ (* -1 z) (* x y))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(+ (* -1 z) (* x y))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (/ (* x y) z) 1))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* z (- (/ (* x y) z) 1))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* z (- (/ (* x y) z) 1))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (+ 1 (* -1 (/ (* x y) z)))))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* -1 (* z (+ 1 (* -1 (/ (* x y) z)))))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* -1 (* z (+ 1 (* -1 (/ (* x y) z)))))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(+ (* x y) (* x z))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(+ (* x y) (* x z))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(+ (* x y) (* x z))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (/ (* x z) y)))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* y (+ x (/ (* x z) y)))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* y (+ x (/ (* x z) y)))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (* -1 z))))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ (* x y) (* x z))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(+ (* x y) (* x z))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(+ (* x y) (* x z))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* z (+ x (/ (* x y) z)))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* z (+ x (/ (* x y) z)))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* z (+ x (/ (* x y) z)))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(fma.f64 x (+.f64 y z) #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))

eval264.0ms (3%)

Memory
-9.6MiB live, 342.4MiB allocated
Compiler

Compiled 31 243 to 1 929 computations (93.8% saved)

prune297.0ms (3.4%)

Memory
25.9MiB live, 302.7MiB allocated
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New1 34051 345
Fresh123
Picked235
Done011
Total1 343111 354
Accuracy
100.0%
Counts
1 354 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.0%
(fma.f64 z (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
✓99.2%
(fma.f64 y x (*.f64 (+.f64 x #s(literal -1 binary64)) z))
✓73.1%
(fma.f64 y x (*.f64 x z))
72.6%
(fma.f64 y x (neg.f64 z))
▶46.8%
(fma.f64 x y #s(literal 0 binary64))
✓100.0%
(-.f64 (*.f64 (+.f64 z y) x) z)
▶57.0%
(-.f64 (*.f64 z x) z)
▶73.9%
(*.f64 (+.f64 z y) x)
▶31.7%
(*.f64 z x)
✓28.0%
(neg.f64 z)
▶2.7%
z
Compiler

Compiled 135 to 90 computations (33.3% saved)

simplify23.0ms (0.3%)

Memory
-4.7MiB live, 33.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 z x)
✓cost-diff0
(-.f64 (*.f64 z x) z)
✓cost-diff0
(fma.f64 x y #s(literal 0 binary64))
✓cost-diff-64
(*.f64 z x)
✓cost-diff-64
(*.f64 (+.f64 z y) x)
✓cost-diff0
(+.f64 z y)
Rules
368×accelerator-lowering-fma.f32
368×accelerator-lowering-fma.f64
208×*-lowering-*.f32
208×*-lowering-*.f64
104×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01033
11733
22433
33933
45133
57333
613933
724833
837933
956933
1058833
058833
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (+ z y) x)
(+ z y)
z
y
x
z
(* z x)
z
x
(+ (* x y) 0)
x
y
0
(- (* z x) z)
(* z x)
z
x
Outputs
(* (+ z y) x)
(fma.f64 (+.f64 z y) x #s(literal 0 binary64))
(+ z y)
(+.f64 z y)
z
y
x
z
(* z x)
(fma.f64 z x #s(literal 0 binary64))
z
x
(+ (* x y) 0)
(fma.f64 y x #s(literal 0 binary64))
x
y
0
#s(literal 0 binary64)
(- (* z x) z)
(fma.f64 z (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(* z x)
(fma.f64 z x #s(literal 0 binary64))
z
x

localize34.0ms (0.4%)

Memory
10.2MiB live, 86.0MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 z x)
✓accuracy100.0%
(-.f64 (*.f64 z x) z)
✓accuracy100.0%
(fma.f64 x y #s(literal 0 binary64))
✓accuracy100.0%
(*.f64 z x)
✓accuracy100.0%
(+.f64 z y)
✓accuracy100.0%
(*.f64 (+.f64 z y) x)
Samples
22.0ms256×0valid
Compiler

Compiled 36 to 12 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (57.4% of total)
ival-add: 3.0ms (28.7% of total)
ival-sub: 1.0ms (9.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
5.8MiB live, 5.7MiB allocated
Counts
5 → 132
Calls
Call 1
Inputs
#<alt (+ z y)>
#<alt (* (+ z y) x)>
#<alt (* z x)>
#<alt (+ (* x y) 0)>
#<alt (- (* z x) z)>
Outputs
#<alt y>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt z>
#<alt (* z (+ 1 (/ y z)))>
#<alt (* z (+ 1 (/ y z)))>
#<alt (* z (+ 1 (/ y z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ y z)) 1)))>
#<alt z>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt (+ y z)>
#<alt y>
#<alt (* y (+ 1 (/ z y)))>
#<alt (* y (+ 1 (/ z y)))>
#<alt (* y (+ 1 (/ z y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ z y)) 1)))>
#<alt (* x y)>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (* x z)>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* z (+ x (/ (* x y) z)))>
#<alt (* x z)>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))>
#<alt (* x z)>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (+ (* x y) (* x z))>
#<alt (* x y)>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* y (+ x (/ (* x z) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x (+ y z))>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<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 (- x 1))>
#<alt (* z (- x 1))>
#<alt (* z (- x 1))>
#<alt (* z (- x 1))>
#<alt (* z (- x 1))>
#<alt (* z (- x 1))>
#<alt (* z (- x 1))>
#<alt (* z (- x 1))>
#<alt (* -1 (* z (+ 1 (* -1 x))))>
#<alt (* -1 (* z (+ 1 (* -1 x))))>
#<alt (* -1 (* z (+ 1 (* -1 x))))>
#<alt (* -1 (* z (+ 1 (* -1 x))))>
#<alt (* -1 z)>
#<alt (- (* x z) z)>
#<alt (- (* x z) z)>
#<alt (- (* x z) z)>
#<alt (* x z)>
#<alt (* x (+ z (* -1 (/ z x))))>
#<alt (* x (+ z (* -1 (/ z x))))>
#<alt (* x (+ z (* -1 (/ z x))))>
#<alt (* x z)>
#<alt (* -1 (* x (+ (* -1 z) (/ z x))))>
#<alt (* -1 (* x (+ (* -1 z) (/ z x))))>
#<alt (* -1 (* x (+ (* -1 z) (/ z x))))>
Calls

33 calls:

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

rewrite444.0ms (5%)

Memory
-70.2MiB live, 659.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 820×accelerator-lowering-fma.f32
4 820×accelerator-lowering-fma.f64
3 732×*-lowering-*.f32
3 732×*-lowering-*.f64
2 182×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01019
15219
245419
3562019
0850419
Stop Event
1×iter limit
1×node limit
Counts
5 → 613
Calls
Call 1
Inputs
(+ z y)
(* (+ z y) x)
(* z x)
(+ (* x y) 0)
(- (* z x) z)
Outputs
(+.f64 z y)
(+.f64 y z)
(+.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 z y))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 z y))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y z)) (/.f64 (*.f64 z z) (-.f64 y z)))
(fma.f64 z (/.f64 z (-.f64 z y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 z y))))
(fma.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (-.f64 z y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 z y))))
(fma.f64 (/.f64 (*.f64 z z) (*.f64 (+.f64 z y) (-.f64 z y))) (+.f64 z y) (neg.f64 (/.f64 (*.f64 y y) (-.f64 z y))))
(fma.f64 (/.f64 (*.f64 z z) (*.f64 (fma.f64 z z (*.f64 y (+.f64 z y))) (-.f64 z y))) (fma.f64 z z (*.f64 y (+.f64 z y))) (neg.f64 (/.f64 (*.f64 y y) (-.f64 z y))))
(neg.f64 (/.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (-.f64 #s(literal 0 binary64) (fma.f64 z (-.f64 z y) (*.f64 y y)))))
(neg.f64 (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 #s(literal 0 binary64) (-.f64 z y))))
(neg.f64 (/.f64 (*.f64 (fma.f64 z z (*.f64 y (+.f64 z y))) (-.f64 z y)) (fma.f64 z (-.f64 z y) (*.f64 y y))))
(neg.f64 (/.f64 (*.f64 (+.f64 z y) (-.f64 #s(literal 0 binary64) (-.f64 z y))) (-.f64 z y)))
(/.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (fma.f64 z (-.f64 z y) (*.f64 y y)))
(/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (-.f64 z y))
(/.f64 (*.f64 (+.f64 z y) (-.f64 #s(literal 0 binary64) (-.f64 z y))) (-.f64 #s(literal 0 binary64) (-.f64 z y)))
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (*.f64 (fma.f64 z (-.f64 z y) (*.f64 y y)) (fma.f64 z (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))))))
(/.f64 (*.f64 (fma.f64 z z (*.f64 y (+.f64 z y))) (-.f64 z y)) (-.f64 #s(literal 0 binary64) (fma.f64 z (-.f64 z y) (*.f64 y y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (*.f64 (+.f64 z y) (-.f64 y z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 z y))))
(/.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (-.f64 y z))
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 z z (*.f64 y (+.f64 z y))) (-.f64 z y))) (*.f64 (fma.f64 z (-.f64 z y) (*.f64 y y)) (*.f64 (fma.f64 z z (*.f64 y (+.f64 z y))) (-.f64 z y))))
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 z z (*.f64 y (+.f64 z y))) (-.f64 z y))) (*.f64 (-.f64 z y) (fma.f64 z (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y y) (fma.f64 y y (*.f64 z z))))))
(/.f64 (*.f64 (fma.f64 y y (*.f64 z z)) (*.f64 (+.f64 z y) (-.f64 z y))) (*.f64 (-.f64 z y) (fma.f64 y y (*.f64 z z))))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z y)) (*.f64 (-.f64 z y) (*.f64 y y))) (*.f64 (-.f64 z y) (-.f64 z y)))
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) #s(literal 1 binary64)) (*.f64 (fma.f64 z (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (fma.f64 z (-.f64 z y) (*.f64 y y))))
(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 z z (*.f64 y (+.f64 z y))) (-.f64 z y))) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 z z (*.f64 y (+.f64 z y))) (-.f64 z y)) (fma.f64 z (-.f64 z y) (*.f64 y y))))
(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 z z (*.f64 y (+.f64 z y))) (-.f64 z y))) #s(literal 1 binary64)) (*.f64 (fma.f64 z (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y y) (fma.f64 y y (*.f64 z z)))) (-.f64 z y)))
(/.f64 (*.f64 (*.f64 (fma.f64 y y (*.f64 z z)) (*.f64 (+.f64 z y) (-.f64 z y))) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (*.f64 z z)) (-.f64 z y)))
(/.f64 (neg.f64 (*.f64 (fma.f64 z z (*.f64 y (+.f64 z y))) (-.f64 z y))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z (-.f64 z y) (*.f64 y y)))))
(/.f64 (neg.f64 (*.f64 (+.f64 z y) (-.f64 #s(literal 0 binary64) (-.f64 z y)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 z y))))
(/.f64 (neg.f64 (*.f64 (+.f64 z y) (-.f64 y z))) (neg.f64 (-.f64 y z)))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 z z) (-.f64 z y))) (/.f64 (*.f64 z z) (-.f64 z y))) (*.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y))) (/.f64 (*.f64 y y) (-.f64 z y)))) (fma.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 z z) (-.f64 z y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y)) (*.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 z z) (-.f64 z y)) (/.f64 (*.f64 z z) (-.f64 z y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y)))) (fma.f64 z (/.f64 z (-.f64 z y)) (/.f64 (*.f64 y y) (-.f64 z y))))
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (fma.f64 z (-.f64 z y) (*.f64 y y)))
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z y) (*.f64 y y)))) (fma.f64 z (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))))
(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 z z (*.f64 y (+.f64 z y))) (-.f64 z y))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z y) (*.f64 y y)))) (*.f64 (fma.f64 z z (*.f64 y (+.f64 z y))) (-.f64 z y)))
(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 z z (*.f64 y (+.f64 z y))) (-.f64 z y))) (/.f64 #s(literal 1 binary64) (-.f64 z y))) (fma.f64 z (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y y) (fma.f64 y y (*.f64 z z)))))
(/.f64 (*.f64 (*.f64 (fma.f64 y y (*.f64 z z)) (*.f64 (+.f64 z y) (-.f64 z y))) (/.f64 #s(literal 1 binary64) (-.f64 z y))) (fma.f64 y y (*.f64 z z)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 z y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 y z) (*.f64 (+.f64 z y) (-.f64 y z))) #s(literal -1 binary64))
(*.f64 (+.f64 z y) (*.f64 (-.f64 z y) (/.f64 #s(literal 1 binary64) (-.f64 z y))))
(*.f64 (+.f64 z y) (/.f64 (-.f64 z y) (-.f64 z y)))
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z y) (*.f64 y y))))
(*.f64 (fma.f64 z (-.f64 z y) (*.f64 y y)) (*.f64 (+.f64 z y) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z y) (*.f64 y y)))))
(*.f64 (fma.f64 z (-.f64 z y) (*.f64 y y)) (/.f64 (+.f64 z y) (fma.f64 z (-.f64 z y) (*.f64 y y))))
(*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 z y)))
(*.f64 (*.f64 (+.f64 z y) (-.f64 #s(literal 0 binary64) (-.f64 z y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 z y))))
(*.f64 (*.f64 (fma.f64 z z (*.f64 y (+.f64 z y))) (-.f64 z y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 z (-.f64 z y) (*.f64 y y)))))
(*.f64 #s(literal 1 binary64) (+.f64 z y))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z y) (*.f64 y y))) (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (*.f64 (+.f64 z y) (-.f64 z y)))
(*.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (-.f64 y z)))
(*.f64 (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (*.f64 (+.f64 z y) (-.f64 z y))) (+.f64 z y))
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 y z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (fma.f64 (*.f64 y (-.f64 y z)) (-.f64 (*.f64 y (-.f64 y z)) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z)))))
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 z (-.f64 z y) (*.f64 y y)) (-.f64 (*.f64 z z) (*.f64 y (-.f64 y z))))) (-.f64 (*.f64 z z) (*.f64 y (-.f64 y z))))
(*.f64 (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (*.f64 (fma.f64 z z (*.f64 y (+.f64 z y))) (-.f64 z y))) (fma.f64 z z (*.f64 y (+.f64 z y))))
(+.f64 (fma.f64 (+.f64 z y) x #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 (*.f64 z x) (fma.f64 y x #s(literal 0 binary64)))
(+.f64 (fma.f64 y x #s(literal 0 binary64)) (*.f64 z x))
(+.f64 (fma.f64 y x #s(literal 0 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 z x)))
(+.f64 #s(literal 0 binary64) (fma.f64 (+.f64 z y) x #s(literal 0 binary64)))
(+.f64 (fma.f64 z x #s(literal 0 binary64)) (fma.f64 y x #s(literal 0 binary64)))
(-.f64 (fma.f64 (+.f64 z y) x #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 z x)))
(fma.f64 z x (fma.f64 y x #s(literal 0 binary64)))
(fma.f64 y x (*.f64 z x))
(fma.f64 y x (+.f64 #s(literal 0 binary64) (*.f64 z x)))
(fma.f64 y (/.f64 (fma.f64 y (*.f64 x x) #s(literal 0 binary64)) (fma.f64 y x #s(literal 0 binary64))) (*.f64 z x))
(fma.f64 y (/.f64 (fma.f64 y (*.f64 x x) #s(literal 0 binary64)) (fma.f64 y x #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 z x)))
(fma.f64 y (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 z x))
(fma.f64 y (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (+.f64 #s(literal 0 binary64) (*.f64 z x)))
(fma.f64 y (*.f64 (fma.f64 y (*.f64 x x) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 0 binary64)))) (*.f64 z x))
(fma.f64 y (*.f64 (fma.f64 y (*.f64 x x) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 0 binary64)))) (+.f64 #s(literal 0 binary64) (*.f64 z x)))
(fma.f64 (+.f64 z y) x #s(literal 0 binary64))
(fma.f64 x z (fma.f64 y x #s(literal 0 binary64)))
(fma.f64 x y (*.f64 z x))
(fma.f64 x y (+.f64 #s(literal 0 binary64) (*.f64 z x)))
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
(fma.f64 x (/.f64 (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y x #s(literal 0 binary64))) (*.f64 z x))
(fma.f64 x (/.f64 (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y x #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 z x)))
(fma.f64 x (*.f64 (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 0 binary64)))) (*.f64 z x))
(fma.f64 x (*.f64 (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 0 binary64)))) (+.f64 #s(literal 0 binary64) (*.f64 z x)))
(fma.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 1 binary64) (*.f64 z x))
(fma.f64 (fma.f64 y x #s(literal 0 binary64)) #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (*.f64 z x)))
(fma.f64 (fma.f64 (fma.f64 y (*.f64 x x) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 z x))
(fma.f64 (fma.f64 (fma.f64 y (*.f64 x x) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 z x)))
(fma.f64 (fma.f64 y (fma.f64 y (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 0 binary64))) (*.f64 z x))
(fma.f64 (fma.f64 y (fma.f64 y (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 z x)))
(fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (fma.f64 y (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 z x))
(fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 y (fma.f64 y (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 z x)))
(fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 z x))
(fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (fma.f64 y (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64)))) (+.f64 #s(literal 0 binary64) (*.f64 z x)))
(fma.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z y) (*.f64 y y))) x) #s(literal 0 binary64))
(fma.f64 (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z))) (/.f64 x (fma.f64 z (-.f64 z y) (*.f64 y y))) #s(literal 0 binary64))
(fma.f64 (*.f64 y y) (/.f64 (*.f64 x x) (fma.f64 y x #s(literal 0 binary64))) (*.f64 z x))
(fma.f64 (*.f64 y y) (/.f64 (*.f64 x x) (fma.f64 y x #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 z x)))
(fma.f64 (*.f64 y y) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 0 binary64)))) (*.f64 z x))
(fma.f64 (*.f64 y y) (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 0 binary64)))) (+.f64 #s(literal 0 binary64) (*.f64 z x)))
(fma.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) x) #s(literal 0 binary64))
(fma.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (/.f64 x (-.f64 z y)) #s(literal 0 binary64))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (fma.f64 y (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 z x))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (fma.f64 y (*.f64 x x) #s(literal 0 binary64)) #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 z x)))
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z (*.f64 x x) (-.f64 #s(literal 0 binary64) z))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z x z))))
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(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 z x))) (fma.f64 z x z)) (/.f64 (*.f64 x (*.f64 z (*.f64 z x))) (fma.f64 z x z))) (/.f64 (*.f64 x (*.f64 z (*.f64 z x))) (fma.f64 z x z))) (*.f64 (*.f64 (/.f64 (*.f64 z z) (fma.f64 z x z)) (/.f64 (*.f64 z z) (fma.f64 z x z))) (/.f64 (*.f64 z z) (fma.f64 z x z)))) (fma.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 z x))) (fma.f64 z x z)) (/.f64 (*.f64 x (*.f64 z (*.f64 z x))) (fma.f64 z x z)) (fma.f64 (/.f64 (*.f64 z z) (fma.f64 z x z)) (/.f64 (*.f64 z z) (fma.f64 z x z)) (*.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 z x))) (fma.f64 z x z)) (/.f64 (*.f64 z z) (fma.f64 z x z))))))
(/.f64 (-.f64 (*.f64 z z) (*.f64 x (*.f64 z (*.f64 z x)))) (-.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 z x)))
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 z x))) (fma.f64 z x z)) (/.f64 (*.f64 x (*.f64 z (*.f64 z x))) (fma.f64 z x z))) (*.f64 (/.f64 (*.f64 z z) (fma.f64 z x z)) (/.f64 (*.f64 z z) (fma.f64 z x z)))) (fma.f64 (*.f64 z x) (/.f64 (*.f64 z x) (fma.f64 z x z)) (/.f64 (*.f64 z z) (fma.f64 z x z))))
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(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 z (*.f64 x x) (fma.f64 z x z))))) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 z (*.f64 z z))))
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 z x z))) (fma.f64 (*.f64 x (*.f64 z (*.f64 z x))) (*.f64 x (*.f64 z (*.f64 z x))) (*.f64 (*.f64 z z) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 z z)))))
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 z z)) (*.f64 z (fma.f64 z (*.f64 x x) (-.f64 #s(literal 0 binary64) z)))) (/.f64 #s(literal 1 binary64) (fma.f64 z x z))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 z z)))
(/.f64 (/.f64 (*.f64 z (fma.f64 z (*.f64 x x) (-.f64 #s(literal 0 binary64) z))) (+.f64 x #s(literal 1 binary64))) z)
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 z (+.f64 x #s(literal -1 binary64)))
(*.f64 z (+.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 z (*.f64 x x) (fma.f64 z x z)))))
(*.f64 (*.f64 z (fma.f64 z (*.f64 x x) (fma.f64 z x z))) (*.f64 (*.f64 z (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 z (*.f64 x x) (fma.f64 z x z))))))
(*.f64 (*.f64 z (fma.f64 z (*.f64 x x) (fma.f64 z x z))) (/.f64 (*.f64 z (+.f64 x #s(literal -1 binary64))) (*.f64 z (fma.f64 z (*.f64 x x) (fma.f64 z x z)))))
(*.f64 (*.f64 z (fma.f64 z (*.f64 x x) (-.f64 #s(literal 0 binary64) z))) (/.f64 #s(literal 1 binary64) (fma.f64 z x z)))
(*.f64 (fma.f64 z x z) (*.f64 (*.f64 z (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z x z))))
(*.f64 (fma.f64 z x z) (/.f64 (*.f64 z (+.f64 x #s(literal -1 binary64))) (fma.f64 z x z)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z (*.f64 x x) (fma.f64 z x z))))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z (*.f64 x x) (-.f64 #s(literal 0 binary64) z)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 z x z))))
(*.f64 #s(literal 1 binary64) (*.f64 z (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 z (*.f64 x x) (fma.f64 z x z)))) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 z (*.f64 z z))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z x z)) (*.f64 z (fma.f64 z (*.f64 x x) (-.f64 #s(literal 0 binary64) z))))
(*.f64 (/.f64 (fma.f64 z x z) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 z (+.f64 x #s(literal -1 binary64))) z))
(*.f64 (/.f64 (*.f64 z (fma.f64 z (*.f64 x x) (-.f64 #s(literal 0 binary64) z))) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 z (*.f64 z z)))) (-.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 z z)) (*.f64 z (*.f64 z x))))
(*.f64 (/.f64 (*.f64 z (fma.f64 z (*.f64 x x) (-.f64 #s(literal 0 binary64) z))) (*.f64 z (fma.f64 z (*.f64 x x) (-.f64 #s(literal 0 binary64) z)))) (*.f64 z (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 z (*.f64 z z))) (fma.f64 (*.f64 z (fma.f64 z x z)) (*.f64 (*.f64 z (fma.f64 z x z)) (*.f64 z (fma.f64 z x z))) (*.f64 (*.f64 (*.f64 z x) (*.f64 x (*.f64 z (*.f64 z x)))) (*.f64 (*.f64 z x) (*.f64 x (*.f64 z (*.f64 z x))))))) (fma.f64 (*.f64 z (fma.f64 z x z)) (-.f64 (*.f64 z (fma.f64 z x z)) (*.f64 x (*.f64 z (*.f64 z x)))) (*.f64 (*.f64 z x) (*.f64 (*.f64 z x) (*.f64 x (*.f64 z (*.f64 z x)))))))
(*.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 z (fma.f64 z (*.f64 x x) (fma.f64 z x z))) (*.f64 z (-.f64 (*.f64 z (*.f64 x x)) (fma.f64 z x z))))) (*.f64 z (-.f64 (*.f64 z (*.f64 x x)) (fma.f64 z x z))))

simplify377.0ms (4.3%)

Memory
13.7MiB live, 444.7MiB allocated
Algorithm
1×egg-herbie
Rules
4 900×accelerator-lowering-fma.f32
4 900×accelerator-lowering-fma.f64
2 948×*-lowering-*.f32
2 948×*-lowering-*.f64
2 664×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053485
1179485
2480485
31265485
42505485
53398485
64192485
74989485
85397485
95588485
107257485
117745485
08017485
Stop Event
1×iter limit
1×node limit
Counts
132 → 132
Calls
Call 1
Inputs
y
(+ y z)
(+ y z)
(+ y z)
z
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
(* z (+ 1 (/ y z)))
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
(* -1 (* z (- (* -1 (/ y z)) 1)))
z
(+ y z)
(+ y z)
(+ y z)
y
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
(* y (+ 1 (/ z y)))
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* -1 (* y (- (* -1 (/ z y)) 1)))
(* x y)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x z)
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* z (+ x (/ (* x y) z)))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(* x z)
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(+ (* x y) (* x z))
(* x y)
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* y (+ x (/ (* x z) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x (+ y z))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* 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 (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* z (- x 1))
(* -1 (* z (+ 1 (* -1 x))))
(* -1 (* z (+ 1 (* -1 x))))
(* -1 (* z (+ 1 (* -1 x))))
(* -1 (* z (+ 1 (* -1 x))))
(* -1 z)
(- (* x z) z)
(- (* x z) z)
(- (* x z) z)
(* x z)
(* x (+ z (* -1 (/ z x))))
(* x (+ z (* -1 (/ z x))))
(* x (+ z (* -1 (/ z x))))
(* x z)
(* -1 (* x (+ (* -1 z) (/ z x))))
(* -1 (* x (+ (* -1 z) (/ z x))))
(* -1 (* x (+ (* -1 z) (/ z x))))
Outputs
y
(+ y z)
(+.f64 y z)
(+ y z)
(+.f64 y z)
(+ y z)
(+.f64 y z)
z
(* z (+ 1 (/ y z)))
(+.f64 y z)
(* z (+ 1 (/ y z)))
(+.f64 y z)
(* z (+ 1 (/ y z)))
(+.f64 y z)
z
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 y z)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 y z)
(* -1 (* z (- (* -1 (/ y z)) 1)))
(+.f64 y z)
z
(+ y z)
(+.f64 y z)
(+ y z)
(+.f64 y z)
(+ y z)
(+.f64 y z)
y
(* y (+ 1 (/ z y)))
(+.f64 y z)
(* y (+ 1 (/ z y)))
(+.f64 y z)
(* y (+ 1 (/ z y)))
(+.f64 y z)
y
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 y z)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 y z)
(* -1 (* y (- (* -1 (/ z y)) 1)))
(+.f64 y z)
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(+ (* x y) (* x z))
(fma.f64 (+.f64 y z) x #s(literal 0 binary64))
(+ (* x y) (* x z))
(fma.f64 (+.f64 y z) x #s(literal 0 binary64))
(+ (* x y) (* x z))
(fma.f64 (+.f64 y z) x #s(literal 0 binary64))
(* x z)
(fma.f64 z x #s(literal 0 binary64))
(* z (+ x (/ (* x y) z)))
(fma.f64 (+.f64 y z) x #s(literal 0 binary64))
(* z (+ x (/ (* x y) z)))
(fma.f64 (+.f64 y z) x #s(literal 0 binary64))
(* z (+ x (/ (* x y) z)))
(fma.f64 (+.f64 y z) x #s(literal 0 binary64))
(* x z)
(fma.f64 z x #s(literal 0 binary64))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(fma.f64 (+.f64 y z) x #s(literal 0 binary64))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(fma.f64 (+.f64 y z) x #s(literal 0 binary64))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* x y) z)))))
(fma.f64 (+.f64 y z) x #s(literal 0 binary64))
(* x z)
(fma.f64 z x #s(literal 0 binary64))
(+ (* x y) (* x z))
(fma.f64 (+.f64 y z) x #s(literal 0 binary64))
(+ (* x y) (* x z))
(fma.f64 (+.f64 y z) x #s(literal 0 binary64))
(+ (* x y) (* x z))
(fma.f64 (+.f64 y z) x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* y (+ x (/ (* x z) y)))
(fma.f64 (+.f64 y z) x #s(literal 0 binary64))
(* y (+ x (/ (* x z) y)))
(fma.f64 (+.f64 y z) x #s(literal 0 binary64))
(* y (+ x (/ (* x z) y)))
(fma.f64 (+.f64 y z) x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(fma.f64 (+.f64 y z) x #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(fma.f64 (+.f64 y z) x #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x z) y)))))
(fma.f64 (+.f64 y z) x #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 (+.f64 y z) x #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 (+.f64 y z) x #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 (+.f64 y z) x #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 (+.f64 y z) x #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 (+.f64 y z) x #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 (+.f64 y z) x #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 (+.f64 y z) x #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 (+.f64 y z) x #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 (+.f64 y z) x #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 (+.f64 y z) x #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 (+.f64 y z) x #s(literal 0 binary64))
(* x (+ y z))
(fma.f64 (+.f64 y z) x #s(literal 0 binary64))
(* x z)
(fma.f64 z x #s(literal 0 binary64))
(* x z)
(fma.f64 z x #s(literal 0 binary64))
(* x z)
(fma.f64 z x #s(literal 0 binary64))
(* x z)
(fma.f64 z x #s(literal 0 binary64))
(* x z)
(fma.f64 z x #s(literal 0 binary64))
(* x z)
(fma.f64 z x #s(literal 0 binary64))
(* x z)
(fma.f64 z x #s(literal 0 binary64))
(* x z)
(fma.f64 z x #s(literal 0 binary64))
(* x z)
(fma.f64 z x #s(literal 0 binary64))
(* x z)
(fma.f64 z x #s(literal 0 binary64))
(* x z)
(fma.f64 z x #s(literal 0 binary64))
(* x z)
(fma.f64 z x #s(literal 0 binary64))
(* x z)
(fma.f64 z x #s(literal 0 binary64))
(* x z)
(fma.f64 z x #s(literal 0 binary64))
(* x z)
(fma.f64 z x #s(literal 0 binary64))
(* x z)
(fma.f64 z x #s(literal 0 binary64))
(* x z)
(fma.f64 z x #s(literal 0 binary64))
(* x z)
(fma.f64 z x #s(literal 0 binary64))
(* x z)
(fma.f64 z x #s(literal 0 binary64))
(* x z)
(fma.f64 z x #s(literal 0 binary64))
(* x z)
(fma.f64 z x #s(literal 0 binary64))
(* x z)
(fma.f64 z x #s(literal 0 binary64))
(* x z)
(fma.f64 z x #s(literal 0 binary64))
(* x z)
(fma.f64 z x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* z (- x 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* z (- x 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* z (- x 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* z (- x 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* z (- x 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* z (- x 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* z (- x 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* z (- x 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* -1 (* z (+ 1 (* -1 x))))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* -1 (* z (+ 1 (* -1 x))))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* -1 (* z (+ 1 (* -1 x))))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* -1 (* z (+ 1 (* -1 x))))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(- (* x z) z)
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(- (* x z) z)
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(- (* x z) z)
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* x z)
(fma.f64 z x #s(literal 0 binary64))
(* x (+ z (* -1 (/ z x))))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* x (+ z (* -1 (/ z x))))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* x (+ z (* -1 (/ z x))))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* x z)
(fma.f64 z x #s(literal 0 binary64))
(* -1 (* x (+ (* -1 z) (/ z x))))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 z) (/ z x))))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 z) (/ z x))))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))

eval298.0ms (3.4%)

Memory
-4.1MiB live, 201.6MiB allocated
Compiler

Compiled 15 721 to 1 122 computations (92.9% saved)

prune199.0ms (2.3%)

Memory
-0.3MiB live, 192.8MiB allocated
Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New7712773
Fresh112
Picked235
Done044
Total77410784
Accuracy
100.0%
Counts
784 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.2%
(fma.f64 y x (*.f64 (+.f64 x #s(literal -1 binary64)) z))
✓73.1%
(fma.f64 y x (*.f64 x z))
72.6%
(fma.f64 y x (neg.f64 z))
✓100.0%
(-.f64 (*.f64 (+.f64 z y) x) z)
✓73.9%
(*.f64 (+.f64 z y) x)
57.0%
(*.f64 z (+.f64 x #s(literal -1 binary64)))
✓31.7%
(*.f64 z x)
46.8%
(*.f64 y x)
✓28.0%
(neg.f64 z)
✓2.7%
z
Compiler

Compiled 194 to 84 computations (56.7% saved)

regimes32.0ms (0.4%)

Memory
10.4MiB live, 85.2MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
z
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
(*.f64 y x)
(*.f64 z x)
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 z x #s(literal 0 binary64))
(*.f64 z (+.f64 x #s(literal -1 binary64)))
(*.f64 (+.f64 z y) x)
(-.f64 (*.f64 z x) z)
(fma.f64 y x (neg.f64 z))
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
(fma.f64 y x (-.f64 #s(literal 0 binary64) z))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(fma.f64 z (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) z))
(-.f64 (*.f64 (+.f64 z y) x) z)
(fma.f64 y x (*.f64 x z))
(-.f64 (fma.f64 x (+.f64 z y) #s(literal 0 binary64)) z)
(+.f64 (*.f64 x y) (*.f64 x z))
(fma.f64 y x (*.f64 (+.f64 x #s(literal -1 binary64)) z))
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
Outputs
(-.f64 (*.f64 (+.f64 z y) x) z)
Calls

4 calls:

9.0ms
z
8.0ms
x
7.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
7.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes32.0ms (0.4%)

Memory
2.8MiB live, 76.6MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
z
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
(*.f64 y x)
(*.f64 z x)
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 z x #s(literal 0 binary64))
(*.f64 z (+.f64 x #s(literal -1 binary64)))
(*.f64 (+.f64 z y) x)
(-.f64 (*.f64 z x) z)
(fma.f64 y x (neg.f64 z))
(fma.f64 x (+.f64 z y) #s(literal 0 binary64))
(fma.f64 y x (-.f64 #s(literal 0 binary64) z))
(fma.f64 z (+.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(fma.f64 z (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 (*.f64 x y) (-.f64 #s(literal 0 binary64) z))
Outputs
(*.f64 (+.f64 z y) x)
(fma.f64 y x (neg.f64 z))
(*.f64 (+.f64 z y) x)
Calls

4 calls:

11.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
9.0ms
x
5.0ms
y
5.0ms
z
Results
AccuracySegmentsBranch
99.3%3x
88.8%3y
89.0%5z
84.2%3(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes10.0ms (0.1%)

Memory
-14.7MiB live, 23.1MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
z
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
(*.f64 y x)
(*.f64 z x)
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 z x #s(literal 0 binary64))
(*.f64 z (+.f64 x #s(literal -1 binary64)))
(*.f64 (+.f64 z y) x)
(-.f64 (*.f64 z x) z)
Outputs
(*.f64 (+.f64 z y) x)
(neg.f64 z)
(*.f64 (+.f64 z y) x)
Calls

2 calls:

4.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
83.1%3y
87.4%3x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes13.0ms (0.2%)

Memory
35.6MiB live, 35.6MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
z
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
(*.f64 y x)
(*.f64 z x)
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 z x #s(literal 0 binary64))
(*.f64 z (+.f64 x #s(literal -1 binary64)))
Outputs
(*.f64 y x)
(*.f64 z (+.f64 x #s(literal -1 binary64)))
(*.f64 y x)
Calls

4 calls:

3.0ms
z
3.0ms
y
3.0ms
x
3.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
Results
AccuracySegmentsBranch
78.3%3y
61.1%2(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
72.3%3z
62.5%3x
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes7.0ms (0.1%)

Memory
-22.8MiB live, 16.7MiB allocated
Counts
7 → 4
Calls
Call 1
Inputs
z
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
(*.f64 y x)
(*.f64 z x)
(fma.f64 x y #s(literal 0 binary64))
(fma.f64 z x #s(literal 0 binary64))
Outputs
(*.f64 y x)
(neg.f64 z)
(*.f64 z x)
(*.f64 y x)
Calls

2 calls:

4.0ms
y
3.0ms
z
Results
AccuracySegmentsBranch
58.1%3z
64.9%4y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0.1%)

Memory
18.9MiB live, 18.9MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
z
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
(*.f64 y x)
Outputs
(*.f64 y x)
(neg.f64 z)
(*.f64 y x)
Calls

3 calls:

2.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
60.5%3x
52.1%3(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
55.8%3y
Compiler

Compiled 20 to 14 computations (30% saved)

regimes15.0ms (0.2%)

Memory
-20.3MiB live, 22.0MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
z
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
Outputs
(neg.f64 z)
Calls

4 calls:

8.0ms
z
2.0ms
y
2.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
2.0ms
x
Results
AccuracySegmentsBranch
28.0%1(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
28.0%1y
28.0%1z
28.0%1x
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes5.0ms (0.1%)

Memory
16.7MiB live, 16.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
1.0ms
y
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
2.7%1x
2.7%1y
2.7%1z
2.7%1(+.f64 (*.f64 x y) (*.f64 (-.f64 x #s(literal 1 binary64)) z))
Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch28.0ms (0.3%)

Memory
-20.0MiB live, 58.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
1.1714239462156695e-26
7.776296035022028e-20
13.0ms
-4269553870.846106
-2.135943981522327e-6
Samples
16.0ms304×0valid
Compiler

Compiled 357 to 242 computations (32.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (51.8% of total)
ival-add: 2.0ms (25.9% of total)
ival-sub: 1.0ms (12.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch27.0ms (0.3%)

Memory
14.5MiB live, 53.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
5.6286718572648025e-93
2.0100727434504846e-83
12.0ms
-1.7608212482290317e-65
-1.628684468933823e-79
Samples
16.0ms304×0valid
Compiler

Compiled 300 to 223 computations (25.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (56.5% of total)
ival-sub: 1.0ms (14.1% of total)
ival-add: 1.0ms (14.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch31.0ms (0.4%)

Memory
-30.1MiB live, 30.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
23.0ms
1.1236875173172815e+83
7.324091243240302e+85
6.0ms
-1.3513678167541612e-19
-4.545496108297971e-20
Samples
23.0ms208×0valid
Compiler

Compiled 223 to 170 computations (23.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (62.1% of total)
ival-sub: 1.0ms (20.7% of total)
ival-add: 1.0ms (20.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch32.0ms (0.4%)

Memory
8.0MiB live, 47.3MiB allocated
Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
2.0966764993145457e-81
2.2946742711667343e-54
6.0ms
-7.588996849547104e-83
-2.9271772567583357e-83
6.0ms
-1.3513678167541612e-19
-4.545496108297971e-20
Samples
19.0ms336×0valid
Compiler

Compiled 299 to 224 computations (25.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (65.2% of total)
ival-sub: 2.0ms (18.6% of total)
ival-add: 1.0ms (9.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch25.0ms (0.3%)

Memory
17.2MiB live, 55.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
5.6286718572648025e-93
2.0100727434504846e-83
11.0ms
-2.135943981522327e-6
-3.44096920447467e-10
Samples
14.0ms272×0valid
Compiler

Compiled 236 to 184 computations (22% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (61.8% of total)
ival-sub: 1.0ms (12.4% of total)
ival-add: 1.0ms (12.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify12.0ms (0.1%)

Memory
-13.7MiB live, 25.3MiB allocated
Algorithm
1×egg-herbie
Rules
10×*-commutative_binary64
8×+-commutative_binary64
8×if-if-or-not_binary32
4×sub-neg_binary64
2×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04599
16799
27099
37199
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 (+.f64 z y) x) z)
(if (<=.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 z y) x) (if (<=.f64 x #s(literal 3156916489989175/41538374868278621028243970633760768 binary64)) (fma.f64 y x (neg.f64 z)) (*.f64 (+.f64 z y) x)))
(if (<=.f64 x #s(literal -5051849221309525/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) (*.f64 (+.f64 z y) x) (if (<=.f64 x #s(literal 3827688768370271/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 binary64)) (neg.f64 z) (*.f64 (+.f64 z y) x)))
(if (<=.f64 y #s(literal -5399988732876221/41538374868278621028243970633760768 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal 114999999999999997476778271452110590593500590029372946729645710608197274836718845952 binary64)) (*.f64 z (+.f64 x #s(literal -1 binary64))) (*.f64 y x)))
(if (<=.f64 y #s(literal -7975367974709495/166153499473114484112975882535043072 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal -213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal 5176309760092923/6901746346790563787434755862277025452451108972170386555162524223799296 binary64)) (*.f64 z x) (*.f64 y x))))
(if (<=.f64 x #s(literal -1450710983537555/604462909807314587353088 binary64)) (*.f64 y x) (if (<=.f64 x #s(literal 8475596558534171/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) (neg.f64 z) (*.f64 y x)))
(neg.f64 z)
z
Outputs
(-.f64 (*.f64 (+.f64 z y) x) z)
(if (<=.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 z y) x) (if (<=.f64 x #s(literal 3156916489989175/41538374868278621028243970633760768 binary64)) (fma.f64 y x (neg.f64 z)) (*.f64 (+.f64 z y) x)))
(if (<=.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 z y) x) (if (<=.f64 x #s(literal 3156916489989175/41538374868278621028243970633760768 binary64)) (fma.f64 y x (-.f64 #s(literal 0 binary64) z)) (*.f64 (+.f64 z y) x)))
(if (<=.f64 x #s(literal -5051849221309525/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) (*.f64 (+.f64 z y) x) (if (<=.f64 x #s(literal 3827688768370271/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 binary64)) (neg.f64 z) (*.f64 (+.f64 z y) x)))
(if (<=.f64 x #s(literal -5051849221309525/16296287810675888690147565507275025288411747149327490005089123594835050398106693649467179008 binary64)) (*.f64 (+.f64 z y) x) (if (<=.f64 x #s(literal 3827688768370271/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 binary64)) (-.f64 #s(literal 0 binary64) z) (*.f64 (+.f64 z y) x)))
(if (<=.f64 y #s(literal -5399988732876221/41538374868278621028243970633760768 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal 114999999999999997476778271452110590593500590029372946729645710608197274836718845952 binary64)) (*.f64 z (+.f64 x #s(literal -1 binary64))) (*.f64 y x)))
(if (<=.f64 y #s(literal -7975367974709495/166153499473114484112975882535043072 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal -213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) (neg.f64 z) (if (<=.f64 y #s(literal 5176309760092923/6901746346790563787434755862277025452451108972170386555162524223799296 binary64)) (*.f64 z x) (*.f64 y x))))
(if (<=.f64 y #s(literal -7975367974709495/166153499473114484112975882535043072 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal -213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) (-.f64 #s(literal 0 binary64) z) (if (<=.f64 y #s(literal 5176309760092923/6901746346790563787434755862277025452451108972170386555162524223799296 binary64)) (*.f64 z x) (*.f64 y x))))
(if (<=.f64 x #s(literal -1450710983537555/604462909807314587353088 binary64)) (*.f64 y x) (if (<=.f64 x #s(literal 8475596558534171/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) (neg.f64 z) (*.f64 y x)))
(if (<=.f64 x #s(literal -1450710983537555/604462909807314587353088 binary64)) (*.f64 y x) (if (<=.f64 x #s(literal 8475596558534171/546812681195752981093125556779405341338292357723303109106442651602488249799843980805878294255763456 binary64)) (-.f64 #s(literal 0 binary64) z) (*.f64 y x)))
(neg.f64 z)
(-.f64 #s(literal 0 binary64) z)
z

soundness2.0s (22.6%)

Memory
25.9MiB live, 1 090.4MiB allocated
Rules
9 326×accelerator-lowering-fma.f32
9 326×accelerator-lowering-fma.f64
7 034×accelerator-lowering-fma.f32
7 034×accelerator-lowering-fma.f64
6 618×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01643
112742
2113342
0837541
01536
110135
294233
0973831
054467
1180440
2532440
31340440
44413440
08105440
01171075
13991075
211581075
326441075
450231075
568401075
679141075
082091075
0911025
1313971
2880971
32218971
44188971
55584971
66453971
77494971
08008971
01019
15219
245419
3562019
0850419
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 333 to 202 computations (39.3% saved)

preprocess125.0ms (1.4%)

Memory
-12.6MiB live, 125.1MiB allocated
Compiler

Compiled 262 to 108 computations (58.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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