Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, C

Time bar (total: 10.4s)

analyze220.0ms (2.1%)

Memory
33.3MiB live, 230.9MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
0%0%99.8%0.2%0%0%0%5
0%0%99.8%0.2%0%0%0%6
0%0%99.8%0.2%0%0%0%7
50%49.9%49.9%0.2%0%0%0%8
50%49.9%49.9%0.2%0%0%0%9
50%49.9%49.9%0.2%0%0%0%10
50%49.9%49.9%0.2%0%0%0%11
75%74.9%25%0.2%0%0%0%12
Compiler

Compiled 13 to 12 computations (7.7% saved)

sample852.0ms (8.2%)

Memory
0.4MiB live, 1 879.4MiB allocated
Samples
539.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 298.0ms
ival-div: 152.0ms (51.1% of total)
ival-sub: 77.0ms (25.9% of total)
ival-mult: 54.0ms (18.1% of total)
ival-true: 6.0ms (2% of total)
exact: 5.0ms (1.7% of total)
ival-assert: 3.0ms (1% of total)
Bogosity

preprocess410.0ms (4%)

Memory
-21.3MiB live, 179.2MiB allocated
Algorithm
2×egg-herbie
Rules
1 442×unsub-neg
1 216×distribute-rgt-in
1 150×distribute-lft-in
780×times-frac
770×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055175
1128171
2325166
31211165
43493165
55347165
65996165
76088165
86125165
96155165
106736165
116880165
126888165
136888165
146888165
157196165
167741165
177889165
187893165
197909165
207925165
217925165
227925165
01011
11711
23411
37611
415211
529111
665311
7135011
8181511
9192811
10194911
11196511
12197711
0197711
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(* x (- (/ y z) (/ t (- 1 z))))
Outputs
(* x (- (/ y z) (/ t (- 1 z))))
(fma.f64 x (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))) #s(literal 0 binary64))
Call 2
Inputs
(* x (- (/ y z) (/ t (- 1 z))))
(* (neg x) (- (/ y z) (/ t (- 1 z))))
(* x (- (/ (neg y) z) (/ t (- 1 z))))
(* x (- (/ y (neg z)) (/ t (- 1 (neg z)))))
(* x (- (/ y z) (/ (neg t) (- 1 z))))
(neg (* (neg x) (- (/ y z) (/ t (- 1 z)))))
(neg (* x (- (/ (neg y) z) (/ t (- 1 z)))))
(neg (* x (- (/ y (neg z)) (/ t (- 1 (neg z))))))
(neg (* x (- (/ y z) (/ (neg t) (- 1 z)))))
(* y (- (/ x z) (/ t (- 1 z))))
(* z (- (/ y x) (/ t (- 1 x))))
(* t (- (/ y z) (/ x (- 1 z))))
(* x (- (/ z y) (/ t (- 1 y))))
(* x (- (/ t z) (/ y (- 1 z))))
(* x (- (/ y t) (/ z (- 1 t))))
Outputs
(* x (- (/ y z) (/ t (- 1 z))))
(* x (+ (/ y z) (/ t (+ z -1))))
(* (neg x) (- (/ y z) (/ t (- 1 z))))
(* x (- (/ t (- 1 z)) (/ y z)))
(* x (- (/ (neg y) z) (/ t (- 1 z))))
(* x (- (/ t (+ z -1)) (/ y z)))
(* x (- (/ y (neg z)) (/ t (- 1 (neg z)))))
(* x (- (/ t (- -1 z)) (/ y z)))
(* x (- (/ y z) (/ (neg t) (- 1 z))))
(* x (+ (/ y z) (/ t (- 1 z))))
(neg (* (neg x) (- (/ y z) (/ t (- 1 z)))))
(* x (+ (/ y z) (/ t (+ z -1))))
(neg (* x (- (/ (neg y) z) (/ t (- 1 z)))))
(* x (+ (/ y z) (/ t (- 1 z))))
(neg (* x (- (/ y (neg z)) (/ t (- 1 (neg z))))))
(* x (+ (/ y z) (/ t (+ z 1))))
(neg (* x (- (/ y z) (/ (neg t) (- 1 z)))))
(* x (- (/ t (+ z -1)) (/ y z)))
(* y (- (/ x z) (/ t (- 1 z))))
(* y (+ (/ x z) (/ t (+ z -1))))
(* z (- (/ y x) (/ t (- 1 x))))
(* z (+ (/ y x) (/ t (+ x -1))))
(* t (- (/ y z) (/ x (- 1 z))))
(* t (+ (/ y z) (/ x (+ z -1))))
(* x (- (/ z y) (/ t (- 1 y))))
(* x (+ (/ z y) (/ t (+ y -1))))
(* x (- (/ t z) (/ y (- 1 z))))
(* x (+ (/ t z) (/ y (+ z -1))))
(* x (- (/ y t) (/ z (- 1 t))))
(* x (+ (/ y t) (/ z (+ t -1))))
Symmetry

(negabs x)

explain151.0ms (1.5%)

Memory
-8.5MiB live, 235.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
100-0-(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
00-0-(-.f64 #s(literal 1 binary64) z)
00-0-#s(literal 1 binary64)
00-0-t
00-0-z
00-0-(/.f64 y z)
00-0-(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))
00-0-y
00-0-(/.f64 t (-.f64 #s(literal 1 binary64) z))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))n*u60
*.f64(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))n*o40
Confusion
Predicted +Predicted -
+100
-0246
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+1000
-00246
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0246
110
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
62.0ms512×0valid
Compiler

Compiled 106 to 44 computations (58.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 8.0ms (49.4% of total)
ival-sub: 5.0ms (30.9% of total)
ival-mult: 3.0ms (18.5% 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
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶96.5%
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify61.0ms (0.6%)

Memory
7.2MiB live, 84.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 #s(literal 1 binary64) z)
✓cost-diff0
(/.f64 t (-.f64 #s(literal 1 binary64) z))
✓cost-diff0
(/.f64 y z)
✓cost-diff0
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))
Rules
688×accelerator-lowering-fma.f32
688×accelerator-lowering-fma.f64
480×*-lowering-*.f32
480×*-lowering-*.f64
346×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
11736
23436
37636
415236
529136
665336
7135036
8181536
9192836
10194936
11196536
12197736
0197736
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* x (- (/ y z) (/ t (- 1 z))))
x
(- (/ y z) (/ t (- 1 z)))
(/ y z)
y
z
(/ t (- 1 z))
t
(- 1 z)
1
Outputs
(* x (- (/ y z) (/ t (- 1 z))))
(fma.f64 x (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))) #s(literal 0 binary64))
x
(- (/ y z) (/ t (- 1 z)))
(+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(/ y z)
(/.f64 y z)
y
z
(/ t (- 1 z))
(/.f64 t (-.f64 #s(literal 1 binary64) z))
t
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)

localize28.0ms (0.3%)

Memory
18.2MiB live, 56.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) z)
✓accuracy100.0%
(/.f64 t (-.f64 #s(literal 1 binary64) z))
✓accuracy100.0%
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))
✓accuracy96.6%
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
Samples
19.0ms256×0valid
Compiler

Compiled 38 to 12 computations (68.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 4.0ms (39.9% of total)
ival-mult: 3.0ms (30% of total)
ival-sub: 2.0ms (20% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory
-11.7MiB live, 28.6MiB allocated
Counts
5 → 144
Calls
Call 1
Inputs
#<alt (- (/ y z) (/ t (- 1 z)))>
#<alt (/ y z)>
#<alt (/ t (- 1 z))>
#<alt (- 1 z)>
#<alt (* x (- (/ y z) (/ t (- 1 z))))>
Outputs
#<alt (* -1 (/ t (- 1 z)))>
#<alt (- (/ y z) (/ t (- 1 z)))>
#<alt (- (/ y z) (/ t (- 1 z)))>
#<alt (- (/ y z) (/ t (- 1 z)))>
#<alt (/ y z)>
#<alt (* y (+ (* -1 (/ t (* y (- 1 z)))) (/ 1 z)))>
#<alt (* y (+ (* -1 (/ t (* y (- 1 z)))) (/ 1 z)))>
#<alt (* y (+ (* -1 (/ t (* y (- 1 z)))) (/ 1 z)))>
#<alt (/ y z)>
#<alt (* -1 (* y (- (/ t (* y (- 1 z))) (/ 1 z))))>
#<alt (* -1 (* y (- (/ t (* y (- 1 z))) (/ 1 z))))>
#<alt (* -1 (* y (- (/ t (* y (- 1 z))) (/ 1 z))))>
#<alt (/ y z)>
#<alt (/ (+ y (* -1 (* t z))) z)>
#<alt (/ (+ y (* z (- (* -1 (* t z)) t))) z)>
#<alt (/ (+ y (* z (- (* z (+ (* -1 t) (* -1 (* t z)))) t))) z)>
#<alt (/ (- y (* -1 t)) z)>
#<alt (/ (- (+ y (/ t z)) (* -1 t)) z)>
#<alt (/ (- (+ y (+ (/ t z) (/ t (pow z 2)))) (* -1 t)) z)>
#<alt (/ (- (+ y (+ (/ t z) (+ (/ t (pow z 2)) (/ t (pow z 3))))) (* -1 t)) z)>
#<alt (* -1 (/ (- (* -1 y) t) z))>
#<alt (* -1 (/ (- (+ (* -1 y) (* -1 (/ t z))) t) z))>
#<alt (* -1 (/ (- (+ (* -1 y) (* -1 (/ (+ t (/ t z)) z))) t) z))>
#<alt (* -1 (/ (- (+ (* -1 y) (* -1 (/ (+ t (* -1 (/ (+ (* -1 t) (* -1 (/ t z))) z))) z))) t) z))>
#<alt (/ y z)>
#<alt (+ (* -1 (/ t (- 1 z))) (/ y z))>
#<alt (+ (* -1 (/ t (- 1 z))) (/ y z))>
#<alt (+ (* -1 (/ t (- 1 z))) (/ y z))>
#<alt (* -1 (/ t (- 1 z)))>
#<alt (* t (- (/ y (* t z)) (/ 1 (- 1 z))))>
#<alt (* t (- (/ y (* t z)) (/ 1 (- 1 z))))>
#<alt (* t (- (/ y (* t z)) (/ 1 (- 1 z))))>
#<alt (* -1 (/ t (- 1 z)))>
#<alt (* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (- 1 z)))))>
#<alt (* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (- 1 z)))))>
#<alt (* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (- 1 z)))))>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ t (- 1 z))>
#<alt (/ t (- 1 z))>
#<alt (/ t (- 1 z))>
#<alt (/ t (- 1 z))>
#<alt (/ t (- 1 z))>
#<alt (/ t (- 1 z))>
#<alt (/ t (- 1 z))>
#<alt (/ t (- 1 z))>
#<alt (/ t (- 1 z))>
#<alt (/ t (- 1 z))>
#<alt (/ t (- 1 z))>
#<alt (/ t (- 1 z))>
#<alt t>
#<alt (+ t (* t z))>
#<alt (+ t (* z (- (* t z) (* -1 t))))>
#<alt (+ t (* z (- (* z (- (* t z) (* -1 t))) (* -1 t))))>
#<alt (* -1 (/ t z))>
#<alt (/ (+ (* -1 t) (* -1 (/ t z))) z)>
#<alt (/ (- (+ (* -1 t) (* -1 (/ t (pow z 2)))) (/ t z)) z)>
#<alt (/ (- (+ (* -1 t) (* -1 (/ t (pow z 3)))) (+ (/ t z) (/ t (pow z 2)))) z)>
#<alt (* -1 (/ t z))>
#<alt (* -1 (/ (+ t (/ t z)) z))>
#<alt (* -1 (/ (+ t (* -1 (/ (- (* -1 (/ t z)) t) z))) z))>
#<alt (* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ t z) (* -1 t)) z)) t) z))) z))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* x (- (/ y z) (/ t (- 1 z))))>
#<alt (* x (- (/ y z) (/ t (- 1 z))))>
#<alt (* x (- (/ y z) (/ t (- 1 z))))>
#<alt (* x (- (/ y z) (/ t (- 1 z))))>
#<alt (* x (- (/ y z) (/ t (- 1 z))))>
#<alt (* x (- (/ y z) (/ t (- 1 z))))>
#<alt (* x (- (/ y z) (/ t (- 1 z))))>
#<alt (* x (- (/ y z) (/ t (- 1 z))))>
#<alt (* x (- (/ y z) (/ t (- 1 z))))>
#<alt (* x (- (/ y z) (/ t (- 1 z))))>
#<alt (* x (- (/ y z) (/ t (- 1 z))))>
#<alt (* x (- (/ y z) (/ t (- 1 z))))>
#<alt (* -1 (/ (* t x) (- 1 z)))>
#<alt (+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z))>
#<alt (+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z))>
#<alt (+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z))>
#<alt (/ (* x y) z)>
#<alt (* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z)))>
#<alt (* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z)))>
#<alt (* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z)))>
#<alt (/ (* x y) z)>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z))))))>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z))))))>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z))))))>
#<alt (/ (* x y) z)>
#<alt (/ (+ (* -1 (* t (* x z))) (* x y)) z)>
#<alt (/ (+ (* x y) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))) z)>
#<alt (/ (+ (* x y) (* z (+ (* -1 (* t x)) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))))) z)>
#<alt (/ (* x (- y (* -1 t))) z)>
#<alt (/ (+ (* x (- y (* -1 t))) (/ (* t x) z)) z)>
#<alt (/ (+ (* x (- y (* -1 t))) (+ (/ (* t x) z) (/ (* t x) (pow z 2)))) z)>
#<alt (/ (+ (* x (- y (* -1 t))) (+ (/ (* t x) z) (+ (/ (* t x) (pow z 2)) (/ (* t x) (pow z 3))))) z)>
#<alt (* -1 (/ (* x (- (* -1 y) t)) z))>
#<alt (* -1 (/ (+ (* -1 (/ (* t x) z)) (* x (- (* -1 y) t))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* t x) (/ (* t x) z)) z)) (* x (- (* -1 y) t))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (* t x) z))) z)) (* t x)) z)) (* x (- (* -1 y) t))) z))>
#<alt (/ (* x y) z)>
#<alt (+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z))>
#<alt (+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z))>
#<alt (+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z))>
#<alt (* -1 (/ (* t x) (- 1 z)))>
#<alt (* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z))))>
#<alt (* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z))))>
#<alt (* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z))))>
#<alt (* -1 (/ (* t x) (- 1 z)))>
#<alt (* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z)))))>
#<alt (* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z)))))>
#<alt (* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z)))))>
Calls

36 calls:

TimeVariablePointExpression
4.0ms
y
@-inf
(/ y z)
3.0ms
z
@0
(/ y z)
2.0ms
z
@0
(* x (- (/ y z) (/ t (- 1 z))))
1.0ms
x
@0
(* x (- (/ y z) (/ t (- 1 z))))
1.0ms
y
@0
(- (/ y z) (/ t (- 1 z)))

rewrite344.0ms (3.3%)

Memory
5.8MiB live, 652.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 392×/-lowering-/.f32
4 392×/-lowering-/.f64
4 334×*-lowering-*.f32
4 334×*-lowering-*.f64
4 094×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01031
16031
261131
0897031
Stop Event
1×iter limit
1×node limit
Counts
5 → 276
Calls
Call 1
Inputs
(- (/ y z) (/ t (- 1 z)))
(/ y z)
(/ t (- 1 z))
(- 1 z)
(* x (- (/ y z) (/ t (- 1 z))))
Outputs
(+.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z)))
(+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z))
(+.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 z (-.f64 #s(literal 1 binary64) z))) (neg.f64 (/.f64 (*.f64 z t) (*.f64 z (-.f64 #s(literal 1 binary64) z)))))
(+.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (fma.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) (/.f64 (*.f64 y y) (*.f64 z z)))) (neg.f64 (/.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))) (fma.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) (/.f64 (*.f64 y y) (*.f64 z z))))))
(+.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (+.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (neg.f64 (/.f64 (/.f64 (*.f64 t t) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (+.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))))
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))
(-.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y (-.f64 #s(literal 0 binary64) z)))
(-.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 z (-.f64 #s(literal 1 binary64) z))) (/.f64 (*.f64 z t) (*.f64 z (-.f64 #s(literal 1 binary64) z))))
(-.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (fma.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) (/.f64 (*.f64 y y) (*.f64 z z)))) (/.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))) (fma.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) (/.f64 (*.f64 y y) (*.f64 z z)))))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (+.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (/.f64 (/.f64 (*.f64 t t) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (+.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))))
(-.f64 (/.f64 (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) t)) (*.f64 z (/.f64 (-.f64 #s(literal 1 binary64) z) t))) (/.f64 z (*.f64 z (/.f64 (-.f64 #s(literal 1 binary64) z) t))))
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(/.f64 (neg.f64 (*.f64 x (+.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))))))) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) (/.f64 (*.f64 y y) (*.f64 z z)))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (/.f64 (*.f64 t t) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 0 binary64) z) t)) x)) (-.f64 #s(literal 0 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) z))))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))))) x)) (-.f64 #s(literal 0 binary64) (fma.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) (/.f64 (*.f64 y y) (*.f64 z z)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (/.f64 (*.f64 t t) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))) x)) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 y z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 y z)) (*.f64 x (/.f64 y z)) (-.f64 (*.f64 (*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z))) (*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z)))) (*.f64 (*.f64 x (/.f64 y z)) (*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y z) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 y z) x) (*.f64 (/.f64 y z) x) (-.f64 (*.f64 (*.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) x) (*.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) x)) (*.f64 (*.f64 (/.f64 y z) x) (*.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 y z)) (*.f64 x (/.f64 y z))) (*.f64 (*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z))) (*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z))))) (-.f64 (*.f64 x (/.f64 y z)) (*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z)))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 y z) x) (*.f64 (/.f64 y z) x)) (*.f64 (*.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) x) (*.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) x))) (-.f64 (*.f64 (/.f64 y z) x) (*.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) x)))
(*.f64 (+.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))) x)
(*.f64 x (+.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))))
(*.f64 (*.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 0 binary64) z) t))) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) z))))
(*.f64 (*.f64 x (+.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) (/.f64 (*.f64 y y) (*.f64 z z)))))
(*.f64 (*.f64 x (-.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (/.f64 (*.f64 t t) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))))
(*.f64 (*.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 0 binary64) z) t)) x) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) z))))
(*.f64 (*.f64 (+.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))))) x) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) (/.f64 (*.f64 y y) (*.f64 z z)))))
(*.f64 (*.f64 (-.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (/.f64 (*.f64 t t) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))) x) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))))
(*.f64 (/.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 0 binary64) z) t)) z) (/.f64 x (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 x z) (/.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 0 binary64) z) t)) (-.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 0 binary64) z) t)) (-.f64 #s(literal 1 binary64) z)) (/.f64 x z))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 0 binary64) z) t)) z))

simplify333.0ms (3.2%)

Memory
5.3MiB live, 675.0MiB allocated
Algorithm
1×egg-herbie
Rules
10 790×accelerator-lowering-fma.f32
10 790×accelerator-lowering-fma.f64
3 714×*-lowering-*.f32
3 714×*-lowering-*.f64
2 034×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02031206
16151158
217601126
355241114
083051097
Stop Event
1×iter limit
1×node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* -1 (/ t (- 1 z)))
(- (/ y z) (/ t (- 1 z)))
(- (/ y z) (/ t (- 1 z)))
(- (/ y z) (/ t (- 1 z)))
(/ y z)
(* y (+ (* -1 (/ t (* y (- 1 z)))) (/ 1 z)))
(* y (+ (* -1 (/ t (* y (- 1 z)))) (/ 1 z)))
(* y (+ (* -1 (/ t (* y (- 1 z)))) (/ 1 z)))
(/ y z)
(* -1 (* y (- (/ t (* y (- 1 z))) (/ 1 z))))
(* -1 (* y (- (/ t (* y (- 1 z))) (/ 1 z))))
(* -1 (* y (- (/ t (* y (- 1 z))) (/ 1 z))))
(/ y z)
(/ (+ y (* -1 (* t z))) z)
(/ (+ y (* z (- (* -1 (* t z)) t))) z)
(/ (+ y (* z (- (* z (+ (* -1 t) (* -1 (* t z)))) t))) z)
(/ (- y (* -1 t)) z)
(/ (- (+ y (/ t z)) (* -1 t)) z)
(/ (- (+ y (+ (/ t z) (/ t (pow z 2)))) (* -1 t)) z)
(/ (- (+ y (+ (/ t z) (+ (/ t (pow z 2)) (/ t (pow z 3))))) (* -1 t)) z)
(* -1 (/ (- (* -1 y) t) z))
(* -1 (/ (- (+ (* -1 y) (* -1 (/ t z))) t) z))
(* -1 (/ (- (+ (* -1 y) (* -1 (/ (+ t (/ t z)) z))) t) z))
(* -1 (/ (- (+ (* -1 y) (* -1 (/ (+ t (* -1 (/ (+ (* -1 t) (* -1 (/ t z))) z))) z))) t) z))
(/ y z)
(+ (* -1 (/ t (- 1 z))) (/ y z))
(+ (* -1 (/ t (- 1 z))) (/ y z))
(+ (* -1 (/ t (- 1 z))) (/ y z))
(* -1 (/ t (- 1 z)))
(* t (- (/ y (* t z)) (/ 1 (- 1 z))))
(* t (- (/ y (* t z)) (/ 1 (- 1 z))))
(* t (- (/ y (* t z)) (/ 1 (- 1 z))))
(* -1 (/ t (- 1 z)))
(* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (- 1 z)))))
(* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (- 1 z)))))
(* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (- 1 z)))))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ t (- 1 z))
(/ t (- 1 z))
(/ t (- 1 z))
(/ t (- 1 z))
(/ t (- 1 z))
(/ t (- 1 z))
(/ t (- 1 z))
(/ t (- 1 z))
(/ t (- 1 z))
(/ t (- 1 z))
(/ t (- 1 z))
(/ t (- 1 z))
t
(+ t (* t z))
(+ t (* z (- (* t z) (* -1 t))))
(+ t (* z (- (* z (- (* t z) (* -1 t))) (* -1 t))))
(* -1 (/ t z))
(/ (+ (* -1 t) (* -1 (/ t z))) z)
(/ (- (+ (* -1 t) (* -1 (/ t (pow z 2)))) (/ t z)) z)
(/ (- (+ (* -1 t) (* -1 (/ t (pow z 3)))) (+ (/ t z) (/ t (pow z 2)))) z)
(* -1 (/ t z))
(* -1 (/ (+ t (/ t z)) z))
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ t z)) t) z))) z))
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ t z) (* -1 t)) z)) t) z))) z))
1
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(* -1 z)
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* -1 z)
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(* x (- (/ y z) (/ t (- 1 z))))
(* x (- (/ y z) (/ t (- 1 z))))
(* x (- (/ y z) (/ t (- 1 z))))
(* x (- (/ y z) (/ t (- 1 z))))
(* x (- (/ y z) (/ t (- 1 z))))
(* x (- (/ y z) (/ t (- 1 z))))
(* x (- (/ y z) (/ t (- 1 z))))
(* x (- (/ y z) (/ t (- 1 z))))
(* x (- (/ y z) (/ t (- 1 z))))
(* x (- (/ y z) (/ t (- 1 z))))
(* x (- (/ y z) (/ t (- 1 z))))
(* x (- (/ y z) (/ t (- 1 z))))
(* -1 (/ (* t x) (- 1 z)))
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z))
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z))
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z))
(/ (* x y) z)
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z)))
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z)))
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z))))))
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z))))))
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z))))))
(/ (* x y) z)
(/ (+ (* -1 (* t (* x z))) (* x y)) z)
(/ (+ (* x y) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))) z)
(/ (+ (* x y) (* z (+ (* -1 (* t x)) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))))) z)
(/ (* x (- y (* -1 t))) z)
(/ (+ (* x (- y (* -1 t))) (/ (* t x) z)) z)
(/ (+ (* x (- y (* -1 t))) (+ (/ (* t x) z) (/ (* t x) (pow z 2)))) z)
(/ (+ (* x (- y (* -1 t))) (+ (/ (* t x) z) (+ (/ (* t x) (pow z 2)) (/ (* t x) (pow z 3))))) z)
(* -1 (/ (* x (- (* -1 y) t)) z))
(* -1 (/ (+ (* -1 (/ (* t x) z)) (* x (- (* -1 y) t))) z))
(* -1 (/ (+ (* -1 (/ (+ (* t x) (/ (* t x) z)) z)) (* x (- (* -1 y) t))) z))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (* t x) z))) z)) (* t x)) z)) (* x (- (* -1 y) t))) z))
(/ (* x y) z)
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z))
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z))
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z))
(* -1 (/ (* t x) (- 1 z)))
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z))))
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z))))
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z))))
(* -1 (/ (* t x) (- 1 z)))
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z)))))
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z)))))
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z)))))
Outputs
(* -1 (/ t (- 1 z)))
(/.f64 t (+.f64 #s(literal -1 binary64) z))
(- (/ y z) (/ t (- 1 z)))
(+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z))
(- (/ y z) (/ t (- 1 z)))
(+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z))
(- (/ y z) (/ t (- 1 z)))
(+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z))
(/ y z)
(/.f64 y z)
(* y (+ (* -1 (/ t (* y (- 1 z)))) (/ 1 z)))
(+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z))
(* y (+ (* -1 (/ t (* y (- 1 z)))) (/ 1 z)))
(+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z))
(* y (+ (* -1 (/ t (* y (- 1 z)))) (/ 1 z)))
(+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z))
(/ y z)
(/.f64 y z)
(* -1 (* y (- (/ t (* y (- 1 z))) (/ 1 z))))
(+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z))
(* -1 (* y (- (/ t (* y (- 1 z))) (/ 1 z))))
(+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z))
(* -1 (* y (- (/ t (* y (- 1 z))) (/ 1 z))))
(+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z))
(/ y z)
(/.f64 y z)
(/ (+ y (* -1 (* t z))) z)
(/.f64 (-.f64 y (fma.f64 t z #s(literal 0 binary64))) z)
(/ (+ y (* z (- (* -1 (* t z)) t))) z)
(/.f64 (fma.f64 (fma.f64 t z #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) z) y) z)
(/ (+ y (* z (- (* z (+ (* -1 t) (* -1 (* t z)))) t))) z)
(/.f64 (fma.f64 z (-.f64 #s(literal 0 binary64) (fma.f64 z (fma.f64 t z t) t)) y) z)
(/ (- y (* -1 t)) z)
(/.f64 (+.f64 t y) z)
(/ (- (+ y (/ t z)) (* -1 t)) z)
(/.f64 (+.f64 t (+.f64 y (/.f64 t z))) z)
(/ (- (+ y (+ (/ t z) (/ t (pow z 2)))) (* -1 t)) z)
(/.f64 (+.f64 y (+.f64 t (/.f64 (+.f64 t (/.f64 t z)) z))) z)
(/ (- (+ y (+ (/ t z) (+ (/ t (pow z 2)) (/ t (pow z 3))))) (* -1 t)) z)
(/.f64 (+.f64 y (+.f64 t (/.f64 (+.f64 t (/.f64 (+.f64 t (/.f64 t z)) z)) z))) z)
(* -1 (/ (- (* -1 y) t) z))
(/.f64 (+.f64 t y) z)
(* -1 (/ (- (+ (* -1 y) (* -1 (/ t z))) t) z))
(/.f64 (+.f64 t (+.f64 y (/.f64 t z))) z)
(* -1 (/ (- (+ (* -1 y) (* -1 (/ (+ t (/ t z)) z))) t) z))
(/.f64 (+.f64 y (+.f64 t (/.f64 (+.f64 t (/.f64 t z)) z))) z)
(* -1 (/ (- (+ (* -1 y) (* -1 (/ (+ t (* -1 (/ (+ (* -1 t) (* -1 (/ t z))) z))) z))) t) z))
(/.f64 (+.f64 y (+.f64 t (/.f64 (+.f64 t (/.f64 (+.f64 t (/.f64 t z)) z)) z))) z)
(/ y z)
(/.f64 y z)
(+ (* -1 (/ t (- 1 z))) (/ y z))
(+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z))
(+ (* -1 (/ t (- 1 z))) (/ y z))
(+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z))
(+ (* -1 (/ t (- 1 z))) (/ y z))
(+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z))
(* -1 (/ t (- 1 z)))
(/.f64 t (+.f64 #s(literal -1 binary64) z))
(* t (- (/ y (* t z)) (/ 1 (- 1 z))))
(+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z))
(* t (- (/ y (* t z)) (/ 1 (- 1 z))))
(+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z))
(* t (- (/ y (* t z)) (/ 1 (- 1 z))))
(+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z))
(* -1 (/ t (- 1 z)))
(/.f64 t (+.f64 #s(literal -1 binary64) z))
(* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (- 1 z)))))
(+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z))
(* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (- 1 z)))))
(+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z))
(* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (- 1 z)))))
(+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z))
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ t (- 1 z))
(/.f64 t (-.f64 #s(literal 1 binary64) z))
(/ t (- 1 z))
(/.f64 t (-.f64 #s(literal 1 binary64) z))
(/ t (- 1 z))
(/.f64 t (-.f64 #s(literal 1 binary64) z))
(/ t (- 1 z))
(/.f64 t (-.f64 #s(literal 1 binary64) z))
(/ t (- 1 z))
(/.f64 t (-.f64 #s(literal 1 binary64) z))
(/ t (- 1 z))
(/.f64 t (-.f64 #s(literal 1 binary64) z))
(/ t (- 1 z))
(/.f64 t (-.f64 #s(literal 1 binary64) z))
(/ t (- 1 z))
(/.f64 t (-.f64 #s(literal 1 binary64) z))
(/ t (- 1 z))
(/.f64 t (-.f64 #s(literal 1 binary64) z))
(/ t (- 1 z))
(/.f64 t (-.f64 #s(literal 1 binary64) z))
(/ t (- 1 z))
(/.f64 t (-.f64 #s(literal 1 binary64) z))
(/ t (- 1 z))
(/.f64 t (-.f64 #s(literal 1 binary64) z))
t
(+ t (* t z))
(fma.f64 t z t)
(+ t (* z (- (* t z) (* -1 t))))
(fma.f64 z (fma.f64 t z t) t)
(+ t (* z (- (* z (- (* t z) (* -1 t))) (* -1 t))))
(fma.f64 z (fma.f64 z (fma.f64 t z t) t) t)
(* -1 (/ t z))
(-.f64 #s(literal 0 binary64) (/.f64 t z))
(/ (+ (* -1 t) (* -1 (/ t z))) z)
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 t z)) t) z)
(/ (- (+ (* -1 t) (* -1 (/ t (pow z 2)))) (/ t z)) z)
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 (+.f64 t (/.f64 t z)) z)) z)
(/ (- (+ (* -1 t) (* -1 (/ t (pow z 3)))) (+ (/ t z) (/ t (pow z 2)))) z)
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t (/.f64 (+.f64 t (/.f64 (+.f64 t (/.f64 t z)) z)) z)) z))
(* -1 (/ t z))
(-.f64 #s(literal 0 binary64) (/.f64 t z))
(* -1 (/ (+ t (/ t z)) z))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 t z)) t) z)
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ t z)) t) z))) z))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 (+.f64 t (/.f64 t z)) z)) z)
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ t z) (* -1 t)) z)) t) z))) z))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t (/.f64 (+.f64 t (/.f64 (+.f64 t (/.f64 t z)) z)) z)) z))
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* x (- (/ y z) (/ t (- 1 z))))
(*.f64 (+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z)) x)
(* x (- (/ y z) (/ t (- 1 z))))
(*.f64 (+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z)) x)
(* x (- (/ y z) (/ t (- 1 z))))
(*.f64 (+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z)) x)
(* x (- (/ y z) (/ t (- 1 z))))
(*.f64 (+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z)) x)
(* x (- (/ y z) (/ t (- 1 z))))
(*.f64 (+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z)) x)
(* x (- (/ y z) (/ t (- 1 z))))
(*.f64 (+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z)) x)
(* x (- (/ y z) (/ t (- 1 z))))
(*.f64 (+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z)) x)
(* x (- (/ y z) (/ t (- 1 z))))
(*.f64 (+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z)) x)
(* x (- (/ y z) (/ t (- 1 z))))
(*.f64 (+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z)) x)
(* x (- (/ y z) (/ t (- 1 z))))
(*.f64 (+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z)) x)
(* x (- (/ y z) (/ t (- 1 z))))
(*.f64 (+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z)) x)
(* x (- (/ y z) (/ t (- 1 z))))
(*.f64 (+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z)) x)
(* -1 (/ (* t x) (- 1 z)))
(/.f64 (fma.f64 t x #s(literal 0 binary64)) (+.f64 #s(literal -1 binary64) z))
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z))
(*.f64 (+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z)) x)
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z))
(*.f64 (+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z)) x)
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z))
(*.f64 (+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z)) x)
(/ (* x y) z)
(fma.f64 y (/.f64 x z) #s(literal 0 binary64))
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z)))
(*.f64 (+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z)) x)
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z)))
(*.f64 (+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z)) x)
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z)))
(*.f64 (+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z)) x)
(/ (* x y) z)
(fma.f64 y (/.f64 x z) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z))))))
(*.f64 (+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z)) x)
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z))))))
(*.f64 (+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z)) x)
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z))))))
(*.f64 (+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z)) x)
(/ (* x y) z)
(fma.f64 y (/.f64 x z) #s(literal 0 binary64))
(/ (+ (* -1 (* t (* x z))) (* x y)) z)
(/.f64 (*.f64 x (-.f64 y (fma.f64 t z #s(literal 0 binary64)))) z)
(/ (+ (* x y) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))) z)
(/.f64 (fma.f64 z (*.f64 x (*.f64 t (-.f64 #s(literal -1 binary64) z))) (fma.f64 y x #s(literal 0 binary64))) z)
(/ (+ (* x y) (* z (+ (* -1 (* t x)) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))))) z)
(/.f64 (fma.f64 z (-.f64 #s(literal 0 binary64) (fma.f64 t x (*.f64 z (*.f64 t (fma.f64 z x x))))) (fma.f64 y x #s(literal 0 binary64))) z)
(/ (* x (- y (* -1 t))) z)
(/.f64 (fma.f64 (+.f64 t y) x #s(literal 0 binary64)) z)
(/ (+ (* x (- y (* -1 t))) (/ (* t x) z)) z)
(/.f64 (*.f64 x (+.f64 t (+.f64 y (/.f64 t z)))) z)
(/ (+ (* x (- y (* -1 t))) (+ (/ (* t x) z) (/ (* t x) (pow z 2)))) z)
(/.f64 (fma.f64 (+.f64 t y) x (*.f64 (/.f64 t z) (+.f64 x (/.f64 x z)))) z)
(/ (+ (* x (- y (* -1 t))) (+ (/ (* t x) z) (+ (/ (* t x) (pow z 2)) (/ (* t x) (pow z 3))))) z)
(/.f64 (fma.f64 x (+.f64 t (+.f64 y (/.f64 t z))) (*.f64 (/.f64 t (*.f64 z z)) (+.f64 x (/.f64 x z)))) z)
(* -1 (/ (* x (- (* -1 y) t)) z))
(/.f64 (fma.f64 (+.f64 t y) x #s(literal 0 binary64)) z)
(* -1 (/ (+ (* -1 (/ (* t x) z)) (* x (- (* -1 y) t))) z))
(/.f64 (*.f64 x (+.f64 t (+.f64 y (/.f64 t z)))) z)
(* -1 (/ (+ (* -1 (/ (+ (* t x) (/ (* t x) z)) z)) (* x (- (* -1 y) t))) z))
(/.f64 (fma.f64 t (/.f64 (+.f64 x (/.f64 x z)) z) (fma.f64 (+.f64 t y) x #s(literal 0 binary64))) z)
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (* t x) z))) z)) (* t x)) z)) (* x (- (* -1 y) t))) z))
(/.f64 (fma.f64 (+.f64 t y) x (/.f64 (fma.f64 t (/.f64 (+.f64 x (/.f64 x z)) z) (fma.f64 t x #s(literal 0 binary64))) z)) z)
(/ (* x y) z)
(fma.f64 y (/.f64 x z) #s(literal 0 binary64))
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z))
(*.f64 (+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z)) x)
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z))
(*.f64 (+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z)) x)
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z))
(*.f64 (+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z)) x)
(* -1 (/ (* t x) (- 1 z)))
(/.f64 (fma.f64 t x #s(literal 0 binary64)) (+.f64 #s(literal -1 binary64) z))
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z))))
(*.f64 (+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z)) x)
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z))))
(*.f64 (+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z)) x)
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z))))
(*.f64 (+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z)) x)
(* -1 (/ (* t x) (- 1 z)))
(/.f64 (fma.f64 t x #s(literal 0 binary64)) (+.f64 #s(literal -1 binary64) z))
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z)))))
(*.f64 (+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z)) x)
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z)))))
(*.f64 (+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z)) x)
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z)))))
(*.f64 (+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z)) x)

eval47.0ms (0.5%)

Memory
10.7MiB live, 131.4MiB allocated
Compiler

Compiled 9 579 to 1 155 computations (87.9% saved)

prune112.0ms (1.1%)

Memory
5.2MiB live, 121.4MiB allocated
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New40713420
Fresh000
Picked011
Done000
Total40714421
Accuracy
100.0%
Counts
421 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.3%
(fma.f64 y (/.f64 x z) #s(literal 0 binary64))
▶75.3%
(/.f64 (fma.f64 (+.f64 t y) x #s(literal 0 binary64)) z)
47.0%
(/.f64 (fma.f64 t x #s(literal 0 binary64)) (+.f64 #s(literal -1 binary64) z))
32.7%
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (/.f64 (*.f64 t t) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))) x) (+.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
63.4%
(/.f64 (*.f64 x (-.f64 y (fma.f64 t z #s(literal 0 binary64)))) z)
▶73.8%
(/.f64 x (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) z)) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 0 binary64) z) t))))
▶96.5%
(*.f64 x (fma.f64 t (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) z)) (/.f64 y z)))
70.5%
(*.f64 x (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 z y) t)) (*.f64 (/.f64 z y) (-.f64 #s(literal 1 binary64) z))))
76.9%
(*.f64 x (/.f64 (+.f64 t y) z))
▶62.0%
(*.f64 x (/.f64 y z))
▶48.3%
(*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z)))
✓96.5%
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
64.7%
(*.f64 x (-.f64 (/.f64 y z) t))
96.5%
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
Compiler

Compiled 421 to 262 computations (37.8% saved)

simplify422.0ms (4.1%)

Memory
-18.3MiB live, 697.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 #s(literal 1 binary64) z)
✓cost-diff0
(/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) z)) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 0 binary64) z) t)))
✓cost-diff384
(fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 0 binary64) z) t))
✓cost-diff576
(/.f64 x (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) z)) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 0 binary64) z) t))))
✓cost-diff0
(+.f64 t y)
✓cost-diff0
(fma.f64 (+.f64 t y) x #s(literal 0 binary64))
✓cost-diff0
(/.f64 (fma.f64 (+.f64 t y) x #s(literal 0 binary64)) z)
✓cost-diff-64
(*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z)))
✓cost-diff0
(+.f64 #s(literal -1 binary64) z)
✓cost-diff0
(/.f64 t (+.f64 #s(literal -1 binary64) z))
✓cost-diff-64
(*.f64 x (/.f64 y z))
✓cost-diff0
(/.f64 y z)
✓cost-diff0
(/.f64 y z)
✓cost-diff0
(+.f64 #s(literal -1 binary64) z)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) z))
✓cost-diff192
(fma.f64 t (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) z)) (/.f64 y z))
Rules
17 656×accelerator-lowering-fma.f32
17 656×accelerator-lowering-fma.f64
3 704×*-lowering-*.f32
3 704×*-lowering-*.f64
1 620×+-lowering-+.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
028150
162144
2130142
3340140
41037138
53498138
67289138
08341138
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* x (+ (* t (/ 1 (+ -1 z))) (/ y z)))
x
(+ (* t (/ 1 (+ -1 z))) (/ y z))
t
(/ 1 (+ -1 z))
1
(+ -1 z)
-1
z
(/ y z)
y
(* x (/ y z))
x
(/ y z)
y
z
(* x (/ t (+ -1 z)))
x
(/ t (+ -1 z))
t
(+ -1 z)
-1
z
(/ (+ (* (+ t y) x) 0) z)
(+ (* (+ t y) x) 0)
(+ t y)
t
y
x
0
z
(/ x (/ (* z (- 1 z)) (+ (* y (- 1 z)) (* (- 0 z) t))))
x
(/ (* z (- 1 z)) (+ (* y (- 1 z)) (* (- 0 z) t)))
(* z (- 1 z))
z
(- 1 z)
1
(+ (* y (- 1 z)) (* (- 0 z) t))
y
(* (- 0 z) t)
(- 0 z)
0
t
Outputs
(* x (+ (* t (/ 1 (+ -1 z))) (/ y z)))
(fma.f64 x (+.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))) #s(literal 0 binary64))
x
(+ (* t (/ 1 (+ -1 z))) (/ y z))
(+.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z)))
t
(/ 1 (+ -1 z))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) z))
1
#s(literal 1 binary64)
(+ -1 z)
(+.f64 #s(literal -1 binary64) z)
-1
#s(literal -1 binary64)
z
(/ y z)
(/.f64 y z)
y
(* x (/ y z))
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
x
(/ y z)
(/.f64 y z)
y
z
(* x (/ t (+ -1 z)))
(fma.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z)) #s(literal 0 binary64))
x
(/ t (+ -1 z))
(/.f64 t (+.f64 #s(literal -1 binary64) z))
t
(+ -1 z)
(+.f64 #s(literal -1 binary64) z)
-1
#s(literal -1 binary64)
z
(/ (+ (* (+ t y) x) 0) z)
(/.f64 (fma.f64 x (+.f64 t y) #s(literal 0 binary64)) z)
(+ (* (+ t y) x) 0)
(fma.f64 x (+.f64 t y) #s(literal 0 binary64))
(+ t y)
(+.f64 t y)
t
y
x
0
#s(literal 0 binary64)
z
(/ x (/ (* z (- 1 z)) (+ (* y (- 1 z)) (* (- 0 z) t))))
(fma.f64 x (+.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))) #s(literal 0 binary64))
x
(/ (* z (- 1 z)) (+ (* y (- 1 z)) (* (- 0 z) t)))
(/.f64 (fma.f64 z (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64)) (fma.f64 z (-.f64 (-.f64 #s(literal 0 binary64) t) y) y))
(* z (- 1 z))
(fma.f64 z (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
z
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
(+ (* y (- 1 z)) (* (- 0 z) t))
(fma.f64 z (-.f64 (-.f64 #s(literal 0 binary64) t) y) y)
y
(* (- 0 z) t)
(-.f64 #s(literal 0 binary64) (fma.f64 t z #s(literal 0 binary64)))
(- 0 z)
(-.f64 #s(literal 0 binary64) z)
0
#s(literal 0 binary64)
t

localize106.0ms (1%)

Memory
9.0MiB live, 134.3MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 0 binary64) z) t))
✓accuracy100.0%
(*.f64 z (-.f64 #s(literal 1 binary64) z))
✓accuracy96.5%
(/.f64 x (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) z)) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 0 binary64) z) t))))
✓accuracy75.5%
(/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) z)) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 0 binary64) z) t)))
✓accuracy100.0%
(+.f64 t y)
✓accuracy100.0%
(fma.f64 (+.f64 t y) x #s(literal 0 binary64))
✓accuracy92.8%
(/.f64 (fma.f64 (+.f64 t y) x #s(literal 0 binary64)) z)
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) z)
✓accuracy100.0%
(/.f64 t (+.f64 #s(literal -1 binary64) z))
✓accuracy97.2%
(*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z)))
✓accuracy100.0%
(/.f64 y z)
✓accuracy94.9%
(*.f64 x (/.f64 y z))
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) z)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) z))
✓accuracy99.9%
(fma.f64 t (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) z)) (/.f64 y z))
✓accuracy96.6%
(*.f64 x (fma.f64 t (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) z)) (/.f64 y z)))
Samples
54.0ms256×0valid
Compiler

Compiled 159 to 30 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-div: 17.0ms (46.6% of total)
ival-mult: 11.0ms (30.1% of total)
ival-add: 6.0ms (16.4% of total)
ival-sub: 2.0ms (5.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series54.0ms (0.5%)

Memory
-21.8MiB live, 90.7MiB allocated
Counts
16 → 480
Calls
Call 1
Inputs
#<alt (+ (* t (/ 1 (+ -1 z))) (/ y z))>
#<alt (/ 1 (+ -1 z))>
#<alt (+ -1 z)>
#<alt (/ y z)>
#<alt (* x (/ y z))>
#<alt (/ t (+ -1 z))>
#<alt (* x (/ t (+ -1 z)))>
#<alt (/ (+ (* (+ t y) x) 0) z)>
#<alt (+ (* (+ t y) x) 0)>
#<alt (+ t y)>
#<alt (/ x (/ (* z (- 1 z)) (+ (* y (- 1 z)) (* (- 0 z) t))))>
#<alt (+ (* y (- 1 z)) (* (- 0 z) t))>
#<alt (/ (* z (- 1 z)) (+ (* y (- 1 z)) (* (- 0 z) t)))>
#<alt (- 1 z)>
#<alt (* x (+ (* t (/ 1 (+ -1 z))) (/ y z)))>
#<alt (* z (- 1 z))>
Outputs
#<alt (/ y z)>
#<alt (+ (/ t (- z 1)) (/ y z))>
#<alt (+ (/ t (- z 1)) (/ y z))>
#<alt (+ (/ t (- z 1)) (/ y z))>
#<alt (/ t (- z 1))>
#<alt (* t (+ (/ 1 (- z 1)) (/ y (* t z))))>
#<alt (* t (+ (/ 1 (- z 1)) (/ y (* t z))))>
#<alt (* t (+ (/ 1 (- z 1)) (/ y (* t z))))>
#<alt (/ t (- z 1))>
#<alt (* -1 (* t (- (* -1 (/ y (* t z))) (/ 1 (- z 1)))))>
#<alt (* -1 (* t (- (* -1 (/ y (* t z))) (/ 1 (- z 1)))))>
#<alt (* -1 (* t (- (* -1 (/ y (* t z))) (/ 1 (- z 1)))))>
#<alt (/ y z)>
#<alt (/ (+ y (* -1 (* t z))) z)>
#<alt (/ (+ y (* z (+ (* -1 t) (* -1 (* t z))))) z)>
#<alt (/ (+ y (* z (+ (* -1 t) (* z (- (* -1 (* t z)) t))))) z)>
#<alt (/ (+ t y) z)>
#<alt (/ (+ t (+ y (/ t z))) z)>
#<alt (/ (- (+ t (+ y (/ t (pow z 2)))) (* -1 (/ t z))) z)>
#<alt (/ (- (+ t (+ y (/ t (pow z 3)))) (+ (* -1 (/ t z)) (* -1 (/ t (pow z 2))))) z)>
#<alt (* -1 (/ (+ (* -1 t) (* -1 y)) z))>
#<alt (* -1 (/ (+ (* -1 t) (+ (* -1 y) (* -1 (/ t z)))) z))>
#<alt (* -1 (/ (+ (* -1 t) (+ (* -1 y) (* -1 (/ (+ t (/ t z)) z)))) z))>
#<alt (* -1 (/ (+ (* -1 t) (+ (* -1 y) (* -1 (/ (+ t (* -1 (/ (+ (* -1 t) (* -1 (/ t z))) z))) z)))) z))>
#<alt (/ t (- z 1))>
#<alt (+ (/ t (- z 1)) (/ y z))>
#<alt (+ (/ t (- z 1)) (/ y z))>
#<alt (+ (/ t (- z 1)) (/ y z))>
#<alt (/ y z)>
#<alt (* y (+ (/ 1 z) (/ t (* y (- z 1)))))>
#<alt (* y (+ (/ 1 z) (/ t (* y (- z 1)))))>
#<alt (* y (+ (/ 1 z) (/ t (* y (- z 1)))))>
#<alt (/ y z)>
#<alt (* -1 (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z))))>
#<alt (* -1 (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z))))>
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#<alt (* -1 (/ (- (+ 1 (/ (* y (pow (- 1 z) 2)) (* t z))) z) t))>
#<alt (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (pow y 2) (pow (- 1 z) 3)) (* t (pow z 2)))) (/ (* y (pow (- 1 z) 2)) z)) t))) z) t))>
#<alt (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow (- 1 z) 4)) (* t (pow z 3))) (* -1 (/ (* (pow y 2) (pow (- 1 z) 3)) (pow z 2)))) t)) (/ (* y (pow (- 1 z) 2)) z)) t))) z) t))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* x (+ (/ t (- z 1)) (/ y z)))>
#<alt (* x (+ (/ t (- z 1)) (/ y z)))>
#<alt (* x (+ (/ t (- z 1)) (/ y z)))>
#<alt (* x (+ (/ t (- z 1)) (/ y z)))>
#<alt (* x (+ (/ t (- z 1)) (/ y z)))>
#<alt (* x (+ (/ t (- z 1)) (/ y z)))>
#<alt (* x (+ (/ t (- z 1)) (/ y z)))>
#<alt (* x (+ (/ t (- z 1)) (/ y z)))>
#<alt (* x (+ (/ t (- z 1)) (/ y z)))>
#<alt (* x (+ (/ t (- z 1)) (/ y z)))>
#<alt (* x (+ (/ t (- z 1)) (/ y z)))>
#<alt (* x (+ (/ t (- z 1)) (/ y z)))>
#<alt (/ (* x y) z)>
#<alt (+ (/ (* t x) (- z 1)) (/ (* x y) z))>
#<alt (+ (/ (* t x) (- z 1)) (/ (* x y) z))>
#<alt (+ (/ (* t x) (- z 1)) (/ (* x y) z))>
#<alt (/ (* t x) (- z 1))>
#<alt (* t (+ (/ x (- z 1)) (/ (* x y) (* t z))))>
#<alt (* t (+ (/ x (- z 1)) (/ (* x y) (* t z))))>
#<alt (* t (+ (/ x (- z 1)) (/ (* x y) (* t z))))>
#<alt (/ (* t x) (- z 1))>
#<alt (* -1 (* t (+ (* -1 (/ x (- z 1))) (* -1 (/ (* x y) (* t z))))))>
#<alt (* -1 (* t (+ (* -1 (/ x (- z 1))) (* -1 (/ (* x y) (* t z))))))>
#<alt (* -1 (* t (+ (* -1 (/ x (- z 1))) (* -1 (/ (* x y) (* t z))))))>
#<alt (/ (* x y) z)>
#<alt (/ (+ (* -1 (* t (* x z))) (* x y)) z)>
#<alt (/ (+ (* x y) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))) z)>
#<alt (/ (+ (* x y) (* z (+ (* -1 (* t x)) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))))) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (+ (* x (+ t y)) (/ (* t x) z)) z)>
#<alt (/ (+ (* x (+ t y)) (+ (/ (* t x) z) (/ (* t x) (pow z 2)))) z)>
#<alt (/ (+ (* x (+ t y)) (+ (/ (* t x) z) (+ (/ (* t x) (pow z 2)) (/ (* t x) (pow z 3))))) z)>
#<alt (* -1 (/ (* x (+ (* -1 t) (* -1 y))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (* t x) z)) (* x (+ (* -1 t) (* -1 y)))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* t x) (/ (* t x) z)) z)) (* x (+ (* -1 t) (* -1 y)))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (* t x) z))) z)) (* t x)) z)) (* x (+ (* -1 t) (* -1 y)))) z))>
#<alt (/ (* t x) (- z 1))>
#<alt (+ (/ (* t x) (- z 1)) (/ (* x y) z))>
#<alt (+ (/ (* t x) (- z 1)) (/ (* x y) z))>
#<alt (+ (/ (* t x) (- z 1)) (/ (* x y) z))>
#<alt (/ (* x y) z)>
#<alt (* y (+ (/ x z) (/ (* t x) (* y (- z 1)))))>
#<alt (* y (+ (/ x z) (/ (* t x) (* y (- z 1)))))>
#<alt (* y (+ (/ x z) (/ (* t x) (* y (- z 1)))))>
#<alt (/ (* x y) z)>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y (- z 1)))))))>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y (- z 1)))))))>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y (- z 1)))))))>
#<alt z>
#<alt (* z (+ 1 (* -1 z)))>
#<alt (* z (+ 1 (* -1 z)))>
#<alt (* z (+ 1 (* -1 z)))>
#<alt (* -1 (pow z 2))>
#<alt (* (pow z 2) (- (/ 1 z) 1))>
#<alt (* (pow z 2) (- (/ 1 z) 1))>
#<alt (* (pow z 2) (- (/ 1 z) 1))>
#<alt (* -1 (pow z 2))>
#<alt (* (pow z 2) (- (/ 1 z) 1))>
#<alt (* (pow z 2) (- (/ 1 z) 1))>
#<alt (* (pow z 2) (- (/ 1 z) 1))>
Calls

120 calls:

TimeVariablePointExpression
7.0ms
z
@-inf
(/ (* z (- 1 z)) (+ (* y (- 1 z)) (* (- 0 z) t)))
3.0ms
t
@inf
(/ x (/ (* z (- 1 z)) (+ (* y (- 1 z)) (* (- 0 z) t))))
3.0ms
t
@-inf
(* x (/ t (+ -1 z)))
2.0ms
z
@inf
(* x (/ y z))
2.0ms
x
@0
(/ x (/ (* z (- 1 z)) (+ (* y (- 1 z)) (* (- 0 z) t))))

rewrite406.0ms (3.9%)

Memory
19.2MiB live, 541.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 792×*-lowering-*.f32
5 792×*-lowering-*.f64
5 166×/-lowering-/.f32
5 166×/-lowering-/.f64
3 708×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028115
1177115
21777115
08729112
Stop Event
1×iter limit
1×node limit
Counts
16 → 1 073
Calls
Call 1
Inputs
(+ (* t (/ 1 (+ -1 z))) (/ y z))
(/ 1 (+ -1 z))
(+ -1 z)
(/ y z)
(* x (/ y z))
(/ t (+ -1 z))
(* x (/ t (+ -1 z)))
(/ (+ (* (+ t y) x) 0) z)
(+ (* (+ t y) x) 0)
(+ t y)
(/ x (/ (* z (- 1 z)) (+ (* y (- 1 z)) (* (- 0 z) t))))
(+ (* y (- 1 z)) (* (- 0 z) t))
(/ (* z (- 1 z)) (+ (* y (- 1 z)) (* (- 0 z) t)))
(- 1 z)
(* x (+ (* t (/ 1 (+ -1 z))) (/ y z)))
(* z (- 1 z))
Outputs
(+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z))
(+.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z)))
(-.f64 (/.f64 (/.f64 (*.f64 t t) (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z))) (-.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z))) (/.f64 (/.f64 (*.f64 y y) (fma.f64 z z #s(literal 0 binary64))) (-.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z))))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (fma.f64 z z #s(literal 0 binary64))) (-.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z)))) (/.f64 (/.f64 (*.f64 t t) (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z))) (-.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z)))))
(fma.f64 t (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) z)) (/.f64 y z))
(fma.f64 #s(literal 1 binary64) (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z))
(fma.f64 #s(literal 1 binary64) (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z)))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) z)) t (/.f64 y z))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) z)) (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64)) (/.f64 y z))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) z)) (/.f64 t #s(literal 1 binary64)) (/.f64 y z))
(fma.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) #s(literal 1 binary64) (/.f64 y z))
(fma.f64 y (/.f64 #s(literal 1 binary64) z) (/.f64 t (+.f64 #s(literal -1 binary64) z)))
(fma.f64 (/.f64 y z) #s(literal 1 binary64) (/.f64 t (+.f64 #s(literal -1 binary64) z)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (/.f64 t (+.f64 #s(literal -1 binary64) z)))
(fma.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))
(fma.f64 (/.f64 #s(literal 1 binary64) z) y (/.f64 t (+.f64 #s(literal -1 binary64) z)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 t (+.f64 #s(literal -1 binary64) z)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64)))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64)))) (/.f64 t (+.f64 #s(literal -1 binary64) z)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) z)) (/.f64 t (+.f64 #s(literal -1 binary64) z)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64))))) (fma.f64 z z #s(literal 0 binary64)) (/.f64 t (+.f64 #s(literal -1 binary64) z)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))) z (/.f64 t (+.f64 #s(literal -1 binary64) z)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal -1 binary64))) (/.f64 t (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))) (/.f64 y z))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64)))) (/.f64 t (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) z))) (/.f64 y z))
(fma.f64 (/.f64 t (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal -1 binary64))) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (/.f64 y z))
(fma.f64 (/.f64 t (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))) (/.f64 y z))
(fma.f64 (/.f64 t (-.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64)))) (-.f64 #s(literal -1 binary64) z) (/.f64 y z))
(fma.f64 (/.f64 t (-.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) z))) (/.f64 y z))
(fma.f64 (/.f64 t (-.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64)))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z))) (/.f64 y z))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64)))) (/.f64 t (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z))) (/.f64 y z))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y #s(literal -1 binary64)) (/.f64 t (+.f64 #s(literal -1 binary64) z)))
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z) (/.f64 t (+.f64 #s(literal -1 binary64) z)))
(fma.f64 (/.f64 t #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y z))
(fma.f64 (/.f64 t (-.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64))))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))) (/.f64 y z))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64))))) (/.f64 t (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))) (/.f64 y z))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y z) (-.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))) (/.f64 (*.f64 t t) (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z)))) (+.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z)))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (fma.f64 z z #s(literal 0 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z)) (-.f64 (/.f64 (*.f64 t t) (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z))) (/.f64 (*.f64 y y) (fma.f64 z z #s(literal 0 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 y z) (-.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))) (/.f64 (*.f64 t t) (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z)))) (+.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z)))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (fma.f64 z z #s(literal 0 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z)) (-.f64 (/.f64 (*.f64 t t) (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z))) (/.f64 (*.f64 y y) (fma.f64 z z #s(literal 0 binary64)))))))
(/.f64 (+.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z)))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (fma.f64 z z #s(literal 0 binary64))))) (fma.f64 (/.f64 y z) (-.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))) (/.f64 (*.f64 t t) (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z)))))
(/.f64 (+.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z)))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (fma.f64 z z #s(literal 0 binary64))))) (+.f64 (/.f64 (*.f64 y y) (fma.f64 z z #s(literal 0 binary64))) (/.f64 (-.f64 (*.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) t) (*.f64 t (/.f64 y z))) (+.f64 #s(literal -1 binary64) z))))
(/.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z))) (/.f64 (*.f64 y y) (fma.f64 z z #s(literal 0 binary64)))) (-.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z)))
(/.f64 (fma.f64 t (/.f64 z y) (+.f64 #s(literal -1 binary64) z)) (*.f64 (+.f64 #s(literal -1 binary64) z) (/.f64 z y)))
(/.f64 (fma.f64 t z (*.f64 (+.f64 #s(literal -1 binary64) z) y)) (*.f64 (+.f64 #s(literal -1 binary64) z) z))
(/.f64 (fma.f64 t (-.f64 #s(literal 0 binary64) z) (*.f64 (+.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 0 binary64) y))) (*.f64 (+.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (+.f64 (/.f64 z y) (/.f64 (+.f64 #s(literal -1 binary64) z) t)) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) z) t) (/.f64 z y)))
(/.f64 (+.f64 z (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) z) t) y)) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) z) t) z))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) z) t) (-.f64 #s(literal 0 binary64) y))) (*.f64 (/.f64 (+.f64 #s(literal -1 binary64) z) t) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 z y) (*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 z y)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) t) z (*.f64 y (-.f64 #s(literal 1 binary64) z))) (*.f64 z (-.f64 #s(literal 1 binary64) z)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 #s(literal 0 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) z))))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) z) (*.f64 (/.f64 z y) t)) (*.f64 (/.f64 z y) (+.f64 #s(literal -1 binary64) z)))
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) z) t) (*.f64 (/.f64 z y) #s(literal 1 binary64))) (*.f64 (/.f64 z y) (/.f64 (+.f64 #s(literal -1 binary64) z) t)))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 z y) (-.f64 #s(literal 0 binary64) t))) (*.f64 (/.f64 z y) (-.f64 #s(literal 1 binary64) z)))
(/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) z) (*.f64 z t)) (*.f64 z (+.f64 #s(literal -1 binary64) z)))
(/.f64 (fma.f64 y (/.f64 (+.f64 #s(literal -1 binary64) z) t) z) (*.f64 z (/.f64 (+.f64 #s(literal -1 binary64) z) t)))
(/.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 z (-.f64 #s(literal 0 binary64) t))) (*.f64 z (-.f64 #s(literal 1 binary64) z)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 #s(literal -1 binary64) z) (*.f64 t (-.f64 #s(literal 0 binary64) z))) (*.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 #s(literal -1 binary64) z)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (+.f64 #s(literal -1 binary64) z) t) (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (+.f64 #s(literal -1 binary64) z) t)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) t))) (-.f64 #s(literal 0 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) z))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z)))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (fma.f64 z z #s(literal 0 binary64)))))) (neg.f64 (fma.f64 (/.f64 y z) (-.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))) (/.f64 (*.f64 t t) (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z))))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z)))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (fma.f64 z z #s(literal 0 binary64)))))) (neg.f64 (+.f64 (/.f64 (*.f64 y y) (fma.f64 z z #s(literal 0 binary64))) (/.f64 (-.f64 (*.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) t) (*.f64 t (/.f64 y z))) (+.f64 #s(literal -1 binary64) z)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 t t) (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z))) (/.f64 (*.f64 y y) (fma.f64 z z #s(literal 0 binary64))))) (neg.f64 (-.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z))))
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(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) t) x) (-.f64 #s(literal 0 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 0 binary64) y) x))) (-.f64 #s(literal 0 binary64) (*.f64 z (-.f64 #s(literal 1 binary64) z))))
(/.f64 (neg.f64 (fma.f64 (*.f64 t x) z (*.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 y x)))) (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) z) z)))
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(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) x) (*.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) x)) (*.f64 (/.f64 (*.f64 y x) z) (/.f64 (*.f64 y x) z)))) (neg.f64 (-.f64 (*.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) x) (/.f64 (*.f64 y x) z))))
(/.f64 (neg.f64 (*.f64 x (+.f64 (/.f64 (*.f64 t (*.f64 t t)) (*.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z)))) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (fma.f64 z z #s(literal 0 binary64))))))) (neg.f64 (fma.f64 (/.f64 y z) (-.f64 (/.f64 y z) (/.f64 t (+.f64 #s(literal -1 binary64) z))) (/.f64 (*.f64 t t) (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z))))))
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(fma.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 z z) (*.f64 (-.f64 #s(literal 0 binary64) z) z))
(fma.f64 (/.f64 z z) (/.f64 z #s(literal 1 binary64)) (*.f64 z (-.f64 #s(literal 0 binary64) z)))
(fma.f64 (/.f64 z z) (/.f64 z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) z) z))
(/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64))))) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64)))) (+.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64)))) z) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) z) (+.f64 #s(literal 1 binary64) z))
(/.f64 (neg.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64)))))) (neg.f64 (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) z)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64)))) z)) (neg.f64 (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) z)) (neg.f64 (+.f64 #s(literal 1 binary64) z)))
(*.f64 z (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) z)

simplify541.0ms (5.2%)

Memory
14.1MiB live, 721.2MiB allocated
Algorithm
1×egg-herbie
Rules
8 922×accelerator-lowering-fma.f32
8 922×accelerator-lowering-fma.f64
5 370×*-lowering-*.f32
5 370×*-lowering-*.f64
3 302×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06315288
121174956
272044906
081674760
Stop Event
1×iter limit
1×node limit
Counts
480 → 480
Calls
Call 1
Inputs
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(* z (+ (* -1 t) (+ (* -1 y) (/ y z))))
(* -1 (* z (+ t y)))
(* -1 (* z (+ t (+ y (* -1 (/ y z))))))
(* -1 (* z (+ t (+ y (* -1 (/ y z))))))
(* -1 (* z (+ t (+ y (* -1 (/ y z))))))
(* y (- 1 z))
(+ (* -1 (* t z)) (* y (- 1 z)))
(+ (* -1 (* t z)) (* y (- 1 z)))
(+ (* -1 (* t z)) (* y (- 1 z)))
(* -1 (* t z))
(* t (+ (* -1 z) (/ (* y (- 1 z)) t)))
(* t (+ (* -1 z) (/ (* y (- 1 z)) t)))
(* t (+ (* -1 z) (/ (* y (- 1 z)) t)))
(* -1 (* t z))
(* -1 (* t (+ z (* -1 (/ (* y (- 1 z)) t)))))
(* -1 (* t (+ z (* -1 (/ (* y (- 1 z)) t)))))
(* -1 (* t (+ z (* -1 (/ (* y (- 1 z)) t)))))
(/ z y)
(* z (+ (/ 1 y) (/ (* t z) (pow y 2))))
(* z (+ (* z (- (* -1 (/ (* t (* z (+ (* -1 t) (* -1 y)))) (pow y 3))) (* -1 (/ t (pow y 2))))) (/ 1 y)))
(* z (+ (* z (- (* z (- (/ (* t (* z (pow (+ (* -1 t) (* -1 y)) 2))) (pow y 4)) (/ (* t (+ (* -1 t) (* -1 y))) (pow y 3)))) (* -1 (/ t (pow y 2))))) (/ 1 y)))
(* -1 (/ z (+ (* -1 t) (* -1 y))))
(* z (- (/ 1 (* z (+ (* -1 t) (* -1 y)))) (+ (* -1 (/ y (* z (pow (+ (* -1 t) (* -1 y)) 2)))) (/ 1 (+ (* -1 t) (* -1 y))))))
(* z (- (+ (* -1 (/ (* y (- (/ 1 (+ (* -1 t) (* -1 y))) (* -1 (/ y (pow (+ (* -1 t) (* -1 y)) 2))))) (* (pow z 2) (+ (* -1 t) (* -1 y))))) (/ 1 (* z (+ (* -1 t) (* -1 y))))) (+ (* -1 (/ y (* z (pow (+ (* -1 t) (* -1 y)) 2)))) (/ 1 (+ (* -1 t) (* -1 y))))))
(* z (- (+ (/ 1 (* z (+ (* -1 t) (* -1 y)))) (/ (* (pow y 2) (- (/ 1 (+ (* -1 t) (* -1 y))) (* -1 (/ y (pow (+ (* -1 t) (* -1 y)) 2))))) (* (pow z 3) (pow (+ (* -1 t) (* -1 y)) 2)))) (+ (* -1 (/ y (* z (pow (+ (* -1 t) (* -1 y)) 2)))) (+ (/ 1 (+ (* -1 t) (* -1 y))) (/ (* y (- (/ 1 (+ (* -1 t) (* -1 y))) (* -1 (/ y (pow (+ (* -1 t) (* -1 y)) 2))))) (* (pow z 2) (+ (* -1 t) (* -1 y))))))))
(/ z (+ t y))
(* -1 (* z (- (/ 1 (* z (+ t y))) (+ (/ 1 (+ t y)) (/ y (* z (pow (+ t y) 2)))))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (- (/ 1 (+ t y)) (/ y (pow (+ t y) 2)))) (* -1 (/ (* y (- (/ 1 (+ t y)) (/ y (pow (+ t y) 2)))) (* z (+ t y))))) z)) (/ 1 (+ t y)))))
(* -1 (* z (- (* -1 (/ (+ (* -1 (- (/ 1 (+ t y)) (/ y (pow (+ t y) 2)))) (* -1 (/ (+ (/ (* y (- (/ 1 (+ t y)) (/ y (pow (+ t y) 2)))) (+ t y)) (/ (* (pow y 2) (- (/ 1 (+ t y)) (/ y (pow (+ t y) 2)))) (* z (pow (+ t y) 2)))) z))) z)) (/ 1 (+ t y)))))
(* -1 (/ (- 1 z) t))
(+ (* -1 (/ (* y (pow (- 1 z) 2)) (* (pow t 2) z))) (* -1 (/ (- 1 z) t)))
(+ (* -1 (/ (- 1 z) t)) (* y (- (* -1 (/ (* y (pow (- 1 z) 3)) (* (pow t 3) (pow z 2)))) (/ (pow (- 1 z) 2) (* (pow t 2) z)))))
(+ (* -1 (/ (- 1 z) t)) (* y (- (* y (- (* -1 (/ (* y (pow (- 1 z) 4)) (* (pow t 4) (pow z 3)))) (/ (pow (- 1 z) 3) (* (pow t 3) (pow z 2))))) (/ (pow (- 1 z) 2) (* (pow t 2) z)))))
(/ z y)
(/ (+ z (/ (* t (pow z 2)) (* y (- 1 z)))) y)
(/ (- (+ z (/ (* (pow t 2) (pow z 3)) (* (pow y 2) (pow (- 1 z) 2)))) (* -1 (/ (* t (pow z 2)) (* y (- 1 z))))) y)
(/ (- (+ z (/ (* (pow t 3) (pow z 4)) (* (pow y 3) (pow (- 1 z) 3)))) (+ (* -1 (/ (* t (pow z 2)) (* y (- 1 z)))) (* -1 (/ (* (pow t 2) (pow z 3)) (* (pow y 2) (pow (- 1 z) 2)))))) y)
(/ z y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (* t (pow z 2)) (* y (- 1 z))))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* (pow t 2) (pow z 3)) (* y (pow (- 1 z) 2))) (* -1 (/ (* t (pow z 2)) (- 1 z)))) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow t 3) (pow z 4)) (* y (pow (- 1 z) 3)))) (/ (* (pow t 2) (pow z 3)) (pow (- 1 z) 2))) y)) (* -1 (/ (* t (pow z 2)) (- 1 z)))) y))) y))
(/ z y)
(+ (/ z y) (/ (* t (pow z 2)) (* (pow y 2) (- 1 z))))
(+ (* t (- (/ (* t (pow z 3)) (* (pow y 3) (pow (- 1 z) 2))) (* -1 (/ (pow z 2) (* (pow y 2) (- 1 z)))))) (/ z y))
(+ (* t (- (* t (- (/ (* t (pow z 4)) (* (pow y 4) (pow (- 1 z) 3))) (* -1 (/ (pow z 3) (* (pow y 3) (pow (- 1 z) 2)))))) (* -1 (/ (pow z 2) (* (pow y 2) (- 1 z)))))) (/ z y))
(* -1 (/ (- 1 z) t))
(/ (+ (* -1 (- 1 z)) (* -1 (/ (* y (pow (- 1 z) 2)) (* t z)))) t)
(/ (- (+ (* -1 (- 1 z)) (* -1 (/ (* (pow y 2) (pow (- 1 z) 3)) (* (pow t 2) (pow z 2))))) (/ (* y (pow (- 1 z) 2)) (* t z))) t)
(/ (- (+ (* -1 (- 1 z)) (* -1 (/ (* (pow y 3) (pow (- 1 z) 4)) (* (pow t 3) (pow z 3))))) (+ (/ (* y (pow (- 1 z) 2)) (* t z)) (/ (* (pow y 2) (pow (- 1 z) 3)) (* (pow t 2) (pow z 2))))) t)
(* -1 (/ (- 1 z) t))
(* -1 (/ (- (+ 1 (/ (* y (pow (- 1 z) 2)) (* t z))) z) t))
(* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (pow y 2) (pow (- 1 z) 3)) (* t (pow z 2)))) (/ (* y (pow (- 1 z) 2)) z)) t))) z) t))
(* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow (- 1 z) 4)) (* t (pow z 3))) (* -1 (/ (* (pow y 2) (pow (- 1 z) 3)) (pow z 2)))) t)) (/ (* y (pow (- 1 z) 2)) z)) t))) z) t))
1
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(* -1 z)
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* -1 z)
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
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(* x (+ (/ t (- z 1)) (/ y z)))
(* x (+ (/ t (- z 1)) (/ y z)))
(* x (+ (/ t (- z 1)) (/ y z)))
(* x (+ (/ t (- z 1)) (/ y z)))
(* x (+ (/ t (- z 1)) (/ y z)))
(* x (+ (/ t (- z 1)) (/ y z)))
(* x (+ (/ t (- z 1)) (/ y z)))
(* x (+ (/ t (- z 1)) (/ y z)))
(* x (+ (/ t (- z 1)) (/ y z)))
(/ (* x y) z)
(+ (/ (* t x) (- z 1)) (/ (* x y) z))
(+ (/ (* t x) (- z 1)) (/ (* x y) z))
(+ (/ (* t x) (- z 1)) (/ (* x y) z))
(/ (* t x) (- z 1))
(* t (+ (/ x (- z 1)) (/ (* x y) (* t z))))
(* t (+ (/ x (- z 1)) (/ (* x y) (* t z))))
(* t (+ (/ x (- z 1)) (/ (* x y) (* t z))))
(/ (* t x) (- z 1))
(* -1 (* t (+ (* -1 (/ x (- z 1))) (* -1 (/ (* x y) (* t z))))))
(* -1 (* t (+ (* -1 (/ x (- z 1))) (* -1 (/ (* x y) (* t z))))))
(* -1 (* t (+ (* -1 (/ x (- z 1))) (* -1 (/ (* x y) (* t z))))))
(/ (* x y) z)
(/ (+ (* -1 (* t (* x z))) (* x y)) z)
(/ (+ (* x y) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))) z)
(/ (+ (* x y) (* z (+ (* -1 (* t x)) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))))) z)
(/ (* x (+ t y)) z)
(/ (+ (* x (+ t y)) (/ (* t x) z)) z)
(/ (+ (* x (+ t y)) (+ (/ (* t x) z) (/ (* t x) (pow z 2)))) z)
(/ (+ (* x (+ t y)) (+ (/ (* t x) z) (+ (/ (* t x) (pow z 2)) (/ (* t x) (pow z 3))))) z)
(* -1 (/ (* x (+ (* -1 t) (* -1 y))) z))
(* -1 (/ (+ (* -1 (/ (* t x) z)) (* x (+ (* -1 t) (* -1 y)))) z))
(* -1 (/ (+ (* -1 (/ (+ (* t x) (/ (* t x) z)) z)) (* x (+ (* -1 t) (* -1 y)))) z))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (* t x) z))) z)) (* t x)) z)) (* x (+ (* -1 t) (* -1 y)))) z))
(/ (* t x) (- z 1))
(+ (/ (* t x) (- z 1)) (/ (* x y) z))
(+ (/ (* t x) (- z 1)) (/ (* x y) z))
(+ (/ (* t x) (- z 1)) (/ (* x y) z))
(/ (* x y) z)
(* y (+ (/ x z) (/ (* t x) (* y (- z 1)))))
(* y (+ (/ x z) (/ (* t x) (* y (- z 1)))))
(* y (+ (/ x z) (/ (* t x) (* y (- z 1)))))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y (- z 1)))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y (- z 1)))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y (- z 1)))))))
z
(* z (+ 1 (* -1 z)))
(* z (+ 1 (* -1 z)))
(* z (+ 1 (* -1 z)))
(* -1 (pow z 2))
(* (pow z 2) (- (/ 1 z) 1))
(* (pow z 2) (- (/ 1 z) 1))
(* (pow z 2) (- (/ 1 z) 1))
(* -1 (pow z 2))
(* (pow z 2) (- (/ 1 z) 1))
(* (pow z 2) (- (/ 1 z) 1))
(* (pow z 2) (- (/ 1 z) 1))
Outputs
(/ y z)
(/.f64 y z)
(+ (/ t (- z 1)) (/ y z))
(+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(+ (/ t (- z 1)) (/ y z))
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(/ t (- z 1))
(/.f64 t (+.f64 z #s(literal -1 binary64)))
(* t (+ (/ 1 (- z 1)) (/ y (* t z))))
(fma.f64 t (/.f64 y (*.f64 z t)) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(* t (+ (/ 1 (- z 1)) (/ y (* t z))))
(fma.f64 t (/.f64 y (*.f64 z t)) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(* t (+ (/ 1 (- z 1)) (/ y (* t z))))
(fma.f64 t (/.f64 y (*.f64 z t)) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(/ t (- z 1))
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(* -1 (* t (- (* -1 (/ y (* t z))) (/ 1 (- z 1)))))
(*.f64 (+.f64 (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z t))) (/.f64 #s(literal -1 binary64) (+.f64 z #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) t))
(* -1 (* t (- (* -1 (/ y (* t z))) (/ 1 (- z 1)))))
(*.f64 (+.f64 (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z t))) (/.f64 #s(literal -1 binary64) (+.f64 z #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) t))
(* -1 (* t (- (* -1 (/ y (* t z))) (/ 1 (- z 1)))))
(*.f64 (+.f64 (/.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z t))) (/.f64 #s(literal -1 binary64) (+.f64 z #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) t))
(/ y z)
(/.f64 y z)
(/ (+ y (* -1 (* t z))) z)
(/.f64 (-.f64 y (*.f64 z t)) z)
(/ (+ y (* z (+ (* -1 t) (* -1 (* t z))))) z)
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) z) (fma.f64 z t t) y) z)
(/ (+ y (* z (+ (* -1 t) (* z (- (* -1 (* t z)) t))))) z)
(/.f64 (fma.f64 z (fma.f64 z (neg.f64 (fma.f64 z t t)) (-.f64 #s(literal 0 binary64) t)) y) z)
(/ (+ t y) z)
(/.f64 (+.f64 y t) z)
(/ (+ t (+ y (/ t z))) z)
(/.f64 (+.f64 y (+.f64 t (/.f64 t z))) z)
(/ (- (+ t (+ y (/ t (pow z 2)))) (* -1 (/ t z))) z)
(/.f64 (+.f64 (+.f64 y t) (+.f64 (/.f64 t z) (/.f64 t (*.f64 z z)))) z)
(/ (- (+ t (+ y (/ t (pow z 3)))) (+ (* -1 (/ t z)) (* -1 (/ t (pow z 2))))) z)
(/.f64 (+.f64 (+.f64 t (+.f64 y (/.f64 t (*.f64 z (*.f64 z z))))) (/.f64 (+.f64 t (/.f64 t z)) z)) z)
(* -1 (/ (+ (* -1 t) (* -1 y)) z))
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(* -1 (/ (+ (* -1 t) (+ (* -1 y) (* -1 (/ t z)))) z))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 y t) (/.f64 t z)) z)
(* -1 (/ (+ (* -1 t) (+ (* -1 y) (* -1 (/ (+ t (/ t z)) z)))) z))
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(* -1 (/ (+ (* -1 t) (+ (* -1 y) (* -1 (/ (+ t (* -1 (/ (+ (* -1 t) (* -1 (/ t z))) z))) z)))) z))
(/.f64 (-.f64 (-.f64 (-.f64 #s(literal 0 binary64) t) y) (/.f64 (+.f64 t (/.f64 (+.f64 t (/.f64 t z)) z)) z)) (-.f64 #s(literal 0 binary64) z))
(/ t (- z 1))
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(+ (/ t (- z 1)) (/ y z))
(+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(+ (/ t (- z 1)) (/ y z))
(+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(+ (/ t (- z 1)) (/ y z))
(+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(/ y z)
(/.f64 y z)
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(fma.f64 y (/.f64 t (*.f64 y (+.f64 z #s(literal -1 binary64)))) (/.f64 y z))
(* y (+ (/ 1 z) (/ t (* y (- z 1)))))
(fma.f64 y (/.f64 t (*.f64 y (+.f64 z #s(literal -1 binary64)))) (/.f64 y z))
(* y (+ (/ 1 z) (/ t (* y (- z 1)))))
(fma.f64 y (/.f64 t (*.f64 y (+.f64 z #s(literal -1 binary64)))) (/.f64 y z))
(/ y z)
(/.f64 y z)
(* -1 (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 y (+.f64 z #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) z)))
(* -1 (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 y (+.f64 z #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) z)))
(* -1 (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 y (+.f64 z #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) z)))
-1
#s(literal -1 binary64)
(- (* -1 z) 1)
(+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) z))
(- (* z (- (* -1 z) 1)) 1)
(fma.f64 z (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) z)) #s(literal -1 binary64))
(- (* z (- (* z (- (* -1 z) 1)) 1)) 1)
(fma.f64 z (fma.f64 z (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) z)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ (+ 1 (/ 1 z)) z)
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(/ (+ 1 (+ (/ 1 z) (/ 1 (pow z 2)))) z)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) z)
(/ (+ 1 (+ (/ 1 z) (+ (/ 1 (pow z 2)) (/ 1 (pow z 3))))) z)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))))) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ (+ 1 (/ 1 z)) z)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) z)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 z)) z)) 1) z))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)) z)) (-.f64 #s(literal 0 binary64) z))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 z) (/ 1 (pow z 2)))) z)) 1) z))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) (-.f64 #s(literal 0 binary64) z))) (-.f64 #s(literal 0 binary64) z))
-1
#s(literal -1 binary64)
(- z 1)
(+.f64 z #s(literal -1 binary64))
(- z 1)
(+.f64 z #s(literal -1 binary64))
(- z 1)
(+.f64 z #s(literal -1 binary64))
z
(* z (- 1 (/ 1 z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))
(* z (- 1 (/ 1 z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))
(* z (- 1 (/ 1 z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))
z
(* -1 (* z (- (/ 1 z) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)))
(* -1 (* z (- (/ 1 z) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)))
(* -1 (* z (- (/ 1 z) 1)))
(*.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)))
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
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(/ y z)
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(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
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(/ y z)
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(/ y z)
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(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
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(/ y z)
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(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ t (- z 1))
(/.f64 t (+.f64 z #s(literal -1 binary64)))
(/ t (- z 1))
(/.f64 t (+.f64 z #s(literal -1 binary64)))
(/ t (- z 1))
(/.f64 t (+.f64 z #s(literal -1 binary64)))
(/ t (- z 1))
(/.f64 t (+.f64 z #s(literal -1 binary64)))
(/ t (- z 1))
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(/ t (- z 1))
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(/ t (- z 1))
(/.f64 t (+.f64 z #s(literal -1 binary64)))
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(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 (*.f64 z z) (*.f64 y (-.f64 #s(literal 1 binary64) z))) (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 t t) (*.f64 y (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))))) z))) y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow t 3) (pow z 4)) (* y (pow (- 1 z) 3)))) (/ (* (pow t 2) (pow z 3)) (pow (- 1 z) 2))) y)) (* -1 (/ (* t (pow z 2)) (- 1 z)))) y))) y))
(/.f64 (-.f64 (/.f64 (fma.f64 t (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (fma.f64 (*.f64 t (*.f64 t t)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))))) (/.f64 (*.f64 t (*.f64 z (*.f64 z (*.f64 z t)))) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))))) y))) (-.f64 #s(literal 0 binary64) y)) z) (-.f64 #s(literal 0 binary64) y))
(/ z y)
(/.f64 z y)
(+ (/ z y) (/ (* t (pow z 2)) (* (pow y 2) (- 1 z))))
(fma.f64 t (/.f64 (*.f64 z z) (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) z)))) (/.f64 z y))
(+ (* t (- (/ (* t (pow z 3)) (* (pow y 3) (pow (- 1 z) 2))) (* -1 (/ (pow z 2) (* (pow y 2) (- 1 z)))))) (/ z y))
(fma.f64 t (fma.f64 z (/.f64 z (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) z)))) (/.f64 (*.f64 z (*.f64 z (*.f64 z t))) (*.f64 y (*.f64 y (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))))))) (/.f64 z y))
(+ (* t (- (* t (- (/ (* t (pow z 4)) (* (pow y 4) (pow (- 1 z) 3))) (* -1 (/ (pow z 3) (* (pow y 3) (pow (- 1 z) 2)))))) (* -1 (/ (pow z 2) (* (pow y 2) (- 1 z)))))) (/ z y))
(fma.f64 t (fma.f64 t (fma.f64 z (/.f64 (*.f64 z z) (*.f64 y (*.f64 y (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))))) (/.f64 (*.f64 t (pow.f64 z #s(literal 4 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (*.f64 z z) (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) z))))) (/.f64 z y))
(* -1 (/ (- 1 z) t))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) t))
(/ (+ (* -1 (- 1 z)) (* -1 (/ (* y (pow (- 1 z) 2)) (* t z)))) t)
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (/.f64 y (*.f64 z t)) (-.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 0 binary64) t))
(/ (- (+ (* -1 (- 1 z)) (* -1 (/ (* (pow y 2) (pow (- 1 z) 3)) (* (pow t 2) (pow z 2))))) (/ (* y (pow (- 1 z) 2)) (* t z))) t)
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) z)) (fma.f64 y (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 z t)) (/.f64 (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))))) (*.f64 z (*.f64 z (*.f64 t t)))))) t)
(/ (- (+ (* -1 (- 1 z)) (* -1 (/ (* (pow y 3) (pow (- 1 z) 4)) (* (pow t 3) (pow z 3))))) (+ (/ (* y (pow (- 1 z) 2)) (* t z)) (/ (* (pow y 2) (pow (- 1 z) 3)) (* (pow t 2) (pow z 2))))) t)
(/.f64 (-.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 t (*.f64 t (*.f64 z (*.f64 z (*.f64 z t)))))) (-.f64 #s(literal 1 binary64) z))) (fma.f64 y (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 z t)) (/.f64 (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))))) (*.f64 z (*.f64 z (*.f64 t t)))))) t)
(* -1 (/ (- 1 z) t))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) t))
(* -1 (/ (- (+ 1 (/ (* y (pow (- 1 z) 2)) (* t z))) z) t))
(/.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (/.f64 y (*.f64 z t)) (-.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 0 binary64) t))
(* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (* (pow y 2) (pow (- 1 z) 3)) (* t (pow z 2)))) (/ (* y (pow (- 1 z) 2)) z)) t))) z) t))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 z t)) (/.f64 (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))))) (*.f64 z (*.f64 z (*.f64 t t))))))) z) (-.f64 #s(literal 0 binary64) t))
(* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow (- 1 z) 4)) (* t (pow z 3))) (* -1 (/ (* (pow y 2) (pow (- 1 z) 3)) (pow z 2)))) t)) (/ (* y (pow (- 1 z) 2)) z)) t))) z) t))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 (/.f64 (neg.f64 (fma.f64 y (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) (*.f64 z z)))) (/.f64 (*.f64 (*.f64 y y) (*.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 4 binary64)))) (*.f64 z (*.f64 z (*.f64 z t)))))) (*.f64 t t)) (/.f64 (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))) (*.f64 z t)))) z) (-.f64 #s(literal 0 binary64) t))
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (/ 1 z) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)))
(* z (- (/ 1 z) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)))
(* z (- (/ 1 z) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))))
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))))
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 0 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))))
(* x (+ (/ t (- z 1)) (/ y z)))
(*.f64 (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))) x)
(* x (+ (/ t (- z 1)) (/ y z)))
(*.f64 (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))) x)
(* x (+ (/ t (- z 1)) (/ y z)))
(*.f64 (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))) x)
(* x (+ (/ t (- z 1)) (/ y z)))
(*.f64 (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))) x)
(* x (+ (/ t (- z 1)) (/ y z)))
(*.f64 (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))) x)
(* x (+ (/ t (- z 1)) (/ y z)))
(*.f64 (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))) x)
(* x (+ (/ t (- z 1)) (/ y z)))
(*.f64 (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))) x)
(* x (+ (/ t (- z 1)) (/ y z)))
(*.f64 (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))) x)
(* x (+ (/ t (- z 1)) (/ y z)))
(*.f64 (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))) x)
(* x (+ (/ t (- z 1)) (/ y z)))
(*.f64 (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))) x)
(* x (+ (/ t (- z 1)) (/ y z)))
(*.f64 (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))) x)
(* x (+ (/ t (- z 1)) (/ y z)))
(*.f64 (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))) x)
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(+ (/ (* t x) (- z 1)) (/ (* x y) z))
(*.f64 (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))) x)
(+ (/ (* t x) (- z 1)) (/ (* x y) z))
(*.f64 (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))) x)
(+ (/ (* t x) (- z 1)) (/ (* x y) z))
(*.f64 (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))) x)
(/ (* t x) (- z 1))
(/.f64 (*.f64 t x) (+.f64 z #s(literal -1 binary64)))
(* t (+ (/ x (- z 1)) (/ (* x y) (* t z))))
(*.f64 t (fma.f64 y (/.f64 x (*.f64 z t)) (/.f64 x (+.f64 z #s(literal -1 binary64)))))
(* t (+ (/ x (- z 1)) (/ (* x y) (* t z))))
(*.f64 t (fma.f64 y (/.f64 x (*.f64 z t)) (/.f64 x (+.f64 z #s(literal -1 binary64)))))
(* t (+ (/ x (- z 1)) (/ (* x y) (* t z))))
(*.f64 t (fma.f64 y (/.f64 x (*.f64 z t)) (/.f64 x (+.f64 z #s(literal -1 binary64)))))
(/ (* t x) (- z 1))
(/.f64 (*.f64 t x) (+.f64 z #s(literal -1 binary64)))
(* -1 (* t (+ (* -1 (/ x (- z 1))) (* -1 (/ (* x y) (* t z))))))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) t) (fma.f64 y (/.f64 x (*.f64 z t)) (/.f64 x (+.f64 z #s(literal -1 binary64))))))
(* -1 (* t (+ (* -1 (/ x (- z 1))) (* -1 (/ (* x y) (* t z))))))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) t) (fma.f64 y (/.f64 x (*.f64 z t)) (/.f64 x (+.f64 z #s(literal -1 binary64))))))
(* -1 (* t (+ (* -1 (/ x (- z 1))) (* -1 (/ (* x y) (* t z))))))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) t) (fma.f64 y (/.f64 x (*.f64 z t)) (/.f64 x (+.f64 z #s(literal -1 binary64))))))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(/ (+ (* -1 (* t (* x z))) (* x y)) z)
(/.f64 (fma.f64 y x (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 t x)))) z)
(/ (+ (* x y) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))) z)
(/.f64 (fma.f64 z (*.f64 (-.f64 #s(literal 0 binary64) t) (fma.f64 z x x)) (*.f64 y x)) z)
(/ (+ (* x y) (* z (+ (* -1 (* t x)) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))))) z)
(/.f64 (fma.f64 y x (*.f64 z (fma.f64 z (*.f64 (-.f64 #s(literal 0 binary64) t) (fma.f64 z x x)) (-.f64 #s(literal 0 binary64) (*.f64 t x))))) z)
(/ (* x (+ t y)) z)
(*.f64 (/.f64 (+.f64 y t) z) x)
(/ (+ (* x (+ t y)) (/ (* t x) z)) z)
(/.f64 (fma.f64 y x (*.f64 t (+.f64 x (/.f64 x z)))) z)
(/ (+ (* x (+ t y)) (+ (/ (* t x) z) (/ (* t x) (pow z 2)))) z)
(/.f64 (fma.f64 t (+.f64 (/.f64 x z) (/.f64 x (*.f64 z z))) (*.f64 (+.f64 y t) x)) z)
(/ (+ (* x (+ t y)) (+ (/ (* t x) z) (+ (/ (* t x) (pow z 2)) (/ (* t x) (pow z 3))))) z)
(/.f64 (fma.f64 t (+.f64 (/.f64 x (*.f64 z z)) (/.f64 x (*.f64 z (*.f64 z z)))) (fma.f64 y x (*.f64 t (+.f64 x (/.f64 x z))))) z)
(* -1 (/ (* x (+ (* -1 t) (* -1 y))) z))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) t) y) z) x))
(* -1 (/ (+ (* -1 (/ (* t x) z)) (* x (+ (* -1 t) (* -1 y)))) z))
(/.f64 (fma.f64 x (*.f64 #s(literal 1 binary64) (+.f64 y t)) (/.f64 (*.f64 t x) z)) z)
(* -1 (/ (+ (* -1 (/ (+ (* t x) (/ (* t x) z)) z)) (* x (+ (* -1 t) (* -1 y)))) z))
(/.f64 (fma.f64 (-.f64 (-.f64 #s(literal 0 binary64) t) y) (-.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 t (+.f64 x (/.f64 x z))) z)) z)
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (* t x) z))) z)) (* t x)) z)) (* x (+ (* -1 t) (* -1 y)))) z))
(/.f64 (-.f64 (*.f64 (+.f64 y t) (-.f64 #s(literal 0 binary64) x)) (/.f64 (fma.f64 t x (/.f64 (*.f64 t (+.f64 x (/.f64 x z))) z)) z)) (-.f64 #s(literal 0 binary64) z))
(/ (* t x) (- z 1))
(/.f64 (*.f64 t x) (+.f64 z #s(literal -1 binary64)))
(+ (/ (* t x) (- z 1)) (/ (* x y) z))
(*.f64 (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))) x)
(+ (/ (* t x) (- z 1)) (/ (* x y) z))
(*.f64 (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))) x)
(+ (/ (* t x) (- z 1)) (/ (* x y) z))
(*.f64 (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))) x)
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(* y (+ (/ x z) (/ (* t x) (* y (- z 1)))))
(*.f64 y (fma.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64)))) (/.f64 x z)))
(* y (+ (/ x z) (/ (* t x) (* y (- z 1)))))
(*.f64 y (fma.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64)))) (/.f64 x z)))
(* y (+ (/ x z) (/ (* t x) (* y (- z 1)))))
(*.f64 y (fma.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64)))) (/.f64 x z)))
(/ (* x y) z)
(*.f64 y (/.f64 x z))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y (- z 1)))))))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64)))) (/.f64 x z))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y (- z 1)))))))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64)))) (/.f64 x z))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y (- z 1)))))))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 t (/.f64 x (*.f64 y (+.f64 z #s(literal -1 binary64)))) (/.f64 x z))))
z
(* z (+ 1 (* -1 z)))
(*.f64 z (-.f64 #s(literal 1 binary64) z))
(* z (+ 1 (* -1 z)))
(*.f64 z (-.f64 #s(literal 1 binary64) z))
(* z (+ 1 (* -1 z)))
(*.f64 z (-.f64 #s(literal 1 binary64) z))
(* -1 (pow z 2))
(*.f64 z (-.f64 #s(literal 0 binary64) z))
(* (pow z 2) (- (/ 1 z) 1))
(*.f64 z (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z))))
(* (pow z 2) (- (/ 1 z) 1))
(*.f64 z (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z))))
(* (pow z 2) (- (/ 1 z) 1))
(*.f64 z (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z))))
(* -1 (pow z 2))
(*.f64 z (-.f64 #s(literal 0 binary64) z))
(* (pow z 2) (- (/ 1 z) 1))
(*.f64 z (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z))))
(* (pow z 2) (- (/ 1 z) 1))
(*.f64 z (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z))))
(* (pow z 2) (- (/ 1 z) 1))
(*.f64 z (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z))))

eval330.0ms (3.2%)

Memory
-0.5MiB live, 422.9MiB allocated
Compiler

Compiled 35 736 to 4 069 computations (88.6% saved)

prune297.0ms (2.9%)

Memory
-0.7MiB live, 401.7MiB allocated
Pruning

19 alts after pruning (16 fresh and 3 done)

PrunedKeptTotal
New1 701141 715
Fresh628
Picked325
Done011
Total1 710191 729
Accuracy
100.0%
Counts
1 729 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.3%
(/.f64 (*.f64 (+.f64 y t) x) z)
60.2%
(/.f64 (*.f64 y x) z)
63.4%
(/.f64 (*.f64 x (-.f64 y (fma.f64 t z #s(literal 0 binary64)))) z)
47.0%
(/.f64 (*.f64 t x) (+.f64 z #s(literal -1 binary64)))
36.4%
(/.f64 (*.f64 t x) z)
48.3%
(/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) z) t))
62.0%
(/.f64 x (/.f64 z y))
▶21.8%
(-.f64 #s(literal 0 binary64) (*.f64 t x))
17.8%
(*.f64 (-.f64 #s(literal 0 binary64) t) (fma.f64 z x x))
▶71.7%
(*.f64 (+.f64 t y) (/.f64 x z))
▶59.3%
(*.f64 y (/.f64 x z))
▶84.8%
(*.f64 x (fma.f64 t (/.f64 y (*.f64 z t)) (/.f64 t (+.f64 z #s(literal -1 binary64)))))
✓62.0%
(*.f64 x (/.f64 y z))
✓48.3%
(*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z)))
37.1%
(*.f64 x (/.f64 t z))
✓96.5%
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
64.7%
(*.f64 x (-.f64 (/.f64 y z) t))
▶48.3%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) z)) t))
17.8%
(*.f64 x (neg.f64 (fma.f64 z t t)))
Compiler

Compiled 389 to 262 computations (32.6% saved)

simplify339.0ms (3.3%)

Memory
-4.8MiB live, 354.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) z)) t))
✓cost-diff0
(+.f64 #s(literal -1 binary64) z)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) z))
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) z)) t)
✓cost-diff-64
(*.f64 (+.f64 t y) (/.f64 x z))
✓cost-diff0
(/.f64 x z)
✓cost-diff0
(+.f64 t y)
✓cost-diff-64
(*.f64 y (/.f64 x z))
✓cost-diff0
(/.f64 x z)
✓cost-diff-64
(*.f64 t x)
✓cost-diff0
(-.f64 #s(literal 0 binary64) (*.f64 t x))
✓cost-diff0
(+.f64 z #s(literal -1 binary64))
✓cost-diff0
(/.f64 t (+.f64 z #s(literal -1 binary64)))
✓cost-diff0
(/.f64 y (*.f64 z t))
✓cost-diff576
(fma.f64 t (/.f64 y (*.f64 z t)) (/.f64 t (+.f64 z #s(literal -1 binary64))))
Rules
6 468×accelerator-lowering-fma.f32
6 468×accelerator-lowering-fma.f64
3 930×*-lowering-*.f32
3 930×*-lowering-*.f64
2 842×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
024114
159112
2120108
3332104
4883104
51675104
62509104
73467104
85099104
96650104
107409104
117868104
08022104
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* x (+ (* t (/ y (* z t))) (/ t (+ z -1))))
x
(+ (* t (/ y (* z t))) (/ t (+ z -1)))
t
(/ y (* z t))
y
(* z t)
z
(/ t (+ z -1))
(+ z -1)
-1
(- 0 (* t x))
0
(* t x)
t
x
(* y (/ x z))
y
(/ x z)
x
z
(* (+ t y) (/ x z))
(+ t y)
t
y
(/ x z)
x
z
(* x (* (/ 1 (+ -1 z)) t))
x
(* (/ 1 (+ -1 z)) t)
(/ 1 (+ -1 z))
1
(+ -1 z)
-1
z
t
Outputs
(* x (+ (* t (/ y (* z t))) (/ t (+ z -1))))
(fma.f64 x (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))) #s(literal 0 binary64))
x
(+ (* t (/ y (* z t))) (/ t (+ z -1)))
(+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64))))
t
(/ y (* z t))
(/.f64 y (fma.f64 t z #s(literal 0 binary64)))
y
(* z t)
(fma.f64 t z #s(literal 0 binary64))
z
(/ t (+ z -1))
(/.f64 t (+.f64 z #s(literal -1 binary64)))
(+ z -1)
(+.f64 z #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- 0 (* t x))
(-.f64 #s(literal 0 binary64) (fma.f64 x t #s(literal 0 binary64)))
0
#s(literal 0 binary64)
(* t x)
(fma.f64 x t #s(literal 0 binary64))
t
x
(* y (/ x z))
(fma.f64 (/.f64 x z) y #s(literal 0 binary64))
y
(/ x z)
(/.f64 x z)
x
z
(* (+ t y) (/ x z))
(fma.f64 (/.f64 x z) (+.f64 t y) #s(literal 0 binary64))
(+ t y)
(+.f64 t y)
t
y
(/ x z)
(/.f64 x z)
x
z
(* x (* (/ 1 (+ -1 z)) t))
(/.f64 (fma.f64 x t #s(literal 0 binary64)) (+.f64 z #s(literal -1 binary64)))
x
(* (/ 1 (+ -1 z)) t)
(/.f64 t (+.f64 z #s(literal -1 binary64)))
(/ 1 (+ -1 z))
(/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ -1 z)
(+.f64 z #s(literal -1 binary64))
-1
#s(literal -1 binary64)
z
t

localize106.0ms (1%)

Memory
24.9MiB live, 100.1MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) z)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) z))
✓accuracy99.9%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) z)) t)
✓accuracy97.2%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) z)) t))
✓accuracy100.0%
(/.f64 x z)
✓accuracy100.0%
(+.f64 t y)
✓accuracy90.1%
(*.f64 (+.f64 t y) (/.f64 x z))
✓accuracy100.0%
(/.f64 x z)
✓accuracy91.3%
(*.f64 y (/.f64 x z))
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) (*.f64 t x))
✓accuracy100.0%
(*.f64 t x)
✓accuracy100.0%
(/.f64 t (+.f64 z #s(literal -1 binary64)))
✓accuracy96.6%
(*.f64 x (fma.f64 t (/.f64 y (*.f64 z t)) (/.f64 t (+.f64 z #s(literal -1 binary64)))))
✓accuracy93.0%
(/.f64 y (*.f64 z t))
✓accuracy91.4%
(fma.f64 t (/.f64 y (*.f64 z t)) (/.f64 t (+.f64 z #s(literal -1 binary64))))
Samples
81.0ms256×0valid
Compiler

Compiled 117 to 26 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 12.0ms (47.8% of total)
ival-div: 7.0ms (27.9% of total)
ival-add: 5.0ms (19.9% of total)
ival-sub: 1.0ms (4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory
-12.1MiB live, 23.6MiB allocated
Counts
15 → 420
Calls
Call 1
Inputs
#<alt (+ (* t (/ y (* z t))) (/ t (+ z -1)))>
#<alt (/ y (* z t))>
#<alt (/ t (+ z -1))>
#<alt (+ z -1)>
#<alt (- 0 (* t x))>
#<alt (* t x)>
#<alt (/ x z)>
#<alt (* y (/ x z))>
#<alt (+ t y)>
#<alt (* (+ t y) (/ x z))>
#<alt (* (/ 1 (+ -1 z)) t)>
#<alt (/ 1 (+ -1 z))>
#<alt (+ -1 z)>
#<alt (* x (* (/ 1 (+ -1 z)) t))>
#<alt (* x (+ (* t (/ y (* z t))) (/ t (+ z -1))))>
Outputs
#<alt (/ y z)>
#<alt (+ (/ t (- z 1)) (/ y z))>
#<alt (+ (/ t (- z 1)) (/ y z))>
#<alt (+ (/ t (- z 1)) (/ y z))>
#<alt (/ t (- z 1))>
#<alt (* t (+ (/ 1 (- z 1)) (/ y (* t z))))>
#<alt (* t (+ (/ 1 (- z 1)) (/ y (* t z))))>
#<alt (* t (+ (/ 1 (- z 1)) (/ y (* t z))))>
#<alt (/ t (- z 1))>
#<alt (* -1 (* t (- (* -1 (/ y (* t z))) (/ 1 (- z 1)))))>
#<alt (* -1 (* t (- (* -1 (/ y (* t z))) (/ 1 (- z 1)))))>
#<alt (* -1 (* t (- (* -1 (/ y (* t z))) (/ 1 (- z 1)))))>
#<alt (/ t (- z 1))>
#<alt (+ (/ t (- z 1)) (/ y z))>
#<alt (+ (/ t (- z 1)) (/ y z))>
#<alt (+ (/ t (- z 1)) (/ y z))>
#<alt (/ y z)>
#<alt (* y (+ (/ 1 z) (/ t (* y (- z 1)))))>
#<alt (* y (+ (/ 1 z) (/ t (* y (- z 1)))))>
#<alt (* y (+ (/ 1 z) (/ t (* y (- z 1)))))>
#<alt (/ y z)>
#<alt (* -1 (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z))))>
#<alt (* -1 (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z))))>
#<alt (* -1 (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z))))>
#<alt (/ y z)>
#<alt (/ (+ y (* -1 (* t z))) z)>
#<alt (/ (+ y (* z (+ (* -1 t) (* -1 (* t z))))) z)>
#<alt (/ (+ y (* z (+ (* -1 t) (* z (- (* -1 (* t z)) t))))) z)>
#<alt (/ (+ t y) z)>
#<alt (/ (+ t (+ y (/ t z))) z)>
#<alt (/ (- (+ t (+ y (/ t (pow z 2)))) (* -1 (/ t z))) z)>
#<alt (/ (- (+ t (+ y (/ t (pow z 3)))) (+ (* -1 (/ t z)) (* -1 (/ t (pow z 2))))) z)>
#<alt (* -1 (/ (+ (* -1 t) (* -1 y)) z))>
#<alt (* -1 (/ (+ (* -1 t) (+ (* -1 y) (* -1 (/ t z)))) z))>
#<alt (* -1 (/ (+ (* -1 t) (+ (* -1 y) (* -1 (/ (+ t (/ t z)) z)))) z))>
#<alt (* -1 (/ (+ (* -1 t) (+ (* -1 y) (* -1 (/ (+ t (* -1 (/ (+ (* -1 t) (* -1 (/ t z))) z))) z)))) z))>
#<alt (/ y (* t z))>
#<alt (/ y (* t z))>
#<alt (/ y (* t z))>
#<alt (/ y (* t z))>
#<alt (/ y (* t z))>
#<alt (/ y (* t z))>
#<alt (/ y (* t z))>
#<alt (/ y (* t z))>
#<alt (/ y (* t z))>
#<alt (/ y (* t z))>
#<alt (/ y (* t z))>
#<alt (/ y (* t z))>
#<alt (/ y (* t z))>
#<alt (/ y (* t z))>
#<alt (/ y (* t z))>
#<alt (/ y (* t z))>
#<alt (/ y (* t z))>
#<alt (/ y (* t z))>
#<alt (/ y (* t z))>
#<alt (/ y (* t z))>
#<alt (/ y (* t z))>
#<alt (/ y (* t z))>
#<alt (/ y (* t z))>
#<alt (/ y (* t z))>
#<alt (/ y (* t z))>
#<alt (/ y (* t z))>
#<alt (/ y (* t z))>
#<alt (/ y (* t z))>
#<alt (/ y (* t z))>
#<alt (/ y (* t z))>
#<alt (/ y (* t z))>
#<alt (/ y (* t z))>
#<alt (/ y (* t z))>
#<alt (/ y (* t z))>
#<alt (/ y (* t z))>
#<alt (/ y (* t z))>
#<alt (/ t (- z 1))>
#<alt (/ t (- z 1))>
#<alt (/ t (- z 1))>
#<alt (/ t (- z 1))>
#<alt (/ t (- z 1))>
#<alt (/ t (- z 1))>
#<alt (/ t (- z 1))>
#<alt (/ t (- z 1))>
#<alt (/ t (- z 1))>
#<alt (/ t (- z 1))>
#<alt (/ t (- z 1))>
#<alt (/ t (- z 1))>
#<alt (* -1 t)>
#<alt (+ (* -1 t) (* -1 (* t z)))>
#<alt (+ (* -1 t) (* z (- (* -1 (* t z)) t)))>
#<alt (+ (* -1 t) (* z (- (* z (- (* -1 (* t z)) t)) t)))>
#<alt (/ t z)>
#<alt (/ (+ t (/ t z)) z)>
#<alt (/ (- (+ t (/ t (pow z 2))) (* -1 (/ t z))) z)>
#<alt (/ (- (+ t (/ t (pow z 3))) (+ (* -1 (/ t z)) (* -1 (/ t (pow z 2))))) z)>
#<alt (/ t z)>
#<alt (* -1 (/ (+ (* -1 t) (* -1 (/ t z))) z))>
#<alt (* -1 (/ (+ (* -1 t) (* -1 (/ (+ t (/ t z)) z))) z))>
#<alt (* -1 (/ (+ (* -1 t) (* -1 (/ (+ t (* -1 (/ (+ (* -1 t) (* -1 (/ t z))) z))) z))) z))>
#<alt -1>
#<alt (- z 1)>
#<alt (- z 1)>
#<alt (- z 1)>
#<alt z>
#<alt (* z (- 1 (/ 1 z)))>
#<alt (* z (- 1 (/ 1 z)))>
#<alt (* z (- 1 (/ 1 z)))>
#<alt z>
#<alt (* -1 (* z (- (/ 1 z) 1)))>
#<alt (* -1 (* z (- (/ 1 z) 1)))>
#<alt (* -1 (* z (- (/ 1 z) 1)))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<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) 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) 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) 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 y>
#<alt (+ t y)>
#<alt (+ t y)>
#<alt (+ t y)>
#<alt t>
#<alt (* t (+ 1 (/ y t)))>
#<alt (* t (+ 1 (/ y t)))>
#<alt (* t (+ 1 (/ y t)))>
#<alt t>
#<alt (* -1 (* t (- (* -1 (/ y t)) 1)))>
#<alt (* -1 (* t (- (* -1 (/ y t)) 1)))>
#<alt (* -1 (* t (- (* -1 (/ y t)) 1)))>
#<alt t>
#<alt (+ t y)>
#<alt (+ t y)>
#<alt (+ t y)>
#<alt y>
#<alt (* y (+ 1 (/ t y)))>
#<alt (* y (+ 1 (/ t y)))>
#<alt (* y (+ 1 (/ t y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ t y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ t y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ t y)) 1)))>
#<alt (/ (* x y) z)>
#<alt (+ (/ (* t x) z) (/ (* x y) z))>
#<alt (+ (/ (* t x) z) (/ (* x y) z))>
#<alt (+ (/ (* t x) z) (/ (* x y) z))>
#<alt (/ (* t x) z)>
#<alt (* t (+ (/ x z) (/ (* x y) (* t z))))>
#<alt (* t (+ (/ x z) (/ (* x y) (* t z))))>
#<alt (* t (+ (/ x z) (/ (* x y) (* t z))))>
#<alt (/ (* t x) z)>
#<alt (* -1 (* t (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t z))))))>
#<alt (* -1 (* t (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t z))))))>
#<alt (* -1 (* t (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t z))))))>
#<alt (/ (* t x) z)>
#<alt (+ (/ (* t x) z) (/ (* x y) z))>
#<alt (+ (/ (* t x) z) (/ (* x y) z))>
#<alt (+ (/ (* t x) z) (/ (* x y) z))>
#<alt (/ (* x y) z)>
#<alt (* y (+ (/ x z) (/ (* t x) (* y z))))>
#<alt (* y (+ (/ x z) (/ (* t x) (* y z))))>
#<alt (* y (+ (/ x z) (/ (* t x) (* y z))))>
#<alt (/ (* x y) z)>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y z))))))>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y z))))))>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y z))))))>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (* -1 t)>
#<alt (+ (* -1 t) (* -1 (* t z)))>
#<alt (+ (* -1 t) (* z (- (* -1 (* t z)) t)))>
#<alt (+ (* -1 t) (* z (- (* z (- (* -1 (* t z)) t)) t)))>
#<alt (/ t z)>
#<alt (/ (+ t (/ t z)) z)>
#<alt (/ (- (+ t (/ t (pow z 2))) (* -1 (/ t z))) z)>
#<alt (/ (- (+ t (/ t (pow z 3))) (+ (* -1 (/ t z)) (* -1 (/ t (pow z 2))))) z)>
#<alt (/ t z)>
#<alt (* -1 (/ (+ (* -1 t) (* -1 (/ t z))) z))>
#<alt (* -1 (/ (+ (* -1 t) (* -1 (/ (+ t (/ t z)) z))) z))>
#<alt (* -1 (/ (+ (* -1 t) (* -1 (/ (+ t (* -1 (/ (+ (* -1 t) (* -1 (/ t z))) z))) z))) z))>
#<alt (/ t (- z 1))>
#<alt (/ t (- z 1))>
#<alt (/ t (- z 1))>
#<alt (/ t (- z 1))>
#<alt (/ t (- z 1))>
#<alt (/ t (- z 1))>
#<alt (/ t (- z 1))>
#<alt (/ t (- z 1))>
#<alt (/ t (- z 1))>
#<alt (/ t (- z 1))>
#<alt (/ t (- z 1))>
#<alt (/ t (- z 1))>
#<alt -1>
#<alt (- (* -1 z) 1)>
#<alt (- (* z (- (* -1 z) 1)) 1)>
#<alt (- (* z (- (* z (- (* -1 z) 1)) 1)) 1)>
#<alt (/ 1 z)>
#<alt (/ (+ 1 (/ 1 z)) z)>
#<alt (/ (+ 1 (+ (/ 1 z) (/ 1 (pow z 2)))) z)>
#<alt (/ (+ 1 (+ (/ 1 z) (+ (/ 1 (pow z 2)) (/ 1 (pow z 3))))) z)>
#<alt (/ 1 z)>
#<alt (/ (+ 1 (/ 1 z)) z)>
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 z)) z)) 1) z))>
#<alt (* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 z) (/ 1 (pow z 2)))) z)) 1) z))>
#<alt -1>
#<alt (- z 1)>
#<alt (- z 1)>
#<alt (- z 1)>
#<alt z>
#<alt (* z (- 1 (/ 1 z)))>
#<alt (* z (- 1 (/ 1 z)))>
#<alt (* z (- 1 (/ 1 z)))>
#<alt z>
#<alt (* -1 (* z (- (/ 1 z) 1)))>
#<alt (* -1 (* z (- (/ 1 z) 1)))>
#<alt (* -1 (* z (- (/ 1 z) 1)))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (* -1 (* t x))>
#<alt (+ (* -1 (* t x)) (* -1 (* t (* x z))))>
#<alt (+ (* -1 (* t x)) (* z (- (* -1 (* t (* x z))) (* t x))))>
#<alt (+ (* -1 (* t x)) (* z (- (* z (- (* -1 (* t (* x z))) (* t x))) (* t x))))>
#<alt (/ (* t x) z)>
#<alt (/ (+ (* t x) (/ (* t x) z)) z)>
#<alt (/ (- (+ (* t x) (/ (* t x) (pow z 2))) (* -1 (/ (* t x) z))) z)>
#<alt (/ (- (+ (* t x) (/ (* t x) (pow z 3))) (+ (* -1 (/ (* t x) z)) (* -1 (/ (* t x) (pow z 2))))) z)>
#<alt (/ (* t x) z)>
#<alt (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (* t x) z))) z))>
#<alt (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (+ (* t x) (/ (* t x) z)) z))) z))>
#<alt (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (* t x) z))) z)) (* t x)) z))) z))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (* x (+ (/ t (- z 1)) (/ y z)))>
#<alt (* x (+ (/ t (- z 1)) (/ y z)))>
#<alt (* x (+ (/ t (- z 1)) (/ y z)))>
#<alt (* x (+ (/ t (- z 1)) (/ y z)))>
#<alt (* x (+ (/ t (- z 1)) (/ y z)))>
#<alt (* x (+ (/ t (- z 1)) (/ y z)))>
#<alt (* x (+ (/ t (- z 1)) (/ y z)))>
#<alt (* x (+ (/ t (- z 1)) (/ y z)))>
#<alt (* x (+ (/ t (- z 1)) (/ y z)))>
#<alt (* x (+ (/ t (- z 1)) (/ y z)))>
#<alt (* x (+ (/ t (- z 1)) (/ y z)))>
#<alt (* x (+ (/ t (- z 1)) (/ y z)))>
#<alt (/ (* x y) z)>
#<alt (+ (/ (* t x) (- z 1)) (/ (* x y) z))>
#<alt (+ (/ (* t x) (- z 1)) (/ (* x y) z))>
#<alt (+ (/ (* t x) (- z 1)) (/ (* x y) z))>
#<alt (/ (* t x) (- z 1))>
#<alt (* t (+ (/ x (- z 1)) (/ (* x y) (* t z))))>
#<alt (* t (+ (/ x (- z 1)) (/ (* x y) (* t z))))>
#<alt (* t (+ (/ x (- z 1)) (/ (* x y) (* t z))))>
#<alt (/ (* t x) (- z 1))>
#<alt (* -1 (* t (+ (* -1 (/ x (- z 1))) (* -1 (/ (* x y) (* t z))))))>
#<alt (* -1 (* t (+ (* -1 (/ x (- z 1))) (* -1 (/ (* x y) (* t z))))))>
#<alt (* -1 (* t (+ (* -1 (/ x (- z 1))) (* -1 (/ (* x y) (* t z))))))>
#<alt (/ (* t x) (- z 1))>
#<alt (+ (/ (* t x) (- z 1)) (/ (* x y) z))>
#<alt (+ (/ (* t x) (- z 1)) (/ (* x y) z))>
#<alt (+ (/ (* t x) (- z 1)) (/ (* x y) z))>
#<alt (/ (* x y) z)>
#<alt (* y (+ (/ x z) (/ (* t x) (* y (- z 1)))))>
#<alt (* y (+ (/ x z) (/ (* t x) (* y (- z 1)))))>
#<alt (* y (+ (/ x z) (/ (* t x) (* y (- z 1)))))>
#<alt (/ (* x y) z)>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y (- z 1)))))))>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y (- z 1)))))))>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y (- z 1)))))))>
#<alt (/ (* x y) z)>
#<alt (/ (+ (* -1 (* t (* x z))) (* x y)) z)>
#<alt (/ (+ (* x y) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))) z)>
#<alt (/ (+ (* x y) (* z (+ (* -1 (* t x)) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))))) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (+ (* x (+ t y)) (/ (* t x) z)) z)>
#<alt (/ (+ (* x (+ t y)) (+ (/ (* t x) z) (/ (* t x) (pow z 2)))) z)>
#<alt (/ (+ (* x (+ t y)) (+ (/ (* t x) z) (+ (/ (* t x) (pow z 2)) (/ (* t x) (pow z 3))))) z)>
#<alt (* -1 (/ (* x (+ (* -1 t) (* -1 y))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (* t x) z)) (* x (+ (* -1 t) (* -1 y)))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* t x) (/ (* t x) z)) z)) (* x (+ (* -1 t) (* -1 y)))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (* t x) z))) z)) (* t x)) z)) (* x (+ (* -1 t) (* -1 y)))) z))>
Calls

105 calls:

TimeVariablePointExpression
1.0ms
y
@inf
(/ y (* z t))
0.0ms
y
@0
(/ y (* z t))
0.0ms
z
@0
(/ y (* z t))
0.0ms
y
@-inf
(/ y (* z t))
0.0ms
t
@inf
(/ y (* z t))

rewrite425.0ms (4.1%)

Memory
4.5MiB live, 701.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 052×/-lowering-/.f32
5 052×/-lowering-/.f64
4 226×accelerator-lowering-fma.f32
4 226×accelerator-lowering-fma.f64
4 196×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02486
114586
2121186
0821684
Stop Event
1×iter limit
1×node limit
Counts
15 → 1 017
Calls
Call 1
Inputs
(+ (* t (/ y (* z t))) (/ t (+ z -1)))
(/ y (* z t))
(/ t (+ z -1))
(+ z -1)
(- 0 (* t x))
(* t x)
(/ x z)
(* y (/ x z))
(+ t y)
(* (+ t y) (/ x z))
(* (/ 1 (+ -1 z)) t)
(/ 1 (+ -1 z))
(+ -1 z)
(* x (* (/ 1 (+ -1 z)) t))
(* x (+ (* t (/ y (* z t))) (/ t (+ z -1))))
Outputs
(+.f64 (*.f64 t (/.f64 y (*.f64 t z))) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(+.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (*.f64 t (/.f64 y (*.f64 t z))))
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 y y)) (*.f64 (*.f64 t z) (*.f64 t z))) (fma.f64 t (/.f64 y (*.f64 t z)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (neg.f64 (/.f64 (/.f64 (*.f64 t t) (*.f64 (+.f64 z #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64)))) (fma.f64 t (/.f64 y (*.f64 t z)) (/.f64 t (-.f64 #s(literal 1 binary64) z))))))
(-.f64 (*.f64 t (/.f64 y (*.f64 t z))) (/.f64 t (-.f64 #s(literal 1 binary64) z)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 y y)) (*.f64 (*.f64 t z) (*.f64 t z))) (fma.f64 t (/.f64 y (*.f64 t z)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (/.f64 (/.f64 (*.f64 t t) (*.f64 (+.f64 z #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64)))) (fma.f64 t (/.f64 y (*.f64 t z)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))))
(-.f64 (/.f64 (/.f64 (*.f64 t t) (*.f64 (+.f64 z #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64)))) (-.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (*.f64 t (/.f64 y (*.f64 t z))))) (/.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 y y)) (*.f64 (*.f64 t z) (*.f64 t z))) (-.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (*.f64 t (/.f64 y (*.f64 t z))))))
(fma.f64 t (/.f64 y (*.f64 t z)) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(fma.f64 t (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 t (/.f64 y (*.f64 t z))))
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 t z)) t) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(fma.f64 (/.f64 y (*.f64 t z)) t (/.f64 t (+.f64 z #s(literal -1 binary64))))
(fma.f64 (/.f64 y (*.f64 t z)) (/.f64 t #s(literal 1 binary64)) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 z #s(literal -1 binary64)) t))) (*.f64 t (/.f64 y (*.f64 t z))))
(fma.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) #s(literal 1 binary64) (*.f64 t (/.f64 y (*.f64 t z))))
(fma.f64 #s(literal 1 binary64) (*.f64 t (/.f64 y (*.f64 t z))) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 t (+.f64 z #s(literal -1 binary64))) (*.f64 t (/.f64 y (*.f64 t z))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) t (*.f64 t (/.f64 y (*.f64 t z))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (/.f64 #s(literal 1 binary64) t) #s(literal -1 binary64)) (*.f64 t (/.f64 y (*.f64 t z))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 t #s(literal 1 binary64)) (*.f64 t (/.f64 y (*.f64 t z))))
(fma.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 #s(literal -1 binary64) (+.f64 z #s(literal -1 binary64))) (*.f64 t (/.f64 y (*.f64 t z))))
(fma.f64 (*.f64 t y) (/.f64 #s(literal 1 binary64) (*.f64 t z)) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 y y)) (*.f64 (*.f64 t z) (*.f64 t z))) (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 y (*.f64 t z)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (neg.f64 (/.f64 (/.f64 (*.f64 t t) (*.f64 (+.f64 z #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64)))) (fma.f64 t (/.f64 y (*.f64 t z)) (/.f64 t (-.f64 #s(literal 1 binary64) z))))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 t z)) (/.f64 t (/.f64 #s(literal 1 binary64) y)) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 t (/.f64 t y)) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(fma.f64 (/.f64 y z) (/.f64 t t) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) t)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (*.f64 t (/.f64 y (*.f64 t z))))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 t y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 t z))) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(fma.f64 (/.f64 t t) (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(fma.f64 (/.f64 t t) (/.f64 (*.f64 (/.f64 y (*.f64 t z)) (*.f64 t (/.f64 y (*.f64 t z)))) (-.f64 (/.f64 y (*.f64 t z)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)))) (neg.f64 (/.f64 (/.f64 (*.f64 t t) (*.f64 (+.f64 z #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64)))) (fma.f64 t (/.f64 y (*.f64 t z)) (/.f64 t (-.f64 #s(literal 1 binary64) z))))))
(fma.f64 (/.f64 t t) (/.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(fma.f64 (/.f64 t z) (/.f64 y t) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(fma.f64 (/.f64 y t) (/.f64 t z) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) t) (*.f64 t (/.f64 y z)) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(fma.f64 (*.f64 t #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 z #s(literal -1 binary64))) (*.f64 t (/.f64 y (*.f64 t z))))
(fma.f64 (*.f64 t (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 t z))) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(fma.f64 (*.f64 t (/.f64 y z)) (/.f64 #s(literal 1 binary64) t) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) t) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 t z))) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(fma.f64 (*.f64 (/.f64 y z) t) (/.f64 #s(literal 1 binary64) t) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 t y) t) (/.f64 #s(literal 1 binary64) z) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 t y) z) (/.f64 #s(literal 1 binary64) t) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z z) #s(literal -1 binary64))) (/.f64 t (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) z)))) (*.f64 t (/.f64 y (*.f64 t z))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z z) #s(literal -1 binary64))) (/.f64 t (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 t (/.f64 y (*.f64 t z))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal -1 binary64))) (/.f64 t (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64)))) (*.f64 t (/.f64 y (*.f64 t z))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 t (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) z))) (*.f64 t (/.f64 y (*.f64 t z))))
(fma.f64 (/.f64 t (fma.f64 z (*.f64 z z) #s(literal -1 binary64))) (-.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) z)) (*.f64 t (/.f64 y (*.f64 t z))))
(fma.f64 (/.f64 t (fma.f64 z (*.f64 z z) #s(literal -1 binary64))) (fma.f64 z (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 t (/.f64 y (*.f64 t z))))
(fma.f64 (/.f64 t (fma.f64 z (*.f64 z z) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) z)))) (*.f64 t (/.f64 y (*.f64 t z))))
(fma.f64 (/.f64 t (fma.f64 z (*.f64 z z) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 t (/.f64 y (*.f64 t z))))
(fma.f64 (/.f64 t (fma.f64 z z #s(literal -1 binary64))) (+.f64 z #s(literal 1 binary64)) (*.f64 t (/.f64 y (*.f64 t z))))
(fma.f64 (/.f64 t (fma.f64 z z #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64)))) (*.f64 t (/.f64 y (*.f64 t z))))
(fma.f64 (/.f64 t (-.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 #s(literal -1 binary64) z) (*.f64 t (/.f64 y (*.f64 t z))))
(fma.f64 (/.f64 t (-.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) z))) (*.f64 t (/.f64 y (*.f64 t z))))
(fma.f64 (/.f64 t #s(literal 1 binary64)) (/.f64 y (*.f64 t z)) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 t t) t) (/.f64 (*.f64 (/.f64 y (*.f64 t z)) (/.f64 y (*.f64 t z))) (-.f64 (/.f64 y (*.f64 t z)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)))) (neg.f64 (/.f64 (/.f64 (*.f64 t t) (*.f64 (+.f64 z #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64)))) (fma.f64 t (/.f64 y (*.f64 t z)) (/.f64 t (-.f64 #s(literal 1 binary64) z))))))
(fma.f64 (/.f64 t #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 z #s(literal -1 binary64))) (*.f64 t (/.f64 y (*.f64 t z))))
(fma.f64 (/.f64 t #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 t z)) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(fma.f64 (/.f64 (/.f64 y (*.f64 t z)) t) (/.f64 (*.f64 t (*.f64 t (/.f64 y (*.f64 t z)))) (-.f64 (/.f64 y (*.f64 t z)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)))) (neg.f64 (/.f64 (/.f64 (*.f64 t t) (*.f64 (+.f64 z #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64)))) (fma.f64 t (/.f64 y (*.f64 t z)) (/.f64 t (-.f64 #s(literal 1 binary64) z))))))
(fma.f64 (/.f64 (*.f64 t (/.f64 y (*.f64 t z))) t) (/.f64 (*.f64 t (/.f64 y (*.f64 t z))) (-.f64 (/.f64 y (*.f64 t z)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)))) (neg.f64 (/.f64 (/.f64 (*.f64 t t) (*.f64 (+.f64 z #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64)))) (fma.f64 t (/.f64 y (*.f64 t z)) (/.f64 t (-.f64 #s(literal 1 binary64) z))))))
(fma.f64 (/.f64 (*.f64 (/.f64 y (*.f64 t z)) (/.f64 y (*.f64 t z))) t) (/.f64 (*.f64 t t) (-.f64 (/.f64 y (*.f64 t z)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)))) (neg.f64 (/.f64 (/.f64 (*.f64 t t) (*.f64 (+.f64 z #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64)))) (fma.f64 t (/.f64 y (*.f64 t z)) (/.f64 t (-.f64 #s(literal 1 binary64) z))))))
(fma.f64 (/.f64 (*.f64 (*.f64 t (/.f64 y (*.f64 t z))) t) t) (/.f64 (/.f64 y (*.f64 t z)) (-.f64 (/.f64 y (*.f64 t z)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)))) (neg.f64 (/.f64 (/.f64 (*.f64 t t) (*.f64 (+.f64 z #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64)))) (fma.f64 t (/.f64 y (*.f64 t z)) (/.f64 t (-.f64 #s(literal 1 binary64) z))))))
(fma.f64 (/.f64 (*.f64 (*.f64 t (/.f64 y (*.f64 t z))) (/.f64 y (*.f64 t z))) t) (/.f64 t (-.f64 (/.f64 y (*.f64 t z)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)))) (neg.f64 (/.f64 (/.f64 (*.f64 t t) (*.f64 (+.f64 z #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64)))) (fma.f64 t (/.f64 y (*.f64 t z)) (/.f64 t (-.f64 #s(literal 1 binary64) z))))))
(fma.f64 (/.f64 t (*.f64 t z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(fma.f64 (/.f64 t (-.f64 #s(literal 0 binary64) t)) (/.f64 (-.f64 #s(literal 0 binary64) y) z) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) z) (/.f64 t (-.f64 #s(literal 0 binary64) t)) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(fma.f64 (/.f64 t (-.f64 #s(literal 0 binary64) z)) (/.f64 (-.f64 #s(literal 0 binary64) y) t) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) t) (/.f64 t (-.f64 #s(literal 0 binary64) z)) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(fma.f64 (/.f64 (/.f64 y z) #s(literal 1 binary64)) (/.f64 t t) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) (/.f64 t (*.f64 t z)) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 y (*.f64 t z)) (/.f64 t (+.f64 z #s(literal -1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 y (*.f64 t z)) (/.f64 t (+.f64 z #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 t (/.f64 y (*.f64 t z)) (/.f64 t (+.f64 z #s(literal -1 binary64))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 t t) (*.f64 (+.f64 z #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64)))) (/.f64 (-.f64 (*.f64 (*.f64 t (/.f64 y (*.f64 t z))) (*.f64 t y)) (*.f64 (*.f64 t y) (/.f64 t (+.f64 z #s(literal -1 binary64))))) (*.f64 t z))) (fma.f64 (*.f64 t (*.f64 t t)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 t z) (*.f64 (*.f64 t z) (*.f64 t z)))) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 (+.f64 z #s(literal -1 binary64)) (*.f64 (+.f64 z #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 t z) (+.f64 z #s(literal -1 binary64))) (fma.f64 (*.f64 t y) (+.f64 z #s(literal -1 binary64)) (*.f64 (*.f64 t z) t))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 t z) (/.f64 (+.f64 z #s(literal -1 binary64)) t)) (fma.f64 (*.f64 t y) (/.f64 (+.f64 z #s(literal -1 binary64)) t) (*.f64 (*.f64 t z) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 t z) (-.f64 #s(literal 1 binary64) z)) (fma.f64 (*.f64 t y) (-.f64 #s(literal 1 binary64) z) (*.f64 (*.f64 t z) (-.f64 #s(literal 0 binary64) t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 z #s(literal -1 binary64)) (*.f64 t z)) (fma.f64 t (*.f64 t z) (*.f64 (+.f64 z #s(literal -1 binary64)) (*.f64 t y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (+.f64 z #s(literal -1 binary64)) t) (*.f64 t z)) (fma.f64 #s(literal 1 binary64) (*.f64 t z) (*.f64 (/.f64 (+.f64 z #s(literal -1 binary64)) t) (*.f64 t y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 t z)) (fma.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 t z) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 t y)))))
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(*.f64 (fma.f64 t (/.f64 y (*.f64 t z)) (/.f64 t (+.f64 z #s(literal -1 binary64)))) x)
(*.f64 x (fma.f64 t (/.f64 y (*.f64 t z)) (/.f64 t (+.f64 z #s(literal -1 binary64)))))
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 t (*.f64 t t)) (*.f64 y (*.f64 y y))) (*.f64 (*.f64 t z) (*.f64 (*.f64 t z) (*.f64 t z)))) (*.f64 x (*.f64 x x)) (/.f64 (*.f64 (fma.f64 t x #s(literal 0 binary64)) (fma.f64 t (*.f64 x (fma.f64 t x #s(literal 0 binary64))) #s(literal 0 binary64))) (*.f64 (+.f64 z #s(literal -1 binary64)) (*.f64 (+.f64 z #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 t (/.f64 y (*.f64 t z))) x) (*.f64 (*.f64 t (/.f64 y (*.f64 t z))) x) (-.f64 (*.f64 (/.f64 (fma.f64 t x #s(literal 0 binary64)) (+.f64 z #s(literal -1 binary64))) (/.f64 (fma.f64 t x #s(literal 0 binary64)) (+.f64 z #s(literal -1 binary64)))) (*.f64 (*.f64 (*.f64 t (/.f64 y (*.f64 t z))) x) (/.f64 (fma.f64 t x #s(literal 0 binary64)) (+.f64 z #s(literal -1 binary64))))))))
(*.f64 (-.f64 (*.f64 (*.f64 (*.f64 t (/.f64 y (*.f64 t z))) x) (*.f64 (*.f64 t (/.f64 y (*.f64 t z))) x)) (*.f64 (/.f64 (fma.f64 t x #s(literal 0 binary64)) (+.f64 z #s(literal -1 binary64))) (/.f64 (fma.f64 t x #s(literal 0 binary64)) (+.f64 z #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 t (/.f64 y (*.f64 t z))) x) (/.f64 (fma.f64 t x #s(literal 0 binary64)) (+.f64 z #s(literal -1 binary64))))))
(*.f64 (*.f64 x (fma.f64 (*.f64 t (*.f64 t t)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 t z) (*.f64 (*.f64 t z) (*.f64 t z)))) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 (+.f64 z #s(literal -1 binary64)) (*.f64 (+.f64 z #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (-.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (*.f64 t (/.f64 y (*.f64 t z)))) (/.f64 (*.f64 (*.f64 t t) (*.f64 y y)) (*.f64 (*.f64 t z) (*.f64 t z))))))
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(*.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 t t) (*.f64 y y)) (*.f64 (*.f64 t z) (*.f64 t z))) (/.f64 (*.f64 t t) (*.f64 (+.f64 z #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64))))) t) (/.f64 x (-.f64 (/.f64 y (*.f64 t z)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)))))

simplify705.0ms (6.8%)

Memory
-5.4MiB live, 627.7MiB allocated
Algorithm
1×egg-herbie
Rules
15 448×accelerator-lowering-fma.f32
15 448×accelerator-lowering-fma.f64
3 650×*-lowering-*.f32
3 650×*-lowering-*.f64
2 338×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02572942
17912886
223142613
368042611
081722584
Stop Event
1×iter limit
1×node limit
Counts
420 → 420
Calls
Call 1
Inputs
(/ y z)
(+ (/ t (- z 1)) (/ y z))
(+ (/ t (- z 1)) (/ y z))
(+ (/ t (- z 1)) (/ y z))
(/ t (- z 1))
(* t (+ (/ 1 (- z 1)) (/ y (* t z))))
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(/ (+ t y) z)
(/ (+ t (+ y (/ t z))) z)
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(/ t (- z 1))
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(/ t (- z 1))
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(/ t (- z 1))
(/ t (- z 1))
(/ t (- z 1))
(* -1 t)
(+ (* -1 t) (* -1 (* t z)))
(+ (* -1 t) (* z (- (* -1 (* t z)) t)))
(+ (* -1 t) (* z (- (* z (- (* -1 (* t z)) t)) t)))
(/ t z)
(/ (+ t (/ t z)) z)
(/ (- (+ t (/ t (pow z 2))) (* -1 (/ t z))) z)
(/ (- (+ t (/ t (pow z 3))) (+ (* -1 (/ t z)) (* -1 (/ t (pow z 2))))) z)
(/ t z)
(* -1 (/ (+ (* -1 t) (* -1 (/ t z))) z))
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ t (/ t z)) z))) z))
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ t (* -1 (/ (+ (* -1 t) (* -1 (/ t z))) z))) z))) z))
-1
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(- z 1)
(- z 1)
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(* z (- 1 (/ 1 z)))
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(* z (- 1 (/ 1 z)))
z
(* -1 (* z (- (/ 1 z) 1)))
(* -1 (* z (- (/ 1 z) 1)))
(* -1 (* z (- (/ 1 z) 1)))
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(* -1 (* t x))
(* -1 (* t x))
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(* -1 (* t x))
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(/ 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) 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 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 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)
y
(+ t y)
(+ t y)
(+ t y)
t
(* t (+ 1 (/ y t)))
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t
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(* -1 (* t (- (* -1 (/ y t)) 1)))
t
(+ t y)
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y
(* y (+ 1 (/ t y)))
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y
(* -1 (* y (- (* -1 (/ t y)) 1)))
(* -1 (* y (- (* -1 (/ t y)) 1)))
(* -1 (* y (- (* -1 (/ t y)) 1)))
(/ (* x y) z)
(+ (/ (* t x) z) (/ (* x y) z))
(+ (/ (* t x) z) (/ (* x y) z))
(+ (/ (* t x) z) (/ (* x y) z))
(/ (* t x) z)
(* t (+ (/ x z) (/ (* x y) (* t z))))
(* t (+ (/ x z) (/ (* x y) (* t z))))
(* t (+ (/ x z) (/ (* x y) (* t z))))
(/ (* t x) z)
(* -1 (* t (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t z))))))
(* -1 (* t (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t z))))))
(* -1 (* t (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t z))))))
(/ (* t x) z)
(+ (/ (* t x) z) (/ (* x y) z))
(+ (/ (* t x) z) (/ (* x y) z))
(+ (/ (* t x) z) (/ (* x y) z))
(/ (* x y) z)
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(* y (+ (/ x z) (/ (* t x) (* y z))))
(* y (+ (/ x z) (/ (* t x) (* y z))))
(/ (* x y) z)
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(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y z))))))
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
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(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
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(/ (* x (+ t y)) z)
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(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
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(+ (* -1 t) (* -1 (* t z)))
(+ (* -1 t) (* z (- (* -1 (* t z)) t)))
(+ (* -1 t) (* z (- (* z (- (* -1 (* t z)) t)) t)))
(/ t z)
(/ (+ t (/ t z)) z)
(/ (- (+ t (/ t (pow z 2))) (* -1 (/ t z))) z)
(/ (- (+ t (/ t (pow z 3))) (+ (* -1 (/ t z)) (* -1 (/ t (pow z 2))))) z)
(/ t z)
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(* -1 (/ (+ (* -1 t) (* -1 (/ (+ t (/ t z)) z))) z))
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(/ t (- z 1))
(/ t (- z 1))
(/ t (- z 1))
(/ t (- z 1))
(/ t (- z 1))
(/ t (- z 1))
(/ t (- z 1))
(/ t (- z 1))
(/ t (- z 1))
(/ t (- z 1))
(/ t (- z 1))
(/ t (- z 1))
-1
(- (* -1 z) 1)
(- (* z (- (* -1 z) 1)) 1)
(- (* z (- (* z (- (* -1 z) 1)) 1)) 1)
(/ 1 z)
(/ (+ 1 (/ 1 z)) z)
(/ (+ 1 (+ (/ 1 z) (/ 1 (pow z 2)))) z)
(/ (+ 1 (+ (/ 1 z) (+ (/ 1 (pow z 2)) (/ 1 (pow z 3))))) z)
(/ 1 z)
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(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 z) (/ 1 (pow z 2)))) z)) 1) z))
-1
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(- z 1)
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(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
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(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
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(+ (* -1 (* t x)) (* z (- (* -1 (* t (* x z))) (* t x))))
(+ (* -1 (* t x)) (* z (- (* z (- (* -1 (* t (* x z))) (* t x))) (* t x))))
(/ (* t x) z)
(/ (+ (* t x) (/ (* t x) z)) z)
(/ (- (+ (* t x) (/ (* t x) (pow z 2))) (* -1 (/ (* t x) z))) z)
(/ (- (+ (* t x) (/ (* t x) (pow z 3))) (+ (* -1 (/ (* t x) z)) (* -1 (/ (* t x) (pow z 2))))) z)
(/ (* t x) z)
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(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
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(* x (+ (/ t (- z 1)) (/ y z)))
(* x (+ (/ t (- z 1)) (/ y z)))
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(/ (* x y) z)
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(/ (* t x) (- z 1))
(+ (/ (* t x) (- z 1)) (/ (* x y) z))
(+ (/ (* t x) (- z 1)) (/ (* x y) z))
(+ (/ (* t x) (- z 1)) (/ (* x y) z))
(/ (* x y) z)
(* y (+ (/ x z) (/ (* t x) (* y (- z 1)))))
(* y (+ (/ x z) (/ (* t x) (* y (- z 1)))))
(* y (+ (/ x z) (/ (* t x) (* y (- z 1)))))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y (- z 1)))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y (- z 1)))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y (- z 1)))))))
(/ (* x y) z)
(/ (+ (* -1 (* t (* x z))) (* x y)) z)
(/ (+ (* x y) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))) z)
(/ (+ (* x y) (* z (+ (* -1 (* t x)) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))))) z)
(/ (* x (+ t y)) z)
(/ (+ (* x (+ t y)) (/ (* t x) z)) z)
(/ (+ (* x (+ t y)) (+ (/ (* t x) z) (/ (* t x) (pow z 2)))) z)
(/ (+ (* x (+ t y)) (+ (/ (* t x) z) (+ (/ (* t x) (pow z 2)) (/ (* t x) (pow z 3))))) z)
(* -1 (/ (* x (+ (* -1 t) (* -1 y))) z))
(* -1 (/ (+ (* -1 (/ (* t x) z)) (* x (+ (* -1 t) (* -1 y)))) z))
(* -1 (/ (+ (* -1 (/ (+ (* t x) (/ (* t x) z)) z)) (* x (+ (* -1 t) (* -1 y)))) z))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (* t x) z))) z)) (* t x)) z)) (* x (+ (* -1 t) (* -1 y)))) z))
Outputs
(/ y z)
(/.f64 y z)
(+ (/ t (- z 1)) (/ y z))
(+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(+ (/ t (- z 1)) (/ y z))
(+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(+ (/ t (- z 1)) (/ y z))
(+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(/ t (- z 1))
(/.f64 t (+.f64 z #s(literal -1 binary64)))
(* t (+ (/ 1 (- z 1)) (/ y (* t z))))
(+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(* t (+ (/ 1 (- z 1)) (/ y (* t z))))
(+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(* t (+ (/ 1 (- z 1)) (/ y (* t z))))
(+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(/ t (- z 1))
(/.f64 t (+.f64 z #s(literal -1 binary64)))
(* -1 (* t (- (* -1 (/ y (* t z))) (/ 1 (- z 1)))))
(+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(* -1 (* t (- (* -1 (/ y (* t z))) (/ 1 (- z 1)))))
(+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(* -1 (* t (- (* -1 (/ y (* t z))) (/ 1 (- z 1)))))
(+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(/ t (- z 1))
(/.f64 t (+.f64 z #s(literal -1 binary64)))
(+ (/ t (- z 1)) (/ y z))
(+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(+ (/ t (- z 1)) (/ y z))
(+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(+ (/ t (- z 1)) (/ y z))
(+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(/ y z)
(/.f64 y z)
(* y (+ (/ 1 z) (/ t (* y (- z 1)))))
(+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64))))
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(+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(* y (+ (/ 1 z) (/ t (* y (- z 1)))))
(+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(/ y z)
(/.f64 y z)
(* -1 (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z))))
(+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(* -1 (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z))))
(+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(* -1 (* y (- (* -1 (/ t (* y (- z 1)))) (/ 1 z))))
(+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(/ y z)
(/.f64 y z)
(/ (+ y (* -1 (* t z))) z)
(/.f64 (-.f64 y (*.f64 z t)) z)
(/ (+ y (* z (+ (* -1 t) (* -1 (* t z))))) z)
(/.f64 (fma.f64 (*.f64 z t) (-.f64 #s(literal -1 binary64) z) y) z)
(/ (+ y (* z (+ (* -1 t) (* z (- (* -1 (* t z)) t))))) z)
(/.f64 (fma.f64 z (neg.f64 (fma.f64 z (fma.f64 z t t) t)) y) z)
(/ (+ t y) z)
(/.f64 (+.f64 y t) z)
(/ (+ t (+ y (/ t z))) z)
(/.f64 (+.f64 y (+.f64 t (/.f64 t z))) z)
(/ (- (+ t (+ y (/ t (pow z 2)))) (* -1 (/ t z))) z)
(/.f64 (+.f64 y (+.f64 t (/.f64 (+.f64 t (/.f64 t z)) z))) z)
(/ (- (+ t (+ y (/ t (pow z 3)))) (+ (* -1 (/ t z)) (* -1 (/ t (pow z 2))))) z)
(/.f64 (+.f64 (+.f64 y t) (/.f64 (+.f64 t (/.f64 (+.f64 t (/.f64 t z)) z)) z)) z)
(* -1 (/ (+ (* -1 t) (* -1 y)) z))
(/.f64 (+.f64 y t) z)
(* -1 (/ (+ (* -1 t) (+ (* -1 y) (* -1 (/ t z)))) z))
(/.f64 (+.f64 y (+.f64 t (/.f64 t z))) z)
(* -1 (/ (+ (* -1 t) (+ (* -1 y) (* -1 (/ (+ t (/ t z)) z)))) z))
(/.f64 (+.f64 y (+.f64 t (/.f64 (+.f64 t (/.f64 t z)) z))) z)
(* -1 (/ (+ (* -1 t) (+ (* -1 y) (* -1 (/ (+ t (* -1 (/ (+ (* -1 t) (* -1 (/ t z))) z))) z)))) z))
(/.f64 (+.f64 (+.f64 y t) (/.f64 (+.f64 t (/.f64 (+.f64 t (/.f64 t z)) z)) z)) z)
(/ y (* t z))
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(/ y (* t z))
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(/ y (* t z))
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(/ y (* t z))
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(/ y (* t z))
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(/ y (* t z))
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(/ y (* t z))
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(/ y (* t z))
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(/ y (* t z))
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(/ y (* t z))
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(/ y (* t z))
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(/ y (* t z))
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(/ y (* t z))
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(/ y (* t z))
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(/ y (* t z))
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(/ y (* t z))
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(/ y (* t z))
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(/ y (* t z))
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(/ y (* t z))
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(/ y (* t z))
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(/ y (* t z))
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(/ y (* t z))
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(/ y (* t z))
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(/ y (* t z))
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(/ y (* t z))
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(/ y (* t z))
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(/ t (- z 1))
(/.f64 t (+.f64 z #s(literal -1 binary64)))
(/ t (- z 1))
(/.f64 t (+.f64 z #s(literal -1 binary64)))
(/ t (- z 1))
(/.f64 t (+.f64 z #s(literal -1 binary64)))
(/ t (- z 1))
(/.f64 t (+.f64 z #s(literal -1 binary64)))
(/ t (- z 1))
(/.f64 t (+.f64 z #s(literal -1 binary64)))
(/ t (- z 1))
(/.f64 t (+.f64 z #s(literal -1 binary64)))
(/ t (- z 1))
(/.f64 t (+.f64 z #s(literal -1 binary64)))
(/ t (- z 1))
(/.f64 t (+.f64 z #s(literal -1 binary64)))
(/ t (- z 1))
(/.f64 t (+.f64 z #s(literal -1 binary64)))
(/ t (- z 1))
(/.f64 t (+.f64 z #s(literal -1 binary64)))
(/ t (- z 1))
(/.f64 t (+.f64 z #s(literal -1 binary64)))
(/ t (- z 1))
(/.f64 t (+.f64 z #s(literal -1 binary64)))
(* -1 t)
(-.f64 #s(literal 0 binary64) t)
(+ (* -1 t) (* -1 (* t z)))
(*.f64 t (-.f64 #s(literal -1 binary64) z))
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(/.f64 (fma.f64 t x #s(literal 0 binary64)) (+.f64 z #s(literal -1 binary64)))
(/ (* t x) (- z 1))
(/.f64 (fma.f64 t x #s(literal 0 binary64)) (+.f64 z #s(literal -1 binary64)))
(* -1 (* t x))
(-.f64 #s(literal 0 binary64) (fma.f64 t x #s(literal 0 binary64)))
(+ (* -1 (* t x)) (* -1 (* t (* x z))))
(*.f64 x (*.f64 t (-.f64 #s(literal -1 binary64) z)))
(+ (* -1 (* t x)) (* z (- (* -1 (* t (* x z))) (* t x))))
(neg.f64 (fma.f64 z (*.f64 t (fma.f64 z x x)) (fma.f64 t x #s(literal 0 binary64))))
(+ (* -1 (* t x)) (* z (- (* z (- (* -1 (* t (* x z))) (* t x))) (* t x))))
(*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x (*.f64 t (-.f64 #s(literal -1 binary64) z))))
(/ (* t x) z)
(/.f64 (fma.f64 t x #s(literal 0 binary64)) z)
(/ (+ (* t x) (/ (* t x) z)) z)
(*.f64 t (/.f64 (+.f64 x (/.f64 x z)) z))
(/ (- (+ (* t x) (/ (* t x) (pow z 2))) (* -1 (/ (* t x) z))) z)
(/.f64 (fma.f64 t x (*.f64 t (/.f64 (+.f64 x (/.f64 x z)) z))) z)
(/ (- (+ (* t x) (/ (* t x) (pow z 3))) (+ (* -1 (/ (* t x) z)) (* -1 (/ (* t x) (pow z 2))))) z)
(/.f64 (fma.f64 t x (/.f64 (fma.f64 t x (*.f64 t (/.f64 (+.f64 x (/.f64 x z)) z))) z)) z)
(/ (* t x) z)
(/.f64 (fma.f64 t x #s(literal 0 binary64)) z)
(* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (* t x) z))) z))
(*.f64 t (/.f64 (+.f64 x (/.f64 x z)) z))
(* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (+ (* t x) (/ (* t x) z)) z))) z))
(/.f64 (fma.f64 t x (*.f64 t (/.f64 (+.f64 x (/.f64 x z)) z))) z)
(* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (* t x) z))) z)) (* t x)) z))) z))
(/.f64 (fma.f64 t x (/.f64 (fma.f64 t x (*.f64 t (/.f64 (+.f64 x (/.f64 x z)) z))) z)) z)
(/ (* t x) (- z 1))
(/.f64 (fma.f64 t x #s(literal 0 binary64)) (+.f64 z #s(literal -1 binary64)))
(/ (* t x) (- z 1))
(/.f64 (fma.f64 t x #s(literal 0 binary64)) (+.f64 z #s(literal -1 binary64)))
(/ (* t x) (- z 1))
(/.f64 (fma.f64 t x #s(literal 0 binary64)) (+.f64 z #s(literal -1 binary64)))
(/ (* t x) (- z 1))
(/.f64 (fma.f64 t x #s(literal 0 binary64)) (+.f64 z #s(literal -1 binary64)))
(/ (* t x) (- z 1))
(/.f64 (fma.f64 t x #s(literal 0 binary64)) (+.f64 z #s(literal -1 binary64)))
(/ (* t x) (- z 1))
(/.f64 (fma.f64 t x #s(literal 0 binary64)) (+.f64 z #s(literal -1 binary64)))
(/ (* t x) (- z 1))
(/.f64 (fma.f64 t x #s(literal 0 binary64)) (+.f64 z #s(literal -1 binary64)))
(/ (* t x) (- z 1))
(/.f64 (fma.f64 t x #s(literal 0 binary64)) (+.f64 z #s(literal -1 binary64)))
(/ (* t x) (- z 1))
(/.f64 (fma.f64 t x #s(literal 0 binary64)) (+.f64 z #s(literal -1 binary64)))
(/ (* t x) (- z 1))
(/.f64 (fma.f64 t x #s(literal 0 binary64)) (+.f64 z #s(literal -1 binary64)))
(/ (* t x) (- z 1))
(/.f64 (fma.f64 t x #s(literal 0 binary64)) (+.f64 z #s(literal -1 binary64)))
(/ (* t x) (- z 1))
(/.f64 (fma.f64 t x #s(literal 0 binary64)) (+.f64 z #s(literal -1 binary64)))
(* x (+ (/ t (- z 1)) (/ y z)))
(*.f64 x (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))))
(* x (+ (/ t (- z 1)) (/ y z)))
(*.f64 x (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))))
(* x (+ (/ t (- z 1)) (/ y z)))
(*.f64 x (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))))
(* x (+ (/ t (- z 1)) (/ y z)))
(*.f64 x (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))))
(* x (+ (/ t (- z 1)) (/ y z)))
(*.f64 x (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))))
(* x (+ (/ t (- z 1)) (/ y z)))
(*.f64 x (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))))
(* x (+ (/ t (- z 1)) (/ y z)))
(*.f64 x (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))))
(* x (+ (/ t (- z 1)) (/ y z)))
(*.f64 x (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))))
(* x (+ (/ t (- z 1)) (/ y z)))
(*.f64 x (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))))
(* x (+ (/ t (- z 1)) (/ y z)))
(*.f64 x (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))))
(* x (+ (/ t (- z 1)) (/ y z)))
(*.f64 x (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))))
(* x (+ (/ t (- z 1)) (/ y z)))
(*.f64 x (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))))
(/ (* x y) z)
(fma.f64 y (/.f64 x z) #s(literal 0 binary64))
(+ (/ (* t x) (- z 1)) (/ (* x y) z))
(*.f64 x (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))))
(+ (/ (* t x) (- z 1)) (/ (* x y) z))
(*.f64 x (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))))
(+ (/ (* t x) (- z 1)) (/ (* x y) z))
(*.f64 x (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))))
(/ (* t x) (- z 1))
(/.f64 (fma.f64 t x #s(literal 0 binary64)) (+.f64 z #s(literal -1 binary64)))
(* t (+ (/ x (- z 1)) (/ (* x y) (* t z))))
(*.f64 x (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))))
(* t (+ (/ x (- z 1)) (/ (* x y) (* t z))))
(*.f64 x (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))))
(* t (+ (/ x (- z 1)) (/ (* x y) (* t z))))
(*.f64 x (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))))
(/ (* t x) (- z 1))
(/.f64 (fma.f64 t x #s(literal 0 binary64)) (+.f64 z #s(literal -1 binary64)))
(* -1 (* t (+ (* -1 (/ x (- z 1))) (* -1 (/ (* x y) (* t z))))))
(*.f64 x (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))))
(* -1 (* t (+ (* -1 (/ x (- z 1))) (* -1 (/ (* x y) (* t z))))))
(*.f64 x (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))))
(* -1 (* t (+ (* -1 (/ x (- z 1))) (* -1 (/ (* x y) (* t z))))))
(*.f64 x (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))))
(/ (* t x) (- z 1))
(/.f64 (fma.f64 t x #s(literal 0 binary64)) (+.f64 z #s(literal -1 binary64)))
(+ (/ (* t x) (- z 1)) (/ (* x y) z))
(*.f64 x (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))))
(+ (/ (* t x) (- z 1)) (/ (* x y) z))
(*.f64 x (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))))
(+ (/ (* t x) (- z 1)) (/ (* x y) z))
(*.f64 x (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))))
(/ (* x y) z)
(fma.f64 y (/.f64 x z) #s(literal 0 binary64))
(* y (+ (/ x z) (/ (* t x) (* y (- z 1)))))
(*.f64 x (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))))
(* y (+ (/ x z) (/ (* t x) (* y (- z 1)))))
(*.f64 x (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))))
(* y (+ (/ x z) (/ (* t x) (* y (- z 1)))))
(*.f64 x (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))))
(/ (* x y) z)
(fma.f64 y (/.f64 x z) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y (- z 1)))))))
(*.f64 x (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y (- z 1)))))))
(*.f64 x (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y (- z 1)))))))
(*.f64 x (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))))
(/ (* x y) z)
(fma.f64 y (/.f64 x z) #s(literal 0 binary64))
(/ (+ (* -1 (* t (* x z))) (* x y)) z)
(/.f64 (*.f64 x (-.f64 y (*.f64 z t))) z)
(/ (+ (* x y) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))) z)
(/.f64 (fma.f64 y x (fma.f64 (*.f64 z (fma.f64 t x #s(literal 0 binary64))) (-.f64 #s(literal -1 binary64) z) #s(literal 0 binary64))) z)
(/ (+ (* x y) (* z (+ (* -1 (* t x)) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))))) z)
(/.f64 (fma.f64 z (neg.f64 (fma.f64 z (*.f64 t (fma.f64 z x x)) (fma.f64 t x #s(literal 0 binary64)))) (fma.f64 y x #s(literal 0 binary64))) z)
(/ (* x (+ t y)) z)
(*.f64 (/.f64 (+.f64 y t) z) x)
(/ (+ (* x (+ t y)) (/ (* t x) z)) z)
(/.f64 (*.f64 x (+.f64 y (+.f64 t (/.f64 t z)))) z)
(/ (+ (* x (+ t y)) (+ (/ (* t x) z) (/ (* t x) (pow z 2)))) z)
(/.f64 (fma.f64 t (/.f64 (+.f64 x (/.f64 x z)) z) (fma.f64 (+.f64 y t) x #s(literal 0 binary64))) z)
(/ (+ (* x (+ t y)) (+ (/ (* t x) z) (+ (/ (* t x) (pow z 2)) (/ (* t x) (pow z 3))))) z)
(/.f64 (fma.f64 (+.f64 y t) x (/.f64 (fma.f64 t x (*.f64 t (/.f64 (+.f64 x (/.f64 x z)) z))) z)) z)
(* -1 (/ (* x (+ (* -1 t) (* -1 y))) z))
(*.f64 (/.f64 (+.f64 y t) z) x)
(* -1 (/ (+ (* -1 (/ (* t x) z)) (* x (+ (* -1 t) (* -1 y)))) z))
(/.f64 (*.f64 x (+.f64 y (+.f64 t (/.f64 t z)))) z)
(* -1 (/ (+ (* -1 (/ (+ (* t x) (/ (* t x) z)) z)) (* x (+ (* -1 t) (* -1 y)))) z))
(/.f64 (fma.f64 t (/.f64 (+.f64 x (/.f64 x z)) z) (fma.f64 (+.f64 y t) x #s(literal 0 binary64))) z)
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (* t x) z))) z)) (* t x)) z)) (* x (+ (* -1 t) (* -1 y)))) z))
(/.f64 (fma.f64 (+.f64 y t) x (/.f64 (fma.f64 t x (*.f64 t (/.f64 (+.f64 x (/.f64 x z)) z))) z)) z)

eval793.0ms (7.6%)

Memory
36.1MiB live, 416.8MiB allocated
Compiler

Compiled 26 875 to 3 065 computations (88.6% saved)

prune190.0ms (1.8%)

Memory
-30.1MiB live, 499.0MiB allocated
Pruning

18 alts after pruning (14 fresh and 4 done)

PrunedKeptTotal
New1 48171 488
Fresh4711
Picked325
Done123
Total1 489181 507
Accuracy
100.0%
Counts
1 507 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶75.3%
(/.f64 (*.f64 (+.f64 y t) x) z)
60.2%
(/.f64 (*.f64 y x) z)
63.4%
(/.f64 (*.f64 x (-.f64 y (*.f64 z t))) z)
36.4%
(/.f64 (*.f64 t x) z)
48.3%
(/.f64 x (/.f64 (+.f64 z #s(literal -1 binary64)) t))
▶62.0%
(/.f64 x (/.f64 z y))
✓21.8%
(-.f64 #s(literal 0 binary64) (*.f64 t x))
46.1%
(*.f64 (/.f64 x (+.f64 z #s(literal -1 binary64))) t)
17.8%
(*.f64 (-.f64 #s(literal 0 binary64) t) (fma.f64 z x x))
✓59.3%
(*.f64 y (/.f64 x z))
53.3%
(*.f64 x (fma.f64 t (/.f64 y (*.f64 z t)) (-.f64 #s(literal 0 binary64) t)))
✓62.0%
(*.f64 x (/.f64 y z))
▶37.1%
(*.f64 x (/.f64 t z))
✓96.5%
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
▶64.7%
(*.f64 x (-.f64 (/.f64 y z) t))
37.1%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) t))
▶17.8%
(*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) z) t))
37.2%
(*.f64 t (/.f64 x z))
Compiler

Compiled 346 to 233 computations (32.7% saved)

simplify344.0ms (3.3%)

Memory
1.6MiB live, 119.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 z y)
✓cost-diff320
(/.f64 x (/.f64 z y))
✓cost-diff-64
(*.f64 x (-.f64 (/.f64 y z) t))
✓cost-diff0
(/.f64 y z)
✓cost-diff0
(-.f64 (/.f64 y z) t)
✓cost-diff-64
(*.f64 x (/.f64 t z))
✓cost-diff0
(/.f64 t z)
✓cost-diff-64
(*.f64 (-.f64 #s(literal -1 binary64) z) t)
✓cost-diff-64
(*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) z) t))
✓cost-diff0
(-.f64 #s(literal -1 binary64) z)
✓cost-diff-64
(*.f64 (+.f64 y t) x)
✓cost-diff0
(+.f64 y t)
✓cost-diff0
(/.f64 (*.f64 (+.f64 y t) x) z)
Rules
1 520×accelerator-lowering-fma.f32
1 520×accelerator-lowering-fma.f64
1 034×times-frac
880×*-lowering-*.f32
880×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01879
13579
28079
316279
429179
551279
6111879
7203779
8319179
9391979
10393279
11394079
12394479
13394479
14398479
15400079
16400079
0400079
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/ (* (+ y t) x) z)
(* (+ y t) x)
(+ y t)
y
t
x
z
(* x (* (- -1 z) t))
x
(* (- -1 z) t)
(- -1 z)
-1
z
t
(* x (/ t z))
x
(/ t z)
t
z
(* x (- (/ y z) t))
x
(- (/ y z) t)
(/ y z)
y
z
t
(/ x (/ z y))
x
(/ z y)
z
y
Outputs
(/ (* (+ y t) x) z)
(fma.f64 (+.f64 y t) (/.f64 x z) #s(literal 0 binary64))
(* (+ y t) x)
(fma.f64 (+.f64 y t) x #s(literal 0 binary64))
(+ y t)
(+.f64 y t)
y
t
x
z
(* x (* (- -1 z) t))
(fma.f64 (-.f64 #s(literal -1 binary64) z) (fma.f64 t x #s(literal 0 binary64)) #s(literal 0 binary64))
x
(* (- -1 z) t)
(fma.f64 t (-.f64 #s(literal -1 binary64) z) #s(literal 0 binary64))
(- -1 z)
(-.f64 #s(literal -1 binary64) z)
-1
#s(literal -1 binary64)
z
t
(* x (/ t z))
(fma.f64 t (/.f64 x z) #s(literal 0 binary64))
x
(/ t z)
(/.f64 t z)
t
z
(* x (- (/ y z) t))
(fma.f64 x (-.f64 (/.f64 y z) t) #s(literal 0 binary64))
x
(- (/ y z) t)
(-.f64 (/.f64 y z) t)
(/ y z)
(/.f64 y z)
y
z
t
(/ x (/ z y))
(fma.f64 y (/.f64 x z) #s(literal 0 binary64))
x
(/ z y)
(/.f64 z y)
z
y

localize63.0ms (0.6%)

Memory
-2.1MiB live, 89.9MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 z y)
✓accuracy94.9%
(/.f64 x (/.f64 z y))
✓accuracy100.0%
(/.f64 y z)
✓accuracy100.0%
(-.f64 (/.f64 y z) t)
✓accuracy98.4%
(*.f64 x (-.f64 (/.f64 y z) t))
✓accuracy100.0%
(/.f64 t z)
✓accuracy95.3%
(*.f64 x (/.f64 t z))
✓accuracy100.0%
(-.f64 #s(literal -1 binary64) z)
✓accuracy100.0%
(*.f64 (-.f64 #s(literal -1 binary64) z) t)
✓accuracy97.0%
(*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) z) t))
✓accuracy100.0%
(+.f64 y t)
✓accuracy100.0%
(*.f64 (+.f64 y t) x)
✓accuracy92.8%
(/.f64 (*.f64 (+.f64 y t) x) z)
Samples
45.0ms256×0valid
Compiler

Compiled 81 to 20 computations (75.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-div: 8.0ms (40.2% of total)
ival-mult: 7.0ms (35.2% of total)
ival-sub: 2.0ms (10.1% of total)
ival-add: 1.0ms (5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory
-3.6MiB live, 33.9MiB allocated
Counts
13 → 408
Calls
Call 1
Inputs
#<alt (/ (* (+ y t) x) z)>
#<alt (+ y t)>
#<alt (* (+ y t) x)>
#<alt (- -1 z)>
#<alt (* x (* (- -1 z) t))>
#<alt (* (- -1 z) t)>
#<alt (/ t z)>
#<alt (* x (/ t z))>
#<alt (- (/ y z) t)>
#<alt (/ y z)>
#<alt (* x (- (/ y z) t))>
#<alt (/ x (/ z y))>
#<alt (/ z y)>
Outputs
#<alt (/ (* t x) z)>
#<alt (+ (/ (* t x) z) (/ (* x y) z))>
#<alt (+ (/ (* t x) z) (/ (* x y) z))>
#<alt (+ (/ (* t x) z) (/ (* x y) z))>
#<alt (/ (* x y) z)>
#<alt (* y (+ (/ x z) (/ (* t x) (* y z))))>
#<alt (* y (+ (/ x z) (/ (* t x) (* y z))))>
#<alt (* y (+ (/ x z) (/ (* t x) (* y z))))>
#<alt (/ (* x y) z)>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y z))))))>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y z))))))>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y z))))))>
#<alt (/ (* x y) z)>
#<alt (+ (/ (* t x) z) (/ (* x y) z))>
#<alt (+ (/ (* t x) z) (/ (* x y) z))>
#<alt (+ (/ (* t x) z) (/ (* x y) z))>
#<alt (/ (* t x) z)>
#<alt (* t (+ (/ x z) (/ (* x y) (* t z))))>
#<alt (* t (+ (/ x z) (/ (* x y) (* t z))))>
#<alt (* t (+ (/ x z) (/ (* x y) (* t z))))>
#<alt (/ (* t x) z)>
#<alt (* -1 (* t (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t z))))))>
#<alt (* -1 (* t (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t z))))))>
#<alt (* -1 (* t (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t z))))))>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt t>
#<alt (+ t y)>
#<alt (+ t y)>
#<alt (+ t y)>
#<alt y>
#<alt (* y (+ 1 (/ t y)))>
#<alt (* y (+ 1 (/ t y)))>
#<alt (* y (+ 1 (/ t y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ t y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ t y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ t y)) 1)))>
#<alt y>
#<alt (+ t y)>
#<alt (+ t y)>
#<alt (+ t y)>
#<alt t>
#<alt (* t (+ 1 (/ y t)))>
#<alt (* t (+ 1 (/ y t)))>
#<alt (* t (+ 1 (/ y t)))>
#<alt t>
#<alt (* -1 (* t (- (* -1 (/ y t)) 1)))>
#<alt (* -1 (* t (- (* -1 (/ y t)) 1)))>
#<alt (* -1 (* t (- (* -1 (/ y t)) 1)))>
#<alt (* t x)>
#<alt (+ (* t x) (* x y))>
#<alt (+ (* t x) (* x y))>
#<alt (+ (* t x) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ (* t x) y)))>
#<alt (* y (+ x (/ (* t x) y)))>
#<alt (* y (+ x (/ (* t x) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* t x) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* t x) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* t x) y)))))>
#<alt (* x y)>
#<alt (+ (* t x) (* x y))>
#<alt (+ (* t x) (* x y))>
#<alt (+ (* t x) (* x y))>
#<alt (* t x)>
#<alt (* t (+ x (/ (* x y) t)))>
#<alt (* t (+ x (/ (* x y) t)))>
#<alt (* t (+ x (/ (* x y) t)))>
#<alt (* t x)>
#<alt (* -1 (* t (+ (* -1 x) (* -1 (/ (* x y) t)))))>
#<alt (* -1 (* t (+ (* -1 x) (* -1 (/ (* x y) t)))))>
#<alt (* -1 (* t (+ (* -1 x) (* -1 (/ (* x y) t)))))>
#<alt (* x (+ t y))>
#<alt (* x (+ t y))>
#<alt (* x (+ t y))>
#<alt (* x (+ t y))>
#<alt (* x (+ t y))>
#<alt (* x (+ t y))>
#<alt (* x (+ t y))>
#<alt (* x (+ t y))>
#<alt (* x (+ t y))>
#<alt (* x (+ t y))>
#<alt (* x (+ t y))>
#<alt (* x (+ t y))>
#<alt -1>
#<alt (- (* -1 z) 1)>
#<alt (- (* -1 z) 1)>
#<alt (- (* -1 z) 1)>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (/ 1 z))))>
#<alt (* -1 (* z (+ 1 (/ 1 z))))>
#<alt (* -1 (* z (+ 1 (/ 1 z))))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (/ 1 z))))>
#<alt (* -1 (* z (+ 1 (/ 1 z))))>
#<alt (* -1 (* z (+ 1 (/ 1 z))))>
#<alt (* -1 (* t (* x (+ 1 z))))>
#<alt (* -1 (* t (* x (+ 1 z))))>
#<alt (* -1 (* t (* x (+ 1 z))))>
#<alt (* -1 (* t (* x (+ 1 z))))>
#<alt (* -1 (* t (* x (+ 1 z))))>
#<alt (* -1 (* t (* x (+ 1 z))))>
#<alt (* -1 (* t (* x (+ 1 z))))>
#<alt (* -1 (* t (* x (+ 1 z))))>
#<alt (* -1 (* t (* x (+ 1 z))))>
#<alt (* -1 (* t (* x (+ 1 z))))>
#<alt (* -1 (* t (* x (+ 1 z))))>
#<alt (* -1 (* t (* x (+ 1 z))))>
#<alt (* -1 (* t x))>
#<alt (+ (* -1 (* t x)) (* -1 (* t (* x z))))>
#<alt (+ (* -1 (* t x)) (* -1 (* t (* x z))))>
#<alt (+ (* -1 (* t x)) (* -1 (* t (* x z))))>
#<alt (* -1 (* t (* x z)))>
#<alt (* z (+ (* -1 (* t x)) (* -1 (/ (* t x) z))))>
#<alt (* z (+ (* -1 (* t x)) (* -1 (/ (* t x) z))))>
#<alt (* z (+ (* -1 (* t x)) (* -1 (/ (* t x) z))))>
#<alt (* -1 (* t (* x z)))>
#<alt (* -1 (* z (+ (* t x) (/ (* t x) z))))>
#<alt (* -1 (* z (+ (* t x) (/ (* t x) z))))>
#<alt (* -1 (* z (+ (* t x) (/ (* t x) z))))>
#<alt (* -1 (* t (* x (+ 1 z))))>
#<alt (* -1 (* t (* x (+ 1 z))))>
#<alt (* -1 (* t (* x (+ 1 z))))>
#<alt (* -1 (* t (* x (+ 1 z))))>
#<alt (* -1 (* t (* x (+ 1 z))))>
#<alt (* -1 (* t (* x (+ 1 z))))>
#<alt (* -1 (* t (* x (+ 1 z))))>
#<alt (* -1 (* t (* x (+ 1 z))))>
#<alt (* -1 (* t (* x (+ 1 z))))>
#<alt (* -1 (* t (* x (+ 1 z))))>
#<alt (* -1 (* t (* x (+ 1 z))))>
#<alt (* -1 (* t (* x (+ 1 z))))>
#<alt (* -1 t)>
#<alt (+ (* -1 t) (* -1 (* t z)))>
#<alt (+ (* -1 t) (* -1 (* t z)))>
#<alt (+ (* -1 t) (* -1 (* t z)))>
#<alt (* -1 (* t z))>
#<alt (* z (+ (* -1 t) (* -1 (/ t z))))>
#<alt (* z (+ (* -1 t) (* -1 (/ t z))))>
#<alt (* z (+ (* -1 t) (* -1 (/ t z))))>
#<alt (* -1 (* t z))>
#<alt (* -1 (* z (+ t (/ t z))))>
#<alt (* -1 (* z (+ t (/ t z))))>
#<alt (* -1 (* z (+ t (/ t z))))>
#<alt (* -1 (* t (+ 1 z)))>
#<alt (* -1 (* t (+ 1 z)))>
#<alt (* -1 (* t (+ 1 z)))>
#<alt (* -1 (* t (+ 1 z)))>
#<alt (* -1 (* t (+ 1 z)))>
#<alt (* -1 (* t (+ 1 z)))>
#<alt (* -1 (* t (+ 1 z)))>
#<alt (* -1 (* t (+ 1 z)))>
#<alt (* -1 (* t (+ 1 z)))>
#<alt (* -1 (* t (+ 1 z)))>
#<alt (* -1 (* t (+ 1 z)))>
#<alt (* -1 (* t (+ 1 z)))>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (* -1 t)>
#<alt (- (/ y z) t)>
#<alt (- (/ y z) t)>
#<alt (- (/ y z) t)>
#<alt (/ y z)>
#<alt (* y (+ (* -1 (/ t y)) (/ 1 z)))>
#<alt (* y (+ (* -1 (/ t y)) (/ 1 z)))>
#<alt (* y (+ (* -1 (/ t y)) (/ 1 z)))>
#<alt (/ y z)>
#<alt (* -1 (* y (- (/ t y) (/ 1 z))))>
#<alt (* -1 (* y (- (/ t y) (/ 1 z))))>
#<alt (* -1 (* y (- (/ t y) (/ 1 z))))>
#<alt (/ y z)>
#<alt (/ (+ y (* -1 (* t z))) z)>
#<alt (/ (+ y (* -1 (* t z))) z)>
#<alt (/ (+ y (* -1 (* t z))) z)>
#<alt (* -1 t)>
#<alt (- (/ y z) t)>
#<alt (- (/ y z) t)>
#<alt (- (/ y z) t)>
#<alt (* -1 t)>
#<alt (- (/ y z) t)>
#<alt (- (/ y z) t)>
#<alt (- (/ y z) t)>
#<alt (/ y z)>
#<alt (+ (* -1 t) (/ y z))>
#<alt (+ (* -1 t) (/ y z))>
#<alt (+ (* -1 t) (/ y z))>
#<alt (* -1 t)>
#<alt (* t (- (/ y (* t z)) 1))>
#<alt (* t (- (/ y (* t z)) 1))>
#<alt (* t (- (/ y (* t z)) 1))>
#<alt (* -1 t)>
#<alt (* -1 (* t (+ 1 (* -1 (/ y (* t z))))))>
#<alt (* -1 (* t (+ 1 (* -1 (/ y (* t z))))))>
#<alt (* -1 (* t (+ 1 (* -1 (/ y (* t z))))))>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (/ y z)>
#<alt (* x (- (/ y z) t))>
#<alt (* x (- (/ y z) t))>
#<alt (* x (- (/ y z) t))>
#<alt (* x (- (/ y z) t))>
#<alt (* x (- (/ y z) t))>
#<alt (* x (- (/ y z) t))>
#<alt (* x (- (/ y z) t))>
#<alt (* x (- (/ y z) t))>
#<alt (* x (- (/ y z) t))>
#<alt (* x (- (/ y z) t))>
#<alt (* x (- (/ y z) t))>
#<alt (* x (- (/ y z) t))>
#<alt (* -1 (* t x))>
#<alt (+ (* -1 (* t x)) (/ (* x y) z))>
#<alt (+ (* -1 (* t x)) (/ (* x y) z))>
#<alt (+ (* -1 (* t x)) (/ (* x y) z))>
#<alt (/ (* x y) z)>
#<alt (* y (+ (* -1 (/ (* t x) y)) (/ x z)))>
#<alt (* y (+ (* -1 (/ (* t x) y)) (/ x z)))>
#<alt (* y (+ (* -1 (/ (* t x) y)) (/ x z)))>
#<alt (/ (* x y) z)>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) y))))>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) y))))>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) y))))>
#<alt (/ (* x y) z)>
#<alt (/ (+ (* -1 (* t (* x z))) (* x y)) z)>
#<alt (/ (+ (* -1 (* t (* x z))) (* x y)) z)>
#<alt (/ (+ (* -1 (* t (* x z))) (* x y)) z)>
#<alt (* -1 (* t x))>
#<alt (+ (* -1 (* t x)) (/ (* x y) z))>
#<alt (+ (* -1 (* t x)) (/ (* x y) z))>
#<alt (+ (* -1 (* t x)) (/ (* x y) z))>
#<alt (* -1 (* t x))>
#<alt (+ (* -1 (* t x)) (/ (* x y) z))>
#<alt (+ (* -1 (* t x)) (/ (* x y) z))>
#<alt (+ (* -1 (* t x)) (/ (* x y) z))>
#<alt (/ (* x y) z)>
#<alt (+ (* -1 (* t x)) (/ (* x y) z))>
#<alt (+ (* -1 (* t x)) (/ (* x y) z))>
#<alt (+ (* -1 (* t x)) (/ (* x y) z))>
#<alt (* -1 (* t x))>
#<alt (* t (+ (* -1 x) (/ (* x y) (* t z))))>
#<alt (* t (+ (* -1 x) (/ (* x y) (* t z))))>
#<alt (* t (+ (* -1 x) (/ (* x y) (* t z))))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t (+ x (* -1 (/ (* x y) (* t z))))))>
#<alt (* -1 (* t (+ x (* -1 (/ (* x y) (* t z))))))>
#<alt (* -1 (* t (+ x (* -1 (/ (* x y) (* t 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) 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) 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) z)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
Calls

102 calls:

TimeVariablePointExpression
4.0ms
z
@inf
(/ z y)
1.0ms
x
@0
(* x (* (- -1 z) t))
1.0ms
t
@0
(* x (* (- -1 z) t))
1.0ms
x
@inf
(* x (* (- -1 z) t))
1.0ms
t
@inf
(* x (* (- -1 z) t))

rewrite335.0ms (3.2%)

Memory
30.1MiB live, 461.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 482×*-lowering-*.f32
4 482×*-lowering-*.f64
4 174×accelerator-lowering-fma.f32
4 174×accelerator-lowering-fma.f64
3 902×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01861
19561
269361
0855361
Stop Event
1×iter limit
1×node limit
Counts
13 → 814
Calls
Call 1
Inputs
(/ (* (+ y t) x) z)
(+ y t)
(* (+ y t) x)
(- -1 z)
(* x (* (- -1 z) t))
(* (- -1 z) t)
(/ t z)
(* x (/ t z))
(- (/ y z) t)
(/ y z)
(* x (- (/ y z) t))
(/ x (/ z y))
(/ z y)
Outputs
(+.f64 (/.f64 (*.f64 t x) z) (/.f64 (*.f64 y x) z))
(+.f64 (/.f64 (*.f64 y x) z) (/.f64 (*.f64 t x) z))
(exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 (+.f64 y t) x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (+.f64 y t) x) (-.f64 #s(literal 0 binary64) z)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (/.f64 (*.f64 (+.f64 y t) x) (-.f64 #s(literal 0 binary64) z)))
(fma.f64 y (/.f64 x z) (/.f64 (*.f64 t x) z))
(fma.f64 t (/.f64 x z) (/.f64 (*.f64 y x) z))
(fma.f64 x (/.f64 t z) (/.f64 (*.f64 y x) z))
(fma.f64 x (/.f64 y z) (/.f64 (*.f64 t x) z))
(fma.f64 #s(literal -1 binary64) (*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) y) z)) (/.f64 (*.f64 t x) z))
(fma.f64 (/.f64 t z) x (/.f64 (*.f64 y x) z))
(fma.f64 (/.f64 y z) x (/.f64 (*.f64 t x) z))
(fma.f64 (/.f64 y z) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 t x) z))
(fma.f64 (/.f64 (*.f64 y x) z) #s(literal 1 binary64) (/.f64 (*.f64 t x) z))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x (-.f64 #s(literal 0 binary64) z)) (/.f64 (*.f64 t x) z))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 (/.f64 #s(literal -1 binary64) z) x) (/.f64 (*.f64 t x) z))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (-.f64 #s(literal 0 binary64) y) z) (/.f64 (*.f64 t x) z))
(fma.f64 (-.f64 #s(literal 0 binary64) t) (/.f64 x (-.f64 #s(literal 0 binary64) z)) (/.f64 (*.f64 y x) z))
(fma.f64 (-.f64 #s(literal 0 binary64) t) (*.f64 (/.f64 #s(literal -1 binary64) z) x) (/.f64 (*.f64 y x) z))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 t x) z) (/.f64 (*.f64 y x) z))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) z) (/.f64 (*.f64 t x) z))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 t x) (/.f64 (*.f64 y x) z))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 y x) (/.f64 (*.f64 t x) z))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal -1 binary64)) (/.f64 (*.f64 t x) z))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 t x) z))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x (/.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 y x) z))
(fma.f64 (*.f64 t x) (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) z))
(fma.f64 (/.f64 x z) y (/.f64 (*.f64 t x) z))
(fma.f64 (/.f64 x z) t (/.f64 (*.f64 y x) z))
(fma.f64 (/.f64 x z) (/.f64 (-.f64 #s(literal 0 binary64) t) #s(literal -1 binary64)) (/.f64 (*.f64 y x) z))
(fma.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) t)) (/.f64 (*.f64 y x) z))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 x (-.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 t x) z))
(fma.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 x (/.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 t x) z))
(fma.f64 (/.f64 t (-.f64 #s(literal 0 binary64) z)) (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 y x) z))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) z) (-.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 t x) z))
(fma.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 t x) z))
(fma.f64 (*.f64 t (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 y x) z))
(fma.f64 (*.f64 x (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 t x) z))
(fma.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 t x) z))
(fma.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) t) (/.f64 (*.f64 y x) z))
(fma.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 t x) z))
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 (-.f64 #s(literal 0 binary64) y) z) (/.f64 (*.f64 t x) z))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 t (-.f64 #s(literal 0 binary64) z)) (/.f64 (*.f64 y x) z))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) y) z) (/.f64 (*.f64 t x) z))
(fma.f64 (/.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 t x) z))
(fma.f64 (/.f64 x (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 t x) z))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) t) #s(literal -1 binary64)) (/.f64 x z) (/.f64 (*.f64 y x) z))
(fma.f64 (pow.f64 (/.f64 z (*.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z (*.f64 y x)) #s(literal -1/2 binary64)) (/.f64 (*.f64 t x) z))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 t x) z))
(fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) z))) (-.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 t x) z))
(fma.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 t x) z))
(fma.f64 (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) #s(literal -1 binary64)) y (/.f64 (*.f64 t x) z))
(fma.f64 (*.f64 (*.f64 t x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 y x) z))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) y) z) (/.f64 (*.f64 t x) z))
(fma.f64 (/.f64 (/.f64 x z) #s(literal 1 binary64)) y (/.f64 (*.f64 t x) z))
(neg.f64 (/.f64 (*.f64 (+.f64 y t) x) (-.f64 #s(literal 0 binary64) z)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 y t) x) (-.f64 #s(literal 0 binary64) z))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 (+.f64 y t) x))))
(/.f64 (+.f64 y t) (/.f64 z x))
(/.f64 x (/.f64 z (+.f64 y t)))
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y t)) z))
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simplify339.0ms (3.3%)

Memory
-6.6MiB live, 440.4MiB allocated
Algorithm
1×egg-herbie
Rules
6 640×accelerator-lowering-fma.f32
6 640×accelerator-lowering-fma.f64
3 870×*-lowering-*.f32
3 870×*-lowering-*.f64
1 192×distribute-lft-out--
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01272244
14402223
212571992
337711992
462601992
082041992
Stop Event
1×iter limit
1×node limit
Counts
408 → 408
Calls
Call 1
Inputs
(/ (* t x) z)
(+ (/ (* t x) z) (/ (* x y) z))
(+ (/ (* t x) z) (/ (* x y) z))
(+ (/ (* t x) z) (/ (* x y) z))
(/ (* x y) z)
(* y (+ (/ x z) (/ (* t x) (* y z))))
(* y (+ (/ x z) (/ (* t x) (* y z))))
(* y (+ (/ x z) (/ (* t x) (* y z))))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y z))))))
(/ (* x y) z)
(+ (/ (* t x) z) (/ (* x y) z))
(+ (/ (* t x) z) (/ (* x y) z))
(+ (/ (* t x) z) (/ (* x y) z))
(/ (* t x) z)
(* t (+ (/ x z) (/ (* x y) (* t z))))
(* t (+ (/ x z) (/ (* x y) (* t z))))
(* t (+ (/ x z) (/ (* x y) (* t z))))
(/ (* t x) z)
(* -1 (* t (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t z))))))
(* -1 (* t (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t z))))))
(* -1 (* t (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t z))))))
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
t
(+ t y)
(+ t y)
(+ t y)
y
(* y (+ 1 (/ t y)))
(* y (+ 1 (/ t y)))
(* y (+ 1 (/ t y)))
y
(* -1 (* y (- (* -1 (/ t y)) 1)))
(* -1 (* y (- (* -1 (/ t y)) 1)))
(* -1 (* y (- (* -1 (/ t y)) 1)))
y
(+ t y)
(+ t y)
(+ t y)
t
(* t (+ 1 (/ y t)))
(* t (+ 1 (/ y t)))
(* t (+ 1 (/ y t)))
t
(* -1 (* t (- (* -1 (/ y t)) 1)))
(* -1 (* t (- (* -1 (/ y t)) 1)))
(* -1 (* t (- (* -1 (/ y t)) 1)))
(* t x)
(+ (* t x) (* x y))
(+ (* t x) (* x y))
(+ (* t x) (* x y))
(* x y)
(* y (+ x (/ (* t x) y)))
(* y (+ x (/ (* t x) y)))
(* y (+ x (/ (* t x) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t x) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t x) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t x) y)))))
(* x y)
(+ (* t x) (* x y))
(+ (* t x) (* x y))
(+ (* t x) (* x y))
(* t x)
(* t (+ x (/ (* x y) t)))
(* t (+ x (/ (* x y) t)))
(* t (+ x (/ (* x y) t)))
(* t x)
(* -1 (* t (+ (* -1 x) (* -1 (/ (* x y) t)))))
(* -1 (* t (+ (* -1 x) (* -1 (/ (* x y) t)))))
(* -1 (* t (+ (* -1 x) (* -1 (/ (* x y) t)))))
(* x (+ t y))
(* x (+ t y))
(* x (+ t y))
(* x (+ t y))
(* x (+ t y))
(* x (+ t y))
(* x (+ t y))
(* x (+ t y))
(* x (+ t y))
(* x (+ t y))
(* x (+ t y))
(* x (+ t y))
-1
(- (* -1 z) 1)
(- (* -1 z) 1)
(- (* -1 z) 1)
(* -1 z)
(* -1 (* z (+ 1 (/ 1 z))))
(* -1 (* z (+ 1 (/ 1 z))))
(* -1 (* z (+ 1 (/ 1 z))))
(* -1 z)
(* -1 (* z (+ 1 (/ 1 z))))
(* -1 (* z (+ 1 (/ 1 z))))
(* -1 (* z (+ 1 (/ 1 z))))
(* -1 (* t (* x (+ 1 z))))
(* -1 (* t (* x (+ 1 z))))
(* -1 (* t (* x (+ 1 z))))
(* -1 (* t (* x (+ 1 z))))
(* -1 (* t (* x (+ 1 z))))
(* -1 (* t (* x (+ 1 z))))
(* -1 (* t (* x (+ 1 z))))
(* -1 (* t (* x (+ 1 z))))
(* -1 (* t (* x (+ 1 z))))
(* -1 (* t (* x (+ 1 z))))
(* -1 (* t (* x (+ 1 z))))
(* -1 (* t (* x (+ 1 z))))
(* -1 (* t x))
(+ (* -1 (* t x)) (* -1 (* t (* x z))))
(+ (* -1 (* t x)) (* -1 (* t (* x z))))
(+ (* -1 (* t x)) (* -1 (* t (* x z))))
(* -1 (* t (* x z)))
(* z (+ (* -1 (* t x)) (* -1 (/ (* t x) z))))
(* z (+ (* -1 (* t x)) (* -1 (/ (* t x) z))))
(* z (+ (* -1 (* t x)) (* -1 (/ (* t x) z))))
(* -1 (* t (* x z)))
(* -1 (* z (+ (* t x) (/ (* t x) z))))
(* -1 (* z (+ (* t x) (/ (* t x) z))))
(* -1 (* z (+ (* t x) (/ (* t x) z))))
(* -1 (* t (* x (+ 1 z))))
(* -1 (* t (* x (+ 1 z))))
(* -1 (* t (* x (+ 1 z))))
(* -1 (* t (* x (+ 1 z))))
(* -1 (* t (* x (+ 1 z))))
(* -1 (* t (* x (+ 1 z))))
(* -1 (* t (* x (+ 1 z))))
(* -1 (* t (* x (+ 1 z))))
(* -1 (* t (* x (+ 1 z))))
(* -1 (* t (* x (+ 1 z))))
(* -1 (* t (* x (+ 1 z))))
(* -1 (* t (* x (+ 1 z))))
(* -1 t)
(+ (* -1 t) (* -1 (* t z)))
(+ (* -1 t) (* -1 (* t z)))
(+ (* -1 t) (* -1 (* t z)))
(* -1 (* t z))
(* z (+ (* -1 t) (* -1 (/ t z))))
(* z (+ (* -1 t) (* -1 (/ t z))))
(* z (+ (* -1 t) (* -1 (/ t z))))
(* -1 (* t z))
(* -1 (* z (+ t (/ t z))))
(* -1 (* z (+ t (/ t z))))
(* -1 (* z (+ t (/ t z))))
(* -1 (* t (+ 1 z)))
(* -1 (* t (+ 1 z)))
(* -1 (* t (+ 1 z)))
(* -1 (* t (+ 1 z)))
(* -1 (* t (+ 1 z)))
(* -1 (* t (+ 1 z)))
(* -1 (* t (+ 1 z)))
(* -1 (* t (+ 1 z)))
(* -1 (* t (+ 1 z)))
(* -1 (* t (+ 1 z)))
(* -1 (* t (+ 1 z)))
(* -1 (* t (+ 1 z)))
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(* -1 t)
(- (/ y z) t)
(- (/ y z) t)
(- (/ y z) t)
(/ y z)
(* y (+ (* -1 (/ t y)) (/ 1 z)))
(* y (+ (* -1 (/ t y)) (/ 1 z)))
(* y (+ (* -1 (/ t y)) (/ 1 z)))
(/ y z)
(* -1 (* y (- (/ t y) (/ 1 z))))
(* -1 (* y (- (/ t y) (/ 1 z))))
(* -1 (* y (- (/ t y) (/ 1 z))))
(/ y z)
(/ (+ y (* -1 (* t z))) z)
(/ (+ y (* -1 (* t z))) z)
(/ (+ y (* -1 (* t z))) z)
(* -1 t)
(- (/ y z) t)
(- (/ y z) t)
(- (/ y z) t)
(* -1 t)
(- (/ y z) t)
(- (/ y z) t)
(- (/ y z) t)
(/ y z)
(+ (* -1 t) (/ y z))
(+ (* -1 t) (/ y z))
(+ (* -1 t) (/ y z))
(* -1 t)
(* t (- (/ y (* t z)) 1))
(* t (- (/ y (* t z)) 1))
(* t (- (/ y (* t z)) 1))
(* -1 t)
(* -1 (* t (+ 1 (* -1 (/ y (* t z))))))
(* -1 (* t (+ 1 (* -1 (/ y (* t z))))))
(* -1 (* t (+ 1 (* -1 (/ y (* t z))))))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* x (- (/ y z) t))
(* x (- (/ y z) t))
(* x (- (/ y z) t))
(* x (- (/ y z) t))
(* x (- (/ y z) t))
(* x (- (/ y z) t))
(* x (- (/ y z) t))
(* x (- (/ y z) t))
(* x (- (/ y z) t))
(* x (- (/ y z) t))
(* x (- (/ y z) t))
(* x (- (/ y z) t))
(* -1 (* t x))
(+ (* -1 (* t x)) (/ (* x y) z))
(+ (* -1 (* t x)) (/ (* x y) z))
(+ (* -1 (* t x)) (/ (* x y) z))
(/ (* x y) z)
(* y (+ (* -1 (/ (* t x) y)) (/ x z)))
(* y (+ (* -1 (/ (* t x) y)) (/ x z)))
(* y (+ (* -1 (/ (* t x) y)) (/ x z)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) y))))
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) y))))
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) y))))
(/ (* x y) z)
(/ (+ (* -1 (* t (* x z))) (* x y)) z)
(/ (+ (* -1 (* t (* x z))) (* x y)) z)
(/ (+ (* -1 (* t (* x z))) (* x y)) z)
(* -1 (* t x))
(+ (* -1 (* t x)) (/ (* x y) z))
(+ (* -1 (* t x)) (/ (* x y) z))
(+ (* -1 (* t x)) (/ (* x y) z))
(* -1 (* t x))
(+ (* -1 (* t x)) (/ (* x y) z))
(+ (* -1 (* t x)) (/ (* x y) z))
(+ (* -1 (* t x)) (/ (* x y) z))
(/ (* x y) z)
(+ (* -1 (* t x)) (/ (* x y) z))
(+ (* -1 (* t x)) (/ (* x y) z))
(+ (* -1 (* t x)) (/ (* x y) z))
(* -1 (* t x))
(* t (+ (* -1 x) (/ (* x y) (* t z))))
(* t (+ (* -1 x) (/ (* x y) (* t z))))
(* t (+ (* -1 x) (/ (* x y) (* t z))))
(* -1 (* t x))
(* -1 (* t (+ x (* -1 (/ (* x y) (* t z))))))
(* -1 (* t (+ x (* -1 (/ (* x y) (* t z))))))
(* -1 (* t (+ x (* -1 (/ (* x y) (* t 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 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 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 y) z)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
Outputs
(/ (* t x) z)
(fma.f64 x (/.f64 t z) #s(literal 0 binary64))
(+ (/ (* t x) z) (/ (* x y) z))
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
(+ (/ (* t x) z) (/ (* x y) z))
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
(+ (/ (* t x) z) (/ (* x y) z))
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(* y (+ (/ x z) (/ (* t x) (* y z))))
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
(* y (+ (/ x z) (/ (* t x) (* y z))))
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
(* y (+ (/ x z) (/ (* t x) (* y z))))
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y z))))))
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y z))))))
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y z))))))
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
(/ (* x y) z)
(fma.f64 x (/.f64 y z) #s(literal 0 binary64))
(+ (/ (* t x) z) (/ (* x y) z))
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
(+ (/ (* t x) z) (/ (* x y) z))
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
(+ (/ (* t x) z) (/ (* x y) z))
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
(/ (* t x) z)
(fma.f64 x (/.f64 t z) #s(literal 0 binary64))
(* t (+ (/ x z) (/ (* x y) (* t z))))
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
(* t (+ (/ x z) (/ (* x y) (* t z))))
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
(* t (+ (/ x z) (/ (* x y) (* t z))))
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
(/ (* t x) z)
(fma.f64 x (/.f64 t z) #s(literal 0 binary64))
(* -1 (* t (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t z))))))
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
(* -1 (* t (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t z))))))
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
(* -1 (* t (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t z))))))
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
(/ (* x (+ t y)) z)
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
(/ (* x (+ t y)) z)
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
(/ (* x (+ t y)) z)
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
(/ (* x (+ t y)) z)
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
(/ (* x (+ t y)) z)
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
(/ (* x (+ t y)) z)
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
(/ (* x (+ t y)) z)
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
(/ (* x (+ t y)) z)
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
(/ (* x (+ t y)) z)
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
(/ (* x (+ t y)) z)
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
(/ (* x (+ t y)) z)
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
(/ (* x (+ t y)) z)
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
(/ (* x (+ t y)) z)
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
(/ (* x (+ t y)) z)
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
(/ (* x (+ t y)) z)
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
(/ (* x (+ t y)) z)
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
(/ (* x (+ t y)) z)
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
(/ (* x (+ t y)) z)
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
(/ (* x (+ t y)) z)
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
(/ (* x (+ t y)) z)
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
(/ (* x (+ t y)) z)
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
(/ (* x (+ t y)) z)
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
(/ (* x (+ t y)) z)
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
(/ (* x (+ t y)) z)
(fma.f64 x (/.f64 (+.f64 t y) z) #s(literal 0 binary64))
t
(+ t y)
(+.f64 t y)
(+ t y)
(+.f64 t y)
(+ t y)
(+.f64 t y)
y
(* y (+ 1 (/ t y)))
(+.f64 t y)
(* y (+ 1 (/ t y)))
(+.f64 t y)
(* y (+ 1 (/ t y)))
(+.f64 t y)
y
(* -1 (* y (- (* -1 (/ t y)) 1)))
(+.f64 t y)
(* -1 (* y (- (* -1 (/ t y)) 1)))
(+.f64 t y)
(* -1 (* y (- (* -1 (/ t y)) 1)))
(+.f64 t y)
y
(+ t y)
(+.f64 t y)
(+ t y)
(+.f64 t y)
(+ t y)
(+.f64 t y)
t
(* t (+ 1 (/ y t)))
(+.f64 t y)
(* t (+ 1 (/ y t)))
(+.f64 t y)
(* t (+ 1 (/ y t)))
(+.f64 t y)
t
(* -1 (* t (- (* -1 (/ y t)) 1)))
(+.f64 t y)
(* -1 (* t (- (* -1 (/ y t)) 1)))
(+.f64 t y)
(* -1 (* t (- (* -1 (/ y t)) 1)))
(+.f64 t y)
(* t x)
(fma.f64 t x #s(literal 0 binary64))
(+ (* t x) (* x y))
(fma.f64 x (+.f64 t y) #s(literal 0 binary64))
(+ (* t x) (* x y))
(fma.f64 x (+.f64 t y) #s(literal 0 binary64))
(+ (* t x) (* x y))
(fma.f64 x (+.f64 t y) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (/ (* t x) y)))
(fma.f64 x (+.f64 t y) #s(literal 0 binary64))
(* y (+ x (/ (* t x) y)))
(fma.f64 x (+.f64 t y) #s(literal 0 binary64))
(* y (+ x (/ (* t x) y)))
(fma.f64 x (+.f64 t y) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t x) y)))))
(fma.f64 x (+.f64 t y) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t x) y)))))
(fma.f64 x (+.f64 t y) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t x) y)))))
(fma.f64 x (+.f64 t y) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ (* t x) (* x y))
(fma.f64 x (+.f64 t y) #s(literal 0 binary64))
(+ (* t x) (* x y))
(fma.f64 x (+.f64 t y) #s(literal 0 binary64))
(+ (* t x) (* x y))
(fma.f64 x (+.f64 t y) #s(literal 0 binary64))
(* t x)
(fma.f64 t x #s(literal 0 binary64))
(* t (+ x (/ (* x y) t)))
(fma.f64 x (+.f64 t y) #s(literal 0 binary64))
(* t (+ x (/ (* x y) t)))
(fma.f64 x (+.f64 t y) #s(literal 0 binary64))
(* t (+ x (/ (* x y) t)))
(fma.f64 x (+.f64 t y) #s(literal 0 binary64))
(* t x)
(fma.f64 t x #s(literal 0 binary64))
(* -1 (* t (+ (* -1 x) (* -1 (/ (* x y) t)))))
(fma.f64 x (+.f64 t y) #s(literal 0 binary64))
(* -1 (* t (+ (* -1 x) (* -1 (/ (* x y) t)))))
(fma.f64 x (+.f64 t y) #s(literal 0 binary64))
(* -1 (* t (+ (* -1 x) (* -1 (/ (* x y) t)))))
(fma.f64 x (+.f64 t y) #s(literal 0 binary64))
(* x (+ t y))
(fma.f64 x (+.f64 t y) #s(literal 0 binary64))
(* x (+ t y))
(fma.f64 x (+.f64 t y) #s(literal 0 binary64))
(* x (+ t y))
(fma.f64 x (+.f64 t y) #s(literal 0 binary64))
(* x (+ t y))
(fma.f64 x (+.f64 t y) #s(literal 0 binary64))
(* x (+ t y))
(fma.f64 x (+.f64 t y) #s(literal 0 binary64))
(* x (+ t y))
(fma.f64 x (+.f64 t y) #s(literal 0 binary64))
(* x (+ t y))
(fma.f64 x (+.f64 t y) #s(literal 0 binary64))
(* x (+ t y))
(fma.f64 x (+.f64 t y) #s(literal 0 binary64))
(* x (+ t y))
(fma.f64 x (+.f64 t y) #s(literal 0 binary64))
(* x (+ t y))
(fma.f64 x (+.f64 t y) #s(literal 0 binary64))
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(fma.f64 x (-.f64 (/.f64 y z) t) #s(literal 0 binary64))
(* -1 (* t (+ x (* -1 (/ (* x y) (* t z))))))
(fma.f64 x (-.f64 (/.f64 y z) t) #s(literal 0 binary64))
(* -1 (* t (+ x (* -1 (/ (* x y) (* t z))))))
(fma.f64 x (-.f64 (/.f64 y z) t) #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))
(/ (* 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))
(/ (* 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))
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)
(/ z y)
(/.f64 z y)

eval143.0ms (1.4%)

Memory
-12.2MiB live, 290.5MiB allocated
Compiler

Compiled 18 121 to 2 105 computations (88.4% saved)

prune187.0ms (1.8%)

Memory
19.0MiB live, 342.6MiB allocated
Pruning

21 alts after pruning (13 fresh and 8 done)

PrunedKeptTotal
New1 21571 222
Fresh369
Picked145
Done044
Total1 219211 240
Accuracy
100.0%
Counts
1 240 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.6%
(fma.f64 (/.f64 x z) y (*.f64 t (-.f64 #s(literal 0 binary64) x)))
✓75.3%
(/.f64 (*.f64 (+.f64 y t) x) z)
60.2%
(/.f64 (*.f64 y x) z)
63.4%
(/.f64 (*.f64 x (-.f64 y (*.f64 z t))) z)
36.4%
(/.f64 (*.f64 t x) z)
✓62.0%
(/.f64 x (/.f64 z y))
37.1%
(/.f64 x (/.f64 z t))
5.3%
(-.f64 #s(literal 0 binary64) (fma.f64 t (*.f64 x z) #s(literal 0 binary64)))
✓21.8%
(-.f64 #s(literal 0 binary64) (*.f64 t x))
46.1%
(*.f64 (/.f64 x (+.f64 z #s(literal -1 binary64))) t)
37.2%
(*.f64 (/.f64 x z) t)
17.8%
(*.f64 (-.f64 #s(literal 0 binary64) t) (fma.f64 z x x))
20.8%
(*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 t x))
17.8%
(*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) z)) t)
✓59.3%
(*.f64 y (/.f64 x z))
✓62.0%
(*.f64 x (/.f64 y z))
✓37.1%
(*.f64 x (/.f64 t z))
✓96.5%
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
✓64.7%
(*.f64 x (-.f64 (/.f64 y z) t))
37.1%
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) t))
5.3%
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) z) t))
Compiler

Compiled 589 to 270 computations (54.2% saved)

regimes79.0ms (0.8%)

Memory
-5.4MiB live, 152.4MiB allocated
Counts
42 → 1
Calls
Call 1
Inputs
(-.f64 #s(literal 0 binary64) (*.f64 t x))
(*.f64 x (neg.f64 (fma.f64 z t t)))
(*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) z) t))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) z) t))
(*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) z)) t)
(*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 t x))
(*.f64 (-.f64 #s(literal 0 binary64) t) (fma.f64 z x x))
(-.f64 #s(literal 0 binary64) (fma.f64 t (*.f64 x z) #s(literal 0 binary64)))
(*.f64 t (/.f64 x z))
(*.f64 x (/.f64 t z))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 x z) t)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 y x) z)
(fma.f64 y (/.f64 x z) #s(literal 0 binary64))
(*.f64 x (-.f64 (/.f64 y z) t))
(*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z)))
(*.f64 x (/.f64 (+.f64 t y) z))
(*.f64 (+.f64 t y) (/.f64 x z))
(*.f64 (/.f64 x (+.f64 z #s(literal -1 binary64))) t)
(/.f64 (*.f64 t x) (+.f64 z #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 y t) x) z)
(/.f64 (fma.f64 t x #s(literal 0 binary64)) (+.f64 #s(literal -1 binary64) z))
(/.f64 (fma.f64 (+.f64 t y) x #s(literal 0 binary64)) z)
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) t))
(/.f64 x (/.f64 z t))
(/.f64 x (/.f64 z y))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) z)) t))
(/.f64 (*.f64 x (-.f64 y (*.f64 z t))) z)
(/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) z) t))
(/.f64 x (/.f64 (+.f64 z #s(literal -1 binary64)) t))
(/.f64 (*.f64 x (-.f64 y (fma.f64 t z #s(literal 0 binary64)))) z)
(fma.f64 (/.f64 x z) y (*.f64 t (-.f64 #s(literal 0 binary64) x)))
(*.f64 x (fma.f64 t (/.f64 y (*.f64 z t)) (-.f64 #s(literal 0 binary64) t)))
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
(*.f64 x (fma.f64 t (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) z)) (/.f64 y z)))
(*.f64 x (fma.f64 t (/.f64 y (*.f64 z t)) (/.f64 t (+.f64 z #s(literal -1 binary64)))))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
(/.f64 x (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) z)) (fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 0 binary64) z) t))))
(*.f64 x (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 z y) t)) (*.f64 (/.f64 z y) (-.f64 #s(literal 1 binary64) z))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 y y) (*.f64 z z)) (/.f64 (*.f64 t t) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))) x) (+.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
Outputs
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
Calls

6 calls:

15.0ms
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))
13.0ms
x
13.0ms
z
13.0ms
t
12.0ms
y
Results
AccuracySegmentsBranch
96.5%1x
96.5%1y
96.5%1z
96.5%1t
96.5%1(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
96.5%1(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))
Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes90.0ms (0.9%)

Memory
-11.6MiB live, 106.3MiB allocated
Counts
35 → 3
Calls
Call 1
Inputs
(-.f64 #s(literal 0 binary64) (*.f64 t x))
(*.f64 x (neg.f64 (fma.f64 z t t)))
(*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) z) t))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) z) t))
(*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) z)) t)
(*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 t x))
(*.f64 (-.f64 #s(literal 0 binary64) t) (fma.f64 z x x))
(-.f64 #s(literal 0 binary64) (fma.f64 t (*.f64 x z) #s(literal 0 binary64)))
(*.f64 t (/.f64 x z))
(*.f64 x (/.f64 t z))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 x z) t)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 y x) z)
(fma.f64 y (/.f64 x z) #s(literal 0 binary64))
(*.f64 x (-.f64 (/.f64 y z) t))
(*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z)))
(*.f64 x (/.f64 (+.f64 t y) z))
(*.f64 (+.f64 t y) (/.f64 x z))
(*.f64 (/.f64 x (+.f64 z #s(literal -1 binary64))) t)
(/.f64 (*.f64 t x) (+.f64 z #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 y t) x) z)
(/.f64 (fma.f64 t x #s(literal 0 binary64)) (+.f64 #s(literal -1 binary64) z))
(/.f64 (fma.f64 (+.f64 t y) x #s(literal 0 binary64)) z)
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) t))
(/.f64 x (/.f64 z t))
(/.f64 x (/.f64 z y))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) z)) t))
(/.f64 (*.f64 x (-.f64 y (*.f64 z t))) z)
(/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) z) t))
(/.f64 x (/.f64 (+.f64 z #s(literal -1 binary64)) t))
(/.f64 (*.f64 x (-.f64 y (fma.f64 t z #s(literal 0 binary64)))) z)
(fma.f64 (/.f64 x z) y (*.f64 t (-.f64 #s(literal 0 binary64) x)))
(*.f64 x (fma.f64 t (/.f64 y (*.f64 z t)) (-.f64 #s(literal 0 binary64) t)))
Outputs
(*.f64 x (/.f64 (+.f64 t y) z))
(*.f64 x (-.f64 (/.f64 y z) t))
(*.f64 x (/.f64 (+.f64 t y) z))
Calls

6 calls:

28.0ms
y
18.0ms
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
10.0ms
t
10.0ms
x
10.0ms
z
Results
AccuracySegmentsBranch
79.8%2x
83.9%3y
96.1%3z
84.9%3t
83.7%3(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
86.5%3(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))
Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes18.0ms (0.2%)

Memory
37.5MiB live, 37.5MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
(-.f64 #s(literal 0 binary64) (*.f64 t x))
(*.f64 x (neg.f64 (fma.f64 z t t)))
(*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) z) t))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) z) t))
(*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) z)) t)
(*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 t x))
(*.f64 (-.f64 #s(literal 0 binary64) t) (fma.f64 z x x))
(-.f64 #s(literal 0 binary64) (fma.f64 t (*.f64 x z) #s(literal 0 binary64)))
(*.f64 t (/.f64 x z))
(*.f64 x (/.f64 t z))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 x z) t)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 y x) z)
(fma.f64 y (/.f64 x z) #s(literal 0 binary64))
(*.f64 x (-.f64 (/.f64 y z) t))
(*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z)))
Outputs
(*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z)))
(*.f64 x (/.f64 y z))
(*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z)))
Calls

3 calls:

6.0ms
z
6.0ms
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))
6.0ms
t
Results
AccuracySegmentsBranch
84.1%3t
77.5%3(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))
81.4%3z
Compiler

Compiled 23 to 17 computations (26.1% saved)

regimes32.0ms (0.3%)

Memory
-36.3MiB live, 51.0MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
(-.f64 #s(literal 0 binary64) (*.f64 t x))
(*.f64 x (neg.f64 (fma.f64 z t t)))
(*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) z) t))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) z) t))
(*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) z)) t)
(*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 t x))
(*.f64 (-.f64 #s(literal 0 binary64) t) (fma.f64 z x x))
(-.f64 #s(literal 0 binary64) (fma.f64 t (*.f64 x z) #s(literal 0 binary64)))
(*.f64 t (/.f64 x z))
(*.f64 x (/.f64 t z))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 x z) t)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 y x) z)
(fma.f64 y (/.f64 x z) #s(literal 0 binary64))
(*.f64 x (-.f64 (/.f64 y z) t))
Outputs
(*.f64 x (/.f64 t z))
(*.f64 x (-.f64 (/.f64 y z) t))
(*.f64 x (/.f64 t z))
Calls

4 calls:

13.0ms
z
7.0ms
t
6.0ms
y
5.0ms
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
Results
AccuracySegmentsBranch
81.4%3z
74.5%3(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
78.6%6y
79.9%5t
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes25.0ms (0.2%)

Memory
4.5MiB live, 42.7MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
(-.f64 #s(literal 0 binary64) (*.f64 t x))
(*.f64 x (neg.f64 (fma.f64 z t t)))
(*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) z) t))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) z) t))
(*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) z)) t)
(*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 t x))
(*.f64 (-.f64 #s(literal 0 binary64) t) (fma.f64 z x x))
(-.f64 #s(literal 0 binary64) (fma.f64 t (*.f64 x z) #s(literal 0 binary64)))
(*.f64 t (/.f64 x z))
(*.f64 x (/.f64 t z))
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 x z) t)
(/.f64 (*.f64 t x) z)
(/.f64 (*.f64 y x) z)
(fma.f64 y (/.f64 x z) #s(literal 0 binary64))
Outputs
(*.f64 x (/.f64 t z))
(*.f64 x (/.f64 y z))
(*.f64 x (/.f64 t z))
Calls

4 calls:

8.0ms
t
5.0ms
x
5.0ms
z
5.0ms
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))
Results
AccuracySegmentsBranch
74.8%3t
66.5%3(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))
62.0%1x
69.7%3z
Compiler

Compiled 28 to 21 computations (25% saved)

regimes26.0ms (0.3%)

Memory
18.6MiB live, 54.4MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
(-.f64 #s(literal 0 binary64) (*.f64 t x))
(*.f64 x (neg.f64 (fma.f64 z t t)))
(*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) z) t))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) z) t))
(*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) z)) t)
(*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 t x))
(*.f64 (-.f64 #s(literal 0 binary64) t) (fma.f64 z x x))
(-.f64 #s(literal 0 binary64) (fma.f64 t (*.f64 x z) #s(literal 0 binary64)))
(*.f64 t (/.f64 x z))
(*.f64 x (/.f64 t z))
Outputs
(*.f64 x (/.f64 t z))
(*.f64 (-.f64 #s(literal 0 binary64) t) (fma.f64 z x x))
(*.f64 x (/.f64 t z))
Calls

6 calls:

7.0ms
z
4.0ms
x
4.0ms
t
4.0ms
y
4.0ms
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))
Results
AccuracySegmentsBranch
41.0%2x
42.1%3(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))
48.1%3z
37.2%1y
41.0%3(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
43.6%4t
Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes4.0ms (0%)

Memory
11.0MiB live, 11.0MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
(-.f64 #s(literal 0 binary64) (*.f64 t x))
(*.f64 x (neg.f64 (fma.f64 z t t)))
(*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) z) t))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) z) t))
(*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) z)) t)
(*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 t x))
(*.f64 (-.f64 #s(literal 0 binary64) t) (fma.f64 z x x))
(-.f64 #s(literal 0 binary64) (fma.f64 t (*.f64 x z) #s(literal 0 binary64)))
(*.f64 t (/.f64 x z))
Outputs
(*.f64 t (/.f64 x z))
(*.f64 (-.f64 #s(literal 0 binary64) t) (fma.f64 z x x))
(*.f64 t (/.f64 x z))
Calls

1 calls:

3.0ms
z
Results
AccuracySegmentsBranch
45.9%3z
Compiler

Compiled 5 to 4 computations (20% saved)

regimes25.0ms (0.2%)

Memory
-31.1MiB live, 53.9MiB allocated
Accuracy

Total -11.2b remaining (-22.5%)

Threshold costs -11.2b (-22.5%)

Counts
8 → 1
Calls
Call 1
Inputs
(-.f64 #s(literal 0 binary64) (*.f64 t x))
(*.f64 x (neg.f64 (fma.f64 z t t)))
(*.f64 x (*.f64 (-.f64 #s(literal -1 binary64) z) t))
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) z) t))
(*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) z)) t)
(*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 t x))
(*.f64 (-.f64 #s(literal 0 binary64) t) (fma.f64 z x x))
(-.f64 #s(literal 0 binary64) (fma.f64 t (*.f64 x z) #s(literal 0 binary64)))
Outputs
(-.f64 #s(literal 0 binary64) (*.f64 t x))
Calls

6 calls:

6.0ms
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
6.0ms
z
3.0ms
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))
3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
21.8%1y
21.8%1(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
21.8%1t
21.8%1(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))
21.8%1x
21.8%1z
Compiler

Compiled 48 to 35 computations (27.1% saved)

bsearch80.0ms (0.8%)

Memory
3.3MiB live, 82.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
65.0ms
9.027193773145351e-8
544.0092720608783
12.0ms
-1234191.1289296446
-0.0008836757195308405
Samples
24.0ms304×0valid
Compiler

Compiled 474 to 321 computations (32.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 11.0ms (67.5% of total)
ival-sub: 3.0ms (18.4% of total)
ival-mult: 2.0ms (12.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch36.0ms (0.3%)

Memory
-0.6MiB live, 77.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
6.593643103440437e+133
1.327273314122228e+156
16.0ms
-6.954915398010026e-7
-4.864811963342026e-19
Samples
23.0ms336×0valid
Compiler

Compiled 480 to 353 computations (26.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 7.0ms (56.3% of total)
ival-sub: 3.0ms (24.1% of total)
ival-mult: 2.0ms (16.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch25.0ms (0.2%)

Memory
14.1MiB live, 52.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
1.4782861167957158e+31
9.982637654741574e+33
10.0ms
-2.441975411182688e+62
-1.5165315730626245e+61
Samples
15.0ms240×0valid
Compiler

Compiled 348 to 242 computations (30.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sub: 4.0ms (43.6% of total)
ival-div: 3.0ms (32.7% of total)
ival-mult: 2.0ms (21.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch32.0ms (0.3%)

Memory
-11.0MiB live, 65.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
6.593643103440437e+133
1.327273314122228e+156
13.0ms
-6.703484747189653e+117
-7.369276853243217e+114
Samples
20.0ms304×0valid
Compiler

Compiled 398 to 283 computations (28.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 4.0ms (36.9% of total)
ival-sub: 4.0ms (36.9% of total)
ival-mult: 2.0ms (18.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch33.0ms (0.3%)

Memory
21.5MiB live, 61.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
17.0ms
3756312821337.0884
5.3111495253050556e+20
12.0ms
-1234191.1289296446
-0.0008836757195308405
Samples
21.0ms288×0valid
Compiler

Compiled 432 to 305 computations (29.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 9.0ms (65.8% of total)
ival-sub: 2.0ms (14.6% of total)
ival-mult: 2.0ms (14.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch31.0ms (0.3%)

Memory
-15.5MiB live, 60.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
3756312821337.0884
5.3111495253050556e+20
15.0ms
-1234191.1289296446
-0.0008836757195308405
Samples
20.0ms288×0valid
Compiler

Compiled 432 to 305 computations (29.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 4.0ms (37.3% of total)
ival-sub: 4.0ms (37.3% of total)
ival-mult: 2.0ms (18.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify31.0ms (0.3%)

Memory
6.7MiB live, 43.8MiB allocated
Algorithm
1×egg-herbie
Rules
232×distribute-lft-neg-in_binary64
144×neg-mul-1_binary64
118×neg-sub0_binary64
92×distribute-neg-in_binary64
84×cancel-sign-sub_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060141
1101141
2124141
3145141
4170141
5209141
6271141
7374141
8478141
9586141
10691141
11746141
12760141
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
(if (<=.f64 z #s(literal -1 binary64)) (*.f64 x (/.f64 (+.f64 t y) z)) (if (<=.f64 z #s(literal 1 binary64)) (*.f64 x (-.f64 (/.f64 y z) t)) (*.f64 x (/.f64 (+.f64 t y) z))))
(if (<=.f64 t #s(literal -6800207735332289/37778931862957161709568 binary64)) (*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z))) (if (<=.f64 t #s(literal 99999999999999992148203649670699315007549827372972461504375111049848301607660324472857261615145089428049364457837845490532419930947584 binary64)) (*.f64 x (/.f64 y z)) (*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z)))))
(if (<=.f64 z #s(literal -179999999999999999453170509709082682403171918679384631451582464 binary64)) (*.f64 x (/.f64 t z)) (if (<=.f64 z #s(literal 2049999999999999974898336368951296 binary64)) (*.f64 x (-.f64 (/.f64 y z) t)) (*.f64 x (/.f64 t z))))
(if (<=.f64 t #s(literal -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392000 binary64)) (*.f64 x (/.f64 t z)) (if (<=.f64 t #s(literal 40000000000000000687101295488708764721572416337221820430929313780800125051127541680330506971444692730890183838174171339147724505780692024998538197860352 binary64)) (*.f64 x (/.f64 y z)) (*.f64 x (/.f64 t z))))
(if (<=.f64 z #s(literal -3/4 binary64)) (*.f64 x (/.f64 t z)) (if (<=.f64 z #s(literal 3800000000000 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) t) (fma.f64 z x x)) (*.f64 x (/.f64 t z))))
(if (<=.f64 z #s(literal -3/4 binary64)) (*.f64 t (/.f64 x z)) (if (<=.f64 z #s(literal 3800000000000 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) t) (fma.f64 z x x)) (*.f64 t (/.f64 x z))))
(-.f64 #s(literal 0 binary64) (*.f64 t x))
Outputs
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
(if (<=.f64 z #s(literal -1 binary64)) (*.f64 x (/.f64 (+.f64 t y) z)) (if (<=.f64 z #s(literal 1 binary64)) (*.f64 x (-.f64 (/.f64 y z) t)) (*.f64 x (/.f64 (+.f64 t y) z))))
(if (<=.f64 z #s(literal -1 binary64)) (*.f64 x (/.f64 (+.f64 y t) z)) (if (<=.f64 z #s(literal 1 binary64)) (*.f64 x (-.f64 (/.f64 y z) t)) (*.f64 x (/.f64 (+.f64 y t) z))))
(if (<=.f64 t #s(literal -6800207735332289/37778931862957161709568 binary64)) (*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z))) (if (<=.f64 t #s(literal 99999999999999992148203649670699315007549827372972461504375111049848301607660324472857261615145089428049364457837845490532419930947584 binary64)) (*.f64 x (/.f64 y z)) (*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z)))))
(if (<=.f64 t #s(literal -6800207735332289/37778931862957161709568 binary64)) (*.f64 x (/.f64 t (+.f64 z #s(literal -1 binary64)))) (if (<=.f64 t #s(literal 99999999999999992148203649670699315007549827372972461504375111049848301607660324472857261615145089428049364457837845490532419930947584 binary64)) (*.f64 x (/.f64 y z)) (*.f64 x (/.f64 t (+.f64 z #s(literal -1 binary64))))))
(if (<=.f64 z #s(literal -179999999999999999453170509709082682403171918679384631451582464 binary64)) (*.f64 x (/.f64 t z)) (if (<=.f64 z #s(literal 2049999999999999974898336368951296 binary64)) (*.f64 x (-.f64 (/.f64 y z) t)) (*.f64 x (/.f64 t z))))
(if (<=.f64 t #s(literal -50000000000000000777970806473342151213410069846053071668488529021541689058237785163249269495752372383810314043392000 binary64)) (*.f64 x (/.f64 t z)) (if (<=.f64 t #s(literal 40000000000000000687101295488708764721572416337221820430929313780800125051127541680330506971444692730890183838174171339147724505780692024998538197860352 binary64)) (*.f64 x (/.f64 y z)) (*.f64 x (/.f64 t z))))
(if (<=.f64 z #s(literal -3/4 binary64)) (*.f64 x (/.f64 t z)) (if (<=.f64 z #s(literal 3800000000000 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) t) (fma.f64 z x x)) (*.f64 x (/.f64 t z))))
(if (<=.f64 z #s(literal -3/4 binary64)) (*.f64 x (/.f64 t z)) (if (<=.f64 z #s(literal 3800000000000 binary64)) (*.f64 t (-.f64 #s(literal 0 binary64) (fma.f64 z x x))) (*.f64 x (/.f64 t z))))
(if (<=.f64 z #s(literal -3/4 binary64)) (*.f64 t (/.f64 x z)) (if (<=.f64 z #s(literal 3800000000000 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) t) (fma.f64 z x x)) (*.f64 t (/.f64 x z))))
(if (<=.f64 z #s(literal -3/4 binary64)) (*.f64 t (/.f64 x z)) (if (<=.f64 z #s(literal 3800000000000 binary64)) (*.f64 t (-.f64 #s(literal 0 binary64) (fma.f64 z x x))) (*.f64 t (/.f64 x z))))
(-.f64 #s(literal 0 binary64) (*.f64 t x))
(*.f64 x (-.f64 #s(literal 0 binary64) t))

soundness921.0ms (8.9%)

Memory
-21.5MiB live, 807.2MiB allocated
Rules
15 448×accelerator-lowering-fma.f32
15 448×accelerator-lowering-fma.f64
10 790×accelerator-lowering-fma.f32
10 790×accelerator-lowering-fma.f64
8 922×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06315288
121174956
272044906
081674760
028115
1177115
21777115
08729112
02031206
16151158
217601126
355241114
083051097
02572942
17912886
223142613
368042611
081722584
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
Compiler

Compiled 388 to 207 computations (46.6% saved)

preprocess142.0ms (1.4%)

Memory
-10.6MiB live, 184.9MiB allocated
Remove

(negabs x)

Compiler

Compiled 616 to 252 computations (59.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...