Diagrams.Backend.Rasterific:rasterificRadialGradient from diagrams-rasterific-1.3.1.3

Time bar (total: 10.7s)

analyze37.0ms (0.3%)

Memory
6.1MiB live, 84.1MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
87.5%87.4%12.5%0.1%0%0%0%10
87.5%87.4%12.5%0.1%0%0%0%11
87.5%87.4%12.5%0.1%0%0%0%12
Compiler

Compiled 11 to 9 computations (18.2% saved)

sample726.0ms (6.8%)

Memory
57.0MiB live, 950.0MiB allocated
Samples
428.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 219.0ms
ival-mult: 61.0ms (27.9% of total)
ival-div: 60.0ms (27.4% of total)
ival-sub: 51.0ms (23.3% of total)
ival-add: 38.0ms (17.4% of total)
ival-true: 6.0ms (2.7% of total)
ival-assert: 3.0ms (1.4% of total)
Bogosity

preprocess691.0ms (6.4%)

Memory
-49.8MiB live, 365.3MiB allocated
Algorithm
2×egg-herbie
Rules
6 920×accelerator-lowering-fma.f32
6 920×accelerator-lowering-fma.f64
2 420×*-lowering-*.f32
2 420×*-lowering-*.f64
2 102×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036103
18493
220290
375790
4218190
5511090
6618290
7649990
8657890
9661990
10662090
11688590
12741890
13763090
14768290
15774090
16776490
17776690
18776690
079
1119
2229
3499
4859
51349
62399
74859
813189
928709
1038349
1142959
1245619
1346929
1447079
1562099
1666859
1769499
1870919
1972139
2072139
2174909
2275969
2375969
2477369
080148
Stop Event
1×iter limit
1×node limit
1×node limit
Calls
Call 1
Inputs
(/ (+ x (* y (- z x))) z)
Outputs
(/ (+ x (* y (- z x))) z)
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) y)
Call 2
Inputs
(/ (+ x (* y (- z x))) z)
(/ (+ (neg x) (* y (- z (neg x)))) z)
(/ (+ x (* (neg y) (- z x))) z)
(/ (+ x (* y (- (neg z) x))) (neg z))
(neg (/ (+ (neg x) (* y (- z (neg x)))) z))
(neg (/ (+ x (* (neg y) (- z x))) z))
(neg (/ (+ x (* y (- (neg z) x))) (neg z)))
(/ (+ y (* x (- z y))) z)
(/ (+ z (* y (- x z))) x)
(/ (+ x (* z (- y x))) y)
Outputs
(/ (+ x (* y (- z x))) z)
(+ y (* x (/ (- 1 y) z)))
(/ (+ (neg x) (* y (- z (neg x)))) z)
(+ y (* x (/ (+ y -1) z)))
(/ (+ x (* (neg y) (- z x))) z)
(- (/ (+ x (* x y)) z) y)
(/ (+ x (* y (- (neg z) x))) (neg z))
(+ y (* x (/ (+ y -1) z)))
(neg (/ (+ (neg x) (* y (- z (neg x)))) z))
(- (* x (/ (- 1 y) z)) y)
(neg (/ (+ x (* (neg y) (- z x))) z))
(- y (/ (+ x (* x y)) z))
(neg (/ (+ x (* y (- (neg z) x))) (neg z)))
(- (* x (/ (- 1 y) z)) y)
(/ (+ y (* x (- z y))) z)
(+ x (/ (- y (* x y)) z))
(/ (+ z (* y (- x z))) x)
(+ y (* z (/ (- 1 y) x)))
(/ (+ x (* z (- y x))) y)
(+ z (* x (/ (- 1 z) y)))

explain82.0ms (0.8%)

Memory
31.3MiB live, 142.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
350-0-(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
00-0-(+.f64 x (*.f64 y (-.f64 z x)))
00-0-y
00-0-(*.f64 y (-.f64 z x))
00-0-(-.f64 z x)
00-0-z
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)o/n350
↳(+.f64 x (*.f64 y (-.f64 z x)))overflow51
↳(*.f64 y (-.f64 z x))overflow51
Confusion
Predicted +Predicted -
+350
-0221
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3500
-00221
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0221
135
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
31.0ms512×0valid
Compiler

Compiled 82 to 32 computations (61% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 4.0ms (30.1% of total)
ival-mult: 4.0ms (30.1% of total)
ival-sub: 3.0ms (22.6% of total)
ival-add: 2.0ms (15.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶87.1%
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify421.0ms (3.9%)

Memory
-0.8MiB live, 322.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 y (-.f64 z x))
✓cost-diff0
(-.f64 z x)
✓cost-diff0
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
✓cost-diff192
(+.f64 x (*.f64 y (-.f64 z x)))
Rules
6 920×accelerator-lowering-fma.f32
6 920×accelerator-lowering-fma.f64
2 420×*-lowering-*.f32
2 420×*-lowering-*.f64
1 122×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0727
11127
22227
34927
48527
513427
623927
748527
8131827
9287027
10383427
11429527
12456127
13469227
14470727
15620927
16668527
17694927
18709127
19721327
20721327
21749027
22759627
23759627
24773627
0801425
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (+ x (* y (- z x))) z)
(+ x (* y (- z x)))
x
(* y (- z x))
y
(- z x)
z
Outputs
(/ (+ x (* y (- z x))) z)
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) y)
(+ x (* y (- z x)))
(fma.f64 y (-.f64 z x) x)
x
(* y (- z x))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
y
(- z x)
(-.f64 z x)
z

localize24.0ms (0.2%)

Memory
-30.8MiB live, 51.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 z x)
✓accuracy100.0%
(+.f64 x (*.f64 y (-.f64 z x)))
✓accuracy100.0%
(*.f64 y (-.f64 z x))
✓accuracy87.1%
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Samples
16.0ms256×0valid
Compiler

Compiled 29 to 9 computations (69% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 2.0ms (30.7% of total)
ival-mult: 2.0ms (30.7% of total)
ival-sub: 1.0ms (15.3% of total)
ival-add: 1.0ms (15.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
18.4MiB live, 18.4MiB allocated
Counts
4 → 132
Calls
Call 1
Inputs
#<alt (+ x (* y (- z x)))>
#<alt (/ (+ x (* y (- z x))) z)>
#<alt (- z x)>
#<alt (* y (- z x))>
Outputs
#<alt (* y z)>
#<alt (+ (* x (+ 1 (* -1 y))) (* y z))>
#<alt (+ (* x (+ 1 (* -1 y))) (* y z))>
#<alt (+ (* x (+ 1 (* -1 y))) (* y z))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (+ (* -1 y) (/ (* y z) x))))>
#<alt (* x (+ 1 (+ (* -1 y) (/ (* y z) x))))>
#<alt (* x (+ 1 (+ (* -1 y) (/ (* y z) x))))>
#<alt (* -1 (* x (- y 1)))>
#<alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))>
#<alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))>
#<alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))>
#<alt x>
#<alt (+ x (* y (- z x)))>
#<alt (+ x (* y (- z x)))>
#<alt (+ x (* y (- z x)))>
#<alt (* y (- z x))>
#<alt (* y (- (+ z (/ x y)) x))>
#<alt (* y (- (+ z (/ x y)) x))>
#<alt (* y (- (+ z (/ x y)) x))>
#<alt (* y (- z x))>
#<alt (* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))>
#<alt (+ x (* -1 (* x y)))>
#<alt (+ x (+ (* -1 (* x y)) (* y z)))>
#<alt (+ x (+ (* -1 (* x y)) (* y z)))>
#<alt (+ x (+ (* -1 (* x y)) (* y z)))>
#<alt (* y z)>
#<alt (* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))>
#<alt (* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))>
#<alt (* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))>
#<alt (* y z)>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))>
#<alt y>
#<alt (+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))>
#<alt (+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))>
#<alt (+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))>
#<alt (/ (* x (+ 1 (* -1 y))) z)>
#<alt (* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))>
#<alt (* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))>
#<alt (* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))>
#<alt (* -1 (/ (* x (- y 1)) z))>
#<alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))>
#<alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))>
#<alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))>
#<alt (/ x z)>
#<alt (+ (* y (- 1 (/ x z))) (/ x z))>
#<alt (+ (* y (- 1 (/ x z))) (/ x z))>
#<alt (+ (* y (- 1 (/ x z))) (/ x z))>
#<alt (/ (* y (- z x)) z)>
#<alt (* y (- (+ 1 (/ x (* y z))) (/ x z)))>
#<alt (* y (- (+ 1 (/ x (* y z))) (/ x z)))>
#<alt (* y (- (+ 1 (/ x (* y z))) (/ x z)))>
#<alt (/ (* y (- z x)) z)>
#<alt (* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))>
#<alt (* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))>
#<alt (* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))>
#<alt (/ (+ x (* -1 (* x y))) z)>
#<alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z)>
#<alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z)>
#<alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z)>
#<alt y>
#<alt (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))>
#<alt (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))>
#<alt (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))>
#<alt y>
#<alt (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))>
#<alt (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))>
#<alt (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))>
#<alt (* -1 x)>
#<alt (- z x)>
#<alt (- z x)>
#<alt (- z x)>
#<alt z>
#<alt (* z (+ 1 (* -1 (/ x z))))>
#<alt (* z (+ 1 (* -1 (/ x z))))>
#<alt (* z (+ 1 (* -1 (/ x z))))>
#<alt z>
#<alt (* -1 (* z (- (/ x z) 1)))>
#<alt (* -1 (* z (- (/ x z) 1)))>
#<alt (* -1 (* z (- (/ x z) 1)))>
#<alt z>
#<alt (+ z (* -1 x))>
#<alt (+ z (* -1 x))>
#<alt (+ z (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ z x) 1))>
#<alt (* x (- (/ z x) 1))>
#<alt (* x (- (/ z x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ z x)))))>
#<alt (* y (- z x))>
#<alt (* y (- z x))>
#<alt (* y (- z x))>
#<alt (* y (- z x))>
#<alt (* y (- z x))>
#<alt (* y (- z x))>
#<alt (* y (- z x))>
#<alt (* y (- z x))>
#<alt (* y (- z x))>
#<alt (* y (- z x))>
#<alt (* y (- z x))>
#<alt (* y (- z x))>
#<alt (* -1 (* x y))>
#<alt (+ (* -1 (* x y)) (* y z))>
#<alt (+ (* -1 (* x y)) (* y z))>
#<alt (+ (* -1 (* x y)) (* y z))>
#<alt (* y z)>
#<alt (* z (+ y (* -1 (/ (* x y) z))))>
#<alt (* z (+ y (* -1 (/ (* x y) z))))>
#<alt (* z (+ y (* -1 (/ (* x y) z))))>
#<alt (* y z)>
#<alt (* -1 (* z (+ (* -1 y) (/ (* x y) z))))>
#<alt (* -1 (* z (+ (* -1 y) (/ (* x y) z))))>
#<alt (* -1 (* z (+ (* -1 y) (/ (* x y) z))))>
#<alt (* y z)>
#<alt (+ (* -1 (* x y)) (* y z))>
#<alt (+ (* -1 (* x y)) (* y z))>
#<alt (+ (* -1 (* x y)) (* y z))>
#<alt (* -1 (* x y))>
#<alt (* x (+ (* -1 y) (/ (* y z) x)))>
#<alt (* x (+ (* -1 y) (/ (* y z) x)))>
#<alt (* x (+ (* -1 y) (/ (* y z) x)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (+ y (* -1 (/ (* y z) x)))))>
#<alt (* -1 (* x (+ y (* -1 (/ (* y z) x)))))>
#<alt (* -1 (* x (+ y (* -1 (/ (* y z) x)))))>
Calls

33 calls:

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

rewrite419.0ms (3.9%)

Memory
16.0MiB live, 689.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 848×accelerator-lowering-fma.f32
4 848×accelerator-lowering-fma.f64
4 800×*-lowering-*.f32
4 800×*-lowering-*.f64
3 004×pow-lowering-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
14224
234824
3456224
0910722
Stop Event
1×iter limit
1×node limit
Counts
4 → 373
Calls
Call 1
Inputs
(+ x (* y (- z x)))
(/ (+ x (* y (- z x))) z)
(- z x)
(* y (- z x))
Outputs
(+.f64 x (*.f64 y (-.f64 z x)))
(+.f64 (*.f64 y (-.f64 z x)) x)
(+.f64 (/.f64 (*.f64 x x) (fma.f64 y (-.f64 #s(literal 0 binary64) (-.f64 z x)) x)) (neg.f64 (/.f64 (*.f64 (-.f64 z x) (*.f64 (-.f64 z x) (*.f64 y y))) (fma.f64 y (-.f64 #s(literal 0 binary64) (-.f64 z x)) x))))
(+.f64 (*.f64 y z) (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
(+.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (-.f64 z x)))))
(+.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (-.f64 z x)))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(+.f64 (+.f64 x (*.f64 y z)) (*.f64 y (-.f64 #s(literal 0 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 z x) x))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 z x) x)))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 y (-.f64 #s(literal 0 binary64) (-.f64 z x)) x)) (/.f64 (*.f64 (-.f64 z x) (*.f64 (-.f64 z x) (*.f64 y y))) (fma.f64 y (-.f64 #s(literal 0 binary64) (-.f64 z x)) x)))
(-.f64 (/.f64 (*.f64 (-.f64 z x) (*.f64 (-.f64 z x) (*.f64 y y))) (fma.f64 y (-.f64 z x) (-.f64 #s(literal 0 binary64) x))) (/.f64 (*.f64 x x) (fma.f64 y (-.f64 z x) (-.f64 #s(literal 0 binary64) x))))
(fma.f64 x (/.f64 x (fma.f64 y (-.f64 #s(literal 0 binary64) (-.f64 z x)) x)) (neg.f64 (/.f64 (*.f64 (-.f64 z x) (*.f64 (-.f64 z x) (*.f64 y y))) (fma.f64 y (-.f64 #s(literal 0 binary64) (-.f64 z x)) x))))
(fma.f64 y z (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 y (-.f64 z x) x)
(fma.f64 z y (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (-.f64 z x) y x)
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (-.f64 z x)) x)) (neg.f64 (/.f64 (*.f64 (-.f64 z x) (*.f64 (-.f64 z x) (*.f64 y y))) (fma.f64 y (-.f64 #s(literal 0 binary64) (-.f64 z x)) x))))
(fma.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))) y) x)
(fma.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 y (fma.f64 x (+.f64 x z) (*.f64 z z))) x)
(fma.f64 (*.f64 (-.f64 z x) (+.f64 x z)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) y) x)
(fma.f64 (*.f64 (-.f64 z x) (+.f64 x z)) (/.f64 y (+.f64 x z)) x)
(fma.f64 (*.f64 (+.f64 x z) (*.f64 y (-.f64 z x))) (/.f64 #s(literal 1 binary64) (+.f64 x z)) x)
(fma.f64 (*.f64 y (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))) x)
(fma.f64 (/.f64 (*.f64 (+.f64 x z) (*.f64 y (-.f64 z x))) (*.f64 (-.f64 z x) (+.f64 x z))) (-.f64 z x) x)
(fma.f64 (/.f64 (*.f64 (+.f64 x z) (*.f64 y (-.f64 z x))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (fma.f64 x (-.f64 x z) (*.f64 z z)) x)
(fma.f64 (/.f64 (*.f64 y (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (fma.f64 z (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z z)) (*.f64 (*.f64 x (+.f64 x z)) (*.f64 (*.f64 x (+.f64 x z)) (*.f64 x (+.f64 x z)))))) (fma.f64 z (*.f64 z (*.f64 z z)) (*.f64 (*.f64 x (+.f64 x z)) (-.f64 (*.f64 x (+.f64 x z)) (*.f64 z z)))) x)
(fma.f64 (/.f64 (*.f64 y (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 (*.f64 z z) (*.f64 x (+.f64 x z))))) (-.f64 (*.f64 z z) (*.f64 x (+.f64 x z))) x)
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 y (-.f64 z x) x) (fma.f64 y (-.f64 #s(literal 0 binary64) (-.f64 z x)) x))) (fma.f64 y (-.f64 z x) x) (neg.f64 (/.f64 (*.f64 (-.f64 z x) (*.f64 (-.f64 z x) (*.f64 y y))) (fma.f64 y (-.f64 #s(literal 0 binary64) (-.f64 z x)) x))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) x) (*.f64 x x)) (fma.f64 y (-.f64 #s(literal 0 binary64) (-.f64 z x)) x))) (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) x) (*.f64 x x)) (neg.f64 (/.f64 (*.f64 (-.f64 z x) (*.f64 (-.f64 z x) (*.f64 y y))) (fma.f64 y (-.f64 #s(literal 0 binary64) (-.f64 z x)) x))))
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (-.f64 z x) #s(literal 1 binary64)) x)
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(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))))
(*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (*.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z)))))
(*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (/.f64 (-.f64 z x) (fma.f64 x (+.f64 x z) (*.f64 z z))))
(*.f64 #s(literal 1 binary64) (-.f64 z x))
(*.f64 (*.f64 (-.f64 z x) (+.f64 x z)) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
(*.f64 (+.f64 x z) (*.f64 (-.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 x z))))
(*.f64 (+.f64 x z) (/.f64 (-.f64 z x) (+.f64 x z)))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z)))))
(*.f64 (*.f64 (+.f64 x z) (-.f64 #s(literal 0 binary64) (-.f64 z x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x z))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (*.f64 (-.f64 z x) (+.f64 x z)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) (+.f64 x z))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 z x) (+.f64 x z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (fma.f64 x (-.f64 x z) (*.f64 z z)))
(*.f64 (/.f64 (*.f64 (-.f64 z x) (+.f64 x z)) (*.f64 (-.f64 z x) (+.f64 x z))) (-.f64 z x))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 z (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z z)) (*.f64 (*.f64 x (+.f64 x z)) (*.f64 (*.f64 x (+.f64 x z)) (*.f64 x (+.f64 x z)))))) (fma.f64 z (*.f64 z (*.f64 z z)) (*.f64 (*.f64 x (+.f64 x z)) (-.f64 (*.f64 x (+.f64 x z)) (*.f64 z z)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 (*.f64 z z) (*.f64 x (+.f64 x z))))) (-.f64 (*.f64 z z) (*.f64 x (+.f64 x z))))
(*.f64 (pow.f64 (/.f64 (+.f64 x z) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z z)))))
(*.f64 (pow.f64 (/.f64 (+.f64 x z) (*.f64 (fma.f64 x x (*.f64 z z)) (*.f64 (-.f64 z x) (+.f64 x z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 z z))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)) (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
(+.f64 (*.f64 y z) (*.f64 y (-.f64 #s(literal 0 binary64) x)))
(+.f64 (*.f64 y (-.f64 #s(literal 0 binary64) x)) (*.f64 y z))
(exp.f64 (log.f64 (*.f64 y (-.f64 z x))))
(exp.f64 (*.f64 (log.f64 (*.f64 y (-.f64 z x))) #s(literal 1 binary64)))
(fma.f64 y z (*.f64 y (-.f64 #s(literal 0 binary64) x)))
(fma.f64 y (-.f64 #s(literal 0 binary64) x) (*.f64 y z))
(fma.f64 z y (*.f64 y (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) y (*.f64 y z))
(fma.f64 #s(literal -1 binary64) (*.f64 x y) (*.f64 y z))
(fma.f64 (*.f64 y #s(literal -1 binary64)) x (*.f64 y z))
(/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x z) (*.f64 (+.f64 x z) (*.f64 y (-.f64 z x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (*.f64 y (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))))
(/.f64 (*.f64 (+.f64 x z) (*.f64 y (-.f64 z x))) (+.f64 x z))
(/.f64 (*.f64 y (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (fma.f64 x (+.f64 x z) (*.f64 z z)))
(/.f64 (neg.f64 (*.f64 (+.f64 x z) (*.f64 y (-.f64 z x)))) (-.f64 #s(literal 0 binary64) (+.f64 x z)))
(/.f64 (neg.f64 (*.f64 y (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))))
(/.f64 (fma.f64 (*.f64 z (*.f64 z z)) (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 y z) (*.f64 y z) (-.f64 (*.f64 (*.f64 x x) (*.f64 y y)) (*.f64 (*.f64 y z) (*.f64 y (-.f64 #s(literal 0 binary64) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 (*.f64 x x) (*.f64 y y))) (-.f64 (*.f64 y z) (*.f64 y (-.f64 #s(literal 0 binary64) x))))
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))))
(/.f64 (*.f64 y (*.f64 (+.f64 x z) (-.f64 #s(literal 0 binary64) (-.f64 z x)))) (-.f64 #s(literal 0 binary64) (+.f64 x z)))
(/.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) y) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))))
(/.f64 (*.f64 (*.f64 (+.f64 x z) (-.f64 #s(literal 0 binary64) (-.f64 z x))) y) (-.f64 #s(literal 0 binary64) (+.f64 x z)))
(/.f64 (exp.f64 (log.f64 (*.f64 (+.f64 x z) (*.f64 y (-.f64 z x))))) (exp.f64 (log.f64 (+.f64 x z))))
(/.f64 (exp.f64 (log.f64 (*.f64 y (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))) (exp.f64 (log.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)))))
(pow.f64 (*.f64 y (-.f64 z x)) #s(literal 1 binary64))
(pow.f64 (/.f64 (+.f64 x z) (*.f64 (+.f64 x z) (*.f64 y (-.f64 z x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (*.f64 y (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) #s(literal -1 binary64))
(*.f64 y (-.f64 z x))
(*.f64 (-.f64 z x) y)
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))) y))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (/.f64 y (fma.f64 x (+.f64 x z) (*.f64 z z))))
(*.f64 (*.f64 (-.f64 z x) (+.f64 x z)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) y))
(*.f64 (*.f64 (-.f64 z x) (+.f64 x z)) (/.f64 y (+.f64 x z)))
(*.f64 (*.f64 (+.f64 x z) (*.f64 y (-.f64 z x))) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
(*.f64 (*.f64 y (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))))
(*.f64 (/.f64 (*.f64 (+.f64 x z) (*.f64 y (-.f64 z x))) (*.f64 (-.f64 z x) (+.f64 x z))) (-.f64 z x))
(*.f64 (/.f64 (*.f64 (+.f64 x z) (*.f64 y (-.f64 z x))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (fma.f64 x (-.f64 x z) (*.f64 z z)))
(*.f64 (/.f64 (*.f64 y (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (fma.f64 z (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z z)) (*.f64 (*.f64 x (+.f64 x z)) (*.f64 (*.f64 x (+.f64 x z)) (*.f64 x (+.f64 x z)))))) (fma.f64 z (*.f64 z (*.f64 z z)) (*.f64 (*.f64 x (+.f64 x z)) (-.f64 (*.f64 x (+.f64 x z)) (*.f64 z z)))))
(*.f64 (/.f64 (*.f64 y (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 (*.f64 z z) (*.f64 x (+.f64 x z))))) (-.f64 (*.f64 z z) (*.f64 x (+.f64 x z))))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (-.f64 z x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 z x) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (pow.f64 (/.f64 y (fma.f64 x (+.f64 x z) (*.f64 z z))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 z x) (+.f64 x z)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 z x) (+.f64 x z)) #s(literal 1 binary64)) (pow.f64 (/.f64 y (+.f64 x z)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (+.f64 x z) (*.f64 y (-.f64 z x))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 y (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x z) (*.f64 z z))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 x z) (*.f64 y (-.f64 z x))) (*.f64 (-.f64 z x) (+.f64 x z))) #s(literal 1 binary64)) (pow.f64 (-.f64 z x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 x z) (*.f64 y (-.f64 z x))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (-.f64 x z) (*.f64 z z)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 y (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (fma.f64 z (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z z)) (*.f64 (*.f64 x (+.f64 x z)) (*.f64 (*.f64 x (+.f64 x z)) (*.f64 x (+.f64 x z)))))) #s(literal 1 binary64)) (pow.f64 (fma.f64 z (*.f64 z (*.f64 z z)) (*.f64 (*.f64 x (+.f64 x z)) (-.f64 (*.f64 x (+.f64 x z)) (*.f64 z z)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 y (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (*.f64 (fma.f64 x (+.f64 x z) (*.f64 z z)) (-.f64 (*.f64 z z) (*.f64 x (+.f64 x z))))) #s(literal 1 binary64)) (pow.f64 (-.f64 (*.f64 z z) (*.f64 x (+.f64 x z))) #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 (-.f64 z x))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (-.f64 z x))))

simplify266.0ms (2.5%)

Memory
-8.8MiB live, 339.9MiB allocated
Algorithm
1×egg-herbie
Rules
7 428×accelerator-lowering-fma.f32
7 428×accelerator-lowering-fma.f64
2 496×*-lowering-*.f32
2 496×*-lowering-*.f64
1 468×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0106910
1346796
21046742
33277742
45772742
57672742
08070688
Stop Event
1×iter limit
1×node limit
Counts
132 → 132
Calls
Call 1
Inputs
(* y z)
(+ (* x (+ 1 (* -1 y))) (* y z))
(+ (* x (+ 1 (* -1 y))) (* y z))
(+ (* x (+ 1 (* -1 y))) (* y z))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(* -1 (* x (- y 1)))
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
x
(+ x (* y (- z x)))
(+ x (* y (- z x)))
(+ x (* y (- z x)))
(* y (- z x))
(* y (- (+ z (/ x y)) x))
(* y (- (+ z (/ x y)) x))
(* y (- (+ z (/ x y)) x))
(* y (- z x))
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(+ x (* -1 (* x y)))
(+ x (+ (* -1 (* x y)) (* y z)))
(+ x (+ (* -1 (* x y)) (* y z)))
(+ x (+ (* -1 (* x y)) (* y z)))
(* y z)
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
y
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(/ (* x (+ 1 (* -1 y))) z)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(* -1 (/ (* x (- y 1)) z))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(/ x z)
(+ (* y (- 1 (/ x z))) (/ x z))
(+ (* y (- 1 (/ x z))) (/ x z))
(+ (* y (- 1 (/ x z))) (/ x z))
(/ (* y (- z x)) z)
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(/ (* y (- z x)) z)
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(/ (+ x (* -1 (* x y))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
y
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
y
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(* -1 x)
(- z x)
(- z x)
(- z x)
z
(* z (+ 1 (* -1 (/ x z))))
(* z (+ 1 (* -1 (/ x z))))
(* z (+ 1 (* -1 (/ x z))))
z
(* -1 (* z (- (/ x z) 1)))
(* -1 (* z (- (/ x z) 1)))
(* -1 (* z (- (/ x z) 1)))
z
(+ z (* -1 x))
(+ z (* -1 x))
(+ z (* -1 x))
(* -1 x)
(* x (- (/ z x) 1))
(* x (- (/ z x) 1))
(* x (- (/ z x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(* -1 (* x (+ 1 (* -1 (/ 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))
(* -1 (* x y))
(+ (* -1 (* x y)) (* y z))
(+ (* -1 (* x y)) (* y z))
(+ (* -1 (* x y)) (* y z))
(* y z)
(* z (+ y (* -1 (/ (* x y) z))))
(* z (+ y (* -1 (/ (* x y) z))))
(* z (+ y (* -1 (/ (* x y) z))))
(* y z)
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(* y z)
(+ (* -1 (* x y)) (* y z))
(+ (* -1 (* x y)) (* y z))
(+ (* -1 (* x y)) (* y z))
(* -1 (* x y))
(* x (+ (* -1 y) (/ (* y z) x)))
(* x (+ (* -1 y) (/ (* y z) x)))
(* x (+ (* -1 y) (/ (* y z) x)))
(* -1 (* x y))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
Outputs
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(+ (* x (+ 1 (* -1 y))) (* y z))
(fma.f64 y (-.f64 z x) x)
(+ (* x (+ 1 (* -1 y))) (* y z))
(fma.f64 y (-.f64 z x) x)
(+ (* x (+ 1 (* -1 y))) (* y z))
(fma.f64 y (-.f64 z x) x)
(* x (+ 1 (* -1 y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(fma.f64 y (-.f64 z x) x)
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(fma.f64 y (-.f64 z x) x)
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(fma.f64 y (-.f64 z x) x)
(* -1 (* x (- y 1)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(fma.f64 y (-.f64 z x) x)
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(fma.f64 y (-.f64 z x) x)
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(fma.f64 y (-.f64 z x) x)
x
(+ x (* y (- z x)))
(fma.f64 y (-.f64 z x) x)
(+ x (* y (- z x)))
(fma.f64 y (-.f64 z x) x)
(+ x (* y (- z x)))
(fma.f64 y (-.f64 z x) x)
(* y (- z x))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* y (- (+ z (/ x y)) x))
(fma.f64 y (-.f64 z x) x)
(* y (- (+ z (/ x y)) x))
(fma.f64 y (-.f64 z x) x)
(* y (- (+ z (/ x y)) x))
(fma.f64 y (-.f64 z x) x)
(* y (- z x))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(fma.f64 y (-.f64 z x) x)
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(fma.f64 y (-.f64 z x) x)
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(fma.f64 y (-.f64 z x) x)
(+ x (* -1 (* x y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(+ x (+ (* -1 (* x y)) (* y z)))
(fma.f64 y (-.f64 z x) x)
(+ x (+ (* -1 (* x y)) (* y z)))
(fma.f64 y (-.f64 z x) x)
(+ x (+ (* -1 (* x y)) (* y z)))
(fma.f64 y (-.f64 z x) x)
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(fma.f64 y (-.f64 z x) x)
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(fma.f64 y (-.f64 z x) x)
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(fma.f64 y (-.f64 z x) x)
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(fma.f64 y (-.f64 z x) x)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(fma.f64 y (-.f64 z x) x)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(fma.f64 y (-.f64 z x) x)
y
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(/ (* x (+ 1 (* -1 y))) z)
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) #s(literal 0 binary64))
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* -1 (/ (* x (- y 1)) z))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) #s(literal 0 binary64))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(/ x z)
(/.f64 x z)
(+ (* y (- 1 (/ x z))) (/ x z))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ (* y (- 1 (/ x z))) (/ x z))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ (* y (- 1 (/ x z))) (/ x z))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(/ (* y (- z x)) z)
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 0 binary64))
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(/ (* y (- z x)) z)
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(/ (+ x (* -1 (* x y))) z)
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) #s(literal 0 binary64))
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
y
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
y
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(- z x)
(-.f64 z x)
(- z x)
(-.f64 z x)
(- z x)
(-.f64 z x)
z
(* z (+ 1 (* -1 (/ x z))))
(-.f64 z x)
(* z (+ 1 (* -1 (/ x z))))
(-.f64 z x)
(* z (+ 1 (* -1 (/ x z))))
(-.f64 z x)
z
(* -1 (* z (- (/ x z) 1)))
(-.f64 z x)
(* -1 (* z (- (/ x z) 1)))
(-.f64 z x)
(* -1 (* z (- (/ x z) 1)))
(-.f64 z x)
z
(+ z (* -1 x))
(-.f64 z x)
(+ z (* -1 x))
(-.f64 z x)
(+ z (* -1 x))
(-.f64 z x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ z x) 1))
(-.f64 z x)
(* x (- (/ z x) 1))
(-.f64 z x)
(* x (- (/ z x) 1))
(-.f64 z x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(-.f64 z x)
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(-.f64 z x)
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(-.f64 z x)
(* y (- z x))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* y (- z x))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* y (- z x))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* y (- z x))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* y (- z x))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* y (- z x))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* y (- z x))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* y (- z x))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* y (- z x))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* y (- z x))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* y (- z x))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* y (- z x))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64)))
(+ (* -1 (* x y)) (* y z))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(+ (* -1 (* x y)) (* y z))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(+ (* -1 (* x y)) (* y z))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* z (+ y (* -1 (/ (* x y) z))))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* z (+ y (* -1 (/ (* x y) z))))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* z (+ y (* -1 (/ (* x y) z))))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(+ (* -1 (* x y)) (* y z))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(+ (* -1 (* x y)) (* y z))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(+ (* -1 (* x y)) (* y z))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64)))
(* x (+ (* -1 y) (/ (* y z) x)))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* x (+ (* -1 y) (/ (* y z) x)))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* x (+ (* -1 y) (/ (* y z) x)))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64)))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))

eval63.0ms (0.6%)

Memory
-8.2MiB live, 136.5MiB allocated
Compiler

Compiled 13 833 to 1 318 computations (90.5% saved)

prune111.0ms (1%)

Memory
-19.7MiB live, 139.7MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New49312505
Fresh000
Picked101
Done000
Total49412506
Accuracy
100.0%
Counts
506 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
▶87.1%
(/.f64 (fma.f64 (-.f64 z x) y x) z)
56.8%
(/.f64 (fma.f64 (*.f64 (-.f64 z x) (+.f64 x z)) (/.f64 y (+.f64 x z)) x) z)
▶30.8%
(/.f64 (fma.f64 y z #s(literal 0 binary64)) z)
86.7%
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 z x) x)))
87.0%
(/.f64 (+.f64 x (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 z x)))) z)
70.0%
(/.f64 (+.f64 x (*.f64 y z)) z)
42.0%
(/.f64 x z)
▶86.8%
(/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 y (-.f64 z x) x)))
86.8%
(*.f64 (fma.f64 y (-.f64 z x) x) (/.f64 #s(literal 1 binary64) z))
43.5%
(*.f64 (*.f64 (fma.f64 y (-.f64 z x) x) (fma.f64 y (-.f64 #s(literal 0 binary64) (-.f64 z x)) x)) (/.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 y (-.f64 #s(literal 0 binary64) (-.f64 z x)) x))))
▶41.3%
y
Compiler

Compiled 312 to 176 computations (43.6% saved)

simplify491.0ms (4.6%)

Memory
19.7MiB live, 456.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 z x)
✓cost-diff0
(fma.f64 y (-.f64 z x) x)
✓cost-diff0
(/.f64 z (fma.f64 y (-.f64 z x) x))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 y (-.f64 z x) x)))
✓cost-diff0
(-.f64 z x)
✓cost-diff0
(fma.f64 (-.f64 z x) y x)
✓cost-diff0
(/.f64 (fma.f64 (-.f64 z x) y x) z)
✓cost-diff0
(fma.f64 y z #s(literal 0 binary64))
✓cost-diff1088
(/.f64 (fma.f64 y z #s(literal 0 binary64)) z)
✓cost-diff0
(/.f64 x z)
✓cost-diff0
(-.f64 #s(literal 1 binary64) y)
✓cost-diff0
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
Rules
9 020×accelerator-lowering-fma.f32
9 020×accelerator-lowering-fma.f64
3 578×*-lowering-*.f32
3 578×*-lowering-*.f64
1 296×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02081
13781
27281
317481
442081
593381
6218481
7419781
8613581
9757281
0808475
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (- 1 y) (/ x z)) y)
(- 1 y)
1
y
(/ x z)
x
z
y
(/ (+ (* y z) 0) z)
(+ (* y z) 0)
y
z
0
(/ (+ (* (- z x) y) x) z)
(+ (* (- z x) y) x)
(- z x)
z
x
y
(/ 1 (/ z (+ (* y (- z x)) x)))
1
(/ z (+ (* y (- z x)) x))
z
(+ (* y (- z x)) x)
y
(- z x)
x
Outputs
(+ (* (- 1 y) (/ x z)) y)
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(/ x z)
(/.f64 x z)
x
z
y
(/ (+ (* y z) 0) z)
y
(+ (* y z) 0)
(fma.f64 y z #s(literal 0 binary64))
y
z
0
#s(literal 0 binary64)
(/ (+ (* (- z x) y) x) z)
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(+ (* (- z x) y) x)
(fma.f64 y (-.f64 z x) x)
(- z x)
(-.f64 z x)
z
x
y
(/ 1 (/ z (+ (* y (- z x)) x)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
1
#s(literal 1 binary64)
(/ z (+ (* y (- z x)) x))
(/.f64 z (fma.f64 y (-.f64 z x) x))
z
(+ (* y (- z x)) x)
(fma.f64 y (-.f64 z x) x)
y
(- z x)
(-.f64 z x)
x

localize67.0ms (0.6%)

Memory
-0.1MiB live, 155.4MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 z x)
✓accuracy100.0%
(fma.f64 y (-.f64 z x) x)
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 y (-.f64 z x) x)))
✓accuracy87.0%
(/.f64 z (fma.f64 y (-.f64 z x) x))
✓accuracy100.0%
(-.f64 z x)
✓accuracy100.0%
(fma.f64 (-.f64 z x) y x)
✓accuracy87.1%
(/.f64 (fma.f64 (-.f64 z x) y x) z)
✓accuracy100.0%
(fma.f64 y z #s(literal 0 binary64))
✓accuracy73.3%
(/.f64 (fma.f64 y z #s(literal 0 binary64)) z)
✓accuracy100.0%
(/.f64 x z)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) y)
✓accuracy99.9%
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
Samples
46.0ms256×0valid
Compiler

Compiled 85 to 22 computations (74.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-div: 16.0ms (50.6% of total)
ival-mult: 8.0ms (25.3% of total)
ival-add: 4.0ms (12.7% of total)
ival-sub: 3.0ms (9.5% 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
11.1MiB live, 50.0MiB allocated
Counts
11 → 324
Calls
Call 1
Inputs
#<alt (+ (* (- 1 y) (/ x z)) y)>
#<alt (- 1 y)>
#<alt (/ x z)>
#<alt (/ (+ (* y z) 0) z)>
#<alt (+ (* y z) 0)>
#<alt (/ (+ (* (- z x) y) x) z)>
#<alt (+ (* (- z x) y) x)>
#<alt (- z x)>
#<alt (/ 1 (/ z (+ (* y (- z x)) x)))>
#<alt (/ z (+ (* y (- z x)) x))>
#<alt (+ (* y (- z x)) x)>
Outputs
#<alt (/ x z)>
#<alt (+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))>
#<alt (+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))>
#<alt (+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))>
#<alt (* y (+ 1 (* -1 (/ x z))))>
#<alt (* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))>
#<alt (* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))>
#<alt (* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))>
#<alt (* -1 (* y (- (/ x z) 1)))>
#<alt (* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))>
#<alt (* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))>
#<alt (* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))>
#<alt y>
#<alt (+ y (* x (- (/ 1 z) (/ y z))))>
#<alt (+ y (* x (- (/ 1 z) (/ y z))))>
#<alt (+ y (* x (- (/ 1 z) (/ y z))))>
#<alt (* x (- (/ 1 z) (/ y z)))>
#<alt (* x (- (+ (/ 1 z) (/ y x)) (/ y z)))>
#<alt (* x (- (+ (/ 1 z) (/ y x)) (/ y z)))>
#<alt (* x (- (+ (/ 1 z) (/ y x)) (/ y z)))>
#<alt (/ (* x (- 1 y)) z)>
#<alt (* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))>
#<alt (* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))>
#<alt (* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))>
#<alt (/ (* x (- 1 y)) z)>
#<alt (/ (+ (* x (- 1 y)) (* y z)) z)>
#<alt (/ (+ (* x (- 1 y)) (* y z)) z)>
#<alt (/ (+ (* x (- 1 y)) (* y z)) z)>
#<alt y>
#<alt (+ y (/ (* x (- 1 y)) z))>
#<alt (+ y (/ (* x (- 1 y)) z))>
#<alt (+ y (/ (* x (- 1 y)) z))>
#<alt y>
#<alt (+ y (/ (* x (- 1 y)) z))>
#<alt (+ y (/ (* x (- 1 y)) z))>
#<alt (+ y (/ (* x (- 1 y)) z))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<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 y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<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 (* -1 (* x y))) z)>
#<alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z)>
#<alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z)>
#<alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z)>
#<alt y>
#<alt (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))>
#<alt (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))>
#<alt (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))>
#<alt y>
#<alt (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))>
#<alt (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))>
#<alt (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))>
#<alt y>
#<alt (+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))>
#<alt (+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))>
#<alt (+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))>
#<alt (/ (* x (+ 1 (* -1 y))) z)>
#<alt (* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))>
#<alt (* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))>
#<alt (* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))>
#<alt (* -1 (/ (* x (- y 1)) z))>
#<alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))>
#<alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))>
#<alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))>
#<alt (/ x z)>
#<alt (+ (* y (- 1 (/ x z))) (/ x z))>
#<alt (+ (* y (- 1 (/ x z))) (/ x z))>
#<alt (+ (* y (- 1 (/ x z))) (/ x z))>
#<alt (/ (* y (- z x)) z)>
#<alt (* y (- (+ 1 (/ x (* y z))) (/ x z)))>
#<alt (* y (- (+ 1 (/ x (* y z))) (/ x z)))>
#<alt (* y (- (+ 1 (/ x (* y z))) (/ x z)))>
#<alt (/ (* y (- z x)) z)>
#<alt (* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))>
#<alt (* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))>
#<alt (* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))>
#<alt (+ x (* -1 (* x y)))>
#<alt (+ x (+ (* -1 (* x y)) (* y z)))>
#<alt (+ x (+ (* -1 (* x y)) (* y z)))>
#<alt (+ x (+ (* -1 (* x y)) (* y z)))>
#<alt (* y z)>
#<alt (* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))>
#<alt (* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))>
#<alt (* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))>
#<alt (* y z)>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))>
#<alt (* y z)>
#<alt (+ (* x (+ 1 (* -1 y))) (* y z))>
#<alt (+ (* x (+ 1 (* -1 y))) (* y z))>
#<alt (+ (* x (+ 1 (* -1 y))) (* y z))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (+ (* -1 y) (/ (* y z) x))))>
#<alt (* x (+ 1 (+ (* -1 y) (/ (* y z) x))))>
#<alt (* x (+ 1 (+ (* -1 y) (/ (* y z) x))))>
#<alt (* -1 (* x (- y 1)))>
#<alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))>
#<alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))>
#<alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))>
#<alt x>
#<alt (+ x (* y (- z x)))>
#<alt (+ x (* y (- z x)))>
#<alt (+ x (* y (- z x)))>
#<alt (* y (- z x))>
#<alt (* y (- (+ z (/ x y)) x))>
#<alt (* y (- (+ z (/ x y)) x))>
#<alt (* y (- (+ z (/ x y)) x))>
#<alt (* y (- z x))>
#<alt (* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))>
#<alt (* -1 x)>
#<alt (- z x)>
#<alt (- z x)>
#<alt (- z x)>
#<alt z>
#<alt (* z (+ 1 (* -1 (/ x z))))>
#<alt (* z (+ 1 (* -1 (/ x z))))>
#<alt (* z (+ 1 (* -1 (/ x z))))>
#<alt z>
#<alt (* -1 (* z (- (/ x z) 1)))>
#<alt (* -1 (* z (- (/ x z) 1)))>
#<alt (* -1 (* z (- (/ x z) 1)))>
#<alt z>
#<alt (+ z (* -1 x))>
#<alt (+ z (* -1 x))>
#<alt (+ z (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ z x) 1))>
#<alt (* x (- (/ z x) 1))>
#<alt (* x (- (/ z x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ z x)))))>
#<alt (/ (+ x (* -1 (* x y))) z)>
#<alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z)>
#<alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z)>
#<alt (/ (+ x (+ (* -1 (* x y)) (* y z))) z)>
#<alt y>
#<alt (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))>
#<alt (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))>
#<alt (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))>
#<alt y>
#<alt (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))>
#<alt (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))>
#<alt (+ y (+ (* -1 (/ (* x y) z)) (/ x z)))>
#<alt (/ x z)>
#<alt (+ (* y (- 1 (/ x z))) (/ x z))>
#<alt (+ (* y (- 1 (/ x z))) (/ x z))>
#<alt (+ (* y (- 1 (/ x z))) (/ x z))>
#<alt (/ (* y (- z x)) z)>
#<alt (* y (- (+ 1 (/ x (* y z))) (/ x z)))>
#<alt (* y (- (+ 1 (/ x (* y z))) (/ x z)))>
#<alt (* y (- (+ 1 (/ x (* y z))) (/ x z)))>
#<alt (/ (* y (- z x)) z)>
#<alt (* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))>
#<alt (* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))>
#<alt (* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))>
#<alt y>
#<alt (+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))>
#<alt (+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))>
#<alt (+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))>
#<alt (/ (* x (+ 1 (* -1 y))) z)>
#<alt (* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))>
#<alt (* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))>
#<alt (* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))>
#<alt (* -1 (/ (* x (- y 1)) z))>
#<alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))>
#<alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))>
#<alt (* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))>
#<alt (/ z (+ x (* -1 (* x y))))>
#<alt (* z (+ (* -1 (/ (* y z) (pow (+ x (* -1 (* x y))) 2))) (/ 1 (+ x (* -1 (* x y))))))>
#<alt (* z (+ (* z (- (/ (* (pow y 2) z) (pow (+ x (* -1 (* x y))) 3)) (/ y (pow (+ x (* -1 (* x y))) 2)))) (/ 1 (+ x (* -1 (* x y))))))>
#<alt (* z (+ (* z (- (* z (- (* -1 (/ (* (pow y 3) z) (pow (+ x (* -1 (* x y))) 4))) (* -1 (/ (pow y 2) (pow (+ x (* -1 (* x y))) 3))))) (/ y (pow (+ x (* -1 (* x y))) 2)))) (/ 1 (+ x (* -1 (* x y))))))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ (+ (* -1 (/ x y)) (/ x (pow y 2))) z)) (/ 1 y))>
#<alt (- (+ (/ 1 y) (/ (* (+ x (* -1 (* x y))) (+ (* -1 (/ x y)) (/ x (pow y 2)))) (* y (pow z 2)))) (+ (* -1 (/ x (* y z))) (/ x (* (pow y 2) z))))>
#<alt (- (+ (* -1 (/ (* (pow (+ x (* -1 (* x y))) 2) (+ (* -1 (/ x y)) (/ x (pow y 2)))) (* (pow y 2) (pow z 3)))) (/ 1 y)) (+ (* -1 (/ x (* y z))) (+ (* -1 (/ (* (+ x (* -1 (* x y))) (+ (* -1 (/ x y)) (/ x (pow y 2)))) (* y (pow z 2)))) (/ x (* (pow y 2) z)))))>
#<alt (/ 1 y)>
#<alt (+ (* -1 (/ (+ x (* -1 (* x y))) (* (pow y 2) z))) (/ 1 y))>
#<alt (+ (* -1 (/ (- (* -1 (/ (pow (+ x (* -1 (* x y))) 2) (* (pow y 3) z))) (* -1 (/ (+ x (* -1 (* x y))) (pow y 2)))) z)) (/ 1 y))>
#<alt (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ x (* -1 (* x y))) 3) (* (pow y 4) z))) (* -1 (/ (pow (+ x (* -1 (* x y))) 2) (pow y 3)))) z)) (* -1 (/ (+ x (* -1 (* x y))) (pow y 2)))) z)) (/ 1 y))>
#<alt (/ z x)>
#<alt (+ (* -1 (/ (* y (* z (- z x))) (pow x 2))) (/ z x))>
#<alt (+ (* y (- (/ (* y (* z (pow (- z x) 2))) (pow x 3)) (/ (* z (- z x)) (pow x 2)))) (/ z x))>
#<alt (+ (* y (- (* y (- (* -1 (/ (* y (* z (pow (- z x) 3))) (pow x 4))) (* -1 (/ (* z (pow (- z x) 2)) (pow x 3))))) (/ (* z (- z x)) (pow x 2)))) (/ z x))>
#<alt (/ z (* y (- z x)))>
#<alt (/ (+ (* -1 (/ (* x z) (* y (pow (- z x) 2)))) (/ z (- z x))) y)>
#<alt (/ (- (+ (/ z (- z x)) (/ (* (pow x 2) z) (* (pow y 2) (pow (- z x) 3)))) (/ (* x z) (* y (pow (- z x) 2)))) y)>
#<alt (/ (- (+ (* -1 (/ (* (pow x 3) z) (* (pow y 3) (pow (- z x) 4)))) (/ z (- z x))) (+ (* -1 (/ (* (pow x 2) z) (* (pow y 2) (pow (- z x) 3)))) (/ (* x z) (* y (pow (- z x) 2))))) y)>
#<alt (/ z (* y (- z x)))>
#<alt (* -1 (/ (+ (* -1 (/ z (- z x))) (/ (* x z) (* y (pow (- z x) 2)))) y))>
#<alt (* -1 (/ (+ (* -1 (/ z (- z x))) (* -1 (/ (- (/ (* (pow x 2) z) (* y (pow (- z x) 3))) (/ (* x z) (pow (- z x) 2))) y))) y))>
#<alt (* -1 (/ (+ (* -1 (/ z (- z x))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) z) (* y (pow (- z x) 4))) (/ (* (pow x 2) z) (pow (- z x) 3))) y)) (/ (* x z) (pow (- z x) 2))) y))) y))>
#<alt (/ 1 y)>
#<alt (+ (* x (- (/ 1 (* y z)) (/ 1 (* (pow y 2) z)))) (/ 1 y))>
#<alt (+ (* x (- (+ (* -1 (/ (* x (* (+ 1 (* -1 y)) (- (/ 1 (* y z)) (/ 1 (* (pow y 2) z))))) (* y z))) (/ 1 (* y z))) (/ 1 (* (pow y 2) z)))) (/ 1 y))>
#<alt (+ (* x (- (+ (* x (- (/ (* x (* (pow (+ 1 (* -1 y)) 2) (- (/ 1 (* y z)) (/ 1 (* (pow y 2) z))))) (* (pow y 2) (pow z 2))) (/ (* (+ 1 (* -1 y)) (- (/ 1 (* y z)) (/ 1 (* (pow y 2) z)))) (* y z)))) (/ 1 (* y z))) (/ 1 (* (pow y 2) z)))) (/ 1 y))>
#<alt (/ z (* x (+ 1 (* -1 y))))>
#<alt (/ (+ (* -1 (/ (* y (pow z 2)) (* x (pow (+ 1 (* -1 y)) 2)))) (/ z (+ 1 (* -1 y)))) x)>
#<alt (/ (- (+ (/ z (+ 1 (* -1 y))) (/ (* (pow y 2) (pow z 3)) (* (pow x 2) (pow (+ 1 (* -1 y)) 3)))) (/ (* y (pow z 2)) (* x (pow (+ 1 (* -1 y)) 2)))) x)>
#<alt (/ (- (+ (* -1 (/ (* (pow y 3) (pow z 4)) (* (pow x 3) (pow (+ 1 (* -1 y)) 4)))) (/ z (+ 1 (* -1 y)))) (+ (* -1 (/ (* (pow y 2) (pow z 3)) (* (pow x 2) (pow (+ 1 (* -1 y)) 3)))) (/ (* y (pow z 2)) (* x (pow (+ 1 (* -1 y)) 2))))) x)>
#<alt (* -1 (/ z (* x (- y 1))))>
#<alt (* -1 (/ (+ (/ z (- y 1)) (/ (* y (pow z 2)) (* x (pow (- y 1) 2)))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow y 2) (pow z 3)) (* x (pow (- y 1) 3)))) (/ (* y (pow z 2)) (pow (- y 1) 2))) x)) (/ z (- y 1))) x))>
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 4)) (* x (pow (- y 1) 4))) (* -1 (/ (* (pow y 2) (pow z 3)) (pow (- y 1) 3)))) x)) (/ (* y (pow z 2)) (pow (- y 1) 2))) x)) (/ z (- y 1))) x))>
#<alt x>
#<alt (+ x (* y (- z x)))>
#<alt (+ x (* y (- z x)))>
#<alt (+ x (* y (- z x)))>
#<alt (* y (- z x))>
#<alt (* y (- (+ z (/ x y)) x))>
#<alt (* y (- (+ z (/ x y)) x))>
#<alt (* y (- (+ z (/ x y)) x))>
#<alt (* y (- z x))>
#<alt (* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))>
#<alt (+ x (* -1 (* x y)))>
#<alt (+ x (+ (* -1 (* x y)) (* y z)))>
#<alt (+ x (+ (* -1 (* x y)) (* y z)))>
#<alt (+ x (+ (* -1 (* x y)) (* y z)))>
#<alt (* y z)>
#<alt (* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))>
#<alt (* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))>
#<alt (* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))>
#<alt (* y z)>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))>
#<alt (* y z)>
#<alt (+ (* x (+ 1 (* -1 y))) (* y z))>
#<alt (+ (* x (+ 1 (* -1 y))) (* y z))>
#<alt (+ (* x (+ 1 (* -1 y))) (* y z))>
#<alt (* x (+ 1 (* -1 y)))>
#<alt (* x (+ 1 (+ (* -1 y) (/ (* y z) x))))>
#<alt (* x (+ 1 (+ (* -1 y) (/ (* y z) x))))>
#<alt (* x (+ 1 (+ (* -1 y) (/ (* y z) x))))>
#<alt (* -1 (* x (- y 1)))>
#<alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))>
#<alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))>
#<alt (* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))>
Calls

81 calls:

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

rewrite742.0ms (6.9%)

Memory
16.9MiB live, 1 003.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
13 152×accelerator-lowering-fma.f32
13 152×accelerator-lowering-fma.f64
5 640×*-lowering-*.f32
5 640×*-lowering-*.f64
3 282×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02067
114167
2105863
0861557
Stop Event
1×iter limit
1×node limit
Counts
11 → 1 541
Calls
Call 1
Inputs
(+ (* (- 1 y) (/ x z)) y)
(- 1 y)
(/ x z)
(/ (+ (* y z) 0) z)
(+ (* y z) 0)
(/ (+ (* (- z x) y) x) z)
(+ (* (- z x) y) x)
(- z x)
(/ 1 (/ z (+ (* y (- z x)) x)))
(/ z (+ (* y (- z x)) x))
(+ (* y (- z x)) x)
Outputs
(+.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
(+.f64 (/.f64 x z) (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x z) y))
(+.f64 (/.f64 x z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 0 binary64) y) y))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) y)
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (*.f64 z z)) (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) #s(literal 0 binary64)) y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) #s(literal 0 binary64)) y))))
(+.f64 (+.f64 y (/.f64 x z)) (neg.f64 (*.f64 (/.f64 x z) y)))
(+.f64 (+.f64 y (/.f64 x z)) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x z)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (*.f64 z z)) (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) #s(literal 0 binary64)) y)) (/.f64 (*.f64 y y) (-.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) #s(literal 0 binary64)) y)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))) (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (*.f64 z z)) (-.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))))
(fma.f64 #s(literal 1 binary64) y (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x z) y))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 0 binary64) y) y))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)) y)
(fma.f64 y #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
(fma.f64 y (/.f64 (fma.f64 y z #s(literal 0 binary64)) (fma.f64 y z #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
(fma.f64 y (/.f64 (fma.f64 y (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y (fma.f64 y (*.f64 z z) #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
(fma.f64 y (*.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 #s(literal -1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(fma.f64 x (/.f64 #s(literal 1 binary64) z) (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x z) y))
(fma.f64 x (/.f64 #s(literal 1 binary64) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 0 binary64) y) y))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) y)) y)
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x z) y))
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (fma.f64 (/.f64 x z) (-.f64 #s(literal 0 binary64) y) y))
(fma.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) z)) y)
(fma.f64 z (/.f64 y z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
(fma.f64 z (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
(fma.f64 (/.f64 x z) #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x z) y))
(fma.f64 (/.f64 x z) #s(literal 1 binary64) (fma.f64 (/.f64 x z) (-.f64 #s(literal 0 binary64) y) y))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
(fma.f64 (fma.f64 y z #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x z)) (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x z) y))
(fma.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x z)) (fma.f64 (/.f64 x z) (-.f64 #s(literal 0 binary64) y) y))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) z) (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x z) y))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) z) (fma.f64 (/.f64 x z) (-.f64 #s(literal 0 binary64) y) y))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 x z) y))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) (fma.f64 (/.f64 x z) (-.f64 #s(literal 0 binary64) y) y))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 1 binary64) y)) y)
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(*.f64 (*.f64 (fma.f64 y (-.f64 z x) x) (-.f64 (*.f64 y (-.f64 z x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (-.f64 z x)) x)))
(*.f64 (*.f64 (fma.f64 y (-.f64 z x) x) (-.f64 (*.f64 y (-.f64 z x)) x)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (-.f64 z x)) x)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x x (*.f64 (*.f64 y (-.f64 z x)) (-.f64 (*.f64 y (-.f64 z x)) x))) (fma.f64 y (-.f64 z x) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x (*.f64 y (-.f64 z x))) (*.f64 (*.f64 y (-.f64 z x)) (*.f64 y (-.f64 z x)))))))
(*.f64 (*.f64 (fma.f64 y (-.f64 z x) x) (fma.f64 (-.f64 z x) (-.f64 #s(literal 0 binary64) y) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z x) (-.f64 #s(literal 0 binary64) y) x)))
(*.f64 (*.f64 (fma.f64 y (-.f64 z x) x) (-.f64 x (*.f64 y (-.f64 z x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 y (-.f64 z x)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x (*.f64 (*.f64 y (-.f64 z x)) (-.f64 (*.f64 y (-.f64 z x)) x))) (fma.f64 y (-.f64 z x) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y (-.f64 z x))) (*.f64 (*.f64 y (-.f64 z x)) (*.f64 y (-.f64 z x))))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (-.f64 z x) x) (-.f64 (*.f64 y (-.f64 z x)) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (-.f64 z x)) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 z x) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 z x) x)) #s(literal -1/2 binary64)))

simplify664.0ms (6.2%)

Memory
-19.8MiB live, 836.7MiB allocated
Algorithm
1×egg-herbie
Rules
9 274×accelerator-lowering-fma.f32
9 274×accelerator-lowering-fma.f64
6 448×*-lowering-*.f32
6 448×*-lowering-*.f64
2 962×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03703105
111942863
242462836
093462710
Stop Event
1×iter limit
1×node limit
Counts
324 → 324
Calls
Call 1
Inputs
(/ x z)
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))
(* y (+ 1 (* -1 (/ x z))))
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))
(* -1 (* y (- (/ x z) 1)))
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))
y
(+ y (* x (- (/ 1 z) (/ y z))))
(+ y (* x (- (/ 1 z) (/ y z))))
(+ y (* x (- (/ 1 z) (/ y z))))
(* x (- (/ 1 z) (/ y z)))
(* x (- (+ (/ 1 z) (/ y x)) (/ y z)))
(* x (- (+ (/ 1 z) (/ y x)) (/ y z)))
(* x (- (+ (/ 1 z) (/ y x)) (/ y z)))
(/ (* x (- 1 y)) z)
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))
(/ (* x (- 1 y)) z)
(/ (+ (* x (- 1 y)) (* y z)) z)
(/ (+ (* x (- 1 y)) (* y z)) z)
(/ (+ (* x (- 1 y)) (* y z)) z)
y
(+ y (/ (* x (- 1 y)) z))
(+ y (/ (* x (- 1 y)) z))
(+ y (/ (* x (- 1 y)) z))
y
(+ y (/ (* x (- 1 y)) z))
(+ y (/ (* x (- 1 y)) z))
(+ y (/ (* x (- 1 y)) z))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(/ 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)
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
(* 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 (* -1 (* x y))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
y
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
y
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
y
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(/ (* x (+ 1 (* -1 y))) z)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(* -1 (/ (* x (- y 1)) z))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(/ x z)
(+ (* y (- 1 (/ x z))) (/ x z))
(+ (* y (- 1 (/ x z))) (/ x z))
(+ (* y (- 1 (/ x z))) (/ x z))
(/ (* y (- z x)) z)
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(/ (* y (- z x)) z)
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(+ x (* -1 (* x y)))
(+ x (+ (* -1 (* x y)) (* y z)))
(+ x (+ (* -1 (* x y)) (* y z)))
(+ x (+ (* -1 (* x y)) (* y z)))
(* y z)
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(* y z)
(+ (* x (+ 1 (* -1 y))) (* y z))
(+ (* x (+ 1 (* -1 y))) (* y z))
(+ (* x (+ 1 (* -1 y))) (* y z))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(* -1 (* x (- y 1)))
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
x
(+ x (* y (- z x)))
(+ x (* y (- z x)))
(+ x (* y (- z x)))
(* y (- z x))
(* y (- (+ z (/ x y)) x))
(* y (- (+ z (/ x y)) x))
(* y (- (+ z (/ x y)) x))
(* y (- z x))
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(* -1 x)
(- z x)
(- z x)
(- z x)
z
(* z (+ 1 (* -1 (/ x z))))
(* z (+ 1 (* -1 (/ x z))))
(* z (+ 1 (* -1 (/ x z))))
z
(* -1 (* z (- (/ x z) 1)))
(* -1 (* z (- (/ x z) 1)))
(* -1 (* z (- (/ x z) 1)))
z
(+ z (* -1 x))
(+ z (* -1 x))
(+ z (* -1 x))
(* -1 x)
(* x (- (/ z x) 1))
(* x (- (/ z x) 1))
(* x (- (/ z x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(/ (+ x (* -1 (* x y))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
(/ (+ x (+ (* -1 (* x y)) (* y z))) z)
y
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
y
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(+ y (+ (* -1 (/ (* x y) z)) (/ x z)))
(/ x z)
(+ (* y (- 1 (/ x z))) (/ x z))
(+ (* y (- 1 (/ x z))) (/ x z))
(+ (* y (- 1 (/ x z))) (/ x z))
(/ (* y (- z x)) z)
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(* y (- (+ 1 (/ x (* y z))) (/ x z)))
(/ (* y (- z x)) z)
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
(* -1 (* y (+ (* -1 (/ x (* y z))) (* -1 (/ (- z x) z)))))
y
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(+ y (* x (+ (* -1 (/ y z)) (/ 1 z))))
(/ (* x (+ 1 (* -1 y))) z)
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(* x (+ (* -1 (/ y z)) (+ (/ 1 z) (/ y x))))
(* -1 (/ (* x (- y 1)) z))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(* -1 (* x (- (+ (* -1 (/ y x)) (/ y z)) (/ 1 z))))
(/ z (+ x (* -1 (* x y))))
(* z (+ (* -1 (/ (* y z) (pow (+ x (* -1 (* x y))) 2))) (/ 1 (+ x (* -1 (* x y))))))
(* z (+ (* z (- (/ (* (pow y 2) z) (pow (+ x (* -1 (* x y))) 3)) (/ y (pow (+ x (* -1 (* x y))) 2)))) (/ 1 (+ x (* -1 (* x y))))))
(* z (+ (* z (- (* z (- (* -1 (/ (* (pow y 3) z) (pow (+ x (* -1 (* x y))) 4))) (* -1 (/ (pow y 2) (pow (+ x (* -1 (* x y))) 3))))) (/ y (pow (+ x (* -1 (* x y))) 2)))) (/ 1 (+ x (* -1 (* x y))))))
(/ 1 y)
(+ (* -1 (/ (+ (* -1 (/ x y)) (/ x (pow y 2))) z)) (/ 1 y))
(- (+ (/ 1 y) (/ (* (+ x (* -1 (* x y))) (+ (* -1 (/ x y)) (/ x (pow y 2)))) (* y (pow z 2)))) (+ (* -1 (/ x (* y z))) (/ x (* (pow y 2) z))))
(- (+ (* -1 (/ (* (pow (+ x (* -1 (* x y))) 2) (+ (* -1 (/ x y)) (/ x (pow y 2)))) (* (pow y 2) (pow z 3)))) (/ 1 y)) (+ (* -1 (/ x (* y z))) (+ (* -1 (/ (* (+ x (* -1 (* x y))) (+ (* -1 (/ x y)) (/ x (pow y 2)))) (* y (pow z 2)))) (/ x (* (pow y 2) z)))))
(/ 1 y)
(+ (* -1 (/ (+ x (* -1 (* x y))) (* (pow y 2) z))) (/ 1 y))
(+ (* -1 (/ (- (* -1 (/ (pow (+ x (* -1 (* x y))) 2) (* (pow y 3) z))) (* -1 (/ (+ x (* -1 (* x y))) (pow y 2)))) z)) (/ 1 y))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ x (* -1 (* x y))) 3) (* (pow y 4) z))) (* -1 (/ (pow (+ x (* -1 (* x y))) 2) (pow y 3)))) z)) (* -1 (/ (+ x (* -1 (* x y))) (pow y 2)))) z)) (/ 1 y))
(/ z x)
(+ (* -1 (/ (* y (* z (- z x))) (pow x 2))) (/ z x))
(+ (* y (- (/ (* y (* z (pow (- z x) 2))) (pow x 3)) (/ (* z (- z x)) (pow x 2)))) (/ z x))
(+ (* y (- (* y (- (* -1 (/ (* y (* z (pow (- z x) 3))) (pow x 4))) (* -1 (/ (* z (pow (- z x) 2)) (pow x 3))))) (/ (* z (- z x)) (pow x 2)))) (/ z x))
(/ z (* y (- z x)))
(/ (+ (* -1 (/ (* x z) (* y (pow (- z x) 2)))) (/ z (- z x))) y)
(/ (- (+ (/ z (- z x)) (/ (* (pow x 2) z) (* (pow y 2) (pow (- z x) 3)))) (/ (* x z) (* y (pow (- z x) 2)))) y)
(/ (- (+ (* -1 (/ (* (pow x 3) z) (* (pow y 3) (pow (- z x) 4)))) (/ z (- z x))) (+ (* -1 (/ (* (pow x 2) z) (* (pow y 2) (pow (- z x) 3)))) (/ (* x z) (* y (pow (- z x) 2))))) y)
(/ z (* y (- z x)))
(* -1 (/ (+ (* -1 (/ z (- z x))) (/ (* x z) (* y (pow (- z x) 2)))) y))
(* -1 (/ (+ (* -1 (/ z (- z x))) (* -1 (/ (- (/ (* (pow x 2) z) (* y (pow (- z x) 3))) (/ (* x z) (pow (- z x) 2))) y))) y))
(* -1 (/ (+ (* -1 (/ z (- z x))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) z) (* y (pow (- z x) 4))) (/ (* (pow x 2) z) (pow (- z x) 3))) y)) (/ (* x z) (pow (- z x) 2))) y))) y))
(/ 1 y)
(+ (* x (- (/ 1 (* y z)) (/ 1 (* (pow y 2) z)))) (/ 1 y))
(+ (* x (- (+ (* -1 (/ (* x (* (+ 1 (* -1 y)) (- (/ 1 (* y z)) (/ 1 (* (pow y 2) z))))) (* y z))) (/ 1 (* y z))) (/ 1 (* (pow y 2) z)))) (/ 1 y))
(+ (* x (- (+ (* x (- (/ (* x (* (pow (+ 1 (* -1 y)) 2) (- (/ 1 (* y z)) (/ 1 (* (pow y 2) z))))) (* (pow y 2) (pow z 2))) (/ (* (+ 1 (* -1 y)) (- (/ 1 (* y z)) (/ 1 (* (pow y 2) z)))) (* y z)))) (/ 1 (* y z))) (/ 1 (* (pow y 2) z)))) (/ 1 y))
(/ z (* x (+ 1 (* -1 y))))
(/ (+ (* -1 (/ (* y (pow z 2)) (* x (pow (+ 1 (* -1 y)) 2)))) (/ z (+ 1 (* -1 y)))) x)
(/ (- (+ (/ z (+ 1 (* -1 y))) (/ (* (pow y 2) (pow z 3)) (* (pow x 2) (pow (+ 1 (* -1 y)) 3)))) (/ (* y (pow z 2)) (* x (pow (+ 1 (* -1 y)) 2)))) x)
(/ (- (+ (* -1 (/ (* (pow y 3) (pow z 4)) (* (pow x 3) (pow (+ 1 (* -1 y)) 4)))) (/ z (+ 1 (* -1 y)))) (+ (* -1 (/ (* (pow y 2) (pow z 3)) (* (pow x 2) (pow (+ 1 (* -1 y)) 3)))) (/ (* y (pow z 2)) (* x (pow (+ 1 (* -1 y)) 2))))) x)
(* -1 (/ z (* x (- y 1))))
(* -1 (/ (+ (/ z (- y 1)) (/ (* y (pow z 2)) (* x (pow (- y 1) 2)))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow y 2) (pow z 3)) (* x (pow (- y 1) 3)))) (/ (* y (pow z 2)) (pow (- y 1) 2))) x)) (/ z (- y 1))) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 4)) (* x (pow (- y 1) 4))) (* -1 (/ (* (pow y 2) (pow z 3)) (pow (- y 1) 3)))) x)) (/ (* y (pow z 2)) (pow (- y 1) 2))) x)) (/ z (- y 1))) x))
x
(+ x (* y (- z x)))
(+ x (* y (- z x)))
(+ x (* y (- z x)))
(* y (- z x))
(* y (- (+ z (/ x y)) x))
(* y (- (+ z (/ x y)) x))
(* y (- (+ z (/ x y)) x))
(* y (- z x))
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(+ x (* -1 (* x y)))
(+ x (+ (* -1 (* x y)) (* y z)))
(+ x (+ (* -1 (* x y)) (* y z)))
(+ x (+ (* -1 (* x y)) (* y z)))
(* y z)
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(* y z)
(+ (* x (+ 1 (* -1 y))) (* y z))
(+ (* x (+ 1 (* -1 y))) (* y z))
(+ (* x (+ 1 (* -1 y))) (* y z))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(* -1 (* x (- y 1)))
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
Outputs
(/ x z)
(/.f64 x z)
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) y)
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) y)
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) y)
(* y (+ 1 (* -1 (/ x z))))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))
(fma.f64 y (-.f64 (/.f64 x (*.f64 z y)) (/.f64 x z)) y)
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))
(fma.f64 y (-.f64 (/.f64 x (*.f64 z y)) (/.f64 x z)) y)
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))
(fma.f64 y (-.f64 (/.f64 x (*.f64 z y)) (/.f64 x z)) y)
(* -1 (* y (- (/ x z) 1)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))
(fma.f64 y (-.f64 (/.f64 x (*.f64 z y)) (/.f64 x z)) y)
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))
(fma.f64 y (-.f64 (/.f64 x (*.f64 z y)) (/.f64 x z)) y)
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))
(fma.f64 y (-.f64 (/.f64 x (*.f64 z y)) (/.f64 x z)) y)
y
(+ y (* x (- (/ 1 z) (/ y z))))
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) y)
(+ y (* x (- (/ 1 z) (/ y z))))
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) y)
(+ y (* x (- (/ 1 z) (/ y z))))
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) y)
(* x (- (/ 1 z) (/ y z)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(* x (- (+ (/ 1 z) (/ y x)) (/ y z)))
(*.f64 x (+.f64 (/.f64 y x) (/.f64 (-.f64 #s(literal 1 binary64) y) z)))
(* x (- (+ (/ 1 z) (/ y x)) (/ y z)))
(*.f64 x (+.f64 (/.f64 y x) (/.f64 (-.f64 #s(literal 1 binary64) y) z)))
(* x (- (+ (/ 1 z) (/ y x)) (/ y z)))
(*.f64 x (+.f64 (/.f64 y x) (/.f64 (-.f64 #s(literal 1 binary64) y) z)))
(/ (* x (- 1 y)) z)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))
(*.f64 x (+.f64 (/.f64 y x) (/.f64 (-.f64 #s(literal 1 binary64) y) z)))
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))
(*.f64 x (+.f64 (/.f64 y x) (/.f64 (-.f64 #s(literal 1 binary64) y) z)))
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))
(*.f64 x (+.f64 (/.f64 y x) (/.f64 (-.f64 #s(literal 1 binary64) y) z)))
(/ (* x (- 1 y)) z)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(/ (+ (* x (- 1 y)) (* y z)) z)
(/.f64 (fma.f64 y (-.f64 z x) x) z)
(/ (+ (* x (- 1 y)) (* y z)) z)
(/.f64 (fma.f64 y (-.f64 z x) x) z)
(/ (+ (* x (- 1 y)) (* y z)) z)
(/.f64 (fma.f64 y (-.f64 z x) x) z)
y
(+ y (/ (* x (- 1 y)) z))
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) y)
(+ y (/ (* x (- 1 y)) z))
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) y)
(+ y (/ (* x (- 1 y)) z))
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) y)
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(+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 x (-.f64 #s(literal 1 binary64) y))) (*.f64 y (*.f64 z (*.f64 y y)))) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 y y))) z))
(+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ x (* -1 (* x y))) 3) (* (pow y 4) z))) (* -1 (/ (pow (+ x (* -1 (* x y))) 2) (pow y 3)))) z)) (* -1 (/ (+ x (* -1 (* x y))) (pow y 2)))) z)) (/ 1 y))
(-.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 x (-.f64 #s(literal 1 binary64) y)))) (*.f64 z (pow.f64 y #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 x (-.f64 #s(literal 1 binary64) y))) (*.f64 y (*.f64 y y)))) (*.f64 z z)) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 z (*.f64 y y)))))
(/ z x)
(/.f64 z x)
(+ (* -1 (/ (* y (* z (- z x))) (pow x 2))) (/ z x))
(fma.f64 y (/.f64 (*.f64 z (-.f64 x z)) (*.f64 x x)) (/.f64 z x))
(+ (* y (- (/ (* y (* z (pow (- z x) 2))) (pow x 3)) (/ (* z (- z x)) (pow x 2)))) (/ z x))
(fma.f64 y (fma.f64 (*.f64 z y) (/.f64 (*.f64 (-.f64 z x) (-.f64 z x)) (*.f64 x (*.f64 x x))) (/.f64 (*.f64 z (-.f64 x z)) (*.f64 x x))) (/.f64 z x))
(+ (* y (- (* y (- (* -1 (/ (* y (* z (pow (- z x) 3))) (pow x 4))) (* -1 (/ (* z (pow (- z x) 2)) (pow x 3))))) (/ (* z (- z x)) (pow x 2)))) (/ z x))
(fma.f64 y (fma.f64 y (fma.f64 y (*.f64 (*.f64 (-.f64 x z) (*.f64 (-.f64 z x) (-.f64 z x))) (/.f64 z (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (-.f64 z x) (*.f64 z (-.f64 z x))) (*.f64 x (*.f64 x x)))) (/.f64 (*.f64 z (-.f64 x z)) (*.f64 x x))) (/.f64 z x))
(/ z (* y (- z x)))
(/.f64 z (*.f64 y (-.f64 z x)))
(/ (+ (* -1 (/ (* x z) (* y (pow (- z x) 2)))) (/ z (- z x))) y)
(/.f64 (fma.f64 x (/.f64 z (*.f64 (-.f64 z x) (*.f64 y (-.f64 x z)))) (/.f64 z (-.f64 z x))) y)
(/ (- (+ (/ z (- z x)) (/ (* (pow x 2) z) (* (pow y 2) (pow (- z x) 3)))) (/ (* x z) (* y (pow (- z x) 2)))) y)
(/.f64 (fma.f64 z (/.f64 (*.f64 x x) (*.f64 y (*.f64 (-.f64 z x) (*.f64 (-.f64 z x) (*.f64 y (-.f64 z x)))))) (fma.f64 x (/.f64 z (*.f64 (-.f64 z x) (*.f64 y (-.f64 x z)))) (/.f64 z (-.f64 z x)))) y)
(/ (- (+ (* -1 (/ (* (pow x 3) z) (* (pow y 3) (pow (- z x) 4)))) (/ z (- z x))) (+ (* -1 (/ (* (pow x 2) z) (* (pow y 2) (pow (- z x) 3)))) (/ (* x z) (* y (pow (- z x) 2))))) y)
(/.f64 (-.f64 (fma.f64 z (/.f64 (*.f64 x x) (*.f64 y (*.f64 (-.f64 z x) (*.f64 (-.f64 z x) (*.f64 y (-.f64 z x)))))) (fma.f64 x (/.f64 z (*.f64 (-.f64 z x) (*.f64 y (-.f64 x z)))) (/.f64 z (-.f64 z x)))) (/.f64 (*.f64 x (*.f64 z (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (pow.f64 (-.f64 z x) #s(literal 4 binary64))))) y)
(/ z (* y (- z x)))
(/.f64 z (*.f64 y (-.f64 z x)))
(* -1 (/ (+ (* -1 (/ z (- z x))) (/ (* x z) (* y (pow (- z x) 2)))) y))
(/.f64 (fma.f64 x (/.f64 z (*.f64 (-.f64 z x) (*.f64 y (-.f64 x z)))) (neg.f64 (/.f64 z (-.f64 x z)))) y)
(* -1 (/ (+ (* -1 (/ z (- z x))) (* -1 (/ (- (/ (* (pow x 2) z) (* y (pow (- z x) 3))) (/ (* x z) (pow (- z x) 2))) y))) y))
(/.f64 (fma.f64 z (/.f64 (*.f64 x x) (*.f64 y (*.f64 (-.f64 z x) (*.f64 (-.f64 z x) (*.f64 y (-.f64 z x)))))) (fma.f64 x (/.f64 z (*.f64 (-.f64 z x) (*.f64 y (-.f64 x z)))) (/.f64 z (-.f64 z x)))) y)
(* -1 (/ (+ (* -1 (/ z (- z x))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow x 3) z) (* y (pow (- z x) 4))) (/ (* (pow x 2) z) (pow (- z x) 3))) y)) (/ (* x z) (pow (- z x) 2))) y))) y))
(/.f64 (+.f64 (/.f64 z (-.f64 z x)) (/.f64 (-.f64 (/.f64 (*.f64 x z) (*.f64 (-.f64 z x) (-.f64 x z))) (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 z (*.f64 y (pow.f64 (-.f64 z x) #s(literal 4 binary64)))) (/.f64 (*.f64 z (*.f64 x x)) (*.f64 (-.f64 x z) (*.f64 (-.f64 z x) (-.f64 z x))))) y)) y)) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* x (- (/ 1 (* y z)) (/ 1 (* (pow y 2) z)))) (/ 1 y))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 y y)))) (/.f64 #s(literal 1 binary64) y))
(+ (* x (- (+ (* -1 (/ (* x (* (+ 1 (* -1 y)) (- (/ 1 (* y z)) (/ 1 (* (pow y 2) z))))) (* y z))) (/ 1 (* y z))) (/ 1 (* (pow y 2) z)))) (/ 1 y))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (fma.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 y y)))) (*.f64 z (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 y y))))) (/.f64 #s(literal 1 binary64) y))
(+ (* x (- (+ (* x (- (/ (* x (* (pow (+ 1 (* -1 y)) 2) (- (/ 1 (* y z)) (/ 1 (* (pow y 2) z))))) (* (pow y 2) (pow z 2))) (/ (* (+ 1 (* -1 y)) (- (/ 1 (* y z)) (/ 1 (* (pow y 2) z)))) (* y z)))) (/ 1 (* y z))) (/ 1 (* (pow y 2) z)))) (/ 1 y))
(fma.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (fma.f64 x (-.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 y y)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (-.f64 #s(literal 1 binary64) y)))) (*.f64 z (*.f64 z (*.f64 y y)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 y y)))) (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 z y)))) (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 y y))))) (/.f64 #s(literal 1 binary64) y))
(/ z (* x (+ 1 (* -1 y))))
(/.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(/ (+ (* -1 (/ (* y (pow z 2)) (* x (pow (+ 1 (* -1 y)) 2)))) (/ z (+ 1 (* -1 y)))) x)
(/.f64 (fma.f64 y (/.f64 (*.f64 z z) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))) (/.f64 z (-.f64 #s(literal 1 binary64) y))) x)
(/ (- (+ (/ z (+ 1 (* -1 y))) (/ (* (pow y 2) (pow z 3)) (* (pow x 2) (pow (+ 1 (* -1 y)) 3)))) (/ (* y (pow z 2)) (* x (pow (+ 1 (* -1 y)) 2)))) x)
(/.f64 (fma.f64 y (/.f64 (*.f64 z z) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))) (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 x (-.f64 #s(literal 1 binary64) y))))) (/.f64 z (-.f64 #s(literal 1 binary64) y)))) x)
(/ (- (+ (* -1 (/ (* (pow y 3) (pow z 4)) (* (pow x 3) (pow (+ 1 (* -1 y)) 4)))) (/ z (+ 1 (* -1 y)))) (+ (* -1 (/ (* (pow y 2) (pow z 3)) (* (pow x 2) (pow (+ 1 (* -1 y)) 3)))) (/ (* y (pow z 2)) (* x (pow (+ 1 (* -1 y)) 2))))) x)
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 y (/.f64 (*.f64 z z) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))))) (fma.f64 (*.f64 z (*.f64 z z)) (/.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 x (-.f64 #s(literal 1 binary64) y))))) (/.f64 z (-.f64 #s(literal 1 binary64) y))))) x)
(* -1 (/ z (* x (- y 1))))
(/.f64 z (*.f64 x (-.f64 #s(literal 1 binary64) y)))
(* -1 (/ (+ (/ z (- y 1)) (/ (* y (pow z 2)) (* x (pow (- y 1) 2)))) x))
(/.f64 (fma.f64 y (/.f64 (*.f64 z z) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (-.f64 #s(literal 1 binary64) y)))) (/.f64 z (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow y 2) (pow z 3)) (* x (pow (- y 1) 3)))) (/ (* y (pow z 2)) (pow (- y 1) 2))) x)) (/ z (- y 1))) x))
(/.f64 (-.f64 (/.f64 z (+.f64 y #s(literal -1 binary64))) (/.f64 (fma.f64 y (/.f64 (*.f64 z z) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64)))) (/.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 y y)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (-.f64 #s(literal 1 binary64) y)))))) x)) (-.f64 #s(literal 0 binary64) x))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) (pow z 4)) (* x (pow (- y 1) 4))) (* -1 (/ (* (pow y 2) (pow z 3)) (pow (- y 1) 3)))) x)) (/ (* y (pow z 2)) (pow (- y 1) 2))) x)) (/ z (- y 1))) x))
(/.f64 (+.f64 (/.f64 z (+.f64 y #s(literal -1 binary64))) (/.f64 (+.f64 (/.f64 (fma.f64 y (*.f64 (*.f64 y y) (/.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 x (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 4 binary64))))) (/.f64 (*.f64 z (*.f64 z (*.f64 z (*.f64 y y)))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) x) (/.f64 (*.f64 y (*.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) x)) (-.f64 #s(literal 0 binary64) x))
x
(+ x (* y (- z x)))
(fma.f64 y (-.f64 z x) x)
(+ x (* y (- z x)))
(fma.f64 y (-.f64 z x) x)
(+ x (* y (- z x)))
(fma.f64 y (-.f64 z x) x)
(* y (- z x))
(*.f64 y (-.f64 z x))
(* y (- (+ z (/ x y)) x))
(*.f64 y (+.f64 z (-.f64 (/.f64 x y) x)))
(* y (- (+ z (/ x y)) x))
(*.f64 y (+.f64 z (-.f64 (/.f64 x y) x)))
(* y (- (+ z (/ x y)) x))
(*.f64 y (+.f64 z (-.f64 (/.f64 x y) x)))
(* y (- z x))
(*.f64 y (-.f64 z x))
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(*.f64 y (+.f64 z (-.f64 (/.f64 x y) x)))
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(*.f64 y (+.f64 z (-.f64 (/.f64 x y) x)))
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(*.f64 y (+.f64 z (-.f64 (/.f64 x y) x)))
(+ x (* -1 (* x y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(+ x (+ (* -1 (* x y)) (* y z)))
(fma.f64 y (-.f64 z x) x)
(+ x (+ (* -1 (* x y)) (* y z)))
(fma.f64 y (-.f64 z x) x)
(+ x (+ (* -1 (* x y)) (* y z)))
(fma.f64 y (-.f64 z x) x)
(* y z)
(*.f64 z y)
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(*.f64 z (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) y))
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(*.f64 z (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) y))
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(*.f64 z (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) y))
(* y z)
(*.f64 z y)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(*.f64 z (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) y))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(*.f64 z (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) y))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(*.f64 z (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) y))
(* y z)
(*.f64 z y)
(+ (* x (+ 1 (* -1 y))) (* y z))
(fma.f64 y (-.f64 z x) x)
(+ (* x (+ 1 (* -1 y))) (* y z))
(fma.f64 y (-.f64 z x) x)
(+ (* x (+ 1 (* -1 y))) (* y z))
(fma.f64 y (-.f64 z x) x)
(* x (+ 1 (* -1 y)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(*.f64 x (fma.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64)))
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(*.f64 x (fma.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64)))
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(*.f64 x (fma.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64)))
(* -1 (* x (- y 1)))
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(*.f64 x (fma.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64)))
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(*.f64 x (fma.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64)))
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(*.f64 x (fma.f64 y (+.f64 #s(literal -1 binary64) (/.f64 z x)) #s(literal 1 binary64)))

eval351.0ms (3.3%)

Memory
-1.9MiB live, 504.9MiB allocated
Compiler

Compiled 41 892 to 3 334 computations (92% saved)

prune263.0ms (2.5%)

Memory
34.1MiB live, 543.5MiB allocated
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1 92891 937
Fresh527
Picked415
Done000
Total1 937121 949
Accuracy
100.0%
Counts
1 949 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
94.6%
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
▶99.8%
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 z x)) y)
94.9%
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) y)
80.4%
(fma.f64 #s(literal 1 binary64) (/.f64 x z) y)
56.8%
(/.f64 (fma.f64 (*.f64 (-.f64 z x) (+.f64 x z)) (/.f64 y (+.f64 x z)) x) z)
▶30.8%
(/.f64 (*.f64 z y) z)
▶49.1%
(/.f64 (*.f64 y (-.f64 z x)) z)
58.3%
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
▶42.0%
(/.f64 x z)
38.1%
(*.f64 z (/.f64 y z))
▶63.1%
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
✓41.3%
y
Compiler

Compiled 238 to 147 computations (38.2% saved)

simplify373.0ms (3.5%)

Memory
-21.1MiB live, 396.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 y (-.f64 z x))
✓cost-diff0
(-.f64 z x)
✓cost-diff0
(/.f64 (*.f64 y (-.f64 z x)) z)
✓cost-diff-64
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
✓cost-diff0
(/.f64 x z)
✓cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 x z))
✓cost-diff-64
(*.f64 z y)
✓cost-diff1088
(/.f64 (*.f64 z y) z)
✓cost-diff0
(/.f64 x z)
✓cost-diff0
(/.f64 z x)
✓cost-diff0
(-.f64 #s(literal 1 binary64) y)
✓cost-diff0
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 z x)) y)
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 z x))
Rules
9 342×accelerator-lowering-fma.f32
9 342×accelerator-lowering-fma.f64
2 794×*-lowering-*.f32
2 794×*-lowering-*.f64
1 988×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01778
13876
28570
321370
454370
5181670
6364970
7639670
0804969
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (- 1 y) (/ 1 (/ z x))) y)
(- 1 y)
1
y
(/ 1 (/ z x))
(/ z x)
z
x
(/ x z)
x
z
(/ (* z y) z)
(* z y)
z
y
(* y (- 1 (/ x z)))
y
(- 1 (/ x z))
1
(/ x z)
x
z
(/ (* y (- z x)) z)
(* y (- z x))
y
(- z x)
z
x
Outputs
(+ (* (- 1 y) (/ 1 (/ z x))) y)
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
(/ 1 (/ z x))
(/.f64 x z)
(/ z x)
(/.f64 z x)
z
x
(/ x z)
(/.f64 x z)
x
z
(/ (* z y) z)
y
(* z y)
(fma.f64 y z #s(literal 0 binary64))
z
y
(* y (- 1 (/ x z)))
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 0 binary64))
y
(- 1 (/ x z))
(-.f64 #s(literal 1 binary64) (/.f64 x z))
1
#s(literal 1 binary64)
(/ x z)
(/.f64 x z)
x
z
(/ (* y (- z x)) z)
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 0 binary64))
(* y (- z x))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
y
(- z x)
(-.f64 z x)
z
x

localize86.0ms (0.8%)

Memory
14.7MiB live, 93.6MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 z x)
✓accuracy100.0%
(*.f64 y (-.f64 z x))
✓accuracy81.1%
(/.f64 (*.f64 y (-.f64 z x)) z)
✓accuracy100.0%
(/.f64 x z)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 x z))
✓accuracy97.0%
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
✓accuracy100.0%
(*.f64 z y)
✓accuracy73.3%
(/.f64 (*.f64 z y) z)
✓accuracy100.0%
(/.f64 x z)
✓accuracy100.0%
(/.f64 z x)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) y)
✓accuracy99.9%
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 z x)) y)
✓accuracy99.4%
(/.f64 #s(literal 1 binary64) (/.f64 z x))
Samples
33.0ms256×0valid
Compiler

Compiled 79 to 19 computations (75.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-div: 9.0ms (44.7% of total)
ival-mult: 6.0ms (29.8% of total)
ival-sub: 4.0ms (19.8% 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)

series104.0ms (1%)

Memory
-25.6MiB live, 12.2MiB allocated
Counts
12 → 324
Calls
Call 1
Inputs
#<alt (/ 1 (/ z x))>
#<alt (+ (* (- 1 y) (/ 1 (/ z x))) y)>
#<alt (- 1 y)>
#<alt (/ z x)>
#<alt (/ x z)>
#<alt (/ (* z y) z)>
#<alt (* z y)>
#<alt (- 1 (/ x z))>
#<alt (* y (- 1 (/ x z)))>
#<alt (/ (* y (- z x)) z)>
#<alt (- z x)>
#<alt (* y (- z x))>
Outputs
#<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 z)>
#<alt (+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))>
#<alt (+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))>
#<alt (+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))>
#<alt (* y (+ 1 (* -1 (/ x z))))>
#<alt (* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))>
#<alt (* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))>
#<alt (* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))>
#<alt (* -1 (* y (- (/ x z) 1)))>
#<alt (* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))>
#<alt (* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))>
#<alt (* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))>
#<alt (/ (* x (- 1 y)) z)>
#<alt (/ (+ (* x (- 1 y)) (* y z)) z)>
#<alt (/ (+ (* x (- 1 y)) (* y z)) z)>
#<alt (/ (+ (* x (- 1 y)) (* y z)) z)>
#<alt y>
#<alt (+ y (/ (* x (- 1 y)) z))>
#<alt (+ y (/ (* x (- 1 y)) z))>
#<alt (+ y (/ (* x (- 1 y)) z))>
#<alt y>
#<alt (+ y (/ (* x (- 1 y)) z))>
#<alt (+ y (/ (* x (- 1 y)) z))>
#<alt (+ y (/ (* x (- 1 y)) z))>
#<alt y>
#<alt (+ y (* x (- (/ 1 z) (/ y z))))>
#<alt (+ y (* x (- (/ 1 z) (/ y z))))>
#<alt (+ y (* x (- (/ 1 z) (/ y z))))>
#<alt (* x (- (/ 1 z) (/ y z)))>
#<alt (* x (- (+ (/ 1 z) (/ y x)) (/ y z)))>
#<alt (* x (- (+ (/ 1 z) (/ y x)) (/ y z)))>
#<alt (* x (- (+ (/ 1 z) (/ y x)) (/ y z)))>
#<alt (/ (* x (- 1 y)) z)>
#<alt (* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))>
#<alt (* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))>
#<alt (* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z 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 y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<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 1>
#<alt (+ 1 (* -1 (/ x z)))>
#<alt (+ 1 (* -1 (/ x z)))>
#<alt (+ 1 (* -1 (/ x z)))>
#<alt (* -1 (/ x z))>
#<alt (* x (- (/ 1 x) (/ 1 z)))>
#<alt (* x (- (/ 1 x) (/ 1 z)))>
#<alt (* x (- (/ 1 x) (/ 1 z)))>
#<alt (* -1 (/ x z))>
#<alt (* -1 (* x (- (/ 1 z) (/ 1 x))))>
#<alt (* -1 (* x (- (/ 1 z) (/ 1 x))))>
#<alt (* -1 (* x (- (/ 1 z) (/ 1 x))))>
#<alt (* -1 (/ x z))>
#<alt (/ (- z x) z)>
#<alt (/ (- z x) z)>
#<alt (/ (- z x) z)>
#<alt 1>
#<alt (+ 1 (* -1 (/ x z)))>
#<alt (+ 1 (* -1 (/ x z)))>
#<alt (+ 1 (* -1 (/ x z)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ x z)))>
#<alt (+ 1 (* -1 (/ x z)))>
#<alt (+ 1 (* -1 (/ x z)))>
#<alt (* y (- 1 (/ x z)))>
#<alt (* y (- 1 (/ x z)))>
#<alt (* y (- 1 (/ x z)))>
#<alt (* y (- 1 (/ x z)))>
#<alt (* y (- 1 (/ x z)))>
#<alt (* y (- 1 (/ x z)))>
#<alt (* y (- 1 (/ x z)))>
#<alt (* y (- 1 (/ x z)))>
#<alt (* y (- 1 (/ x z)))>
#<alt (* y (- 1 (/ x z)))>
#<alt (* y (- 1 (/ x z)))>
#<alt (* y (- 1 (/ x z)))>
#<alt y>
#<alt (+ y (* -1 (/ (* x y) z)))>
#<alt (+ y (* -1 (/ (* x y) z)))>
#<alt (+ y (* -1 (/ (* x y) z)))>
#<alt (* -1 (/ (* x y) z))>
#<alt (* x (+ (* -1 (/ y z)) (/ y x)))>
#<alt (* x (+ (* -1 (/ y z)) (/ y x)))>
#<alt (* x (+ (* -1 (/ y z)) (/ y x)))>
#<alt (* -1 (/ (* x y) z))>
#<alt (* -1 (* x (+ (* -1 (/ y x)) (/ y z))))>
#<alt (* -1 (* x (+ (* -1 (/ y x)) (/ y z))))>
#<alt (* -1 (* x (+ (* -1 (/ y x)) (/ y z))))>
#<alt (* -1 (/ (* x y) z))>
#<alt (/ (+ (* -1 (* x y)) (* y z)) z)>
#<alt (/ (+ (* -1 (* x y)) (* y z)) z)>
#<alt (/ (+ (* -1 (* x y)) (* y z)) z)>
#<alt y>
#<alt (+ y (* -1 (/ (* x y) z)))>
#<alt (+ y (* -1 (/ (* x y) z)))>
#<alt (+ y (* -1 (/ (* x y) z)))>
#<alt y>
#<alt (+ y (* -1 (/ (* x y) z)))>
#<alt (+ y (* -1 (/ (* x y) z)))>
#<alt (+ y (* -1 (/ (* x y) z)))>
#<alt (/ (* y (- z x)) z)>
#<alt (/ (* y (- z x)) z)>
#<alt (/ (* y (- z x)) z)>
#<alt (/ (* y (- z x)) z)>
#<alt (/ (* y (- z x)) z)>
#<alt (/ (* y (- z x)) z)>
#<alt (/ (* y (- z x)) z)>
#<alt (/ (* y (- z x)) z)>
#<alt (/ (* y (- z x)) z)>
#<alt (/ (* y (- z x)) z)>
#<alt (/ (* y (- z x)) z)>
#<alt (/ (* y (- z x)) z)>
#<alt (* -1 (/ (* x y) z))>
#<alt (/ (+ (* -1 (* x y)) (* y z)) z)>
#<alt (/ (+ (* -1 (* x y)) (* y z)) z)>
#<alt (/ (+ (* -1 (* x y)) (* y z)) z)>
#<alt y>
#<alt (+ y (* -1 (/ (* x y) z)))>
#<alt (+ y (* -1 (/ (* x y) z)))>
#<alt (+ y (* -1 (/ (* x y) z)))>
#<alt y>
#<alt (+ y (* -1 (/ (* x y) z)))>
#<alt (+ y (* -1 (/ (* x y) z)))>
#<alt (+ y (* -1 (/ (* x y) z)))>
#<alt y>
#<alt (+ y (* -1 (/ (* x y) z)))>
#<alt (+ y (* -1 (/ (* x y) z)))>
#<alt (+ y (* -1 (/ (* x y) z)))>
#<alt (* -1 (/ (* x y) z))>
#<alt (* x (+ (* -1 (/ y z)) (/ y x)))>
#<alt (* x (+ (* -1 (/ y z)) (/ y x)))>
#<alt (* x (+ (* -1 (/ y z)) (/ y x)))>
#<alt (* -1 (/ (* x y) z))>
#<alt (* -1 (* x (+ (* -1 (/ y x)) (/ y z))))>
#<alt (* -1 (* x (+ (* -1 (/ y x)) (/ y z))))>
#<alt (* -1 (* x (+ (* -1 (/ y x)) (/ y z))))>
#<alt (* -1 x)>
#<alt (- z x)>
#<alt (- z x)>
#<alt (- z x)>
#<alt z>
#<alt (* z (+ 1 (* -1 (/ x z))))>
#<alt (* z (+ 1 (* -1 (/ x z))))>
#<alt (* z (+ 1 (* -1 (/ x z))))>
#<alt z>
#<alt (* -1 (* z (- (/ x z) 1)))>
#<alt (* -1 (* z (- (/ x z) 1)))>
#<alt (* -1 (* z (- (/ x z) 1)))>
#<alt z>
#<alt (+ z (* -1 x))>
#<alt (+ z (* -1 x))>
#<alt (+ z (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ z x) 1))>
#<alt (* x (- (/ z x) 1))>
#<alt (* x (- (/ z x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ z x)))))>
#<alt (* y (- z x))>
#<alt (* y (- z x))>
#<alt (* y (- z x))>
#<alt (* y (- z x))>
#<alt (* y (- z x))>
#<alt (* y (- z x))>
#<alt (* y (- z x))>
#<alt (* y (- z x))>
#<alt (* y (- z x))>
#<alt (* y (- z x))>
#<alt (* y (- z x))>
#<alt (* y (- z x))>
#<alt (* -1 (* x y))>
#<alt (+ (* -1 (* x y)) (* y z))>
#<alt (+ (* -1 (* x y)) (* y z))>
#<alt (+ (* -1 (* x y)) (* y z))>
#<alt (* y z)>
#<alt (* z (+ y (* -1 (/ (* x y) z))))>
#<alt (* z (+ y (* -1 (/ (* x y) z))))>
#<alt (* z (+ y (* -1 (/ (* x y) z))))>
#<alt (* y z)>
#<alt (* -1 (* z (+ (* -1 y) (/ (* x y) z))))>
#<alt (* -1 (* z (+ (* -1 y) (/ (* x y) z))))>
#<alt (* -1 (* z (+ (* -1 y) (/ (* x y) z))))>
#<alt (* y z)>
#<alt (+ (* -1 (* x y)) (* y z))>
#<alt (+ (* -1 (* x y)) (* y z))>
#<alt (+ (* -1 (* x y)) (* y z))>
#<alt (* -1 (* x y))>
#<alt (* x (+ (* -1 y) (/ (* y z) x)))>
#<alt (* x (+ (* -1 y) (/ (* y z) x)))>
#<alt (* x (+ (* -1 y) (/ (* y z) x)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (+ y (* -1 (/ (* y z) x)))))>
#<alt (* -1 (* x (+ y (* -1 (/ (* y z) x)))))>
#<alt (* -1 (* x (+ y (* -1 (/ (* y z) x)))))>
Calls

81 calls:

TimeVariablePointExpression
94.0ms
x
@-inf
(/ z x)
1.0ms
y
@0
(* y (- 1 (/ x z)))
0.0ms
z
@inf
(/ (* y (- z x)) z)
0.0ms
y
@0
(/ (* y (- z x)) z)
0.0ms
z
@-inf
(/ (* y (- z x)) z)

rewrite874.0ms (8.2%)

Memory
29.7MiB live, 541.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 130×accelerator-lowering-fma.f32
6 130×accelerator-lowering-fma.f64
3 646×*-lowering-*.f32
3 646×*-lowering-*.f64
3 432×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01756
111056
296152
0884751
Stop Event
1×iter limit
1×node limit
Counts
12 → 603
Calls
Call 1
Inputs
(/ 1 (/ z x))
(+ (* (- 1 y) (/ 1 (/ z x))) y)
(- 1 y)
(/ z x)
(/ x z)
(/ (* z y) z)
(* z y)
(- 1 (/ x z))
(* y (- 1 (/ x z)))
(/ (* y (- z x)) z)
(- z x)
(* y (- z x))
Outputs
(exp.f64 (log.f64 (/.f64 x z)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 z x))
(/.f64 x z)
(/.f64 (/.f64 x z) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z x)))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) z))
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(pow.f64 (/.f64 z x) #s(literal -1 binary64))
(pow.f64 (/.f64 x z) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 z x) (/.f64 z x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x z))
(*.f64 x (/.f64 #s(literal 1 binary64) z))
(*.f64 x (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 x z) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 x z)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) z))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(*.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 #s(literal 0 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z x) #s(literal -1/2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 0 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z))) x)
(+.f64 y (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z))
(+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z) y)
(+.f64 (/.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) (-.f64 #s(literal 0 binary64) y))) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) (-.f64 #s(literal 0 binary64) y)))))
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) (-.f64 #s(literal 0 binary64) y))) (/.f64 (*.f64 y y) (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) (-.f64 #s(literal 0 binary64) y))))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z))) (/.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (-.f64 y (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z))))
(fma.f64 #s(literal 1 binary64) y (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z) y)
(fma.f64 z (/.f64 y z) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z))
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) y)
(fma.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) y)) y)
(fma.f64 y #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z) #s(literal 1 binary64) y)
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) y)
(fma.f64 (*.f64 z y) (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z))
(fma.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 0 binary64) z) y) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z))
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) (/.f64 z x))) y)
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 z y)) (/.f64 #s(literal -1 binary64) z) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z))
(fma.f64 (*.f64 (/.f64 (*.f64 x x) (*.f64 z z)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) (-.f64 #s(literal 0 binary64) y))) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) (-.f64 #s(literal 0 binary64) y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z x) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))) y)
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 z x))) y)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z y) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) #s(literal -1 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) y)
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z x) (+.f64 #s(literal 1 binary64) y))) y)
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 z x))) y)
(fma.f64 (/.f64 y z) z (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) z))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) x) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) z)) y)
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 z x)))) y)
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(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 z x)) (*.f64 (+.f64 z x) (*.f64 x x))) (*.f64 (+.f64 z x) (+.f64 z x)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (-.f64 z x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 x (+.f64 z x))))))
(/.f64 (neg.f64 (fma.f64 z (-.f64 #s(literal 0 binary64) z) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 z x))))
(/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 z (*.f64 z z))) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 (-.f64 #s(literal 0 binary64) x) z))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z z (*.f64 x (+.f64 z x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 z z (*.f64 x (+.f64 z x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z z (*.f64 x (+.f64 z x)))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z z (*.f64 x (+.f64 z x)))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 z z (*.f64 x (+.f64 z x)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 z z (*.f64 x (+.f64 z x)))) (*.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z z (*.f64 x (+.f64 z x)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 z z (*.f64 x (+.f64 z x))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z z) (+.f64 z x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (+.f64 z x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 z z) (+.f64 z x)) (/.f64 (*.f64 z z) (+.f64 z x)) (fma.f64 (/.f64 (*.f64 x x) (+.f64 z x)) (/.f64 (*.f64 x x) (+.f64 z x)) (*.f64 (/.f64 (*.f64 z z) (+.f64 z x)) (/.f64 (*.f64 x x) (+.f64 z x))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (-.f64 (-.f64 #s(literal 0 binary64) x) z))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z z (*.f64 x (+.f64 z x)))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z z (*.f64 x (+.f64 z x))))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 z z (*.f64 x (+.f64 z x)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 z z (*.f64 x (+.f64 z x)))))) (+.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z z (*.f64 x (+.f64 z x)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 z z (*.f64 x (+.f64 z x))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 z z) (+.f64 z x)) (/.f64 (*.f64 z z) (+.f64 z x))) (*.f64 (/.f64 (*.f64 x x) (+.f64 z x)) (/.f64 (*.f64 x x) (+.f64 z x)))) (+.f64 (/.f64 (*.f64 z z) (+.f64 z x)) (/.f64 (*.f64 x x) (+.f64 z x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 z x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 z x))
(*.f64 (*.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (+.f64 z x)))))
(*.f64 (*.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (-.f64 z x)) (/.f64 #s(literal 1 binary64) (fma.f64 z z (-.f64 (*.f64 x x) (*.f64 z (-.f64 #s(literal 0 binary64) x))))))
(*.f64 (*.f64 (-.f64 z x) (+.f64 z x)) (/.f64 #s(literal 1 binary64) (+.f64 z x)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (-.f64 z x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 x (+.f64 z x))))))
(*.f64 (fma.f64 z (-.f64 #s(literal 0 binary64) z) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 z x))))
(+.f64 (*.f64 z y) (*.f64 y (-.f64 #s(literal 0 binary64) x)))
(+.f64 (*.f64 z y) (*.f64 (-.f64 #s(literal 0 binary64) x) y))
(-.f64 #s(literal 0 binary64) (*.f64 y (+.f64 x (-.f64 #s(literal 0 binary64) z))))
(fma.f64 #s(literal 1 binary64) (*.f64 z y) (*.f64 y (-.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 z y) (*.f64 (-.f64 #s(literal 0 binary64) x) y))
(fma.f64 z y (*.f64 y (-.f64 #s(literal 0 binary64) x)))
(fma.f64 z y (*.f64 (-.f64 #s(literal 0 binary64) x) y))
(fma.f64 z (neg.f64 (-.f64 #s(literal 0 binary64) y)) (*.f64 y (-.f64 #s(literal 0 binary64) x)))
(fma.f64 z (neg.f64 (-.f64 #s(literal 0 binary64) y)) (*.f64 (-.f64 #s(literal 0 binary64) x) y))
(fma.f64 y z (*.f64 y (-.f64 #s(literal 0 binary64) x)))
(fma.f64 y z (*.f64 (-.f64 #s(literal 0 binary64) x) y))
(fma.f64 (*.f64 z y) #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (*.f64 z y) #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) y))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z y)) (*.f64 y (-.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z y)) (*.f64 (-.f64 #s(literal 0 binary64) x) y))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) y) (*.f64 y (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) x) y))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) z) (*.f64 y (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) z) (*.f64 (-.f64 #s(literal 0 binary64) x) y))
(fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) z (*.f64 y (-.f64 #s(literal 0 binary64) x)))
(fma.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) z (*.f64 (-.f64 #s(literal 0 binary64) x) y))
(neg.f64 (*.f64 y (+.f64 x (-.f64 #s(literal 0 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (*.f64 y (*.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (-.f64 z x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z x) (*.f64 y (*.f64 (-.f64 z x) (+.f64 z x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (*.f64 (*.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (-.f64 z x)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z x) (*.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)))
(/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 z x)))
(/.f64 (*.f64 y (*.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (-.f64 z x))) (fma.f64 z z (*.f64 x (+.f64 z x))))
(/.f64 (*.f64 y (*.f64 (-.f64 z x) (+.f64 z x))) (+.f64 z x))
(/.f64 (*.f64 (*.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (-.f64 z x)) y) (fma.f64 z z (*.f64 x (+.f64 z x))))
(/.f64 (*.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) (+.f64 z x))
(/.f64 (neg.f64 (*.f64 y (*.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (-.f64 z x)))) (-.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 x (+.f64 z x)))))
(/.f64 (neg.f64 (*.f64 y (*.f64 (-.f64 z x) (+.f64 z x)))) (-.f64 #s(literal 0 binary64) (+.f64 z x)))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (-.f64 z x)) y)) (-.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 x (+.f64 z x)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y)) (-.f64 #s(literal 0 binary64) (+.f64 z x)))
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 y (-.f64 #s(literal 0 binary64) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 z y) (*.f64 z y) (-.f64 (*.f64 (*.f64 y (-.f64 #s(literal 0 binary64) x)) (*.f64 y (-.f64 #s(literal 0 binary64) x))) (*.f64 (*.f64 z y) (*.f64 y (-.f64 #s(literal 0 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) y) #s(literal 3 binary64))) (fma.f64 (*.f64 z y) (*.f64 z y) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) y) (*.f64 (-.f64 #s(literal 0 binary64) x) y)) (*.f64 (*.f64 z y) (*.f64 (-.f64 #s(literal 0 binary64) x) y)))))
(/.f64 (-.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (*.f64 (*.f64 y (-.f64 #s(literal 0 binary64) x)) (*.f64 y (-.f64 #s(literal 0 binary64) x)))) (-.f64 (*.f64 z y) (*.f64 y (-.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) y) (*.f64 (-.f64 #s(literal 0 binary64) x) y))) (-.f64 (*.f64 z y) (*.f64 (-.f64 #s(literal 0 binary64) x) y)))
(*.f64 #s(literal 1 binary64) (*.f64 y (-.f64 z x)))
(*.f64 y (-.f64 z x))
(*.f64 y (neg.f64 (+.f64 x (-.f64 #s(literal 0 binary64) z))))
(*.f64 (-.f64 z x) y)
(*.f64 (-.f64 z x) (neg.f64 (-.f64 #s(literal 0 binary64) y)))
(*.f64 (*.f64 y (-.f64 z x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 y (+.f64 x (-.f64 #s(literal 0 binary64) z))))
(*.f64 (-.f64 #s(literal 0 binary64) y) (+.f64 x (-.f64 #s(literal 0 binary64) z)))
(*.f64 (+.f64 x (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) y))
(*.f64 (*.f64 y (*.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (-.f64 z x))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (+.f64 z x)))))
(*.f64 (*.f64 y (*.f64 (-.f64 z x) (+.f64 z x))) (/.f64 #s(literal 1 binary64) (+.f64 z x)))
(*.f64 (*.f64 (*.f64 (fma.f64 z z (*.f64 x (+.f64 z x))) (-.f64 z x)) y) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 x (+.f64 z x)))))
(*.f64 (*.f64 (*.f64 (-.f64 z x) (+.f64 z x)) y) (/.f64 #s(literal 1 binary64) (+.f64 z x)))
(*.f64 (neg.f64 (+.f64 x (-.f64 #s(literal 0 binary64) z))) y)
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) (-.f64 z x))

simplify813.0ms (7.6%)

Memory
-182.4MiB live, 578.4MiB allocated
Algorithm
1×egg-herbie
Rules
8 984×accelerator-lowering-fma.f32
8 984×accelerator-lowering-fma.f64
3 264×*-lowering-*.f32
3 264×*-lowering-*.f64
1 508×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01001483
13041483
28831429
325861429
448551429
574781429
081511402
Stop Event
1×iter limit
1×node limit
Counts
324 → 324
Calls
Call 1
Inputs
(/ 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 z)
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))
(+ (* y (+ 1 (* -1 (/ x z)))) (/ x z))
(* y (+ 1 (* -1 (/ x z))))
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))
(* y (+ 1 (+ (* -1 (/ x z)) (/ x (* y z)))))
(* -1 (* y (- (/ x z) 1)))
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))
(* -1 (* y (- (+ (* -1 (/ x (* y z))) (/ x z)) 1)))
(/ (* x (- 1 y)) z)
(/ (+ (* x (- 1 y)) (* y z)) z)
(/ (+ (* x (- 1 y)) (* y z)) z)
(/ (+ (* x (- 1 y)) (* y z)) z)
y
(+ y (/ (* x (- 1 y)) z))
(+ y (/ (* x (- 1 y)) z))
(+ y (/ (* x (- 1 y)) z))
y
(+ y (/ (* x (- 1 y)) z))
(+ y (/ (* x (- 1 y)) z))
(+ y (/ (* x (- 1 y)) z))
y
(+ y (* x (- (/ 1 z) (/ y z))))
(+ y (* x (- (/ 1 z) (/ y z))))
(+ y (* x (- (/ 1 z) (/ y z))))
(* x (- (/ 1 z) (/ y z)))
(* x (- (+ (/ 1 z) (/ y x)) (/ y z)))
(* x (- (+ (/ 1 z) (/ y x)) (/ y z)))
(* x (- (+ (/ 1 z) (/ y x)) (/ y z)))
(/ (* x (- 1 y)) z)
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))
(* -1 (* x (+ (* -1 (/ y x)) (* -1 (/ (- 1 y) z)))))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ z x)
(/ 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)
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
(* 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)
1
(+ 1 (* -1 (/ x z)))
(+ 1 (* -1 (/ x z)))
(+ 1 (* -1 (/ x z)))
(* -1 (/ x z))
(* x (- (/ 1 x) (/ 1 z)))
(* x (- (/ 1 x) (/ 1 z)))
(* x (- (/ 1 x) (/ 1 z)))
(* -1 (/ x z))
(* -1 (* x (- (/ 1 z) (/ 1 x))))
(* -1 (* x (- (/ 1 z) (/ 1 x))))
(* -1 (* x (- (/ 1 z) (/ 1 x))))
(* -1 (/ x z))
(/ (- z x) z)
(/ (- z x) z)
(/ (- z x) z)
1
(+ 1 (* -1 (/ x z)))
(+ 1 (* -1 (/ x z)))
(+ 1 (* -1 (/ x z)))
1
(+ 1 (* -1 (/ x z)))
(+ 1 (* -1 (/ x z)))
(+ 1 (* -1 (/ x z)))
(* y (- 1 (/ x z)))
(* y (- 1 (/ x z)))
(* y (- 1 (/ x z)))
(* y (- 1 (/ x z)))
(* y (- 1 (/ x z)))
(* y (- 1 (/ x z)))
(* y (- 1 (/ x z)))
(* y (- 1 (/ x z)))
(* y (- 1 (/ x z)))
(* y (- 1 (/ x z)))
(* y (- 1 (/ x z)))
(* y (- 1 (/ x z)))
y
(+ y (* -1 (/ (* x y) z)))
(+ y (* -1 (/ (* x y) z)))
(+ y (* -1 (/ (* x y) z)))
(* -1 (/ (* x y) z))
(* x (+ (* -1 (/ y z)) (/ y x)))
(* x (+ (* -1 (/ y z)) (/ y x)))
(* x (+ (* -1 (/ y z)) (/ y x)))
(* -1 (/ (* x y) z))
(* -1 (* x (+ (* -1 (/ y x)) (/ y z))))
(* -1 (* x (+ (* -1 (/ y x)) (/ y z))))
(* -1 (* x (+ (* -1 (/ y x)) (/ y z))))
(* -1 (/ (* x y) z))
(/ (+ (* -1 (* x y)) (* y z)) z)
(/ (+ (* -1 (* x y)) (* y z)) z)
(/ (+ (* -1 (* x y)) (* y z)) z)
y
(+ y (* -1 (/ (* x y) z)))
(+ y (* -1 (/ (* x y) z)))
(+ y (* -1 (/ (* x y) z)))
y
(+ y (* -1 (/ (* x y) z)))
(+ y (* -1 (/ (* x y) z)))
(+ y (* -1 (/ (* x y) z)))
(/ (* y (- z x)) z)
(/ (* y (- z x)) z)
(/ (* y (- z x)) z)
(/ (* y (- z x)) z)
(/ (* y (- z x)) z)
(/ (* y (- z x)) z)
(/ (* y (- z x)) z)
(/ (* y (- z x)) z)
(/ (* y (- z x)) z)
(/ (* y (- z x)) z)
(/ (* y (- z x)) z)
(/ (* y (- z x)) z)
(* -1 (/ (* x y) z))
(/ (+ (* -1 (* x y)) (* y z)) z)
(/ (+ (* -1 (* x y)) (* y z)) z)
(/ (+ (* -1 (* x y)) (* y z)) z)
y
(+ y (* -1 (/ (* x y) z)))
(+ y (* -1 (/ (* x y) z)))
(+ y (* -1 (/ (* x y) z)))
y
(+ y (* -1 (/ (* x y) z)))
(+ y (* -1 (/ (* x y) z)))
(+ y (* -1 (/ (* x y) z)))
y
(+ y (* -1 (/ (* x y) z)))
(+ y (* -1 (/ (* x y) z)))
(+ y (* -1 (/ (* x y) z)))
(* -1 (/ (* x y) z))
(* x (+ (* -1 (/ y z)) (/ y x)))
(* x (+ (* -1 (/ y z)) (/ y x)))
(* x (+ (* -1 (/ y z)) (/ y x)))
(* -1 (/ (* x y) z))
(* -1 (* x (+ (* -1 (/ y x)) (/ y z))))
(* -1 (* x (+ (* -1 (/ y x)) (/ y z))))
(* -1 (* x (+ (* -1 (/ y x)) (/ y z))))
(* -1 x)
(- z x)
(- z x)
(- z x)
z
(* z (+ 1 (* -1 (/ x z))))
(* z (+ 1 (* -1 (/ x z))))
(* z (+ 1 (* -1 (/ x z))))
z
(* -1 (* z (- (/ x z) 1)))
(* -1 (* z (- (/ x z) 1)))
(* -1 (* z (- (/ x z) 1)))
z
(+ z (* -1 x))
(+ z (* -1 x))
(+ z (* -1 x))
(* -1 x)
(* x (- (/ z x) 1))
(* x (- (/ z x) 1))
(* x (- (/ z x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(* -1 (* x (+ 1 (* -1 (/ 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))
(* -1 (* x y))
(+ (* -1 (* x y)) (* y z))
(+ (* -1 (* x y)) (* y z))
(+ (* -1 (* x y)) (* y z))
(* y z)
(* z (+ y (* -1 (/ (* x y) z))))
(* z (+ y (* -1 (/ (* x y) z))))
(* z (+ y (* -1 (/ (* x y) z))))
(* y z)
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(* y z)
(+ (* -1 (* x y)) (* y z))
(+ (* -1 (* x y)) (* y z))
(+ (* -1 (* x y)) (* y z))
(* -1 (* x y))
(* x (+ (* -1 y) (/ (* y z) x)))
(* x (+ (* -1 y) (/ (* y z) x)))
(* x (+ (* -1 y) (/ (* y z) x)))
(* -1 (* x y))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
Outputs
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
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(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* y (- z x))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* y (- z x))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* y (- z x))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* y (- z x))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* y (- z x))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* -1 (* x y))
(fma.f64 y (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(+ (* -1 (* x y)) (* y z))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(+ (* -1 (* x y)) (* y z))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(+ (* -1 (* x y)) (* y z))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* z (+ y (* -1 (/ (* x y) z))))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* z (+ y (* -1 (/ (* x y) z))))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* z (+ y (* -1 (/ (* x y) z))))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(+ (* -1 (* x y)) (* y z))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(+ (* -1 (* x y)) (* y z))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(+ (* -1 (* x y)) (* y z))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* -1 (* x y))
(fma.f64 y (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(* x (+ (* -1 y) (/ (* y z) x)))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* x (+ (* -1 y) (/ (* y z) x)))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* x (+ (* -1 y) (/ (* y z) x)))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* -1 (* x y))
(fma.f64 y (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))

eval120.0ms (1.1%)

Memory
21.0MiB live, 289.2MiB allocated
Compiler

Compiled 13 746 to 1 427 computations (89.6% saved)

prune86.0ms (0.8%)

Memory
-11.8MiB live, 236.4MiB allocated
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New9774981
Fresh426
Picked235
Done011
Total98310993
Accuracy
100.0%
Counts
993 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶80.4%
(fma.f64 #s(literal 1 binary64) (/.f64 x z) y)
✓30.8%
(/.f64 (*.f64 z y) z)
▶58.3%
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
63.1%
(/.f64 y (/.f64 z (-.f64 z x)))
✓42.0%
(/.f64 x z)
▶38.1%
(*.f64 (/.f64 y z) z)
▶41.8%
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
▶53.3%
(*.f64 (-.f64 z x) (/.f64 y z))
✓63.1%
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
✓41.3%
y
Compiler

Compiled 138 to 91 computations (34.1% saved)

simplify259.0ms (2.4%)

Memory
31.7MiB live, 296.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 x (-.f64 #s(literal 1 binary64) y))
✓cost-diff0
(-.f64 #s(literal 1 binary64) y)
✓cost-diff0
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
✓cost-diff-64
(*.f64 (-.f64 z x) (/.f64 y z))
✓cost-diff0
(/.f64 y z)
✓cost-diff0
(-.f64 z x)
✓cost-diff0
(/.f64 y z)
✓cost-diff1024
(*.f64 (/.f64 y z) z)
✓cost-diff0
(/.f64 #s(literal 1 binary64) z)
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
✓cost-diff0
(/.f64 x z)
✓cost-diff192
(fma.f64 #s(literal 1 binary64) (/.f64 x z) y)
Rules
6 442×accelerator-lowering-fma.f32
6 442×accelerator-lowering-fma.f64
3 580×*-lowering-*.f32
3 580×*-lowering-*.f64
2 322×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01662
13762
27062
314362
425562
553962
6169462
7487562
8794362
0800962
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* 1 (/ x z)) y)
1
(/ x z)
x
z
y
(* (/ 1 z) x)
(/ 1 z)
1
z
x
(* (/ y z) z)
(/ y z)
y
z
(* (- z x) (/ y z))
(- z x)
z
x
(/ y z)
y
(/ (* x (- 1 y)) z)
(* x (- 1 y))
x
(- 1 y)
1
y
z
Outputs
(+ (* 1 (/ x z)) y)
(+.f64 (/.f64 x z) y)
1
#s(literal 1 binary64)
(/ x z)
(/.f64 x z)
x
z
y
(* (/ 1 z) x)
(/.f64 x z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
z
x
(* (/ y z) z)
y
(/ y z)
(/.f64 y z)
y
z
(* (- z x) (/ y z))
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 0 binary64))
(- z x)
(-.f64 z x)
z
x
(/ y z)
(/.f64 y z)
y
(/ (* x (- 1 y)) z)
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) #s(literal 0 binary64))
(* x (- 1 y))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
x
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
y
z

localize58.0ms (0.5%)

Memory
7.2MiB live, 88.2MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(*.f64 x (-.f64 #s(literal 1 binary64) y))
✓accuracy94.7%
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
✓accuracy100.0%
(/.f64 y z)
✓accuracy100.0%
(-.f64 z x)
✓accuracy85.3%
(*.f64 (-.f64 z x) (/.f64 y z))
✓accuracy100.0%
(/.f64 y z)
✓accuracy80.7%
(*.f64 (/.f64 y z) z)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) z)
✓accuracy99.6%
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
✓accuracy100.0%
(/.f64 x z)
✓accuracy100.0%
(fma.f64 #s(literal 1 binary64) (/.f64 x z) y)
Samples
40.0ms256×0valid
Compiler

Compiled 71 to 18 computations (74.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-div: 12.0ms (45.4% of total)
ival-mult: 7.0ms (26.5% of total)
ival-add: 4.0ms (15.1% of total)
ival-sub: 2.0ms (7.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
-19.4MiB live, 19.2MiB allocated
Counts
11 → 276
Calls
Call 1
Inputs
#<alt (+ (* 1 (/ x z)) y)>
#<alt (/ x z)>
#<alt (* (/ 1 z) x)>
#<alt (/ 1 z)>
#<alt (* (/ y z) z)>
#<alt (/ y z)>
#<alt (- z x)>
#<alt (* (- z x) (/ y z))>
#<alt (/ (* x (- 1 y)) z)>
#<alt (- 1 y)>
#<alt (* x (- 1 y))>
Outputs
#<alt y>
#<alt (+ y (/ x z))>
#<alt (+ y (/ x z))>
#<alt (+ y (/ x z))>
#<alt (/ x z)>
#<alt (* x (+ (/ 1 z) (/ y x)))>
#<alt (* x (+ (/ 1 z) (/ y x)))>
#<alt (* x (+ (/ 1 z) (/ y x)))>
#<alt (/ x z)>
#<alt (* -1 (* x (- (* -1 (/ y x)) (/ 1 z))))>
#<alt (* -1 (* x (- (* -1 (/ y x)) (/ 1 z))))>
#<alt (* -1 (* x (- (* -1 (/ y x)) (/ 1 z))))>
#<alt (/ x z)>
#<alt (/ (+ x (* y z)) z)>
#<alt (/ (+ x (* y z)) z)>
#<alt (/ (+ x (* y z)) z)>
#<alt y>
#<alt (+ y (/ x z))>
#<alt (+ y (/ x z))>
#<alt (+ y (/ x z))>
#<alt y>
#<alt (+ y (/ x z))>
#<alt (+ y (/ x z))>
#<alt (+ y (/ x z))>
#<alt (/ x z)>
#<alt (+ y (/ x z))>
#<alt (+ y (/ x z))>
#<alt (+ y (/ x z))>
#<alt y>
#<alt (* y (+ 1 (/ x (* y z))))>
#<alt (* y (+ 1 (/ x (* y z))))>
#<alt (* y (+ 1 (/ x (* y z))))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x (* y z))) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x (* y z))) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x (* y z))) 1)))>
#<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 z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt (/ 1 z)>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<alt y>
#<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 (* -1 x)>
#<alt (- z x)>
#<alt (- z x)>
#<alt (- z x)>
#<alt z>
#<alt (* z (+ 1 (* -1 (/ x z))))>
#<alt (* z (+ 1 (* -1 (/ x z))))>
#<alt (* z (+ 1 (* -1 (/ x z))))>
#<alt z>
#<alt (* -1 (* z (- (/ x z) 1)))>
#<alt (* -1 (* z (- (/ x z) 1)))>
#<alt (* -1 (* z (- (/ x z) 1)))>
#<alt z>
#<alt (+ z (* -1 x))>
#<alt (+ z (* -1 x))>
#<alt (+ z (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ z x) 1))>
#<alt (* x (- (/ z x) 1))>
#<alt (* x (- (/ z x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ z x)))))>
#<alt (* -1 (/ (* x y) z))>
#<alt (/ (+ (* -1 (* x y)) (* y z)) z)>
#<alt (/ (+ (* -1 (* x y)) (* y z)) z)>
#<alt (/ (+ (* -1 (* x y)) (* y z)) z)>
#<alt y>
#<alt (+ y (* -1 (/ (* x y) z)))>
#<alt (+ y (* -1 (/ (* x y) z)))>
#<alt (+ y (* -1 (/ (* x y) z)))>
#<alt y>
#<alt (+ y (* -1 (/ (* x y) z)))>
#<alt (+ y (* -1 (/ (* x y) z)))>
#<alt (+ y (* -1 (/ (* x y) z)))>
#<alt y>
#<alt (+ y (* -1 (/ (* x y) z)))>
#<alt (+ y (* -1 (/ (* x y) z)))>
#<alt (+ y (* -1 (/ (* x y) z)))>
#<alt (* -1 (/ (* x y) z))>
#<alt (* x (+ (* -1 (/ y z)) (/ y x)))>
#<alt (* x (+ (* -1 (/ y z)) (/ y x)))>
#<alt (* x (+ (* -1 (/ y z)) (/ y x)))>
#<alt (* -1 (/ (* x y) z))>
#<alt (* -1 (* x (+ (* -1 (/ y x)) (/ y z))))>
#<alt (* -1 (* x (+ (* -1 (/ y x)) (/ y z))))>
#<alt (* -1 (* x (+ (* -1 (/ y x)) (/ y z))))>
#<alt (/ (* y (- z x)) z)>
#<alt (/ (* y (- z x)) z)>
#<alt (/ (* y (- z x)) z)>
#<alt (/ (* y (- z x)) z)>
#<alt (/ (* y (- z x)) z)>
#<alt (/ (* y (- z x)) z)>
#<alt (/ (* y (- z x)) z)>
#<alt (/ (* y (- z x)) z)>
#<alt (/ (* y (- z x)) z)>
#<alt (/ (* y (- z x)) z)>
#<alt (/ (* y (- z x)) z)>
#<alt (/ (* y (- z x)) z)>
#<alt (/ (* x (- 1 y)) z)>
#<alt (/ (* x (- 1 y)) z)>
#<alt (/ (* x (- 1 y)) z)>
#<alt (/ (* x (- 1 y)) z)>
#<alt (/ (* x (- 1 y)) z)>
#<alt (/ (* x (- 1 y)) z)>
#<alt (/ (* x (- 1 y)) z)>
#<alt (/ (* x (- 1 y)) z)>
#<alt (/ (* x (- 1 y)) z)>
#<alt (/ (* x (- 1 y)) z)>
#<alt (/ (* x (- 1 y)) z)>
#<alt (/ (* x (- 1 y)) z)>
#<alt (/ x z)>
#<alt (+ (* -1 (/ (* x y) z)) (/ x z))>
#<alt (+ (* -1 (/ (* x y) z)) (/ x z))>
#<alt (+ (* -1 (/ (* x y) z)) (/ x z))>
#<alt (* -1 (/ (* x y) z))>
#<alt (* y (+ (* -1 (/ x z)) (/ x (* y z))))>
#<alt (* y (+ (* -1 (/ x z)) (/ x (* y z))))>
#<alt (* y (+ (* -1 (/ x z)) (/ x (* y z))))>
#<alt (* -1 (/ (* x y) z))>
#<alt (* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z))))>
#<alt (* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z))))>
#<alt (* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z))))>
#<alt (/ (* x (- 1 y)) z)>
#<alt (/ (* x (- 1 y)) z)>
#<alt (/ (* x (- 1 y)) z)>
#<alt (/ (* x (- 1 y)) z)>
#<alt (/ (* x (- 1 y)) z)>
#<alt (/ (* x (- 1 y)) z)>
#<alt (/ (* x (- 1 y)) z)>
#<alt (/ (* x (- 1 y)) z)>
#<alt (/ (* x (- 1 y)) z)>
#<alt (/ (* x (- 1 y)) z)>
#<alt (/ (* x (- 1 y)) z)>
#<alt (/ (* x (- 1 y)) z)>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt (* x (- 1 y))>
#<alt x>
#<alt (+ x (* -1 (* x y)))>
#<alt (+ x (* -1 (* x y)))>
#<alt (+ x (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* y (+ (* -1 x) (/ x y)))>
#<alt (* y (+ (* -1 x) (/ x y)))>
#<alt (* y (+ (* -1 x) (/ x y)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (+ x (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ x (* -1 (/ x y)))))>
Calls

69 calls:

TimeVariablePointExpression
2.0ms
z
@inf
(+ (* 1 (/ x z)) y)
0.0ms
x
@0
(/ (* x (- 1 y)) z)
0.0ms
x
@inf
(* x (- 1 y))
0.0ms
z
@-inf
(/ y z)
0.0ms
z
@0
(/ (* x (- 1 y)) z)

rewrite369.0ms (3.4%)

Memory
3.0MiB live, 601.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 548×accelerator-lowering-fma.f32
5 548×accelerator-lowering-fma.f64
4 692×*-lowering-*.f32
4 692×*-lowering-*.f64
3 306×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01647
19247
270043
3702543
0841543
Stop Event
1×iter limit
1×node limit
Counts
11 → 657
Calls
Call 1
Inputs
(+ (* 1 (/ x z)) y)
(/ x z)
(* (/ 1 z) x)
(/ 1 z)
(* (/ y z) z)
(/ y z)
(- z x)
(* (- z x) (/ y z))
(/ (* x (- 1 y)) z)
(- 1 y)
(* x (- 1 y))
Outputs
(+.f64 (/.f64 x z) y)
(+.f64 y (/.f64 x z))
(+.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 (/.f64 x z) y) (*.f64 z z))) (neg.f64 (/.f64 (*.f64 y y) (-.f64 (/.f64 x z) y))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x z) y))) #s(literal -1 binary64)))
(-.f64 y (/.f64 x (-.f64 #s(literal 0 binary64) z)))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 (/.f64 x z) y) (*.f64 z z))) (/.f64 (*.f64 y y) (-.f64 (/.f64 x z) y)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (/.f64 x z))) (/.f64 (/.f64 (*.f64 x x) (*.f64 z z)) (-.f64 y (/.f64 x z))))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) y)
(fma.f64 #s(literal 1 binary64) y (/.f64 x z))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (-.f64 (/.f64 x z) y) (*.f64 z z))) (neg.f64 (/.f64 (*.f64 y y) (-.f64 (/.f64 x z) y))))
(fma.f64 x (/.f64 #s(literal 1 binary64) z) y)
(fma.f64 x (/.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 (/.f64 x z) y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 (/.f64 x z) y))))
(fma.f64 z (/.f64 y z) (/.f64 x z))
(fma.f64 (/.f64 x z) #s(literal 1 binary64) y)
(fma.f64 (/.f64 x z) (/.f64 (/.f64 x z) (-.f64 (/.f64 x z) y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 (/.f64 x z) y))))
(fma.f64 y #s(literal 1 binary64) (/.f64 x z))
(fma.f64 (/.f64 #s(literal 1 binary64) z) x y)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 z y) (/.f64 x z))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 x #s(literal 1 binary64)) y)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) y)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 z (/.f64 #s(literal 1 binary64) y)) (/.f64 x z))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (*.f64 x x) z) (-.f64 (/.f64 x z) y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 (/.f64 x z) y))))
(fma.f64 (/.f64 y z) z (/.f64 x z))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) y) (/.f64 x z))
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(*.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))

simplify281.0ms (2.6%)

Memory
12.4MiB live, 376.5MiB allocated
Algorithm
1×egg-herbie
Rules
5 926×accelerator-lowering-fma.f32
5 926×accelerator-lowering-fma.f64
2 986×*-lowering-*.f32
2 986×*-lowering-*.f64
1 650×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0821210
12471120
26401120
316731120
433051120
559481120
674281120
080541117
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
Calls
Call 1
Inputs
y
(+ y (/ x z))
(+ y (/ x z))
(+ y (/ x z))
(/ x z)
(* x (+ (/ 1 z) (/ y x)))
(* x (+ (/ 1 z) (/ y x)))
(* x (+ (/ 1 z) (/ y x)))
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y
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y
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(* -1 (* y (- (* -1 (/ x (* y z))) 1)))
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(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z))))
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
(/ (* x (- 1 y)) z)
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
x
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(* -1 (* x y))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
Outputs
y
(+ y (/ x z))
(+.f64 y (/.f64 x z))
(+ y (/ x z))
(+.f64 y (/.f64 x z))
(+ y (/ x z))
(+.f64 y (/.f64 x z))
(/ x z)
(/.f64 x z)
(* x (+ (/ 1 z) (/ y x)))
(+.f64 y (/.f64 x z))
(* x (+ (/ 1 z) (/ y x)))
(+.f64 y (/.f64 x z))
(* x (+ (/ 1 z) (/ y x)))
(+.f64 y (/.f64 x z))
(/ x z)
(/.f64 x z)
(* -1 (* x (- (* -1 (/ y x)) (/ 1 z))))
(+.f64 y (/.f64 x z))
(* -1 (* x (- (* -1 (/ y x)) (/ 1 z))))
(+.f64 y (/.f64 x z))
(* -1 (* x (- (* -1 (/ y x)) (/ 1 z))))
(+.f64 y (/.f64 x z))
(/ x z)
(/.f64 x z)
(/ (+ x (* y z)) z)
(/.f64 (fma.f64 y z x) z)
(/ (+ x (* y z)) z)
(/.f64 (fma.f64 y z x) z)
(/ (+ x (* y z)) z)
(/.f64 (fma.f64 y z x) z)
y
(+ y (/ x z))
(+.f64 y (/.f64 x z))
(+ y (/ x z))
(+.f64 y (/.f64 x z))
(+ y (/ x z))
(+.f64 y (/.f64 x z))
y
(+ y (/ x z))
(+.f64 y (/.f64 x z))
(+ y (/ x z))
(+.f64 y (/.f64 x z))
(+ y (/ x z))
(+.f64 y (/.f64 x z))
(/ x z)
(/.f64 x z)
(+ y (/ x z))
(+.f64 y (/.f64 x z))
(+ y (/ x z))
(+.f64 y (/.f64 x z))
(+ y (/ x z))
(+.f64 y (/.f64 x z))
y
(* y (+ 1 (/ x (* y z))))
(+.f64 y (/.f64 x z))
(* y (+ 1 (/ x (* y z))))
(+.f64 y (/.f64 x z))
(* y (+ 1 (/ x (* y z))))
(+.f64 y (/.f64 x z))
y
(* -1 (* y (- (* -1 (/ x (* y z))) 1)))
(+.f64 y (/.f64 x z))
(* -1 (* y (- (* -1 (/ x (* y z))) 1)))
(+.f64 y (/.f64 x z))
(* -1 (* y (- (* -1 (/ x (* y z))) 1)))
(+.f64 y (/.f64 x z))
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
y
(/ 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)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(- z x)
(-.f64 z x)
(- z x)
(-.f64 z x)
(- z x)
(-.f64 z x)
z
(* z (+ 1 (* -1 (/ x z))))
(-.f64 z x)
(* z (+ 1 (* -1 (/ x z))))
(-.f64 z x)
(* z (+ 1 (* -1 (/ x z))))
(-.f64 z x)
z
(* -1 (* z (- (/ x z) 1)))
(-.f64 z x)
(* -1 (* z (- (/ x z) 1)))
(-.f64 z x)
(* -1 (* z (- (/ x z) 1)))
(-.f64 z x)
z
(+ z (* -1 x))
(-.f64 z x)
(+ z (* -1 x))
(-.f64 z x)
(+ z (* -1 x))
(-.f64 z x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ z x) 1))
(-.f64 z x)
(* x (- (/ z x) 1))
(-.f64 z x)
(* x (- (/ z x) 1))
(-.f64 z x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(-.f64 z x)
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(-.f64 z x)
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(-.f64 z x)
(* -1 (/ (* x y) z))
(-.f64 #s(literal 0 binary64) (fma.f64 y (/.f64 x z) #s(literal 0 binary64)))
(/ (+ (* -1 (* x y)) (* y z)) z)
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 0 binary64))
(/ (+ (* -1 (* x y)) (* y z)) z)
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 0 binary64))
(/ (+ (* -1 (* x y)) (* y z)) z)
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 0 binary64))
y
(+ y (* -1 (/ (* x y) z)))
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 0 binary64))
(+ y (* -1 (/ (* x y) z)))
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 0 binary64))
(+ y (* -1 (/ (* x y) z)))
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 0 binary64))
y
(+ y (* -1 (/ (* x y) z)))
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 0 binary64))
(+ y (* -1 (/ (* x y) z)))
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 0 binary64))
(+ y (* -1 (/ (* x y) z)))
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 0 binary64))
y
(+ y (* -1 (/ (* x y) z)))
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 0 binary64))
(+ y (* -1 (/ (* x y) z)))
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 0 binary64))
(+ y (* -1 (/ (* x y) z)))
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 0 binary64))
(* -1 (/ (* x y) z))
(-.f64 #s(literal 0 binary64) (fma.f64 y (/.f64 x z) #s(literal 0 binary64)))
(* x (+ (* -1 (/ y z)) (/ y x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 0 binary64))
(* x (+ (* -1 (/ y z)) (/ y x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 0 binary64))
(* x (+ (* -1 (/ y z)) (/ y x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 0 binary64))
(* -1 (/ (* x y) z))
(-.f64 #s(literal 0 binary64) (fma.f64 y (/.f64 x z) #s(literal 0 binary64)))
(* -1 (* x (+ (* -1 (/ y x)) (/ y z))))
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 (/ y x)) (/ y z))))
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 (/ y x)) (/ y z))))
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 0 binary64))
(/ (* y (- z x)) z)
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 0 binary64))
(/ (* y (- z x)) z)
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 0 binary64))
(/ (* y (- z x)) z)
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 0 binary64))
(/ (* y (- z x)) z)
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 0 binary64))
(/ (* y (- z x)) z)
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 0 binary64))
(/ (* y (- z x)) z)
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 0 binary64))
(/ (* y (- z x)) z)
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 0 binary64))
(/ (* y (- z x)) z)
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 0 binary64))
(/ (* y (- z x)) z)
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 0 binary64))
(/ (* y (- z x)) z)
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 0 binary64))
(/ (* y (- z x)) z)
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 0 binary64))
(/ (* y (- z x)) z)
(fma.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)) #s(literal 0 binary64))
(/ (* x (- 1 y)) z)
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(/ (* x (- 1 y)) z)
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(/ (* x (- 1 y)) z)
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(/ (* x (- 1 y)) z)
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(/ (* x (- 1 y)) z)
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(/ (* x (- 1 y)) z)
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(/ (* x (- 1 y)) z)
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(/ (* x (- 1 y)) z)
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(/ (* x (- 1 y)) z)
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(/ (* x (- 1 y)) z)
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(/ (* x (- 1 y)) z)
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(/ (* x (- 1 y)) z)
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(/ x z)
(/.f64 x z)
(+ (* -1 (/ (* x y) z)) (/ x z))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(+ (* -1 (/ (* x y) z)) (/ x z))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(+ (* -1 (/ (* x y) z)) (/ x z))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* -1 (/ (* x y) z))
(-.f64 #s(literal 0 binary64) (fma.f64 y (/.f64 x z) #s(literal 0 binary64)))
(* y (+ (* -1 (/ x z)) (/ x (* y z))))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* y (+ (* -1 (/ x z)) (/ x (* y z))))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* y (+ (* -1 (/ x z)) (/ x (* y z))))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* -1 (/ (* x y) z))
(-.f64 #s(literal 0 binary64) (fma.f64 y (/.f64 x z) #s(literal 0 binary64)))
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z))))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z))))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ x z))))
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(/ (* x (- 1 y)) z)
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(/ (* x (- 1 y)) z)
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(/ (* x (- 1 y)) z)
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(/ (* x (- 1 y)) z)
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(/ (* x (- 1 y)) z)
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(/ (* x (- 1 y)) z)
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(/ (* x (- 1 y)) z)
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(/ (* x (- 1 y)) z)
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(/ (* x (- 1 y)) z)
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(/ (* x (- 1 y)) z)
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(/ (* x (- 1 y)) z)
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(/ (* x (- 1 y)) z)
(fma.f64 (/.f64 x z) (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* x (- 1 y))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (- 1 y))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (- 1 y))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (- 1 y))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (- 1 y))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (- 1 y))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (- 1 y))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (- 1 y))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (- 1 y))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (- 1 y))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (- 1 y))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* x (- 1 y))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
x
(+ x (* -1 (* x y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(+ x (* -1 (* x y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(+ x (* -1 (* x y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64)))
(* y (+ (* -1 x) (/ x y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* y (+ (* -1 x) (/ x y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* y (+ (* -1 x) (/ x y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64)))
(* -1 (* y (+ x (* -1 (/ x y)))))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* -1 (* y (+ x (* -1 (/ x y)))))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* -1 (* y (+ x (* -1 (/ x y)))))
(fma.f64 x (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))

eval116.0ms (1.1%)

Memory
-18.2MiB live, 246.0MiB allocated
Compiler

Compiled 13 579 to 1 552 computations (88.6% saved)

prune135.0ms (1.3%)

Memory
1.1MiB live, 262.3MiB allocated
Pruning

11 alts after pruning (3 fresh and 8 done)

PrunedKeptTotal
New9793982
Fresh101
Picked145
Done044
Total98111992
Accuracy
100.0%
Counts
992 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.8%
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 x y) y)
60.3%
(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))
✓30.8%
(/.f64 (*.f64 z y) z)
✓58.3%
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
✓42.0%
(/.f64 x z)
80.4%
(+.f64 (/.f64 x z) y)
✓38.1%
(*.f64 (/.f64 y z) z)
✓41.8%
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
✓53.3%
(*.f64 (-.f64 z x) (/.f64 y z))
✓63.1%
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
✓41.3%
y
Compiler

Compiled 334 to 131 computations (60.8% saved)

regimes67.0ms (0.6%)

Memory
-11.3MiB live, 64.2MiB allocated
Counts
29 → 1
Calls
Call 1
Inputs
y
(/.f64 x z)
(+.f64 (/.f64 x z) y)
(*.f64 z (/.f64 y z))
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(*.f64 (/.f64 y z) z)
(/.f64 (*.f64 z y) z)
(/.f64 (fma.f64 y z #s(literal 0 binary64)) z)
(fma.f64 #s(literal 1 binary64) (/.f64 x z) y)
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 (-.f64 z x) (/.f64 y z))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(/.f64 (*.f64 y (-.f64 z x)) z)
(/.f64 (+.f64 x (*.f64 y z)) z)
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) y)
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
(fma.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 x y) y)
(*.f64 (fma.f64 y (-.f64 z x) x) (/.f64 #s(literal 1 binary64) z))
(/.f64 y (/.f64 z (-.f64 z x)))
(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 z x))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 y (-.f64 z x) x)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (/.f64 z x)) y)
(/.f64 (+.f64 x (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 z x)))) z)
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 z x) x)))
(/.f64 (fma.f64 (*.f64 (-.f64 z x) (+.f64 x z)) (/.f64 y (+.f64 x z)) x) z)
(*.f64 (*.f64 (fma.f64 y (-.f64 z x) x) (fma.f64 y (-.f64 #s(literal 0 binary64) (-.f64 z x)) x)) (/.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 y (-.f64 #s(literal 0 binary64) (-.f64 z x)) x))))
Outputs
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
Calls

4 calls:

39.0ms
z
10.0ms
x
8.0ms
y
8.0ms
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1z
99.9%1(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes23.0ms (0.2%)

Memory
12.2MiB live, 49.3MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
y
(/.f64 x z)
(+.f64 (/.f64 x z) y)
(*.f64 z (/.f64 y z))
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(*.f64 (/.f64 y z) z)
(/.f64 (*.f64 z y) z)
(/.f64 (fma.f64 y z #s(literal 0 binary64)) z)
(fma.f64 #s(literal 1 binary64) (/.f64 x z) y)
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 (-.f64 z x) (/.f64 y z))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(/.f64 (*.f64 y (-.f64 z x)) z)
(/.f64 (+.f64 x (*.f64 y z)) z)
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) z) y)
Outputs
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(/.f64 (fma.f64 (-.f64 z x) y x) z)
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
Calls

4 calls:

7.0ms
y
5.0ms
x
5.0ms
z
5.0ms
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Results
AccuracySegmentsBranch
94.9%1x
99.9%3y
99.9%3z
99.9%3(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes16.0ms (0.1%)

Memory
-3.7MiB live, 33.6MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
y
(/.f64 x z)
(+.f64 (/.f64 x z) y)
(*.f64 z (/.f64 y z))
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(*.f64 (/.f64 y z) z)
(/.f64 (*.f64 z y) z)
(/.f64 (fma.f64 y z #s(literal 0 binary64)) z)
(fma.f64 #s(literal 1 binary64) (/.f64 x z) y)
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(*.f64 (-.f64 z x) (/.f64 y z))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) z)
(/.f64 (*.f64 y (-.f64 z x)) z)
(/.f64 (+.f64 x (*.f64 y z)) z)
Outputs
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
(+.f64 (/.f64 x z) y)
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))
Calls

3 calls:

6.0ms
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
5.0ms
z
4.0ms
y
Results
AccuracySegmentsBranch
90.8%4(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
85.4%3z
99.4%3y
Compiler

Compiled 20 to 13 computations (35% saved)

regimes21.0ms (0.2%)

Memory
-6.2MiB live, 32.9MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
y
(/.f64 x z)
(+.f64 (/.f64 x z) y)
(*.f64 z (/.f64 y z))
(*.f64 (/.f64 #s(literal 1 binary64) z) x)
(*.f64 (/.f64 y z) z)
(/.f64 (*.f64 z y) z)
(/.f64 (fma.f64 y z #s(literal 0 binary64)) z)
(fma.f64 #s(literal 1 binary64) (/.f64 x z) y)
Outputs
(+.f64 (/.f64 x z) y)
(*.f64 z (/.f64 y z))
Calls

4 calls:

10.0ms
z
3.0ms
y
3.0ms
x
3.0ms
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Results
AccuracySegmentsBranch
80.4%1z
80.4%1(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
80.4%1x
82.1%2y
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes4.0ms (0%)

Memory
8.1MiB live, 8.1MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
y
(/.f64 x z)
(+.f64 (/.f64 x z) y)
Outputs
(+.f64 (/.f64 x z) y)
Calls

2 calls:

2.0ms
y
2.0ms
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Results
AccuracySegmentsBranch
80.4%1(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
80.4%1y
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes7.0ms (0.1%)

Memory
13.7MiB live, 13.7MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
y
(/.f64 x z)
Outputs
y
(/.f64 x z)
y
Calls

4 calls:

2.0ms
y
2.0ms
z
1.0ms
x
1.0ms
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Results
AccuracySegmentsBranch
61.0%3z
56.7%3x
69.1%3y
47.4%2(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory
11.9MiB live, 11.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
y
Outputs
y
Calls

4 calls:

1.0ms
y
1.0ms
z
1.0ms
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
1.0ms
x
Results
AccuracySegmentsBranch
41.3%1(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
41.3%1x
41.3%1z
41.3%1y
Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch13.0ms (0.1%)

Memory
-14.8MiB live, 22.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×predicate-same
1×predicate-same
Steps
TimeLeftRight
4.0ms
7202224027194.056
5.2735079318421605e+22
8.0ms
-8900208610464543000.0
-269801705690415300.0
Samples
6.0ms128×0valid
Compiler

Compiled 199 to 133 computations (33.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 1.0ms (31.3% of total)
ival-div: 1.0ms (31.3% of total)
ival-add: 1.0ms (31.3% of total)
ival-mult: 1.0ms (31.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch27.0ms (0.3%)

Memory
17.9MiB live, 52.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
1.3517422645363668e-43
1.9632262159445456e-40
15.0ms
-217.93083302126112
-3.2344062725961803e-10
Samples
16.0ms288×0valid
Compiler

Compiled 375 to 265 computations (29.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sub: 4.0ms (43% of total)
ival-div: 2.0ms (21.5% of total)
ival-mult: 2.0ms (21.5% of total)
ival-add: 1.0ms (10.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch16.0ms (0.1%)

Memory
-4.2MiB live, 33.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
7.009549979061986e+224
8.896761908494595e+235
Samples
10.0ms160×0valid
Compiler

Compiled 195 to 133 computations (31.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 2.0ms (35.1% of total)
ival-sub: 1.0ms (17.6% of total)
ival-div: 1.0ms (17.6% of total)
ival-mult: 1.0ms (17.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch28.0ms (0.3%)

Memory
10.6MiB live, 50.6MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
10.0ms
1.3517422645363668e-43
1.9632262159445456e-40
16.0ms
-8900208610464543000.0
-269801705690415300.0
Samples
19.0ms240×0valid
Compiler

Compiled 195 to 148 computations (24.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sub: 8.0ms (60.6% of total)
ival-div: 2.0ms (15.2% of total)
ival-mult: 2.0ms (15.2% of total)
ival-add: 1.0ms (7.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify12.0ms (0.1%)

Memory
-14.7MiB live, 23.4MiB allocated
Algorithm
1×egg-herbie
Rules
16×+-commutative_binary64
14×sub-neg_binary64
12×*-commutative_binary64
8×neg-sub0_binary64
8×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03686
15786
26986
37786
48286
58386
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(if (<=.f64 y #s(literal -300000000000000000 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))) (if (<=.f64 y #s(literal 4000000000000000 binary64)) (/.f64 (fma.f64 (-.f64 z x) y x) z) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))))
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))) (if (<=.f64 y #s(literal 2329393222116151/12259964326927110866866776217202473468949912977468817408 binary64)) (+.f64 (/.f64 x z) y) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))))
(if (<=.f64 y #s(literal 3999999999999999713816893794546107982437658449785947650145580172180204685993670313209666361228427737509408037694354544537017938491765844711352872162519445434460112208714344774433322120634026584523548195666621841294666751803392 binary64)) (+.f64 (/.f64 x z) y) (*.f64 z (/.f64 y z)))
(+.f64 (/.f64 x z) y)
(if (<=.f64 y #s(literal -270000000000000000 binary64)) y (if (<=.f64 y #s(literal 7532522082464017/1569275433846670190958947355801916604025588861116008628224 binary64)) (/.f64 x z) y))
y
Outputs
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x z) y)
(if (<=.f64 y #s(literal -300000000000000000 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))) (if (<=.f64 y #s(literal 4000000000000000 binary64)) (/.f64 (fma.f64 (-.f64 z x) y x) z) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))))
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))) (if (<=.f64 y #s(literal 2329393222116151/12259964326927110866866776217202473468949912977468817408 binary64)) (+.f64 (/.f64 x z) y) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))))
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z))) (if (<=.f64 y #s(literal 2329393222116151/12259964326927110866866776217202473468949912977468817408 binary64)) (+.f64 y (/.f64 x z)) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 x z)))))
(if (<=.f64 y #s(literal 3999999999999999713816893794546107982437658449785947650145580172180204685993670313209666361228427737509408037694354544537017938491765844711352872162519445434460112208714344774433322120634026584523548195666621841294666751803392 binary64)) (+.f64 (/.f64 x z) y) (*.f64 z (/.f64 y z)))
(if (<=.f64 y #s(literal 3999999999999999713816893794546107982437658449785947650145580172180204685993670313209666361228427737509408037694354544537017938491765844711352872162519445434460112208714344774433322120634026584523548195666621841294666751803392 binary64)) (+.f64 y (/.f64 x z)) (*.f64 z (/.f64 y z)))
(+.f64 (/.f64 x z) y)
(+.f64 y (/.f64 x z))
(if (<=.f64 y #s(literal -270000000000000000 binary64)) y (if (<=.f64 y #s(literal 7532522082464017/1569275433846670190958947355801916604025588861116008628224 binary64)) (/.f64 x z) y))
y

soundness1.3s (12%)

Memory
-12.1MiB live, 837.7MiB allocated
Rules
13 152×accelerator-lowering-fma.f32
13 152×accelerator-lowering-fma.f64
9 274×accelerator-lowering-fma.f32
9 274×accelerator-lowering-fma.f64
7 428×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03703105
111942863
242462836
093462710
0724
14224
234824
3456224
0910722
02067
114167
2105863
0861557
0106910
1346796
21046742
33277742
45772742
57672742
08070688
01647
19247
270043
3702543
0841543
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 232 to 128 computations (44.8% saved)

preprocess62.0ms (0.6%)

Memory
23.9MiB live, 143.2MiB allocated
Compiler

Compiled 254 to 102 computations (59.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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