SynthBasics:oscSampleBasedAux from YampaSynth-0.2

Time bar (total: 6.8s)

analyze0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample794.0ms (11.7%)

Memory
-4.8MiB live, 920.4MiB allocated
Samples
622.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 216.0ms
ival-add: 84.0ms (38.9% of total)
ival-sub: 65.0ms (30.1% of total)
ival-mult: 58.0ms (26.9% of total)
ival-true: 5.0ms (2.3% of total)
ival-assert: 3.0ms (1.4% of total)
Bogosity

preprocess94.0ms (1.4%)

Memory
-15.4MiB live, 120.1MiB allocated
Algorithm
2×egg-herbie
Rules
608×accelerator-lowering-fma.f32
608×accelerator-lowering-fma.f64
458×distribute-rgt-in
360×unsub-neg
322×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02979
17170
221070
370270
4137670
5216770
6247070
7250270
8250270
067
1107
2217
3487
4857
51317
62217
73707
85867
96747
106967
06966
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(+ x (* y (- z x)))
Outputs
(+ x (* y (- z x)))
(fma.f64 y (-.f64 z x) x)
Call 2
Inputs
(+ x (* y (- z x)))
(+ (neg x) (* y (- z (neg x))))
(+ x (* (neg y) (- z x)))
(+ x (* y (- (neg z) x)))
(neg (+ (neg x) (* y (- z (neg x)))))
(neg (+ x (* (neg y) (- z x))))
(neg (+ x (* y (- (neg z) x))))
(+ y (* x (- z y)))
(+ z (* y (- x z)))
(+ x (* z (- y x)))
Outputs
(+ x (* y (- z x)))
(+ (neg x) (* y (- z (neg x))))
(- (* y (+ x z)) x)
(+ x (* (neg y) (- z x)))
(+ x (* y (- x z)))
(+ x (* y (- (neg z) x)))
(- x (* y (+ x z)))
(neg (+ (neg x) (* y (- z (neg x)))))
(- x (* y (+ x z)))
(neg (+ x (* (neg y) (- z x))))
(- (* y (- z x)) x)
(neg (+ x (* y (- (neg z) x))))
(- (* y (+ x z)) x)
(+ y (* x (- z y)))
(+ z (* y (- x z)))
(+ x (* z (- y x)))

explain65.0ms (1%)

Memory
-26.8MiB live, 129.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
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
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
23.0ms512×0valid
Compiler

Compiled 60 to 28 computations (53.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sub: 3.0ms (32.5% of total)
ival-mult: 3.0ms (32.5% of total)
ival-add: 2.0ms (21.7% 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
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 x (*.f64 y (-.f64 z x)))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify30.0ms (0.4%)

Memory
15.5MiB live, 52.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
11018
22118
34818
48518
513118
622118
737018
858618
967418
1069618
069617
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ x (* y (- z x)))
x
(* y (- z x))
y
(- z x)
z
Outputs
(+ 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

localize18.0ms (0.3%)

Memory
-5.9MiB live, 33.2MiB allocated
Localize:

Found 3 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))
Samples
12.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (37.9% of total)
ival-sub: 1.0ms (19% of total)
ival-add: 1.0ms (19% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB allocated
Counts
3 → 96
Calls
Call 1
Inputs
#<alt (+ x (* y (- z x)))>
#<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 (* -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

24 calls:

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

rewrite424.0ms (6.3%)

Memory
-5.7MiB live, 542.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 196×*-lowering-*.f32
6 196×*-lowering-*.f64
4 406×accelerator-lowering-fma.f32
4 406×accelerator-lowering-fma.f64
3 688×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
13315
228315
3381615
01087014
Stop Event
1×iter limit
1×node limit
Counts
3 → 258
Calls
Call 1
Inputs
(+ x (* y (- z x)))
(- 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 y y) (*.f64 (-.f64 z x) (-.f64 z x))) (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 (+.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 (/.f64 (*.f64 x x) (fma.f64 y (-.f64 #s(literal 0 binary64) (-.f64 z x)) x)) (/.f64 (*.f64 (*.f64 y y) (*.f64 (-.f64 z x) (-.f64 z x))) (fma.f64 y (-.f64 #s(literal 0 binary64) (-.f64 z x)) x)))
(-.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (-.f64 z x) (-.f64 z x))) (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 y y) (*.f64 (-.f64 z x) (-.f64 z x))) (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 y y) (*.f64 (-.f64 z x) (-.f64 z x))) (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 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 x z) (*.f64 y (-.f64 z x))) (/.f64 #s(literal 1 binary64) (+.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 y y) (*.f64 (-.f64 z x) (-.f64 z x))) (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 y y) (*.f64 (-.f64 z x) (-.f64 z x))) (fma.f64 y (-.f64 #s(literal 0 binary64) (-.f64 z x)) x))))
(fma.f64 (/.f64 (*.f64 y (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x z) (*.f64 (+.f64 x z) (+.f64 x z))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (fma.f64 (*.f64 x (+.f64 x z)) (-.f64 (*.f64 x (+.f64 x z)) (*.f64 z z)) (*.f64 z (*.f64 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 (+.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 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (-.f64 z x) #s(literal 1 binary64)) x)
(fma.f64 (pow.f64 (-.f64 z x) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) x)
(fma.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)) x)
(fma.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)) x)
(fma.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)) x)
(fma.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)) x)
(fma.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)) x)
(fma.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)) x)
(fma.f64 (pow.f64 (/.f64 (*.f64 y (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x z) (*.f64 (+.f64 x z) (+.f64 x z))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 x (+.f64 x z)) (-.f64 (*.f64 x (+.f64 x z)) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)) x)
(fma.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)) x)
(fma.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)) x)
(fma.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)) x)
(fma.f64 (exp.f64 (log.f64 (-.f64 z x))) (exp.f64 (log.f64 y)) x)
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (-.f64 z x))) x)
(neg.f64 (/.f64 (*.f64 (fma.f64 y (-.f64 z x) x) (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (-.f64 #s(literal 0 binary64) x)) (*.f64 x x))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (-.f64 #s(literal 0 binary64) x)) (*.f64 x x)))))
(neg.f64 (/.f64 (*.f64 (fma.f64 y (-.f64 z x) x) (fma.f64 y (-.f64 #s(literal 0 binary64) (-.f64 z x)) x)) (-.f64 #s(literal 0 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) (-.f64 z x)) x))))
(neg.f64 (/.f64 (*.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) (-.f64 #s(literal 0 binary64) x)) (*.f64 x x))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y (-.f64 z x) x) (fma.f64 y (-.f64 #s(literal 0 binary64) (-.f64 z x)) x))) (fma.f64 y (-.f64 #s(literal 0 binary64) (-.f64 z x)) x)))
(/.f64 (*.f64 (fma.f64 y (-.f64 z x) x) (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (-.f64 #s(literal 0 binary64) x)) (*.f64 x x))) (fma.f64 (*.f64 y (-.f64 z x)) (fma.f64 y (-.f64 z x) (-.f64 #s(literal 0 binary64) x)) (*.f64 x x)))
(/.f64 (*.f64 (fma.f64 y (-.f64 z x) x) (fma.f64 y (-.f64 #s(literal 0 binary64) (-.f64 z x)) x)) (fma.f64 y (-.f64 #s(literal 0 binary64) (-.f64 z x)) x))
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(*.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 (*.f64 y (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x z) (*.f64 (+.f64 x z) (+.f64 x z))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 x (+.f64 x z)) (-.f64 (*.f64 x (+.f64 x z)) (*.f64 z z)) (*.f64 z (*.f64 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 (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 (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))))

simplify263.0ms (3.9%)

Memory
45.3MiB live, 353.8MiB allocated
Algorithm
1×egg-herbie
Rules
7 696×accelerator-lowering-fma.f32
7 696×accelerator-lowering-fma.f64
3 292×*-lowering-*.f32
3 292×*-lowering-*.f64
1 248×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073542
1242458
2728458
32046458
44205458
55991458
67374458
08195431
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
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)))))
(* -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)
(* -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))

eval41.0ms (0.6%)

Memory
-19.5MiB live, 92.5MiB allocated
Compiler

Compiled 9 840 to 953 computations (90.3% saved)

prune285.0ms (4.2%)

Memory
-51.1MiB live, 96.8MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New3486354
Fresh000
Picked101
Done000
Total3496355
Accuracy
100.0%
Counts
355 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 (-.f64 z x) y x)
▶40.3%
(fma.f64 y z #s(literal 0 binary64))
97.2%
(+.f64 (+.f64 x (*.f64 y z)) (*.f64 y (-.f64 #s(literal 0 binary64) x)))
▶98.4%
(+.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) x) y (*.f64 y z)))
▶74.0%
(+.f64 x (*.f64 y z))
▶36.1%
x
Compiler

Compiled 110 to 70 computations (36.4% saved)

simplify59.0ms (0.9%)

Memory
-1.0MiB live, 35.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 y z)
✓cost-diff0
(-.f64 #s(literal 0 binary64) x)
✓cost-diff192
(+.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) x) y (*.f64 y z)))
✓cost-diff384
(fma.f64 (-.f64 #s(literal 0 binary64) x) y (*.f64 y z))
✓cost-diff-64
(*.f64 y z)
✓cost-diff192
(+.f64 x (*.f64 y z))
✓cost-diff0
(fma.f64 y z #s(literal 0 binary64))
✓cost-diff0
(-.f64 z x)
✓cost-diff0
(fma.f64 (-.f64 z x) y x)
Rules
608×accelerator-lowering-fma.f32
608×accelerator-lowering-fma.f64
240×*-lowering-*.f32
240×*-lowering-*.f64
152×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01455
12852
26552
39652
415352
523852
637752
753052
868252
969052
069049
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* (- z x) y) x)
(- z x)
z
x
y
x
(+ (* y z) 0)
y
z
0
(+ x (* y z))
x
(* y z)
y
z
(+ x (+ (* (- 0 x) y) (* y z)))
x
(+ (* (- 0 x) y) (* y z))
(- 0 x)
0
y
(* y z)
z
Outputs
(+ (* (- z x) y) x)
(fma.f64 (-.f64 z x) y x)
(- z x)
(-.f64 z x)
z
x
y
x
(+ (* y z) 0)
(fma.f64 z y #s(literal 0 binary64))
y
z
0
#s(literal 0 binary64)
(+ x (* y z))
(fma.f64 z y x)
x
(* y z)
(fma.f64 z y #s(literal 0 binary64))
y
z
(+ x (+ (* (- 0 x) y) (* y z)))
(fma.f64 (-.f64 z x) y x)
x
(+ (* (- 0 x) y) (* y z))
(fma.f64 (-.f64 z x) y #s(literal 0 binary64))
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
y
(* y z)
(fma.f64 z y #s(literal 0 binary64))
z

localize45.0ms (0.7%)

Memory
-1.8MiB live, 76.0MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) x)
✓accuracy100.0%
(*.f64 y z)
✓accuracy100.0%
(+.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) x) y (*.f64 y z)))
✓accuracy98.4%
(fma.f64 (-.f64 #s(literal 0 binary64) x) y (*.f64 y z))
✓accuracy100.0%
(*.f64 y z)
✓accuracy100.0%
(+.f64 x (*.f64 y z))
✓accuracy100.0%
(fma.f64 y z #s(literal 0 binary64))
✓accuracy100.0%
(-.f64 z x)
✓accuracy100.0%
(fma.f64 (-.f64 z x) y x)
Samples
29.0ms256×0valid
Compiler

Compiled 61 to 16 computations (73.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-add: 7.0ms (45.2% of total)
ival-mult: 5.0ms (32.3% of total)
ival-sub: 3.0ms (19.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB allocated
Counts
8 → 228
Calls
Call 1
Inputs
#<alt (+ (* (- z x) y) x)>
#<alt (- z x)>
#<alt (+ (* y z) 0)>
#<alt (+ x (* y z))>
#<alt (* y z)>
#<alt (+ (* (- 0 x) y) (* y z))>
#<alt (+ x (+ (* (- 0 x) y) (* y z)))>
#<alt (- 0 x)>
Outputs
#<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 (* 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 (* y z)>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt x>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (* y z)>
#<alt (* y (+ z (/ x y)))>
#<alt (* y (+ z (/ x y)))>
#<alt (* y (+ z (/ x y)))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (* y z)>
#<alt (* z (+ y (/ x z)))>
#<alt (* z (+ y (/ x z)))>
#<alt (* z (+ y (/ x z)))>
#<alt (* y z)>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* 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)))))>
#<alt (* y (+ z (* -1 x)))>
#<alt (* y (+ z (* -1 x)))>
#<alt (* y (+ z (* -1 x)))>
#<alt (* y (+ z (* -1 x)))>
#<alt (* y (+ z (* -1 x)))>
#<alt (* y (+ z (* -1 x)))>
#<alt (* y (+ z (* -1 x)))>
#<alt (* y (+ z (* -1 x)))>
#<alt (* -1 (* y (+ x (* -1 z))))>
#<alt (* -1 (* y (+ x (* -1 z))))>
#<alt (* -1 (* y (+ x (* -1 z))))>
#<alt (* -1 (* y (+ x (* -1 z))))>
#<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 (+ (* 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 (* -1 x))))>
#<alt (+ x (* y (+ z (* -1 x))))>
#<alt (+ x (* y (+ z (* -1 x))))>
#<alt (* y (+ z (* -1 x)))>
#<alt (* y (+ z (+ (* -1 x) (/ x y))))>
#<alt (* y (+ z (+ (* -1 x) (/ x y))))>
#<alt (* y (+ z (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ x (* -1 z))))>
#<alt (* -1 (* y (+ x (+ (* -1 z) (* -1 (/ x y))))))>
#<alt (* -1 (* y (+ x (+ (* -1 z) (* -1 (/ x y))))))>
#<alt (* -1 (* y (+ x (+ (* -1 z) (* -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 (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
Calls

57 calls:

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

rewrite511.0ms (7.5%)

Memory
20.5MiB live, 929.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 630×accelerator-lowering-fma.f32
6 630×accelerator-lowering-fma.f64
4 638×/-lowering-/.f32
4 638×/-lowering-/.f64
4 474×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01438
19935
2107935
0830732
Stop Event
1×iter limit
1×node limit
Counts
8 → 1 280
Calls
Call 1
Inputs
(+ (* (- z x) y) x)
(- z x)
(+ (* y z) 0)
(+ x (* y z))
(* y z)
(+ (* (- 0 x) y) (* y z))
(+ x (+ (* (- 0 x) y) (* y z)))
(- 0 x)
Outputs
(+.f64 x (fma.f64 (-.f64 z x) y #s(literal 0 binary64)))
(+.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
(+.f64 (fma.f64 z y x) (neg.f64 (*.f64 x y)))
(+.f64 (neg.f64 (*.f64 x y)) (fma.f64 z y x))
(+.f64 (fma.f64 (-.f64 z x) y #s(literal 0 binary64)) x)
(+.f64 (fma.f64 (-.f64 z x) y x) #s(literal 0 binary64))
(+.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) x) x) (fma.f64 z y #s(literal 0 binary64)))
(+.f64 (+.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) x) x) #s(literal 0 binary64)) (fma.f64 z y #s(literal 0 binary64)))
(-.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 x (fma.f64 (-.f64 z x) y #s(literal 0 binary64)))) (/.f64 (*.f64 (-.f64 z x) (*.f64 y (fma.f64 (-.f64 z x) y #s(literal 0 binary64)))) (-.f64 x (fma.f64 (-.f64 z x) y #s(literal 0 binary64)))))
(-.f64 (/.f64 (*.f64 (-.f64 z x) (*.f64 y (fma.f64 (-.f64 z x) y #s(literal 0 binary64)))) (-.f64 (fma.f64 (-.f64 z x) y #s(literal 0 binary64)) x)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 (fma.f64 (-.f64 z x) y #s(literal 0 binary64)) x)))
(-.f64 (/.f64 (*.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) x) x) (fma.f64 y (-.f64 #s(literal 0 binary64) x) x)) (-.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) x) x) (fma.f64 z y #s(literal 0 binary64)))) (/.f64 (fma.f64 z (*.f64 y (fma.f64 z y #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) x) x) (fma.f64 z y #s(literal 0 binary64)))))
(fma.f64 z y (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (-.f64 z x) y x)
(fma.f64 y z (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 y (-.f64 z x) x)
(fma.f64 y (-.f64 #s(literal 0 binary64) x) (fma.f64 z y x))
(fma.f64 (fma.f64 z y #s(literal 0 binary64)) (/.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 z y #s(literal 0 binary64))) (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 z (*.f64 y (fma.f64 z y #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 y (fma.f64 z y #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (fma.f64 z (*.f64 y (fma.f64 z y #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z y #s(literal 0 binary64))) (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 z x) y #s(literal 0 binary64)) (-.f64 (fma.f64 (-.f64 z x) y #s(literal 0 binary64)) x) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 (-.f64 z x) y x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (-.f64 z x) y #s(literal 0 binary64)) (-.f64 (fma.f64 (-.f64 z x) y #s(literal 0 binary64)) x) (fma.f64 x x #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 z x) y #s(literal 0 binary64)) (-.f64 (fma.f64 (-.f64 z x) y #s(literal 0 binary64)) x) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 (-.f64 z x) y x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z x) (*.f64 y (fma.f64 (-.f64 z x) y #s(literal 0 binary64))) (*.f64 x (-.f64 x (fma.f64 (-.f64 z x) y #s(literal 0 binary64)))))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (neg.f64 (*.f64 x y)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)) (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 z (*.f64 y (fma.f64 z y #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (-.f64 (fma.f64 z y #s(literal 0 binary64)) (neg.f64 (*.f64 x y))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)))) x)
(fma.f64 (*.f64 (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (-.f64 (fma.f64 z y #s(literal 0 binary64)) x) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 z y x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (-.f64 (fma.f64 z y #s(literal 0 binary64)) x) (fma.f64 x x #s(literal 0 binary64)))) (neg.f64 (*.f64 x y)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) y (fma.f64 z y x))
(fma.f64 (*.f64 (fma.f64 (-.f64 z x) y x) (-.f64 x (fma.f64 (-.f64 z x) y #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 (-.f64 z x) y #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 (-.f64 z x) y x) (-.f64 (fma.f64 (-.f64 z x) y #s(literal 0 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (-.f64 z x) y #s(literal 0 binary64)) x)) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 (-.f64 z x) y #s(literal 0 binary64)) (*.f64 y (-.f64 (-.f64 #s(literal 0 binary64) x) z))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (-.f64 #s(literal 0 binary64) x) z))) x)
(fma.f64 (*.f64 (fma.f64 z y x) (-.f64 x (fma.f64 z y #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 z y #s(literal 0 binary64)))) (neg.f64 (*.f64 x y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y #s(literal 0 binary64))) (/.f64 (fma.f64 z y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z y #s(literal 0 binary64)))) (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (/.f64 (fma.f64 z (*.f64 y (fma.f64 z y #s(literal 0 binary64))) #s(literal 0 binary64)) y) (/.f64 (fma.f64 z y #s(literal 0 binary64)) (*.f64 z (fma.f64 z y #s(literal 0 binary64)))) (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (/.f64 (fma.f64 z (*.f64 y (fma.f64 z y #s(literal 0 binary64))) #s(literal 0 binary64)) z) (/.f64 (fma.f64 z y #s(literal 0 binary64)) (*.f64 y (fma.f64 z y #s(literal 0 binary64)))) (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (/.f64 (fma.f64 z y #s(literal 0 binary64)) z) (/.f64 (fma.f64 z (*.f64 y (fma.f64 z y #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 y (fma.f64 z y #s(literal 0 binary64)))) (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (/.f64 (fma.f64 z y #s(literal 0 binary64)) z) (/.f64 (fma.f64 z y #s(literal 0 binary64)) y) (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (/.f64 (fma.f64 z y #s(literal 0 binary64)) y) (/.f64 (fma.f64 z y #s(literal 0 binary64)) z) (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (/.f64 (fma.f64 z y #s(literal 0 binary64)) y) (/.f64 (fma.f64 z (*.f64 y (fma.f64 z y #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 z (fma.f64 z y #s(literal 0 binary64)))) (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (/.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 z y #s(literal 0 binary64))) (fma.f64 z y #s(literal 0 binary64)) (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (/.f64 (fma.f64 z y #s(literal 0 binary64)) (*.f64 z z)) (/.f64 (fma.f64 z (*.f64 y (fma.f64 z y #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 y y)) (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (/.f64 (fma.f64 z (*.f64 y (fma.f64 z y #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 y y)) (/.f64 (fma.f64 z y #s(literal 0 binary64)) (*.f64 z z)) (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (/.f64 (fma.f64 z y #s(literal 0 binary64)) (*.f64 y y)) (/.f64 (fma.f64 z (*.f64 y (fma.f64 z y #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 z z)) (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (/.f64 (fma.f64 z (*.f64 y (fma.f64 z y #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 z z)) (/.f64 (fma.f64 z y #s(literal 0 binary64)) (*.f64 y y)) (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (/.f64 (fma.f64 z y #s(literal 0 binary64)) (*.f64 (fma.f64 z y #s(literal 0 binary64)) z)) (/.f64 (fma.f64 z (*.f64 y (fma.f64 z y #s(literal 0 binary64))) #s(literal 0 binary64)) y) (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (/.f64 (fma.f64 z y #s(literal 0 binary64)) (*.f64 (fma.f64 z y #s(literal 0 binary64)) y)) (/.f64 (fma.f64 z (*.f64 y (fma.f64 z y #s(literal 0 binary64))) #s(literal 0 binary64)) z) (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (/.f64 (fma.f64 z (*.f64 y (fma.f64 z y #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 z y #s(literal 0 binary64)) z)) (/.f64 (fma.f64 z y #s(literal 0 binary64)) y) (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (/.f64 (fma.f64 z (*.f64 y (fma.f64 z y #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (fma.f64 z y #s(literal 0 binary64)) y)) (/.f64 (fma.f64 z y #s(literal 0 binary64)) z) (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (/.f64 (*.f64 z (*.f64 z z)) z) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y (fma.f64 z y #s(literal 0 binary64)))) (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (/.f64 (*.f64 z (*.f64 z z)) y) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (fma.f64 z y #s(literal 0 binary64)))) (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z y #s(literal 0 binary64))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 z y #s(literal 0 binary64))) (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 z y #s(literal 0 binary64))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z y #s(literal 0 binary64))) (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (/.f64 (*.f64 z (*.f64 z z)) (*.f64 z z)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)) (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 y y)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 z z)) (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y y)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z z)) (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z z)) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y y)) (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (/.f64 (*.f64 z (*.f64 z z)) (*.f64 (fma.f64 z y #s(literal 0 binary64)) z)) (/.f64 (*.f64 y (*.f64 y y)) y) (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (/.f64 (*.f64 y (*.f64 y y)) y) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 z (fma.f64 z y #s(literal 0 binary64)))) (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (/.f64 (*.f64 z (*.f64 z z)) (*.f64 (fma.f64 z y #s(literal 0 binary64)) y)) (/.f64 (*.f64 y (*.f64 y y)) z) (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (/.f64 (*.f64 y (*.f64 y y)) z) (/.f64 (*.f64 z (*.f64 z z)) (*.f64 y (fma.f64 z y #s(literal 0 binary64)))) (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
(fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 z y #s(literal 0 binary64)) z)) (/.f64 (*.f64 z (*.f64 z z)) y) (fma.f64 y (-.f64 #s(literal 0 binary64) x) x))
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(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 z x) (*.f64 y (fma.f64 (-.f64 z x) y #s(literal 0 binary64)))) (-.f64 (fma.f64 (-.f64 z x) y #s(literal 0 binary64)) x)) (*.f64 (-.f64 (fma.f64 (-.f64 z x) y #s(literal 0 binary64)) x) (fma.f64 x x #s(literal 0 binary64)))) (*.f64 (-.f64 (fma.f64 (-.f64 z x) y #s(literal 0 binary64)) x) (-.f64 (fma.f64 (-.f64 z x) y #s(literal 0 binary64)) x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 z x) y #s(literal 0 binary64)) (-.f64 (fma.f64 (-.f64 z x) y #s(literal 0 binary64)) x) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 (-.f64 z x) y x)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 z x) y #s(literal 0 binary64)) (-.f64 (fma.f64 (-.f64 z x) y #s(literal 0 binary64)) x) (fma.f64 x x #s(literal 0 binary64))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 z x) y #s(literal 0 binary64)) (-.f64 (fma.f64 (-.f64 z x) y #s(literal 0 binary64)) x) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 (-.f64 z x) y x)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 z x) (*.f64 y (fma.f64 (-.f64 z x) y #s(literal 0 binary64))) (*.f64 x (-.f64 x (fma.f64 (-.f64 z x) y #s(literal 0 binary64))))))))
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(/.f64 (+.f64 (pow.f64 (fma.f64 z y x) #s(literal 3 binary64)) (*.f64 (neg.f64 (*.f64 x y)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)))) (fma.f64 (fma.f64 z y x) (fma.f64 z y x) (-.f64 (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 y y)) (*.f64 (fma.f64 z y x) (neg.f64 (*.f64 x y))))))
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(/.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 z x) y x) #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 (-.f64 z x) y x) (fma.f64 (-.f64 z x) y x) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (-.f64 z x) y x) #s(literal 0 binary64)))))
(/.f64 (+.f64 (pow.f64 (+.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) x) x) #s(literal 0 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 z y #s(literal 0 binary64)) (fma.f64 z (*.f64 y (fma.f64 z y #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (+.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) x) x) #s(literal 0 binary64)) (+.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) x) x) #s(literal 0 binary64)) (-.f64 (fma.f64 z (*.f64 y (fma.f64 z y #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (+.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) x) x) #s(literal 0 binary64)) (fma.f64 z y #s(literal 0 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 x (fma.f64 (-.f64 z x) y #s(literal 0 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (-.f64 z x) (*.f64 y (fma.f64 (-.f64 z x) y #s(literal 0 binary64)))) (-.f64 x (fma.f64 (-.f64 z x) y #s(literal 0 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 x (fma.f64 (-.f64 z x) y #s(literal 0 binary64)))) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 x (fma.f64 (-.f64 z x) y #s(literal 0 binary64)))) (fma.f64 (/.f64 (*.f64 (-.f64 z x) (*.f64 y (fma.f64 (-.f64 z x) y #s(literal 0 binary64)))) (-.f64 x (fma.f64 (-.f64 z x) y #s(literal 0 binary64)))) (/.f64 (*.f64 (-.f64 z x) (*.f64 y (fma.f64 (-.f64 z x) y #s(literal 0 binary64)))) (-.f64 x (fma.f64 (-.f64 z x) y #s(literal 0 binary64)))) (*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 x (fma.f64 (-.f64 z x) y #s(literal 0 binary64)))) (/.f64 (*.f64 (-.f64 z x) (*.f64 y (fma.f64 (-.f64 z x) y #s(literal 0 binary64)))) (-.f64 x (fma.f64 (-.f64 z x) y #s(literal 0 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 z x) (*.f64 y (fma.f64 (-.f64 z x) y #s(literal 0 binary64)))) (-.f64 (fma.f64 (-.f64 z x) y #s(literal 0 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 (fma.f64 (-.f64 z x) y #s(literal 0 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (-.f64 z x) (*.f64 y (fma.f64 (-.f64 z x) y #s(literal 0 binary64)))) (-.f64 (fma.f64 (-.f64 z x) y #s(literal 0 binary64)) x)) (/.f64 (*.f64 (-.f64 z x) (*.f64 y (fma.f64 (-.f64 z x) y #s(literal 0 binary64)))) (-.f64 (fma.f64 (-.f64 z x) y #s(literal 0 binary64)) x)) (fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 (fma.f64 (-.f64 z x) y #s(literal 0 binary64)) x)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 (fma.f64 (-.f64 z x) y #s(literal 0 binary64)) x)) (*.f64 (/.f64 (*.f64 (-.f64 z x) (*.f64 y (fma.f64 (-.f64 z x) y #s(literal 0 binary64)))) (-.f64 (fma.f64 (-.f64 z x) y #s(literal 0 binary64)) x)) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 (fma.f64 (-.f64 z x) y #s(literal 0 binary64)) x))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z x) y x)) #s(literal -1 binary64))
(*.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 z x) y #s(literal 0 binary64)) (-.f64 (fma.f64 (-.f64 z x) y #s(literal 0 binary64)) x) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 (-.f64 z x) y x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (-.f64 z x) y #s(literal 0 binary64)) (-.f64 (fma.f64 (-.f64 z x) y #s(literal 0 binary64)) x) (fma.f64 x x #s(literal 0 binary64)))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (-.f64 z x) y #s(literal 0 binary64)) (-.f64 (fma.f64 (-.f64 z x) y #s(literal 0 binary64)) x) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 (-.f64 z x) y x)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z x) (*.f64 y (fma.f64 (-.f64 z x) y #s(literal 0 binary64))) (*.f64 x (-.f64 x (fma.f64 (-.f64 z x) y #s(literal 0 binary64)))))))
(*.f64 (*.f64 (fma.f64 (-.f64 z x) y x) (-.f64 x (fma.f64 (-.f64 z x) y #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (fma.f64 (-.f64 z x) y #s(literal 0 binary64)))))
(*.f64 (*.f64 (fma.f64 (-.f64 z x) y x) (-.f64 (fma.f64 (-.f64 z x) y #s(literal 0 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (-.f64 z x) y #s(literal 0 binary64)) x)))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))
(+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (/.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) x) x)
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(neg.f64 x)
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) x)
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)))) (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64))))) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) x)))
(/.f64 (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (fma.f64 x x (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (fma.f64 (*.f64 x (/.f64 x x)) (*.f64 x (/.f64 x x)) (*.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 x (/.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (fma.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 0 binary64) x) (fma.f64 x x (*.f64 (/.f64 #s(literal 0 binary64) x) x))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (fma.f64 x x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) x)

simplify386.0ms (5.7%)

Memory
-6.4MiB live, 547.3MiB allocated
Algorithm
1×egg-herbie
Rules
8 236×accelerator-lowering-fma.f32
8 236×accelerator-lowering-fma.f64
2 882×*-lowering-*.f32
2 882×*-lowering-*.f64
1 476×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01001010
13431004
29511004
323741004
444591004
561201004
674921004
08098923
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
Calls
Call 1
Inputs
(+ 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)))))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
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(* y z)
(* y z)
(* y z)
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(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
x
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (/ (* y z) x)))
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* y z)
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* y z)
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* 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)))))
(* y (+ z (* -1 x)))
(* y (+ z (* -1 x)))
(* y (+ z (* -1 x)))
(* y (+ z (* -1 x)))
(* y (+ z (* -1 x)))
(* y (+ z (* -1 x)))
(* y (+ z (* -1 x)))
(* y (+ z (* -1 x)))
(* -1 (* y (+ x (* -1 z))))
(* -1 (* y (+ x (* -1 z))))
(* -1 (* y (+ x (* -1 z))))
(* -1 (* y (+ x (* -1 z))))
(* -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)
(+ (* 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 (* -1 x))))
(+ x (* y (+ z (* -1 x))))
(+ x (* y (+ z (* -1 x))))
(* y (+ z (* -1 x)))
(* y (+ z (+ (* -1 x) (/ x y))))
(* y (+ z (+ (* -1 x) (/ x y))))
(* y (+ z (+ (* -1 x) (/ x y))))
(* -1 (* y (+ x (* -1 z))))
(* -1 (* y (+ x (+ (* -1 z) (* -1 (/ x y))))))
(* -1 (* y (+ x (+ (* -1 z) (* -1 (/ x y))))))
(* -1 (* y (+ x (+ (* -1 z) (* -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)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
Outputs
(+ 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 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)
(* -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)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
x
(* x (+ 1 (/ (* y z) x)))
(fma.f64 y z x)
(* x (+ 1 (/ (* y z) x)))
(fma.f64 y z x)
(* x (+ 1 (/ (* y z) x)))
(fma.f64 y z x)
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(fma.f64 y z x)
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(fma.f64 y z x)
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(fma.f64 y z x)
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y (+ z (/ x y)))
(fma.f64 y z x)
(* y (+ z (/ x y)))
(fma.f64 y z x)
(* y (+ z (/ x y)))
(fma.f64 y z x)
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(fma.f64 y z x)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(fma.f64 y z x)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(fma.f64 y z x)
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* z (+ y (/ x z)))
(fma.f64 y z x)
(* z (+ y (/ x z)))
(fma.f64 y z x)
(* z (+ y (/ x z)))
(fma.f64 y z x)
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(fma.f64 y z x)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(fma.f64 y z x)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(fma.f64 y z x)
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #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 x y #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 x y #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))
(* y (+ z (* -1 x)))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* y (+ z (* -1 x)))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* y (+ z (* -1 x)))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* y (+ z (* -1 x)))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* y (+ z (* -1 x)))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* y (+ z (* -1 x)))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* y (+ z (* -1 x)))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* y (+ z (* -1 x)))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* -1 (* y (+ x (* -1 z))))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* -1 (* y (+ x (* -1 z))))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* -1 (* y (+ x (* -1 z))))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* -1 (* y (+ x (* -1 z))))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (fma.f64 x 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))
(* 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))
(+ (* 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 (* -1 x))))
(fma.f64 y (-.f64 z x) x)
(+ x (* y (+ z (* -1 x))))
(fma.f64 y (-.f64 z x) x)
(+ x (* y (+ z (* -1 x))))
(fma.f64 y (-.f64 z x) x)
(* y (+ z (* -1 x)))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* y (+ z (+ (* -1 x) (/ x y))))
(fma.f64 y (-.f64 z x) x)
(* y (+ z (+ (* -1 x) (/ x y))))
(fma.f64 y (-.f64 z x) x)
(* y (+ z (+ (* -1 x) (/ x y))))
(fma.f64 y (-.f64 z x) x)
(* -1 (* y (+ x (* -1 z))))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* -1 (* y (+ x (+ (* -1 z) (* -1 (/ x y))))))
(fma.f64 y (-.f64 z x) x)
(* -1 (* y (+ x (+ (* -1 z) (* -1 (/ x y))))))
(fma.f64 y (-.f64 z x) x)
(* -1 (* y (+ x (+ (* -1 z) (* -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)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)

eval201.0ms (3%)

Memory
3.4MiB live, 475.4MiB allocated
Compiler

Compiled 49 753 to 2 704 computations (94.6% saved)

prune212.0ms (3.1%)

Memory
0.8MiB live, 354.7MiB allocated
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1 69331 696
Fresh101
Picked325
Done000
Total1 69751 702
Accuracy
100.0%
Counts
1 702 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 (-.f64 z x) y x)
▶98.4%
(fma.f64 (-.f64 #s(literal 0 binary64) x) y (fma.f64 z y x))
▶74.0%
(fma.f64 z y x)
▶40.3%
(*.f64 z y)
✓36.1%
x
Compiler

Compiled 38 to 23 computations (39.5% saved)

simplify56.0ms (0.8%)

Memory
-0.0MiB live, 37.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 z y x)
✓cost-diff0
(-.f64 #s(literal 0 binary64) x)
✓cost-diff384
(fma.f64 (-.f64 #s(literal 0 binary64) x) y (fma.f64 z y x))
✓cost-diff0
(fma.f64 z y x)
✓cost-diff-64
(*.f64 z y)
Rules
608×accelerator-lowering-fma.f32
608×accelerator-lowering-fma.f64
240×*-lowering-*.f32
240×*-lowering-*.f64
152×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0934
11832
23932
38231
413431
522431
637931
753131
868431
969431
069428
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* z y)
z
y
(+ (* z y) x)
z
y
x
(+ (* (- 0 x) y) (+ (* z y) x))
(- 0 x)
0
x
y
(+ (* z y) x)
z
Outputs
(* z y)
(fma.f64 z y #s(literal 0 binary64))
z
y
(+ (* z y) x)
(fma.f64 z y x)
z
y
x
(+ (* (- 0 x) y) (+ (* z y) x))
(fma.f64 y (-.f64 z x) x)
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
x
y
(+ (* z y) x)
(fma.f64 z y x)
z

localize31.0ms (0.5%)

Memory
-17.1MiB live, 43.3MiB allocated
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 z y x)
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) x)
✓accuracy98.4%
(fma.f64 (-.f64 #s(literal 0 binary64) x) y (fma.f64 z y x))
✓accuracy100.0%
(fma.f64 z y x)
✓accuracy100.0%
(*.f64 z y)
Samples
21.0ms256×0valid
Compiler

Compiled 34 to 11 computations (67.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (56% of total)
ival-add: 2.0ms (28% of total)
ival-sub: 1.0ms (14% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated
Counts
4 → 108
Calls
Call 1
Inputs
#<alt (* z y)>
#<alt (+ (* z y) x)>
#<alt (+ (* (- 0 x) y) (+ (* z y) x))>
#<alt (- 0 x)>
Outputs
#<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>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (* y z)>
#<alt (* z (+ y (/ x z)))>
#<alt (* z (+ y (/ x z)))>
#<alt (* z (+ y (/ x z)))>
#<alt (* y z)>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (* y z)>
#<alt (* y (+ z (/ x y)))>
#<alt (* y (+ z (/ x y)))>
#<alt (* y (+ z (/ x y)))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* y z)>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt x>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<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 (* -1 x))))>
#<alt (+ x (* y (+ z (* -1 x))))>
#<alt (+ x (* y (+ z (* -1 x))))>
#<alt (* y (+ z (* -1 x)))>
#<alt (* y (+ z (+ (* -1 x) (/ x y))))>
#<alt (* y (+ z (+ (* -1 x) (/ x y))))>
#<alt (* y (+ z (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ x (* -1 z))))>
#<alt (* -1 (* y (+ x (+ (* -1 z) (* -1 (/ x y))))))>
#<alt (* -1 (* y (+ x (+ (* -1 z) (* -1 (/ x y))))))>
#<alt (* -1 (* y (+ x (+ (* -1 z) (* -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 (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
Calls

27 calls:

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

rewrite438.0ms (6.5%)

Memory
-27.9MiB live, 662.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8 672×accelerator-lowering-fma.f32
8 672×accelerator-lowering-fma.f64
5 128×*-lowering-*.f32
5 128×*-lowering-*.f64
3 994×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
15318
250818
0886916
Stop Event
1×iter limit
1×node limit
Counts
4 → 387
Calls
Call 1
Inputs
(* z y)
(+ (* z y) x)
(+ (* (- 0 x) y) (+ (* z y) x))
(- 0 x)
Outputs
(*.f64 z y)
(*.f64 y z)
(+.f64 (*.f64 z y) x)
(+.f64 x (*.f64 z y))
(+.f64 x (+.f64 #s(literal 0 binary64) (*.f64 z y)))
(+.f64 (fma.f64 z y x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 z y x))
(+.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 y y))) (fma.f64 z y (-.f64 #s(literal 0 binary64) x))) (neg.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 z y (-.f64 #s(literal 0 binary64) x)))))
(+.f64 (fma.f64 z y #s(literal 0 binary64)) x)
(-.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 y y))) (fma.f64 z y (-.f64 #s(literal 0 binary64) x))) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 z y (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 x (*.f64 z y))) (/.f64 (*.f64 z (*.f64 z (*.f64 y y))) (-.f64 x (*.f64 z y))))
(fma.f64 z y x)
(fma.f64 y z x)
(fma.f64 x (/.f64 x x) (*.f64 z y))
(fma.f64 x (/.f64 x x) (+.f64 #s(literal 0 binary64) (*.f64 z y)))
(fma.f64 (fma.f64 z y x) (*.f64 (fma.f64 z y (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 z y (-.f64 #s(literal 0 binary64) x)))) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 z y) (fma.f64 z y (-.f64 #s(literal 0 binary64) x)))) (fma.f64 z y x)) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 z y))))) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 z y) (fma.f64 z y (-.f64 #s(literal 0 binary64) x)))) (fma.f64 z y x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 z y) (fma.f64 z y (-.f64 #s(literal 0 binary64) x))))) #s(literal 0 binary64))
(fma.f64 (*.f64 z (*.f64 z (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 z y (-.f64 #s(literal 0 binary64) x))) (neg.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 z y (-.f64 #s(literal 0 binary64) x)))))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) x) (*.f64 z y))
(fma.f64 (fma.f64 x x #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 0 binary64) (*.f64 z y)))
(fma.f64 (fma.f64 z (*.f64 z (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 z y)))) (*.f64 (fma.f64 z y x) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 z y)))))) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 z y x) (fma.f64 z y (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 z y (-.f64 #s(literal 0 binary64) x))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 z y))
(fma.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 0 binary64) (*.f64 z y)))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x x (*.f64 (*.f64 z y) (fma.f64 z y (-.f64 #s(literal 0 binary64) x)))) (fma.f64 z y x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 z (*.f64 z (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 z y)))))) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 z y x) (fma.f64 z (neg.f64 y) x)) (/.f64 #s(literal 1 binary64) (fma.f64 z (neg.f64 y) x)) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (*.f64 z y))
(fma.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 z y)))
(fma.f64 #s(literal 1 binary64) (fma.f64 z y x) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (*.f64 z y))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 z y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 z y))))) (*.f64 (fma.f64 x x (*.f64 (*.f64 z y) (fma.f64 z y (-.f64 #s(literal 0 binary64) x)))) (fma.f64 z y x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z y (-.f64 #s(literal 0 binary64) x))) (*.f64 (fma.f64 z y x) (fma.f64 z y (-.f64 #s(literal 0 binary64) x))) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 z y x) (-.f64 x (*.f64 z y))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z y))) #s(literal 0 binary64))
(fma.f64 (/.f64 x x) x (*.f64 z y))
(fma.f64 (/.f64 x x) x (+.f64 #s(literal 0 binary64) (*.f64 z y)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (*.f64 z y))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) x) (+.f64 #s(literal 0 binary64) (*.f64 z y)))
(fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64)) (*.f64 z y))
(fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x x #s(literal 0 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 z y)))
(fma.f64 (/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)) (*.f64 z y))
(fma.f64 (/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 x x #s(literal 0 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 z y)))
(fma.f64 (/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))) x (*.f64 z y))
(fma.f64 (/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))) x (+.f64 #s(literal 0 binary64) (*.f64 z y)))
(fma.f64 (/.f64 (*.f64 (fma.f64 z y x) (fma.f64 z y (-.f64 #s(literal 0 binary64) x))) (*.f64 (fma.f64 z y x) (fma.f64 z y (-.f64 #s(literal 0 binary64) x)))) (fma.f64 z y x) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) x) (*.f64 z y))
(fma.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 0 binary64) (*.f64 z y)))
(fma.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 y y))) (*.f64 (fma.f64 z y x) (fma.f64 z y (-.f64 #s(literal 0 binary64) x)))) (fma.f64 z y x) (neg.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 z y (-.f64 #s(literal 0 binary64) x)))))
(fma.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 y y))) (fma.f64 (*.f64 z y) (*.f64 z (*.f64 z (*.f64 y y))) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))) (fma.f64 z (*.f64 z (*.f64 y y)) (*.f64 x (fma.f64 z y x))) (neg.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 z y (-.f64 #s(literal 0 binary64) x)))))
(fma.f64 (/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) x) (*.f64 z y))
(fma.f64 (/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 0 binary64) (*.f64 z y)))
(fma.f64 (/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 z y))
(fma.f64 (/.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (+.f64 #s(literal 0 binary64) (*.f64 z y)))
(fma.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 z y) (fma.f64 z y (-.f64 #s(literal 0 binary64) x)))) (fma.f64 z y x)) (fma.f64 (*.f64 z y) (*.f64 (*.f64 z (*.f64 z (*.f64 y y))) (*.f64 (*.f64 z y) (*.f64 z (*.f64 z (*.f64 y y))))) (*.f64 (*.f64 x (-.f64 x (*.f64 z y))) (*.f64 (*.f64 x (-.f64 x (*.f64 z y))) (*.f64 x (-.f64 x (*.f64 z y))))))) (fma.f64 z (*.f64 (*.f64 z (*.f64 y y)) (*.f64 z (*.f64 z (*.f64 y y)))) (*.f64 (*.f64 x (-.f64 x (*.f64 z y))) (-.f64 (*.f64 x (-.f64 x (*.f64 z y))) (*.f64 z (*.f64 z (*.f64 y y)))))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (fma.f64 x x (*.f64 (*.f64 z y) (fma.f64 z y (-.f64 #s(literal 0 binary64) x)))) (fma.f64 z y x)) (*.f64 (fma.f64 z (*.f64 z (*.f64 y y)) (*.f64 x (-.f64 x (*.f64 z y)))) (fma.f64 (fma.f64 z y x) (fma.f64 z y (-.f64 #s(literal 0 binary64) x)) (*.f64 z (fma.f64 y x #s(literal 0 binary64)))))) (fma.f64 (fma.f64 z y x) (fma.f64 z y (-.f64 #s(literal 0 binary64) x)) (*.f64 z (fma.f64 y x #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (fma.f64 z y x) (fma.f64 z y (-.f64 #s(literal 0 binary64) x))) (fma.f64 (*.f64 z y) (*.f64 z (*.f64 z (*.f64 y y))) (-.f64 #s(literal 0 binary64) (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64))))) (fma.f64 z (*.f64 z (*.f64 y y)) (*.f64 x (fma.f64 z y x))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 z y))
(fma.f64 (/.f64 (fma.f64 x (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) #s(literal 0 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 z y)))
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(*.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) x))

simplify244.0ms (3.6%)

Memory
32.5MiB live, 419.7MiB allocated
Algorithm
1×egg-herbie
Rules
7 428×accelerator-lowering-fma.f32
7 428×accelerator-lowering-fma.f64
2 826×*-lowering-*.f32
2 826×*-lowering-*.f64
1 090×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071560
1242474
2642474
31658474
44151474
56358474
08172420
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
Calls
Call 1
Inputs
(* 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
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* y z)
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* y z)
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* y z)
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
x
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (/ (* y z) x)))
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* 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 (* -1 x))))
(+ x (* y (+ z (* -1 x))))
(+ x (* y (+ z (* -1 x))))
(* y (+ z (* -1 x)))
(* y (+ z (+ (* -1 x) (/ x y))))
(* y (+ z (+ (* -1 x) (/ x y))))
(* y (+ z (+ (* -1 x) (/ x y))))
(* -1 (* y (+ x (* -1 z))))
(* -1 (* y (+ x (+ (* -1 z) (* -1 (/ x y))))))
(* -1 (* y (+ x (+ (* -1 z) (* -1 (/ x y))))))
(* -1 (* y (+ x (+ (* -1 z) (* -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)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
Outputs
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* z (+ y (/ x z)))
(fma.f64 y z x)
(* z (+ y (/ x z)))
(fma.f64 y z x)
(* z (+ y (/ x z)))
(fma.f64 y z x)
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(fma.f64 y z x)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(fma.f64 y z x)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(fma.f64 y z x)
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y (+ z (/ x y)))
(fma.f64 y z x)
(* y (+ z (/ x y)))
(fma.f64 y z x)
(* y (+ z (/ x y)))
(fma.f64 y z x)
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(fma.f64 y z x)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(fma.f64 y z x)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(fma.f64 y z x)
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
x
(* x (+ 1 (/ (* y z) x)))
(fma.f64 y z x)
(* x (+ 1 (/ (* y z) x)))
(fma.f64 y z x)
(* x (+ 1 (/ (* y z) x)))
(fma.f64 y z x)
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(fma.f64 y z x)
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(fma.f64 y z x)
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(fma.f64 y z x)
(* 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 (* -1 x))))
(fma.f64 y (-.f64 z x) x)
(+ x (* y (+ z (* -1 x))))
(fma.f64 y (-.f64 z x) x)
(+ x (* y (+ z (* -1 x))))
(fma.f64 y (-.f64 z x) x)
(* y (+ z (* -1 x)))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* y (+ z (+ (* -1 x) (/ x y))))
(fma.f64 y (-.f64 z x) x)
(* y (+ z (+ (* -1 x) (/ x y))))
(fma.f64 y (-.f64 z x) x)
(* y (+ z (+ (* -1 x) (/ x y))))
(fma.f64 y (-.f64 z x) x)
(* -1 (* y (+ x (* -1 z))))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* -1 (* y (+ x (+ (* -1 z) (* -1 (/ x y))))))
(fma.f64 y (-.f64 z x) x)
(* -1 (* y (+ x (+ (* -1 z) (* -1 (/ x y))))))
(fma.f64 y (-.f64 z x) x)
(* -1 (* y (+ x (+ (* -1 z) (* -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)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)

eval78.0ms (1.1%)

Memory
-23.9MiB live, 182.6MiB allocated
Compiler

Compiled 18 555 to 1 048 computations (94.4% saved)

prune96.0ms (1.4%)

Memory
23.1MiB live, 217.3MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New6361637
Fresh000
Picked123
Done022
Total6375642
Accuracy
100.0%
Counts
642 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 (-.f64 z x) y x)
▶98.4%
(fma.f64 (neg.f64 y) x (fma.f64 z y x))
✓74.0%
(fma.f64 z y x)
✓40.3%
(*.f64 z y)
✓36.1%
x
Compiler

Compiled 37 to 22 computations (40.5% saved)

simplify58.0ms (0.9%)

Memory
11.7MiB live, 51.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
12019
23818
37717
412717
523917
643317
759617
863017
963217
063215
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* (neg y) x) (+ (* z y) x))
(neg y)
y
x
(+ (* z y) x)
z
Outputs
(+ (* (neg y) x) (+ (* z y) x))
(fma.f64 y (-.f64 z x) x)
(neg y)
(-.f64 #s(literal 0 binary64) y)
y
x
(+ (* z y) x)
(fma.f64 y z x)
z

localize25.0ms (0.4%)

Memory
-7.3MiB live, 73.5MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 z y x)
✓accuracy100.0%
(neg.f64 y)
✓accuracy98.4%
(fma.f64 (neg.f64 y) x (fma.f64 z y x))
Samples
18.0ms256×0valid
Compiler

Compiled 19 to 10 computations (47.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (42.8% of total)
ival-add: 2.0ms (28.5% of total)
ival-neg: 1.0ms (14.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated
Counts
3 → 84
Calls
Call 1
Inputs
#<alt (+ (* (neg y) x) (+ (* z y) x))>
#<alt (+ (* z y) x)>
#<alt (neg y)>
Outputs
#<alt x>
#<alt (+ x (* y (+ z (* -1 x))))>
#<alt (+ x (* y (+ z (* -1 x))))>
#<alt (+ x (* y (+ z (* -1 x))))>
#<alt (* y (+ z (* -1 x)))>
#<alt (* y (+ z (+ (* -1 x) (/ x y))))>
#<alt (* y (+ z (+ (* -1 x) (/ x y))))>
#<alt (* y (+ z (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ x (* -1 z))))>
#<alt (* -1 (* y (+ x (+ (* -1 z) (* -1 (/ x y))))))>
#<alt (* -1 (* y (+ x (+ (* -1 z) (* -1 (/ x y))))))>
#<alt (* -1 (* y (+ x (+ (* -1 z) (* -1 (/ x y))))))>
#<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 (* -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 x>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (* y z)>
#<alt (* z (+ y (/ x z)))>
#<alt (* z (+ y (/ x z)))>
#<alt (* z (+ y (/ x z)))>
#<alt (* y z)>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))>
#<alt x>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (* y z)>
#<alt (* y (+ z (/ x y)))>
#<alt (* y (+ z (/ x y)))>
#<alt (* y (+ z (/ x y)))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))>
#<alt (* y z)>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt (+ x (* y z))>
#<alt x>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt (* x (+ 1 (/ (* y z) x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y z) x)) 1)))>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
Calls

21 calls:

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

rewrite399.0ms (5.9%)

Memory
13.3MiB live, 724.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 988×accelerator-lowering-fma.f32
7 988×accelerator-lowering-fma.f64
4 738×*-lowering-*.f32
4 738×*-lowering-*.f64
2 598×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0817
14516
239815
3626915
0812313
Stop Event
1×iter limit
1×node limit
Counts
3 → 216
Calls
Call 1
Inputs
(+ (* (neg y) x) (+ (* z y) x))
(+ (* z y) x)
(neg y)
Outputs
(+.f64 x (*.f64 y (+.f64 (-.f64 #s(literal 0 binary64) x) z)))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (fma.f64 y z x))
(+.f64 (*.f64 y z) (-.f64 x (*.f64 y x)))
(+.f64 (fma.f64 y z x) (*.f64 (-.f64 #s(literal 0 binary64) y) x))
(+.f64 (*.f64 y (+.f64 (-.f64 #s(literal 0 binary64) x) z)) x)
(+.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) x) z) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (/.f64 (*.f64 (fma.f64 y z x) (fma.f64 y z x)) (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) x) z) (-.f64 #s(literal 0 binary64) x)))))
(+.f64 (-.f64 x (*.f64 y x)) (*.f64 y z))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 (-.f64 #s(literal 0 binary64) x) z) x))) #s(literal -1 binary64)))
(-.f64 (fma.f64 y z x) (*.f64 y x))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y x) (fma.f64 y z x)))
(-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (-.f64 (*.f64 y z) x)) (-.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y z) x)) (*.f64 (-.f64 #s(literal 0 binary64) y) x)))
(-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (-.f64 (*.f64 y z) x)) (fma.f64 x (/.f64 x (-.f64 (*.f64 y z) x)) (*.f64 y x)))
(-.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) x) z) (-.f64 #s(literal 0 binary64) x))) (/.f64 (*.f64 (fma.f64 y z x) (fma.f64 y z x)) (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) x) z) (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 (*.f64 (fma.f64 y z x) (fma.f64 y z x)) (+.f64 (fma.f64 y z x) (*.f64 y x))) (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (+.f64 (fma.f64 y z x) (*.f64 y x))))
(-.f64 (/.f64 (*.f64 (*.f64 y (+.f64 (-.f64 #s(literal 0 binary64) x) z)) (*.f64 y (+.f64 (-.f64 #s(literal 0 binary64) x) z))) (fma.f64 y (+.f64 (-.f64 #s(literal 0 binary64) x) z) (-.f64 #s(literal 0 binary64) x))) (/.f64 (*.f64 x x) (fma.f64 y (+.f64 (-.f64 #s(literal 0 binary64) x) z) (-.f64 #s(literal 0 binary64) x))))
(-.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 y (*.f64 y (*.f64 z z))) (-.f64 (*.f64 y z) x))) (/.f64 (*.f64 x x) (-.f64 (*.f64 y z) x)))
(-.f64 (+.f64 (fma.f64 y z x) #s(literal 0 binary64)) (*.f64 y x))
(fma.f64 y z (-.f64 x (*.f64 y x)))
(fma.f64 y (-.f64 #s(literal 0 binary64) x) (fma.f64 y z x))
(fma.f64 y (+.f64 (-.f64 #s(literal 0 binary64) x) z) x)
(fma.f64 y (+.f64 z (-.f64 #s(literal 0 binary64) x)) x)
(fma.f64 (-.f64 #s(literal 0 binary64) y) x (fma.f64 y z x))
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(*.f64 (/.f64 (*.f64 (fma.f64 y z x) (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x)))) (*.f64 (fma.f64 x x (*.f64 (*.f64 y z) (-.f64 (*.f64 y z) x))) (fma.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x) (*.f64 y (*.f64 x z))))) (fma.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x) (*.f64 y (*.f64 x z))))
(*.f64 (/.f64 (*.f64 (fma.f64 y z x) (-.f64 (*.f64 y z) x)) (fma.f64 (*.f64 y (*.f64 y z)) (*.f64 y (*.f64 z z)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) x))) (fma.f64 y (*.f64 y (*.f64 z z)) (*.f64 x (fma.f64 y z x))))
(+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y))
(-.f64 #s(literal 0 binary64) y)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (fma.f64 y y #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (fma.f64 y y #s(literal 0 binary64)) y))
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(neg.f64 y)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (fma.f64 y y #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (+.f64 #s(literal 0 binary64) (-.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) y)
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) y))
(pow.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64)))) #s(literal -1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) y))

simplify275.0ms (4.1%)

Memory
-20.9MiB live, 378.1MiB allocated
Algorithm
1×egg-herbie
Rules
7 428×accelerator-lowering-fma.f32
7 428×accelerator-lowering-fma.f64
2 826×*-lowering-*.f32
2 826×*-lowering-*.f64
1 088×associate-/r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071434
1242402
2642402
31651402
44153402
56351402
08183348
Stop Event
1×iter limit
1×node limit
Counts
84 → 84
Calls
Call 1
Inputs
x
(+ x (* y (+ z (* -1 x))))
(+ x (* y (+ z (* -1 x))))
(+ x (* y (+ z (* -1 x))))
(* y (+ z (* -1 x)))
(* y (+ z (+ (* -1 x) (/ x y))))
(* y (+ z (+ (* -1 x) (/ x y))))
(* y (+ z (+ (* -1 x) (/ x y))))
(* -1 (* y (+ x (* -1 z))))
(* -1 (* y (+ x (+ (* -1 z) (* -1 (/ x y))))))
(* -1 (* y (+ x (+ (* -1 z) (* -1 (/ x y))))))
(* -1 (* y (+ x (+ (* -1 z) (* -1 (/ x y))))))
(* 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 (* -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)))))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* y z)
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* z (+ y (/ x z)))
(* y z)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
x
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
(* y z)
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y (+ z (/ x y)))
(* y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(* y z)
(+ x (* y z))
(+ x (* y z))
(+ x (* y z))
x
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (/ (* y z) x)))
(* x (+ 1 (/ (* y z) x)))
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
(* -1 y)
Outputs
x
(+ x (* y (+ z (* -1 x))))
(fma.f64 y (-.f64 z x) x)
(+ x (* y (+ z (* -1 x))))
(fma.f64 y (-.f64 z x) x)
(+ x (* y (+ z (* -1 x))))
(fma.f64 y (-.f64 z x) x)
(* y (+ z (* -1 x)))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* y (+ z (+ (* -1 x) (/ x y))))
(fma.f64 y (-.f64 z x) x)
(* y (+ z (+ (* -1 x) (/ x y))))
(fma.f64 y (-.f64 z x) x)
(* y (+ z (+ (* -1 x) (/ x y))))
(fma.f64 y (-.f64 z x) x)
(* -1 (* y (+ x (* -1 z))))
(fma.f64 y (-.f64 z x) #s(literal 0 binary64))
(* -1 (* y (+ x (+ (* -1 z) (* -1 (/ x y))))))
(fma.f64 y (-.f64 z x) x)
(* -1 (* y (+ x (+ (* -1 z) (* -1 (/ x y))))))
(fma.f64 y (-.f64 z x) x)
(* -1 (* y (+ x (+ (* -1 z) (* -1 (/ x y))))))
(fma.f64 y (-.f64 z x) x)
(* 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 (* -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)
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* z (+ y (/ x z)))
(fma.f64 y z x)
(* z (+ y (/ x z)))
(fma.f64 y z x)
(* z (+ y (/ x z)))
(fma.f64 y z x)
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(fma.f64 y z x)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(fma.f64 y z x)
(* -1 (* z (+ (* -1 y) (* -1 (/ x z)))))
(fma.f64 y z x)
x
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* y (+ z (/ x y)))
(fma.f64 y z x)
(* y (+ z (/ x y)))
(fma.f64 y z x)
(* y (+ z (/ x y)))
(fma.f64 y z x)
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(fma.f64 y z x)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(fma.f64 y z x)
(* -1 (* y (+ (* -1 z) (* -1 (/ x y)))))
(fma.f64 y z x)
(* y z)
(fma.f64 y z #s(literal 0 binary64))
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
(+ x (* y z))
(fma.f64 y z x)
x
(* x (+ 1 (/ (* y z) x)))
(fma.f64 y z x)
(* x (+ 1 (/ (* y z) x)))
(fma.f64 y z x)
(* x (+ 1 (/ (* y z) x)))
(fma.f64 y z x)
x
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(fma.f64 y z x)
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(fma.f64 y z x)
(* -1 (* x (- (* -1 (/ (* y z) x)) 1)))
(fma.f64 y z x)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)

eval37.0ms (0.5%)

Memory
8.5MiB live, 80.1MiB allocated
Compiler

Compiled 8 997 to 632 computations (93% saved)

prune40.0ms (0.6%)

Memory
12.3MiB live, 93.1MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New2991300
Fresh000
Picked011
Done044
Total2996305
Accuracy
100.0%
Counts
305 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 (-.f64 z x) y x)
✓98.4%
(fma.f64 (neg.f64 y) x (fma.f64 z y x))
63.6%
(fma.f64 (neg.f64 y) x x)
✓74.0%
(fma.f64 z y x)
✓40.3%
(*.f64 z y)
✓36.1%
x
Compiler

Compiled 121 to 49 computations (59.5% saved)

regimes20.0ms (0.3%)

Memory
-0.9MiB live, 34.7MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
x
(*.f64 z y)
(fma.f64 y z #s(literal 0 binary64))
(fma.f64 z y x)
(+.f64 x (*.f64 y z))
(fma.f64 (neg.f64 y) x x)
(fma.f64 (-.f64 z x) y x)
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 (neg.f64 y) x (fma.f64 z y x))
(fma.f64 (-.f64 #s(literal 0 binary64) x) y (fma.f64 z y x))
(+.f64 x (fma.f64 (-.f64 #s(literal 0 binary64) x) y (*.f64 y z)))
(+.f64 (+.f64 x (*.f64 y z)) (*.f64 y (-.f64 #s(literal 0 binary64) x)))
Outputs
(fma.f64 (-.f64 z x) y x)
Calls

4 calls:

7.0ms
z
4.0ms
x
4.0ms
y
4.0ms
(+.f64 x (*.f64 y (-.f64 z x)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 x (*.f64 y (-.f64 z x)))
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes15.0ms (0.2%)

Memory
7.6MiB live, 42.9MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
x
(*.f64 z y)
(fma.f64 y z #s(literal 0 binary64))
(fma.f64 z y x)
(+.f64 x (*.f64 y z))
(fma.f64 (neg.f64 y) x x)
Outputs
(fma.f64 (neg.f64 y) x x)
(fma.f64 z y x)
(fma.f64 (neg.f64 y) x x)
Calls

4 calls:

6.0ms
y
3.0ms
x
3.0ms
z
3.0ms
(+.f64 x (*.f64 y (-.f64 z x)))
Results
AccuracySegmentsBranch
87.6%3x
80.1%3y
86.9%3z
77.7%2(+.f64 x (*.f64 y (-.f64 z x)))
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes15.0ms (0.2%)

Memory
-1.4MiB live, 32.0MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
x
(*.f64 z y)
(fma.f64 y z #s(literal 0 binary64))
(fma.f64 z y x)
(+.f64 x (*.f64 y z))
Outputs
(fma.f64 z y x)
Calls

4 calls:

8.0ms
y
2.0ms
x
2.0ms
z
2.0ms
(+.f64 x (*.f64 y (-.f64 z x)))
Results
AccuracySegmentsBranch
74.0%1(+.f64 x (*.f64 y (-.f64 z x)))
74.0%1y
74.0%1z
74.0%1x
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes8.0ms (0.1%)

Memory
21.2MiB live, 21.2MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
x
(*.f64 z y)
(fma.f64 y z #s(literal 0 binary64))
Outputs
(*.f64 z y)
x
(*.f64 z y)
Calls

4 calls:

2.0ms
x
2.0ms
z
2.0ms
(+.f64 x (*.f64 y (-.f64 z x)))
2.0ms
y
Results
AccuracySegmentsBranch
63.4%3y
54.9%3z
53.7%5(+.f64 x (*.f64 y (-.f64 z x)))
56.4%3x
Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes13.0ms (0.2%)

Memory
-25.7MiB live, 16.1MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

4 calls:

9.0ms
x
1.0ms
z
1.0ms
y
1.0ms
(+.f64 x (*.f64 y (-.f64 z x)))
Results
AccuracySegmentsBranch
36.1%1(+.f64 x (*.f64 y (-.f64 z x)))
36.1%1z
36.1%1x
36.1%1y
Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch23.0ms (0.3%)

Memory
9.1MiB live, 48.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
5.670075967112853e-171
3.2444898633998123e-152
9.0ms
-2.9759604224253834e+116
-5.2980770972794834e+113
Samples
12.0ms288×0valid
Compiler

Compiled 319 to 210 computations (34.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 2.0ms (39.8% of total)
ival-mult: 2.0ms (39.8% of total)
ival-add: 1.0ms (19.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch18.0ms (0.3%)

Memory
-1.1MiB live, 38.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
1.7718930491058943e-44
2.14812558076814e-42
8.0ms
-4.450894554897326e-28
-4.4781927950025205e-30
Samples
10.0ms224×0valid
Compiler

Compiled 181 to 138 computations (23.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 1.0ms (26% of total)
ival-add: 1.0ms (26% of total)
ival-mult: 1.0ms (26% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify8.0ms (0.1%)

Memory
20.9MiB live, 20.9MiB allocated
Algorithm
1×egg-herbie
Rules
6×*-commutative_binary64
6×+-commutative_binary64
6×sub-neg_binary64
4×neg-sub0_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02142
13442
23942
34242
44342
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (-.f64 z x) y x)
(if (<=.f64 x #s(literal -579999999999999968013510265409295372091140051758815030982540107402150410092359437707072791162428959211327573721088 binary64)) (fma.f64 (neg.f64 y) x x) (if (<=.f64 x #s(literal 7547924849643083/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936 binary64)) (fma.f64 z y x) (fma.f64 (neg.f64 y) x x)))
(fma.f64 z y x)
(if (<=.f64 y #s(literal -5129171395662043/22300745198530623141535718272648361505980416 binary64)) (*.f64 z y) (if (<=.f64 y #s(literal 6277101735386681/3138550867693340381917894711603833208051177722232017256448 binary64)) x (*.f64 z y)))
x
Outputs
(fma.f64 (-.f64 z x) y x)
(if (<=.f64 x #s(literal -579999999999999968013510265409295372091140051758815030982540107402150410092359437707072791162428959211327573721088 binary64)) (fma.f64 (neg.f64 y) x x) (if (<=.f64 x #s(literal 7547924849643083/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936 binary64)) (fma.f64 z y x) (fma.f64 (neg.f64 y) x x)))
(if (<=.f64 x #s(literal -579999999999999968013510265409295372091140051758815030982540107402150410092359437707072791162428959211327573721088 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) y) x x) (if (<=.f64 x #s(literal 7547924849643083/235872651551346334515097161311766805682307576276027526773512893765351510149509303255382920323603672971341773439422740306235661539370299539535089640714543502728087207936 binary64)) (fma.f64 z y x) (fma.f64 (-.f64 #s(literal 0 binary64) y) x x)))
(fma.f64 z y x)
(if (<=.f64 y #s(literal -5129171395662043/22300745198530623141535718272648361505980416 binary64)) (*.f64 z y) (if (<=.f64 y #s(literal 6277101735386681/3138550867693340381917894711603833208051177722232017256448 binary64)) x (*.f64 z y)))
x

soundness1.3s (19.9%)

Memory
-10.4MiB live, 799.3MiB allocated
Rules
8 672×accelerator-lowering-fma.f32
8 672×accelerator-lowering-fma.f64
7 696×accelerator-lowering-fma.f32
7 696×accelerator-lowering-fma.f64
7 428×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073542
1242458
2728458
32046458
44205458
55991458
67374458
08195431
071434
1242402
2642402
31651402
44153402
56351402
08183348
01438
19935
2107935
0830732
0615
13315
228315
3381615
01087014
0920
15318
250818
0886916
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 153 to 83 computations (45.8% saved)

preprocess83.0ms (1.2%)

Memory
-31.3MiB live, 86.8MiB allocated
Compiler

Compiled 126 to 56 computations (55.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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