Diagrams.TwoD.Segment:bezierClip from diagrams-lib-1.3.0.3

Time bar (total: 8.2s)

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.7s (20.1%)

Memory
-10.0MiB live, 953.8MiB allocated
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-mult: 636.0ms (60.6% of total)
ival-add: 301.0ms (28.7% of total)
ival-sub: 98.0ms (9.3% of total)
ival-true: 6.0ms (0.6% of total)
exact: 5.0ms (0.5% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

preprocess98.0ms (1.2%)

Memory
-19.7MiB live, 136.4MiB allocated
Algorithm
egg-herbie
Rules
608×accelerator-lowering-fma.f32
608×accelerator-lowering-fma.f64
392×distribute-rgt-in
382×unsub-neg
298×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03399
18290
219090
355575
4119671
5198470
6235070
7239070
8239470
9239470
089
1159
2259
3489
41038
51517
62427
73947
85537
96237
106257
06256
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(+ (* x y) (* z (- 1 y)))
Outputs
(+ (* x y) (* z (- 1 y)))
(fma.f64 y (-.f64 x z) z)
Call 2
Inputs
(+ (* x y) (* z (- 1 y)))
(+ (* (neg x) y) (* z (- 1 y)))
(+ (* x (neg y)) (* z (- 1 (neg y))))
(+ (* x y) (* (neg z) (- 1 y)))
(neg (+ (* (neg x) y) (* z (- 1 y))))
(neg (+ (* x (neg y)) (* z (- 1 (neg y)))))
(neg (+ (* x y) (* (neg z) (- 1 y))))
(+ (* y x) (* z (- 1 x)))
(+ (* z y) (* x (- 1 y)))
(+ (* x z) (* y (- 1 z)))
Outputs
(+ (* x y) (* z (- 1 y)))
(+ z (* y (- x z)))
(+ (* (neg x) y) (* z (- 1 y)))
(- z (* y (+ x z)))
(+ (* x (neg y)) (* z (- 1 (neg y))))
(+ z (* y (- z x)))
(+ (* x y) (* (neg z) (- 1 y)))
(- (* y (+ x z)) z)
(neg (+ (* (neg x) y) (* z (- 1 y))))
(- (* y (+ x z)) z)
(neg (+ (* x (neg y)) (* z (- 1 (neg y)))))
(- (* y (- x z)) z)
(neg (+ (* x y) (* (neg z) (- 1 y))))
(- z (* y (+ x z)))
(+ (* y x) (* z (- 1 x)))
(+ z (* x (- y z)))
(+ (* z y) (* x (- 1 y)))
(+ x (* y (- z x)))
(+ (* x z) (* y (- 1 z)))
(+ y (* z (- x y)))

explain82.0ms (1%)

Memory
22.8MiB live, 220.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
60-0-(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y)))
00-0-(-.f64 #s(literal 1 binary64) y)
00-0-y
00-0-#s(literal 1 binary64)
00-0-(*.f64 z (-.f64 #s(literal 1 binary64) y))
00-0-z
00-0-(*.f64 x y)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y)))nan-rescue60
(*.f64 x y)overflow34
(*.f64 z (-.f64 #s(literal 1 binary64) y))overflow32
Confusion
Predicted +Predicted -
+60
-0250
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+600
-00250
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0250
16
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
29.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 7.0ms (55.3% of total)
ival-sub: 3.0ms (23.7% of total)
ival-add: 2.0ms (15.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.6%
(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify33.0ms (0.4%)

Memory
-3.5MiB live, 45.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff-64
(*.f64 z (-.f64 #s(literal 1 binary64) y))
cost-diff-64
(*.f64 x y)
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff576
(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) 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
0824
11524
22524
34824
410323
515122
624222
739422
855322
962322
1062522
062521
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* x y) (* z (- 1 y)))
(* x y)
x
y
(* z (- 1 y))
z
(- 1 y)
1
Outputs
(+ (* x y) (* z (- 1 y)))
(fma.f64 y (-.f64 x z) z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
x
y
(* z (- 1 y))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
z
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)

localize24.0ms (0.3%)

Memory
-19.2MiB live, 60.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 1 binary64) y)
accuracy100.0%
(*.f64 z (-.f64 #s(literal 1 binary64) y))
accuracy100.0%
(*.f64 x y)
accuracy97.9%
(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y)))
Samples
15.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (58.7% of total)
ival-sub: 1.0ms (14.7% of total)
ival-add: 1.0ms (14.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
14.0MiB live, 14.0MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (+ (* x y) (* z (- 1 y)))>
#<alt (- 1 y)>
#<alt (* x y)>
#<alt (* z (- 1 y))>
Outputs
#<alt (* z (- 1 y))>
#<alt (+ (* x y) (* z (- 1 y)))>
#<alt (+ (* x y) (* z (- 1 y)))>
#<alt (+ (* x y) (* z (- 1 y)))>
#<alt (* x y)>
#<alt (* x (+ y (/ (* z (- 1 y)) x)))>
#<alt (* x (+ y (/ (* z (- 1 y)) x)))>
#<alt (* x (+ y (/ (* z (- 1 y)) x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* z (- 1 y)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* z (- 1 y)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (* z (- 1 y)) x)))))>
#<alt z>
#<alt (+ z (* y (+ x (* -1 z))))>
#<alt (+ z (* y (+ x (* -1 z))))>
#<alt (+ z (* y (+ x (* -1 z))))>
#<alt (* y (+ x (* -1 z)))>
#<alt (* y (+ x (+ (* -1 z) (/ z y))))>
#<alt (* y (+ x (+ (* -1 z) (/ z y))))>
#<alt (* y (+ x (+ (* -1 z) (/ z y))))>
#<alt (* -1 (* y (+ z (* -1 x))))>
#<alt (* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))>
#<alt (* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))>
#<alt (* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))>
#<alt (* x y)>
#<alt (+ (* x y) (* z (- 1 y)))>
#<alt (+ (* x y) (* z (- 1 y)))>
#<alt (+ (* x y) (* z (- 1 y)))>
#<alt (* z (- 1 y))>
#<alt (* z (- (+ 1 (/ (* x y) z)) y))>
#<alt (* z (- (+ 1 (/ (* x y) z)) y))>
#<alt (* z (- (+ 1 (/ (* x y) z)) y))>
#<alt (* z (- 1 y))>
#<alt (* -1 (* z (+ (* -1 (- 1 y)) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 (- 1 y)) (* -1 (/ (* x y) z)))))>
#<alt (* -1 (* z (+ (* -1 (- 1 y)) (* -1 (/ (* x y) z)))))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* z (- 1 y))>
#<alt (* z (- 1 y))>
#<alt (* z (- 1 y))>
#<alt (* z (- 1 y))>
#<alt (* z (- 1 y))>
#<alt (* z (- 1 y))>
#<alt (* z (- 1 y))>
#<alt (* z (- 1 y))>
#<alt (* z (- 1 y))>
#<alt (* z (- 1 y))>
#<alt (* z (- 1 y))>
#<alt (* z (- 1 y))>
#<alt z>
#<alt (+ z (* -1 (* y z)))>
#<alt (+ z (* -1 (* y z)))>
#<alt (+ z (* -1 (* y z)))>
#<alt (* -1 (* y z))>
#<alt (* y (+ (* -1 z) (/ z y)))>
#<alt (* y (+ (* -1 z) (/ z y)))>
#<alt (* y (+ (* -1 z) (/ z y)))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y (+ z (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ z (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ z (* -1 (/ z y)))))>
Calls

24 calls:

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

rewrite466.0ms (5.7%)

Memory
10.9MiB live, 795.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 772×*-lowering-*.f32
6 772×*-lowering-*.f64
6 392×accelerator-lowering-fma.f32
6 392×accelerator-lowering-fma.f64
3 490×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
14020
231020
3384220
01124519
Stop Event
iter limit
node limit
Counts
4 → 317
Calls
Call 1
Inputs
(+ (* x y) (* z (- 1 y)))
(- 1 y)
(* x y)
(* z (- 1 y))
Outputs
(+.f64 (*.f64 x y) (*.f64 z (+.f64 y #s(literal 1 binary64))))
(+.f64 z (fma.f64 z (-.f64 #s(literal 0 binary64) y) (*.f64 x y)))
(+.f64 (*.f64 z (+.f64 y #s(literal 1 binary64))) (*.f64 x y))
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (fma.f64 x y (*.f64 z (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64)))))) (neg.f64 (/.f64 (*.f64 (*.f64 z (+.f64 y #s(literal 1 binary64))) (*.f64 z (+.f64 y #s(literal 1 binary64)))) (fma.f64 x y (*.f64 z (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))))))))
(+.f64 (fma.f64 x y z) (*.f64 z (-.f64 #s(literal 0 binary64) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 z (+.f64 y #s(literal 1 binary64)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (fma.f64 x y (*.f64 z (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64)))))) (/.f64 (*.f64 (*.f64 z (+.f64 y #s(literal 1 binary64))) (*.f64 z (+.f64 y #s(literal 1 binary64)))) (fma.f64 x y (*.f64 z (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64)))))))
(-.f64 (/.f64 (*.f64 (*.f64 z (+.f64 y #s(literal 1 binary64))) (*.f64 z (+.f64 y #s(literal 1 binary64)))) (fma.f64 z (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x y)))) (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (fma.f64 z (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x y)))))
(fma.f64 x y (*.f64 z (+.f64 y #s(literal 1 binary64))))
(fma.f64 x (/.f64 (*.f64 x (*.f64 y y)) (fma.f64 x y (*.f64 z (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64)))))) (neg.f64 (/.f64 (*.f64 (*.f64 z (+.f64 y #s(literal 1 binary64))) (*.f64 z (+.f64 y #s(literal 1 binary64)))) (fma.f64 x y (*.f64 z (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))))))))
(fma.f64 y x (*.f64 z (+.f64 y #s(literal 1 binary64))))
(fma.f64 y (*.f64 #s(literal 1 binary64) x) (*.f64 z (+.f64 y #s(literal 1 binary64))))
(fma.f64 y (/.f64 (*.f64 x (*.f64 x y)) (fma.f64 x y (*.f64 z (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64)))))) (neg.f64 (/.f64 (*.f64 (*.f64 z (+.f64 y #s(literal 1 binary64))) (*.f64 z (+.f64 y #s(literal 1 binary64)))) (fma.f64 x y (*.f64 z (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))))))))
(fma.f64 y (pow.f64 x #s(literal 1 binary64)) (*.f64 z (+.f64 y #s(literal 1 binary64))))
(fma.f64 y (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (*.f64 z (+.f64 y #s(literal 1 binary64))))
(fma.f64 y (exp.f64 (log.f64 x)) (*.f64 z (+.f64 y #s(literal 1 binary64))))
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal 1 binary64))))
(fma.f64 (*.f64 x y) (/.f64 (*.f64 x y) (fma.f64 x y (*.f64 z (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64)))))) (neg.f64 (/.f64 (*.f64 (*.f64 z (+.f64 y #s(literal 1 binary64))) (*.f64 z (+.f64 y #s(literal 1 binary64)))) (fma.f64 x y (*.f64 z (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))))))))
(fma.f64 z #s(literal 1 binary64) (fma.f64 z (-.f64 #s(literal 0 binary64) y) (*.f64 x y)))
(fma.f64 z (+.f64 y #s(literal 1 binary64)) (*.f64 x y))
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 z (+.f64 y #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) z (fma.f64 z (-.f64 #s(literal 0 binary64) y) (*.f64 x y)))
(fma.f64 (*.f64 x (*.f64 x (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 z (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64)))))) (neg.f64 (/.f64 (*.f64 (*.f64 z (+.f64 y #s(literal 1 binary64))) (*.f64 z (+.f64 y #s(literal 1 binary64)))) (fma.f64 x y (*.f64 z (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))))))))
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) z) (*.f64 x y))
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 z (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x y))
(fma.f64 (*.f64 y y) (/.f64 (*.f64 x x) (fma.f64 x y (*.f64 z (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64)))))) (neg.f64 (/.f64 (*.f64 (*.f64 z (+.f64 y #s(literal 1 binary64))) (*.f64 z (+.f64 y #s(literal 1 binary64)))) (fma.f64 x y (*.f64 z (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))))))))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) z) (*.f64 x y))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z (+.f64 y #s(literal 1 binary64))) (*.f64 x y))
(fma.f64 (+.f64 y #s(literal 1 binary64)) z (*.f64 x y))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (fma.f64 x y (*.f64 z (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64)))))) (neg.f64 (/.f64 (*.f64 (*.f64 z (+.f64 y #s(literal 1 binary64))) (*.f64 z (+.f64 y #s(literal 1 binary64)))) (fma.f64 x y (*.f64 z (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))))))))
(fma.f64 (*.f64 x (*.f64 y y)) (/.f64 x (fma.f64 x y (*.f64 z (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64)))))) (neg.f64 (/.f64 (*.f64 (*.f64 z (+.f64 y #s(literal 1 binary64))) (*.f64 z (+.f64 y #s(literal 1 binary64)))) (fma.f64 x y (*.f64 z (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))))))))
(fma.f64 (*.f64 x (*.f64 x y)) (/.f64 y (fma.f64 x y (*.f64 z (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64)))))) (neg.f64 (/.f64 (*.f64 (*.f64 z (+.f64 y #s(literal 1 binary64))) (*.f64 z (+.f64 y #s(literal 1 binary64)))) (fma.f64 x y (*.f64 z (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))))))))
(fma.f64 (*.f64 z (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x y))
(fma.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 x y))
(fma.f64 (*.f64 x #s(literal 1 binary64)) y (*.f64 z (+.f64 y #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (*.f64 (fma.f64 x y (*.f64 z (+.f64 y #s(literal 1 binary64)))) (fma.f64 x y (*.f64 z (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))))))) (fma.f64 x y (*.f64 z (+.f64 y #s(literal 1 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 z (+.f64 y #s(literal 1 binary64))) (*.f64 z (+.f64 y #s(literal 1 binary64)))) (fma.f64 x y (*.f64 z (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))))))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 y y))) (-.f64 (*.f64 (*.f64 x (*.f64 y y)) (*.f64 x (*.f64 x y))) (*.f64 z (*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (*.f64 z (+.f64 y #s(literal 1 binary64))) (*.f64 z (+.f64 y #s(literal 1 binary64)))))))) (fma.f64 (*.f64 z (+.f64 y #s(literal 1 binary64))) (fma.f64 x y (*.f64 z (+.f64 y #s(literal 1 binary64)))) (*.f64 x (*.f64 x (*.f64 y y)))) (neg.f64 (/.f64 (*.f64 (*.f64 z (+.f64 y #s(literal 1 binary64))) (*.f64 z (+.f64 y #s(literal 1 binary64)))) (fma.f64 x y (*.f64 z (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))))))))
(fma.f64 (/.f64 (*.f64 z (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (*.f64 (fma.f64 y y y) (fma.f64 y y y)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x y))
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(*.f64 (pow.f64 (/.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))
(exp.f64 (log.f64 (*.f64 x y)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 x y)
(*.f64 y x)
(*.f64 y (*.f64 #s(literal 1 binary64) x))
(*.f64 y (pow.f64 x #s(literal 1 binary64)))
(*.f64 y (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 y (exp.f64 (log.f64 x)))
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (*.f64 x #s(literal 1 binary64)) y)
(*.f64 (pow.f64 x #s(literal 1 binary64)) y)
(*.f64 (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) y)
(*.f64 (exp.f64 (log.f64 x)) y)
(+.f64 z (*.f64 z (-.f64 #s(literal 0 binary64) y)))
(+.f64 (*.f64 z (-.f64 #s(literal 0 binary64) y)) z)
(exp.f64 (log.f64 (*.f64 z (+.f64 y #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 z (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 z #s(literal 1 binary64) (*.f64 z (-.f64 #s(literal 0 binary64) y)))
(fma.f64 z (-.f64 #s(literal 0 binary64) y) z)
(fma.f64 #s(literal 1 binary64) z (*.f64 z (-.f64 #s(literal 0 binary64) y)))
(fma.f64 (-.f64 #s(literal 0 binary64) y) z z)
(fma.f64 #s(literal -1 binary64) (*.f64 y z) z)
(fma.f64 (*.f64 z #s(literal -1 binary64)) y z)
(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 z (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(/.f64 (*.f64 z (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 y #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 z (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))))
(/.f64 (fma.f64 z (*.f64 z z) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (fma.f64 z z (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 z (*.f64 z (-.f64 #s(literal 0 binary64) y))))))
(/.f64 (-.f64 (*.f64 z z) (*.f64 (*.f64 y z) (*.f64 y z))) (-.f64 z (*.f64 z (-.f64 #s(literal 0 binary64) y))))
(/.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (*.f64 y y))) (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) z) (-.f64 #s(literal 0 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) z) (-.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))))
(/.f64 (exp.f64 (log.f64 (*.f64 z (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) (exp.f64 (log1p.f64 (fma.f64 y y y))))
(/.f64 (exp.f64 (log.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y))))) (exp.f64 (log1p.f64 y)))
(pow.f64 (*.f64 z (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 z (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y)))) #s(literal -1 binary64))
(*.f64 z (+.f64 y #s(literal 1 binary64)))
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) z))
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 z (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) z))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z (+.f64 y #s(literal 1 binary64))))
(*.f64 (+.f64 y #s(literal 1 binary64)) z)
(*.f64 (*.f64 z (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 z (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (*.f64 (fma.f64 y y y) (fma.f64 y y y)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 z (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y y) (fma.f64 y y y)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(*.f64 (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 z (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 z (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (*.f64 z (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (*.f64 (fma.f64 y y y) (fma.f64 y y y)) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 z (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y y) (fma.f64 y y y)))) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64)) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log1p.f64 y)))
(*.f64 (exp.f64 (log1p.f64 y)) (exp.f64 (log.f64 z)))

simplify805.0ms (9.8%)

Memory
-176.4MiB live, 347.3MiB allocated
Algorithm
egg-herbie
Rules
7 458×accelerator-lowering-fma.f32
7 458×accelerator-lowering-fma.f64
2 424×*-lowering-*.f32
2 424×*-lowering-*.f64
1 496×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057498
1193442
2559442
31397442
43908442
56245442
08020415
Stop Event
iter limit
node limit
Counts
96 → 96
Calls
Call 1
Inputs
(* z (- 1 y))
(+ (* x y) (* z (- 1 y)))
(+ (* x y) (* z (- 1 y)))
(+ (* x y) (* z (- 1 y)))
(* x y)
(* x (+ y (/ (* z (- 1 y)) x)))
(* x (+ y (/ (* z (- 1 y)) x)))
(* x (+ y (/ (* z (- 1 y)) x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (* z (- 1 y)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* z (- 1 y)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* z (- 1 y)) x)))))
z
(+ z (* y (+ x (* -1 z))))
(+ z (* y (+ x (* -1 z))))
(+ z (* y (+ x (* -1 z))))
(* y (+ x (* -1 z)))
(* y (+ x (+ (* -1 z) (/ z y))))
(* y (+ x (+ (* -1 z) (/ z y))))
(* y (+ x (+ (* -1 z) (/ z y))))
(* -1 (* y (+ z (* -1 x))))
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))
(* x y)
(+ (* x y) (* z (- 1 y)))
(+ (* x y) (* z (- 1 y)))
(+ (* x y) (* z (- 1 y)))
(* z (- 1 y))
(* z (- (+ 1 (/ (* x y) z)) y))
(* z (- (+ 1 (/ (* x y) z)) y))
(* z (- (+ 1 (/ (* x y) z)) y))
(* z (- 1 y))
(* -1 (* z (+ (* -1 (- 1 y)) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 (- 1 y)) (* -1 (/ (* x y) z)))))
(* -1 (* z (+ (* -1 (- 1 y)) (* -1 (/ (* x y) z)))))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
z
(+ z (* -1 (* y z)))
(+ z (* -1 (* y z)))
(+ z (* -1 (* y z)))
(* -1 (* y z))
(* y (+ (* -1 z) (/ z y)))
(* y (+ (* -1 z) (/ z y)))
(* y (+ (* -1 z) (/ z y)))
(* -1 (* y z))
(* -1 (* y (+ z (* -1 (/ z y)))))
(* -1 (* y (+ z (* -1 (/ z y)))))
(* -1 (* y (+ z (* -1 (/ z y)))))
Outputs
(* z (- 1 y))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(+ (* x y) (* z (- 1 y)))
(fma.f64 y (-.f64 x z) z)
(+ (* x y) (* z (- 1 y)))
(fma.f64 y (-.f64 x z) z)
(+ (* x y) (* z (- 1 y)))
(fma.f64 y (-.f64 x z) z)
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x (+ y (/ (* z (- 1 y)) x)))
(fma.f64 y (-.f64 x z) z)
(* x (+ y (/ (* z (- 1 y)) x)))
(fma.f64 y (-.f64 x z) z)
(* x (+ y (/ (* z (- 1 y)) x)))
(fma.f64 y (-.f64 x z) z)
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (* -1 (/ (* z (- 1 y)) x)))))
(fma.f64 y (-.f64 x z) z)
(* -1 (* x (+ (* -1 y) (* -1 (/ (* z (- 1 y)) x)))))
(fma.f64 y (-.f64 x z) z)
(* -1 (* x (+ (* -1 y) (* -1 (/ (* z (- 1 y)) x)))))
(fma.f64 y (-.f64 x z) z)
z
(+ z (* y (+ x (* -1 z))))
(fma.f64 y (-.f64 x z) z)
(+ z (* y (+ x (* -1 z))))
(fma.f64 y (-.f64 x z) z)
(+ z (* y (+ x (* -1 z))))
(fma.f64 y (-.f64 x z) z)
(* y (+ x (* -1 z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (+ x (+ (* -1 z) (/ z y))))
(fma.f64 y (-.f64 x z) z)
(* y (+ x (+ (* -1 z) (/ z y))))
(fma.f64 y (-.f64 x z) z)
(* y (+ x (+ (* -1 z) (/ z y))))
(fma.f64 y (-.f64 x z) z)
(* -1 (* y (+ z (* -1 x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))
(fma.f64 y (-.f64 x z) z)
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))
(fma.f64 y (-.f64 x z) z)
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))
(fma.f64 y (-.f64 x z) z)
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(+ (* x y) (* z (- 1 y)))
(fma.f64 y (-.f64 x z) z)
(+ (* x y) (* z (- 1 y)))
(fma.f64 y (-.f64 x z) z)
(+ (* x y) (* z (- 1 y)))
(fma.f64 y (-.f64 x z) z)
(* z (- 1 y))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* z (- (+ 1 (/ (* x y) z)) y))
(fma.f64 y (-.f64 x z) z)
(* z (- (+ 1 (/ (* x y) z)) y))
(fma.f64 y (-.f64 x z) z)
(* z (- (+ 1 (/ (* x y) z)) y))
(fma.f64 y (-.f64 x z) z)
(* z (- 1 y))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (- 1 y)) (* -1 (/ (* x y) z)))))
(fma.f64 y (-.f64 x z) z)
(* -1 (* z (+ (* -1 (- 1 y)) (* -1 (/ (* x y) z)))))
(fma.f64 y (-.f64 x z) z)
(* -1 (* z (+ (* -1 (- 1 y)) (* -1 (/ (* x y) z)))))
(fma.f64 y (-.f64 x z) z)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* z (- 1 y))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* z (- 1 y))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* z (- 1 y))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* z (- 1 y))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* z (- 1 y))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* z (- 1 y))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* z (- 1 y))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* z (- 1 y))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* z (- 1 y))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* z (- 1 y))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* z (- 1 y))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* z (- 1 y))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
z
(+ z (* -1 (* y z)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(+ z (* -1 (* y z)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(+ z (* -1 (* y z)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (fma.f64 z y #s(literal 0 binary64)))
(* y (+ (* -1 z) (/ z y)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* y (+ (* -1 z) (/ z y)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* y (+ (* -1 z) (/ z y)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (fma.f64 z y #s(literal 0 binary64)))
(* -1 (* y (+ z (* -1 (/ z y)))))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* -1 (* y (+ z (* -1 (/ z y)))))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* -1 (* y (+ z (* -1 (/ z y)))))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))

eval90.0ms (1.1%)

Memory
3.7MiB live, 82.6MiB allocated
Compiler

Compiled 11 707 to 1 109 computations (90.5% saved)

prune50.0ms (0.6%)

Memory
-12.0MiB live, 109.7MiB allocated
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New4094413
Fresh000
Picked011
Done000
Total4095414
Accuracy
100.0%
Counts
414 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 y (-.f64 x z) z)
45.3%
(fma.f64 y x #s(literal 0 binary64))
97.6%
(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y)))
75.8%
(+.f64 (*.f64 x y) z)
32.5%
z
Compiler

Compiled 40 to 26 computations (35% saved)

simplify33.0ms (0.4%)

Memory
23.0MiB live, 61.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x z)
cost-diff0
(fma.f64 y (-.f64 x z) z)
cost-diff0
(fma.f64 y x #s(literal 0 binary64))
cost-diff-64
(*.f64 x y)
cost-diff192
(+.f64 (*.f64 x y) z)
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
01131
11931
23431
36031
412931
520031
629231
743031
864531
972731
1074531
074529
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
z
(+ (* x y) z)
(* x y)
x
y
z
(+ (* y x) 0)
y
x
0
(+ (* y (- x z)) z)
y
(- x z)
x
z
Outputs
z
(+ (* x y) z)
(fma.f64 x y z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
x
y
z
(+ (* y x) 0)
(fma.f64 x y #s(literal 0 binary64))
y
x
0
#s(literal 0 binary64)
(+ (* y (- x z)) z)
(fma.f64 y (-.f64 x z) z)
y
(- x z)
(-.f64 x z)
x
z

localize34.0ms (0.4%)

Memory
-17.1MiB live, 58.0MiB allocated
Localize:

Found 5 expressions of interest:

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

Compiled 33 to 13 computations (60.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-add: 5.0ms (42.6% of total)
ival-mult: 5.0ms (42.6% of total)
ival-sub: 1.0ms (8.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
9.3MiB live, 9.3MiB allocated
Counts
5 → 144
Calls
Call 1
Inputs
#<alt (+ (* x y) z)>
#<alt (* x y)>
#<alt (+ (* y x) 0)>
#<alt (+ (* y (- x z)) z)>
#<alt (- x z)>
Outputs
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* x y)>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt z>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt z>
#<alt (+ z (* y (- x z)))>
#<alt (+ z (* y (- x z)))>
#<alt (+ z (* y (- x z)))>
#<alt (* y (- x z))>
#<alt (* y (- (+ x (/ z y)) z))>
#<alt (* y (- (+ x (/ z y)) z))>
#<alt (* y (- (+ x (/ z y)) z))>
#<alt (* y (- x z))>
#<alt (* -1 (* y (+ (* -1 (- x z)) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 (- x z)) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 (- x z)) (* -1 (/ z y)))))>
#<alt (+ z (* -1 (* y z)))>
#<alt (+ z (+ (* -1 (* y z)) (* x y)))>
#<alt (+ z (+ (* -1 (* y z)) (* x y)))>
#<alt (+ z (+ (* -1 (* y z)) (* x y)))>
#<alt (* x y)>
#<alt (* x (+ y (+ (* -1 (/ (* y z) x)) (/ z x))))>
#<alt (* x (+ y (+ (* -1 (/ (* y z) x)) (/ z x))))>
#<alt (* x (+ y (+ (* -1 (/ (* y z) x)) (/ z x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1 (* y z))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1 (* y z))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1 (* y z))) x)))))>
#<alt (* x y)>
#<alt (+ (* x y) (* z (+ 1 (* -1 y))))>
#<alt (+ (* x y) (* z (+ 1 (* -1 y))))>
#<alt (+ (* x y) (* z (+ 1 (* -1 y))))>
#<alt (* z (+ 1 (* -1 y)))>
#<alt (* z (+ 1 (+ (* -1 y) (/ (* x y) z))))>
#<alt (* z (+ 1 (+ (* -1 y) (/ (* x y) z))))>
#<alt (* z (+ 1 (+ (* -1 y) (/ (* x y) z))))>
#<alt (* -1 (* z (- y 1)))>
#<alt (* -1 (* z (- (+ y (* -1 (/ (* x y) z))) 1)))>
#<alt (* -1 (* z (- (+ y (* -1 (/ (* x y) z))) 1)))>
#<alt (* -1 (* z (- (+ y (* -1 (/ (* x y) z))) 1)))>
#<alt (* -1 z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt (- x z)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt (* x (+ 1 (* -1 (/ z x))))>
#<alt x>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt (* -1 (* x (- (/ z x) 1)))>
#<alt x>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (+ x (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* z (- (/ x z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ x z)))))>
Calls

36 calls:

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

rewrite494.0ms (6%)

Memory
38.3MiB live, 901.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
10 478×accelerator-lowering-fma.f32
10 478×accelerator-lowering-fma.f64
4 614×*-lowering-*.f32
4 614×*-lowering-*.f64
3 500×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01121
16921
256821
0815619
Stop Event
iter limit
node limit
Counts
5 → 938
Calls
Call 1
Inputs
(+ (* x y) z)
(* x y)
(+ (* y x) 0)
(+ (* y (- x z)) z)
(- x z)
Outputs
(+.f64 z (fma.f64 x y #s(literal 0 binary64)))
(+.f64 (fma.f64 x y z) #s(literal 0 binary64))
(+.f64 (fma.f64 x y #s(literal 0 binary64)) z)
(+.f64 #s(literal 0 binary64) (fma.f64 x y z))
(+.f64 (/.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (fma.f64 x y #s(literal 0 binary64)) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (fma.f64 x y #s(literal 0 binary64)) z))))
(-.f64 (fma.f64 x y z) #s(literal 0 binary64))
(-.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) z))
(-.f64 (/.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (fma.f64 x y #s(literal 0 binary64)) z)) (/.f64 (*.f64 z z) (-.f64 (fma.f64 x y #s(literal 0 binary64)) z)))
(-.f64 (/.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (fma.f64 x y #s(literal 0 binary64)) z)) (-.f64 (/.f64 (*.f64 z z) (-.f64 (fma.f64 x y #s(literal 0 binary64)) z)) #s(literal 0 binary64)))
(-.f64 (/.f64 (*.f64 z z) (-.f64 z (fma.f64 x y #s(literal 0 binary64)))) (/.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 z (fma.f64 x y #s(literal 0 binary64)))))
(-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (fma.f64 x y #s(literal 0 binary64)) z))) (/.f64 (*.f64 z z) (-.f64 (fma.f64 x y #s(literal 0 binary64)) z)))
(fma.f64 x y z)
(fma.f64 x (/.f64 (fma.f64 x (*.f64 y y) #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64))) z)
(fma.f64 x (*.f64 (fma.f64 x (*.f64 y y) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))) z)
(fma.f64 x (/.f64 (fma.f64 x (*.f64 y y) #s(literal 0 binary64)) (-.f64 (fma.f64 x y #s(literal 0 binary64)) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (fma.f64 x y #s(literal 0 binary64)) z))))
(fma.f64 y x z)
(fma.f64 y (/.f64 (fma.f64 x (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64))) z)
(fma.f64 y (*.f64 (fma.f64 x (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))) z)
(fma.f64 y (/.f64 (fma.f64 x (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 (fma.f64 x y #s(literal 0 binary64)) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (fma.f64 x y #s(literal 0 binary64)) z))))
(fma.f64 (fma.f64 x y z) (*.f64 (-.f64 (fma.f64 x y #s(literal 0 binary64)) z) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x y #s(literal 0 binary64)) z))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x y z) (/.f64 (-.f64 (fma.f64 x y #s(literal 0 binary64)) z) (-.f64 (fma.f64 x y #s(literal 0 binary64)) z)) #s(literal 0 binary64))
(fma.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 (fma.f64 x y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))) z)
(fma.f64 (fma.f64 x y #s(literal 0 binary64)) (/.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) z)
(fma.f64 (fma.f64 x y #s(literal 0 binary64)) (/.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64))) z)
(fma.f64 (fma.f64 x y #s(literal 0 binary64)) (*.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))) z)
(fma.f64 (fma.f64 x y #s(literal 0 binary64)) (/.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 (fma.f64 x y #s(literal 0 binary64)) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (fma.f64 x y #s(literal 0 binary64)) z))))
(fma.f64 (fma.f64 (fma.f64 x y z) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 (fma.f64 x y #s(literal 0 binary64)) z) (*.f64 z z)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 (fma.f64 x y #s(literal 0 binary64)) z) (*.f64 z z))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 (fma.f64 x y #s(literal 0 binary64)) z) (*.f64 z z)) (*.f64 (fma.f64 x y z) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 (fma.f64 x y #s(literal 0 binary64)) z) (*.f64 z z)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 (fma.f64 x y #s(literal 0 binary64)) z) (*.f64 z z)) (/.f64 (fma.f64 x y z) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 (fma.f64 x y #s(literal 0 binary64)) z) (*.f64 z z))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (*.f64 y (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) z)
(fma.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64))) z)
(fma.f64 (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x y #s(literal 0 binary64)) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (fma.f64 x y #s(literal 0 binary64)) z))))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) z)
(fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))) z)
(fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (fma.f64 x y #s(literal 0 binary64))) z)
(fma.f64 (*.f64 x x) (*.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))) z)
(fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (-.f64 (fma.f64 x y #s(literal 0 binary64)) z)) (neg.f64 (/.f64 (*.f64 z z) (-.f64 (fma.f64 x y #s(literal 0 binary64)) z))))
(fma.f64 (*.f64 (fma.f64 x y z) (-.f64 (fma.f64 x y #s(literal 0 binary64)) z)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x y #s(literal 0 binary64)) z)) #s(literal 0 binary64))
(fma.f64 (*.f64 y (*.f64 y y)) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) z)
(fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))) z)
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (*.f64 y (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64)))) z)
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x y #s(literal 0 binary64)))) z)
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x y z) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 (fma.f64 x y #s(literal 0 binary64)) z) (*.f64 z z)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x y #s(literal 0 binary64)) (-.f64 (fma.f64 x y #s(literal 0 binary64)) z) (*.f64 z z)))) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 x y z) (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x y #s(literal 0 binary64)) z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 x y #s(literal 0 binary64)) z))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x y z) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)) z)
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(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x)))) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x)))) (*.f64 (+.f64 x z) (fma.f64 (*.f64 z z) (fma.f64 x x (*.f64 z z)) (*.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))))) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 z (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (-.f64 #s(literal 0 binary64) z) x) (*.f64 x x)) (*.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z))))
(/.f64 (*.f64 (fma.f64 x x (*.f64 z z)) (*.f64 (-.f64 x z) (+.f64 x z))) (*.f64 (+.f64 x z) (fma.f64 x x (*.f64 z z))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 z (+.f64 x z) (*.f64 x x))) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (*.f64 z (*.f64 z z)))) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (fma.f64 z (+.f64 x z) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x z)) (*.f64 (+.f64 x z) (*.f64 z z))) (*.f64 (+.f64 x z) (+.f64 x z)))
(/.f64 (*.f64 (*.f64 (-.f64 x z) (+.f64 x z)) #s(literal 1 binary64)) (+.f64 x z))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 z (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))) (fma.f64 z (+.f64 x z) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (fma.f64 z (+.f64 x z) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 z z) (fma.f64 x x (*.f64 z z)) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 x z)))
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 z z)) (*.f64 (-.f64 x z) (+.f64 x z))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 z z)) (+.f64 x z)))
(/.f64 (*.f64 (*.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 z (+.f64 x z) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (neg.f64 (-.f64 x z)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 x z)) (-.f64 x z))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 x z))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 z (+.f64 x z) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 x z) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 z (+.f64 x z) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 z (+.f64 x z) (*.f64 x x))) (fma.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 x z) (*.f64 x x))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 x z) (*.f64 x x))) (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 z (+.f64 x z) (*.f64 x x))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 x z) (*.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (+.f64 x z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x z)) (/.f64 (*.f64 x x) (+.f64 x z)) (fma.f64 (/.f64 (*.f64 z z) (+.f64 x z)) (/.f64 (*.f64 z z) (+.f64 x z)) (*.f64 (/.f64 (*.f64 x x) (+.f64 x z)) (/.f64 (*.f64 z z) (+.f64 x z))))))
(/.f64 (-.f64 (*.f64 z z) (*.f64 x x)) (-.f64 (-.f64 #s(literal 0 binary64) z) x))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 z (+.f64 x z) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 z (+.f64 x z) (*.f64 x x)))) (*.f64 (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 x z) (*.f64 x x))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 x z) (*.f64 x x))))) (fma.f64 (*.f64 x x) (/.f64 x (fma.f64 z (+.f64 x z) (*.f64 x x))) (/.f64 (*.f64 z (*.f64 z z)) (fma.f64 z (+.f64 x z) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x z)) (/.f64 (*.f64 x x) (+.f64 x z))) (*.f64 (/.f64 (*.f64 z z) (+.f64 x z)) (/.f64 (*.f64 z z) (+.f64 x z)))) (fma.f64 x (/.f64 x (+.f64 x z)) (/.f64 (*.f64 z z) (+.f64 x z))))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (neg.f64 (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x)))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 z (*.f64 z z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x)))) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))))
(/.f64 (*.f64 (*.f64 (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z))) (*.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (fma.f64 (*.f64 z z) (fma.f64 x x (*.f64 z z)) (*.f64 x (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 z z)) (*.f64 (-.f64 x z) (+.f64 x z))) (/.f64 #s(literal 1 binary64) (+.f64 x z))) (fma.f64 x x (*.f64 z z)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 x z)) #s(literal -1 binary64))
(*.f64 (*.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x))))
(*.f64 (*.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (-.f64 #s(literal 0 binary64) z) x) (*.f64 x x))))
(*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (*.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x)))))
(*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (/.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x))))
(*.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (/.f64 #s(literal 1 binary64) (+.f64 x z)))
(*.f64 (+.f64 x z) (*.f64 (-.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 x z))))
(*.f64 (+.f64 x z) (/.f64 (-.f64 x z) (+.f64 x z)))
(*.f64 (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (neg.f64 (-.f64 x z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x)))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 x z)) (-.f64 x z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x z))))
(*.f64 #s(literal 1 binary64) (-.f64 x z))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 x z) (*.f64 x x))) (*.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x z)) (*.f64 (-.f64 x z) (+.f64 x z)))
(*.f64 (/.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (*.f64 (-.f64 x z) (+.f64 x z))) (-.f64 x z))
(*.f64 (/.f64 (*.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x))) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 z (+.f64 x z)) (*.f64 (*.f64 z (+.f64 x z)) (*.f64 z (+.f64 x z)))))) (fma.f64 (*.f64 z (+.f64 x z)) (-.f64 (*.f64 z (+.f64 x z)) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 (-.f64 x z) (fma.f64 z (+.f64 x z) (*.f64 x x))) (*.f64 (fma.f64 z (+.f64 x z) (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 z (+.f64 x z))))) (-.f64 (*.f64 x x) (*.f64 z (+.f64 x z))))
(*.f64 (/.f64 (*.f64 (-.f64 x z) (+.f64 x z)) (fma.f64 x (*.f64 x x) (*.f64 z (*.f64 z z)))) (fma.f64 x x (*.f64 z (-.f64 z x))))

simplify257.0ms (3.1%)

Memory
-11.7MiB live, 395.0MiB allocated
Algorithm
egg-herbie
Rules
7 964×accelerator-lowering-fma.f32
7 964×accelerator-lowering-fma.f64
2 736×*-lowering-*.f32
2 736×*-lowering-*.f64
1 804×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081588
1265585
2746585
32035585
44204585
55856585
67230585
08038531
Stop Event
iter limit
node limit
Counts
144 → 144
Calls
Call 1
Inputs
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
z
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
z
(+ z (* y (- x z)))
(+ z (* y (- x z)))
(+ z (* y (- x z)))
(* y (- x z))
(* y (- (+ x (/ z y)) z))
(* y (- (+ x (/ z y)) z))
(* y (- (+ x (/ z y)) z))
(* y (- x z))
(* -1 (* y (+ (* -1 (- x z)) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 (- x z)) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 (- x z)) (* -1 (/ z y)))))
(+ z (* -1 (* y z)))
(+ z (+ (* -1 (* y z)) (* x y)))
(+ z (+ (* -1 (* y z)) (* x y)))
(+ z (+ (* -1 (* y z)) (* x y)))
(* x y)
(* x (+ y (+ (* -1 (/ (* y z) x)) (/ z x))))
(* x (+ y (+ (* -1 (/ (* y z) x)) (/ z x))))
(* x (+ y (+ (* -1 (/ (* y z) x)) (/ z x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1 (* y z))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1 (* y z))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1 (* y z))) x)))))
(* x y)
(+ (* x y) (* z (+ 1 (* -1 y))))
(+ (* x y) (* z (+ 1 (* -1 y))))
(+ (* x y) (* z (+ 1 (* -1 y))))
(* z (+ 1 (* -1 y)))
(* z (+ 1 (+ (* -1 y) (/ (* x y) z))))
(* z (+ 1 (+ (* -1 y) (/ (* x y) z))))
(* z (+ 1 (+ (* -1 y) (/ (* x y) z))))
(* -1 (* z (- y 1)))
(* -1 (* z (- (+ y (* -1 (/ (* x y) z))) 1)))
(* -1 (* z (- (+ y (* -1 (/ (* x y) z))) 1)))
(* -1 (* z (- (+ y (* -1 (/ (* x y) z))) 1)))
(* -1 z)
(- x z)
(- x z)
(- x z)
x
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
(* x (+ 1 (* -1 (/ z x))))
x
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
(* -1 (* x (- (/ z x) 1)))
x
(+ x (* -1 z))
(+ x (* -1 z))
(+ x (* -1 z))
(* -1 z)
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* z (- (/ x z) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(* -1 (* z (+ 1 (* -1 (/ x z)))))
Outputs
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x (+ y (/ z x)))
(fma.f64 x y z)
(* x (+ y (/ z x)))
(fma.f64 x y z)
(* x (+ y (/ z x)))
(fma.f64 x y z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(fma.f64 x y z)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(fma.f64 x y z)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(fma.f64 x y z)
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (/ z y)))
(fma.f64 x y z)
(* y (+ x (/ z y)))
(fma.f64 x y z)
(* y (+ x (/ z y)))
(fma.f64 x y z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(fma.f64 x y z)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(fma.f64 x y z)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(fma.f64 x y z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
z
(* z (+ 1 (/ (* x y) z)))
(fma.f64 x y z)
(* z (+ 1 (/ (* x y) z)))
(fma.f64 x y z)
(* z (+ 1 (/ (* x y) z)))
(fma.f64 x y z)
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(fma.f64 x y z)
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(fma.f64 x y z)
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(fma.f64 x y z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
z
(+ z (* y (- x z)))
(fma.f64 y (-.f64 x z) z)
(+ z (* y (- x z)))
(fma.f64 y (-.f64 x z) z)
(+ z (* y (- x z)))
(fma.f64 y (-.f64 x z) z)
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (- (+ x (/ z y)) z))
(fma.f64 y (-.f64 x z) z)
(* y (- (+ x (/ z y)) z))
(fma.f64 y (-.f64 x z) z)
(* y (- (+ x (/ z y)) z))
(fma.f64 y (-.f64 x z) z)
(* y (- x z))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (- x z)) (* -1 (/ z y)))))
(fma.f64 y (-.f64 x z) z)
(* -1 (* y (+ (* -1 (- x z)) (* -1 (/ z y)))))
(fma.f64 y (-.f64 x z) z)
(* -1 (* y (+ (* -1 (- x z)) (* -1 (/ z y)))))
(fma.f64 y (-.f64 x z) z)
(+ z (* -1 (* y z)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(+ z (+ (* -1 (* y z)) (* x y)))
(fma.f64 y (-.f64 x z) z)
(+ z (+ (* -1 (* y z)) (* x y)))
(fma.f64 y (-.f64 x z) z)
(+ z (+ (* -1 (* y z)) (* x y)))
(fma.f64 y (-.f64 x z) z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x (+ y (+ (* -1 (/ (* y z) x)) (/ z x))))
(fma.f64 y (-.f64 x z) z)
(* x (+ y (+ (* -1 (/ (* y z) x)) (/ z x))))
(fma.f64 y (-.f64 x z) z)
(* x (+ y (+ (* -1 (/ (* y z) x)) (/ z x))))
(fma.f64 y (-.f64 x z) z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1 (* y z))) x)))))
(fma.f64 y (-.f64 x z) z)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1 (* y z))) x)))))
(fma.f64 y (-.f64 x z) z)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1 (* y z))) x)))))
(fma.f64 y (-.f64 x z) z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ (* x y) (* z (+ 1 (* -1 y))))
(fma.f64 y (-.f64 x z) z)
(+ (* x y) (* z (+ 1 (* -1 y))))
(fma.f64 y (-.f64 x z) z)
(+ (* x y) (* z (+ 1 (* -1 y))))
(fma.f64 y (-.f64 x z) z)
(* z (+ 1 (* -1 y)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* z (+ 1 (+ (* -1 y) (/ (* x y) z))))
(fma.f64 y (-.f64 x z) z)
(* z (+ 1 (+ (* -1 y) (/ (* x y) z))))
(fma.f64 y (-.f64 x z) z)
(* z (+ 1 (+ (* -1 y) (/ (* x y) z))))
(fma.f64 y (-.f64 x z) z)
(* -1 (* z (- y 1)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* -1 (* z (- (+ y (* -1 (/ (* x y) z))) 1)))
(fma.f64 y (-.f64 x z) z)
(* -1 (* z (- (+ y (* -1 (/ (* x y) z))) 1)))
(fma.f64 y (-.f64 x z) z)
(* -1 (* z (- (+ y (* -1 (/ (* x y) z))) 1)))
(fma.f64 y (-.f64 x z) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
(- x z)
(-.f64 x z)
x
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
(* x (+ 1 (* -1 (/ z x))))
(-.f64 x z)
x
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
(* -1 (* x (- (/ z x) 1)))
(-.f64 x z)
x
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(+ x (* -1 z))
(-.f64 x z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* z (- (/ x z) 1))
(-.f64 x z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)
(* -1 (* z (+ 1 (* -1 (/ x z)))))
(-.f64 x z)

eval118.0ms (1.4%)

Memory
15.9MiB live, 240.8MiB allocated
Compiler

Compiled 27 449 to 1 540 computations (94.4% saved)

prune149.0ms (1.8%)

Memory
5.7MiB live, 251.3MiB allocated
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1 07931 082
Fresh000
Picked224
Done101
Total1 08251 087
Accuracy
100.0%
Counts
1 087 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 y (-.f64 x z) z)
98.8%
(fma.f64 y x (fma.f64 y (-.f64 #s(literal 0 binary64) z) z))
75.9%
(fma.f64 y x z)
45.3%
(*.f64 y x)
32.5%
z
Compiler

Compiled 38 to 23 computations (39.5% saved)

simplify38.0ms (0.5%)

Memory
-22.3MiB live, 55.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 0 binary64) z)
cost-diff0
(fma.f64 y (-.f64 #s(literal 0 binary64) z) z)
cost-diff384
(fma.f64 y x (fma.f64 y (-.f64 #s(literal 0 binary64) z) z))
cost-diff0
(fma.f64 y x z)
cost-diff-64
(*.f64 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
01035
12033
23931
38031
412831
521031
635631
749931
867631
969731
069729
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* y x)
y
x
(+ (* y x) z)
y
x
z
(+ (* y x) (+ (* y (- 0 z)) z))
y
x
(+ (* y (- 0 z)) z)
(- 0 z)
0
z
Outputs
(* y x)
(fma.f64 y x #s(literal 0 binary64))
y
x
(+ (* y x) z)
(fma.f64 y x z)
y
x
z
(+ (* y x) (+ (* y (- 0 z)) z))
(fma.f64 y (-.f64 x z) z)
y
x
(+ (* y (- 0 z)) z)
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(- 0 z)
(-.f64 #s(literal 0 binary64) z)
0
#s(literal 0 binary64)
z

localize34.0ms (0.4%)

Memory
-8.7MiB live, 67.4MiB allocated
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 y (-.f64 #s(literal 0 binary64) z) z)
accuracy100.0%
(-.f64 #s(literal 0 binary64) z)
accuracy98.8%
(fma.f64 y x (fma.f64 y (-.f64 #s(literal 0 binary64) z) z))
accuracy100.0%
(fma.f64 y x z)
accuracy100.0%
(*.f64 y x)
Samples
20.0ms256×0valid
Compiler

Compiled 36 to 12 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (48.2% of total)
ival-add: 3.0ms (36.2% of total)
ival-sub: 1.0ms (12.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
11.7MiB live, 11.7MiB allocated
Counts
5 → 132
Calls
Call 1
Inputs
#<alt (* y x)>
#<alt (+ (* y x) z)>
#<alt (+ (* y x) (+ (* y (- 0 z)) z))>
#<alt (+ (* y (- 0 z)) z)>
#<alt (- 0 z)>
Outputs
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* x y)>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt z>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt z>
#<alt (+ z (* y (+ x (* -1 z))))>
#<alt (+ z (* y (+ x (* -1 z))))>
#<alt (+ z (* y (+ x (* -1 z))))>
#<alt (* y (+ x (* -1 z)))>
#<alt (* y (+ x (+ (* -1 z) (/ z y))))>
#<alt (* y (+ x (+ (* -1 z) (/ z y))))>
#<alt (* y (+ x (+ (* -1 z) (/ z y))))>
#<alt (* -1 (* y (+ z (* -1 x))))>
#<alt (* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))>
#<alt (* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))>
#<alt (* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))>
#<alt (+ z (* -1 (* y z)))>
#<alt (+ z (+ (* -1 (* y z)) (* x y)))>
#<alt (+ z (+ (* -1 (* y z)) (* x y)))>
#<alt (+ z (+ (* -1 (* y z)) (* x y)))>
#<alt (* x y)>
#<alt (* x (+ y (+ (* -1 (/ (* y z) x)) (/ z x))))>
#<alt (* x (+ y (+ (* -1 (/ (* y z) x)) (/ z x))))>
#<alt (* x (+ y (+ (* -1 (/ (* y z) x)) (/ z x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1 (* y z))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1 (* y z))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1 (* y z))) x)))))>
#<alt (* x y)>
#<alt (+ (* x y) (* z (+ 1 (* -1 y))))>
#<alt (+ (* x y) (* z (+ 1 (* -1 y))))>
#<alt (+ (* x y) (* z (+ 1 (* -1 y))))>
#<alt (* z (+ 1 (* -1 y)))>
#<alt (* z (+ 1 (+ (* -1 y) (/ (* x y) z))))>
#<alt (* z (+ 1 (+ (* -1 y) (/ (* x y) z))))>
#<alt (* z (+ 1 (+ (* -1 y) (/ (* x y) z))))>
#<alt (* -1 (* z (- y 1)))>
#<alt (* -1 (* z (- (+ y (* -1 (/ (* x y) z))) 1)))>
#<alt (* -1 (* z (- (+ y (* -1 (/ (* x y) z))) 1)))>
#<alt (* -1 (* z (- (+ y (* -1 (/ (* x y) z))) 1)))>
#<alt z>
#<alt (+ z (* -1 (* y z)))>
#<alt (+ z (* -1 (* y z)))>
#<alt (+ z (* -1 (* y z)))>
#<alt (* -1 (* y z))>
#<alt (* y (+ (* -1 z) (/ z y)))>
#<alt (* y (+ (* -1 z) (/ z y)))>
#<alt (* y (+ (* -1 z) (/ z y)))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y (+ z (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ z (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ z (* -1 (/ z y)))))>
#<alt (* z (+ 1 (* -1 y)))>
#<alt (* z (+ 1 (* -1 y)))>
#<alt (* z (+ 1 (* -1 y)))>
#<alt (* z (+ 1 (* -1 y)))>
#<alt (* z (+ 1 (* -1 y)))>
#<alt (* z (+ 1 (* -1 y)))>
#<alt (* z (+ 1 (* -1 y)))>
#<alt (* z (+ 1 (* -1 y)))>
#<alt (* -1 (* z (- y 1)))>
#<alt (* -1 (* z (- y 1)))>
#<alt (* -1 (* z (- y 1)))>
#<alt (* -1 (* z (- y 1)))>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
Calls

33 calls:

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

rewrite689.0ms (8.3%)

Memory
4.4MiB live, 781.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
10 080×accelerator-lowering-fma.f32
10 080×accelerator-lowering-fma.f64
5 358×*-lowering-*.f32
5 358×*-lowering-*.f64
3 918×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
16324
259722
0887820
Stop Event
iter limit
node limit
Counts
5 → 368
Calls
Call 1
Inputs
(* y x)
(+ (* y x) z)
(+ (* y x) (+ (* y (- 0 z)) z))
(+ (* y (- 0 z)) z)
(- 0 z)
Outputs
(*.f64 y x)
(*.f64 x y)
(+.f64 (*.f64 y x) z)
(+.f64 z (*.f64 y x))
(+.f64 z (+.f64 #s(literal 0 binary64) (*.f64 y x)))
(+.f64 (fma.f64 y x z) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 y x z))
(+.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (*.f64 y x) z)) (neg.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) (-.f64 (*.f64 y x) z))))
(+.f64 (fma.f64 y x #s(literal 0 binary64)) z)
(-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 (*.f64 y x) z)) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (-.f64 (*.f64 y x) z)))
(-.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) (-.f64 z (*.f64 y x))) (/.f64 (*.f64 y (*.f64 y (*.f64 x x))) (-.f64 z (*.f64 y x))))
(fma.f64 y x z)
(fma.f64 x y z)
(fma.f64 z (/.f64 z z) (*.f64 y x))
(fma.f64 z (/.f64 z z) (+.f64 #s(literal 0 binary64) (*.f64 y x)))
(fma.f64 (fma.f64 y x z) (*.f64 (-.f64 (*.f64 y x) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))) #s(literal 0 binary64))
(fma.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (*.f64 y x))
(fma.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 y x)))
(fma.f64 (*.f64 (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z))) (fma.f64 y x z)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 z (-.f64 z (*.f64 y x))))) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z))) (fma.f64 y x z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z)))) #s(literal 0 binary64))
(fma.f64 (*.f64 y (*.f64 y (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)) (neg.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) (-.f64 (*.f64 y x) z))))
(fma.f64 (fma.f64 z z #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) z) (*.f64 y x))
(fma.f64 (fma.f64 z z #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 0 binary64) (*.f64 y x)))
(fma.f64 (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 z (-.f64 z (*.f64 y x)))) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 z (-.f64 z (*.f64 y x)))))) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (*.f64 y x))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (+.f64 #s(literal 0 binary64) (*.f64 y x)))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z))) (fma.f64 y x z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 z (-.f64 z (*.f64 y x)))))) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 y x z) (fma.f64 y (neg.f64 x) z)) (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 x) z)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 y x z) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 y x))) #s(literal 0 binary64))
(fma.f64 (/.f64 z z) z (*.f64 y x))
(fma.f64 (/.f64 z z) z (+.f64 #s(literal 0 binary64) (*.f64 y x)))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3/2 binary64)) z) (/.f64 (pow.f64 z #s(literal 3/2 binary64)) z) (*.f64 y x))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3/2 binary64)) z) (/.f64 (pow.f64 z #s(literal 3/2 binary64)) z) (+.f64 #s(literal 0 binary64) (*.f64 y x)))
(neg.f64 (/.f64 (*.f64 (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z))) (fma.f64 y x z)) (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 z (-.f64 z (*.f64 y x)))))))
(neg.f64 (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (fma.f64 y (neg.f64 x) z)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z))) (fma.f64 y x z))) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 z (-.f64 z (*.f64 y x))))))
(neg.f64 (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 y (neg.f64 x) z)) (-.f64 (*.f64 y x) z)))
(/.f64 (*.f64 (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z))) (fma.f64 y x z)) (fma.f64 y (*.f64 y (*.f64 x x)) (*.f64 z (-.f64 z (*.f64 y x)))))
(/.f64 (*.f64 (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z))) (fma.f64 y x z)) (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z))))
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(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) z))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 z (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 z z (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) #s(literal -1 binary64))
(*.f64 (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))))
(*.f64 (fma.f64 z z #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z))
(*.f64 #s(literal -1 binary64) z)

simplify479.0ms (5.8%)

Memory
20.6MiB live, 524.1MiB allocated
Algorithm
egg-herbie
Rules
8 980×accelerator-lowering-fma.f32
8 980×accelerator-lowering-fma.f64
3 270×*-lowering-*.f32
3 270×*-lowering-*.f64
1 016×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075641
1255588
2666588
31649588
44118588
56208588
08303534
Stop Event
iter limit
node limit
Counts
132 → 132
Calls
Call 1
Inputs
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
z
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
z
(+ z (* y (+ x (* -1 z))))
(+ z (* y (+ x (* -1 z))))
(+ z (* y (+ x (* -1 z))))
(* y (+ x (* -1 z)))
(* y (+ x (+ (* -1 z) (/ z y))))
(* y (+ x (+ (* -1 z) (/ z y))))
(* y (+ x (+ (* -1 z) (/ z y))))
(* -1 (* y (+ z (* -1 x))))
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))
(+ z (* -1 (* y z)))
(+ z (+ (* -1 (* y z)) (* x y)))
(+ z (+ (* -1 (* y z)) (* x y)))
(+ z (+ (* -1 (* y z)) (* x y)))
(* x y)
(* x (+ y (+ (* -1 (/ (* y z) x)) (/ z x))))
(* x (+ y (+ (* -1 (/ (* y z) x)) (/ z x))))
(* x (+ y (+ (* -1 (/ (* y z) x)) (/ z x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1 (* y z))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1 (* y z))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1 (* y z))) x)))))
(* x y)
(+ (* x y) (* z (+ 1 (* -1 y))))
(+ (* x y) (* z (+ 1 (* -1 y))))
(+ (* x y) (* z (+ 1 (* -1 y))))
(* z (+ 1 (* -1 y)))
(* z (+ 1 (+ (* -1 y) (/ (* x y) z))))
(* z (+ 1 (+ (* -1 y) (/ (* x y) z))))
(* z (+ 1 (+ (* -1 y) (/ (* x y) z))))
(* -1 (* z (- y 1)))
(* -1 (* z (- (+ y (* -1 (/ (* x y) z))) 1)))
(* -1 (* z (- (+ y (* -1 (/ (* x y) z))) 1)))
(* -1 (* z (- (+ y (* -1 (/ (* x y) z))) 1)))
z
(+ z (* -1 (* y z)))
(+ z (* -1 (* y z)))
(+ z (* -1 (* y z)))
(* -1 (* y z))
(* y (+ (* -1 z) (/ z y)))
(* y (+ (* -1 z) (/ z y)))
(* y (+ (* -1 z) (/ z y)))
(* -1 (* y z))
(* -1 (* y (+ z (* -1 (/ z y)))))
(* -1 (* y (+ z (* -1 (/ z y)))))
(* -1 (* y (+ z (* -1 (/ z y)))))
(* z (+ 1 (* -1 y)))
(* z (+ 1 (* -1 y)))
(* z (+ 1 (* -1 y)))
(* z (+ 1 (* -1 y)))
(* z (+ 1 (* -1 y)))
(* z (+ 1 (* -1 y)))
(* z (+ 1 (* -1 y)))
(* z (+ 1 (* -1 y)))
(* -1 (* z (- y 1)))
(* -1 (* z (- y 1)))
(* -1 (* z (- y 1)))
(* -1 (* z (- y 1)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
Outputs
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* y (+ x (/ z y)))
(fma.f64 x y z)
(* y (+ x (/ z y)))
(fma.f64 x y z)
(* y (+ x (/ z y)))
(fma.f64 x y z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(fma.f64 x y z)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(fma.f64 x y z)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(fma.f64 x y z)
z
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x (+ y (/ z x)))
(fma.f64 x y z)
(* x (+ y (/ z x)))
(fma.f64 x y z)
(* x (+ y (/ z x)))
(fma.f64 x y z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(fma.f64 x y z)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(fma.f64 x y z)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(fma.f64 x y z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
(+ z (* x y))
(fma.f64 x y z)
z
(* z (+ 1 (/ (* x y) z)))
(fma.f64 x y z)
(* z (+ 1 (/ (* x y) z)))
(fma.f64 x y z)
(* z (+ 1 (/ (* x y) z)))
(fma.f64 x y z)
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(fma.f64 x y z)
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(fma.f64 x y z)
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(fma.f64 x y z)
z
(+ z (* y (+ x (* -1 z))))
(fma.f64 y (-.f64 x z) z)
(+ z (* y (+ x (* -1 z))))
(fma.f64 y (-.f64 x z) z)
(+ z (* y (+ x (* -1 z))))
(fma.f64 y (-.f64 x z) z)
(* y (+ x (* -1 z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (+ x (+ (* -1 z) (/ z y))))
(fma.f64 y (-.f64 x z) z)
(* y (+ x (+ (* -1 z) (/ z y))))
(fma.f64 y (-.f64 x z) z)
(* y (+ x (+ (* -1 z) (/ z y))))
(fma.f64 y (-.f64 x z) z)
(* -1 (* y (+ z (* -1 x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))
(fma.f64 y (-.f64 x z) z)
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))
(fma.f64 y (-.f64 x z) z)
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))
(fma.f64 y (-.f64 x z) z)
(+ z (* -1 (* y z)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(+ z (+ (* -1 (* y z)) (* x y)))
(fma.f64 y (-.f64 x z) z)
(+ z (+ (* -1 (* y z)) (* x y)))
(fma.f64 y (-.f64 x z) z)
(+ z (+ (* -1 (* y z)) (* x y)))
(fma.f64 y (-.f64 x z) z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x (+ y (+ (* -1 (/ (* y z) x)) (/ z x))))
(fma.f64 y (-.f64 x z) z)
(* x (+ y (+ (* -1 (/ (* y z) x)) (/ z x))))
(fma.f64 y (-.f64 x z) z)
(* x (+ y (+ (* -1 (/ (* y z) x)) (/ z x))))
(fma.f64 y (-.f64 x z) z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1 (* y z))) x)))))
(fma.f64 y (-.f64 x z) z)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1 (* y z))) x)))))
(fma.f64 y (-.f64 x z) z)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1 (* y z))) x)))))
(fma.f64 y (-.f64 x z) z)
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(+ (* x y) (* z (+ 1 (* -1 y))))
(fma.f64 y (-.f64 x z) z)
(+ (* x y) (* z (+ 1 (* -1 y))))
(fma.f64 y (-.f64 x z) z)
(+ (* x y) (* z (+ 1 (* -1 y))))
(fma.f64 y (-.f64 x z) z)
(* z (+ 1 (* -1 y)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* z (+ 1 (+ (* -1 y) (/ (* x y) z))))
(fma.f64 y (-.f64 x z) z)
(* z (+ 1 (+ (* -1 y) (/ (* x y) z))))
(fma.f64 y (-.f64 x z) z)
(* z (+ 1 (+ (* -1 y) (/ (* x y) z))))
(fma.f64 y (-.f64 x z) z)
(* -1 (* z (- y 1)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* -1 (* z (- (+ y (* -1 (/ (* x y) z))) 1)))
(fma.f64 y (-.f64 x z) z)
(* -1 (* z (- (+ y (* -1 (/ (* x y) z))) 1)))
(fma.f64 y (-.f64 x z) z)
(* -1 (* z (- (+ y (* -1 (/ (* x y) z))) 1)))
(fma.f64 y (-.f64 x z) z)
z
(+ z (* -1 (* y z)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(+ z (* -1 (* y z)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(+ z (* -1 (* y z)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64)))
(* y (+ (* -1 z) (/ z y)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* y (+ (* -1 z) (/ z y)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* y (+ (* -1 z) (/ z y)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (fma.f64 y z #s(literal 0 binary64)))
(* -1 (* y (+ z (* -1 (/ z y)))))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* -1 (* y (+ z (* -1 (/ z y)))))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* -1 (* y (+ z (* -1 (/ z y)))))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* z (+ 1 (* -1 y)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* z (+ 1 (* -1 y)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* z (+ 1 (* -1 y)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* z (+ 1 (* -1 y)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* z (+ 1 (* -1 y)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* z (+ 1 (* -1 y)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* z (+ 1 (* -1 y)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* z (+ 1 (* -1 y)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* -1 (* z (- y 1)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* -1 (* z (- y 1)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* -1 (* z (- y 1)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* -1 (* z (- y 1)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)

eval74.0ms (0.9%)

Memory
3.1MiB live, 193.6MiB allocated
Compiler

Compiled 12 761 to 1 031 computations (91.9% saved)

prune60.0ms (0.7%)

Memory
-16.0MiB live, 168.5MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New4991500
Fresh000
Picked123
Done022
Total5005505
Accuracy
100.0%
Counts
505 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(fma.f64 (neg.f64 y) z (fma.f64 y x z))
100.0%
(fma.f64 y (-.f64 x z) z)
75.9%
(fma.f64 y x z)
45.3%
(*.f64 y x)
32.5%
z
Compiler

Compiled 37 to 22 computations (40.5% saved)

simplify111.0ms (1.3%)

Memory
-32.2MiB live, 87.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
12019
23818
37717
412717
523917
643417
759717
863117
963317
063315
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* (neg y) z) (+ (* y x) z))
(neg y)
y
z
(+ (* y x) z)
x
Outputs
(+ (* (neg y) z) (+ (* y x) z))
(fma.f64 y (-.f64 x z) z)
(neg y)
(-.f64 #s(literal 0 binary64) y)
y
z
(+ (* y x) z)
(fma.f64 y x z)
x

localize45.0ms (0.5%)

Memory
1.7MiB live, 41.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 y x z)
accuracy100.0%
(neg.f64 y)
accuracy98.8%
(fma.f64 (neg.f64 y) z (fma.f64 y x z))
Samples
37.0ms256×0valid
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 (43% of total)
ival-add: 2.0ms (28.7% of total)
ival-neg: 1.0ms (14.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Counts
3 → 84
Calls
Call 1
Inputs
#<alt (+ (* (neg y) z) (+ (* y x) z))>
#<alt (+ (* y x) z)>
#<alt (neg y)>
Outputs
#<alt z>
#<alt (+ z (* y (+ x (* -1 z))))>
#<alt (+ z (* y (+ x (* -1 z))))>
#<alt (+ z (* y (+ x (* -1 z))))>
#<alt (* y (+ x (* -1 z)))>
#<alt (* y (+ x (+ (* -1 z) (/ z y))))>
#<alt (* y (+ x (+ (* -1 z) (/ z y))))>
#<alt (* y (+ x (+ (* -1 z) (/ z y))))>
#<alt (* -1 (* y (+ z (* -1 x))))>
#<alt (* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))>
#<alt (* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))>
#<alt (* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))>
#<alt (* x y)>
#<alt (+ (* x y) (* z (+ 1 (* -1 y))))>
#<alt (+ (* x y) (* z (+ 1 (* -1 y))))>
#<alt (+ (* x y) (* z (+ 1 (* -1 y))))>
#<alt (* z (+ 1 (* -1 y)))>
#<alt (* z (+ 1 (+ (* -1 y) (/ (* x y) z))))>
#<alt (* z (+ 1 (+ (* -1 y) (/ (* x y) z))))>
#<alt (* z (+ 1 (+ (* -1 y) (/ (* x y) z))))>
#<alt (* -1 (* z (- y 1)))>
#<alt (* -1 (* z (- (+ y (* -1 (/ (* x y) z))) 1)))>
#<alt (* -1 (* z (- (+ y (* -1 (/ (* x y) z))) 1)))>
#<alt (* -1 (* z (- (+ y (* -1 (/ (* x y) z))) 1)))>
#<alt (+ z (* -1 (* y z)))>
#<alt (+ z (+ (* -1 (* y z)) (* x y)))>
#<alt (+ z (+ (* -1 (* y z)) (* x y)))>
#<alt (+ z (+ (* -1 (* y z)) (* x y)))>
#<alt (* x y)>
#<alt (* x (+ y (+ (* -1 (/ (* y z) x)) (/ z x))))>
#<alt (* x (+ y (+ (* -1 (/ (* y z) x)) (/ z x))))>
#<alt (* x (+ y (+ (* -1 (/ (* y z) x)) (/ z x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1 (* y z))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1 (* y z))) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1 (* y z))) x)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* y (+ x (/ z y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))>
#<alt z>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x (+ y (/ z x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))>
#<alt (* x y)>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt (+ z (* x y))>
#<alt z>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt (* z (+ 1 (/ (* x y) z)))>
#<alt z>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<alt (* -1 (* z (- (* -1 (/ (* x y) z)) 1)))>
#<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
@-inf
(+ (* (neg y) z) (+ (* y x) z))
0.0ms
y
@0
(+ (* (neg y) z) (+ (* y x) z))
0.0ms
y
@inf
(+ (* (neg y) z) (+ (* y x) z))
0.0ms
z
@-inf
(+ (* (neg y) z) (+ (* y x) z))

rewrite445.0ms (5.4%)

Memory
3.5MiB live, 630.4MiB allocated
Algorithm
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
iter limit
node limit
Counts
3 → 216
Calls
Call 1
Inputs
(+ (* (neg y) z) (+ (* y x) z))
(+ (* y x) z)
(neg y)
Outputs
(+.f64 z (*.f64 y (+.f64 (-.f64 #s(literal 0 binary64) z) x)))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) z) (fma.f64 y x z))
(+.f64 (*.f64 y x) (-.f64 z (*.f64 y z)))
(+.f64 (fma.f64 y x z) (*.f64 (-.f64 #s(literal 0 binary64) y) z))
(+.f64 (*.f64 y (+.f64 (-.f64 #s(literal 0 binary64) z) x)) z)
(+.f64 (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) z) x) (-.f64 #s(literal 0 binary64) z))) (neg.f64 (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x z)) (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) z) x) (-.f64 #s(literal 0 binary64) z)))))
(+.f64 (-.f64 z (*.f64 y z)) (*.f64 y x))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 (-.f64 #s(literal 0 binary64) z) x) z))) #s(literal -1 binary64)))
(-.f64 (fma.f64 y x z) (*.f64 y z))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y z) (fma.f64 y x z)))
(-.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (-.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z)) (*.f64 (-.f64 #s(literal 0 binary64) y) z)))
(-.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (fma.f64 z (/.f64 z (-.f64 (*.f64 y x) z)) (*.f64 y z)))
(-.f64 (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) z) x) (-.f64 #s(literal 0 binary64) z))) (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x z)) (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) z) x) (-.f64 #s(literal 0 binary64) z))))
(-.f64 (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x z)) (+.f64 (fma.f64 y x z) (*.f64 y z))) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (+.f64 (fma.f64 y x z) (*.f64 y z))))
(-.f64 (/.f64 (*.f64 (*.f64 y (+.f64 (-.f64 #s(literal 0 binary64) z) x)) (*.f64 y (+.f64 (-.f64 #s(literal 0 binary64) z) x))) (-.f64 (*.f64 y (+.f64 (-.f64 #s(literal 0 binary64) z) x)) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 y (+.f64 (-.f64 #s(literal 0 binary64) z) x)) z)))
(-.f64 (fma.f64 y (-.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z))) (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z)))
(-.f64 (+.f64 (fma.f64 y x z) #s(literal 0 binary64)) (*.f64 y z))
(fma.f64 y x (-.f64 z (*.f64 y z)))
(fma.f64 y (-.f64 #s(literal 0 binary64) z) (fma.f64 y x z))
(fma.f64 y (+.f64 (-.f64 #s(literal 0 binary64) z) x) z)
(fma.f64 y (+.f64 x (-.f64 #s(literal 0 binary64) z)) z)
(fma.f64 (-.f64 #s(literal 0 binary64) y) z (fma.f64 y x z))
(fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 (neg.f64 (*.f64 (*.f64 y z) z)) (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) z) x) (-.f64 #s(literal 0 binary64) z))) (neg.f64 (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x z)) (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) z) x) (-.f64 #s(literal 0 binary64) z)))))
(fma.f64 z (-.f64 #s(literal 0 binary64) y) (fma.f64 y x z))
(fma.f64 z (/.f64 (*.f64 y (*.f64 y z)) (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) z) x) (-.f64 #s(literal 0 binary64) z))) (neg.f64 (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x z)) (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) z) x) (-.f64 #s(literal 0 binary64) z)))))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) z) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) z) (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) z) x) (-.f64 #s(literal 0 binary64) z))) (neg.f64 (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x z)) (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) z) x) (-.f64 #s(literal 0 binary64) z)))))
(fma.f64 x y (-.f64 z (*.f64 y z)))
(fma.f64 (fma.f64 y x z) (*.f64 (-.f64 (*.f64 y x) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))) (*.f64 (-.f64 #s(literal 0 binary64) y) z))
(fma.f64 (fma.f64 y x z) (/.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)) (*.f64 (-.f64 #s(literal 0 binary64) y) z))
(fma.f64 (*.f64 (fma.f64 y x z) (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z)))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z)))) (*.f64 (-.f64 #s(literal 0 binary64) y) z))
(fma.f64 (*.f64 z z) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) z) x) (-.f64 #s(literal 0 binary64) z))) (neg.f64 (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x z)) (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) z) x) (-.f64 #s(literal 0 binary64) z)))))
(fma.f64 (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z))) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z))))) (*.f64 (-.f64 #s(literal 0 binary64) y) z))
(fma.f64 (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z))) (/.f64 (fma.f64 y x z) (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z)))) (*.f64 (-.f64 #s(literal 0 binary64) y) z))
(fma.f64 (*.f64 y (*.f64 z (*.f64 y z))) (/.f64 #s(literal -1 binary64) (fma.f64 y z (fma.f64 y x z))) (neg.f64 (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x z)) (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) z) x) (-.f64 #s(literal 0 binary64) z)))))
(fma.f64 #s(literal -1 binary64) (*.f64 y z) (fma.f64 y x z))
(fma.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)) (*.f64 (-.f64 #s(literal 0 binary64) y) z))
(fma.f64 (*.f64 y z) #s(literal -1 binary64) (fma.f64 y x z))
(fma.f64 (*.f64 y z) (/.f64 (*.f64 y z) (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) z) x) (-.f64 #s(literal 0 binary64) z))) (neg.f64 (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x z)) (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) z) x) (-.f64 #s(literal 0 binary64) z)))))
(fma.f64 (*.f64 (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z))) (-.f64 #s(literal 0 binary64) (fma.f64 y x z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z))))) (*.f64 (-.f64 #s(literal 0 binary64) y) z))
(fma.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y x z)) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y x) z))) (*.f64 (-.f64 #s(literal 0 binary64) y) z))
(fma.f64 (fma.f64 y (*.f64 x (*.f64 y (*.f64 x (*.f64 y x)))) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) z) (*.f64 y (*.f64 z (*.f64 y z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (*.f64 (-.f64 #s(literal 0 binary64) y) z)) (*.f64 y (*.f64 z (*.f64 y z))))) z)
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (/.f64 (*.f64 z z) (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) z) x) (-.f64 #s(literal 0 binary64) z))) (neg.f64 (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x z)) (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) z) x) (-.f64 #s(literal 0 binary64) z)))))
(fma.f64 #s(literal 1 binary64) (fma.f64 y x z) (*.f64 (-.f64 #s(literal 0 binary64) y) z))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z)))) (*.f64 (fma.f64 y x z) (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z)))) (*.f64 (-.f64 #s(literal 0 binary64) y) z))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (-.f64 #s(literal 0 binary64) y) z))
(fma.f64 (-.f64 #s(literal 0 binary64) z) y (fma.f64 y x z))
(fma.f64 (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 y x))) (*.f64 (-.f64 #s(literal 0 binary64) y) z))
(fma.f64 (*.f64 (*.f64 y (+.f64 (-.f64 #s(literal 0 binary64) z) x)) (*.f64 y (-.f64 (-.f64 #s(literal 0 binary64) z) x))) (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (-.f64 #s(literal 0 binary64) z) x))) z)
(fma.f64 (neg.f64 (*.f64 (*.f64 y z) z)) (/.f64 (-.f64 #s(literal 0 binary64) y) (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) z) x) (-.f64 #s(literal 0 binary64) z))) (neg.f64 (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x z)) (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) z) x) (-.f64 #s(literal 0 binary64) z)))))
(fma.f64 (*.f64 y (*.f64 y z)) (/.f64 z (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) z) x) (-.f64 #s(literal 0 binary64) z))) (neg.f64 (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x z)) (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) z) x) (-.f64 #s(literal 0 binary64) z)))))
(fma.f64 (+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)) z (*.f64 y x))
(fma.f64 (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (fma.f64 y x z) (*.f64 (-.f64 #s(literal 0 binary64) y) z))
(fma.f64 (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 (fma.f64 y (+.f64 (-.f64 #s(literal 0 binary64) z) x) z) (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) z) x) (-.f64 #s(literal 0 binary64) z)))) (fma.f64 y (+.f64 (-.f64 #s(literal 0 binary64) z) x) z) (neg.f64 (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x z)) (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) z) x) (-.f64 #s(literal 0 binary64) z)))))
(fma.f64 (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 (fma.f64 y x z) (fma.f64 y (+.f64 (-.f64 #s(literal 0 binary64) z) x) z))) (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) z) x) (-.f64 #s(literal 0 binary64) z)))) (fma.f64 y (*.f64 z (*.f64 y z)) (*.f64 (fma.f64 y x z) (fma.f64 y (+.f64 (-.f64 #s(literal 0 binary64) z) x) z))) (neg.f64 (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 y x z)) (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) z) x) (-.f64 #s(literal 0 binary64) z)))))
(fma.f64 (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z)))) (fma.f64 (*.f64 y x) (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 (*.f64 y (*.f64 y x)) (*.f64 x (*.f64 y x)))) (*.f64 (*.f64 z (-.f64 z (*.f64 y x))) (*.f64 (*.f64 z (-.f64 z (*.f64 y x))) (*.f64 z (-.f64 z (*.f64 y x))))))) (fma.f64 (*.f64 z (-.f64 z (*.f64 y x))) (-.f64 (*.f64 z (-.f64 z (*.f64 y x))) (*.f64 y (*.f64 x (*.f64 y x)))) (*.f64 (*.f64 y x) (*.f64 (*.f64 y (*.f64 y x)) (*.f64 x (*.f64 y x))))) (*.f64 (-.f64 #s(literal 0 binary64) y) z))
(fma.f64 (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z)))) (*.f64 (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z))) (fma.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z) (*.f64 y (*.f64 z x))))) (fma.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z) (*.f64 y (*.f64 z x))) (*.f64 (-.f64 #s(literal 0 binary64) y) z))
(fma.f64 (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 (*.f64 y (*.f64 y x)) (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z)))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (fma.f64 y x z))) (*.f64 (-.f64 #s(literal 0 binary64) y) z))
(neg.f64 (/.f64 (fma.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (fma.f64 y x z)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) z) (*.f64 y (*.f64 z (*.f64 y z))))) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y x z) (+.f64 (fma.f64 y x z) (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))))))
(neg.f64 (/.f64 (*.f64 (fma.f64 y (+.f64 (-.f64 #s(literal 0 binary64) z) x) z) (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) z) x) (-.f64 #s(literal 0 binary64) z))) (fma.f64 y z (fma.f64 y x z))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (fma.f64 y x z)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) z) (*.f64 y (*.f64 z (*.f64 y z)))))) (fma.f64 (fma.f64 y x z) (+.f64 (fma.f64 y x z) (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z))))))
(neg.f64 (/.f64 (*.f64 (fma.f64 y (+.f64 (-.f64 #s(literal 0 binary64) z) x) z) (fma.f64 y z (fma.f64 y x z))) (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) z) x) (-.f64 #s(literal 0 binary64) z))))
(/.f64 (fma.f64 (fma.f64 y x z) (*.f64 (fma.f64 y x z) (fma.f64 y x z)) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) z) (*.f64 y (*.f64 z (*.f64 y z))))) (fma.f64 (fma.f64 y x z) (+.f64 (fma.f64 y x z) (*.f64 y z)) (*.f64 y (*.f64 z (*.f64 y z)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 (-.f64 #s(literal 0 binary64) z) x) z))))
(/.f64 (*.f64 (fma.f64 y (+.f64 (-.f64 #s(literal 0 binary64) z) x) z) (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) z) x) (-.f64 #s(literal 0 binary64) z))) (fma.f64 y (-.f64 (-.f64 #s(literal 0 binary64) z) x) (-.f64 #s(literal 0 binary64) z)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (fma.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z)) (*.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z)) (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 y x) z))) (*.f64 (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z)))) (fma.f64 (*.f64 y x) (/.f64 (*.f64 y x) (-.f64 (*.f64 y x) z)) (/.f64 (*.f64 z z) (-.f64 (*.f64 y x) z))))
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y x)) (*.f64 x (*.f64 y x))) (*.f64 (*.f64 (*.f64 y (*.f64 y x)) (*.f64 x (*.f64 y x))) (*.f64 (*.f64 y (*.f64 y x)) (*.f64 x (*.f64 y x)))) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z))))) (fma.f64 (*.f64 z (*.f64 z z)) (-.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 y (*.f64 y x)) (*.f64 x (*.f64 y x)))) (*.f64 (*.f64 (*.f64 y (*.f64 y x)) (*.f64 x (*.f64 y x))) (*.f64 (*.f64 y (*.f64 y x)) (*.f64 x (*.f64 y x))))))
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y x z) (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z)))) (-.f64 (*.f64 (*.f64 y (*.f64 y x)) (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z))))) (-.f64 (*.f64 (*.f64 y (*.f64 y x)) (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z))))
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y x z) (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z)))) (-.f64 (*.f64 (*.f64 y (*.f64 y x)) (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))) (fma.f64 (*.f64 z z) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z z)) (*.f64 (*.f64 y x) (*.f64 (*.f64 y (*.f64 y x)) (*.f64 x (*.f64 y x))))))
(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z z)) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z z)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x z)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x z)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 z (*.f64 y x)) (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x)))) #s(literal -1 binary64))
(*.f64 (fma.f64 y x z) (*.f64 (-.f64 (*.f64 y x) z) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z))))
(*.f64 (fma.f64 y x z) (/.f64 (-.f64 (*.f64 y x) z) (-.f64 (*.f64 y x) z)))
(*.f64 (*.f64 (fma.f64 y x z) (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z)))) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z)))))
(*.f64 (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z))) (*.f64 (fma.f64 y x z) (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z))))))
(*.f64 (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z))) (/.f64 (fma.f64 y x z) (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z)))))
(*.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)))
(*.f64 (*.f64 (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z))) (-.f64 #s(literal 0 binary64) (fma.f64 y x z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z))))))
(*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y x z)) (-.f64 (*.f64 y x) z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y x) z))))
(*.f64 #s(literal 1 binary64) (fma.f64 y x z))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z)))) (*.f64 (fma.f64 y x z) (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)))
(*.f64 (*.f64 (fma.f64 y x z) (-.f64 z (*.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 z (*.f64 y x))))
(*.f64 (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z))) (fma.f64 y x z))
(*.f64 (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z)))) (fma.f64 (*.f64 y x) (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 (*.f64 y (*.f64 y x)) (*.f64 x (*.f64 y x)))) (*.f64 (*.f64 z (-.f64 z (*.f64 y x))) (*.f64 (*.f64 z (-.f64 z (*.f64 y x))) (*.f64 z (-.f64 z (*.f64 y x))))))) (fma.f64 (*.f64 z (-.f64 z (*.f64 y x))) (-.f64 (*.f64 z (-.f64 z (*.f64 y x))) (*.f64 y (*.f64 x (*.f64 y x)))) (*.f64 (*.f64 y x) (*.f64 (*.f64 y (*.f64 y x)) (*.f64 x (*.f64 y x))))))
(*.f64 (/.f64 (*.f64 (fma.f64 y x z) (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z)))) (*.f64 (fma.f64 z z (*.f64 (*.f64 y x) (-.f64 (*.f64 y x) z))) (fma.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z) (*.f64 y (*.f64 z x))))) (fma.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z) (*.f64 y (*.f64 z x))))
(*.f64 (/.f64 (*.f64 (fma.f64 y x z) (-.f64 (*.f64 y x) z)) (-.f64 (*.f64 (*.f64 y (*.f64 y x)) (*.f64 x (*.f64 y x))) (*.f64 z (*.f64 z z)))) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 z (fma.f64 y x z))))
(+.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))

simplify285.0ms (3.5%)

Memory
43.0MiB live, 431.9MiB allocated
Algorithm
egg-herbie
Rules
8 976×accelerator-lowering-fma.f32
8 976×accelerator-lowering-fma.f64
3 270×*-lowering-*.f32
3 270×*-lowering-*.f64
1 016×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071434
1242402
2637402
31630402
44130402
56221402
08322348
Stop Event
iter limit
node limit
Counts
84 → 84
Calls
Call 1
Inputs
z
(+ z (* y (+ x (* -1 z))))
(+ z (* y (+ x (* -1 z))))
(+ z (* y (+ x (* -1 z))))
(* y (+ x (* -1 z)))
(* y (+ x (+ (* -1 z) (/ z y))))
(* y (+ x (+ (* -1 z) (/ z y))))
(* y (+ x (+ (* -1 z) (/ z y))))
(* -1 (* y (+ z (* -1 x))))
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))
(* x y)
(+ (* x y) (* z (+ 1 (* -1 y))))
(+ (* x y) (* z (+ 1 (* -1 y))))
(+ (* x y) (* z (+ 1 (* -1 y))))
(* z (+ 1 (* -1 y)))
(* z (+ 1 (+ (* -1 y) (/ (* x y) z))))
(* z (+ 1 (+ (* -1 y) (/ (* x y) z))))
(* z (+ 1 (+ (* -1 y) (/ (* x y) z))))
(* -1 (* z (- y 1)))
(* -1 (* z (- (+ y (* -1 (/ (* x y) z))) 1)))
(* -1 (* z (- (+ y (* -1 (/ (* x y) z))) 1)))
(* -1 (* z (- (+ y (* -1 (/ (* x y) z))) 1)))
(+ z (* -1 (* y z)))
(+ z (+ (* -1 (* y z)) (* x y)))
(+ z (+ (* -1 (* y z)) (* x y)))
(+ z (+ (* -1 (* y z)) (* x y)))
(* x y)
(* x (+ y (+ (* -1 (/ (* y z) x)) (/ z x))))
(* x (+ y (+ (* -1 (/ (* y z) x)) (/ z x))))
(* x (+ y (+ (* -1 (/ (* y z) x)) (/ z x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1 (* y z))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1 (* y z))) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1 (* y z))) x)))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* y (+ x (/ z y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
z
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
(* x y)
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x (+ y (/ z x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(* x y)
(+ z (* x y))
(+ z (* x y))
(+ z (* x y))
z
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
(* z (+ 1 (/ (* x y) z)))
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(* -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
z
(+ z (* y (+ x (* -1 z))))
(fma.f64 y (-.f64 x z) z)
(+ z (* y (+ x (* -1 z))))
(fma.f64 y (-.f64 x z) z)
(+ z (* y (+ x (* -1 z))))
(fma.f64 y (-.f64 x z) z)
(* y (+ x (* -1 z)))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* y (+ x (+ (* -1 z) (/ z y))))
(fma.f64 y (-.f64 x z) z)
(* y (+ x (+ (* -1 z) (/ z y))))
(fma.f64 y (-.f64 x z) z)
(* y (+ x (+ (* -1 z) (/ z y))))
(fma.f64 y (-.f64 x z) z)
(* -1 (* y (+ z (* -1 x))))
(fma.f64 y (-.f64 x z) #s(literal 0 binary64))
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))
(fma.f64 y (-.f64 x z) z)
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))
(fma.f64 y (-.f64 x z) z)
(* -1 (* y (+ z (+ (* -1 x) (* -1 (/ z y))))))
(fma.f64 y (-.f64 x z) z)
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(+ (* x y) (* z (+ 1 (* -1 y))))
(fma.f64 y (-.f64 x z) z)
(+ (* x y) (* z (+ 1 (* -1 y))))
(fma.f64 y (-.f64 x z) z)
(+ (* x y) (* z (+ 1 (* -1 y))))
(fma.f64 y (-.f64 x z) z)
(* z (+ 1 (* -1 y)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* z (+ 1 (+ (* -1 y) (/ (* x y) z))))
(fma.f64 y (-.f64 x z) z)
(* z (+ 1 (+ (* -1 y) (/ (* x y) z))))
(fma.f64 y (-.f64 x z) z)
(* z (+ 1 (+ (* -1 y) (/ (* x y) z))))
(fma.f64 y (-.f64 x z) z)
(* -1 (* z (- y 1)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* -1 (* z (- (+ y (* -1 (/ (* x y) z))) 1)))
(fma.f64 y (-.f64 x z) z)
(* -1 (* z (- (+ y (* -1 (/ (* x y) z))) 1)))
(fma.f64 y (-.f64 x z) z)
(* -1 (* z (- (+ y (* -1 (/ (* x y) z))) 1)))
(fma.f64 y (-.f64 x z) z)
(+ z (* -1 (* y z)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(+ z (+ (* -1 (* y z)) (* x y)))
(fma.f64 y (-.f64 x z) z)
(+ z (+ (* -1 (* y z)) (* x y)))
(fma.f64 y (-.f64 x z) z)
(+ z (+ (* -1 (* y z)) (* x y)))
(fma.f64 y (-.f64 x z) z)
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x (+ y (+ (* -1 (/ (* y z) x)) (/ z x))))
(fma.f64 y (-.f64 x z) z)
(* x (+ y (+ (* -1 (/ (* y z) x)) (/ z x))))
(fma.f64 y (-.f64 x z) z)
(* x (+ y (+ (* -1 (/ (* y z) x)) (/ z x))))
(fma.f64 y (-.f64 x z) z)
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1 (* y z))) x)))))
(fma.f64 y (-.f64 x z) z)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1 (* y z))) x)))))
(fma.f64 y (-.f64 x z) z)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ z (* -1 (* y z))) x)))))
(fma.f64 y (-.f64 x z) z)
z
(+ z (* x y))
(fma.f64 y x z)
(+ z (* x y))
(fma.f64 y x z)
(+ z (* x y))
(fma.f64 y x z)
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* y (+ x (/ z y)))
(fma.f64 y x z)
(* y (+ x (/ z y)))
(fma.f64 y x z)
(* y (+ x (/ z y)))
(fma.f64 y x z)
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(fma.f64 y x z)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(fma.f64 y x z)
(* -1 (* y (+ (* -1 x) (* -1 (/ z y)))))
(fma.f64 y x z)
z
(+ z (* x y))
(fma.f64 y x z)
(+ z (* x y))
(fma.f64 y x z)
(+ z (* x y))
(fma.f64 y x z)
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* x (+ y (/ z x)))
(fma.f64 y x z)
(* x (+ y (/ z x)))
(fma.f64 y x z)
(* x (+ y (/ z x)))
(fma.f64 y x z)
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(fma.f64 y x z)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(fma.f64 y x z)
(* -1 (* x (+ (* -1 y) (* -1 (/ z x)))))
(fma.f64 y x z)
(* x y)
(fma.f64 y x #s(literal 0 binary64))
(+ z (* x y))
(fma.f64 y x z)
(+ z (* x y))
(fma.f64 y x z)
(+ z (* x y))
(fma.f64 y x z)
z
(* z (+ 1 (/ (* x y) z)))
(fma.f64 y x z)
(* z (+ 1 (/ (* x y) z)))
(fma.f64 y x z)
(* z (+ 1 (/ (* x y) z)))
(fma.f64 y x z)
z
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(fma.f64 y x z)
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(fma.f64 y x z)
(* -1 (* z (- (* -1 (/ (* x y) z)) 1)))
(fma.f64 y x z)
(* -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)

eval42.0ms (0.5%)

Memory
-49.0MiB live, 104.0MiB allocated
Compiler

Compiled 8 961 to 628 computations (93% saved)

prune72.0ms (0.9%)

Memory
11.3MiB live, 89.5MiB 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
98.8%
(fma.f64 (neg.f64 y) z (fma.f64 y x z))
56.5%
(fma.f64 (neg.f64 y) z z)
100.0%
(fma.f64 y (-.f64 x z) z)
75.9%
(fma.f64 y x z)
45.3%
(*.f64 y x)
32.5%
z
Compiler

Compiled 102 to 48 computations (52.9% saved)

regimes17.0ms (0.2%)

Memory
-14.5MiB live, 29.8MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
z
(*.f64 y x)
(fma.f64 y x #s(literal 0 binary64))
(fma.f64 y x z)
(+.f64 (*.f64 x y) z)
(fma.f64 (neg.f64 y) z z)
(fma.f64 y (-.f64 x z) z)
(fma.f64 (neg.f64 y) z (fma.f64 y x z))
(fma.f64 y x (fma.f64 y (-.f64 #s(literal 0 binary64) z) z))
(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y)))
Outputs
(fma.f64 y (-.f64 x z) z)
Calls

4 calls:

6.0ms
z
4.0ms
x
4.0ms
y
4.0ms
(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes11.0ms (0.1%)

Memory
20.2MiB live, 20.2MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
z
(*.f64 y x)
(fma.f64 y x #s(literal 0 binary64))
(fma.f64 y x z)
(+.f64 (*.f64 x y) z)
(fma.f64 (neg.f64 y) z z)
Outputs
(fma.f64 y x z)
(fma.f64 (neg.f64 y) z z)
(fma.f64 y x z)
Calls

4 calls:

3.0ms
z
3.0ms
x
3.0ms
(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y)))
3.0ms
y
Results
AccuracySegmentsBranch
89.1%3x
78.3%2y
86.1%3z
75.9%1(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes34.0ms (0.4%)

Memory
-19.5MiB live, 19.7MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
z
(*.f64 y x)
(fma.f64 y x #s(literal 0 binary64))
(fma.f64 y x z)
(+.f64 (*.f64 x y) z)
Outputs
(fma.f64 y x z)
Calls

4 calls:

26.0ms
z
2.0ms
y
2.0ms
x
2.0ms
(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y)))
Results
AccuracySegmentsBranch
75.9%1(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y)))
75.9%1y
75.9%1z
75.9%1x
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes8.0ms (0.1%)

Memory
16.9MiB live, 16.9MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
z
(*.f64 y x)
(fma.f64 y x #s(literal 0 binary64))
Outputs
(*.f64 y x)
z
(*.f64 y x)
Calls

4 calls:

2.0ms
y
2.0ms
(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y)))
2.0ms
z
2.0ms
x
Results
AccuracySegmentsBranch
56.1%3x
59.3%3y
56.7%3z
51.3%3(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y)))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes13.0ms (0.2%)

Memory
-23.4MiB live, 15.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

9.0ms
x
1.0ms
(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y)))
1.0ms
y
1.0ms
z
Results
AccuracySegmentsBranch
32.5%1(+.f64 (*.f64 x y) (*.f64 z (-.f64 #s(literal 1 binary64) y)))
32.5%1x
32.5%1z
32.5%1y
Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch19.0ms (0.2%)

Memory
3.2MiB live, 39.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
2.67999847992547e-78
4.1994340843520454e-76
6.0ms
-3.974244251455079e-65
-1.8843661901649006e-65
Samples
9.0ms192×0valid
Compiler

Compiled 219 to 146 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (63.1% of total)
ival-sub: 1.0ms (21% of total)
ival-add: 1.0ms (21% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch26.0ms (0.3%)

Memory
14.1MiB live, 54.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
2.0966764993145457e-81
2.2946742711667343e-54
6.0ms
-1.3513678167541612e-19
-4.545496108297971e-20
Samples
16.0ms256×0valid
Compiler

Compiled 207 to 158 computations (23.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (48.5% of total)
ival-sub: 1.0ms (16.2% of total)
ival-add: 1.0ms (16.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify11.0ms (0.1%)

Memory
-16.4MiB live, 21.1MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02142
13442
23942
34242
44342
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 y (-.f64 x z) z)
(if (<=.f64 x #s(literal -7351408161498731/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) (fma.f64 y x z) (if (<=.f64 x #s(literal 3754664711579725/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256 binary64)) (fma.f64 (neg.f64 y) z z) (fma.f64 y x z)))
(fma.f64 y x z)
(if (<=.f64 y #s(literal -6230756230241793/83076749736557242056487941267521536 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal 4351578318585633/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) z (*.f64 y x)))
z
Outputs
(fma.f64 y (-.f64 x z) z)
(if (<=.f64 x #s(literal -7351408161498731/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) (fma.f64 y x z) (if (<=.f64 x #s(literal 3754664711579725/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256 binary64)) (fma.f64 (neg.f64 y) z z) (fma.f64 y x z)))
(if (<=.f64 x #s(literal -7351408161498731/237142198758023568227473377297792835283496928595231875152809132048206089502588928 binary64)) (fma.f64 y x z) (if (<=.f64 x #s(literal 3754664711579725/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) y) z z) (fma.f64 y x z)))
(fma.f64 y x z)
(if (<=.f64 y #s(literal -6230756230241793/83076749736557242056487941267521536 binary64)) (*.f64 y x) (if (<=.f64 y #s(literal 4351578318585633/15541351137805832567355695254588151253139254712417116170014499277911234281641667985408 binary64)) z (*.f64 y x)))
z

soundness1.3s (15.5%)

Memory
2.3MiB live, 526.1MiB allocated
Rules
10 478×accelerator-lowering-fma.f32
10 478×accelerator-lowering-fma.f64
10 080×accelerator-lowering-fma.f32
10 080×accelerator-lowering-fma.f64
8 976×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01121
16921
256821
0815619
071434
1242402
2637402
31630402
44130402
56221402
08322348
01026
16324
259722
0887820
057498
1193442
2559442
31397442
43908442
56245442
08020415
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 139 to 79 computations (43.2% saved)

preprocess49.0ms (0.6%)

Memory
13.6MiB live, 93.3MiB allocated
Compiler

Compiled 146 to 72 computations (50.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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