Diagrams.Color.HSV:lerp from diagrams-contrib-1.3.0.5

Time bar (total: 5.8s)

analyze0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample615.0ms (10.5%)

Memory
0.1MiB live, 1 377.1MiB allocated
Samples
416.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 212.0ms
ival-mult: 107.0ms (50.5% of total)
ival-sub: 53.0ms (25% of total)
ival-add: 37.0ms (17.5% of total)
ival-true: 6.0ms (2.8% of total)
exact: 5.0ms (2.4% of total)
ival-assert: 4.0ms (1.9% of total)
Bogosity

preprocess96.0ms (1.6%)

Memory
-6.1MiB live, 124.1MiB allocated
Algorithm
2×egg-herbie
Rules
608×accelerator-lowering-fma.f32
608×accelerator-lowering-fma.f64
392×distribute-rgt-in
374×unsub-neg
308×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03399
18290
218990
355375
4118471
5197670
6234670
7238670
8239070
9239070
089
1159
2259
3489
41038
51517
62427
73947
85547
96277
106297
06296
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(+ (* (- 1 x) y) (* x z))
Outputs
(+ (* (- 1 x) y) (* x z))
(fma.f64 x (-.f64 z y) y)
Call 2
Inputs
(+ (* (- 1 x) y) (* x z))
(+ (* (- 1 (neg x)) y) (* (neg x) z))
(+ (* (- 1 x) (neg y)) (* x z))
(+ (* (- 1 x) y) (* x (neg z)))
(neg (+ (* (- 1 (neg x)) y) (* (neg x) z)))
(neg (+ (* (- 1 x) (neg y)) (* x z)))
(neg (+ (* (- 1 x) y) (* x (neg z))))
(+ (* (- 1 y) x) (* y z))
(+ (* (- 1 z) y) (* z x))
(+ (* (- 1 x) z) (* x y))
Outputs
(+ (* (- 1 x) y) (* x z))
(+ y (* x (- z y)))
(+ (* (- 1 (neg x)) y) (* (neg x) z))
(+ y (* x (- y z)))
(+ (* (- 1 x) (neg y)) (* x z))
(- (* x (+ y z)) y)
(+ (* (- 1 x) y) (* x (neg z)))
(- y (* x (+ y z)))
(neg (+ (* (- 1 (neg x)) y) (* (neg x) z)))
(- (* x (- z y)) y)
(neg (+ (* (- 1 x) (neg y)) (* x z)))
(- y (* x (+ y z)))
(neg (+ (* (- 1 x) y) (* x (neg z))))
(- (* x (+ y z)) y)
(+ (* (- 1 y) x) (* y z))
(+ x (* y (- z x)))
(+ (* (- 1 z) y) (* z x))
(+ y (* z (- x y)))
(+ (* (- 1 x) z) (* x y))
(+ z (* x (- y z)))

explain79.0ms (1.4%)

Memory
30.9MiB live, 189.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
50-0-(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
00-0-y
00-0-(*.f64 (-.f64 #s(literal 1 binary64) x) y)
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-z
00-0-(*.f64 x z)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))nan-rescue50
↳(*.f64 (-.f64 #s(literal 1 binary64) x) y)overflow34
↳(*.f64 x z)overflow42
Confusion
Predicted +Predicted -
+50
-0251
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+500
-00251
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0251
15
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
31.0ms512×0valid
Compiler

Compiled 76 to 36 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 7.0ms (51.3% of total)
ival-sub: 3.0ms (22% of total)
ival-add: 2.0ms (14.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune2.0ms (0%)

Memory
-37.3MiB live, 1.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.0%
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify32.0ms (0.5%)

Memory
24.0MiB live, 64.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 x z)
✓cost-diff-64
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
✓cost-diff0
(-.f64 #s(literal 1 binary64) x)
✓cost-diff576
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 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
0824
11524
22524
34824
410323
515122
624222
739422
855422
962722
1062922
062921
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* (- 1 x) y) (* x z))
(* (- 1 x) y)
(- 1 x)
1
x
y
(* x z)
z
Outputs
(+ (* (- 1 x) y) (* x z))
(fma.f64 x (-.f64 z y) y)
(* (- 1 x) y)
(fma.f64 (-.f64 #s(literal 1 binary64) x) y #s(literal 0 binary64))
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x
y
(* x z)
(fma.f64 x z #s(literal 0 binary64))
z

localize22.0ms (0.4%)

Memory
6.2MiB live, 45.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
✓accuracy100.0%
(*.f64 x z)
✓accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
✓accuracy98.0%
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
Samples
13.0ms256×0valid
Compiler

Compiled 26 to 10 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (47.8% of total)
ival-sub: 1.0ms (15.9% of total)
ival-add: 1.0ms (15.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
-26.7MiB live, 11.7MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (+ (* (- 1 x) y) (* x z))>
#<alt (- 1 x)>
#<alt (* (- 1 x) y)>
#<alt (* x z)>
Outputs
#<alt y>
#<alt (+ y (* x (+ z (* -1 y))))>
#<alt (+ y (* x (+ z (* -1 y))))>
#<alt (+ y (* x (+ z (* -1 y))))>
#<alt (* x (+ z (* -1 y)))>
#<alt (* x (+ z (+ (* -1 y) (/ y x))))>
#<alt (* x (+ z (+ (* -1 y) (/ y x))))>
#<alt (* x (+ z (+ (* -1 y) (/ y x))))>
#<alt (* -1 (* x (+ y (* -1 z))))>
#<alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))>
#<alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))>
#<alt (* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))>
#<alt (* x z)>
#<alt (+ (* x z) (* y (- 1 x)))>
#<alt (+ (* x z) (* y (- 1 x)))>
#<alt (+ (* x z) (* y (- 1 x)))>
#<alt (* y (- 1 x))>
#<alt (* y (- (+ 1 (/ (* x z) y)) x))>
#<alt (* y (- (+ 1 (/ (* x z) y)) x))>
#<alt (* y (- (+ 1 (/ (* x z) y)) x))>
#<alt (* y (- 1 x))>
#<alt (* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))>
#<alt (* y (- 1 x))>
#<alt (+ (* x z) (* y (- 1 x)))>
#<alt (+ (* x z) (* y (- 1 x)))>
#<alt (+ (* x z) (* y (- 1 x)))>
#<alt (* x z)>
#<alt (* z (+ x (/ (* y (- 1 x)) z)))>
#<alt (* z (+ x (/ (* y (- 1 x)) z)))>
#<alt (* z (+ x (/ (* y (- 1 x)) z)))>
#<alt (* x z)>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt y>
#<alt (+ y (* -1 (* x y)))>
#<alt (+ y (* -1 (* x y)))>
#<alt (+ y (* -1 (* x y)))>
#<alt (* -1 (* x y))>
#<alt (* x (+ (* -1 y) (/ y x)))>
#<alt (* x (+ (* -1 y) (/ y x)))>
#<alt (* x (+ (* -1 y) (/ y x)))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (+ y (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ y (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ y (* -1 (/ y x)))))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* y (- 1 x))>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
Calls

24 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
(* (- 1 x) y)
1.0ms
x
@inf
(+ (* (- 1 x) y) (* x z))
1.0ms
y
@0
(* (- 1 x) y)
0.0ms
y
@0
(+ (* (- 1 x) y) (* x z))
0.0ms
x
@0
(+ (* (- 1 x) y) (* x z))

rewrite530.0ms (9.1%)

Memory
3.6MiB live, 880.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
9 442×accelerator-lowering-fma.f32
9 442×accelerator-lowering-fma.f64
7 738×*-lowering-*.f32
7 738×*-lowering-*.f64
4 066×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0820
14020
230920
3372320
01249619
Stop Event
1×iter limit
1×node limit
Counts
4 → 284
Calls
Call 1
Inputs
(+ (* (- 1 x) y) (* x z))
(- 1 x)
(* (- 1 x) y)
(* x z)
Outputs
(+.f64 y (fma.f64 y (-.f64 #s(literal 0 binary64) x) (*.f64 x z)))
(+.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) (*.f64 x z))
(+.f64 (*.f64 x z) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 #s(literal 1 binary64) x))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x))))))
(+.f64 (fma.f64 x z y) (*.f64 y (-.f64 #s(literal 0 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x z (*.f64 y (+.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 #s(literal 1 binary64) x))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (fma.f64 x z (-.f64 #s(literal 0 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) x))))) (/.f64 (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 #s(literal 1 binary64) x))) (fma.f64 x z (-.f64 #s(literal 0 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 #s(literal 1 binary64) y (fma.f64 y (-.f64 #s(literal 0 binary64) x) (*.f64 x z)))
(fma.f64 #s(literal 1 binary64) (*.f64 x z) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x z (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x (*.f64 #s(literal 1 binary64) z) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x (pow.f64 z #s(literal 1 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x (pow.f64 (*.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 x (exp.f64 (log.f64 z)) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 y #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 0 binary64) x) (*.f64 x z)))
(fma.f64 y (+.f64 #s(literal 1 binary64) x) (*.f64 x z))
(fma.f64 y (/.f64 (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 z x (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 x z) #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) y) (*.f64 x z))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 y (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 x z))
(fma.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) y) (*.f64 x z))
(fma.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) x)) (*.f64 x z))
(fma.f64 (+.f64 #s(literal 1 binary64) x) y (*.f64 x z))
(fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 y (*.f64 y (+.f64 #s(literal 1 binary64) x))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 (*.f64 y y) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 (*.f64 y (*.f64 y (+.f64 #s(literal 1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 (*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x))) (/.f64 y (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 (*.f64 y (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 x z))
(fma.f64 (*.f64 y (fma.f64 x (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) (*.f64 x z))
(fma.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 y y) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x))))))
(fma.f64 (*.f64 z #s(literal 1 binary64)) x (*.f64 y (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 x z (*.f64 y (+.f64 #s(literal 1 binary64) x))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x))))) (fma.f64 x z (*.f64 y (+.f64 #s(literal 1 binary64) x))) (neg.f64 (/.f64 (*.f64 x (*.f64 z (*.f64 x z))) (fma.f64 z (-.f64 #s(literal 0 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) x))))))
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simplify668.0ms (11.4%)

Memory
9.6MiB live, 402.2MiB allocated
Algorithm
1×egg-herbie
Rules
7 472×accelerator-lowering-fma.f32
7 472×accelerator-lowering-fma.f64
2 438×*-lowering-*.f32
2 438×*-lowering-*.f64
1 490×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057471
1192442
2558442
31391442
43878442
56295442
08006415
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
Calls
Call 1
Inputs
y
(+ y (* x (+ z (* -1 y))))
(+ y (* x (+ z (* -1 y))))
(+ y (* x (+ z (* -1 y))))
(* x (+ z (* -1 y)))
(* x (+ z (+ (* -1 y) (/ y x))))
(* x (+ z (+ (* -1 y) (/ y x))))
(* x (+ z (+ (* -1 y) (/ y x))))
(* -1 (* x (+ y (* -1 z))))
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(* x z)
(+ (* x z) (* y (- 1 x)))
(+ (* x z) (* y (- 1 x)))
(+ (* x z) (* y (- 1 x)))
(* y (- 1 x))
(* y (- (+ 1 (/ (* x z) y)) x))
(* y (- (+ 1 (/ (* x z) y)) x))
(* y (- (+ 1 (/ (* x z) y)) x))
(* y (- 1 x))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))
(* y (- 1 x))
(+ (* x z) (* y (- 1 x)))
(+ (* x z) (* y (- 1 x)))
(+ (* x z) (* y (- 1 x)))
(* x z)
(* z (+ x (/ (* y (- 1 x)) z)))
(* z (+ x (/ (* y (- 1 x)) z)))
(* z (+ x (/ (* y (- 1 x)) z)))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
y
(+ y (* -1 (* x y)))
(+ y (* -1 (* x y)))
(+ y (* -1 (* x y)))
(* -1 (* x y))
(* x (+ (* -1 y) (/ y x)))
(* x (+ (* -1 y) (/ y x)))
(* x (+ (* -1 y) (/ y x)))
(* -1 (* x y))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* y (- 1 x))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
Outputs
y
(+ y (* x (+ z (* -1 y))))
(fma.f64 x (-.f64 z y) y)
(+ y (* x (+ z (* -1 y))))
(fma.f64 x (-.f64 z y) y)
(+ y (* x (+ z (* -1 y))))
(fma.f64 x (-.f64 z y) y)
(* x (+ z (* -1 y)))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* x (+ z (+ (* -1 y) (/ y x))))
(fma.f64 x (-.f64 z y) y)
(* x (+ z (+ (* -1 y) (/ y x))))
(fma.f64 x (-.f64 z y) y)
(* x (+ z (+ (* -1 y) (/ y x))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* x (+ y (* -1 z))))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* x (+ y (+ (* -1 z) (* -1 (/ y x))))))
(fma.f64 x (-.f64 z y) y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(+ (* x z) (* y (- 1 x)))
(fma.f64 x (-.f64 z y) y)
(+ (* x z) (* y (- 1 x)))
(fma.f64 x (-.f64 z y) y)
(+ (* x z) (* y (- 1 x)))
(fma.f64 x (-.f64 z y) y)
(* y (- 1 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (- (+ 1 (/ (* x z) y)) x))
(fma.f64 x (-.f64 z y) y)
(* y (- (+ 1 (/ (* x z) y)) x))
(fma.f64 x (-.f64 z y) y)
(* y (- (+ 1 (/ (* x z) y)) x))
(fma.f64 x (-.f64 z y) y)
(* y (- 1 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ (* x z) y)))))
(fma.f64 x (-.f64 z y) y)
(* y (- 1 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(+ (* x z) (* y (- 1 x)))
(fma.f64 x (-.f64 z y) y)
(+ (* x z) (* y (- 1 x)))
(fma.f64 x (-.f64 z y) y)
(+ (* x z) (* y (- 1 x)))
(fma.f64 x (-.f64 z y) y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* z (+ x (/ (* y (- 1 x)) z)))
(fma.f64 x (-.f64 z y) y)
(* z (+ x (/ (* y (- 1 x)) z)))
(fma.f64 x (-.f64 z y) y)
(* z (+ x (/ (* y (- 1 x)) z)))
(fma.f64 x (-.f64 z y) y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* z (+ (* -1 x) (* -1 (/ (* y (- 1 x)) z)))))
(fma.f64 x (-.f64 z y) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
y
(+ y (* -1 (* x y)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(+ y (* -1 (* x y)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(+ y (* -1 (* x y)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64)))
(* x (+ (* -1 y) (/ y x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* x (+ (* -1 y) (/ y x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* x (+ (* -1 y) (/ y x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* -1 (* x y))
(-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64)))
(* -1 (* x (+ y (* -1 (/ y x)))))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* -1 (* x (+ y (* -1 (/ y x)))))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* -1 (* x (+ y (* -1 (/ y x)))))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (- 1 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (- 1 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (- 1 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (- 1 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (- 1 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (- 1 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (- 1 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (- 1 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (- 1 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (- 1 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (- 1 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (- 1 x))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))

eval48.0ms (0.8%)

Memory
0.7MiB live, 117.9MiB allocated
Compiler

Compiled 10 111 to 907 computations (91% saved)

prune42.0ms (0.7%)

Memory
29.6MiB live, 108.0MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New3764380
Fresh000
Picked101
Done000
Total3774381
Accuracy
100.0%
Counts
381 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 x (-.f64 z y) y)
▶44.4%
(fma.f64 x z #s(literal 0 binary64))
▶76.9%
(+.f64 y (*.f64 x z))
▶34.5%
y
Compiler

Compiled 28 to 18 computations (35.7% saved)

simplify33.0ms (0.6%)

Memory
-6.4MiB live, 44.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 z y)
✓cost-diff0
(fma.f64 x (-.f64 z y) y)
✓cost-diff0
(fma.f64 x z #s(literal 0 binary64))
✓cost-diff-64
(*.f64 x z)
✓cost-diff192
(+.f64 y (*.f64 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
01031
11731
23231
35831
412631
519831
629031
742831
863731
971931
1073931
073929
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
y
(+ y (* x z))
y
(* x z)
x
z
(+ (* x z) 0)
x
z
0
(+ (* x (- z y)) y)
x
(- z y)
z
y
Outputs
y
(+ y (* x z))
(fma.f64 x z y)
y
(* x z)
(fma.f64 x z #s(literal 0 binary64))
x
z
(+ (* x z) 0)
(fma.f64 x z #s(literal 0 binary64))
x
z
0
#s(literal 0 binary64)
(+ (* x (- z y)) y)
(fma.f64 x (-.f64 z y) y)
x
(- z y)
(-.f64 z y)
z
y

localize32.0ms (0.5%)

Memory
-12.9MiB live, 65.0MiB allocated
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 x (-.f64 z y) y)
✓accuracy100.0%
(-.f64 z y)
✓accuracy100.0%
(fma.f64 x z #s(literal 0 binary64))
✓accuracy100.0%
(*.f64 x z)
✓accuracy100.0%
(+.f64 y (*.f64 x z))
Samples
19.0ms256×0valid
Compiler

Compiled 33 to 12 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-add: 3.0ms (35.7% of total)
ival-mult: 3.0ms (35.7% of total)
ival-sub: 1.0ms (11.9% 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 (+ y (* x z))>
#<alt (* x z)>
#<alt (+ (* x z) 0)>
#<alt (+ (* x (- z y)) y)>
#<alt (- z y)>
Outputs
#<alt (* x z)>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt y>
#<alt (* y (+ 1 (/ (* x z) y)))>
#<alt (* y (+ 1 (/ (* x z) y)))>
#<alt (* y (+ 1 (/ (* x z) y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (* x z) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (* x z) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (* x z) y)) 1)))>
#<alt y>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt (* x z)>
#<alt (* x (+ z (/ y x)))>
#<alt (* x (+ z (/ y x)))>
#<alt (* x (+ z (/ y x)))>
#<alt (* x z)>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))>
#<alt y>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt (* x z)>
#<alt (* z (+ x (/ y z)))>
#<alt (* z (+ x (/ y z)))>
#<alt (* z (+ x (/ y z)))>
#<alt (* x z)>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt y>
#<alt (+ y (* x (- z y)))>
#<alt (+ y (* x (- z y)))>
#<alt (+ y (* x (- z y)))>
#<alt (* x (- z y))>
#<alt (* x (- (+ z (/ y x)) y))>
#<alt (* x (- (+ z (/ y x)) y))>
#<alt (* x (- (+ z (/ y x)) y))>
#<alt (* x (- z y))>
#<alt (* -1 (* x (+ (* -1 (- z y)) (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 (- z y)) (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 (- z y)) (* -1 (/ y x)))))>
#<alt (+ y (* -1 (* x y)))>
#<alt (+ y (+ (* -1 (* x y)) (* x z)))>
#<alt (+ y (+ (* -1 (* x y)) (* x z)))>
#<alt (+ y (+ (* -1 (* x y)) (* x z)))>
#<alt (* x z)>
#<alt (* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))>
#<alt (* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))>
#<alt (* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))>
#<alt (* x z)>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))>
#<alt (* x z)>
#<alt (+ (* x z) (* y (+ 1 (* -1 x))))>
#<alt (+ (* x z) (* y (+ 1 (* -1 x))))>
#<alt (+ (* x z) (* y (+ 1 (* -1 x))))>
#<alt (* y (+ 1 (* -1 x)))>
#<alt (* y (+ 1 (+ (* -1 x) (/ (* x z) y))))>
#<alt (* y (+ 1 (+ (* -1 x) (/ (* x z) y))))>
#<alt (* y (+ 1 (+ (* -1 x) (/ (* x z) y))))>
#<alt (* -1 (* y (- x 1)))>
#<alt (* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))>
#<alt (* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))>
#<alt (* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))>
#<alt (* -1 y)>
#<alt (- z y)>
#<alt (- z y)>
#<alt (- z y)>
#<alt z>
#<alt (* z (+ 1 (* -1 (/ y z))))>
#<alt (* z (+ 1 (* -1 (/ y z))))>
#<alt (* z (+ 1 (* -1 (/ y z))))>
#<alt z>
#<alt (* -1 (* z (- (/ y z) 1)))>
#<alt (* -1 (* z (- (/ y z) 1)))>
#<alt (* -1 (* z (- (/ y z) 1)))>
#<alt z>
#<alt (+ z (* -1 y))>
#<alt (+ z (* -1 y))>
#<alt (+ z (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ z y) 1))>
#<alt (* y (- (/ z y) 1))>
#<alt (* y (- (/ z y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ z y)))))>
Calls

36 calls:

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

rewrite627.0ms (10.7%)

Memory
-4.8MiB live, 867.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
9 724×accelerator-lowering-fma.f32
9 724×accelerator-lowering-fma.f64
4 612×*-lowering-*.f32
4 612×*-lowering-*.f64
3 516×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
16021
257921
0813719
Stop Event
1×iter limit
1×node limit
Counts
5 → 932
Calls
Call 1
Inputs
(+ y (* x z))
(* x z)
(+ (* x z) 0)
(+ (* x (- z y)) y)
(- z y)
Outputs
(+.f64 y (fma.f64 x z #s(literal 0 binary64)))
(+.f64 (fma.f64 x z #s(literal 0 binary64)) y)
(+.f64 (fma.f64 x z y) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.f64 x z y))
(+.f64 (/.f64 (*.f64 y y) (-.f64 y (fma.f64 x z #s(literal 0 binary64)))) (neg.f64 (*.f64 (fma.f64 x (*.f64 z z) #s(literal 0 binary64)) (/.f64 x (-.f64 y (fma.f64 x z #s(literal 0 binary64)))))))
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(*.f64 (+.f64 y z) (/.f64 (-.f64 z y) (+.f64 y z)))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 z y) (fma.f64 y (+.f64 y z) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y (+.f64 y z) (*.f64 z z)))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 z y) (+.f64 y z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 y z))))
(*.f64 #s(literal 1 binary64) (-.f64 z y))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y z) (*.f64 z z))) (*.f64 (-.f64 z y) (fma.f64 y (+.f64 y z) (*.f64 z z))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y z)) (*.f64 (-.f64 z y) (+.f64 y z)))
(*.f64 (/.f64 (*.f64 (-.f64 z y) (+.f64 y z)) (*.f64 (-.f64 z y) (+.f64 y z))) (-.f64 z y))
(*.f64 (/.f64 (*.f64 (-.f64 z y) (fma.f64 y (+.f64 y z) (*.f64 z z))) (fma.f64 z (*.f64 (*.f64 z z) (*.f64 z (*.f64 z z))) (*.f64 (*.f64 y (+.f64 y z)) (*.f64 (*.f64 y (+.f64 y z)) (*.f64 y (+.f64 y z)))))) (fma.f64 (*.f64 y (+.f64 y z)) (-.f64 (*.f64 y (+.f64 y z)) (*.f64 z z)) (*.f64 z (*.f64 z (*.f64 z z)))))
(*.f64 (/.f64 (*.f64 (-.f64 z y) (fma.f64 y (+.f64 y z) (*.f64 z z))) (*.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)) (-.f64 (*.f64 z z) (*.f64 y (+.f64 y z))))) (-.f64 (*.f64 z z) (*.f64 y (+.f64 y z))))
(*.f64 (/.f64 (*.f64 (-.f64 z y) (+.f64 y z)) (fma.f64 y (*.f64 y y) (*.f64 z (*.f64 z z)))) (fma.f64 y (-.f64 y z) (*.f64 z z)))

simplify300.0ms (5.1%)

Memory
-17.3MiB live, 477.3MiB allocated
Algorithm
1×egg-herbie
Rules
7 756×accelerator-lowering-fma.f32
7 756×accelerator-lowering-fma.f64
2 716×*-lowering-*.f32
2 716×*-lowering-*.f64
1 830×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081588
1264585
2744585
32018585
44202585
55857585
67196585
08022531
Stop Event
1×iter limit
1×node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* x z)
(+ y (* x z))
(+ y (* x z))
(+ y (* x z))
y
(* y (+ 1 (/ (* x z) y)))
(* y (+ 1 (/ (* x z) y)))
(* y (+ 1 (/ (* x z) y)))
y
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
y
(+ y (* x z))
(+ y (* x z))
(+ y (* x z))
(* x z)
(* x (+ z (/ y x)))
(* x (+ z (/ y x)))
(* x (+ z (/ y x)))
(* x z)
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
y
(+ y (* x z))
(+ y (* x z))
(+ y (* x z))
(* x z)
(* z (+ x (/ y z)))
(* z (+ x (/ y z)))
(* z (+ x (/ y z)))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
y
(+ y (* x (- z y)))
(+ y (* x (- z y)))
(+ y (* x (- z y)))
(* x (- z y))
(* x (- (+ z (/ y x)) y))
(* x (- (+ z (/ y x)) y))
(* x (- (+ z (/ y x)) y))
(* x (- z y))
(* -1 (* x (+ (* -1 (- z y)) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 (- z y)) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 (- z y)) (* -1 (/ y x)))))
(+ y (* -1 (* x y)))
(+ y (+ (* -1 (* x y)) (* x z)))
(+ y (+ (* -1 (* x y)) (* x z)))
(+ y (+ (* -1 (* x y)) (* x z)))
(* x z)
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))
(* x z)
(+ (* x z) (* y (+ 1 (* -1 x))))
(+ (* x z) (* y (+ 1 (* -1 x))))
(+ (* x z) (* y (+ 1 (* -1 x))))
(* y (+ 1 (* -1 x)))
(* y (+ 1 (+ (* -1 x) (/ (* x z) y))))
(* y (+ 1 (+ (* -1 x) (/ (* x z) y))))
(* y (+ 1 (+ (* -1 x) (/ (* x z) y))))
(* -1 (* y (- x 1)))
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))
(* -1 y)
(- z y)
(- z y)
(- z y)
z
(* z (+ 1 (* -1 (/ y z))))
(* z (+ 1 (* -1 (/ y z))))
(* z (+ 1 (* -1 (/ y z))))
z
(* -1 (* z (- (/ y z) 1)))
(* -1 (* z (- (/ y z) 1)))
(* -1 (* z (- (/ y z) 1)))
z
(+ z (* -1 y))
(+ z (* -1 y))
(+ z (* -1 y))
(* -1 y)
(* y (- (/ z y) 1))
(* y (- (/ z y) 1))
(* y (- (/ z y) 1))
(* -1 y)
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(* -1 (* y (+ 1 (* -1 (/ z y)))))
Outputs
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(+ y (* x z))
(fma.f64 x z y)
(+ y (* x z))
(fma.f64 x z y)
(+ y (* x z))
(fma.f64 x z y)
y
(* y (+ 1 (/ (* x z) y)))
(fma.f64 x z y)
(* y (+ 1 (/ (* x z) y)))
(fma.f64 x z y)
(* y (+ 1 (/ (* x z) y)))
(fma.f64 x z y)
y
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(fma.f64 x z y)
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(fma.f64 x z y)
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(fma.f64 x z y)
y
(+ y (* x z))
(fma.f64 x z y)
(+ y (* x z))
(fma.f64 x z y)
(+ y (* x z))
(fma.f64 x z y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x (+ z (/ y x)))
(fma.f64 x z y)
(* x (+ z (/ y x)))
(fma.f64 x z y)
(* x (+ z (/ y x)))
(fma.f64 x z y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(fma.f64 x z y)
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(fma.f64 x z y)
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(fma.f64 x z y)
y
(+ y (* x z))
(fma.f64 x z y)
(+ y (* x z))
(fma.f64 x z y)
(+ y (* x z))
(fma.f64 x z y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* z (+ x (/ y z)))
(fma.f64 x z y)
(* z (+ x (/ y z)))
(fma.f64 x z y)
(* z (+ x (/ y z)))
(fma.f64 x z y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(fma.f64 x z y)
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(fma.f64 x z y)
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(fma.f64 x z y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
y
(+ y (* x (- z y)))
(fma.f64 x (-.f64 z y) y)
(+ y (* x (- z y)))
(fma.f64 x (-.f64 z y) y)
(+ y (* x (- z y)))
(fma.f64 x (-.f64 z y) y)
(* x (- z y))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* x (- (+ z (/ y x)) y))
(fma.f64 x (-.f64 z y) y)
(* x (- (+ z (/ y x)) y))
(fma.f64 x (-.f64 z y) y)
(* x (- (+ z (/ y x)) y))
(fma.f64 x (-.f64 z y) y)
(* x (- z y))
(fma.f64 x (-.f64 z y) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 (- z y)) (* -1 (/ y x)))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* x (+ (* -1 (- z y)) (* -1 (/ y x)))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* x (+ (* -1 (- z y)) (* -1 (/ y x)))))
(fma.f64 x (-.f64 z y) y)
(+ y (* -1 (* x y)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(+ y (+ (* -1 (* x y)) (* x z)))
(fma.f64 x (-.f64 z y) y)
(+ y (+ (* -1 (* x y)) (* x z)))
(fma.f64 x (-.f64 z y) y)
(+ y (+ (* -1 (* x y)) (* x z)))
(fma.f64 x (-.f64 z y) y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))
(fma.f64 x (-.f64 z y) y)
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))
(fma.f64 x (-.f64 z y) y)
(* z (+ x (+ (* -1 (/ (* x y) z)) (/ y z))))
(fma.f64 x (-.f64 z y) y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* z (+ (* -1 x) (* -1 (/ (+ y (* -1 (* x y))) z)))))
(fma.f64 x (-.f64 z y) y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(+ (* x z) (* y (+ 1 (* -1 x))))
(fma.f64 x (-.f64 z y) y)
(+ (* x z) (* y (+ 1 (* -1 x))))
(fma.f64 x (-.f64 z y) y)
(+ (* x z) (* y (+ 1 (* -1 x))))
(fma.f64 x (-.f64 z y) y)
(* y (+ 1 (* -1 x)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* y (+ 1 (+ (* -1 x) (/ (* x z) y))))
(fma.f64 x (-.f64 z y) y)
(* y (+ 1 (+ (* -1 x) (/ (* x z) y))))
(fma.f64 x (-.f64 z y) y)
(* y (+ 1 (+ (* -1 x) (/ (* x z) y))))
(fma.f64 x (-.f64 z y) y)
(* -1 (* y (- x 1)))
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))
(fma.f64 x (-.f64 z y) y)
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))
(fma.f64 x (-.f64 z y) y)
(* -1 (* y (- (+ x (* -1 (/ (* x z) y))) 1)))
(fma.f64 x (-.f64 z y) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- z y)
(-.f64 z y)
(- z y)
(-.f64 z y)
(- z y)
(-.f64 z y)
z
(* z (+ 1 (* -1 (/ y z))))
(-.f64 z y)
(* z (+ 1 (* -1 (/ y z))))
(-.f64 z y)
(* z (+ 1 (* -1 (/ y z))))
(-.f64 z y)
z
(* -1 (* z (- (/ y z) 1)))
(-.f64 z y)
(* -1 (* z (- (/ y z) 1)))
(-.f64 z y)
(* -1 (* z (- (/ y z) 1)))
(-.f64 z y)
z
(+ z (* -1 y))
(-.f64 z y)
(+ z (* -1 y))
(-.f64 z y)
(+ z (* -1 y))
(-.f64 z y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ z y) 1))
(-.f64 z y)
(* y (- (/ z y) 1))
(-.f64 z y)
(* y (- (/ z y) 1))
(-.f64 z y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(-.f64 z y)
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(-.f64 z y)
(* -1 (* y (+ 1 (* -1 (/ z y)))))
(-.f64 z y)

eval130.0ms (2.2%)

Memory
16.3MiB live, 278.9MiB allocated
Compiler

Compiled 26 558 to 1 530 computations (94.2% saved)

prune145.0ms (2.5%)

Memory
11.3MiB live, 335.9MiB allocated
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1 07421 076
Fresh000
Picked224
Done000
Total1 07641 080
Accuracy
100.0%
Counts
1 080 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶77.0%
(fma.f64 z x y)
✓100.0%
(fma.f64 x (-.f64 z y) y)
▶44.4%
(*.f64 z x)
✓34.5%
y
Compiler

Compiled 26 to 16 computations (38.5% saved)

simplify4.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(fma.f64 z x y)
✓cost-diff0
(*.f64 z x)
Rules
4×+-lowering-+.f64
4×*-lowering-*.f32
4×*-lowering-*.f64
4×+-lowering-+.f32
4×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0513
1713
0712
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* z x)
z
x
(+ (* z x) y)
z
x
y
Outputs
(* z x)
(*.f64 z x)
z
x
(+ (* z x) y)
(fma.f64 z x y)
z
x
y

localize18.0ms (0.3%)

Memory
-1.9MiB live, 40.0MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 z x y)
✓accuracy100.0%
(*.f64 z x)
Samples
12.0ms256×0valid
Compiler

Compiled 14 to 7 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-mult: 2.0ms (61.2% of total)
ival-add: 1.0ms (30.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Counts
2 → 60
Calls
Call 1
Inputs
#<alt (* z x)>
#<alt (+ (* z x) y)>
Outputs
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt y>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt (* x z)>
#<alt (* z (+ x (/ y z)))>
#<alt (* z (+ x (/ y z)))>
#<alt (* z (+ x (/ y z)))>
#<alt (* x z)>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))>
#<alt y>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt (* x z)>
#<alt (* x (+ z (/ y x)))>
#<alt (* x (+ z (/ y x)))>
#<alt (* x (+ z (/ y x)))>
#<alt (* x z)>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))>
#<alt (* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))>
#<alt (* x z)>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt (+ y (* x z))>
#<alt y>
#<alt (* y (+ 1 (/ (* x z) y)))>
#<alt (* y (+ 1 (/ (* x z) y)))>
#<alt (* y (+ 1 (/ (* x z) y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (* x z) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (* x z) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (* x z) y)) 1)))>
Calls

15 calls:

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

rewrite757.0ms (13%)

Memory
11.4MiB live, 750.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
18 338×accelerator-lowering-fma.f32
18 338×accelerator-lowering-fma.f64
4 372×*-lowering-*.f32
4 372×*-lowering-*.f64
3 924×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
1208
21508
314888
083077
Stop Event
1×iter limit
1×node limit
Counts
2 → 221
Calls
Call 1
Inputs
(* z x)
(+ (* z x) y)
Outputs
(exp.f64 (log.f64 (*.f64 z x)))
(exp.f64 (*.f64 (log.f64 (*.f64 z x)) #s(literal 1 binary64)))
(pow.f64 (*.f64 z x) #s(literal 1 binary64))
(*.f64 z x)
(*.f64 x z)
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 z)))
(*.f64 (pow.f64 (*.f64 z x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 z x) #s(literal 1/2 binary64)))
(+.f64 (*.f64 z x) y)
(+.f64 (*.f64 z x) (*.f64 #s(literal 1 binary64) y))
(+.f64 y (*.f64 z x))
(+.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y)) (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 y (-.f64 (*.f64 z x) y)))))
(+.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y)) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (-.f64 (*.f64 z x) y))))
(+.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z x) y))))
(+.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y)) (*.f64 (neg.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 z x y) (-.f64 (*.f64 z x) y)))) (fma.f64 z x y)))
(+.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y)) (*.f64 (neg.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z x))) (*.f64 y (*.f64 y y))))) (fma.f64 z (*.f64 z (*.f64 x x)) (*.f64 y (fma.f64 z x y)))))
(+.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 z x))) (neg.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 y (*.f64 z x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z x y))) #s(literal -1 binary64)))
(-.f64 (*.f64 z x) (-.f64 #s(literal 0 binary64) y))
(-.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y)) (*.f64 y (/.f64 y (-.f64 (*.f64 z x) y))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 z x y)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 z x))) (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 y (*.f64 z x))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 z (-.f64 #s(literal 0 binary64) x) y)) (-.f64 #s(literal 0 binary64) (fma.f64 z x y)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z x))) (*.f64 z (*.f64 z (*.f64 x x))))) (-.f64 (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z x))) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) y) (*.f64 y y))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (-.f64 (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z x))) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) y) (*.f64 y y))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z x))) (*.f64 z (*.f64 z (*.f64 x x))))) (fma.f64 z (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z (*.f64 x x)))) (*.f64 (*.f64 y y) (fma.f64 z (*.f64 z (*.f64 x x)) (*.f64 y y))))) (-.f64 (*.f64 z x) y)) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (fma.f64 z (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z (*.f64 x x)))) (*.f64 (*.f64 y y) (fma.f64 z (*.f64 z (*.f64 x x)) (*.f64 y y))))) (-.f64 (*.f64 z x) y)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z x)))) (fma.f64 z (*.f64 z (*.f64 x x)) (*.f64 y y))) (-.f64 (*.f64 z x) y)) (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 z (*.f64 z (*.f64 x x)) (*.f64 y y))) (-.f64 (*.f64 z x) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) y) (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (fma.f64 z x y)))
(-.f64 (/.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z x))) (*.f64 z (*.f64 z (*.f64 x x))))) (*.f64 (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) y) (*.f64 y y)) (-.f64 (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z x))) (*.f64 y (*.f64 y y))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) y) (*.f64 y y)) (-.f64 (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z x))) (*.f64 y (*.f64 y y))))))
(-.f64 (/.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z x))) (*.f64 z (*.f64 z (*.f64 x x))))) (*.f64 (-.f64 (*.f64 z x) y) (fma.f64 z (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z (*.f64 x x)))) (*.f64 (*.f64 y y) (fma.f64 z (*.f64 z (*.f64 x x)) (*.f64 y y)))))) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 (*.f64 z x) y) (fma.f64 z (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z (*.f64 x x)))) (*.f64 (*.f64 y y) (fma.f64 z (*.f64 z (*.f64 x x)) (*.f64 y y)))))))
(-.f64 (/.f64 (*.f64 (*.f64 z x) (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z x)))) (*.f64 (-.f64 (*.f64 z x) y) (fma.f64 z (*.f64 z (*.f64 x x)) (*.f64 y y)))) (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (-.f64 (*.f64 z x) y) (fma.f64 z (*.f64 z (*.f64 x x)) (*.f64 y y)))))
(-.f64 (/.f64 (*.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y)) (*.f64 (-.f64 (*.f64 z x) y) (-.f64 (*.f64 z x) y))) (/.f64 (*.f64 (-.f64 (*.f64 z x) y) (*.f64 y y)) (*.f64 (-.f64 (*.f64 z x) y) (-.f64 (*.f64 z x) y))))
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y)) (*.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y)) (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y)))) (fma.f64 (*.f64 z (*.f64 z (*.f64 x x))) (*.f64 (/.f64 (*.f64 z x) (-.f64 (*.f64 z x) y)) (/.f64 (*.f64 z x) (-.f64 (*.f64 z x) y))) (fma.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 z x) y))) (*.f64 y (/.f64 y (-.f64 (*.f64 z x) y))) (*.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y)) (*.f64 y (/.f64 y (-.f64 (*.f64 z x) y))))))) (/.f64 (*.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 z x) y))) (*.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 z x) y))) (*.f64 y (/.f64 y (-.f64 (*.f64 z x) y))))) (fma.f64 (*.f64 z (*.f64 z (*.f64 x x))) (*.f64 (/.f64 (*.f64 z x) (-.f64 (*.f64 z x) y)) (/.f64 (*.f64 z x) (-.f64 (*.f64 z x) y))) (fma.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 z x) y))) (*.f64 y (/.f64 y (-.f64 (*.f64 z x) y))) (*.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y)) (*.f64 y (/.f64 y (-.f64 (*.f64 z x) y))))))))
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y)) (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y))) (fma.f64 (*.f64 z x) (/.f64 (*.f64 z x) (-.f64 (*.f64 z x) y)) (*.f64 y (/.f64 y (-.f64 (*.f64 z x) y))))) (/.f64 (*.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 z x) y))) (*.f64 y (/.f64 y (-.f64 (*.f64 z x) y)))) (fma.f64 (*.f64 z x) (/.f64 (*.f64 z x) (-.f64 (*.f64 z x) y)) (*.f64 y (/.f64 y (-.f64 (*.f64 z x) y))))))
(fma.f64 z x y)
(fma.f64 z x (*.f64 #s(literal 1 binary64) y))
(fma.f64 z (/.f64 (*.f64 z (*.f64 x x)) (-.f64 (*.f64 z x) y)) (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 y (-.f64 (*.f64 z x) y)))))
(fma.f64 z (/.f64 (*.f64 z (*.f64 x x)) (-.f64 (*.f64 z x) y)) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (-.f64 (*.f64 z x) y))))
(fma.f64 z (/.f64 (*.f64 z (*.f64 x x)) (-.f64 (*.f64 z x) y)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z x) y))))
(fma.f64 z (/.f64 (*.f64 z (*.f64 x x)) (-.f64 (*.f64 z x) y)) (*.f64 (neg.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 z x y) (-.f64 (*.f64 z x) y)))) (fma.f64 z x y)))
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(fma.f64 x z y)
(fma.f64 x z (*.f64 #s(literal 1 binary64) y))
(fma.f64 x (/.f64 (*.f64 z (*.f64 z x)) (-.f64 (*.f64 z x) y)) (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 y (-.f64 (*.f64 z x) y)))))
(fma.f64 x (/.f64 (*.f64 z (*.f64 z x)) (-.f64 (*.f64 z x) y)) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (-.f64 (*.f64 z x) y))))
(fma.f64 x (/.f64 (*.f64 z (*.f64 z x)) (-.f64 (*.f64 z x) y)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z x) y))))
(fma.f64 x (/.f64 (*.f64 z (*.f64 z x)) (-.f64 (*.f64 z x) y)) (*.f64 (neg.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 z x y) (-.f64 (*.f64 z x) y)))) (fma.f64 z x y)))
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(fma.f64 (*.f64 z x) (/.f64 (*.f64 z x) (-.f64 (*.f64 z x) y)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z x) y))))
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(fma.f64 (*.f64 z (*.f64 x x)) (/.f64 z (-.f64 (*.f64 z x) y)) (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 y (-.f64 (*.f64 z x) y)))))
(fma.f64 (*.f64 z (*.f64 x x)) (/.f64 z (-.f64 (*.f64 z x) y)) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (-.f64 (*.f64 z x) y))))
(fma.f64 (*.f64 z (*.f64 x x)) (/.f64 z (-.f64 (*.f64 z x) y)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z x) y))))
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(fma.f64 (*.f64 z (*.f64 z x)) (/.f64 x (-.f64 (*.f64 z x) y)) (-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 y (-.f64 (*.f64 z x) y)))))
(fma.f64 (*.f64 z (*.f64 z x)) (/.f64 x (-.f64 (*.f64 z x) y)) (*.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 y (-.f64 (*.f64 z x) y))))
(fma.f64 (*.f64 z (*.f64 z x)) (/.f64 x (-.f64 (*.f64 z x) y)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z x) y))))
(fma.f64 (*.f64 z (*.f64 z x)) (/.f64 x (-.f64 (*.f64 z x) y)) (*.f64 (neg.f64 (/.f64 (*.f64 y y) (*.f64 (fma.f64 z x y) (-.f64 (*.f64 z x) y)))) (fma.f64 z x y)))
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(*.f64 (fma.f64 (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z x))) (*.f64 (*.f64 z x) (*.f64 (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z x))) (*.f64 z (*.f64 z (*.f64 x x))))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z x) (*.f64 (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z x))) (*.f64 z (*.f64 z (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z x)))))) (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) y) (*.f64 y y)))))
(*.f64 #s(literal 1 binary64) (fma.f64 z x y))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) y) (*.f64 y y))) (*.f64 (fma.f64 z x y) (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) y) (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 z x) y)) (*.f64 (fma.f64 z x y) (-.f64 (*.f64 z x) y)))
(*.f64 (*.f64 (*.f64 (fma.f64 z x y) (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) y) (*.f64 y y))) (-.f64 (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z x))) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) y) (*.f64 y y)) (-.f64 (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z x))) (*.f64 y (*.f64 y y))))))
(*.f64 (*.f64 (*.f64 (fma.f64 z x y) (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) y) (*.f64 y y))) (-.f64 (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z x))) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 z x) y) (fma.f64 z (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z (*.f64 x x)))) (*.f64 (*.f64 y y) (fma.f64 z (*.f64 z (*.f64 x x)) (*.f64 y y)))))))
(*.f64 (*.f64 (*.f64 (fma.f64 z x y) (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) y) (*.f64 y y))) (-.f64 (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z x))) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z x))) (*.f64 y (*.f64 y y))) (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) y) (*.f64 y y)))))
(*.f64 (*.f64 (*.f64 (fma.f64 z x y) (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) y) (*.f64 y y))) (-.f64 (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z x))) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z (*.f64 x x)))) (*.f64 (*.f64 y y) (fma.f64 z (*.f64 z (*.f64 x x)) (*.f64 y y)))) (-.f64 (*.f64 z x) y))))
(*.f64 (*.f64 (fma.f64 z x y) (-.f64 y (*.f64 z x))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 z x))))
(*.f64 (*.f64 (*.f64 (fma.f64 z x y) (-.f64 (*.f64 z x) y)) (fma.f64 z (*.f64 z (*.f64 x x)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 z x) y) (fma.f64 z (*.f64 z (*.f64 x x)) (*.f64 y y)))))
(*.f64 (*.f64 (*.f64 (fma.f64 z x y) (-.f64 (*.f64 z x) y)) (fma.f64 z (*.f64 z (*.f64 x x)) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z (*.f64 z (*.f64 x x)) (*.f64 y y)) (-.f64 (*.f64 z x) y))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 z x y)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z x y)))))
(*.f64 (fma.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y) (*.f64 (fma.f64 z (-.f64 #s(literal 0 binary64) x) y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 z x) y) (-.f64 (*.f64 z x) y))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 z x y) (-.f64 y (*.f64 z x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 y (*.f64 z x)))))
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y)) (*.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y)) (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y)))) (*.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 z x) y))) (*.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 z x) y))) (*.f64 y (/.f64 y (-.f64 (*.f64 z x) y)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z (*.f64 z (*.f64 x x))) (*.f64 (/.f64 (*.f64 z x) (-.f64 (*.f64 z x) y)) (/.f64 (*.f64 z x) (-.f64 (*.f64 z x) y))) (fma.f64 (*.f64 y (/.f64 y (-.f64 (*.f64 z x) y))) (*.f64 y (/.f64 y (-.f64 (*.f64 z x) y))) (*.f64 (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (-.f64 (*.f64 z x) y)) (*.f64 y (/.f64 y (-.f64 (*.f64 z x) y))))))))
(*.f64 (*.f64 (fma.f64 (*.f64 z x) (/.f64 (*.f64 z x) (-.f64 (*.f64 z x) y)) (*.f64 y (/.f64 y (-.f64 (*.f64 z x) y)))) (fma.f64 z x y)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) (/.f64 (*.f64 z x) (-.f64 (*.f64 z x) y)) (*.f64 y (/.f64 y (-.f64 (*.f64 z x) y))))))
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z x))) (*.f64 (*.f64 z x) (*.f64 (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z x))) (*.f64 z (*.f64 z (*.f64 x x))))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 z x) (*.f64 (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z x))) (*.f64 z (*.f64 z (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z x))))))))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 z x y) (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) y) (*.f64 y y))) (-.f64 (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z x))) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z x))) (*.f64 y (*.f64 y y)))))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 z x y) (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) y) (*.f64 y y))) (-.f64 (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z x))) (*.f64 y (*.f64 y y)))) (-.f64 (*.f64 z x) y)) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z (*.f64 x x)))) (*.f64 (*.f64 y y) (fma.f64 z (*.f64 z (*.f64 x x)) (*.f64 y y))))))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 z x y) (-.f64 (*.f64 z x) y)) (fma.f64 z (*.f64 z (*.f64 x x)) (*.f64 y y))) (-.f64 (*.f64 z x) y)) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z (*.f64 x x)) (*.f64 y y))))
(*.f64 (/.f64 (*.f64 (fma.f64 z x y) (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) y) (*.f64 y y))) (fma.f64 (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z x))) (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z x))) (*.f64 (*.f64 y (-.f64 y (*.f64 z x))) (*.f64 (*.f64 y (-.f64 y (*.f64 z x))) (*.f64 y (-.f64 y (*.f64 z x))))))) (fma.f64 z (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z (*.f64 x x)))) (*.f64 (*.f64 y (-.f64 y (*.f64 z x))) (-.f64 (*.f64 y (-.f64 y (*.f64 z x))) (*.f64 z (*.f64 z (*.f64 x x)))))))
(*.f64 (/.f64 (*.f64 (fma.f64 z x y) (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) y) (*.f64 y y))) (*.f64 (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) y) (*.f64 y y)) (fma.f64 (fma.f64 z x y) (-.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y)))) (fma.f64 (fma.f64 z x y) (-.f64 (*.f64 z x) y) (*.f64 (*.f64 z x) y)))
(*.f64 (/.f64 (*.f64 (fma.f64 z x y) (-.f64 (*.f64 z x) y)) (-.f64 (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z x))) (*.f64 y (*.f64 y y)))) (fma.f64 z (*.f64 z (*.f64 x x)) (*.f64 y (fma.f64 z x y))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) y) (*.f64 y y)) (fma.f64 (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z x))) (*.f64 (*.f64 z x) (*.f64 (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z x))) (*.f64 z (*.f64 z (*.f64 x x))))) (*.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 z x) (*.f64 (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z x))) (*.f64 z (*.f64 z (*.f64 x x)))) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z x))))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) y) (*.f64 y y)) (*.f64 (*.f64 (fma.f64 z x y) (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) y) (*.f64 y y))) (-.f64 (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z x))) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z x))) (*.f64 y (*.f64 y y)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 z x) y) (*.f64 (*.f64 (fma.f64 z x y) (fma.f64 (*.f64 z x) (-.f64 (*.f64 z x) y) (*.f64 y y))) (-.f64 (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z x))) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (*.f64 z (*.f64 x x)) (*.f64 z (*.f64 z (*.f64 x x)))) (*.f64 (*.f64 y y) (fma.f64 z (*.f64 z (*.f64 x x)) (*.f64 y y))))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 z x) y) (*.f64 (*.f64 (fma.f64 z x y) (-.f64 (*.f64 z x) y)) (fma.f64 z (*.f64 z (*.f64 x x)) (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 z (*.f64 x x)) (*.f64 y y))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z x y)) #s(literal -1/2 binary64)))

simplify684.0ms (11.7%)

Memory
-43.3MiB live, 982.0MiB allocated
Algorithm
1×egg-herbie
Rules
29 414×accelerator-lowering-fma.f32
29 414×accelerator-lowering-fma.f64
3 816×+-lowering-+.f64
3 816×+-lowering-+.f32
2 880×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030226
1103226
2284226
3738226
42050226
53217226
64792226
75788226
86461226
96720226
08734199
Stop Event
1×iter limit
1×node limit
Counts
60 → 60
Calls
Call 1
Inputs
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
y
(+ y (* x z))
(+ y (* x z))
(+ y (* x z))
(* x z)
(* z (+ x (/ y z)))
(* z (+ x (/ y z)))
(* z (+ x (/ y z)))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
y
(+ y (* x z))
(+ y (* x z))
(+ y (* x z))
(* x z)
(* x (+ z (/ y x)))
(* x (+ z (/ y x)))
(* x (+ z (/ y x)))
(* x z)
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(* x z)
(+ y (* x z))
(+ y (* x z))
(+ y (* x z))
y
(* y (+ 1 (/ (* x z) y)))
(* y (+ 1 (/ (* x z) y)))
(* y (+ 1 (/ (* x z) y)))
y
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
Outputs
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
y
(+ y (* x z))
(fma.f64 x z y)
(+ y (* x z))
(fma.f64 x z y)
(+ y (* x z))
(fma.f64 x z y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* z (+ x (/ y z)))
(fma.f64 x z y)
(* z (+ x (/ y z)))
(fma.f64 x z y)
(* z (+ x (/ y z)))
(fma.f64 x z y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(fma.f64 x z y)
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(fma.f64 x z y)
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(fma.f64 x z y)
y
(+ y (* x z))
(fma.f64 x z y)
(+ y (* x z))
(fma.f64 x z y)
(+ y (* x z))
(fma.f64 x z y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x (+ z (/ y x)))
(fma.f64 x z y)
(* x (+ z (/ y x)))
(fma.f64 x z y)
(* x (+ z (/ y x)))
(fma.f64 x z y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(fma.f64 x z y)
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(fma.f64 x z y)
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(fma.f64 x z y)
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(+ y (* x z))
(fma.f64 x z y)
(+ y (* x z))
(fma.f64 x z y)
(+ y (* x z))
(fma.f64 x z y)
y
(* y (+ 1 (/ (* x z) y)))
(fma.f64 x z y)
(* y (+ 1 (/ (* x z) y)))
(fma.f64 x z y)
(* y (+ 1 (/ (* x z) y)))
(fma.f64 x z y)
y
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(fma.f64 x z y)
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(fma.f64 x z y)
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(fma.f64 x z y)

eval31.0ms (0.5%)

Memory
1.1MiB live, 76.0MiB allocated
Compiler

Compiled 10 007 to 513 computations (94.9% saved)

prune35.0ms (0.6%)

Memory
30.0MiB live, 69.4MiB allocated
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2810281
Fresh000
Picked022
Done022
Total2814285
Accuracy
100.0%
Counts
285 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓77.0%
(fma.f64 z x y)
✓100.0%
(fma.f64 x (-.f64 z y) y)
✓44.4%
(*.f64 z x)
✓34.5%
y
Compiler

Compiled 61 to 31 computations (49.2% saved)

regimes14.0ms (0.2%)

Memory
-18.6MiB live, 24.1MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
y
(*.f64 z x)
(fma.f64 x z #s(literal 0 binary64))
(fma.f64 z x y)
(+.f64 y (*.f64 x z))
(fma.f64 x (-.f64 z y) y)
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
Outputs
(fma.f64 x (-.f64 z y) y)
Calls

4 calls:

5.0ms
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
3.0ms
z
3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes11.0ms (0.2%)

Memory
-18.1MiB live, 21.2MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
y
(*.f64 z x)
(fma.f64 x z #s(literal 0 binary64))
(fma.f64 z x y)
(+.f64 y (*.f64 x z))
Outputs
(fma.f64 z x y)
Calls

4 calls:

2.0ms
y
2.0ms
z
2.0ms
x
2.0ms
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
Results
AccuracySegmentsBranch
77.0%1x
77.0%1y
77.0%1z
77.0%1(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes8.0ms (0.1%)

Memory
18.2MiB live, 18.2MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
y
(*.f64 z x)
(fma.f64 x z #s(literal 0 binary64))
Outputs
(*.f64 z x)
y
(*.f64 z x)
Calls

4 calls:

2.0ms
y
2.0ms
z
2.0ms
x
2.0ms
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
Results
AccuracySegmentsBranch
56.6%3y
65.8%3x
52.9%3(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
61.3%3z
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes6.0ms (0.1%)

Memory
13.7MiB live, 13.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
1.0ms
y
1.0ms
x
1.0ms
z
Results
AccuracySegmentsBranch
34.5%1(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 x z))
34.5%1y
34.5%1z
34.5%1x
Compiler

Compiled 24 to 17 computations (29.2% saved)

bsearch35.0ms (0.6%)

Memory
-6.5MiB live, 32.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
1.0074577612014158e-18
4.468997762981928e-5
20.0ms
-8.284014496966212e-121
-1.551484228627895e-125
Samples
24.0ms288×0valid
Compiler

Compiled 231 to 176 computations (23.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 14.0ms (81.5% of total)
ival-sub: 2.0ms (11.6% of total)
ival-add: 1.0ms (5.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify21.0ms (0.4%)

Memory
-21.1MiB live, 17.7MiB allocated
Algorithm
1×egg-herbie
Rules
4×*-commutative_binary64
4×+-commutative_binary64
4×sub-neg_binary64
2×neg-sub0_binary64
2×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01324
11924
22424
32624
42724
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 x (-.f64 z y) y)
(fma.f64 z x y)
(if (<=.f64 x #s(literal -3488825876618913/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) (*.f64 z x) (if (<=.f64 x #s(literal 3713820117856141/309485009821345068724781056 binary64)) y (*.f64 z x)))
y
Outputs
(fma.f64 x (-.f64 z y) y)
(fma.f64 z x y)
(if (<=.f64 x #s(literal -3488825876618913/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) (*.f64 z x) (if (<=.f64 x #s(literal 3713820117856141/309485009821345068724781056 binary64)) y (*.f64 z x)))
(if (<=.f64 x #s(literal -3488825876618913/5814709794364855124394590463104036274829130885498544482251921593445114304907183386609528405710108524486100172850129423468276813028917248 binary64)) (*.f64 x z) (if (<=.f64 x #s(literal 3713820117856141/309485009821345068724781056 binary64)) y (*.f64 x z)))
y

soundness686.0ms (11.8%)

Memory
37.9MiB live, 383.1MiB allocated
Rules
9 724×accelerator-lowering-fma.f32
9 724×accelerator-lowering-fma.f64
7 472×accelerator-lowering-fma.f32
7 472×accelerator-lowering-fma.f64
4 612×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01021
16021
257921
0813719
057471
1192442
2558442
31391442
43878442
56295442
08006415
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 68 to 40 computations (41.2% saved)

preprocess119.0ms (2%)

Memory
-11.1MiB live, 101.2MiB allocated
Compiler

Compiled 102 to 54 computations (47.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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