Data.Colour.RGBSpace.HSV:hsv from colour-2.3.3, J

Time bar (total: 10.4s)

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)

sample818.0ms (7.9%)

Memory
4.7MiB live, 1 044.3MiB allocated
Samples
492.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 198.0ms
ival-mult: 105.0ms (52.9% of total)
ival-sub: 82.0ms (41.3% of total)
ival-true: 5.0ms (2.5% of total)
exact: 4.0ms (2% of total)
ival-assert: 3.0ms (1.5% of total)
Bogosity

preprocess232.0ms (2.2%)

Memory
12.2MiB live, 168.7MiB allocated
Algorithm
egg-herbie
Rules
1 608×unsub-neg
1 232×accelerator-lowering-fma.f32
1 232×accelerator-lowering-fma.f64
780×distribute-lft-in
684×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03397
110691
228690
3116390
4270490
5408390
6449290
7469990
8478590
9481790
10487990
11487990
12487990
13497790
14500590
089
1199
2489
31499
44389
59409
613369
716419
816749
916749
016748
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(* x (- 1 (* (- 1 y) z)))
Outputs
(* x (- 1 (* (- 1 y) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))))
Call 2
Inputs
(* x (- 1 (* (- 1 y) z)))
(* (neg x) (- 1 (* (- 1 y) z)))
(* x (- 1 (* (- 1 (neg y)) z)))
(* x (- 1 (* (- 1 y) (neg z))))
(neg (* (neg x) (- 1 (* (- 1 y) z))))
(neg (* x (- 1 (* (- 1 (neg y)) z))))
(neg (* x (- 1 (* (- 1 y) (neg z)))))
(* y (- 1 (* (- 1 x) z)))
(* z (- 1 (* (- 1 y) x)))
(* x (- 1 (* (- 1 z) y)))
Outputs
(* x (- 1 (* (- 1 y) z)))
(* x (+ 1 (- (* y z) z)))
(* (neg x) (- 1 (* (- 1 y) z)))
(* x (+ z (- -1 (* y z))))
(* x (- 1 (* (- 1 (neg y)) z)))
(* x (- (- 1 (* y z)) z))
(* x (- 1 (* (- 1 y) (neg z))))
(* x (+ 1 (- z (* y z))))
(neg (* (neg x) (- 1 (* (- 1 y) z))))
(* x (+ 1 (- (* y z) z)))
(neg (* x (- 1 (* (- 1 (neg y)) z))))
(* x (+ z (+ -1 (* y z))))
(neg (* x (- 1 (* (- 1 y) (neg z)))))
(* x (+ (- (* y z) z) -1))
(* y (- 1 (* (- 1 x) z)))
(* y (+ (- 1 z) (* x z)))
(* z (- 1 (* (- 1 y) x)))
(* z (+ 1 (* x (+ y -1))))
(* x (- 1 (* (- 1 z) y)))
(+ x (* x (* y (+ z -1))))
Symmetry

(negabs x)

explain89.0ms (0.9%)

Memory
11.2MiB live, 241.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
40-0-(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
00-0-(-.f64 #s(literal 1 binary64) y)
00-0-(*.f64 (-.f64 #s(literal 1 binary64) y) z)
00-0-y
00-0-#s(literal 1 binary64)
00-0-z
00-0-(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))n*o40
Confusion
Predicted +Predicted -
+40
-0252
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+400
-00252
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0252
14
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
33.0ms512×0valid
Compiler

Compiled 84 to 36 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 10.0ms (54% of total)
ival-sub: 8.0ms (43.2% 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
0.9MiB live, 0.9MiB allocated
Compiler

Compiled 12 to 9 computations (25% saved)

prune1.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify64.0ms (0.6%)

Memory
-1.2MiB live, 119.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
cost-diff0
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
Rules
1 232×accelerator-lowering-fma.f32
1 232×accelerator-lowering-fma.f64
496×*-lowering-*.f32
496×*-lowering-*.f64
442×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
11928
24828
314928
443828
594028
6133628
7164128
8167428
9167428
0167426
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* x (- 1 (* (- 1 y) z)))
x
(- 1 (* (- 1 y) z))
1
(* (- 1 y) z)
(- 1 y)
y
z
Outputs
(* x (- 1 (* (- 1 y) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))))
x
(- 1 (* (- 1 y) z))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64))))
1
#s(literal 1 binary64)
(* (- 1 y) z)
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
y
z

localize32.0ms (0.3%)

Memory
-15.1MiB live, 73.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
accuracy100.0%
(-.f64 #s(literal 1 binary64) y)
accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
accuracy98.4%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
Samples
20.0ms256×0valid
Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 3.0ms (52.8% of total)
ival-mult: 3.0ms (52.8% 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
18.9MiB live, 18.9MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (* x (- 1 (* (- 1 y) z)))>
#<alt (- 1 (* (- 1 y) z))>
#<alt (* (- 1 y) z)>
#<alt (- 1 y)>
Outputs
#<alt (* x (- 1 (* z (- 1 y))))>
#<alt (* x (- 1 (* z (- 1 y))))>
#<alt (* x (- 1 (* z (- 1 y))))>
#<alt (* x (- 1 (* z (- 1 y))))>
#<alt (* x (- 1 (* z (- 1 y))))>
#<alt (* x (- 1 (* z (- 1 y))))>
#<alt (* x (- 1 (* z (- 1 y))))>
#<alt (* x (- 1 (* z (- 1 y))))>
#<alt (* x (- 1 (* z (- 1 y))))>
#<alt (* x (- 1 (* z (- 1 y))))>
#<alt (* x (- 1 (* z (- 1 y))))>
#<alt (* x (- 1 (* z (- 1 y))))>
#<alt (* x (- 1 z))>
#<alt (+ (* x (* y z)) (* x (- 1 z)))>
#<alt (+ (* x (* y z)) (* x (- 1 z)))>
#<alt (+ (* x (* y z)) (* x (- 1 z)))>
#<alt (* x (* y z))>
#<alt (* y (+ (* x z) (/ (* x (- 1 z)) y)))>
#<alt (* y (+ (* x z) (/ (* x (- 1 z)) y)))>
#<alt (* y (+ (* x z) (/ (* x (- 1 z)) y)))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))>
#<alt x>
#<alt (+ x (* x (* z (- y 1))))>
#<alt (+ x (* x (* z (- y 1))))>
#<alt (+ x (* x (* z (- y 1))))>
#<alt (* x (* z (- y 1)))>
#<alt (* z (+ (* x (- y 1)) (/ x z)))>
#<alt (* z (+ (* x (- y 1)) (/ x z)))>
#<alt (* z (+ (* x (- y 1)) (/ x z)))>
#<alt (* -1 (* x (* z (- 1 y))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))>
#<alt (- 1 z)>
#<alt (- (+ 1 (* y z)) z)>
#<alt (- (+ 1 (* y z)) z)>
#<alt (- (+ 1 (* y z)) z)>
#<alt (* y z)>
#<alt (* y (- (/ 1 y) (+ (* -1 z) (/ z y))))>
#<alt (* y (- (/ 1 y) (+ (* -1 z) (/ z y))))>
#<alt (* y (- (/ 1 y) (+ (* -1 z) (/ z y))))>
#<alt (* y z)>
#<alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))>
#<alt 1>
#<alt (+ 1 (* z (- y 1)))>
#<alt (+ 1 (* z (- y 1)))>
#<alt (+ 1 (* z (- y 1)))>
#<alt (* z (- y 1))>
#<alt (* z (- (+ y (/ 1 z)) 1))>
#<alt (* z (- (+ y (/ 1 z)) 1))>
#<alt (* z (- (+ y (/ 1 z)) 1))>
#<alt (* -1 (* z (- 1 y)))>
#<alt (* z (+ (* -1 (- 1 y)) (/ 1 z)))>
#<alt (* z (+ (* -1 (- 1 y)) (/ 1 z)))>
#<alt (* z (+ (* -1 (- 1 y)) (/ 1 z)))>
#<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 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 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))))>
Calls

24 calls:

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

rewrite419.0ms (4%)

Memory
-0.6MiB live, 791.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 326×accelerator-lowering-fma.f32
4 326×accelerator-lowering-fma.f64
3 522×/-lowering-/.f32
3 522×/-lowering-/.f64
3 346×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
14224
232424
3353824
0942222
Stop Event
iter limit
node limit
Counts
4 → 445
Calls
Call 1
Inputs
(* x (- 1 (* (- 1 y) z)))
(- 1 (* (- 1 y) z))
(* (- 1 y) z)
(- 1 y)
Outputs
(+.f64 x (*.f64 z (*.f64 (+.f64 y #s(literal -1 binary64)) x)))
(+.f64 (*.f64 z (*.f64 (+.f64 y #s(literal -1 binary64)) x)) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 z (*.f64 (+.f64 y #s(literal -1 binary64)) x)))
(fma.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64))) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 z (*.f64 (+.f64 y #s(literal -1 binary64)) x)))
(fma.f64 z (*.f64 (+.f64 y #s(literal -1 binary64)) x) x)
(fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x)
(fma.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 0 binary64) z) x) x)
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) y)) x) x)
(fma.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (+.f64 #s(literal 1 binary64) y) x) x)
(fma.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) z) x)
(fma.f64 (*.f64 x z) (+.f64 y #s(literal -1 binary64)) x)
(fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) z x)
(fma.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 z (+.f64 #s(literal 1 binary64) y)) x)
(fma.f64 (*.f64 x (-.f64 #s(literal 0 binary64) z)) (+.f64 #s(literal 1 binary64) y) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) y))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) y)) (*.f64 z (+.f64 #s(literal 1 binary64) y))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) y))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) y)) (*.f64 z (+.f64 y #s(literal -1 binary64))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) y))))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) y)) (*.f64 z (+.f64 #s(literal 1 binary64) y)))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) y))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) y)) (*.f64 z (+.f64 y #s(literal -1 binary64)))))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) y)) (*.f64 z (+.f64 #s(literal 1 binary64) y)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) y))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) y)) (*.f64 z (+.f64 y #s(literal -1 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) y))))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) y)) (*.f64 z (+.f64 #s(literal 1 binary64) y))))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) y)))))))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) y)) (*.f64 z (+.f64 y #s(literal -1 binary64))))))) (+.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) y)) (*.f64 z (+.f64 #s(literal 1 binary64) y)))) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 z (*.f64 (+.f64 y #s(literal -1 binary64)) x)) (*.f64 z (*.f64 (+.f64 y #s(literal -1 binary64)) x))) (*.f64 x (*.f64 z (*.f64 (+.f64 y #s(literal -1 binary64)) x))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 z (*.f64 (+.f64 y #s(literal -1 binary64)) x)) (*.f64 z (*.f64 (+.f64 y #s(literal -1 binary64)) x)))) (-.f64 x (*.f64 z (*.f64 (+.f64 y #s(literal -1 binary64)) x))))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) y)) (*.f64 z (+.f64 #s(literal 1 binary64) y)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) y)))))))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) y)) (*.f64 z (+.f64 #s(literal 1 binary64) y))))) (+.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) y)) (*.f64 z (+.f64 #s(literal 1 binary64) y))))) x) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) y)))))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) y)) (*.f64 z (+.f64 #s(literal 1 binary64) y)))) x) (+.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) y))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) y)) (*.f64 z (+.f64 #s(literal 1 binary64) y)))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) y))))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) y)) (*.f64 z (+.f64 y #s(literal -1 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) y))))
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(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (*.f64 y y))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 y y))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(*.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y)))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y)))))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) (-.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))) (+.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) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))) (+.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) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (+.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) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (+.f64 #s(literal 1 binary64) (*.f64 y y))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y y))))

simplify239.0ms (2.3%)

Memory
8.3MiB live, 395.3MiB allocated
Algorithm
egg-herbie
Rules
7 100×accelerator-lowering-fma.f32
7 100×accelerator-lowering-fma.f64
2 666×*-lowering-*.f32
2 666×*-lowering-*.f64
1 332×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074613
1234592
2628592
31395592
44058592
56308592
67495592
08014544
Stop Event
iter limit
node limit
Counts
96 → 96
Calls
Call 1
Inputs
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 z))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(* x (* y z))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* -1 (* x (* z (- 1 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(- 1 z)
(- (+ 1 (* y z)) z)
(- (+ 1 (* y z)) z)
(- (+ 1 (* y z)) z)
(* y z)
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(* y z)
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
1
(+ 1 (* z (- y 1)))
(+ 1 (* z (- y 1)))
(+ 1 (* z (- y 1)))
(* z (- y 1))
(* z (- (+ y (/ 1 z)) 1))
(* z (- (+ y (/ 1 z)) 1))
(* z (- (+ y (/ 1 z)) 1))
(* -1 (* z (- 1 y)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
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 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))
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))))
Outputs
(* x (- 1 (* z (- 1 y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))))
(* x (- 1 (* z (- 1 y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))))
(* x (- 1 (* z (- 1 y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))))
(* x (- 1 (* z (- 1 y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))))
(* x (- 1 (* z (- 1 y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))))
(* x (- 1 (* z (- 1 y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))))
(* x (- 1 (* z (- 1 y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))))
(* x (- 1 (* z (- 1 y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))))
(* x (- 1 (* z (- 1 y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))))
(* x (- 1 (* z (- 1 y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))))
(* x (- 1 (* z (- 1 y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))))
(* x (- 1 (* z (- 1 y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))))
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+ (* x (* y z)) (* x (- 1 z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))))
(+ (* x (* y z)) (* x (- 1 z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))))
(+ (* x (* y z)) (* x (- 1 z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))))
(* x (* y z))
(*.f64 z (*.f64 x y))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))))
(* x (* y z))
(*.f64 z (*.f64 x y))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))))
x
(+ x (* x (* z (- y 1))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))))
(+ x (* x (* z (- y 1))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))))
(+ x (* x (* z (- y 1))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))))
(* x (* z (- y 1)))
(*.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64))))
(* z (+ (* x (- y 1)) (/ x z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))))
(* z (+ (* x (- y 1)) (/ x z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))))
(* z (+ (* x (- y 1)) (/ x z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))))
(* -1 (* x (* z (- 1 y))))
(*.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))))
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
(- (+ 1 (* y z)) z)
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64))))
(- (+ 1 (* y z)) z)
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64))))
(- (+ 1 (* y z)) z)
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64))))
(* y z)
(*.f64 z y)
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64))))
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64))))
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64))))
(* y z)
(*.f64 z y)
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64))))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64))))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* z (- y 1)))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64))))
(+ 1 (* z (- y 1)))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64))))
(+ 1 (* z (- y 1)))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64))))
(* z (- y 1))
(*.f64 z (+.f64 y #s(literal -1 binary64)))
(* z (- (+ y (/ 1 z)) 1))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64))))
(* z (- (+ y (/ 1 z)) 1))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64))))
(* z (- (+ y (/ 1 z)) 1))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64))))
(* -1 (* z (- 1 y)))
(*.f64 z (+.f64 y #s(literal -1 binary64)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64))))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64))))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64))))
z
(+ z (* -1 (* y z)))
(*.f64 z (-.f64 #s(literal 1 binary64) y))
(+ z (* -1 (* y z)))
(*.f64 z (-.f64 #s(literal 1 binary64) y))
(+ z (* -1 (* y z)))
(*.f64 z (-.f64 #s(literal 1 binary64) y))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (*.f64 z y))
(* y (+ (* -1 z) (/ z y)))
(*.f64 z (-.f64 #s(literal 1 binary64) y))
(* y (+ (* -1 z) (/ z y)))
(*.f64 z (-.f64 #s(literal 1 binary64) y))
(* y (+ (* -1 z) (/ z y)))
(*.f64 z (-.f64 #s(literal 1 binary64) y))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (*.f64 z y))
(* -1 (* y (+ z (* -1 (/ z y)))))
(*.f64 z (-.f64 #s(literal 1 binary64) y))
(* -1 (* y (+ z (* -1 (/ z y)))))
(*.f64 z (-.f64 #s(literal 1 binary64) y))
(* -1 (* y (+ z (* -1 (/ z y)))))
(*.f64 z (-.f64 #s(literal 1 binary64) y))
(* z (- 1 y))
(*.f64 z (-.f64 #s(literal 1 binary64) y))
(* z (- 1 y))
(*.f64 z (-.f64 #s(literal 1 binary64) y))
(* z (- 1 y))
(*.f64 z (-.f64 #s(literal 1 binary64) y))
(* z (- 1 y))
(*.f64 z (-.f64 #s(literal 1 binary64) y))
(* z (- 1 y))
(*.f64 z (-.f64 #s(literal 1 binary64) y))
(* z (- 1 y))
(*.f64 z (-.f64 #s(literal 1 binary64) y))
(* z (- 1 y))
(*.f64 z (-.f64 #s(literal 1 binary64) y))
(* z (- 1 y))
(*.f64 z (-.f64 #s(literal 1 binary64) y))
(* z (- 1 y))
(*.f64 z (-.f64 #s(literal 1 binary64) y))
(* z (- 1 y))
(*.f64 z (-.f64 #s(literal 1 binary64) y))
(* z (- 1 y))
(*.f64 z (-.f64 #s(literal 1 binary64) y))
(* z (- 1 y))
(*.f64 z (-.f64 #s(literal 1 binary64) y))
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)

eval153.0ms (1.5%)

Memory
-19.4MiB live, 126.1MiB allocated
Compiler

Compiled 16 164 to 1 723 computations (89.3% saved)

prune84.0ms (0.8%)

Memory
-12.6MiB live, 187.2MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New5329541
Fresh000
Picked101
Done000
Total5339542
Accuracy
100.0%
Counts
542 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.1%
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
69.7%
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) y)))))
69.7%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) y))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) y)) (*.f64 z (+.f64 y #s(literal -1 binary64))))))))
97.4%
(+.f64 (*.f64 z (*.f64 (+.f64 y #s(literal -1 binary64)) x)) x)
33.3%
(*.f64 z (*.f64 x y))
70.5%
(*.f64 x (-.f64 #s(literal 1 binary64) z))
59.3%
(*.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64))))
33.2%
(*.f64 x (*.f64 z y))
40.9%
x
Compiler

Compiled 206 to 130 computations (36.9% saved)

simplify144.0ms (1.4%)

Memory
-8.4MiB live, 147.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z (+.f64 #s(literal 1 binary64) y))
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) y)))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) y))))
cost-diff128
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) y)))))
cost-diff0
(+.f64 y #s(literal -1 binary64))
cost-diff0
(*.f64 z (+.f64 y #s(literal -1 binary64)))
cost-diff0
(*.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64))))
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff0
(*.f64 x (-.f64 #s(literal 1 binary64) z))
cost-diff0
(*.f64 z x)
cost-diff0
(+.f64 y #s(literal -1 binary64))
cost-diff6272
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
Rules
2 112×accelerator-lowering-fma.f32
2 112×accelerator-lowering-fma.f64
752×*-lowering-*.f32
752×*-lowering-*.f64
416×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01889
14687
210687
325487
443587
558087
687787
7137587
8176887
9213087
10243587
11247987
12248187
13259787
14264987
15264987
0264981
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* (+ y -1) (* z x)) x)
(+ y -1)
y
-1
(* z x)
z
x
x
(* x (- 1 z))
x
(- 1 z)
1
z
(* x (* z (+ y -1)))
x
(* z (+ y -1))
z
(+ y -1)
y
-1
(/ x (/ 1 (+ 1 (* z (+ 1 y)))))
x
(/ 1 (+ 1 (* z (+ 1 y))))
1
(+ 1 (* z (+ 1 y)))
(* z (+ 1 y))
z
(+ 1 y)
y
Outputs
(+ (* (+ y -1) (* z x)) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) z)))
(+ y -1)
(+.f64 y #s(literal -1 binary64))
y
-1
#s(literal -1 binary64)
(* z x)
(*.f64 z x)
z
x
x
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
x
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
z
(* x (* z (+ y -1)))
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))
x
(* z (+ y -1))
(*.f64 (+.f64 y #s(literal -1 binary64)) z)
z
(+ y -1)
(+.f64 y #s(literal -1 binary64))
y
-1
#s(literal -1 binary64)
(/ x (/ 1 (+ 1 (* z (+ 1 y)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal 1 binary64)))))
x
(/ 1 (+ 1 (* z (+ 1 y))))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 z (-.f64 #s(literal -1 binary64) y))))
1
#s(literal 1 binary64)
(+ 1 (* z (+ 1 y)))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal 1 binary64))))
(* z (+ 1 y))
(*.f64 z (+.f64 y #s(literal 1 binary64)))
z
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
y

localize64.0ms (0.6%)

Memory
20.9MiB live, 136.3MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 1 binary64) y)
accuracy100.0%
(*.f64 z (+.f64 #s(literal 1 binary64) y))
accuracy99.6%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) y))))
accuracy98.4%
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) y)))))
accuracy100.0%
(+.f64 y #s(literal -1 binary64))
accuracy100.0%
(*.f64 z (+.f64 y #s(literal -1 binary64)))
accuracy98.4%
(*.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64))))
accuracy100.0%
(-.f64 #s(literal 1 binary64) z)
accuracy100.0%
(*.f64 x (-.f64 #s(literal 1 binary64) z))
accuracy100.0%
(+.f64 y #s(literal -1 binary64))
accuracy100.0%
(*.f64 z x)
accuracy98.1%
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
Samples
43.0ms256×0valid
Compiler

Compiled 90 to 20 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 8.0ms (37.2% of total)
ival-div: 7.0ms (32.6% of total)
ival-add: 5.0ms (23.3% of total)
ival-sub: 1.0ms (4.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series23.0ms (0.2%)

Memory
18.7MiB live, 53.6MiB allocated
Counts
12 → 288
Calls
Call 1
Inputs
#<alt (+ (* (+ y -1) (* z x)) x)>
#<alt (+ y -1)>
#<alt (* z x)>
#<alt (* x (- 1 z))>
#<alt (- 1 z)>
#<alt (* x (* z (+ y -1)))>
#<alt (* z (+ y -1))>
#<alt (/ x (/ 1 (+ 1 (* z (+ 1 y)))))>
#<alt (/ 1 (+ 1 (* z (+ 1 y))))>
#<alt (+ 1 (* z (+ 1 y)))>
#<alt (* z (+ 1 y))>
#<alt (+ 1 y)>
Outputs
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (+ (* -1 (* x z)) (* x (* y z))))>
#<alt (+ x (+ (* -1 (* x z)) (* x (* y z))))>
#<alt (+ x (+ (* -1 (* x z)) (* x (* y z))))>
#<alt (* x (* y z))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))>
#<alt x>
#<alt (+ x (* x (* z (- y 1))))>
#<alt (+ x (* x (* z (- y 1))))>
#<alt (+ x (* x (* z (- y 1))))>
#<alt (* x (* z (- y 1)))>
#<alt (* z (+ (* x (- y 1)) (/ x z)))>
#<alt (* z (+ (* x (- y 1)) (/ x z)))>
#<alt (* z (+ (* x (- y 1)) (/ x z)))>
#<alt (* x (* z (- y 1)))>
#<alt (* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* -1 (* x (- (* -1 (* z (- y 1))) 1)))>
#<alt (* -1 (* x (- (* -1 (* z (- y 1))) 1)))>
#<alt (* -1 (* x (- (* -1 (* z (- y 1))) 1)))>
#<alt (* -1 (* x (- (* -1 (* z (- y 1))) 1)))>
#<alt -1>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt y>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt x>
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (* -1 (* x z)))>
#<alt (* -1 (* x z))>
#<alt (* z (+ (* -1 x) (/ x z)))>
#<alt (* z (+ (* -1 x) (/ x z)))>
#<alt (* z (+ (* -1 x) (/ x z)))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* z (+ x (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ x (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ x (* -1 (/ x z)))))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* -1 (* x z))>
#<alt (+ (* -1 (* x z)) (* x (* y z)))>
#<alt (+ (* -1 (* x z)) (* x (* y z)))>
#<alt (+ (* -1 (* x z)) (* x (* y z)))>
#<alt (* x (* y z))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (* x z)))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (* x z)))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (* x z)))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* y z))>
#<alt (+ (* -1 z) (* y z))>
#<alt (+ (* -1 z) (* y z))>
#<alt (* y z)>
#<alt (* y (+ z (* -1 (/ z y))))>
#<alt (* y (+ z (* -1 (/ z y))))>
#<alt (* y (+ z (* -1 (/ z y))))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (/ z y))))>
#<alt (* -1 (* y (+ (* -1 z) (/ z y))))>
#<alt (* -1 (* y (+ (* -1 z) (/ z y))))>
#<alt (* x (+ 1 (* z (+ 1 y))))>
#<alt (* x (+ 1 (* z (+ 1 y))))>
#<alt (* x (+ 1 (* z (+ 1 y))))>
#<alt (* x (+ 1 (* z (+ 1 y))))>
#<alt (* x (+ 1 (* z (+ 1 y))))>
#<alt (* x (+ 1 (* z (+ 1 y))))>
#<alt (* x (+ 1 (* z (+ 1 y))))>
#<alt (* x (+ 1 (* z (+ 1 y))))>
#<alt (* x (+ 1 (* z (+ 1 y))))>
#<alt (* x (+ 1 (* z (+ 1 y))))>
#<alt (* x (+ 1 (* z (+ 1 y))))>
#<alt (* x (+ 1 (* z (+ 1 y))))>
#<alt x>
#<alt (+ x (* x (* z (+ 1 y))))>
#<alt (+ x (* x (* z (+ 1 y))))>
#<alt (+ x (* x (* z (+ 1 y))))>
#<alt (* x (* z (+ 1 y)))>
#<alt (* z (+ (* x (+ 1 y)) (/ x z)))>
#<alt (* z (+ (* x (+ 1 y)) (/ x z)))>
#<alt (* z (+ (* x (+ 1 y)) (/ x z)))>
#<alt (* x (* z (+ 1 y)))>
#<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 (* x (+ 1 z))>
#<alt (+ (* x (* y z)) (* x (+ 1 z)))>
#<alt (+ (* x (* y z)) (* x (+ 1 z)))>
#<alt (+ (* x (* y z)) (* x (+ 1 z)))>
#<alt (* x (* y z))>
#<alt (* y (+ (* x z) (/ (* x (+ 1 z)) y)))>
#<alt (* y (+ (* x z) (/ (* x (+ 1 z)) y)))>
#<alt (* y (+ (* x z) (/ (* x (+ 1 z)) y)))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 z)) y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 z)) y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 z)) y)))))>
#<alt 1>
#<alt (+ 1 (* -1 (* z (+ 1 y))))>
#<alt (+ 1 (* z (- (* z (pow (+ 1 y) 2)) (+ 1 y))))>
#<alt (+ 1 (* z (- (* z (- (* -1 (* z (pow (+ 1 y) 3))) (* -1 (pow (+ 1 y) 2)))) (+ 1 y))))>
#<alt (/ 1 (* z (+ 1 y)))>
#<alt (/ (- (/ 1 (+ 1 y)) (/ 1 (* z (pow (+ 1 y) 2)))) z)>
#<alt (/ (- (+ (/ 1 (* (pow z 2) (pow (+ 1 y) 3))) (/ 1 (+ 1 y))) (/ 1 (* z (pow (+ 1 y) 2)))) z)>
#<alt (/ (- (+ (/ 1 (* (pow z 2) (pow (+ 1 y) 3))) (/ 1 (+ 1 y))) (+ (/ 1 (* z (pow (+ 1 y) 2))) (/ 1 (* (pow z 3) (pow (+ 1 y) 4))))) z)>
#<alt (/ 1 (* z (+ 1 y)))>
#<alt (* -1 (/ (- (/ 1 (* z (pow (+ 1 y) 2))) (/ 1 (+ 1 y))) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 (* z (pow (+ 1 y) 3))) (/ 1 (pow (+ 1 y) 2))) z)) (/ 1 (+ 1 y))) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* z (pow (+ 1 y) 4))) (/ 1 (pow (+ 1 y) 3))) z)) (/ 1 (pow (+ 1 y) 2))) z)) (/ 1 (+ 1 y))) z))>
#<alt (/ 1 (+ 1 z))>
#<alt (+ (* -1 (/ (* y z) (pow (+ 1 z) 2))) (/ 1 (+ 1 z)))>
#<alt (+ (* y (- (/ (* y (pow z 2)) (pow (+ 1 z) 3)) (/ z (pow (+ 1 z) 2)))) (/ 1 (+ 1 z)))>
#<alt (+ (* y (- (* y (- (* -1 (/ (* y (pow z 3)) (pow (+ 1 z) 4))) (* -1 (/ (pow z 2) (pow (+ 1 z) 3))))) (/ z (pow (+ 1 z) 2)))) (/ 1 (+ 1 z)))>
#<alt (/ 1 (* y z))>
#<alt (/ (+ (* -1 (/ (+ (/ 1 z) (/ 1 (pow z 2))) y)) (/ 1 z)) y)>
#<alt (/ (- (+ (/ 1 z) (/ (* (+ 1 z) (+ (/ 1 z) (/ 1 (pow z 2)))) (* (pow y 2) z))) (+ (/ 1 (* y z)) (/ 1 (* y (pow z 2))))) y)>
#<alt (/ (- (+ (* -1 (/ (* (pow (+ 1 z) 2) (+ (/ 1 z) (/ 1 (pow z 2)))) (* (pow y 3) (pow z 2)))) (/ 1 z)) (+ (* -1 (/ (* (+ 1 z) (+ (/ 1 z) (/ 1 (pow z 2)))) (* (pow y 2) z))) (+ (/ 1 (* y z)) (/ 1 (* y (pow z 2)))))) y)>
#<alt (/ 1 (* y z))>
#<alt (* -1 (/ (- (+ (/ 1 (* y z)) (/ 1 (* y (pow z 2)))) (/ 1 z)) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 z) (+ (/ 1 z) (/ 1 (pow z 2)))) (* y z)) (+ (/ 1 z) (/ 1 (pow z 2)))) y)) (/ 1 z)) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 1 z) 2) (+ (/ 1 z) (/ 1 (pow z 2)))) (* y (pow z 2))) (/ (* (+ 1 z) (+ (/ 1 z) (/ 1 (pow z 2)))) z)) y)) (+ (/ 1 z) (/ 1 (pow z 2)))) y)) (/ 1 z)) y))>
#<alt 1>
#<alt (+ 1 (* z (+ 1 y)))>
#<alt (+ 1 (* z (+ 1 y)))>
#<alt (+ 1 (* z (+ 1 y)))>
#<alt (* z (+ 1 y))>
#<alt (* z (+ 1 (+ y (/ 1 z))))>
#<alt (* z (+ 1 (+ y (/ 1 z))))>
#<alt (* z (+ 1 (+ y (/ 1 z))))>
#<alt (* z (+ 1 y))>
#<alt (* -1 (* z (- (* -1 (+ 1 y)) (/ 1 z))))>
#<alt (* -1 (* z (- (* -1 (+ 1 y)) (/ 1 z))))>
#<alt (* -1 (* z (- (* -1 (+ 1 y)) (/ 1 z))))>
#<alt (+ 1 z)>
#<alt (+ 1 (+ z (* y z)))>
#<alt (+ 1 (+ z (* y z)))>
#<alt (+ 1 (+ z (* y z)))>
#<alt (* y z)>
#<alt (* y (+ z (+ (/ 1 y) (/ z y))))>
#<alt (* y (+ z (+ (/ 1 y) (/ z y))))>
#<alt (* y (+ z (+ (/ 1 y) (/ z y))))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ (+ 1 z) y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ (+ 1 z) y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ (+ 1 z) 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 (* y z))>
#<alt (+ z (* y z))>
#<alt (+ z (* y z))>
#<alt (* y z)>
#<alt (* y (+ z (/ z y)))>
#<alt (* y (+ z (/ z y)))>
#<alt (* y (+ z (/ z y)))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ (* -1 z) (* -1 (/ z y)))))>
#<alt 1>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
Calls

72 calls:

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

rewrite369.0ms (3.5%)

Memory
8.2MiB live, 603.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 072×accelerator-lowering-fma.f32
5 072×accelerator-lowering-fma.f64
4 504×*-lowering-*.f32
4 504×*-lowering-*.f64
4 032×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01870
111468
292268
0857362
Stop Event
iter limit
node limit
Counts
12 → 828
Calls
Call 1
Inputs
(+ (* (+ y -1) (* z x)) x)
(+ y -1)
(* z x)
(* x (- 1 z))
(- 1 z)
(* x (* z (+ y -1)))
(* z (+ y -1))
(/ x (/ 1 (+ 1 (* z (+ 1 y)))))
(/ 1 (+ 1 (* z (+ 1 y))))
(+ 1 (* z (+ 1 y)))
(* z (+ 1 y))
(+ 1 y)
Outputs
(+.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)))
(+.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)) x)
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (*.f64 z x)))
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y))))
(*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 y (*.f64 y y))))))

simplify545.0ms (5.2%)

Memory
3.5MiB live, 806.2MiB allocated
Algorithm
egg-herbie
Rules
13 736×accelerator-lowering-fma.f32
13 736×accelerator-lowering-fma.f64
4 574×*-lowering-*.f32
4 574×*-lowering-*.f64
2 770×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02542245
18442117
225942030
083951900
Stop Event
iter limit
node limit
Counts
288 → 288
Calls
Call 1
Inputs
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(* x (* y z))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* x (* z (- y 1)))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
-1
(- y 1)
(- y 1)
(- y 1)
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* 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 (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
x
(+ x (* -1 (* x z)))
(+ x (* -1 (* x z)))
(+ x (* -1 (* x z)))
(* -1 (* x z))
(* z (+ (* -1 x) (/ x z)))
(* z (+ (* -1 x) (/ x z)))
(* z (+ (* -1 x) (/ x z)))
(* -1 (* x z))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (+ x (* -1 (/ x z)))))
1
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(* -1 z)
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* -1 z)
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* -1 (* x z))
(+ (* -1 (* x z)) (* x (* y z)))
(+ (* -1 (* x z)) (* x (* y z)))
(+ (* -1 (* x z)) (* x (* y z)))
(* x (* y z))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* -1 z)
(+ (* -1 z) (* y z))
(+ (* -1 z) (* y z))
(+ (* -1 z) (* y z))
(* y z)
(* y (+ z (* -1 (/ z y))))
(* y (+ z (* -1 (/ z y))))
(* y (+ z (* -1 (/ z y))))
(* y z)
(* -1 (* y (+ (* -1 z) (/ z y))))
(* -1 (* y (+ (* -1 z) (/ z y))))
(* -1 (* y (+ (* -1 z) (/ z y))))
(* x (+ 1 (* z (+ 1 y))))
(* x (+ 1 (* z (+ 1 y))))
(* x (+ 1 (* z (+ 1 y))))
(* x (+ 1 (* z (+ 1 y))))
(* x (+ 1 (* z (+ 1 y))))
(* x (+ 1 (* z (+ 1 y))))
(* x (+ 1 (* z (+ 1 y))))
(* x (+ 1 (* z (+ 1 y))))
(* x (+ 1 (* z (+ 1 y))))
(* x (+ 1 (* z (+ 1 y))))
(* x (+ 1 (* z (+ 1 y))))
(* x (+ 1 (* z (+ 1 y))))
x
(+ x (* x (* z (+ 1 y))))
(+ x (* x (* z (+ 1 y))))
(+ x (* x (* z (+ 1 y))))
(* x (* z (+ 1 y)))
(* z (+ (* x (+ 1 y)) (/ x z)))
(* z (+ (* x (+ 1 y)) (/ x z)))
(* z (+ (* x (+ 1 y)) (/ x z)))
(* x (* z (+ 1 y)))
(* -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)))))
(* x (+ 1 z))
(+ (* x (* y z)) (* x (+ 1 z)))
(+ (* x (* y z)) (* x (+ 1 z)))
(+ (* x (* y z)) (* x (+ 1 z)))
(* x (* y z))
(* y (+ (* x z) (/ (* x (+ 1 z)) y)))
(* y (+ (* x z) (/ (* x (+ 1 z)) y)))
(* y (+ (* x z) (/ (* x (+ 1 z)) y)))
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 z)) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 z)) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 z)) y)))))
1
(+ 1 (* -1 (* z (+ 1 y))))
(+ 1 (* z (- (* z (pow (+ 1 y) 2)) (+ 1 y))))
(+ 1 (* z (- (* z (- (* -1 (* z (pow (+ 1 y) 3))) (* -1 (pow (+ 1 y) 2)))) (+ 1 y))))
(/ 1 (* z (+ 1 y)))
(/ (- (/ 1 (+ 1 y)) (/ 1 (* z (pow (+ 1 y) 2)))) z)
(/ (- (+ (/ 1 (* (pow z 2) (pow (+ 1 y) 3))) (/ 1 (+ 1 y))) (/ 1 (* z (pow (+ 1 y) 2)))) z)
(/ (- (+ (/ 1 (* (pow z 2) (pow (+ 1 y) 3))) (/ 1 (+ 1 y))) (+ (/ 1 (* z (pow (+ 1 y) 2))) (/ 1 (* (pow z 3) (pow (+ 1 y) 4))))) z)
(/ 1 (* z (+ 1 y)))
(* -1 (/ (- (/ 1 (* z (pow (+ 1 y) 2))) (/ 1 (+ 1 y))) z))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* z (pow (+ 1 y) 3))) (/ 1 (pow (+ 1 y) 2))) z)) (/ 1 (+ 1 y))) z))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* z (pow (+ 1 y) 4))) (/ 1 (pow (+ 1 y) 3))) z)) (/ 1 (pow (+ 1 y) 2))) z)) (/ 1 (+ 1 y))) z))
(/ 1 (+ 1 z))
(+ (* -1 (/ (* y z) (pow (+ 1 z) 2))) (/ 1 (+ 1 z)))
(+ (* y (- (/ (* y (pow z 2)) (pow (+ 1 z) 3)) (/ z (pow (+ 1 z) 2)))) (/ 1 (+ 1 z)))
(+ (* y (- (* y (- (* -1 (/ (* y (pow z 3)) (pow (+ 1 z) 4))) (* -1 (/ (pow z 2) (pow (+ 1 z) 3))))) (/ z (pow (+ 1 z) 2)))) (/ 1 (+ 1 z)))
(/ 1 (* y z))
(/ (+ (* -1 (/ (+ (/ 1 z) (/ 1 (pow z 2))) y)) (/ 1 z)) y)
(/ (- (+ (/ 1 z) (/ (* (+ 1 z) (+ (/ 1 z) (/ 1 (pow z 2)))) (* (pow y 2) z))) (+ (/ 1 (* y z)) (/ 1 (* y (pow z 2))))) y)
(/ (- (+ (* -1 (/ (* (pow (+ 1 z) 2) (+ (/ 1 z) (/ 1 (pow z 2)))) (* (pow y 3) (pow z 2)))) (/ 1 z)) (+ (* -1 (/ (* (+ 1 z) (+ (/ 1 z) (/ 1 (pow z 2)))) (* (pow y 2) z))) (+ (/ 1 (* y z)) (/ 1 (* y (pow z 2)))))) y)
(/ 1 (* y z))
(* -1 (/ (- (+ (/ 1 (* y z)) (/ 1 (* y (pow z 2)))) (/ 1 z)) y))
(* -1 (/ (- (* -1 (/ (- (/ (* (+ 1 z) (+ (/ 1 z) (/ 1 (pow z 2)))) (* y z)) (+ (/ 1 z) (/ 1 (pow z 2)))) y)) (/ 1 z)) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 1 z) 2) (+ (/ 1 z) (/ 1 (pow z 2)))) (* y (pow z 2))) (/ (* (+ 1 z) (+ (/ 1 z) (/ 1 (pow z 2)))) z)) y)) (+ (/ 1 z) (/ 1 (pow z 2)))) y)) (/ 1 z)) y))
1
(+ 1 (* z (+ 1 y)))
(+ 1 (* z (+ 1 y)))
(+ 1 (* z (+ 1 y)))
(* z (+ 1 y))
(* z (+ 1 (+ y (/ 1 z))))
(* z (+ 1 (+ y (/ 1 z))))
(* z (+ 1 (+ y (/ 1 z))))
(* z (+ 1 y))
(* -1 (* z (- (* -1 (+ 1 y)) (/ 1 z))))
(* -1 (* z (- (* -1 (+ 1 y)) (/ 1 z))))
(* -1 (* z (- (* -1 (+ 1 y)) (/ 1 z))))
(+ 1 z)
(+ 1 (+ z (* y z)))
(+ 1 (+ z (* y z)))
(+ 1 (+ z (* y z)))
(* y z)
(* y (+ z (+ (/ 1 y) (/ z y))))
(* y (+ z (+ (/ 1 y) (/ z y))))
(* y (+ z (+ (/ 1 y) (/ z y))))
(* y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ (+ 1 z) y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ (+ 1 z) y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ (+ 1 z) 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 (* y z))
(+ z (* y z))
(+ z (* y z))
(* y z)
(* y (+ z (/ z y)))
(* y (+ z (/ z y)))
(* y (+ z (/ z y)))
(* y z)
(* -1 (* y (+ (* -1 z) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ z y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ z y)))))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
Outputs
(+ x (* -1 (* x z)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) y))))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) y))))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) y))))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(+.f64 (*.f64 z (*.f64 x (+.f64 #s(literal -1 binary64) y))) (/.f64 (*.f64 x y) y))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(+.f64 (*.f64 z (*.f64 x (+.f64 #s(literal -1 binary64) y))) (/.f64 (*.f64 x y) y))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(+.f64 (*.f64 z (*.f64 x (+.f64 #s(literal -1 binary64) y))) (/.f64 (*.f64 x y) y))
(* x (* y z))
(*.f64 x (*.f64 z y))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(+.f64 (*.f64 z (*.f64 x (+.f64 #s(literal -1 binary64) y))) (/.f64 (*.f64 x y) y))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(+.f64 (*.f64 z (*.f64 x (+.f64 #s(literal -1 binary64) y))) (/.f64 (*.f64 x y) y))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(+.f64 (*.f64 z (*.f64 x (+.f64 #s(literal -1 binary64) y))) (/.f64 (*.f64 x y) y))
x
(+ x (* x (* z (- y 1))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) y))))
(+ x (* x (* z (- y 1))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) y))))
(+ x (* x (* z (- y 1))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) y))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 #s(literal -1 binary64) y)))
(* z (+ (* x (- y 1)) (/ x z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) y))))
(* z (+ (* x (- y 1)) (/ x z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) y))))
(* z (+ (* x (- y 1)) (/ x z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) y))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 #s(literal -1 binary64) y)))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) y))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) y))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) y))))
(* x (+ 1 (* z (- y 1))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) y))))
(* x (+ 1 (* z (- y 1))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) y))))
(* x (+ 1 (* z (- y 1))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) y))))
(* x (+ 1 (* z (- y 1))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) y))))
(* x (+ 1 (* z (- y 1))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) y))))
(* x (+ 1 (* z (- y 1))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) y))))
(* x (+ 1 (* z (- y 1))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) y))))
(* x (+ 1 (* z (- y 1))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) y))))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) y))))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) y))))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) y))))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) y))))
-1
#s(literal -1 binary64)
(- y 1)
(+.f64 #s(literal -1 binary64) y)
(- y 1)
(+.f64 #s(literal -1 binary64) y)
(- y 1)
(+.f64 #s(literal -1 binary64) y)
y
(* y (- 1 (/ 1 y)))
(+.f64 #s(literal -1 binary64) y)
(* y (- 1 (/ 1 y)))
(+.f64 #s(literal -1 binary64) y)
(* y (- 1 (/ 1 y)))
(+.f64 #s(literal -1 binary64) y)
y
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 #s(literal -1 binary64) y)
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 #s(literal -1 binary64) y)
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 #s(literal -1 binary64) y)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
x
(+ x (* -1 (* x z)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+ x (* -1 (* x z)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+ x (* -1 (* x z)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(* z (+ (* -1 x) (/ x z)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* z (+ (* -1 x) (/ x z)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* z (+ (* -1 x) (/ x z)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(* -1 (* z (+ x (* -1 (/ x z)))))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* -1 (* z (+ x (* -1 (/ x z)))))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* -1 (* z (+ x (* -1 (/ x z)))))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 #s(literal -1 binary64) y)))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 #s(literal -1 binary64) y)))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 #s(literal -1 binary64) y)))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 #s(literal -1 binary64) y)))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 #s(literal -1 binary64) y)))
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(*.f64 z (+.f64 y #s(literal 1 binary64)))
(* z (+ 1 y))
(*.f64 z (+.f64 y #s(literal 1 binary64)))
(* z (+ 1 y))
(*.f64 z (+.f64 y #s(literal 1 binary64)))
(* z (+ 1 y))
(*.f64 z (+.f64 y #s(literal 1 binary64)))
(* z (+ 1 y))
(*.f64 z (+.f64 y #s(literal 1 binary64)))
(* z (+ 1 y))
(*.f64 z (+.f64 y #s(literal 1 binary64)))
(* z (+ 1 y))
(*.f64 z (+.f64 y #s(literal 1 binary64)))
(* z (+ 1 y))
(*.f64 z (+.f64 y #s(literal 1 binary64)))
(* z (+ 1 y))
(*.f64 z (+.f64 y #s(literal 1 binary64)))
z
(+ z (* y z))
(*.f64 z (+.f64 y #s(literal 1 binary64)))
(+ z (* y z))
(*.f64 z (+.f64 y #s(literal 1 binary64)))
(+ z (* y z))
(*.f64 z (+.f64 y #s(literal 1 binary64)))
(* y z)
(*.f64 z y)
(* y (+ z (/ z y)))
(*.f64 z (+.f64 y #s(literal 1 binary64)))
(* y (+ z (/ z y)))
(*.f64 z (+.f64 y #s(literal 1 binary64)))
(* y (+ z (/ z y)))
(*.f64 z (+.f64 y #s(literal 1 binary64)))
(* y z)
(*.f64 z y)
(* -1 (* y (+ (* -1 z) (* -1 (/ z y)))))
(*.f64 z (+.f64 y #s(literal 1 binary64)))
(* -1 (* y (+ (* -1 z) (* -1 (/ z y)))))
(*.f64 z (+.f64 y #s(literal 1 binary64)))
(* -1 (* y (+ (* -1 z) (* -1 (/ z y)))))
(*.f64 z (+.f64 y #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
y
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
y
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))

eval209.0ms (2%)

Memory
9.9MiB live, 346.0MiB allocated
Compiler

Compiled 22 734 to 2 764 computations (87.8% saved)

prune247.0ms (2.4%)

Memory
-21.1MiB live, 330.7MiB allocated
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1 17751 182
Fresh224
Picked325
Done000
Total1 18291 191
Accuracy
100.0%
Counts
1 191 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.3%
(/.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) z) y)) y))
70.9%
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z y))))
33.2%
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 z y)))
70.5%
(+.f64 (neg.f64 (*.f64 z x)) x)
58.9%
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))
33.3%
(*.f64 z (*.f64 x y))
70.5%
(*.f64 x (-.f64 #s(literal 1 binary64) z))
33.2%
(*.f64 x (*.f64 z y))
40.9%
x
Compiler

Compiled 166 to 107 computations (35.5% saved)

simplify66.0ms (0.6%)

Memory
-7.9MiB live, 73.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z x)
cost-diff0
(+.f64 y #s(literal -1 binary64))
cost-diff0
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))
cost-diff-64
(neg.f64 (*.f64 z x))
cost-diff0
(*.f64 z x)
cost-diff128
(+.f64 (neg.f64 (*.f64 z x)) x)
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 z (*.f64 x y))
cost-diff0
(*.f64 z y)
cost-diff0
(*.f64 x (*.f64 z y))
cost-diff0
(*.f64 z y)
cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 z y))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z y)))
cost-diff128
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z y))))
Rules
848×accelerator-lowering-fma.f32
848×accelerator-lowering-fma.f64
464×*-lowering-*.f32
464×*-lowering-*.f64
192×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01782
14079
27979
313579
434979
558179
691179
7126079
8135179
9136479
10136679
11136979
12137079
0137076
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ x (/ 1 (+ 1 (* z y))))
x
(/ 1 (+ 1 (* z y)))
1
(+ 1 (* z y))
(* z y)
z
y
(* x (* z y))
x
(* z y)
z
y
(* z (* x y))
z
(* x y)
x
y
(+ (neg (* z x)) x)
(neg (* z x))
(* z x)
z
x
(* (+ y -1) (* z x))
(+ y -1)
y
-1
(* z x)
z
x
Outputs
(/ x (/ 1 (+ 1 (* z y))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z y)))
x
(/ 1 (+ 1 (* z y)))
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z y)))
1
#s(literal 1 binary64)
(+ 1 (* z y))
(+.f64 #s(literal 1 binary64) (*.f64 z y))
(* z y)
(*.f64 z y)
z
y
(* x (* z y))
(*.f64 x (*.f64 z y))
x
(* z y)
(*.f64 z y)
z
y
(* z (* x y))
(*.f64 x (*.f64 z y))
z
(* x y)
(*.f64 x y)
x
y
(+ (neg (* z x)) x)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(neg (* z x))
(*.f64 z (-.f64 #s(literal 0 binary64) x))
(* z x)
(*.f64 x z)
z
x
(* (+ y -1) (* z x))
(*.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64))))
(+ y -1)
(+.f64 y #s(literal -1 binary64))
y
-1
#s(literal -1 binary64)
(* z x)
(*.f64 x z)
z
x

localize53.0ms (0.5%)

Memory
-7.4MiB live, 108.0MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 y #s(literal -1 binary64))
accuracy100.0%
(*.f64 z x)
accuracy96.9%
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))
accuracy100.0%
(*.f64 z x)
accuracy100.0%
(neg.f64 (*.f64 z x))
accuracy100.0%
(+.f64 (neg.f64 (*.f64 z x)) x)
accuracy100.0%
(*.f64 x y)
accuracy91.6%
(*.f64 z (*.f64 x y))
accuracy100.0%
(*.f64 z y)
accuracy94.9%
(*.f64 x (*.f64 z y))
accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 z y))
accuracy100.0%
(*.f64 z y)
accuracy99.6%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z y)))
accuracy98.4%
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z y))))
Samples
34.0ms256×0valid
Compiler

Compiled 84 to 19 computations (77.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 11.0ms (57.8% of total)
ival-div: 3.0ms (15.8% of total)
ival-add: 3.0ms (15.8% of total)
ival-neg: 1.0ms (5.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory
-6.9MiB live, 33.1MiB allocated
Counts
12 → 324
Calls
Call 1
Inputs
#<alt (/ x (/ 1 (+ 1 (* z y))))>
#<alt (/ 1 (+ 1 (* z y)))>
#<alt (+ 1 (* z y))>
#<alt (* z y)>
#<alt (* x (* z y))>
#<alt (* z (* x y))>
#<alt (* x y)>
#<alt (+ (neg (* z x)) x)>
#<alt (* z x)>
#<alt (neg (* z x))>
#<alt (* (+ y -1) (* z x))>
#<alt (+ y -1)>
Outputs
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt x>
#<alt (+ x (* x (* y z)))>
#<alt (+ x (* x (* y z)))>
#<alt (+ x (* x (* y z)))>
#<alt (* x (* y z))>
#<alt (* z (+ (* x y) (/ x z)))>
#<alt (* z (+ (* x y) (/ x z)))>
#<alt (* z (+ (* x y) (/ x z)))>
#<alt (* x (* y z))>
#<alt (* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))>
#<alt x>
#<alt (+ x (* x (* y z)))>
#<alt (+ x (* x (* y z)))>
#<alt (+ x (* x (* y z)))>
#<alt (* x (* y z))>
#<alt (* y (+ (* x z) (/ x y)))>
#<alt (* y (+ (* x z) (/ x y)))>
#<alt (* y (+ (* x z) (/ x y)))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))>
#<alt 1>
#<alt (+ 1 (* -1 (* y z)))>
#<alt (+ 1 (* z (- (* (pow y 2) z) y)))>
#<alt (+ 1 (* z (- (* z (- (* -1 (* (pow y 3) z)) (* -1 (pow y 2)))) y)))>
#<alt (/ 1 (* y z))>
#<alt (/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z)>
#<alt (/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (/ 1 (* (pow y 2) z))) z)>
#<alt (/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (+ (/ 1 (* (pow y 2) z)) (/ 1 (* (pow y 4) (pow z 3))))) z)>
#<alt (/ 1 (* y z))>
#<alt (* -1 (/ (- (/ 1 (* (pow y 2) z)) (/ 1 y)) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow y 3) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) z))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow y 4) z)) (/ 1 (pow y 3))) z)) (/ 1 (pow y 2))) z)) (/ 1 y)) z))>
#<alt 1>
#<alt (+ 1 (* -1 (* y z)))>
#<alt (+ 1 (* y (- (* y (pow z 2)) z)))>
#<alt (+ 1 (* y (- (* y (- (* -1 (* y (pow z 3))) (* -1 (pow z 2)))) z)))>
#<alt (/ 1 (* y z))>
#<alt (/ (- (/ 1 z) (/ 1 (* y (pow z 2)))) y)>
#<alt (/ (- (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))) (/ 1 (* y (pow z 2)))) y)>
#<alt (/ (- (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))) (+ (/ 1 (* y (pow z 2))) (/ 1 (* (pow y 3) (pow z 4))))) y)>
#<alt (/ 1 (* y z))>
#<alt (* -1 (/ (- (/ 1 (* y (pow z 2))) (/ 1 z)) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 3))) (/ 1 (pow z 2))) y)) (/ 1 z)) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow z 4))) (/ 1 (pow z 3))) y)) (/ 1 (pow z 2))) y)) (/ 1 z)) y))>
#<alt 1>
#<alt (+ 1 (* y z))>
#<alt (+ 1 (* y z))>
#<alt (+ 1 (* y z))>
#<alt (* y z)>
#<alt (* z (+ y (/ 1 z)))>
#<alt (* z (+ y (/ 1 z)))>
#<alt (* z (+ y (/ 1 z)))>
#<alt (* y z)>
#<alt (* -1 (* z (- (* -1 y) (/ 1 z))))>
#<alt (* -1 (* z (- (* -1 y) (/ 1 z))))>
#<alt (* -1 (* z (- (* -1 y) (/ 1 z))))>
#<alt 1>
#<alt (+ 1 (* y z))>
#<alt (+ 1 (* y z))>
#<alt (+ 1 (* y z))>
#<alt (* y z)>
#<alt (* y (+ z (/ 1 y)))>
#<alt (* y (+ z (/ 1 y)))>
#<alt (* y (+ z (/ 1 y)))>
#<alt (* y z)>
#<alt (* -1 (* y (- (* -1 z) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1 z) (/ 1 y))))>
#<alt (* -1 (* y (- (* -1 z) (/ 1 y))))>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* 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>
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (* -1 (* x z)))>
#<alt (* -1 (* x z))>
#<alt (* z (- (/ x z) x))>
#<alt (* z (- (/ x z) x))>
#<alt (* z (- (/ x z) x))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 x))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 x))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 x))))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (+ (* -1 (* x z)) (* x (* y z)))>
#<alt (+ (* -1 (* x z)) (* x (* y z)))>
#<alt (+ (* -1 (* x z)) (* x (* y z)))>
#<alt (* x (* y z))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (* x z)))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (* x z)))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (* x z)))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt (* x (* z (- y 1)))>
#<alt -1>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt y>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
Calls

81 calls:

TimeVariablePointExpression
3.0ms
y
@inf
(* (+ y -1) (* z x))
1.0ms
x
@0
(/ x (/ 1 (+ 1 (* z y))))
0.0ms
z
@inf
(* x (* z y))
0.0ms
y
@inf
(* x (* z y))
0.0ms
z
@-inf
(/ x (/ 1 (+ 1 (* z y))))

rewrite647.0ms (6.2%)

Memory
37.3MiB live, 509.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 916×accelerator-lowering-fma.f32
4 916×accelerator-lowering-fma.f64
3 632×*-lowering-*.f32
3 632×*-lowering-*.f64
2 408×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01759
19056
259356
3601756
0860952
Stop Event
iter limit
node limit
Counts
12 → 758
Calls
Call 1
Inputs
(/ x (/ 1 (+ 1 (* z y))))
(/ 1 (+ 1 (* z y)))
(+ 1 (* z y))
(* z y)
(* x (* z y))
(* z (* x y))
(* x y)
(+ (neg (* z x)) x)
(* z x)
(neg (* z x))
(* (+ y -1) (* z x))
(+ y -1)
Outputs
(+.f64 x (*.f64 x (*.f64 z y)))
(+.f64 x (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z y))))
(+.f64 x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z y)) (-.f64 #s(literal 0 binary64) x)))
(+.f64 (*.f64 x (*.f64 z y)) x)
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z y))) x)
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z y)) (-.f64 #s(literal 0 binary64) x)) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 z y))) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 z y))))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 z y)))) (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 z y))))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 z y)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z y))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z y)) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 x (*.f64 z y) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 z y)))
(fma.f64 #s(literal 1 binary64) x (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z y))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z y)) (-.f64 #s(literal 0 binary64) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y)) x)
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(fma.f64 y (*.f64 x z) x)
(fma.f64 (*.f64 z y) x x)
(fma.f64 (*.f64 x y) z x)
(fma.f64 (*.f64 x (*.f64 z y)) #s(literal 1 binary64) x)
(fma.f64 (*.f64 x z) y x)
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simplify423.0ms (4.1%)

Memory
-6.0MiB live, 552.4MiB allocated
Algorithm
egg-herbie
Rules
7 906×accelerator-lowering-fma.f32
7 906×accelerator-lowering-fma.f64
4 188×*-lowering-*.f32
4 188×*-lowering-*.f64
2 752×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01771885
15311749
213381741
337661741
082661685
Stop Event
iter limit
node limit
Counts
324 → 324
Calls
Call 1
Inputs
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(* x (- 1 z))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 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)
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(* x z)
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(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(+ (* -1 (* x z)) (* x (* y z)))
(+ (* -1 (* x z)) (* x (* y z)))
(+ (* -1 (* x z)) (* x (* y z)))
(* x (* y z))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
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(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
(* x (* z (- y 1)))
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-1
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(* y (- 1 (/ 1 y)))
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Outputs
(* x (+ 1 (* y z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y z)))
(* x (+ 1 (* y z)))
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(* x (+ 1 (* y z)))
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x
(+ x (* x (* y z)))
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(* x (* y z))
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(* z (+ (* x y) (/ x z)))
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x
(+ x (* x (* y z)))
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(* x (* y z))
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1
#s(literal 1 binary64)
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(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 z (+.f64 (*.f64 y z) #s(literal -1 binary64)))))
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(+.f64 #s(literal 1 binary64) (*.f64 z (-.f64 (*.f64 z (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y z))))) y)))
(/ 1 (* y z))
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(/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z)
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) y)
(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (/ 1 (* (pow y 2) z))) z)
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(/ (- (+ (/ 1 y) (/ 1 (* (pow y 3) (pow z 2)))) (+ (/ 1 (* (pow y 2) z)) (/ 1 (* (pow y 4) (pow z 3))))) z)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y z)))) (/.f64 #s(literal -1 binary64) (*.f64 y y))) z)) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z z))) (pow.f64 y #s(literal 4 binary64)))) z)
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(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) y) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 y #s(literal 4 binary64)))) z) (/.f64 #s(literal -1 binary64) (*.f64 y y))) z)) z)
1
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(/ (- (+ (/ 1 z) (/ 1 (* (pow y 2) (pow z 3)))) (/ 1 (* y (pow z 2)))) y)
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1
#s(literal 1 binary64)
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(* y z)
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1
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(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* x z)
(*.f64 x z)
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(+ (* -1 (* x z)) (* x (* y z)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(+ (* -1 (* x z)) (* x (* y z)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(+ (* -1 (* x z)) (* x (* y z)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* y (+ (* -1 (/ (* x z) y)) (* x z)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* -1 (* y (+ (* -1 (* x z)) (/ (* x z) y))))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
(* x (* z (- y 1)))
(*.f64 z (*.f64 x (+.f64 y #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- y 1)
(+.f64 y #s(literal -1 binary64))
(- y 1)
(+.f64 y #s(literal -1 binary64))
y
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
(* y (- 1 (/ 1 y)))
(+.f64 y #s(literal -1 binary64))
y
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 y #s(literal -1 binary64))

eval301.0ms (2.9%)

Memory
-3.5MiB live, 340.5MiB allocated
Compiler

Compiled 18 452 to 1 957 computations (89.4% saved)

prune132.0ms (1.3%)

Memory
-10.1MiB live, 317.1MiB allocated
Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New1 18541 189
Fresh112
Picked235
Done022
Total1 188101 198
Accuracy
100.0%
Counts
1 198 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.1%
(/.f64 x (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) y))
33.2%
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 z y)))
70.5%
(-.f64 x (*.f64 x z))
70.9%
(+.f64 (*.f64 x (*.f64 z y)) x)
58.9%
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))
35.4%
(*.f64 (*.f64 x z) y)
33.3%
(*.f64 z (*.f64 x y))
70.5%
(*.f64 x (-.f64 #s(literal 1 binary64) z))
33.2%
(*.f64 x (*.f64 z y))
40.9%
x
Compiler

Compiled 146 to 96 computations (34.2% saved)

simplify396.0ms (3.8%)

Memory
34.2MiB live, 229.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -1 binary64) z)
cost-diff0
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) y)
cost-diff0
(/.f64 x (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) y))
cost-diff128
(*.f64 (/.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z))))
cost-diff0
(*.f64 z y)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 z y))
cost-diff128
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 z y)))
cost-diff0
(*.f64 x z)
cost-diff0
(-.f64 x (*.f64 x z))
cost-diff0
(*.f64 x z)
cost-diff0
(*.f64 (*.f64 x z) y)
cost-diff0
(*.f64 z y)
cost-diff0
(*.f64 x (*.f64 z y))
cost-diff0
(+.f64 (*.f64 x (*.f64 z y)) x)
Rules
1 816×accelerator-lowering-fma.f32
1 816×accelerator-lowering-fma.f64
1 376×*-lowering-*.f32
1 376×*-lowering-*.f64
1 220×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020118
152115
2125112
3279112
4762112
52449112
64171112
75206112
85399112
95434112
105452112
115554112
126011112
136294112
146338112
156352112
166354112
176354112
186410112
196454112
206510112
216566112
226566112
236566112
246566112
256566112
06566111
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* x (* z y)) x)
(* x (* z y))
x
(* z y)
z
y
(* (* x z) y)
(* x z)
x
z
y
(- x (* x z))
x
(* x z)
z
(/ x (/ 1 (* z y)))
x
(/ 1 (* z y))
1
(* z y)
z
y
(/ x (/ (* (/ -1 z) (+ -1 (/ 1 (* y z)))) y))
x
(/ (* (/ -1 z) (+ -1 (/ 1 (* y z)))) y)
(* (/ -1 z) (+ -1 (/ 1 (* y z))))
(/ -1 z)
-1
z
(+ -1 (/ 1 (* y z)))
(/ 1 (* y z))
1
(* y z)
y
Outputs
(+ (* x (* z y)) x)
(*.f64 x (+.f64 (*.f64 z y) #s(literal 1 binary64)))
(* x (* z y))
(*.f64 x (*.f64 z y))
x
(* z y)
(*.f64 z y)
z
y
(* (* x z) y)
(*.f64 x (*.f64 z y))
(* x z)
(*.f64 x z)
x
z
y
(- x (* x z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
x
(* x z)
(*.f64 x z)
z
(/ x (/ 1 (* z y)))
(*.f64 x (*.f64 z y))
x
(/ 1 (* z y))
(/.f64 #s(literal 1 binary64) (*.f64 z y))
1
#s(literal 1 binary64)
(* z y)
(*.f64 z y)
z
y
(/ x (/ (* (/ -1 z) (+ -1 (/ 1 (* y z)))) y))
(/.f64 (*.f64 x (*.f64 z y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z y))))
x
(/ (* (/ -1 z) (+ -1 (/ 1 (* y z)))) y)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z y))) z) y)
(* (/ -1 z) (+ -1 (/ 1 (* y z))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z y))) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
-1
#s(literal -1 binary64)
z
(+ -1 (/ 1 (* y z)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(/ 1 (* y z))
(/.f64 #s(literal 1 binary64) (*.f64 z y))
1
#s(literal 1 binary64)
(* y z)
(*.f64 z y)
y

localize121.0ms (1.2%)

Memory
0.8MiB live, 116.9MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy99.9%
(*.f64 (/.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z))))
accuracy99.4%
(/.f64 #s(literal 1 binary64) (*.f64 y z))
accuracy96.5%
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) y)
accuracy92.6%
(/.f64 x (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) y))
accuracy100.0%
(*.f64 z y)
accuracy99.4%
(/.f64 #s(literal 1 binary64) (*.f64 z y))
accuracy94.6%
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 z y)))
accuracy100.0%
(*.f64 x z)
accuracy100.0%
(-.f64 x (*.f64 x z))
accuracy100.0%
(*.f64 x z)
accuracy92.3%
(*.f64 (*.f64 x z) y)
accuracy100.0%
(*.f64 z y)
accuracy100.0%
(+.f64 (*.f64 x (*.f64 z y)) x)
accuracy94.9%
(*.f64 x (*.f64 z y))
Samples
98.0ms256×0valid
Compiler

Compiled 122 to 22 computations (82% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-div: 67.0ms (84.5% of total)
ival-mult: 8.0ms (10.1% of total)
ival-add: 2.0ms (2.5% of total)
ival-sub: 1.0ms (1.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series70.0ms (0.7%)

Memory
-6.1MiB live, 35.1MiB allocated
Counts
13 → 360
Calls
Call 1
Inputs
#<alt (+ (* x (* z y)) x)>
#<alt (* x (* z y))>
#<alt (* z y)>
#<alt (* (* x z) y)>
#<alt (* x z)>
#<alt (- x (* x z))>
#<alt (/ x (/ 1 (* z y)))>
#<alt (/ 1 (* z y))>
#<alt (* (/ -1 z) (+ -1 (/ 1 (* y z))))>
#<alt (/ x (/ (* (/ -1 z) (+ -1 (/ 1 (* y z)))) y))>
#<alt (/ (* (/ -1 z) (+ -1 (/ 1 (* y z)))) y)>
#<alt (/ -1 z)>
#<alt (/ 1 (* y z))>
Outputs
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* -1 (* x (- (* -1 (* y z)) 1)))>
#<alt (* -1 (* x (- (* -1 (* y z)) 1)))>
#<alt (* -1 (* x (- (* -1 (* y z)) 1)))>
#<alt (* -1 (* x (- (* -1 (* y z)) 1)))>
#<alt x>
#<alt (+ x (* x (* y z)))>
#<alt (+ x (* x (* y z)))>
#<alt (+ x (* x (* y z)))>
#<alt (* x (* y z))>
#<alt (* z (+ (* x y) (/ x z)))>
#<alt (* z (+ (* x y) (/ x z)))>
#<alt (* z (+ (* x y) (/ x z)))>
#<alt (* x (* y z))>
#<alt (* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))>
#<alt x>
#<alt (+ x (* x (* y z)))>
#<alt (+ x (* x (* y z)))>
#<alt (+ x (* x (* y z)))>
#<alt (* x (* y z))>
#<alt (* y (+ (* x z) (/ x y)))>
#<alt (* y (+ (* x z) (/ x y)))>
#<alt (* y (+ (* x z) (/ x y)))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x 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 (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt x>
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (* -1 (* x z)))>
#<alt (* -1 (* x z))>
#<alt (* z (- (/ x z) x))>
#<alt (* z (- (/ x z) x))>
#<alt (* z (- (/ x z) x))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 x))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 x))))>
#<alt (* -1 (* z (- (* -1 (/ x z)) (* -1 x))))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ -1 (* y (pow z 2)))>
#<alt (/ (- z (/ 1 y)) (pow z 2))>
#<alt (/ (- z (/ 1 y)) (pow z 2))>
#<alt (/ (- z (/ 1 y)) (pow z 2))>
#<alt (/ 1 z)>
#<alt (/ (- 1 (/ 1 (* y z))) z)>
#<alt (/ (- 1 (/ 1 (* y z))) z)>
#<alt (/ (- 1 (/ 1 (* y z))) z)>
#<alt (/ 1 z)>
#<alt (* -1 (/ (- (/ 1 (* y z)) 1) z))>
#<alt (* -1 (/ (- (/ 1 (* y z)) 1) z))>
#<alt (* -1 (/ (- (/ 1 (* y z)) 1) z))>
#<alt (/ -1 (* y (pow z 2)))>
#<alt (/ (- (/ y z) (/ 1 (pow z 2))) y)>
#<alt (/ (- (/ y z) (/ 1 (pow z 2))) y)>
#<alt (/ (- (/ y z) (/ 1 (pow z 2))) y)>
#<alt (/ 1 z)>
#<alt (- (/ 1 z) (/ 1 (* y (pow z 2))))>
#<alt (- (/ 1 z) (/ 1 (* y (pow z 2))))>
#<alt (- (/ 1 z) (/ 1 (* y (pow z 2))))>
#<alt (/ 1 z)>
#<alt (- (/ 1 z) (/ 1 (* y (pow z 2))))>
#<alt (- (/ 1 z) (/ 1 (* y (pow z 2))))>
#<alt (- (/ 1 z) (/ 1 (* y (pow z 2))))>
#<alt (* -1 (/ (* x (* y z)) (- (/ 1 (* y z)) 1)))>
#<alt (* -1 (/ (* x (* y z)) (- (/ 1 (* y z)) 1)))>
#<alt (* -1 (/ (* x (* y z)) (- (/ 1 (* y z)) 1)))>
#<alt (* -1 (/ (* x (* y z)) (- (/ 1 (* y z)) 1)))>
#<alt (* -1 (/ (* x (* y z)) (- (/ 1 (* y z)) 1)))>
#<alt (* -1 (/ (* x (* y z)) (- (/ 1 (* y z)) 1)))>
#<alt (* -1 (/ (* x (* y z)) (- (/ 1 (* y z)) 1)))>
#<alt (* -1 (/ (* x (* y z)) (- (/ 1 (* y z)) 1)))>
#<alt (* -1 (/ (* x (* y z)) (- (/ 1 (* y z)) 1)))>
#<alt (* -1 (/ (* x (* y z)) (- (/ 1 (* y z)) 1)))>
#<alt (* -1 (/ (* x (* y z)) (- (/ 1 (* y z)) 1)))>
#<alt (* -1 (/ (* x (* y z)) (- (/ 1 (* y z)) 1)))>
#<alt (* -1 (* x (* (pow y 2) (pow z 2))))>
#<alt (* (pow z 2) (+ (* -1 (* x (* (pow y 3) z))) (* -1 (* x (pow y 2)))))>
#<alt (* (pow z 2) (+ (* -1 (* x (pow y 2))) (* z (+ (* -1 (* x (* (pow y 4) z))) (* -1 (* x (pow y 3)))))))>
#<alt (* (pow z 2) (+ (* -1 (* x (pow y 2))) (* z (+ (* -1 (* x (pow y 3))) (* z (+ (* -1 (* x (* (pow y 5) z))) (* -1 (* x (pow y 4)))))))))>
#<alt (* x (* y z))>
#<alt (* z (+ (* x y) (/ x z)))>
#<alt (* z (+ (* x y) (+ (/ x z) (/ x (* y (pow z 2))))))>
#<alt (* z (+ (* x y) (+ (/ x z) (+ (/ x (* y (pow z 2))) (/ x (* (pow y 2) (pow z 3)))))))>
#<alt (* x (* y z))>
#<alt (* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* x y)) (* -1 (/ (- (/ x (* y z)) (* -1 x)) z)))))>
#<alt (* -1 (* z (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ x (* (pow y 2) z))) (/ x y)) z)) (* -1 x)) z)))))>
#<alt (* -1 (* x (* (pow y 2) (pow z 2))))>
#<alt (* (pow y 2) (+ (* -1 (* x (* y (pow z 3)))) (* -1 (* x (pow z 2)))))>
#<alt (* (pow y 2) (+ (* -1 (* x (pow z 2))) (* y (+ (* -1 (* x (* y (pow z 4)))) (* -1 (* x (pow z 3)))))))>
#<alt (* (pow y 2) (+ (* -1 (* x (pow z 2))) (* y (+ (* -1 (* x (pow z 3))) (* y (+ (* -1 (* x (* y (pow z 5)))) (* -1 (* x (pow z 4)))))))))>
#<alt (* x (* y z))>
#<alt (* y (+ (* x z) (/ x y)))>
#<alt (* y (+ (* x z) (+ (/ x y) (/ x (* (pow y 2) z)))))>
#<alt (* y (+ (* x z) (+ (/ x y) (+ (/ x (* (pow y 2) z)) (/ x (* (pow y 3) (pow z 2)))))))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- (/ x (* y z)) (* -1 x)) y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ x (* y (pow z 2)))) (/ x z)) y)) (* -1 x)) y)))))>
#<alt (/ -1 (* (pow y 2) (pow z 2)))>
#<alt (/ (- (/ z y) (/ 1 (pow y 2))) (pow z 2))>
#<alt (/ (- (/ z y) (/ 1 (pow y 2))) (pow z 2))>
#<alt (/ (- (/ z y) (/ 1 (pow y 2))) (pow z 2))>
#<alt (/ 1 (* y z))>
#<alt (/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z)>
#<alt (/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z)>
#<alt (/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z)>
#<alt (/ 1 (* y z))>
#<alt (* -1 (/ (- (/ 1 (* (pow y 2) z)) (/ 1 y)) z))>
#<alt (* -1 (/ (- (/ 1 (* (pow y 2) z)) (/ 1 y)) z))>
#<alt (* -1 (/ (- (/ 1 (* (pow y 2) z)) (/ 1 y)) z))>
#<alt (/ -1 (* (pow y 2) (pow z 2)))>
#<alt (/ (- (/ y z) (/ 1 (pow z 2))) (pow y 2))>
#<alt (/ (- (/ y z) (/ 1 (pow z 2))) (pow y 2))>
#<alt (/ (- (/ y z) (/ 1 (pow z 2))) (pow y 2))>
#<alt (/ 1 (* y z))>
#<alt (/ (- (/ 1 z) (/ 1 (* y (pow z 2)))) y)>
#<alt (/ (- (/ 1 z) (/ 1 (* y (pow z 2)))) y)>
#<alt (/ (- (/ 1 z) (/ 1 (* y (pow z 2)))) y)>
#<alt (/ 1 (* y z))>
#<alt (* -1 (/ (- (/ 1 (* y (pow z 2))) (/ 1 z)) y))>
#<alt (* -1 (/ (- (/ 1 (* y (pow z 2))) (/ 1 z)) y))>
#<alt (* -1 (/ (- (/ 1 (* y (pow z 2))) (/ 1 z)) y))>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
#<alt (/ 1 (* y z))>
Calls

90 calls:

TimeVariablePointExpression
49.0ms
z
@inf
(* (/ -1 z) (+ -1 (/ 1 (* y z))))
6.0ms
x
@0
(/ x (/ (* (/ -1 z) (+ -1 (/ 1 (* y z)))) y))
1.0ms
z
@0
(/ x (/ (* (/ -1 z) (+ -1 (/ 1 (* y z)))) y))
1.0ms
x
@inf
(/ x (/ (* (/ -1 z) (+ -1 (/ 1 (* y z)))) y))
1.0ms
y
@0
(/ x (/ (* (/ -1 z) (+ -1 (/ 1 (* y z)))) y))

rewrite574.0ms (5.5%)

Memory
-46.2MiB live, 454.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 140×accelerator-lowering-fma.f32
5 140×accelerator-lowering-fma.f64
3 446×/-lowering-/.f32
3 446×/-lowering-/.f64
3 306×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02085
112779
2102879
0897878
Stop Event
iter limit
node limit
Counts
13 → 601
Calls
Call 1
Inputs
(+ (* x (* z y)) x)
(* x (* z y))
(* z y)
(* (* x z) y)
(* x z)
(- x (* x z))
(/ x (/ 1 (* z y)))
(/ 1 (* z y))
(* (/ -1 z) (+ -1 (/ 1 (* y z))))
(/ x (/ (* (/ -1 z) (+ -1 (/ 1 (* y z)))) y))
(/ (* (/ -1 z) (+ -1 (/ 1 (* y z)))) y)
(/ -1 z)
(/ 1 (* y z))
Outputs
(+.f64 x (*.f64 x (*.f64 z y)))
(+.f64 (*.f64 x (*.f64 z y)) x)
(+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 z y)) (*.f64 x (*.f64 z y))) (-.f64 (*.f64 x (*.f64 z y)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 z y)) x))))
(-.f64 x (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 z y))))
(-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 z y)) (*.f64 x (*.f64 z y))) (-.f64 (*.f64 x (*.f64 z y)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 z y)) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x (*.f64 z y)))) (/.f64 (*.f64 (*.f64 x (*.f64 z y)) (*.f64 x (*.f64 z y))) (-.f64 x (*.f64 x (*.f64 z y)))))
(fma.f64 x (*.f64 z y) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 z y)))
(fma.f64 z (*.f64 x y) x)
(fma.f64 z (*.f64 y x) x)
(fma.f64 y (*.f64 x z) x)
(fma.f64 (*.f64 z y) x x)
(fma.f64 (*.f64 x (*.f64 z y)) #s(literal 1 binary64) x)
(fma.f64 (*.f64 x z) y x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 z y)))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y)) x)
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 z y)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 z y))) x)
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y))))) x)
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64) (*.f64 x (*.f64 z y)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 z y)) x)
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 z y)) (-.f64 #s(literal 0 binary64) x) x)
(fma.f64 (*.f64 (*.f64 x (*.f64 z y)) (*.f64 x (*.f64 z y))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 z y)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 z y)) x))))
(fma.f64 (*.f64 x y) z x)
(fma.f64 (*.f64 y x) z x)
(fma.f64 (/.f64 x (pow.f64 (*.f64 z y) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z y) #s(literal -1/2 binary64))) x)
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y))) #s(literal -1/2 binary64)) x)
(neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 z y)) (*.f64 (*.f64 x (*.f64 z y)) (*.f64 x (*.f64 z y)))) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 z y)) (*.f64 x (*.f64 z y))) (*.f64 x (-.f64 x (*.f64 x (*.f64 z y))))))))
(neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 (*.f64 z y) #s(literal 1 binary64)) x) (-.f64 (*.f64 x (*.f64 z y)) x)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 z y))) x)))
(/.f64 (*.f64 (+.f64 (*.f64 z y) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 z y) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 z y) #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 z y)) (*.f64 x (*.f64 z y))) (*.f64 x (*.f64 x (*.f64 z y))))) (+.f64 (*.f64 (*.f64 x (*.f64 z y)) (*.f64 (*.f64 x (*.f64 z y)) (*.f64 x (*.f64 z y)))) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 x (*.f64 z y))) (*.f64 (*.f64 (+.f64 (*.f64 z y) #s(literal 1 binary64)) x) (-.f64 x (*.f64 x (*.f64 z y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (*.f64 z y) #s(literal 1 binary64)) x))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 z y)) (*.f64 (*.f64 x (*.f64 z y)) (*.f64 x (*.f64 z y)))) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (*.f64 x (*.f64 z y)) (*.f64 x (*.f64 z y))) (*.f64 x (-.f64 x (*.f64 x (*.f64 z y))))))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 z y)) (*.f64 (*.f64 x (*.f64 z y)) (*.f64 x (*.f64 z y)))) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 z y)) (*.f64 x (*.f64 z y))) (*.f64 x (*.f64 x (*.f64 z y))))))
(/.f64 (*.f64 (*.f64 (+.f64 (*.f64 z y) #s(literal 1 binary64)) x) (-.f64 (*.f64 x (*.f64 z y)) x)) (-.f64 (*.f64 x (*.f64 z y)) x))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 z y)) (*.f64 (*.f64 x (*.f64 z y)) (*.f64 x (*.f64 z y)))) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 z y)) (*.f64 x (*.f64 z y))) (*.f64 x (-.f64 x (*.f64 x (*.f64 z y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 z y)) (*.f64 (*.f64 x (*.f64 z y)) (*.f64 x (*.f64 z y)))) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 z y)) (*.f64 x (*.f64 z y))) (*.f64 x (*.f64 x (*.f64 z y)))))))
(/.f64 (*.f64 (*.f64 (+.f64 (*.f64 z y) #s(literal 1 binary64)) x) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 z y))) x)) (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 z y))) x))
(/.f64 (*.f64 (*.f64 (+.f64 (*.f64 z y) #s(literal 1 binary64)) x) (-.f64 x (*.f64 x (*.f64 z y)))) (-.f64 x (*.f64 x (*.f64 z y))))
(/.f64 (+.f64 (*.f64 z y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y))))
(/.f64 (+.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y))))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y)))))
(/.f64 (+.f64 (*.f64 x (/.f64 #s(literal -1 binary64) (*.f64 z y))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal -1 binary64) (*.f64 z y)))
(/.f64 (+.f64 (*.f64 x (/.f64 #s(literal 1 binary64) (*.f64 z y))) x) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (*.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y))))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (*.f64 z y)))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y)))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y)))) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y))))))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 z y)) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 z y))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 z y))) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 z y)))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 z y)))) #s(literal -1 binary64))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y)))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y))))) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y))))))
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 z y))) x) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(/.f64 (+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) x)) (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(/.f64 (+.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 z y))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y))))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 z y)) (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal -1 binary64) (*.f64 z y)))
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 z y)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 z y))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y))) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y))) (-.f64 #s(literal 0 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y))) #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y)))) x)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y)))) #s(literal 1 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y)))) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 z y)))) (/.f64 #s(literal 1 binary64) x)))
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simplify597.0ms (5.7%)

Memory
34.8MiB live, 830.6MiB allocated
Algorithm
egg-herbie
Rules
10 450×accelerator-lowering-fma.f32
10 450×accelerator-lowering-fma.f64
3 984×*-lowering-*.f32
3 984×*-lowering-*.f64
3 256×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02032368
16932332
223272285
360942264
080412212
Stop Event
iter limit
node limit
Counts
360 → 360
Calls
Call 1
Inputs
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(* (pow y 2) (+ (* -1 (* x (pow z 2))) (* y (+ (* -1 (* x (pow z 3))) (* y (+ (* -1 (* x (* y (pow z 5)))) (* -1 (* x (pow z 4)))))))))
(* x (* y z))
(* y (+ (* x z) (/ x y)))
(* y (+ (* x z) (+ (/ x y) (/ x (* (pow y 2) z)))))
(* y (+ (* x z) (+ (/ x y) (+ (/ x (* (pow y 2) z)) (/ x (* (pow y 3) (pow z 2)))))))
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- (/ x (* y z)) (* -1 x)) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ x (* y (pow z 2)))) (/ x z)) y)) (* -1 x)) y)))))
(/ -1 (* (pow y 2) (pow z 2)))
(/ (- (/ z y) (/ 1 (pow y 2))) (pow z 2))
(/ (- (/ z y) (/ 1 (pow y 2))) (pow z 2))
(/ (- (/ z y) (/ 1 (pow y 2))) (pow z 2))
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(/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z)
(/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z)
(/ 1 (* y z))
(* -1 (/ (- (/ 1 (* (pow y 2) z)) (/ 1 y)) z))
(* -1 (/ (- (/ 1 (* (pow y 2) z)) (/ 1 y)) z))
(* -1 (/ (- (/ 1 (* (pow y 2) z)) (/ 1 y)) z))
(/ -1 (* (pow y 2) (pow z 2)))
(/ (- (/ y z) (/ 1 (pow z 2))) (pow y 2))
(/ (- (/ y z) (/ 1 (pow z 2))) (pow y 2))
(/ (- (/ y z) (/ 1 (pow z 2))) (pow y 2))
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(/ (- (/ 1 z) (/ 1 (* y (pow z 2)))) y)
(/ (- (/ 1 z) (/ 1 (* y (pow z 2)))) y)
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(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
(/ -1 z)
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(/ 1 (* y z))
(/ 1 (* y z))
(/ 1 (* y z))
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(/ 1 (* y z))
(/ 1 (* y z))
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(/ 1 (* y z))
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(/ 1 (* y z))
(/ 1 (* y z))
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Outputs
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x
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(/.f64 (*.f64 x (*.f64 y z)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))))
(* -1 (/ (* x (* y z)) (- (/ 1 (* y z)) 1)))
(/.f64 (*.f64 x (*.f64 y z)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))))
(* -1 (/ (* x (* y z)) (- (/ 1 (* y z)) 1)))
(/.f64 (*.f64 x (*.f64 y z)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))))
(* -1 (/ (* x (* y z)) (- (/ 1 (* y z)) 1)))
(/.f64 (*.f64 x (*.f64 y z)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))))
(* -1 (/ (* x (* y z)) (- (/ 1 (* y z)) 1)))
(/.f64 (*.f64 x (*.f64 y z)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))))
(* -1 (/ (* x (* y z)) (- (/ 1 (* y z)) 1)))
(/.f64 (*.f64 x (*.f64 y z)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))))
(* -1 (/ (* x (* y z)) (- (/ 1 (* y z)) 1)))
(/.f64 (*.f64 x (*.f64 y z)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))))
(* -1 (/ (* x (* y z)) (- (/ 1 (* y z)) 1)))
(/.f64 (*.f64 x (*.f64 y z)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))))
(* -1 (/ (* x (* y z)) (- (/ 1 (* y z)) 1)))
(/.f64 (*.f64 x (*.f64 y z)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))))
(* -1 (/ (* x (* y z)) (- (/ 1 (* y z)) 1)))
(/.f64 (*.f64 x (*.f64 y z)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))))
(* -1 (/ (* x (* y z)) (- (/ 1 (* y z)) 1)))
(/.f64 (*.f64 x (*.f64 y z)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))))
(* -1 (/ (* x (* y z)) (- (/ 1 (* y z)) 1)))
(/.f64 (*.f64 x (*.f64 y z)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))))
(* -1 (* x (* (pow y 2) (pow z 2))))
(*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 y (*.f64 y z)))))
(* (pow z 2) (+ (* -1 (* x (* (pow y 3) z))) (* -1 (* x (pow y 2)))))
(*.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (*.f64 x z))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 y y)))
(* (pow z 2) (+ (* -1 (* x (pow y 2))) (* z (+ (* -1 (* x (* (pow y 4) z))) (* -1 (* x (pow y 3)))))))
(*.f64 (*.f64 z z) (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 z (*.f64 z (pow.f64 y #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 y y)))))
(* (pow z 2) (+ (* -1 (* x (pow y 2))) (* z (+ (* -1 (* x (pow y 3))) (* z (+ (* -1 (* x (* (pow y 5) z))) (* -1 (* x (pow y 4)))))))))
(*.f64 (*.f64 z z) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 y y))) (*.f64 (*.f64 x (+.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 z (pow.f64 y #s(literal 5 binary64))))) (*.f64 z z))))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* z (+ (* x y) (/ x z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y z)))
(* z (+ (* x y) (+ (/ x z) (/ x (* y (pow z 2))))))
(-.f64 (*.f64 x (*.f64 y z)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) y) x) #s(literal 1 binary64)))
(* z (+ (* x y) (+ (/ x z) (+ (/ x (* y (pow z 2))) (/ x (* (pow y 2) (pow z 3)))))))
(+.f64 (*.f64 x (*.f64 y z)) (+.f64 x (/.f64 (/.f64 (+.f64 x (/.f64 x (*.f64 y z))) z) y)))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 y z)))
(* -1 (* z (+ (* -1 (* x y)) (* -1 (/ (- (/ x (* y z)) (* -1 x)) z)))))
(-.f64 (*.f64 x (*.f64 y z)) (*.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) y) x) #s(literal 1 binary64)))
(* -1 (* z (+ (* -1 (* x y)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ x (* (pow y 2) z))) (/ x y)) z)) (* -1 x)) z)))))
(+.f64 (*.f64 x (*.f64 y z)) (+.f64 x (/.f64 (/.f64 (+.f64 x (/.f64 x (*.f64 y z))) z) y)))
(* -1 (* x (* (pow y 2) (pow z 2))))
(*.f64 x (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 y (*.f64 y z)))))
(* (pow y 2) (+ (* -1 (* x (* y (pow z 3)))) (* -1 (* x (pow z 2)))))
(*.f64 (*.f64 y y) (*.f64 (*.f64 z z) (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 y z)))))
(* (pow y 2) (+ (* -1 (* x (pow z 2))) (* y (+ (* -1 (* x (* y (pow z 4)))) (* -1 (* x (pow z 3)))))))
(*.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 y (*.f64 y (pow.f64 z #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y z)) (*.f64 z z)))))
(* (pow y 2) (+ (* -1 (* x (pow z 2))) (* y (+ (* -1 (* x (pow z 3))) (* y (+ (* -1 (* x (* y (pow z 5)))) (* -1 (* x (pow z 4)))))))))
(*.f64 (*.f64 y y) (-.f64 (*.f64 (*.f64 z z) (*.f64 x (-.f64 #s(literal -1 binary64) (*.f64 y z)))) (*.f64 (*.f64 y y) (*.f64 x (+.f64 (pow.f64 z #s(literal 4 binary64)) (*.f64 y (pow.f64 z #s(literal 5 binary64))))))))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* y (+ (* x z) (/ x y)))
(*.f64 y (+.f64 (*.f64 x z) (/.f64 x y)))
(* y (+ (* x z) (+ (/ x y) (/ x (* (pow y 2) z)))))
(*.f64 y (+.f64 (*.f64 x z) (/.f64 (+.f64 x (/.f64 x (*.f64 y z))) y)))
(* y (+ (* x z) (+ (/ x y) (+ (/ x (* (pow y 2) z)) (/ x (* (pow y 3) (pow z 2)))))))
(*.f64 y (+.f64 (*.f64 x z) (/.f64 (+.f64 x (/.f64 (/.f64 (+.f64 x (/.f64 x (*.f64 y z))) z) y)) y)))
(* x (* y z))
(*.f64 x (*.f64 y z))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))
(*.f64 y (+.f64 (*.f64 x z) (/.f64 x y)))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- (/ x (* y z)) (* -1 x)) y)))))
(*.f64 y (+.f64 (*.f64 x z) (/.f64 (+.f64 x (/.f64 x (*.f64 y z))) y)))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- (* -1 (/ (- (* -1 (/ x (* y (pow z 2)))) (/ x z)) y)) (* -1 x)) y)))))
(*.f64 y (+.f64 (*.f64 x z) (/.f64 (+.f64 x (/.f64 (/.f64 (+.f64 x (/.f64 x (*.f64 y z))) z) y)) y)))
(/ -1 (* (pow y 2) (pow z 2)))
(/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 y (*.f64 y z))))
(/ (- (/ z y) (/ 1 (pow y 2))) (pow z 2))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))) z) y)
(/ (- (/ z y) (/ 1 (pow y 2))) (pow z 2))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))) z) y)
(/ (- (/ z y) (/ 1 (pow y 2))) (pow z 2))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))) z) y)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))) z) y)
(/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))) z) y)
(/ (- (/ 1 y) (/ 1 (* (pow y 2) z))) z)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))) z) y)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(* -1 (/ (- (/ 1 (* (pow y 2) z)) (/ 1 y)) z))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))) z) y)
(* -1 (/ (- (/ 1 (* (pow y 2) z)) (/ 1 y)) z))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))) z) y)
(* -1 (/ (- (/ 1 (* (pow y 2) z)) (/ 1 y)) z))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))) z) y)
(/ -1 (* (pow y 2) (pow z 2)))
(/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 y (*.f64 y z))))
(/ (- (/ y z) (/ 1 (pow z 2))) (pow y 2))
(/.f64 (+.f64 (/.f64 y z) (/.f64 (/.f64 #s(literal -1 binary64) z) z)) (*.f64 y y))
(/ (- (/ y z) (/ 1 (pow z 2))) (pow y 2))
(/.f64 (+.f64 (/.f64 y z) (/.f64 (/.f64 #s(literal -1 binary64) z) z)) (*.f64 y y))
(/ (- (/ y z) (/ 1 (pow z 2))) (pow y 2))
(/.f64 (+.f64 (/.f64 y z) (/.f64 (/.f64 #s(literal -1 binary64) z) z)) (*.f64 y y))
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ (- (/ 1 z) (/ 1 (* y (pow z 2)))) y)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))) z) y)
(/ (- (/ 1 z) (/ 1 (* y (pow z 2)))) y)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))) z) y)
(/ (- (/ 1 z) (/ 1 (* y (pow z 2)))) y)
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))) z) y)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(* -1 (/ (- (/ 1 (* y (pow z 2))) (/ 1 z)) y))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))) z) y)
(* -1 (/ (- (/ 1 (* y (pow z 2))) (/ 1 z)) y))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))) z) y)
(* -1 (/ (- (/ 1 (* y (pow z 2))) (/ 1 z)) y))
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y z))) z) y)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)
(/ 1 (* y z))
(/.f64 (/.f64 #s(literal 1 binary64) y) z)

eval263.0ms (2.5%)

Memory
-3.3MiB live, 315.7MiB allocated
Compiler

Compiled 15 533 to 1 925 computations (87.6% saved)

prune102.0ms (1%)

Memory
-13.7MiB live, 298.6MiB allocated
Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New1 04511 046
Fresh000
Picked235
Done055
Total1 04791 056
Accuracy
100.0%
Counts
1 056 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.2%
(/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) z) y))
70.5%
(-.f64 x (*.f64 x z))
70.9%
(+.f64 (*.f64 x (*.f64 z y)) x)
58.9%
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))
35.4%
(*.f64 (*.f64 x z) y)
33.3%
(*.f64 z (*.f64 x y))
70.5%
(*.f64 x (-.f64 #s(literal 1 binary64) z))
33.2%
(*.f64 x (*.f64 z y))
40.9%
x
Compiler

Compiled 247 to 110 computations (55.5% saved)

regimes47.0ms (0.5%)

Memory
23.0MiB live, 133.8MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
x
(*.f64 x (*.f64 z y))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 z (*.f64 x y))
(*.f64 (*.f64 x z) y)
(-.f64 x (*.f64 x z))
(+.f64 (neg.f64 (*.f64 z x)) x)
(*.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64))))
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))
(+.f64 (*.f64 x (*.f64 z y)) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) z) y))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
(+.f64 (*.f64 z (*.f64 (+.f64 y #s(literal -1 binary64)) x)) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z y))))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) y)))))
(/.f64 x (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y z)))) y))
(/.f64 x (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) z) y)) y))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) y))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) y)) (*.f64 z (+.f64 y #s(literal -1 binary64))))))))
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
Calls

7 calls:

8.0ms
x
7.0ms
z
7.0ms
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
6.0ms
y
6.0ms
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
Results
AccuracySegmentsBranch
98.4%1x
98.4%1y
98.4%1z
98.4%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
98.4%1(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
98.4%1(*.f64 (-.f64 #s(literal 1 binary64) y) z)
98.4%1(-.f64 #s(literal 1 binary64) y)
Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes23.0ms (0.2%)

Memory
-10.2MiB live, 42.7MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
x
(*.f64 x (*.f64 z y))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 z (*.f64 x y))
(*.f64 (*.f64 x z) y)
(-.f64 x (*.f64 x z))
(+.f64 (neg.f64 (*.f64 z x)) x)
(*.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64))))
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))
(+.f64 (*.f64 x (*.f64 z y)) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 z y)))
(/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) z) y))
Outputs
(+.f64 (*.f64 x (*.f64 z y)) x)
(-.f64 x (*.f64 x z))
(+.f64 (*.f64 x (*.f64 z y)) x)
Calls

3 calls:

14.0ms
y
4.0ms
z
4.0ms
x
Results
AccuracySegmentsBranch
74.8%3x
98.3%3y
97.9%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

Memory
-13.3MiB live, 26.3MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
x
(*.f64 x (*.f64 z y))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 z (*.f64 x y))
(*.f64 (*.f64 x z) y)
(-.f64 x (*.f64 x z))
(+.f64 (neg.f64 (*.f64 z x)) x)
(*.f64 x (*.f64 z (+.f64 y #s(literal -1 binary64))))
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))
Outputs
(*.f64 z (*.f64 x y))
(-.f64 x (*.f64 x z))
(*.f64 z (*.f64 x y))
Calls

2 calls:

4.0ms
z
3.0ms
y
Results
AccuracySegmentsBranch
90.5%3z
90.5%3y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0%)

Memory
7.8MiB live, 7.8MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
x
(*.f64 x (*.f64 z y))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 z (*.f64 x y))
(*.f64 (*.f64 x z) y)
Outputs
(*.f64 z (*.f64 x y))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 z (*.f64 x y))
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
90.5%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

Memory
12.4MiB live, 12.4MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
x
(*.f64 x (*.f64 z y))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
Outputs
(*.f64 x (*.f64 z y))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 x (*.f64 z y))
Calls

2 calls:

2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
72.3%2z
90.1%3y
Compiler

Compiled 8 to 6 computations (25% saved)

regimes5.0ms (0.1%)

Memory
-24.3MiB live, 15.3MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
x
(*.f64 x (*.f64 z y))
Outputs
(*.f64 x (*.f64 z y))
x
(*.f64 x (*.f64 z y))
Calls

3 calls:

2.0ms
z
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
62.6%3z
40.9%1x
61.4%3y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Memory
10.0MiB live, 10.0MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
y
1.0ms
z
Results
AccuracySegmentsBranch
40.9%1y
40.9%1z
Compiler

Compiled 8 to 6 computations (25% saved)

bsearch28.0ms (0.3%)

Memory
-6.8MiB live, 73.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
1.4377829771129858e-18
1.2684273072554904e-13
12.0ms
-1.85189289082922e+30
-253257691736523700.0
Samples
14.0ms304×0valid
Compiler

Compiled 395 to 261 computations (33.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 3.0ms (46.6% of total)
ival-mult: 3.0ms (46.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Memory
22.6MiB live, 62.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
5.2345417738765994e+35
3.249605884879749e+38
11.0ms
-9.454499570725018e+129
-1.3272383274173614e+125
Samples
12.0ms272×0valid
Compiler

Compiled 321 to 218 computations (32.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 3.0ms (49.7% of total)
ival-mult: 3.0ms (49.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch81.0ms (0.8%)

Memory
9.4MiB live, 48.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
5.2345417738765994e+35
3.249605884879749e+38
69.0ms
-9.454499570725018e+129
-1.3272383274173614e+125
Samples
70.0ms272×0valid
Compiler

Compiled 321 to 235 computations (26.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 3.0ms (50.9% of total)
ival-mult: 3.0ms (50.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch132.0ms (1.3%)

Memory
-32.3MiB live, 48.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
67.0ms
5.2345417738765994e+35
3.249605884879749e+38
63.0ms
-9.454499570725018e+129
-1.3272383274173614e+125
Samples
12.0ms272×0valid
Compiler

Compiled 321 to 235 computations (26.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (52.4% of total)
ival-sub: 2.0ms (34.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch72.0ms (0.7%)

Memory
7.5MiB live, 46.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
59.0ms
7.901973361998266e-135
7.226011803160858e-134
11.0ms
-3.1726495508678973e-15
-2.0970162892286215e-21
Samples
62.0ms240×0valid
Compiler

Compiled 225 to 164 computations (27.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-sub: 54.0ms (94.9% of total)
ival-mult: 3.0ms (5.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify74.0ms (0.7%)

Memory
-5.1MiB live, 34.4MiB allocated
Algorithm
egg-herbie
Rules
178×unsub-neg_binary64
174×distribute-lft-neg-in_binary64
132×neg-mul-1_binary64
86×cancel-sign-sub_binary64
86×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047103
188103
2116103
3137103
4174103
5256103
6337103
7397103
8473103
9537103
10580103
11622103
12652103
13664103
14666103
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
(if (<=.f64 y #s(literal -255000000000000000 binary64)) (+.f64 (*.f64 x (*.f64 z y)) x) (if (<=.f64 y #s(literal 4951760157141521/39614081257132168796771975168 binary64)) (-.f64 x (*.f64 x z)) (+.f64 (*.f64 x (*.f64 z y)) x)))
(if (<=.f64 y #s(literal -35999999999999997896466319473845059871315184092124463619986867520640478100195037669959396204801197061762025689392387138357559296 binary64)) (*.f64 z (*.f64 x y)) (if (<=.f64 y #s(literal 15000000000000001079031418379298668544 binary64)) (-.f64 x (*.f64 x z)) (*.f64 z (*.f64 x y))))
(if (<=.f64 y #s(literal -980000000000000031585114094880753011142508188600440518641019643873518523662912690714064549022019567850214584883020317467869184 binary64)) (*.f64 z (*.f64 x y)) (if (<=.f64 y #s(literal 1159999999999999978372442110816157696 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 x y))))
(if (<=.f64 y #s(literal -920000000000000051123720927493712747082503755862107186159034398553248044191027326924012500129744546792796371040720684935282688 binary64)) (*.f64 x (*.f64 z y)) (if (<=.f64 y #s(literal 3499999999999999779537349334871834624 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 x (*.f64 z y))))
(if (<=.f64 z #s(literal -3219224052291593/10384593717069655257060992658440192 binary64)) (*.f64 x (*.f64 z y)) (if (<=.f64 z #s(literal 7365128867766319/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168 binary64)) x (*.f64 x (*.f64 z y))))
x
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64)))))
(if (<=.f64 y #s(literal -255000000000000000 binary64)) (+.f64 (*.f64 x (*.f64 z y)) x) (if (<=.f64 y #s(literal 4951760157141521/39614081257132168796771975168 binary64)) (-.f64 x (*.f64 x z)) (+.f64 (*.f64 x (*.f64 z y)) x)))
(if (<=.f64 y #s(literal -255000000000000000 binary64)) (+.f64 x (*.f64 x (*.f64 y z))) (if (<=.f64 y #s(literal 4951760157141521/39614081257132168796771975168 binary64)) (-.f64 x (*.f64 x z)) (+.f64 x (*.f64 x (*.f64 y z)))))
(if (<=.f64 y #s(literal -35999999999999997896466319473845059871315184092124463619986867520640478100195037669959396204801197061762025689392387138357559296 binary64)) (*.f64 z (*.f64 x y)) (if (<=.f64 y #s(literal 15000000000000001079031418379298668544 binary64)) (-.f64 x (*.f64 x z)) (*.f64 z (*.f64 x y))))
(if (<=.f64 y #s(literal -980000000000000031585114094880753011142508188600440518641019643873518523662912690714064549022019567850214584883020317467869184 binary64)) (*.f64 z (*.f64 x y)) (if (<=.f64 y #s(literal 1159999999999999978372442110816157696 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 z (*.f64 x y))))
(if (<=.f64 y #s(literal -920000000000000051123720927493712747082503755862107186159034398553248044191027326924012500129744546792796371040720684935282688 binary64)) (*.f64 x (*.f64 z y)) (if (<=.f64 y #s(literal 3499999999999999779537349334871834624 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 x (*.f64 z y))))
(if (<=.f64 y #s(literal -920000000000000051123720927493712747082503755862107186159034398553248044191027326924012500129744546792796371040720684935282688 binary64)) (*.f64 x (*.f64 y z)) (if (<=.f64 y #s(literal 3499999999999999779537349334871834624 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 x (*.f64 y z))))
(if (<=.f64 z #s(literal -3219224052291593/10384593717069655257060992658440192 binary64)) (*.f64 x (*.f64 z y)) (if (<=.f64 z #s(literal 7365128867766319/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168 binary64)) x (*.f64 x (*.f64 z y))))
(if (<=.f64 z #s(literal -3219224052291593/10384593717069655257060992658440192 binary64)) (*.f64 x (*.f64 y z)) (if (<=.f64 z #s(literal 7365128867766319/102293456496754433437912178025862473506770063938845774671352855253004181137646079840102190385184504910965208878986252219038039267058918532916516487168 binary64)) x (*.f64 x (*.f64 y z))))
x

soundness2.3s (22.5%)

Memory
44.6MiB live, 3 212.7MiB allocated
Rules
13 736×accelerator-lowering-fma.f32
13 736×accelerator-lowering-fma.f64
7 100×accelerator-lowering-fma.f32
7 100×accelerator-lowering-fma.f64
5 072×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01759
19056
259356
3601756
0860952
074613
1234592
2628592
31395592
44058592
56308592
67495592
08014544
01870
111468
292268
0857362
02542245
18442117
225942030
083951900
0824
14224
232424
3353824
0942222
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 256 to 134 computations (47.7% saved)

preprocess63.0ms (0.6%)

Memory
-5.8MiB live, 155.7MiB allocated
Remove

(negabs x)

Compiler

Compiled 444 to 194 computations (56.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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