Optimisation.CirclePacking:place from circle-packing-0.1.0.4, H

Time bar (total: 10.0s)

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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 9 to 9 computations (0% saved)

sample1.1s (11.1%)

Memory
30.4MiB live, 1 024.9MiB allocated
Samples
809.0ms8 254×0valid
0.0ms2valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 283.0ms
ival-mult: 149.0ms (52.7% of total)
ival-sub: 75.0ms (26.5% of total)
ival-add: 45.0ms (15.9% of total)
exact: 5.0ms (1.8% of total)
ival-true: 5.0ms (1.8% of total)
ival-assert: 3.0ms (1.1% of total)
adjust: 0.0ms (0% of total)
Bogosity

preprocess324.0ms (3.3%)

Memory
26.6MiB live, 142.5MiB allocated
Algorithm
egg-herbie
Rules
1 552×accelerator-lowering-fma.f32
1 552×accelerator-lowering-fma.f64
1 328×unsub-neg
910×sub-neg
658×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02775
16971
223370
384170
4261270
5441670
6543670
7569070
8574270
9576570
10576870
11583170
12583970
13583970
14583970
15587770
16587770
077
1137
2317
3737
42157
55057
68277
713137
816287
916857
1016857
016857
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(* (+ x y) (- 1 z))
Outputs
(* (+ x y) (- 1 z))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
Call 2
Inputs
(* (+ x y) (- 1 z))
(* (+ (neg x) y) (- 1 z))
(* (+ x (neg y)) (- 1 z))
(* (+ x y) (- 1 (neg z)))
(neg (* (+ (neg x) y) (- 1 z)))
(neg (* (+ x (neg y)) (- 1 z)))
(neg (* (+ x y) (- 1 (neg z))))
(* (+ y x) (- 1 z))
(* (+ z y) (- 1 x))
(* (+ x z) (- 1 y))
Outputs
(* (+ x y) (- 1 z))
(* (+ (neg x) y) (- 1 z))
(* (- 1 z) (- y x))
(* (+ x (neg y)) (- 1 z))
(* (- 1 z) (- x y))
(* (+ x y) (- 1 (neg z)))
(* (+ x y) (+ 1 z))
(neg (* (+ (neg x) y) (- 1 z)))
(* (- 1 z) (- x y))
(neg (* (+ x (neg y)) (- 1 z)))
(* (- 1 z) (- y x))
(neg (* (+ x y) (- 1 (neg z))))
(* (+ x y) (- -1 z))
(* (+ y x) (- 1 z))
(* (+ x y) (- 1 z))
(* (+ z y) (- 1 x))
(* (+ y z) (- 1 x))
(* (+ x z) (- 1 y))
Symmetry

(sort x y)

explain109.0ms (1.1%)

Memory
-29.6MiB live, 119.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
00-0-y
00-0-(-.f64 #s(literal 1 binary64) z)
00-0-#s(literal 1 binary64)
00-0-(+.f64 x y)
00-0-z
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
29.0ms512×0valid
Compiler

Compiled 58 to 32 computations (44.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sub: 3.0ms (32.6% of total)
ival-add: 3.0ms (32.6% of total)
ival-mult: 3.0ms (32.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Compiler

Compiled 10 to 7 computations (30% saved)

simplify107.0ms (1.1%)

Memory
-9.9MiB live, 111.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff-64
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff0
(+.f64 x y)
Rules
1 552×accelerator-lowering-fma.f32
1 552×accelerator-lowering-fma.f64
368×*-lowering-*.f32
368×*-lowering-*.f64
344×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
11317
23117
37317
421517
550517
682717
7131317
8162817
9168517
10168517
0168517
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* (+ x y) (- 1 z))
(+ x y)
x
y
(- 1 z)
1
z
Outputs
(* (+ x y) (- 1 z))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(+ x y)
(+.f64 x y)
x
y
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
z

localize20.0ms (0.2%)

Memory
16.9MiB live, 55.4MiB allocated
Localize:

Found 3 expressions of interest:

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

Compiled 19 to 9 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 3.0ms (50.3% of total)
ival-mult: 2.0ms (33.5% of total)
ival-add: 1.0ms (16.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
-27.8MiB live, 10.7MiB allocated
Counts
3 → 72
Calls
Call 1
Inputs
#<alt (+ x y)>
#<alt (- 1 z)>
#<alt (* (+ x y) (- 1 z))>
Outputs
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<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 (* y (- 1 z))>
#<alt (+ (* x (- 1 z)) (* y (- 1 z)))>
#<alt (+ (* x (- 1 z)) (* y (- 1 z)))>
#<alt (+ (* x (- 1 z)) (* y (- 1 z)))>
#<alt (* x (- 1 z))>
#<alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z))>
#<alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z))>
#<alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z))>
#<alt (* x (- 1 z))>
#<alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))>
#<alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))>
#<alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))>
#<alt (* x (- 1 z))>
#<alt (+ (* x (- 1 z)) (* y (- 1 z)))>
#<alt (+ (* x (- 1 z)) (* y (- 1 z)))>
#<alt (+ (* x (- 1 z)) (* y (- 1 z)))>
#<alt (* y (- 1 z))>
#<alt (* y (- (+ 1 (/ (* x (- 1 z)) y)) z))>
#<alt (* y (- (+ 1 (/ (* x (- 1 z)) y)) z))>
#<alt (* y (- (+ 1 (/ (* x (- 1 z)) y)) z))>
#<alt (* y (- 1 z))>
#<alt (* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))>
#<alt (* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))>
#<alt (* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))>
#<alt (+ x y)>
#<alt (+ x (+ y (* -1 (* z (+ x y)))))>
#<alt (+ x (+ y (* -1 (* z (+ x y)))))>
#<alt (+ x (+ y (* -1 (* z (+ x y)))))>
#<alt (* -1 (* z (+ x y)))>
#<alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))>
#<alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))>
#<alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))>
#<alt (* -1 (* z (+ x y)))>
#<alt (* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))>
#<alt (* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))>
#<alt (* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))>
Calls

18 calls:

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

rewrite391.0ms (3.9%)

Memory
1.8MiB live, 725.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 758×*-lowering-*.f32
5 758×*-lowering-*.f64
3 972×/-lowering-/.f32
3 972×/-lowering-/.f64
2 508×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
13813
230413
3402713
0959313
Stop Event
iter limit
node limit
Counts
3 → 835
Calls
Call 1
Inputs
(+ x y)
(- 1 z)
(* (+ x y) (- 1 z))
Outputs
(+.f64 x y)
(+.f64 y x)
(+.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64)))
(+.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) y))
(+.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(fma.f64 x #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64)))
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 y #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 1 binary64) x))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (fma.f64 x x (*.f64 y (+.f64 x y))) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(neg.f64 (/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 y (-.f64 y x))))))
(neg.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 #s(literal 0 binary64) (-.f64 x y))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(neg.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y))) (-.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x))))
(/.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y))) (-.f64 #s(literal 0 binary64) (-.f64 x y)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x))
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (*.f64 (fma.f64 x x (*.f64 y (-.f64 y x))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))))
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) (*.f64 (-.f64 x y) (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 x x)))))
(/.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) (*.f64 (-.f64 x y) (fma.f64 x x (*.f64 y y))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (*.f64 (-.f64 x y) (-.f64 x y)))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))))) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y)) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (*.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x (*.f64 y (+.f64 x y))) (-.f64 x y))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 x x (*.f64 y y)) (*.f64 (*.f64 x x) (*.f64 x x))) (-.f64 x y)))
(/.f64 (*.f64 (*.f64 (fma.f64 x x (*.f64 y y)) (*.f64 (+.f64 x y) (-.f64 x y))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y))
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (-.f64 x y)))
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64)) (-.f64 y x))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x)))) (fma.f64 x x (*.f64 y (-.f64 y x))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (-.f64 #s(literal 0 binary64) (-.f64 x y)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y y) (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 y (-.f64 y x))))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) (-.f64 x y)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 x y))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)))) (*.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))) (fma.f64 x (/.f64 x (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))
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(*.f64 (/.f64 (*.f64 (+.f64 x y) (fma.f64 z (*.f64 z z) #s(literal 1 binary64))) (fma.f64 (fma.f64 z z z) (*.f64 (fma.f64 z z z) (fma.f64 z z z)) #s(literal 1 binary64))) (fma.f64 (fma.f64 z z z) (-.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (fma.f64 z (*.f64 z z) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z z z) (fma.f64 z z z)))) (-.f64 #s(literal 1 binary64) (fma.f64 z z z)))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (fma.f64 z (*.f64 z z) #s(literal 1 binary64))) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)))

simplify470.0ms (4.7%)

Memory
3.3MiB live, 606.9MiB allocated
Algorithm
egg-herbie
Rules
12 146×accelerator-lowering-fma.f32
12 146×accelerator-lowering-fma.f64
2 722×*-lowering-*.f32
2 722×*-lowering-*.f64
2 196×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065326
1213326
2683326
32185326
45144326
57956326
08679326
Stop Event
iter limit
node limit
Counts
72 → 72
Calls
Call 1
Inputs
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
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))))
(* y (- 1 z))
(+ (* x (- 1 z)) (* y (- 1 z)))
(+ (* x (- 1 z)) (* y (- 1 z)))
(+ (* x (- 1 z)) (* y (- 1 z)))
(* x (- 1 z))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(* x (- 1 z))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(* x (- 1 z))
(+ (* x (- 1 z)) (* y (- 1 z)))
(+ (* x (- 1 z)) (* y (- 1 z)))
(+ (* x (- 1 z)) (* y (- 1 z)))
(* y (- 1 z))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(* y (- 1 z))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(+ x y)
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* -1 (* z (+ x y)))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
Outputs
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (/ y x)))
(+.f64 y x)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
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)
(* y (- 1 z))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(+ (* x (- 1 z)) (* y (- 1 z)))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(+ (* x (- 1 z)) (* y (- 1 z)))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(+ (* x (- 1 z)) (* y (- 1 z)))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* x (- 1 z))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* x (- 1 z))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* x (- 1 z))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(+ (* x (- 1 z)) (* y (- 1 z)))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(+ (* x (- 1 z)) (* y (- 1 z)))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(+ (* x (- 1 z)) (* y (- 1 z)))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* y (- 1 z))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* y (- 1 z))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(+ x y)
(+.f64 y x)
(+ x (+ y (* -1 (* z (+ x y)))))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(+ x (+ y (* -1 (* z (+ x y)))))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(+ x (+ y (* -1 (* z (+ x y)))))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* z (+ x y)))
(-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 y x) z #s(literal 0 binary64)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* z (+ x y)))
(-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 y x) z #s(literal 0 binary64)))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(fma.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))

eval151.0ms (1.5%)

Memory
8.5MiB live, 271.8MiB allocated
Compiler

Compiled 39 905 to 2 730 computations (93.2% saved)

prune126.0ms (1.3%)

Memory
22.5MiB live, 349.9MiB allocated
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New9025907
Fresh000
Picked011
Done000
Total9026908
Accuracy
100.0%
Counts
908 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 x y) (+.f64 x y))
85.4%
(/.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 #s(literal 1 binary64) z))
53.5%
(+.f64 y x)
100.0%
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
50.5%
(*.f64 y (-.f64 #s(literal 1 binary64) z))
52.9%
(*.f64 x (-.f64 #s(literal 1 binary64) z))
Compiler

Compiled 112 to 73 computations (34.8% saved)

simplify351.0ms (3.5%)

Memory
-8.7MiB live, 556.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1 binary64) z)
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 z z))
cost-diff0
(+.f64 x y)
cost-diff1280
(/.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 #s(literal 1 binary64) z))
cost-diff-64
(*.f64 y (-.f64 #s(literal 1 binary64) z))
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff-64
(*.f64 x (-.f64 #s(literal 1 binary64) z))
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff0
(+.f64 y x)
cost-diff0
(+.f64 x y)
cost-diff0
(-.f64 #s(literal 0 binary64) z)
cost-diff192
(fma.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 x y) (+.f64 x y))
Rules
9 996×accelerator-lowering-fma.f32
9 996×accelerator-lowering-fma.f64
2 068×*-lowering-*.f32
2 068×*-lowering-*.f64
1 580×--lowering--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01879
14677
214577
334377
480477
5191577
6299077
7503577
8661077
9723977
10745677
11763477
12787677
0815377
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(+ (* (- 0 z) (+ x y)) (+ x y))
(- 0 z)
0
z
(+ x y)
x
y
(+ y x)
y
x
(* x (- 1 z))
x
(- 1 z)
1
z
(* y (- 1 z))
y
(- 1 z)
1
z
(/ (* (+ x y) (- 1 (* z z))) (+ 1 z))
(* (+ x y) (- 1 (* z z)))
(+ x y)
x
y
(- 1 (* z z))
1
(* z z)
z
(+ 1 z)
Outputs
(+ (* (- 0 z) (+ x y)) (+ x y))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(- 0 z)
(-.f64 #s(literal 0 binary64) z)
0
#s(literal 0 binary64)
z
(+ x y)
(+.f64 x y)
x
y
(+ y x)
(+.f64 x y)
y
x
(* x (- 1 z))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
x
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
z
(* y (- 1 z))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
y
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
z
(/ (* (+ x y) (- 1 (* z z))) (+ 1 z))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* (+ x y) (- 1 (* z z)))
(fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 x y)) (fma.f64 z z #s(literal -1 binary64)) #s(literal 0 binary64))
(+ x y)
(+.f64 x y)
x
y
(- 1 (* z z))
(-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(* z z)
(fma.f64 z z #s(literal 0 binary64))
z
(+ 1 z)
(+.f64 z #s(literal 1 binary64))

localize54.0ms (0.5%)

Memory
-10.8MiB live, 147.0MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 #s(literal 1 binary64) z)
accuracy100.0%
(*.f64 z z)
accuracy98.5%
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 z z)))
accuracy87.0%
(/.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 #s(literal 1 binary64) z))
accuracy100.0%
(-.f64 #s(literal 1 binary64) z)
accuracy100.0%
(*.f64 y (-.f64 #s(literal 1 binary64) z))
accuracy100.0%
(-.f64 #s(literal 1 binary64) z)
accuracy100.0%
(*.f64 x (-.f64 #s(literal 1 binary64) z))
accuracy100.0%
(+.f64 y x)
accuracy100.0%
(-.f64 #s(literal 0 binary64) z)
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(fma.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 x y) (+.f64 x y))
Samples
34.0ms256×0valid
Compiler

Compiled 89 to 20 computations (77.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-mult: 7.0ms (38.7% of total)
ival-add: 5.0ms (27.7% of total)
ival-sub: 4.0ms (22.1% of total)
ival-div: 2.0ms (11.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
7.8MiB live, 45.5MiB allocated
Counts
12 → 264
Calls
Call 1
Inputs
#<alt (+ (* (- 0 z) (+ x y)) (+ x y))>
#<alt (- 0 z)>
#<alt (+ x y)>
#<alt (+ y x)>
#<alt (- 1 z)>
#<alt (* x (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (/ (* (+ x y) (- 1 (* z z))) (+ 1 z))>
#<alt (- 1 (* z z))>
#<alt (+ 1 z)>
#<alt (* (+ x y) (- 1 (* z z)))>
#<alt (* z z)>
Outputs
#<alt (+ x y)>
#<alt (+ x (+ y (* -1 (* z (+ x y)))))>
#<alt (+ x (+ y (* -1 (* z (+ x y)))))>
#<alt (+ x (+ y (* -1 (* z (+ x y)))))>
#<alt (* -1 (* z (+ x y)))>
#<alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))>
#<alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))>
#<alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))>
#<alt (* -1 (* z (+ x y)))>
#<alt (* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))>
#<alt (* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))>
#<alt (* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))>
#<alt (+ y (* -1 (* y z)))>
#<alt (+ y (+ (* -1 (* y z)) (* x (+ 1 (* -1 z)))))>
#<alt (+ y (+ (* -1 (* y z)) (* x (+ 1 (* -1 z)))))>
#<alt (+ y (+ (* -1 (* y z)) (* x (+ 1 (* -1 z)))))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x)))))>
#<alt (* x (+ 1 (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x)))))>
#<alt (* x (+ 1 (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x)))))>
#<alt (* -1 (* x (- z 1)))>
#<alt (* -1 (* x (- (+ z (* -1 (/ (+ y (* -1 (* y z))) x))) 1)))>
#<alt (* -1 (* x (- (+ z (* -1 (/ (+ y (* -1 (* y z))) x))) 1)))>
#<alt (* -1 (* x (- (+ z (* -1 (/ (+ y (* -1 (* y z))) x))) 1)))>
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (+ (* -1 (* x z)) (* y (+ 1 (* -1 z)))))>
#<alt (+ x (+ (* -1 (* x z)) (* y (+ 1 (* -1 z)))))>
#<alt (+ x (+ (* -1 (* x z)) (* y (+ 1 (* -1 z)))))>
#<alt (* y (+ 1 (* -1 z)))>
#<alt (* y (+ 1 (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y)))))>
#<alt (* y (+ 1 (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y)))))>
#<alt (* y (+ 1 (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y)))))>
#<alt (* -1 (* y (- z 1)))>
#<alt (* -1 (* y (- (+ z (* -1 (/ (+ x (* -1 (* x z))) y))) 1)))>
#<alt (* -1 (* y (- (+ z (* -1 (/ (+ x (* -1 (* x z))) y))) 1)))>
#<alt (* -1 (* y (- (+ z (* -1 (/ (+ x (* -1 (* x z))) y))) 1)))>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<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 (- 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 (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt y>
#<alt (+ y (* -1 (* y z)))>
#<alt (+ y (* -1 (* y z)))>
#<alt (+ y (* -1 (* y z)))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (/ y z)))>
#<alt (* z (+ (* -1 y) (/ y z)))>
#<alt (* z (+ (* -1 y) (/ y z)))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ y z)))))>
#<alt (/ (* y (- 1 (pow z 2))) (+ 1 z))>
#<alt (+ (* x (- (/ 1 (+ 1 z)) (/ (pow z 2) (+ 1 z)))) (/ (* y (- 1 (pow z 2))) (+ 1 z)))>
#<alt (+ (* x (- (/ 1 (+ 1 z)) (/ (pow z 2) (+ 1 z)))) (/ (* y (- 1 (pow z 2))) (+ 1 z)))>
#<alt (+ (* x (- (/ 1 (+ 1 z)) (/ (pow z 2) (+ 1 z)))) (/ (* y (- 1 (pow z 2))) (+ 1 z)))>
#<alt (/ (* x (- 1 (pow z 2))) (+ 1 z))>
#<alt (* x (- (+ (/ 1 (+ 1 z)) (/ (* y (- 1 (pow z 2))) (* x (+ 1 z)))) (/ (pow z 2) (+ 1 z))))>
#<alt (* x (- (+ (/ 1 (+ 1 z)) (/ (* y (- 1 (pow z 2))) (* x (+ 1 z)))) (/ (pow z 2) (+ 1 z))))>
#<alt (* x (- (+ (/ 1 (+ 1 z)) (/ (* y (- 1 (pow z 2))) (* x (+ 1 z)))) (/ (pow z 2) (+ 1 z))))>
#<alt (/ (* x (- 1 (pow z 2))) (+ 1 z))>
#<alt (* -1 (* x (+ (* -1 (/ (* y (- 1 (pow z 2))) (* x (+ 1 z)))) (* -1 (/ (- 1 (pow z 2)) (+ 1 z))))))>
#<alt (* -1 (* x (+ (* -1 (/ (* y (- 1 (pow z 2))) (* x (+ 1 z)))) (* -1 (/ (- 1 (pow z 2)) (+ 1 z))))))>
#<alt (* -1 (* x (+ (* -1 (/ (* y (- 1 (pow z 2))) (* x (+ 1 z)))) (* -1 (/ (- 1 (pow z 2)) (+ 1 z))))))>
#<alt (/ (* x (- 1 (pow z 2))) (+ 1 z))>
#<alt (+ (* y (- (/ 1 (+ 1 z)) (/ (pow z 2) (+ 1 z)))) (/ (* x (- 1 (pow z 2))) (+ 1 z)))>
#<alt (+ (* y (- (/ 1 (+ 1 z)) (/ (pow z 2) (+ 1 z)))) (/ (* x (- 1 (pow z 2))) (+ 1 z)))>
#<alt (+ (* y (- (/ 1 (+ 1 z)) (/ (pow z 2) (+ 1 z)))) (/ (* x (- 1 (pow z 2))) (+ 1 z)))>
#<alt (/ (* y (- 1 (pow z 2))) (+ 1 z))>
#<alt (* y (- (+ (/ 1 (+ 1 z)) (/ (* x (- 1 (pow z 2))) (* y (+ 1 z)))) (/ (pow z 2) (+ 1 z))))>
#<alt (* y (- (+ (/ 1 (+ 1 z)) (/ (* x (- 1 (pow z 2))) (* y (+ 1 z)))) (/ (pow z 2) (+ 1 z))))>
#<alt (* y (- (+ (/ 1 (+ 1 z)) (/ (* x (- 1 (pow z 2))) (* y (+ 1 z)))) (/ (pow z 2) (+ 1 z))))>
#<alt (/ (* y (- 1 (pow z 2))) (+ 1 z))>
#<alt (* -1 (* y (+ (* -1 (/ (* x (- 1 (pow z 2))) (* y (+ 1 z)))) (* -1 (/ (- 1 (pow z 2)) (+ 1 z))))))>
#<alt (* -1 (* y (+ (* -1 (/ (* x (- 1 (pow z 2))) (* y (+ 1 z)))) (* -1 (/ (- 1 (pow z 2)) (+ 1 z))))))>
#<alt (* -1 (* y (+ (* -1 (/ (* x (- 1 (pow z 2))) (* y (+ 1 z)))) (* -1 (/ (- 1 (pow z 2)) (+ 1 z))))))>
#<alt (+ x y)>
#<alt (+ x (+ y (* -1 (* z (+ x y)))))>
#<alt (+ x (+ y (* -1 (* z (+ x y)))))>
#<alt (+ x (+ y (* -1 (* z (+ x y)))))>
#<alt (* -1 (* z (+ x y)))>
#<alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))>
#<alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))>
#<alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))>
#<alt (* -1 (* z (+ x y)))>
#<alt (* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))>
#<alt (* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))>
#<alt (* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))>
#<alt 1>
#<alt (+ 1 (* -1 (pow z 2)))>
#<alt (+ 1 (* -1 (pow z 2)))>
#<alt (+ 1 (* -1 (pow z 2)))>
#<alt (* -1 (pow z 2))>
#<alt (* (pow z 2) (- (/ 1 (pow z 2)) 1))>
#<alt (* (pow z 2) (- (/ 1 (pow z 2)) 1))>
#<alt (* (pow z 2) (- (/ 1 (pow z 2)) 1))>
#<alt (* -1 (pow z 2))>
#<alt (* (pow z 2) (- (/ 1 (pow z 2)) 1))>
#<alt (* (pow z 2) (- (/ 1 (pow z 2)) 1))>
#<alt (* (pow z 2) (- (/ 1 (pow z 2)) 1))>
#<alt 1>
#<alt (+ 1 z)>
#<alt (+ 1 z)>
#<alt (+ 1 z)>
#<alt z>
#<alt (* z (+ 1 (/ 1 z)))>
#<alt (* z (+ 1 (/ 1 z)))>
#<alt (* z (+ 1 (/ 1 z)))>
#<alt z>
#<alt (* z (+ 1 (/ 1 z)))>
#<alt (* z (+ 1 (/ 1 z)))>
#<alt (* z (+ 1 (/ 1 z)))>
#<alt (* y (- 1 (pow z 2)))>
#<alt (+ (* x (- 1 (pow z 2))) (* y (- 1 (pow z 2))))>
#<alt (+ (* x (- 1 (pow z 2))) (* y (- 1 (pow z 2))))>
#<alt (+ (* x (- 1 (pow z 2))) (* y (- 1 (pow z 2))))>
#<alt (* x (- 1 (pow z 2)))>
#<alt (* x (- (+ 1 (/ (* y (- 1 (pow z 2))) x)) (pow z 2)))>
#<alt (* x (- (+ 1 (/ (* y (- 1 (pow z 2))) x)) (pow z 2)))>
#<alt (* x (- (+ 1 (/ (* y (- 1 (pow z 2))) x)) (pow z 2)))>
#<alt (* x (- 1 (pow z 2)))>
#<alt (* -1 (* x (+ (* -1 (- 1 (pow z 2))) (* -1 (/ (* y (- 1 (pow z 2))) x)))))>
#<alt (* -1 (* x (+ (* -1 (- 1 (pow z 2))) (* -1 (/ (* y (- 1 (pow z 2))) x)))))>
#<alt (* -1 (* x (+ (* -1 (- 1 (pow z 2))) (* -1 (/ (* y (- 1 (pow z 2))) x)))))>
#<alt (* x (- 1 (pow z 2)))>
#<alt (+ (* x (- 1 (pow z 2))) (* y (- 1 (pow z 2))))>
#<alt (+ (* x (- 1 (pow z 2))) (* y (- 1 (pow z 2))))>
#<alt (+ (* x (- 1 (pow z 2))) (* y (- 1 (pow z 2))))>
#<alt (* y (- 1 (pow z 2)))>
#<alt (* y (- (+ 1 (/ (* x (- 1 (pow z 2))) y)) (pow z 2)))>
#<alt (* y (- (+ 1 (/ (* x (- 1 (pow z 2))) y)) (pow z 2)))>
#<alt (* y (- (+ 1 (/ (* x (- 1 (pow z 2))) y)) (pow z 2)))>
#<alt (* y (- 1 (pow z 2)))>
#<alt (* -1 (* y (+ (* -1 (- 1 (pow z 2))) (* -1 (/ (* x (- 1 (pow z 2))) y)))))>
#<alt (* -1 (* y (+ (* -1 (- 1 (pow z 2))) (* -1 (/ (* x (- 1 (pow z 2))) y)))))>
#<alt (* -1 (* y (+ (* -1 (- 1 (pow z 2))) (* -1 (/ (* x (- 1 (pow z 2))) y)))))>
#<alt (+ x y)>
#<alt (+ x (+ y (* -1 (* (pow z 2) (+ x y)))))>
#<alt (+ x (+ y (* -1 (* (pow z 2) (+ x y)))))>
#<alt (+ x (+ y (* -1 (* (pow z 2) (+ x y)))))>
#<alt (* -1 (* (pow z 2) (+ x y)))>
#<alt (* (pow z 2) (+ (* -1 (+ x y)) (+ (/ x (pow z 2)) (/ y (pow z 2)))))>
#<alt (* (pow z 2) (+ (* -1 (+ x y)) (+ (/ x (pow z 2)) (/ y (pow z 2)))))>
#<alt (* (pow z 2) (+ (* -1 (+ x y)) (+ (/ x (pow z 2)) (/ y (pow z 2)))))>
#<alt (* -1 (* (pow z 2) (+ x y)))>
#<alt (* (pow z 2) (+ (* -1 (+ x y)) (+ (/ x (pow z 2)) (/ y (pow z 2)))))>
#<alt (* (pow z 2) (+ (* -1 (+ x y)) (+ (/ x (pow z 2)) (/ y (pow z 2)))))>
#<alt (* (pow z 2) (+ (* -1 (+ x y)) (+ (/ x (pow z 2)) (/ y (pow z 2)))))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
Calls

66 calls:

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

rewrite375.0ms (3.8%)

Memory
-17.9MiB live, 781.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 642×*-lowering-*.f32
5 642×*-lowering-*.f64
4 668×/-lowering-/.f32
4 668×/-lowering-/.f64
2 686×--lowering--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01857
112155
2140355
0857055
Stop Event
iter limit
node limit
Counts
12 → 762
Calls
Call 1
Inputs
(+ (* (- 0 z) (+ x y)) (+ x y))
(- 0 z)
(+ x y)
(+ y x)
(- 1 z)
(* x (- 1 z))
(* y (- 1 z))
(/ (* (+ x y) (- 1 (* z z))) (+ 1 z))
(- 1 (* z z))
(+ 1 z)
(* (+ x y) (- 1 (* z z)))
(* z z)
Outputs
(+.f64 x (+.f64 y (neg.f64 (*.f64 z (+.f64 x y)))))
(+.f64 y (fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) x))
(+.f64 (+.f64 x y) (neg.f64 (*.f64 z (+.f64 x y))))
(+.f64 (neg.f64 (*.f64 z (+.f64 x y))) (+.f64 x y))
(+.f64 (*.f64 x (-.f64 #s(literal 0 binary64) z)) (fma.f64 y (-.f64 #s(literal 0 binary64) z) (+.f64 x y)))
(+.f64 (fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) x) y)
(+.f64 (*.f64 (+.f64 x y) #s(literal 1 binary64)) (neg.f64 (*.f64 z (+.f64 x y))))
(+.f64 (*.f64 #s(literal 1 binary64) (+.f64 x y)) (neg.f64 (*.f64 z (+.f64 x y))))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 x (-.f64 #s(literal 1 binary64) z)))
(+.f64 (+.f64 (+.f64 x y) (*.f64 x (-.f64 #s(literal 0 binary64) z))) (*.f64 y (-.f64 #s(literal 0 binary64) z)))
(+.f64 (fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) y) x)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 (+.f64 x y) (+.f64 x y))) (-.f64 (neg.f64 (*.f64 z (+.f64 x y))) (+.f64 x y))) (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (neg.f64 (*.f64 z (+.f64 x y))) (+.f64 x y))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 0 binary64) z) #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 x y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) z)))
(-.f64 (/.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (-.f64 (+.f64 x y) (neg.f64 (*.f64 z (+.f64 x y))))) (/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 (+.f64 x y) (+.f64 x y))) (-.f64 (+.f64 x y) (neg.f64 (*.f64 z (+.f64 x y))))))
(-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) x) (fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) x)) (-.f64 (fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) x) y)) (/.f64 (*.f64 y y) (-.f64 (fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) x) y)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(fma.f64 x (-.f64 #s(literal 0 binary64) z) (fma.f64 y (-.f64 #s(literal 0 binary64) z) (+.f64 x y)))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 x (-.f64 #s(literal 1 binary64) z)))
(fma.f64 (+.f64 x y) #s(literal 1 binary64) (neg.f64 (*.f64 z (+.f64 x y))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) (+.f64 x y))
(fma.f64 #s(literal 1 binary64) (+.f64 x y) (neg.f64 (*.f64 z (+.f64 x y))))
(fma.f64 (-.f64 #s(literal 1 binary64) z) x (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 x (-.f64 #s(literal 1 binary64) z)))
(fma.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x y) (*.f64 y y))) (neg.f64 (*.f64 z (+.f64 x y))))
(fma.f64 (fma.f64 x (*.f64 x x) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 y (-.f64 y x)))) (neg.f64 (*.f64 z (+.f64 x y))))
(fma.f64 (-.f64 #s(literal 0 binary64) z) x (fma.f64 y (-.f64 #s(literal 0 binary64) z) (+.f64 x y)))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 x y) (+.f64 x y))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 x #s(literal 1 binary64)) (fma.f64 y (-.f64 #s(literal 0 binary64) z) (+.f64 x y)))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 (+.f64 x y) #s(literal 1 binary64)) (+.f64 x y))
(fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 y x)) (neg.f64 (*.f64 z (+.f64 x y))))
(fma.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)) (neg.f64 (*.f64 z (+.f64 x y))))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64)))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64)))) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))) (*.f64 x (-.f64 #s(literal 1 binary64) z)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 x (-.f64 #s(literal 1 binary64) z)))
(fma.f64 (/.f64 x z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64)))) z) (fma.f64 y (-.f64 #s(literal 0 binary64) z) (+.f64 x y)))
(fma.f64 (/.f64 x z) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 1 binary64)) (fma.f64 y (-.f64 #s(literal 0 binary64) z) (+.f64 x y)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64)))) z) (/.f64 x z) (fma.f64 y (-.f64 #s(literal 0 binary64) z) (+.f64 x y)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64)))) z) (/.f64 (+.f64 x y) z) (+.f64 x y))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) z) (fma.f64 y (-.f64 #s(literal 0 binary64) z) (+.f64 x y)))
(fma.f64 (/.f64 x (fma.f64 z z #s(literal 0 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64)))) #s(literal 1 binary64)) (fma.f64 y (-.f64 #s(literal 0 binary64) z) (+.f64 x y)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64)))) #s(literal 1 binary64)) (/.f64 x (fma.f64 z z #s(literal 0 binary64))) (fma.f64 y (-.f64 #s(literal 0 binary64) z) (+.f64 x y)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64)))) #s(literal 1 binary64)) (/.f64 (+.f64 x y) (fma.f64 z z #s(literal 0 binary64))) (+.f64 x y))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 1 binary64)) (/.f64 x z) (fma.f64 y (-.f64 #s(literal 0 binary64) z) (+.f64 x y)))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 1 binary64)) (/.f64 (+.f64 x y) z) (+.f64 x y))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))))) (/.f64 x (+.f64 z #s(literal 1 binary64))) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))))) (/.f64 y (+.f64 z #s(literal 1 binary64))) (*.f64 x (-.f64 #s(literal 1 binary64) z)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64)))))) (/.f64 x (fma.f64 z (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64)))))) (/.f64 y (fma.f64 z (+.f64 z #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 x (-.f64 #s(literal 1 binary64) z)))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(fma.f64 (/.f64 x (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)))) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
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(+.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 z) #s(literal 0 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (/.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal 0 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))))
(-.f64 (/.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal 0 binary64)))) (-.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 0 binary64) (-.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))))
(fma.f64 z z #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) #s(literal 0 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 z (*.f64 z (fma.f64 z z #s(literal 0 binary64)))))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal 0 binary64)))) (*.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))))))
(/.f64 (fma.f64 (*.f64 z (fma.f64 z z #s(literal 0 binary64))) (*.f64 z (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 z (*.f64 z (fma.f64 z z #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal 0 binary64)))) #s(literal 0 binary64)) (-.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (fma.f64 z z #s(literal 0 binary64))))) (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (*.f64 z (fma.f64 z z #s(literal 0 binary64)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 z (*.f64 z (fma.f64 z z #s(literal 0 binary64))))))) (neg.f64 (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal 0 binary64)))) (*.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 z (fma.f64 z z #s(literal 0 binary64))) (*.f64 z (fma.f64 z z #s(literal 0 binary64))) #s(literal 0 binary64))) (neg.f64 (fma.f64 z (*.f64 z (fma.f64 z z #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 z (*.f64 z (fma.f64 z z #s(literal 0 binary64)))) #s(literal 0 binary64))) (neg.f64 (-.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))))
(pow.f64 z #s(literal 2 binary64))
(pow.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 z)) #s(literal 2 binary64))
(*.f64 z z)
(*.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64)))
(*.f64 (fma.f64 z z #s(literal 0 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) z))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)))

simplify495.0ms (5%)

Memory
24.1MiB live, 780.9MiB allocated
Algorithm
egg-herbie
Rules
17 404×accelerator-lowering-fma.f32
17 404×accelerator-lowering-fma.f64
4 604×*-lowering-*.f32
4 604×*-lowering-*.f64
2 902×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01712154
15611836
216981776
367831776
080551722
Stop Event
iter limit
node limit
Counts
264 → 264
Calls
Call 1
Inputs
(+ x y)
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* -1 (* z (+ x y)))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(+ y (* -1 (* y z)))
(+ y (+ (* -1 (* y z)) (* x (+ 1 (* -1 z)))))
(+ y (+ (* -1 (* y z)) (* x (+ 1 (* -1 z)))))
(+ y (+ (* -1 (* y z)) (* x (+ 1 (* -1 z)))))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x)))))
(* x (+ 1 (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x)))))
(* x (+ 1 (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x)))))
(* -1 (* x (- z 1)))
(* -1 (* x (- (+ z (* -1 (/ (+ y (* -1 (* y z))) x))) 1)))
(* -1 (* x (- (+ z (* -1 (/ (+ y (* -1 (* y z))) x))) 1)))
(* -1 (* x (- (+ z (* -1 (/ (+ y (* -1 (* y z))) x))) 1)))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* y (+ 1 (* -1 z)))))
(+ x (+ (* -1 (* x z)) (* y (+ 1 (* -1 z)))))
(+ x (+ (* -1 (* x z)) (* y (+ 1 (* -1 z)))))
(* y (+ 1 (* -1 z)))
(* y (+ 1 (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y)))))
(* y (+ 1 (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y)))))
(* y (+ 1 (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y)))))
(* -1 (* y (- z 1)))
(* -1 (* y (- (+ z (* -1 (/ (+ x (* -1 (* x z))) y))) 1)))
(* -1 (* y (- (+ z (* -1 (/ (+ x (* -1 (* x z))) y))) 1)))
(* -1 (* y (- (+ z (* -1 (/ (+ x (* -1 (* x z))) y))) 1)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
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 (- 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)))))
(* 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 z))
y
(+ y (* -1 (* y z)))
(+ y (* -1 (* y z)))
(+ y (* -1 (* y z)))
(* -1 (* y z))
(* z (+ (* -1 y) (/ y z)))
(* z (+ (* -1 y) (/ y z)))
(* z (+ (* -1 y) (/ y z)))
(* -1 (* y z))
(* -1 (* z (+ y (* -1 (/ y z)))))
(* -1 (* z (+ y (* -1 (/ y z)))))
(* -1 (* z (+ y (* -1 (/ y z)))))
(/ (* y (- 1 (pow z 2))) (+ 1 z))
(+ (* x (- (/ 1 (+ 1 z)) (/ (pow z 2) (+ 1 z)))) (/ (* y (- 1 (pow z 2))) (+ 1 z)))
(+ (* x (- (/ 1 (+ 1 z)) (/ (pow z 2) (+ 1 z)))) (/ (* y (- 1 (pow z 2))) (+ 1 z)))
(+ (* x (- (/ 1 (+ 1 z)) (/ (pow z 2) (+ 1 z)))) (/ (* y (- 1 (pow z 2))) (+ 1 z)))
(/ (* x (- 1 (pow z 2))) (+ 1 z))
(* x (- (+ (/ 1 (+ 1 z)) (/ (* y (- 1 (pow z 2))) (* x (+ 1 z)))) (/ (pow z 2) (+ 1 z))))
(* x (- (+ (/ 1 (+ 1 z)) (/ (* y (- 1 (pow z 2))) (* x (+ 1 z)))) (/ (pow z 2) (+ 1 z))))
(* x (- (+ (/ 1 (+ 1 z)) (/ (* y (- 1 (pow z 2))) (* x (+ 1 z)))) (/ (pow z 2) (+ 1 z))))
(/ (* x (- 1 (pow z 2))) (+ 1 z))
(* -1 (* x (+ (* -1 (/ (* y (- 1 (pow z 2))) (* x (+ 1 z)))) (* -1 (/ (- 1 (pow z 2)) (+ 1 z))))))
(* -1 (* x (+ (* -1 (/ (* y (- 1 (pow z 2))) (* x (+ 1 z)))) (* -1 (/ (- 1 (pow z 2)) (+ 1 z))))))
(* -1 (* x (+ (* -1 (/ (* y (- 1 (pow z 2))) (* x (+ 1 z)))) (* -1 (/ (- 1 (pow z 2)) (+ 1 z))))))
(/ (* x (- 1 (pow z 2))) (+ 1 z))
(+ (* y (- (/ 1 (+ 1 z)) (/ (pow z 2) (+ 1 z)))) (/ (* x (- 1 (pow z 2))) (+ 1 z)))
(+ (* y (- (/ 1 (+ 1 z)) (/ (pow z 2) (+ 1 z)))) (/ (* x (- 1 (pow z 2))) (+ 1 z)))
(+ (* y (- (/ 1 (+ 1 z)) (/ (pow z 2) (+ 1 z)))) (/ (* x (- 1 (pow z 2))) (+ 1 z)))
(/ (* y (- 1 (pow z 2))) (+ 1 z))
(* y (- (+ (/ 1 (+ 1 z)) (/ (* x (- 1 (pow z 2))) (* y (+ 1 z)))) (/ (pow z 2) (+ 1 z))))
(* y (- (+ (/ 1 (+ 1 z)) (/ (* x (- 1 (pow z 2))) (* y (+ 1 z)))) (/ (pow z 2) (+ 1 z))))
(* y (- (+ (/ 1 (+ 1 z)) (/ (* x (- 1 (pow z 2))) (* y (+ 1 z)))) (/ (pow z 2) (+ 1 z))))
(/ (* y (- 1 (pow z 2))) (+ 1 z))
(* -1 (* y (+ (* -1 (/ (* x (- 1 (pow z 2))) (* y (+ 1 z)))) (* -1 (/ (- 1 (pow z 2)) (+ 1 z))))))
(* -1 (* y (+ (* -1 (/ (* x (- 1 (pow z 2))) (* y (+ 1 z)))) (* -1 (/ (- 1 (pow z 2)) (+ 1 z))))))
(* -1 (* y (+ (* -1 (/ (* x (- 1 (pow z 2))) (* y (+ 1 z)))) (* -1 (/ (- 1 (pow z 2)) (+ 1 z))))))
(+ x y)
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
(+ x (+ y (* -1 (* z (+ x y)))))
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(* -1 (* z (+ x y)))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
1
(+ 1 (* -1 (pow z 2)))
(+ 1 (* -1 (pow z 2)))
(+ 1 (* -1 (pow z 2)))
(* -1 (pow z 2))
(* (pow z 2) (- (/ 1 (pow z 2)) 1))
(* (pow z 2) (- (/ 1 (pow z 2)) 1))
(* (pow z 2) (- (/ 1 (pow z 2)) 1))
(* -1 (pow z 2))
(* (pow z 2) (- (/ 1 (pow z 2)) 1))
(* (pow z 2) (- (/ 1 (pow z 2)) 1))
(* (pow z 2) (- (/ 1 (pow z 2)) 1))
1
(+ 1 z)
(+ 1 z)
(+ 1 z)
z
(* z (+ 1 (/ 1 z)))
(* z (+ 1 (/ 1 z)))
(* z (+ 1 (/ 1 z)))
z
(* z (+ 1 (/ 1 z)))
(* z (+ 1 (/ 1 z)))
(* z (+ 1 (/ 1 z)))
(* y (- 1 (pow z 2)))
(+ (* x (- 1 (pow z 2))) (* y (- 1 (pow z 2))))
(+ (* x (- 1 (pow z 2))) (* y (- 1 (pow z 2))))
(+ (* x (- 1 (pow z 2))) (* y (- 1 (pow z 2))))
(* x (- 1 (pow z 2)))
(* x (- (+ 1 (/ (* y (- 1 (pow z 2))) x)) (pow z 2)))
(* x (- (+ 1 (/ (* y (- 1 (pow z 2))) x)) (pow z 2)))
(* x (- (+ 1 (/ (* y (- 1 (pow z 2))) x)) (pow z 2)))
(* x (- 1 (pow z 2)))
(* -1 (* x (+ (* -1 (- 1 (pow z 2))) (* -1 (/ (* y (- 1 (pow z 2))) x)))))
(* -1 (* x (+ (* -1 (- 1 (pow z 2))) (* -1 (/ (* y (- 1 (pow z 2))) x)))))
(* -1 (* x (+ (* -1 (- 1 (pow z 2))) (* -1 (/ (* y (- 1 (pow z 2))) x)))))
(* x (- 1 (pow z 2)))
(+ (* x (- 1 (pow z 2))) (* y (- 1 (pow z 2))))
(+ (* x (- 1 (pow z 2))) (* y (- 1 (pow z 2))))
(+ (* x (- 1 (pow z 2))) (* y (- 1 (pow z 2))))
(* y (- 1 (pow z 2)))
(* y (- (+ 1 (/ (* x (- 1 (pow z 2))) y)) (pow z 2)))
(* y (- (+ 1 (/ (* x (- 1 (pow z 2))) y)) (pow z 2)))
(* y (- (+ 1 (/ (* x (- 1 (pow z 2))) y)) (pow z 2)))
(* y (- 1 (pow z 2)))
(* -1 (* y (+ (* -1 (- 1 (pow z 2))) (* -1 (/ (* x (- 1 (pow z 2))) y)))))
(* -1 (* y (+ (* -1 (- 1 (pow z 2))) (* -1 (/ (* x (- 1 (pow z 2))) y)))))
(* -1 (* y (+ (* -1 (- 1 (pow z 2))) (* -1 (/ (* x (- 1 (pow z 2))) y)))))
(+ x y)
(+ x (+ y (* -1 (* (pow z 2) (+ x y)))))
(+ x (+ y (* -1 (* (pow z 2) (+ x y)))))
(+ x (+ y (* -1 (* (pow z 2) (+ x y)))))
(* -1 (* (pow z 2) (+ x y)))
(* (pow z 2) (+ (* -1 (+ x y)) (+ (/ x (pow z 2)) (/ y (pow z 2)))))
(* (pow z 2) (+ (* -1 (+ x y)) (+ (/ x (pow z 2)) (/ y (pow z 2)))))
(* (pow z 2) (+ (* -1 (+ x y)) (+ (/ x (pow z 2)) (/ y (pow z 2)))))
(* -1 (* (pow z 2) (+ x y)))
(* (pow z 2) (+ (* -1 (+ x y)) (+ (/ x (pow z 2)) (/ y (pow z 2)))))
(* (pow z 2) (+ (* -1 (+ x y)) (+ (/ x (pow z 2)) (/ y (pow z 2)))))
(* (pow z 2) (+ (* -1 (+ x y)) (+ (/ x (pow z 2)) (/ y (pow z 2)))))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
Outputs
(+ x y)
(+.f64 x y)
(+ x (+ y (* -1 (* z (+ x y)))))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(+ x (+ y (* -1 (* z (+ x y)))))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(+ x (+ y (* -1 (* z (+ x y)))))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(* -1 (* z (+ x y)))
(*.f64 z (-.f64 (-.f64 #s(literal 0 binary64) x) y))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z))))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(* -1 (* z (+ x y)))
(*.f64 z (-.f64 (-.f64 #s(literal 0 binary64) x) y))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(+ y (* -1 (* y z)))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(+ y (+ (* -1 (* y z)) (* x (+ 1 (* -1 z)))))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(+ y (+ (* -1 (* y z)) (* x (+ 1 (* -1 z)))))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(+ y (+ (* -1 (* y z)) (* x (+ 1 (* -1 z)))))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(* x (+ 1 (* -1 z)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* x (+ 1 (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x)))))
(*.f64 x (-.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 1 binary64)) z))
(* x (+ 1 (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x)))))
(*.f64 x (-.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 1 binary64)) z))
(* x (+ 1 (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x)))))
(*.f64 x (-.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 1 binary64)) z))
(* -1 (* x (- z 1)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* -1 (* x (- (+ z (* -1 (/ (+ y (* -1 (* y z))) x))) 1)))
(*.f64 x (-.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 1 binary64)) z))
(* -1 (* x (- (+ z (* -1 (/ (+ y (* -1 (* y z))) x))) 1)))
(*.f64 x (-.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 1 binary64)) z))
(* -1 (* x (- (+ z (* -1 (/ (+ y (* -1 (* y z))) x))) 1)))
(*.f64 x (-.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 1 binary64)) z))
(+ x (* -1 (* x z)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+ x (+ (* -1 (* x z)) (* y (+ 1 (* -1 z)))))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(+ x (+ (* -1 (* x z)) (* y (+ 1 (* -1 z)))))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(+ x (+ (* -1 (* x z)) (* y (+ 1 (* -1 z)))))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(* y (+ 1 (* -1 z)))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(* y (+ 1 (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y)))))
(*.f64 y (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y) (-.f64 #s(literal 1 binary64) z)))
(* y (+ 1 (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y)))))
(*.f64 y (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y) (-.f64 #s(literal 1 binary64) z)))
(* y (+ 1 (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y)))))
(*.f64 y (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y) (-.f64 #s(literal 1 binary64) z)))
(* -1 (* y (- z 1)))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(* -1 (* y (- (+ z (* -1 (/ (+ x (* -1 (* x z))) y))) 1)))
(*.f64 y (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y) (-.f64 #s(literal 1 binary64) z)))
(* -1 (* y (- (+ z (* -1 (/ (+ x (* -1 (* x z))) y))) 1)))
(*.f64 y (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y) (-.f64 #s(literal 1 binary64) z)))
(* -1 (* y (- (+ z (* -1 (/ (+ x (* -1 (* x z))) y))) 1)))
(*.f64 y (fma.f64 x (/.f64 (-.f64 #s(literal 1 binary64) z) y) (-.f64 #s(literal 1 binary64) z)))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
(* x (+ 1 (/ y x)))
(fma.f64 x (/.f64 y x) x)
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(* (pow z 2) (+ (* -1 (+ x y)) (+ (/ x (pow z 2)) (/ y (pow z 2)))))
(*.f64 z (*.f64 z (+.f64 (/.f64 x (*.f64 z z)) (-.f64 (-.f64 (/.f64 y (*.f64 z z)) y) x))))
(* (pow z 2) (+ (* -1 (+ x y)) (+ (/ x (pow z 2)) (/ y (pow z 2)))))
(*.f64 z (*.f64 z (+.f64 (/.f64 x (*.f64 z z)) (-.f64 (-.f64 (/.f64 y (*.f64 z z)) y) x))))
(* (pow z 2) (+ (* -1 (+ x y)) (+ (/ x (pow z 2)) (/ y (pow z 2)))))
(*.f64 z (*.f64 z (+.f64 (/.f64 x (*.f64 z z)) (-.f64 (-.f64 (/.f64 y (*.f64 z z)) y) x))))
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)

eval141.0ms (1.4%)

Memory
24.9MiB live, 292.4MiB allocated
Compiler

Compiled 25 793 to 1 889 computations (92.7% saved)

prune120.0ms (1.2%)

Memory
-26.4MiB live, 348.4MiB allocated
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New1 21061 216
Fresh000
Picked235
Done011
Total1 212101 222
Accuracy
100.0%
Counts
1 222 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.8%
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 x (-.f64 #s(literal 1 binary64) z)))
99.2%
(fma.f64 (-.f64 #s(literal 1 binary64) z) x (*.f64 y (-.f64 #s(literal 1 binary64) z)))
72.0%
(fma.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 x y) y)
76.2%
(fma.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 x y) x)
53.5%
(+.f64 y x)
100.0%
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
50.5%
(*.f64 y (-.f64 #s(literal 1 binary64) z))
52.9%
(*.f64 x (-.f64 #s(literal 1 binary64) z))
25.7%
y
30.2%
x
Compiler

Compiled 144 to 91 computations (36.8% saved)

simplify83.0ms (0.8%)

Memory
12.3MiB live, 90.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x y)
cost-diff0
(-.f64 #s(literal 0 binary64) z)
cost-diff0
(fma.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 x y) y)
cost-diff0
(+.f64 x y)
cost-diff0
(-.f64 #s(literal 0 binary64) z)
cost-diff0
(fma.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 x y) x)
cost-diff-64
(*.f64 y (-.f64 #s(literal 1 binary64) z))
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff384
(fma.f64 (-.f64 #s(literal 1 binary64) z) x (*.f64 y (-.f64 #s(literal 1 binary64) z)))
Rules
1 552×accelerator-lowering-fma.f32
1 552×accelerator-lowering-fma.f64
368×*-lowering-*.f32
368×*-lowering-*.f64
344×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01459
13255
29953
322853
440853
575453
6118353
7129253
8131453
0131453
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* (- 1 z) x) (* y (- 1 z)))
(- 1 z)
1
z
x
(* y (- 1 z))
y
x
y
(+ (* (- 0 z) (+ x y)) x)
(- 0 z)
0
z
(+ x y)
x
y
(+ (* (- 0 z) (+ x y)) y)
(- 0 z)
0
z
(+ x y)
x
y
Outputs
(+ (* (- 1 z) x) (* y (- 1 z)))
(fma.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y) #s(literal 0 binary64))
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
z
x
(* y (- 1 z))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y #s(literal 0 binary64))
y
x
y
(+ (* (- 0 z) (+ x y)) x)
(-.f64 x (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
(- 0 z)
(-.f64 #s(literal 0 binary64) z)
0
#s(literal 0 binary64)
z
(+ x y)
(+.f64 x y)
x
y
(+ (* (- 0 z) (+ x y)) y)
(fma.f64 z (-.f64 #s(literal 0 binary64) (+.f64 x y)) y)
(- 0 z)
(-.f64 #s(literal 0 binary64) z)
0
#s(literal 0 binary64)
z
(+ x y)
(+.f64 x y)
x
y

localize70.0ms (0.7%)

Memory
1.0MiB live, 78.5MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 0 binary64) z)
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(fma.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 x y) y)
accuracy100.0%
(-.f64 #s(literal 0 binary64) z)
accuracy100.0%
(+.f64 x y)
accuracy100.0%
(fma.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 x y) x)
accuracy100.0%
(-.f64 #s(literal 1 binary64) z)
accuracy100.0%
(*.f64 y (-.f64 #s(literal 1 binary64) z))
accuracy99.2%
(fma.f64 (-.f64 #s(literal 1 binary64) z) x (*.f64 y (-.f64 #s(literal 1 binary64) z)))
Samples
53.0ms256×0valid
Compiler

Compiled 62 to 16 computations (74.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-sub: 31.0ms (76.7% of total)
ival-add: 4.0ms (9.9% of total)
ival-mult: 4.0ms (9.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
-28.7MiB live, 9.9MiB allocated
Counts
7 → 180
Calls
Call 1
Inputs
#<alt (+ (* (- 1 z) x) (* y (- 1 z)))>
#<alt (- 1 z)>
#<alt (* y (- 1 z))>
#<alt (+ (* (- 0 z) (+ x y)) x)>
#<alt (- 0 z)>
#<alt (+ x y)>
#<alt (+ (* (- 0 z) (+ x y)) y)>
Outputs
#<alt (+ x y)>
#<alt (+ x (+ y (* z (+ (* -1 x) (* -1 y)))))>
#<alt (+ x (+ y (* z (+ (* -1 x) (* -1 y)))))>
#<alt (+ x (+ y (* z (+ (* -1 x) (* -1 y)))))>
#<alt (* z (+ (* -1 x) (* -1 y)))>
#<alt (* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z)))))>
#<alt (* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z)))))>
#<alt (* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z)))))>
#<alt (* -1 (* z (+ x y)))>
#<alt (* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))>
#<alt (* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))>
#<alt (* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))>
#<alt (* y (- 1 z))>
#<alt (+ (* x (- 1 z)) (* y (- 1 z)))>
#<alt (+ (* x (- 1 z)) (* y (- 1 z)))>
#<alt (+ (* x (- 1 z)) (* y (- 1 z)))>
#<alt (* x (- 1 z))>
#<alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z))>
#<alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z))>
#<alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z))>
#<alt (* x (- 1 z))>
#<alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))>
#<alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))>
#<alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))>
#<alt (* x (- 1 z))>
#<alt (+ (* x (- 1 z)) (* y (- 1 z)))>
#<alt (+ (* x (- 1 z)) (* y (- 1 z)))>
#<alt (+ (* x (- 1 z)) (* y (- 1 z)))>
#<alt (* y (- 1 z))>
#<alt (* y (- (+ 1 (/ (* x (- 1 z)) y)) z))>
#<alt (* y (- (+ 1 (/ (* x (- 1 z)) y)) z))>
#<alt (* y (- (+ 1 (/ (* x (- 1 z)) y)) z))>
#<alt (* y (- 1 z))>
#<alt (* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))>
#<alt (* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))>
#<alt (* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))>
#<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 (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt y>
#<alt (+ y (* -1 (* y z)))>
#<alt (+ y (* -1 (* y z)))>
#<alt (+ y (* -1 (* y z)))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (/ y z)))>
#<alt (* z (+ (* -1 y) (/ y z)))>
#<alt (* z (+ (* -1 y) (/ y z)))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ y z)))))>
#<alt x>
#<alt (+ x (* -1 (* z (+ x y))))>
#<alt (+ x (* -1 (* z (+ x y))))>
#<alt (+ x (* -1 (* z (+ x y))))>
#<alt (* -1 (* z (+ x y)))>
#<alt (* z (+ (* -1 (+ x y)) (/ x z)))>
#<alt (* z (+ (* -1 (+ x y)) (/ x z)))>
#<alt (* z (+ (* -1 (+ x y)) (/ x z)))>
#<alt (* -1 (* z (+ x y)))>
#<alt (* -1 (* z (+ x (+ y (* -1 (/ x z))))))>
#<alt (* -1 (* z (+ x (+ y (* -1 (/ x z))))))>
#<alt (* -1 (* z (+ x (+ y (* -1 (/ x z))))))>
#<alt (* -1 (* y z))>
#<alt (+ (* -1 (* y z)) (* x (+ 1 (* -1 z))))>
#<alt (+ (* -1 (* y z)) (* x (+ 1 (* -1 z))))>
#<alt (+ (* -1 (* y z)) (* x (+ 1 (* -1 z))))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (+ (* -1 z) (* -1 (/ (* y z) x)))))>
#<alt (* x (+ 1 (+ (* -1 z) (* -1 (/ (* y z) x)))))>
#<alt (* x (+ 1 (+ (* -1 z) (* -1 (/ (* y z) x)))))>
#<alt (* -1 (* x (- z 1)))>
#<alt (* -1 (* x (- (+ z (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (+ z (/ (* y z) x)) 1)))>
#<alt (* -1 (* x (- (+ z (/ (* y z) x)) 1)))>
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (+ (* -1 (* x z)) (* -1 (* y z))))>
#<alt (+ x (+ (* -1 (* x z)) (* -1 (* y z))))>
#<alt (+ x (+ (* -1 (* x z)) (* -1 (* y z))))>
#<alt (* -1 (* y z))>
#<alt (* y (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y))))>
#<alt (* y (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y))))>
#<alt (* y (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y))))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y (+ z (* -1 (/ (+ x (* -1 (* x z))) y)))))>
#<alt (* -1 (* y (+ z (* -1 (/ (+ x (* -1 (* x z))) y)))))>
#<alt (* -1 (* y (+ z (* -1 (/ (+ x (* -1 (* x 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 y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt y>
#<alt (+ y (* -1 (* z (+ x y))))>
#<alt (+ y (* -1 (* z (+ x y))))>
#<alt (+ y (* -1 (* z (+ x y))))>
#<alt (* -1 (* z (+ x y)))>
#<alt (* z (+ (* -1 (+ x y)) (/ y z)))>
#<alt (* z (+ (* -1 (+ x y)) (/ y z)))>
#<alt (* z (+ (* -1 (+ x y)) (/ y z)))>
#<alt (* -1 (* z (+ x y)))>
#<alt (* -1 (* z (+ x (+ y (* -1 (/ y z))))))>
#<alt (* -1 (* z (+ x (+ y (* -1 (/ y z))))))>
#<alt (* -1 (* z (+ x (+ y (* -1 (/ y z))))))>
#<alt (+ y (* -1 (* y z)))>
#<alt (+ y (+ (* -1 (* x z)) (* -1 (* y z))))>
#<alt (+ y (+ (* -1 (* x z)) (* -1 (* y z))))>
#<alt (+ y (+ (* -1 (* x z)) (* -1 (* y z))))>
#<alt (* -1 (* x z))>
#<alt (* x (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x))))>
#<alt (* x (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x))))>
#<alt (* x (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x))))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x (+ z (* -1 (/ (+ y (* -1 (* y z))) x)))))>
#<alt (* -1 (* x (+ z (* -1 (/ (+ y (* -1 (* y z))) x)))))>
#<alt (* -1 (* x (+ z (* -1 (/ (+ y (* -1 (* y z))) x)))))>
#<alt (* -1 (* x z))>
#<alt (+ (* -1 (* x z)) (* y (+ 1 (* -1 z))))>
#<alt (+ (* -1 (* x z)) (* y (+ 1 (* -1 z))))>
#<alt (+ (* -1 (* x z)) (* y (+ 1 (* -1 z))))>
#<alt (* y (+ 1 (* -1 z)))>
#<alt (* y (+ 1 (+ (* -1 z) (* -1 (/ (* x z) y)))))>
#<alt (* y (+ 1 (+ (* -1 z) (* -1 (/ (* x z) y)))))>
#<alt (* y (+ 1 (+ (* -1 z) (* -1 (/ (* x z) y)))))>
#<alt (* -1 (* y (- z 1)))>
#<alt (* -1 (* y (- (+ z (/ (* x z) y)) 1)))>
#<alt (* -1 (* y (- (+ z (/ (* x z) y)) 1)))>
#<alt (* -1 (* y (- (+ z (/ (* x z) y)) 1)))>
Calls

45 calls:

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

rewrite579.0ms (5.8%)

Memory
9.2MiB live, 764.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
12 500×accelerator-lowering-fma.f32
12 500×accelerator-lowering-fma.f64
5 046×*-lowering-*.f32
5 046×*-lowering-*.f64
3 204×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01440
19736
294734
0870534
Stop Event
iter limit
node limit
Counts
7 → 555
Calls
Call 1
Inputs
(+ (* (- 1 z) x) (* y (- 1 z)))
(- 1 z)
(* y (- 1 z))
(+ (* (- 0 z) (+ x y)) x)
(- 0 z)
(+ x y)
(+ (* (- 0 z) (+ x y)) y)
Outputs
(+.f64 x (-.f64 y (fma.f64 z (+.f64 x y) #s(literal 0 binary64))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
(+.f64 y (-.f64 x (fma.f64 z (+.f64 x y) #s(literal 0 binary64))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) y) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x y))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x y)))))
(+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) x y) (-.f64 #s(literal 0 binary64) (*.f64 z y)))
(+.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) y x) (-.f64 #s(literal 0 binary64) (*.f64 z x)))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x y))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x y))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 y x))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 y x))))
(fma.f64 #s(literal 1 binary64) x (-.f64 y (fma.f64 z (+.f64 x y) #s(literal 0 binary64))))
(fma.f64 #s(literal 1 binary64) y (-.f64 x (fma.f64 z (+.f64 x y) #s(literal 0 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) z) x (*.f64 (-.f64 #s(literal 1 binary64) z) y))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(fma.f64 x #s(literal 1 binary64) (-.f64 y (fma.f64 z (+.f64 x y) #s(literal 0 binary64))))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
(fma.f64 y #s(literal 1 binary64) (-.f64 x (fma.f64 z (+.f64 x y) #s(literal 0 binary64))))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x y))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))) x) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
(fma.f64 (-.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))) y) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(fma.f64 (-.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) x) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
(fma.f64 (-.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) y) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(fma.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) z) y))
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(fma.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (fma.f64 z (fma.f64 z z #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 z (+.f64 x y) #s(literal 0 binary64)) (fma.f64 z (+.f64 x y) #s(literal 0 binary64))) (neg.f64 (fma.f64 z (+.f64 x y) y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (neg.f64 (fma.f64 z (+.f64 x y) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (fma.f64 z (+.f64 x y) #s(literal 0 binary64)) (fma.f64 z (+.f64 x y) #s(literal 0 binary64))) (neg.f64 (fma.f64 z (+.f64 x y) y))) (/.f64 (*.f64 (fma.f64 z (+.f64 x y) #s(literal 0 binary64)) (fma.f64 z (+.f64 x y) #s(literal 0 binary64))) (neg.f64 (fma.f64 z (+.f64 x y) y))) (fma.f64 (/.f64 (*.f64 y y) (neg.f64 (fma.f64 z (+.f64 x y) y))) (/.f64 (*.f64 y y) (neg.f64 (fma.f64 z (+.f64 x y) y))) (*.f64 (/.f64 (*.f64 (fma.f64 z (+.f64 x y) #s(literal 0 binary64)) (fma.f64 z (+.f64 x y) #s(literal 0 binary64))) (neg.f64 (fma.f64 z (+.f64 x y) y))) (/.f64 (*.f64 y y) (neg.f64 (fma.f64 z (+.f64 x y) y)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 z z #s(literal 0 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y y)))) (-.f64 (-.f64 #s(literal 0 binary64) (*.f64 z x)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)))
(/.f64 (-.f64 (*.f64 (-.f64 y (*.f64 z x)) (-.f64 y (*.f64 z x))) (*.f64 (*.f64 y y) (fma.f64 z z #s(literal 0 binary64)))) (-.f64 (-.f64 y (*.f64 z x)) (-.f64 #s(literal 0 binary64) (*.f64 z y))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (fma.f64 z (+.f64 x y) #s(literal 0 binary64)) (fma.f64 z (+.f64 x y) #s(literal 0 binary64))) (neg.f64 (fma.f64 z (+.f64 x y) y))) (/.f64 (*.f64 (fma.f64 z (+.f64 x y) #s(literal 0 binary64)) (fma.f64 z (+.f64 x y) #s(literal 0 binary64))) (neg.f64 (fma.f64 z (+.f64 x y) y)))) (*.f64 (/.f64 (*.f64 y y) (neg.f64 (fma.f64 z (+.f64 x y) y))) (/.f64 (*.f64 y y) (neg.f64 (fma.f64 z (+.f64 x y) y))))) (+.f64 (/.f64 (*.f64 (fma.f64 z (+.f64 x y) #s(literal 0 binary64)) (fma.f64 z (+.f64 x y) #s(literal 0 binary64))) (neg.f64 (fma.f64 z (+.f64 x y) y))) (/.f64 (*.f64 y y) (neg.f64 (fma.f64 z (+.f64 x y) y)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 y (fma.f64 z (+.f64 x y) #s(literal 0 binary64))))
(*.f64 (-.f64 y (fma.f64 z (+.f64 x y) #s(literal 0 binary64))) (*.f64 (neg.f64 (fma.f64 z (+.f64 x y) y)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (+.f64 x y) y)))))
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 (fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64)) (*.f64 (fma.f64 z (+.f64 x y) #s(literal 0 binary64)) (fma.f64 z (+.f64 x y) #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y (fma.f64 z (+.f64 x y) #s(literal 0 binary64))) (*.f64 (fma.f64 z (+.f64 x y) #s(literal 0 binary64)) (fma.f64 z (+.f64 x y) #s(literal 0 binary64))))))
(*.f64 (fma.f64 y (*.f64 y y) (*.f64 (fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64)) (*.f64 (fma.f64 z (+.f64 x y) #s(literal 0 binary64)) (fma.f64 z (+.f64 x y) #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64)) (neg.f64 (fma.f64 z (+.f64 x y) y))))))
(*.f64 (fma.f64 y (+.f64 y (fma.f64 z (+.f64 x y) #s(literal 0 binary64))) (*.f64 (fma.f64 z (+.f64 x y) #s(literal 0 binary64)) (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))) (*.f64 (-.f64 y (fma.f64 z (+.f64 x y) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y (fma.f64 z (+.f64 x y) #s(literal 0 binary64))) (*.f64 (fma.f64 z (+.f64 x y) #s(literal 0 binary64)) (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))))))
(*.f64 (*.f64 (-.f64 y (fma.f64 z (+.f64 x y) #s(literal 0 binary64))) (neg.f64 (fma.f64 z (+.f64 x y) y))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (+.f64 x y) y))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y y) (*.f64 (fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64)) (*.f64 (fma.f64 z (+.f64 x y) #s(literal 0 binary64)) (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y (+.f64 y (fma.f64 z (+.f64 x y) #s(literal 0 binary64))) (*.f64 (fma.f64 z (+.f64 x y) #s(literal 0 binary64)) (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))))))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 y (fma.f64 z (+.f64 x y) #s(literal 0 binary64))) (neg.f64 (fma.f64 z (+.f64 x y) y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 z (+.f64 x y) y)))))
(*.f64 (*.f64 (-.f64 y (fma.f64 z (+.f64 x y) #s(literal 0 binary64))) (+.f64 y (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))))

simplify456.0ms (4.6%)

Memory
-2.9MiB live, 596.8MiB allocated
Algorithm
egg-herbie
Rules
14 256×accelerator-lowering-fma.f32
14 256×accelerator-lowering-fma.f64
2 634×--lowering--.f32
2 634×--lowering--.f64
2 516×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01421105
1488970
21405970
34226970
47320970
08054958
Stop Event
iter limit
node limit
Counts
180 → 180
Calls
Call 1
Inputs
(+ x y)
(+ x (+ y (* z (+ (* -1 x) (* -1 y)))))
(+ x (+ y (* z (+ (* -1 x) (* -1 y)))))
(+ x (+ y (* z (+ (* -1 x) (* -1 y)))))
(* z (+ (* -1 x) (* -1 y)))
(* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z)))))
(* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z)))))
(* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z)))))
(* -1 (* z (+ x y)))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(* y (- 1 z))
(+ (* x (- 1 z)) (* y (- 1 z)))
(+ (* x (- 1 z)) (* y (- 1 z)))
(+ (* x (- 1 z)) (* y (- 1 z)))
(* x (- 1 z))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(* x (- 1 z))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(* x (- 1 z))
(+ (* x (- 1 z)) (* y (- 1 z)))
(+ (* x (- 1 z)) (* y (- 1 z)))
(+ (* x (- 1 z)) (* y (- 1 z)))
(* y (- 1 z))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(* y (- 1 z))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
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))))
(* 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 z))
y
(+ y (* -1 (* y z)))
(+ y (* -1 (* y z)))
(+ y (* -1 (* y z)))
(* -1 (* y z))
(* z (+ (* -1 y) (/ y z)))
(* z (+ (* -1 y) (/ y z)))
(* z (+ (* -1 y) (/ y z)))
(* -1 (* y z))
(* -1 (* z (+ y (* -1 (/ y z)))))
(* -1 (* z (+ y (* -1 (/ y z)))))
(* -1 (* z (+ y (* -1 (/ y z)))))
x
(+ x (* -1 (* z (+ x y))))
(+ x (* -1 (* z (+ x y))))
(+ x (* -1 (* z (+ x y))))
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (/ x z)))
(* z (+ (* -1 (+ x y)) (/ x z)))
(* z (+ (* -1 (+ x y)) (/ x z)))
(* -1 (* z (+ x y)))
(* -1 (* z (+ x (+ y (* -1 (/ x z))))))
(* -1 (* z (+ x (+ y (* -1 (/ x z))))))
(* -1 (* z (+ x (+ y (* -1 (/ x z))))))
(* -1 (* y z))
(+ (* -1 (* y z)) (* x (+ 1 (* -1 z))))
(+ (* -1 (* y z)) (* x (+ 1 (* -1 z))))
(+ (* -1 (* y z)) (* x (+ 1 (* -1 z))))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (+ (* -1 z) (* -1 (/ (* y z) x)))))
(* x (+ 1 (+ (* -1 z) (* -1 (/ (* y z) x)))))
(* x (+ 1 (+ (* -1 z) (* -1 (/ (* y z) x)))))
(* -1 (* x (- z 1)))
(* -1 (* x (- (+ z (/ (* y z) x)) 1)))
(* -1 (* x (- (+ z (/ (* y z) x)) 1)))
(* -1 (* x (- (+ z (/ (* y z) x)) 1)))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* -1 (* y z))))
(+ x (+ (* -1 (* x z)) (* -1 (* y z))))
(+ x (+ (* -1 (* x z)) (* -1 (* y z))))
(* -1 (* y z))
(* y (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y))))
(* y (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y))))
(* y (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y))))
(* -1 (* y z))
(* -1 (* y (+ z (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ z (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ z (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
y
(+ x y)
(+ x y)
(+ x y)
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
(* x (+ 1 (/ y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
x
(+ x y)
(+ x y)
(+ x y)
y
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
(* y (+ 1 (/ x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
y
(+ y (* -1 (* z (+ x y))))
(+ y (* -1 (* z (+ x y))))
(+ y (* -1 (* z (+ x y))))
(* -1 (* z (+ x y)))
(* z (+ (* -1 (+ x y)) (/ y z)))
(* z (+ (* -1 (+ x y)) (/ y z)))
(* z (+ (* -1 (+ x y)) (/ y z)))
(* -1 (* z (+ x y)))
(* -1 (* z (+ x (+ y (* -1 (/ y z))))))
(* -1 (* z (+ x (+ y (* -1 (/ y z))))))
(* -1 (* z (+ x (+ y (* -1 (/ y z))))))
(+ y (* -1 (* y z)))
(+ y (+ (* -1 (* x z)) (* -1 (* y z))))
(+ y (+ (* -1 (* x z)) (* -1 (* y z))))
(+ y (+ (* -1 (* x z)) (* -1 (* y z))))
(* -1 (* x z))
(* x (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x))))
(* x (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x))))
(* x (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x))))
(* -1 (* x z))
(* -1 (* x (+ z (* -1 (/ (+ y (* -1 (* y z))) x)))))
(* -1 (* x (+ z (* -1 (/ (+ y (* -1 (* y z))) x)))))
(* -1 (* x (+ z (* -1 (/ (+ y (* -1 (* y z))) x)))))
(* -1 (* x z))
(+ (* -1 (* x z)) (* y (+ 1 (* -1 z))))
(+ (* -1 (* x z)) (* y (+ 1 (* -1 z))))
(+ (* -1 (* x z)) (* y (+ 1 (* -1 z))))
(* y (+ 1 (* -1 z)))
(* y (+ 1 (+ (* -1 z) (* -1 (/ (* x z) y)))))
(* y (+ 1 (+ (* -1 z) (* -1 (/ (* x z) y)))))
(* y (+ 1 (+ (* -1 z) (* -1 (/ (* x z) y)))))
(* -1 (* y (- z 1)))
(* -1 (* y (- (+ z (/ (* x z) y)) 1)))
(* -1 (* y (- (+ z (/ (* x z) y)) 1)))
(* -1 (* y (- (+ z (/ (* x z) y)) 1)))
Outputs
(+ x y)
(+.f64 x y)
(+ x (+ y (* z (+ (* -1 x) (* -1 y)))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(+ x (+ y (* z (+ (* -1 x) (* -1 y)))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(+ x (+ y (* z (+ (* -1 x) (* -1 y)))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* z (+ (* -1 x) (* -1 y)))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z)))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z)))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z)))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* z (+ x y)))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z))))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* y (- 1 z))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(+ (* x (- 1 z)) (* y (- 1 z)))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(+ (* x (- 1 z)) (* y (- 1 z)))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(+ (* x (- 1 z)) (* y (- 1 z)))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* x (- 1 z))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* x (- 1 z))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x)))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* x (- 1 z))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(+ (* x (- 1 z)) (* y (- 1 z)))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(+ (* x (- 1 z)) (* y (- 1 z)))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(+ (* x (- 1 z)) (* y (- 1 z)))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* y (- 1 z))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* y (- 1 z))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y)))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
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)
(* y (- 1 z))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* y (- 1 z))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* y (- 1 z))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* y (- 1 z))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* y (- 1 z))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* y (- 1 z))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* y (- 1 z))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* y (- 1 z))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* y (- 1 z))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* y (- 1 z))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* y (- 1 z))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* y (- 1 z))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
y
(+ y (* -1 (* y z)))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(+ y (* -1 (* y z)))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(+ y (* -1 (* y z)))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* y z))
(fma.f64 y (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(* z (+ (* -1 y) (/ y z)))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* z (+ (* -1 y) (/ y z)))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* z (+ (* -1 y) (/ y z)))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* y z))
(fma.f64 y (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(* -1 (* z (+ y (* -1 (/ y z)))))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* z (+ y (* -1 (/ y z)))))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* z (+ y (* -1 (/ y z)))))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
x
(+ x (* -1 (* z (+ x y))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) x)
(+ x (* -1 (* z (+ x y))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) x)
(+ x (* -1 (* z (+ x y))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) x)
(* -1 (* z (+ x y)))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(* z (+ (* -1 (+ x y)) (/ x z)))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) x)
(* z (+ (* -1 (+ x y)) (/ x z)))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) x)
(* z (+ (* -1 (+ x y)) (/ x z)))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) x)
(* -1 (* z (+ x y)))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(* -1 (* z (+ x (+ y (* -1 (/ x z))))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) x)
(* -1 (* z (+ x (+ y (* -1 (/ x z))))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) x)
(* -1 (* z (+ x (+ y (* -1 (/ x z))))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) x)
(* -1 (* y z))
(fma.f64 y (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(+ (* -1 (* y z)) (* x (+ 1 (* -1 z))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) x)
(+ (* -1 (* y z)) (* x (+ 1 (* -1 z))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) x)
(+ (* -1 (* y z)) (* x (+ 1 (* -1 z))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) x)
(* x (+ 1 (* -1 z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* x (+ 1 (+ (* -1 z) (* -1 (/ (* y z) x)))))
(fma.f64 x (fma.f64 z (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (+ (* -1 z) (* -1 (/ (* y z) x)))))
(fma.f64 x (fma.f64 z (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (+ (* -1 z) (* -1 (/ (* y z) x)))))
(fma.f64 x (fma.f64 z (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* x (- z 1)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* x (- (+ z (/ (* y z) x)) 1)))
(fma.f64 x (fma.f64 z (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* x (- (+ z (/ (* y z) x)) 1)))
(fma.f64 x (fma.f64 z (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* x (- (+ z (/ (* y z) x)) 1)))
(fma.f64 x (fma.f64 z (-.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) #s(literal 0 binary64))
(+ x (* -1 (* x z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(+ x (+ (* -1 (* x z)) (* -1 (* y z))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) x)
(+ x (+ (* -1 (* x z)) (* -1 (* y z))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) x)
(+ x (+ (* -1 (* x z)) (* -1 (* y z))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) x)
(* -1 (* y z))
(fma.f64 y (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(* y (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) x)
(* y (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) x)
(* y (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) x)
(* -1 (* y z))
(fma.f64 y (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(* -1 (* y (+ z (* -1 (/ (+ x (* -1 (* x z))) y)))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) x)
(* -1 (* y (+ z (* -1 (/ (+ x (* -1 (* x z))) y)))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) x)
(* -1 (* y (+ z (* -1 (/ (+ x (* -1 (* x z))) y)))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) x)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
y
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* x (+ 1 (/ y x)))
(+.f64 x y)
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
x
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
(+ x y)
(+.f64 x y)
y
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* y (+ 1 (/ x y)))
(+.f64 x y)
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
y
(+ y (* -1 (* z (+ x y))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) y)
(+ y (* -1 (* z (+ x y))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) y)
(+ y (* -1 (* z (+ x y))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) y)
(* -1 (* z (+ x y)))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(* z (+ (* -1 (+ x y)) (/ y z)))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) y)
(* z (+ (* -1 (+ x y)) (/ y z)))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) y)
(* z (+ (* -1 (+ x y)) (/ y z)))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) y)
(* -1 (* z (+ x y)))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(* -1 (* z (+ x (+ y (* -1 (/ y z))))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) y)
(* -1 (* z (+ x (+ y (* -1 (/ y z))))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) y)
(* -1 (* z (+ x (+ y (* -1 (/ y z))))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) y)
(+ y (* -1 (* y z)))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(+ y (+ (* -1 (* x z)) (* -1 (* y z))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) y)
(+ y (+ (* -1 (* x z)) (* -1 (* y z))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) y)
(+ y (+ (* -1 (* x z)) (* -1 (* y z))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) y)
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (fma.f64 x z #s(literal 0 binary64)))
(* x (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) y)
(* x (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) y)
(* x (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) y)
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (fma.f64 x z #s(literal 0 binary64)))
(* -1 (* x (+ z (* -1 (/ (+ y (* -1 (* y z))) x)))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) y)
(* -1 (* x (+ z (* -1 (/ (+ y (* -1 (* y z))) x)))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) y)
(* -1 (* x (+ z (* -1 (/ (+ y (* -1 (* y z))) x)))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) y)
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (fma.f64 x z #s(literal 0 binary64)))
(+ (* -1 (* x z)) (* y (+ 1 (* -1 z))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) y)
(+ (* -1 (* x z)) (* y (+ 1 (* -1 z))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) y)
(+ (* -1 (* x z)) (* y (+ 1 (* -1 z))))
(fma.f64 (+.f64 x y) (-.f64 #s(literal 0 binary64) z) y)
(* y (+ 1 (* -1 z)))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* y (+ 1 (+ (* -1 z) (* -1 (/ (* x z) y)))))
(fma.f64 y (fma.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* y (+ 1 (+ (* -1 z) (* -1 (/ (* x z) y)))))
(fma.f64 y (fma.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* y (+ 1 (+ (* -1 z) (* -1 (/ (* x z) y)))))
(fma.f64 y (fma.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* y (- z 1)))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* y (- (+ z (/ (* x z) y)) 1)))
(fma.f64 y (fma.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* y (- (+ z (/ (* x z) y)) 1)))
(fma.f64 y (fma.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* y (- (+ z (/ (* x z) y)) 1)))
(fma.f64 y (fma.f64 z (-.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 0 binary64))

eval112.0ms (1.1%)

Memory
33.2MiB live, 222.3MiB allocated
Compiler

Compiled 18 148 to 1 483 computations (91.8% saved)

prune260.0ms (2.6%)

Memory
-12.3MiB live, 196.8MiB allocated
Pruning

11 alts after pruning (4 fresh and 7 done)

PrunedKeptTotal
New9084912
Fresh101
Picked235
Done044
Total91111922
Accuracy
100.0%
Counts
922 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.8%
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (-.f64 #s(literal 0 binary64) (*.f64 z x)))
99.2%
(fma.f64 (-.f64 #s(literal 1 binary64) z) x (*.f64 y (-.f64 #s(literal 1 binary64) z)))
50.5%
(fma.f64 (-.f64 #s(literal 0 binary64) z) y y)
53.0%
(fma.f64 (-.f64 #s(literal 0 binary64) z) x x)
70.0%
(-.f64 (-.f64 y (*.f64 z x)) (*.f64 z y))
53.5%
(+.f64 y x)
100.0%
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
50.5%
(*.f64 y (-.f64 #s(literal 1 binary64) z))
52.9%
(*.f64 x (-.f64 #s(literal 1 binary64) z))
25.7%
y
30.2%
x
Compiler

Compiled 96 to 64 computations (33.3% saved)

simplify59.0ms (0.6%)

Memory
-2.8MiB live, 35.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff-64
(*.f64 z x)
cost-diff0
(-.f64 #s(literal 0 binary64) (*.f64 z x))
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff384
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (-.f64 #s(literal 0 binary64) (*.f64 z x)))
cost-diff0
(-.f64 #s(literal 0 binary64) z)
cost-diff0
(fma.f64 (-.f64 #s(literal 0 binary64) z) y y)
cost-diff0
(-.f64 #s(literal 0 binary64) z)
cost-diff0
(fma.f64 (-.f64 #s(literal 0 binary64) z) x x)
cost-diff-64
(*.f64 z y)
cost-diff-64
(*.f64 z x)
cost-diff0
(-.f64 y (*.f64 z x))
cost-diff384
(-.f64 (-.f64 y (*.f64 z x)) (*.f64 z y))
Rules
688×accelerator-lowering-fma.f32
688×accelerator-lowering-fma.f64
272×*-lowering-*.f32
272×*-lowering-*.f64
168×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01869
14863
210863
321963
443963
567763
676063
776463
076463
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- (- y (* z x)) (* z y))
(- y (* z x))
y
(* z x)
z
x
(* z y)
(+ (* (- 0 z) x) x)
(- 0 z)
0
z
x
(+ (* (- 0 z) y) y)
(- 0 z)
0
z
y
(+ (* (- 1 z) y) (- 0 (* z x)))
(- 1 z)
1
z
y
(- 0 (* z x))
0
(* z x)
x
Outputs
(- (- y (* z x)) (* z y))
(fma.f64 z (-.f64 (-.f64 #s(literal 0 binary64) x) y) y)
(- y (* z x))
(-.f64 y (fma.f64 z x #s(literal 0 binary64)))
y
(* z x)
(fma.f64 z x #s(literal 0 binary64))
z
x
(* z y)
(fma.f64 y z #s(literal 0 binary64))
(+ (* (- 0 z) x) x)
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(- 0 z)
(-.f64 #s(literal 0 binary64) z)
0
#s(literal 0 binary64)
z
x
(+ (* (- 0 z) y) y)
(fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(- 0 z)
(-.f64 #s(literal 0 binary64) z)
0
#s(literal 0 binary64)
z
y
(+ (* (- 1 z) y) (- 0 (* z x)))
(fma.f64 z (-.f64 (-.f64 #s(literal 0 binary64) x) y) y)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
z
y
(- 0 (* z x))
(fma.f64 z (-.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
0
#s(literal 0 binary64)
(* z x)
(fma.f64 z x #s(literal 0 binary64))
x

localize57.0ms (0.6%)

Memory
19.1MiB live, 96.8MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 1 binary64) z)
accuracy100.0%
(-.f64 #s(literal 0 binary64) (*.f64 z x))
accuracy100.0%
(*.f64 z x)
accuracy98.8%
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (-.f64 #s(literal 0 binary64) (*.f64 z x)))
accuracy100.0%
(fma.f64 (-.f64 #s(literal 0 binary64) z) y y)
accuracy100.0%
(-.f64 #s(literal 0 binary64) z)
accuracy100.0%
(fma.f64 (-.f64 #s(literal 0 binary64) z) x x)
accuracy100.0%
(-.f64 #s(literal 0 binary64) z)
accuracy100.0%
(*.f64 z y)
accuracy100.0%
(*.f64 z x)
accuracy100.0%
(-.f64 y (*.f64 z x))
accuracy98.3%
(-.f64 (-.f64 y (*.f64 z x)) (*.f64 z y))
Samples
35.0ms256×0valid
Compiler

Compiled 75 to 20 computations (73.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-mult: 13.0ms (59.5% of total)
ival-sub: 5.0ms (22.9% of total)
ival-add: 3.0ms (13.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
-16.9MiB live, 21.3MiB allocated
Counts
10 → 252
Calls
Call 1
Inputs
#<alt (- (- y (* z x)) (* z y))>
#<alt (- y (* z x))>
#<alt (* z x)>
#<alt (* z y)>
#<alt (+ (* (- 0 z) x) x)>
#<alt (- 0 z)>
#<alt (+ (* (- 0 z) y) y)>
#<alt (+ (* (- 1 z) y) (- 0 (* z x)))>
#<alt (- 1 z)>
#<alt (- 0 (* z x))>
Outputs
#<alt (* -1 (* x z))>
#<alt (- (* y (- 1 z)) (* x z))>
#<alt (- (* y (- 1 z)) (* x z))>
#<alt (- (* y (- 1 z)) (* x z))>
#<alt (* y (- 1 z))>
#<alt (* y (- (+ 1 (* -1 (/ (* x z) y))) z))>
#<alt (* y (- (+ 1 (* -1 (/ (* x z) y))) z))>
#<alt (* y (- (+ 1 (* -1 (/ (* x z) y))) z))>
#<alt (* y (+ 1 (* -1 z)))>
#<alt (* -1 (* y (- (/ (* x z) y) (+ 1 (* -1 z)))))>
#<alt (* -1 (* y (- (/ (* x z) y) (+ 1 (* -1 z)))))>
#<alt (* -1 (* y (- (/ (* x z) y) (+ 1 (* -1 z)))))>
#<alt y>
#<alt (+ y (* -1 (* z (+ x y))))>
#<alt (+ y (* -1 (* z (+ x y))))>
#<alt (+ y (* -1 (* z (+ x y))))>
#<alt (* -1 (* z (+ x y)))>
#<alt (* z (- (/ y z) (+ x y)))>
#<alt (* z (- (/ y z) (+ x y)))>
#<alt (* z (- (/ y z) (+ x y)))>
#<alt (* z (+ (* -1 x) (* -1 y)))>
#<alt (* -1 (* z (- (* -1 (/ y z)) (+ (* -1 x) (* -1 y)))))>
#<alt (* -1 (* z (- (* -1 (/ y z)) (+ (* -1 x) (* -1 y)))))>
#<alt (* -1 (* z (- (* -1 (/ y z)) (+ (* -1 x) (* -1 y)))))>
#<alt (- y (* y z))>
#<alt (- (+ y (* -1 (* x z))) (* y z))>
#<alt (- (+ y (* -1 (* x z))) (* y z))>
#<alt (- (+ y (* -1 (* x z))) (* y z))>
#<alt (* -1 (* x z))>
#<alt (* x (- (/ y x) (+ z (/ (* y z) x))))>
#<alt (* x (- (/ y x) (+ z (/ (* y z) x))))>
#<alt (* x (- (/ y x) (+ z (/ (* y z) x))))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x (- (* -1 (/ (- y (* y z)) x)) (* -1 z))))>
#<alt (* -1 (* x (- (* -1 (/ (- y (* y z)) x)) (* -1 z))))>
#<alt (* -1 (* x (- (* -1 (/ (- y (* y z)) x)) (* -1 z))))>
#<alt (* -1 (* x z))>
#<alt (- y (* x z))>
#<alt (- y (* x z))>
#<alt (- y (* x z))>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ (* x z) y))))>
#<alt (* y (+ 1 (* -1 (/ (* x z) y))))>
#<alt (* y (+ 1 (* -1 (/ (* x z) y))))>
#<alt y>
#<alt (* -1 (* y (- (/ (* x z) y) 1)))>
#<alt (* -1 (* y (- (/ (* x z) y) 1)))>
#<alt (* -1 (* y (- (/ (* x z) y) 1)))>
#<alt y>
#<alt (+ y (* -1 (* x z)))>
#<alt (+ y (* -1 (* x z)))>
#<alt (+ y (* -1 (* x z)))>
#<alt (* -1 (* x z))>
#<alt (* z (- (/ y z) x))>
#<alt (* z (- (/ y z) x))>
#<alt (* z (- (/ y z) x))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* z (- (* -1 (/ y z)) (* -1 x))))>
#<alt (* -1 (* z (- (* -1 (/ y z)) (* -1 x))))>
#<alt (* -1 (* z (- (* -1 (/ y z)) (* -1 x))))>
#<alt y>
#<alt (+ y (* -1 (* x z)))>
#<alt (+ y (* -1 (* x z)))>
#<alt (+ y (* -1 (* x z)))>
#<alt (* -1 (* x z))>
#<alt (* x (- (/ y x) z))>
#<alt (* x (- (/ y x) z))>
#<alt (* x (- (/ y x) z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x (- (* -1 (/ y x)) (* -1 z))))>
#<alt (* -1 (* x (- (* -1 (/ y x)) (* -1 z))))>
#<alt (* -1 (* x (- (* -1 (/ y x)) (* -1 z))))>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt x>
#<alt (+ x (* -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 (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* x (+ 1 (* -1 z)))>
#<alt (* -1 (* x (- z 1)))>
#<alt (* -1 (* x (- z 1)))>
#<alt (* -1 (* x (- z 1)))>
#<alt (* -1 (* x (- z 1)))>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt y>
#<alt (+ y (* -1 (* y z)))>
#<alt (+ y (* -1 (* y z)))>
#<alt (+ y (* -1 (* y z)))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (/ y z)))>
#<alt (* z (+ (* -1 y) (/ y z)))>
#<alt (* z (+ (* -1 y) (/ y z)))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ y z)))))>
#<alt (* y (+ 1 (* -1 z)))>
#<alt (* y (+ 1 (* -1 z)))>
#<alt (* y (+ 1 (* -1 z)))>
#<alt (* y (+ 1 (* -1 z)))>
#<alt (* y (+ 1 (* -1 z)))>
#<alt (* y (+ 1 (* -1 z)))>
#<alt (* y (+ 1 (* -1 z)))>
#<alt (* y (+ 1 (* -1 z)))>
#<alt (* -1 (* y (- z 1)))>
#<alt (* -1 (* y (- z 1)))>
#<alt (* -1 (* y (- z 1)))>
#<alt (* -1 (* y (- z 1)))>
#<alt y>
#<alt (+ y (* z (- (* -1 y) x)))>
#<alt (+ y (* z (- (* -1 y) x)))>
#<alt (+ y (* z (- (* -1 y) x)))>
#<alt (* z (- (* -1 y) x))>
#<alt (* z (- (+ (* -1 y) (/ y z)) x))>
#<alt (* z (- (+ (* -1 y) (/ y z)) x))>
#<alt (* z (- (+ (* -1 y) (/ y z)) x))>
#<alt (* -1 (* z (- y (* -1 x))))>
#<alt (* -1 (* z (- (+ y (* -1 (/ y z))) (* -1 x))))>
#<alt (* -1 (* z (- (+ y (* -1 (/ y z))) (* -1 x))))>
#<alt (* -1 (* z (- (+ y (* -1 (/ y z))) (* -1 x))))>
#<alt (* -1 (* x z))>
#<alt (- (* y (- 1 z)) (* x z))>
#<alt (- (* y (- 1 z)) (* x z))>
#<alt (- (* y (- 1 z)) (* x z))>
#<alt (* y (- 1 z))>
#<alt (* y (- (+ 1 (* -1 (/ (* x z) y))) z))>
#<alt (* y (- (+ 1 (* -1 (/ (* x z) y))) z))>
#<alt (* y (- (+ 1 (* -1 (/ (* x z) y))) z))>
#<alt (* y (- 1 z))>
#<alt (* -1 (* y (+ (* -1 (- 1 z)) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 (- 1 z)) (/ (* x z) y))))>
#<alt (* -1 (* y (+ (* -1 (- 1 z)) (/ (* x z) y))))>
#<alt (* y (- 1 z))>
#<alt (+ (* -1 (* x z)) (* y (- 1 z)))>
#<alt (+ (* -1 (* x z)) (* y (- 1 z)))>
#<alt (+ (* -1 (* x z)) (* y (- 1 z)))>
#<alt (* -1 (* x z))>
#<alt (* x (- (/ (* y (- 1 z)) x) z))>
#<alt (* x (- (/ (* y (- 1 z)) x) z))>
#<alt (* x (- (/ (* y (- 1 z)) x) z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- 1 z)) x)) (* -1 z))))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- 1 z)) x)) (* -1 z))))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- 1 z)) x)) (* -1 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 (* -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))>
Calls

63 calls:

TimeVariablePointExpression
4.0ms
z
@-inf
(- (- y (* z x)) (* z y))
0.0ms
x
@0
(- (- y (* z x)) (* z y))
0.0ms
y
@0
(- (- y (* z x)) (* z y))
0.0ms
z
@0
(- (- y (* z x)) (* z y))
0.0ms
x
@0
(+ (* (- 0 z) x) x)

rewrite1.4s (13.8%)

Memory
35.2MiB live, 977.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
8 904×accelerator-lowering-fma.f32
8 904×accelerator-lowering-fma.f64
4 668×*-lowering-*.f32
4 668×*-lowering-*.f64
4 598×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01851
113846
2134646
0870646
Stop Event
iter limit
node limit
Counts
10 → 1 472
Calls
Call 1
Inputs
(- (- y (* z x)) (* z y))
(- y (* z x))
(* z x)
(* z y)
(+ (* (- 0 z) x) x)
(- 0 z)
(+ (* (- 0 z) y) y)
(+ (* (- 1 z) y) (- 0 (* z x)))
(- 1 z)
(- 0 (* z x))
Outputs
(+.f64 y (neg.f64 (*.f64 z (+.f64 x y))))
(+.f64 y (fma.f64 z (neg.f64 x) (-.f64 #s(literal 0 binary64) (*.f64 y z))))
(+.f64 y (-.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64)) (*.f64 y z)))
(+.f64 (-.f64 y (fma.f64 z x #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 y z)))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 y z)) (-.f64 y (fma.f64 z x #s(literal 0 binary64))))
(-.f64 y (*.f64 z (+.f64 x y)))
(-.f64 y (-.f64 (fma.f64 z x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y z))))
(-.f64 (-.f64 y (fma.f64 z x #s(literal 0 binary64))) (*.f64 y z))
(-.f64 (/.f64 (*.f64 (-.f64 y (fma.f64 z x #s(literal 0 binary64))) (*.f64 (-.f64 y (fma.f64 z x #s(literal 0 binary64))) (-.f64 y (fma.f64 z x #s(literal 0 binary64))))) (fma.f64 (*.f64 y z) (fma.f64 y z (-.f64 y (fma.f64 z x #s(literal 0 binary64)))) (*.f64 (-.f64 y (fma.f64 z x #s(literal 0 binary64))) (-.f64 y (fma.f64 z x #s(literal 0 binary64)))))) (/.f64 (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))) (fma.f64 (*.f64 y z) (fma.f64 y z (-.f64 y (fma.f64 z x #s(literal 0 binary64)))) (*.f64 (-.f64 y (fma.f64 z x #s(literal 0 binary64))) (-.f64 y (fma.f64 z x #s(literal 0 binary64)))))))
(-.f64 (/.f64 (*.f64 (-.f64 y (fma.f64 z x #s(literal 0 binary64))) (-.f64 y (fma.f64 z x #s(literal 0 binary64)))) (fma.f64 y z (-.f64 y (fma.f64 z x #s(literal 0 binary64))))) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (fma.f64 y z (-.f64 y (fma.f64 z x #s(literal 0 binary64))))))
(-.f64 (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y y (fma.f64 (*.f64 z (+.f64 x y)) (*.f64 z (+.f64 x y)) (*.f64 y (*.f64 z (+.f64 x y)))))) (/.f64 (*.f64 (*.f64 z (+.f64 x y)) (*.f64 (*.f64 z (+.f64 x y)) (*.f64 z (+.f64 x y)))) (fma.f64 y y (fma.f64 (*.f64 z (+.f64 x y)) (*.f64 z (+.f64 x y)) (*.f64 y (*.f64 z (+.f64 x y)))))))
(-.f64 (/.f64 (*.f64 (-.f64 y (fma.f64 z x #s(literal 0 binary64))) (-.f64 y (fma.f64 z x #s(literal 0 binary64)))) (-.f64 (-.f64 y (fma.f64 z x #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 y z)))) (/.f64 (*.f64 y (*.f64 z (*.f64 y z))) (-.f64 (-.f64 y (fma.f64 z x #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 y z)))))
(-.f64 (/.f64 (*.f64 y y) (+.f64 y (*.f64 z (+.f64 x y)))) (/.f64 (*.f64 (*.f64 z (+.f64 x y)) (*.f64 z (+.f64 x y))) (+.f64 y (*.f64 z (+.f64 x y)))))
(fma.f64 y (-.f64 #s(literal 0 binary64) z) (-.f64 y (fma.f64 z x #s(literal 0 binary64))))
(fma.f64 z (neg.f64 y) (-.f64 y (fma.f64 z x #s(literal 0 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) z) y (-.f64 y (fma.f64 z x #s(literal 0 binary64))))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (/.f64 y #s(literal 1 binary64)) (-.f64 y (fma.f64 z x #s(literal 0 binary64))))
(fma.f64 (*.f64 (fma.f64 (fma.f64 z x #s(literal 0 binary64)) (fma.f64 z x y) (*.f64 y y)) (-.f64 y (fma.f64 z x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 z x #s(literal 0 binary64)) (fma.f64 z x y) (*.f64 y y))) (-.f64 #s(literal 0 binary64) (*.f64 y z)))
(fma.f64 (*.f64 (fma.f64 z x y) (-.f64 y (fma.f64 z x #s(literal 0 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 z x y)) (-.f64 #s(literal 0 binary64) (*.f64 y z)))
(fma.f64 (neg.f64 y) z (-.f64 y (fma.f64 z x #s(literal 0 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 y z) (-.f64 y (fma.f64 z x #s(literal 0 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64)))) z) (/.f64 y z) (-.f64 y (fma.f64 z x #s(literal 0 binary64))))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 1 binary64)) (/.f64 y z) (-.f64 y (fma.f64 z x #s(literal 0 binary64))))
(fma.f64 (/.f64 y z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64)))) z) (-.f64 y (fma.f64 z x #s(literal 0 binary64))))
(fma.f64 (/.f64 y z) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 1 binary64)) (-.f64 y (fma.f64 z x #s(literal 0 binary64))))
(fma.f64 (/.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) z) (-.f64 y (fma.f64 z x #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y z) (fma.f64 y z (-.f64 y (fma.f64 z x #s(literal 0 binary64)))) (*.f64 (-.f64 y (fma.f64 z x #s(literal 0 binary64))) (-.f64 y (fma.f64 z x #s(literal 0 binary64))))) (fma.f64 (-.f64 y (fma.f64 z x #s(literal 0 binary64))) (*.f64 (-.f64 y (fma.f64 z x #s(literal 0 binary64))) (-.f64 y (fma.f64 z x #s(literal 0 binary64)))) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y z (-.f64 y (fma.f64 z x #s(literal 0 binary64)))) (*.f64 (fma.f64 y z (-.f64 y (fma.f64 z x #s(literal 0 binary64)))) (-.f64 y (*.f64 z (+.f64 x y))))))
(/.f64 (*.f64 (fma.f64 y z (-.f64 y (fma.f64 z x #s(literal 0 binary64)))) (-.f64 y (*.f64 z (+.f64 x y)))) (fma.f64 y z (-.f64 y (fma.f64 z x #s(literal 0 binary64)))))
(/.f64 (*.f64 (fma.f64 y z (-.f64 y (fma.f64 z x #s(literal 0 binary64)))) (-.f64 y (*.f64 z (+.f64 x y)))) (-.f64 (-.f64 y (fma.f64 z x #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 y z))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y z (-.f64 y (fma.f64 z x #s(literal 0 binary64)))) (-.f64 y (*.f64 z (+.f64 x y))))) (neg.f64 (fma.f64 y z (-.f64 y (fma.f64 z x #s(literal 0 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 y z (-.f64 y (fma.f64 z x #s(literal 0 binary64)))) (-.f64 y (*.f64 z (+.f64 x y))))) (neg.f64 (-.f64 (-.f64 y (fma.f64 z x #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 y z)))))
(/.f64 (fma.f64 (-.f64 y (fma.f64 z x #s(literal 0 binary64))) (*.f64 (-.f64 y (fma.f64 z x #s(literal 0 binary64))) (-.f64 y (fma.f64 z x #s(literal 0 binary64)))) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (fma.f64 (*.f64 y z) (fma.f64 y z (-.f64 y (fma.f64 z x #s(literal 0 binary64)))) (*.f64 (-.f64 y (fma.f64 z x #s(literal 0 binary64))) (-.f64 y (fma.f64 z x #s(literal 0 binary64))))))
(/.f64 (fma.f64 (-.f64 y (fma.f64 z x #s(literal 0 binary64))) (*.f64 (-.f64 y (fma.f64 z x #s(literal 0 binary64))) (-.f64 y (fma.f64 z x #s(literal 0 binary64)))) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))) (fma.f64 (-.f64 y (fma.f64 z x #s(literal 0 binary64))) (-.f64 y (fma.f64 z x #s(literal 0 binary64))) (-.f64 (*.f64 y (*.f64 z (*.f64 y z))) (*.f64 (-.f64 y (fma.f64 z x #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 y z))))))
(/.f64 (-.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 z (+.f64 x y)) (*.f64 (*.f64 z (+.f64 x y)) (*.f64 z (+.f64 x y))))) (fma.f64 y y (fma.f64 (*.f64 z (+.f64 x y)) (*.f64 z (+.f64 x y)) (*.f64 y (*.f64 z (+.f64 x y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 y z) (fma.f64 y z (-.f64 y (fma.f64 z x #s(literal 0 binary64)))) (*.f64 (-.f64 y (fma.f64 z x #s(literal 0 binary64))) (-.f64 y (fma.f64 z x #s(literal 0 binary64))))) (fma.f64 (-.f64 y (fma.f64 z x #s(literal 0 binary64))) (*.f64 (-.f64 y (fma.f64 z x #s(literal 0 binary64))) (-.f64 y (fma.f64 z x #s(literal 0 binary64)))) (*.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 y z (-.f64 y (fma.f64 z x #s(literal 0 binary64)))) (*.f64 (fma.f64 y z (-.f64 y (fma.f64 z x #s(literal 0 binary64)))) (-.f64 y (*.f64 z (+.f64 x y)))))))
(/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 z (+.f64 x y)) (*.f64 z (+.f64 x y)))) (+.f64 y (*.f64 z (+.f64 x y))))
(/.f64 (fma.f64 z z (*.f64 (/.f64 (fma.f64 (fma.f64 z x #s(literal 0 binary64)) (fma.f64 z x y) (*.f64 y y)) (*.f64 (fma.f64 (fma.f64 z x #s(literal 0 binary64)) (fma.f64 z x y) (*.f64 y y)) (-.f64 y (fma.f64 z x #s(literal 0 binary64))))) (*.f64 y (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64))))))) (*.f64 (/.f64 (fma.f64 (fma.f64 z x #s(literal 0 binary64)) (fma.f64 z x y) (*.f64 y y)) (*.f64 (fma.f64 (fma.f64 z x #s(literal 0 binary64)) (fma.f64 z x y) (*.f64 y y)) (-.f64 y (fma.f64 z x #s(literal 0 binary64))))) (fma.f64 z z #s(literal 0 binary64))))
(/.f64 (+.f64 z (*.f64 (/.f64 (fma.f64 (fma.f64 z x #s(literal 0 binary64)) (fma.f64 z x y) (*.f64 y y)) (*.f64 (fma.f64 (fma.f64 z x #s(literal 0 binary64)) (fma.f64 z x y) (*.f64 y y)) (-.f64 y (fma.f64 z x #s(literal 0 binary64))))) (*.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64)))))) (*.f64 (/.f64 (fma.f64 (fma.f64 z x #s(literal 0 binary64)) (fma.f64 z x y) (*.f64 y y)) (*.f64 (fma.f64 (fma.f64 z x #s(literal 0 binary64)) (fma.f64 z x y) (*.f64 y y)) (-.f64 y (fma.f64 z x #s(literal 0 binary64))))) z))
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(*.f64 (/.f64 (pow.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 z z #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 x x)))
(*.f64 (/.f64 (pow.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 (fma.f64 z x #s(literal 0 binary64)) z)) (/.f64 (pow.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64)) #s(literal 3/2 binary64)) x))
(*.f64 (/.f64 (pow.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 (fma.f64 z x #s(literal 0 binary64)) x)) (/.f64 (pow.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64)) #s(literal 3/2 binary64)) z))
(*.f64 (/.f64 (pow.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) z))) (/.f64 (pow.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64)) #s(literal 3/2 binary64)) x))
(*.f64 (/.f64 x z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z (fma.f64 z z #s(literal 0 binary64)))) z))
(*.f64 (/.f64 x z) (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) z))
(*.f64 (/.f64 (fma.f64 z x #s(literal 0 binary64)) z) (/.f64 (fma.f64 z (*.f64 x (fma.f64 z x #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 x (fma.f64 z x #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 z x #s(literal 0 binary64)) x) (/.f64 (fma.f64 z (*.f64 x (fma.f64 z x #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 z (fma.f64 z x #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 z x #s(literal 0 binary64)) x) (/.f64 (fma.f64 z (*.f64 x (fma.f64 z x #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) z) (fma.f64 x (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 z x #s(literal 0 binary64)) (fma.f64 z x #s(literal 0 binary64))) (fma.f64 z x #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 z x #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) z)) (/.f64 (fma.f64 z (*.f64 x (fma.f64 z x #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 z x #s(literal 0 binary64)) (*.f64 x x)) (/.f64 (fma.f64 z (*.f64 x (fma.f64 z x #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 z x #s(literal 0 binary64)) (*.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64)))) (/.f64 (fma.f64 z (*.f64 x (fma.f64 z x #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) z)))
(*.f64 (/.f64 (fma.f64 z x #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64))) (/.f64 (fma.f64 z (*.f64 x (fma.f64 z x #s(literal 0 binary64))) #s(literal 0 binary64)) (*.f64 x x)))
(*.f64 (/.f64 (fma.f64 z x #s(literal 0 binary64)) (*.f64 (fma.f64 z x #s(literal 0 binary64)) z)) (/.f64 (fma.f64 z (*.f64 x (fma.f64 z x #s(literal 0 binary64))) #s(literal 0 binary64)) x))
(*.f64 (/.f64 (fma.f64 z x #s(literal 0 binary64)) (*.f64 (fma.f64 z x #s(literal 0 binary64)) x)) (/.f64 (fma.f64 z (*.f64 x (fma.f64 z x #s(literal 0 binary64))) #s(literal 0 binary64)) z))
(*.f64 (/.f64 (fma.f64 z x #s(literal 0 binary64)) (*.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) z))) (/.f64 (fma.f64 z (*.f64 x (fma.f64 z x #s(literal 0 binary64))) #s(literal 0 binary64)) x))
(*.f64 (/.f64 (*.f64 z (fma.f64 z z #s(literal 0 binary64))) (fma.f64 z x #s(literal 0 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 z x #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 z (fma.f64 z z #s(literal 0 binary64))) (*.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64)))) (/.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 0 binary64) z)))
(*.f64 (/.f64 (*.f64 z (fma.f64 z z #s(literal 0 binary64))) (fma.f64 x (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 z (fma.f64 z z #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) z)) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64)))))
(*.f64 (/.f64 (*.f64 z (fma.f64 z z #s(literal 0 binary64))) (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 z z #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 z (fma.f64 z z #s(literal 0 binary64))) x) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 z (fma.f64 z x #s(literal 0 binary64)))))
(*.f64 (/.f64 (*.f64 z (fma.f64 z z #s(literal 0 binary64))) x) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 0 binary64) z) (fma.f64 x (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64)))))
(*.f64 (/.f64 (*.f64 z (fma.f64 z z #s(literal 0 binary64))) z) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 x (fma.f64 z x #s(literal 0 binary64)))))
(*.f64 (/.f64 (*.f64 z (fma.f64 z z #s(literal 0 binary64))) (*.f64 (fma.f64 z x #s(literal 0 binary64)) z)) (/.f64 (*.f64 x (*.f64 x x)) x))
(*.f64 (/.f64 (*.f64 z (fma.f64 z z #s(literal 0 binary64))) (*.f64 (fma.f64 z x #s(literal 0 binary64)) x)) (/.f64 (*.f64 x (*.f64 x x)) z))
(*.f64 (/.f64 (*.f64 z (fma.f64 z z #s(literal 0 binary64))) (*.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) z))) (/.f64 (*.f64 x (*.f64 x x)) x))
(*.f64 (/.f64 (pow.f64 (fma.f64 z x #s(literal 0 binary64)) #s(literal 3/2 binary64)) z) (/.f64 (pow.f64 (fma.f64 z x #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 x (fma.f64 z x #s(literal 0 binary64)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 z x #s(literal 0 binary64)) #s(literal 3/2 binary64)) x) (/.f64 (pow.f64 (fma.f64 z x #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 z (fma.f64 z x #s(literal 0 binary64)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 z x #s(literal 0 binary64)) #s(literal 3/2 binary64)) x) (/.f64 (pow.f64 (fma.f64 z x #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) z) (fma.f64 x (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 z x #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 z x #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 z x #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 z x #s(literal 0 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 z x #s(literal 0 binary64)) #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) z)) (/.f64 (pow.f64 (fma.f64 z x #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 z x #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 x (fma.f64 x (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64)))) (/.f64 (pow.f64 (fma.f64 z x #s(literal 0 binary64)) #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) z)))
(*.f64 (/.f64 (pow.f64 (fma.f64 z x #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 x (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 z x #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 x (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 z x #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 x x)) (/.f64 (pow.f64 (fma.f64 z x #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 z z #s(literal 0 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 z x #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 z z #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 z x #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 x x)))
(*.f64 (/.f64 (pow.f64 (fma.f64 z x #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 (fma.f64 z x #s(literal 0 binary64)) z)) (/.f64 (pow.f64 (fma.f64 z x #s(literal 0 binary64)) #s(literal 3/2 binary64)) x))
(*.f64 (/.f64 (pow.f64 (fma.f64 z x #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 (fma.f64 z x #s(literal 0 binary64)) x)) (/.f64 (pow.f64 (fma.f64 z x #s(literal 0 binary64)) #s(literal 3/2 binary64)) z))
(*.f64 (/.f64 (pow.f64 (fma.f64 z x #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 (fma.f64 x (-.f64 #s(literal 0 binary64) z) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) z))) (/.f64 (pow.f64 (fma.f64 z x #s(literal 0 binary64)) #s(literal 3/2 binary64)) x))

simplify358.0ms (3.6%)

Memory
-54.7MiB live, 490.9MiB allocated
Algorithm
egg-herbie
Rules
7 440×accelerator-lowering-fma.f32
7 440×accelerator-lowering-fma.f64
2 364×*-lowering-*.f32
2 364×*-lowering-*.f64
1 740×--lowering--.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01161270
13741141
29091141
325901141
449831141
572801141
080761141
Stop Event
iter limit
node limit
Counts
252 → 252
Calls
Call 1
Inputs
(* -1 (* x z))
(- (* y (- 1 z)) (* x z))
(- (* y (- 1 z)) (* x z))
(- (* y (- 1 z)) (* x z))
(* y (- 1 z))
(* y (- (+ 1 (* -1 (/ (* x z) y))) z))
(* y (- (+ 1 (* -1 (/ (* x z) y))) z))
(* y (- (+ 1 (* -1 (/ (* x z) y))) z))
(* y (+ 1 (* -1 z)))
(* -1 (* y (- (/ (* x z) y) (+ 1 (* -1 z)))))
(* -1 (* y (- (/ (* x z) y) (+ 1 (* -1 z)))))
(* -1 (* y (- (/ (* x z) y) (+ 1 (* -1 z)))))
y
(+ y (* -1 (* z (+ x y))))
(+ y (* -1 (* z (+ x y))))
(+ y (* -1 (* z (+ x y))))
(* -1 (* z (+ x y)))
(* z (- (/ y z) (+ x y)))
(* z (- (/ y z) (+ x y)))
(* z (- (/ y z) (+ x y)))
(* z (+ (* -1 x) (* -1 y)))
(* -1 (* z (- (* -1 (/ y z)) (+ (* -1 x) (* -1 y)))))
(* -1 (* z (- (* -1 (/ y z)) (+ (* -1 x) (* -1 y)))))
(* -1 (* z (- (* -1 (/ y z)) (+ (* -1 x) (* -1 y)))))
(- y (* y z))
(- (+ y (* -1 (* x z))) (* y z))
(- (+ y (* -1 (* x z))) (* y z))
(- (+ y (* -1 (* x z))) (* y z))
(* -1 (* x z))
(* x (- (/ y x) (+ z (/ (* y z) x))))
(* x (- (/ y x) (+ z (/ (* y z) x))))
(* x (- (/ y x) (+ z (/ (* y z) x))))
(* -1 (* x z))
(* -1 (* x (- (* -1 (/ (- y (* y z)) x)) (* -1 z))))
(* -1 (* x (- (* -1 (/ (- y (* y z)) x)) (* -1 z))))
(* -1 (* x (- (* -1 (/ (- y (* y z)) x)) (* -1 z))))
(* -1 (* x z))
(- y (* x z))
(- y (* x z))
(- y (* x z))
y
(* y (+ 1 (* -1 (/ (* x z) y))))
(* y (+ 1 (* -1 (/ (* x z) y))))
(* y (+ 1 (* -1 (/ (* x z) y))))
y
(* -1 (* y (- (/ (* x z) y) 1)))
(* -1 (* y (- (/ (* x z) y) 1)))
(* -1 (* y (- (/ (* x z) y) 1)))
y
(+ y (* -1 (* x z)))
(+ y (* -1 (* x z)))
(+ y (* -1 (* x z)))
(* -1 (* x z))
(* z (- (/ y z) x))
(* z (- (/ y z) x))
(* z (- (/ y z) x))
(* -1 (* x z))
(* -1 (* z (- (* -1 (/ y z)) (* -1 x))))
(* -1 (* z (- (* -1 (/ y z)) (* -1 x))))
(* -1 (* z (- (* -1 (/ y z)) (* -1 x))))
y
(+ y (* -1 (* x z)))
(+ y (* -1 (* x z)))
(+ y (* -1 (* x z)))
(* -1 (* x z))
(* x (- (/ y x) z))
(* x (- (/ y x) z))
(* x (- (/ y x) z))
(* -1 (* x z))
(* -1 (* x (- (* -1 (/ y x)) (* -1 z))))
(* -1 (* x (- (* -1 (/ y x)) (* -1 z))))
(* -1 (* x (- (* -1 (/ y x)) (* -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)
(* x z)
(* x z)
(* x z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
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)))))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (* -1 z)))
(* -1 (* x (- z 1)))
(* -1 (* x (- z 1)))
(* -1 (* x (- z 1)))
(* -1 (* x (- z 1)))
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
(* -1 z)
y
(+ y (* -1 (* y z)))
(+ y (* -1 (* y z)))
(+ y (* -1 (* y z)))
(* -1 (* y z))
(* z (+ (* -1 y) (/ y z)))
(* z (+ (* -1 y) (/ y z)))
(* z (+ (* -1 y) (/ y z)))
(* -1 (* y z))
(* -1 (* z (+ y (* -1 (/ y z)))))
(* -1 (* z (+ y (* -1 (/ y z)))))
(* -1 (* z (+ y (* -1 (/ y z)))))
(* y (+ 1 (* -1 z)))
(* y (+ 1 (* -1 z)))
(* y (+ 1 (* -1 z)))
(* y (+ 1 (* -1 z)))
(* y (+ 1 (* -1 z)))
(* y (+ 1 (* -1 z)))
(* y (+ 1 (* -1 z)))
(* y (+ 1 (* -1 z)))
(* -1 (* y (- z 1)))
(* -1 (* y (- z 1)))
(* -1 (* y (- z 1)))
(* -1 (* y (- z 1)))
y
(+ y (* z (- (* -1 y) x)))
(+ y (* z (- (* -1 y) x)))
(+ y (* z (- (* -1 y) x)))
(* z (- (* -1 y) x))
(* z (- (+ (* -1 y) (/ y z)) x))
(* z (- (+ (* -1 y) (/ y z)) x))
(* z (- (+ (* -1 y) (/ y z)) x))
(* -1 (* z (- y (* -1 x))))
(* -1 (* z (- (+ y (* -1 (/ y z))) (* -1 x))))
(* -1 (* z (- (+ y (* -1 (/ y z))) (* -1 x))))
(* -1 (* z (- (+ y (* -1 (/ y z))) (* -1 x))))
(* -1 (* x z))
(- (* y (- 1 z)) (* x z))
(- (* y (- 1 z)) (* x z))
(- (* y (- 1 z)) (* x z))
(* y (- 1 z))
(* y (- (+ 1 (* -1 (/ (* x z) y))) z))
(* y (- (+ 1 (* -1 (/ (* x z) y))) z))
(* y (- (+ 1 (* -1 (/ (* x z) y))) z))
(* y (- 1 z))
(* -1 (* y (+ (* -1 (- 1 z)) (/ (* x z) y))))
(* -1 (* y (+ (* -1 (- 1 z)) (/ (* x z) y))))
(* -1 (* y (+ (* -1 (- 1 z)) (/ (* x z) y))))
(* y (- 1 z))
(+ (* -1 (* x z)) (* y (- 1 z)))
(+ (* -1 (* x z)) (* y (- 1 z)))
(+ (* -1 (* x z)) (* y (- 1 z)))
(* -1 (* x z))
(* x (- (/ (* y (- 1 z)) x) z))
(* x (- (/ (* y (- 1 z)) x) z))
(* x (- (/ (* y (- 1 z)) x) z))
(* -1 (* x z))
(* -1 (* x (- (* -1 (/ (* y (- 1 z)) x)) (* -1 z))))
(* -1 (* x (- (* -1 (/ (* y (- 1 z)) x)) (* -1 z))))
(* -1 (* x (- (* -1 (/ (* y (- 1 z)) x)) (* -1 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))))
(* -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))
Outputs
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (fma.f64 x z #s(literal 0 binary64)))
(- (* y (- 1 z)) (* x z))
(-.f64 y (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
(- (* y (- 1 z)) (* x z))
(-.f64 y (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
(- (* y (- 1 z)) (* x z))
(-.f64 y (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
(* y (- 1 z))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* y (- (+ 1 (* -1 (/ (* x z) y))) z))
(-.f64 y (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
(* y (- (+ 1 (* -1 (/ (* x z) y))) z))
(-.f64 y (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
(* y (- (+ 1 (* -1 (/ (* x z) y))) z))
(-.f64 y (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
(* y (+ 1 (* -1 z)))
(fma.f64 y (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* y (- (/ (* x z) y) (+ 1 (* -1 z)))))
(-.f64 y (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
(* -1 (* y (- (/ (* x z) y) (+ 1 (* -1 z)))))
(-.f64 y (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
(* -1 (* y (- (/ (* x z) y) (+ 1 (* -1 z)))))
(-.f64 y (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
y
(+ y (* -1 (* z (+ x y))))
(-.f64 y (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
(+ y (* -1 (* z (+ x y))))
(-.f64 y (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
(+ y (* -1 (* z (+ x y))))
(-.f64 y (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
(* -1 (* z (+ x y)))
(-.f64 #s(literal 0 binary64) (fma.f64 z (+.f64 x y) #s(literal 0 binary64)))
(* z (- (/ y z) (+ x y)))
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(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (fma.f64 x z #s(literal 0 binary64)))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (fma.f64 x z #s(literal 0 binary64)))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (fma.f64 x z #s(literal 0 binary64)))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (fma.f64 x z #s(literal 0 binary64)))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (fma.f64 x z #s(literal 0 binary64)))

eval298.0ms (3%)

Memory
34.0MiB live, 611.1MiB allocated
Compiler

Compiled 61 511 to 3 865 computations (93.7% saved)

prune272.0ms (2.7%)

Memory
10.9MiB live, 535.5MiB allocated
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New1 84931 852
Fresh000
Picked404
Done257
Total1 85581 863
Accuracy
100.0%
Counts
1 863 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.8%
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 x) z))
99.2%
(fma.f64 (-.f64 #s(literal 1 binary64) z) x (*.f64 y (-.f64 #s(literal 1 binary64) z)))
50.5%
(fma.f64 (neg.f64 z) y y)
53.0%
(fma.f64 (neg.f64 z) x x)
53.5%
(+.f64 y x)
100.0%
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
25.7%
y
30.2%
x
Compiler

Compiled 199 to 78 computations (60.8% saved)

regimes40.0ms (0.4%)

Memory
6.1MiB live, 89.1MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
x
y
(+.f64 y x)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 (neg.f64 z) y y)
(fma.f64 (-.f64 #s(literal 0 binary64) z) x x)
(fma.f64 (-.f64 #s(literal 0 binary64) z) y y)
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 x y) x)
(fma.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 x y) y)
(fma.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 x y) (+.f64 x y))
(-.f64 (-.f64 y (*.f64 z x)) (*.f64 z y))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (neg.f64 x) z))
(fma.f64 (-.f64 #s(literal 1 binary64) z) x (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 x (-.f64 #s(literal 1 binary64) z)))
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (-.f64 #s(literal 0 binary64) (*.f64 z x)))
(/.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 #s(literal 1 binary64) z))
Outputs
(fma.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 x y) (+.f64 x y))
Calls

6 calls:

8.0ms
(-.f64 #s(literal 1 binary64) z)
8.0ms
z
6.0ms
x
6.0ms
y
6.0ms
(+.f64 x y)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
100.0%1(+.f64 x y)
100.0%1(-.f64 #s(literal 1 binary64) z)
Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes55.0ms (0.5%)

Memory
-13.9MiB live, 63.8MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
x
y
(+.f64 y x)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 (neg.f64 z) y y)
(fma.f64 (-.f64 #s(literal 0 binary64) z) x x)
(fma.f64 (-.f64 #s(literal 0 binary64) z) y y)
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 x y) x)
(fma.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 x y) y)
Outputs
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Calls

6 calls:

32.0ms
z
4.0ms
y
4.0ms
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
4.0ms
x
4.0ms
(+.f64 x y)
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
100.0%1(+.f64 x y)
100.0%1(-.f64 #s(literal 1 binary64) z)
Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes25.0ms (0.2%)

Memory
-15.8MiB live, 63.8MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
x
y
(+.f64 y x)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 (neg.f64 z) y y)
(fma.f64 (-.f64 #s(literal 0 binary64) z) x x)
(fma.f64 (-.f64 #s(literal 0 binary64) z) y y)
Outputs
(fma.f64 (neg.f64 z) x x)
(fma.f64 (neg.f64 z) y y)
Calls

6 calls:

6.0ms
(+.f64 x y)
5.0ms
x
3.0ms
y
3.0ms
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
3.0ms
z
Results
AccuracySegmentsBranch
86.8%2x
86.7%2y
82.3%5z
77.7%2(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
98.3%2(+.f64 x y)
82.3%5(-.f64 #s(literal 1 binary64) z)
Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes3.0ms (0%)

Memory
8.8MiB live, 8.8MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
x
y
(+.f64 y x)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
(fma.f64 (neg.f64 z) x x)
Outputs
(fma.f64 (neg.f64 z) x x)
(*.f64 y (-.f64 #s(literal 1 binary64) z))
Calls

1 calls:

3.0ms
(+.f64 x y)
Results
AccuracySegmentsBranch
98.3%2(+.f64 x y)
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Memory
7.7MiB live, 7.7MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
x
y
(+.f64 y x)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
Calls

1 calls:

2.0ms
(+.f64 x y)
Results
AccuracySegmentsBranch
98.3%2(+.f64 x y)
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes15.0ms (0.1%)

Memory
-2.9MiB live, 35.7MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
x
y
(+.f64 y x)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+.f64 y x)
Calls

6 calls:

4.0ms
y
2.0ms
(+.f64 x y)
2.0ms
x
2.0ms
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
2.0ms
z
Results
AccuracySegmentsBranch
75.5%3(-.f64 #s(literal 1 binary64) z)
75.5%3z
69.3%3(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
69.8%2y
70.8%2x
75.3%2(+.f64 x y)
Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes13.0ms (0.1%)

Memory
-3.5MiB live, 34.8MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
x
y
(+.f64 y x)
Outputs
(+.f64 y x)
Calls

6 calls:

3.0ms
x
2.0ms
y
2.0ms
(+.f64 x y)
2.0ms
z
2.0ms
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Results
AccuracySegmentsBranch
53.5%1(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
53.5%1y
53.5%1x
53.5%1z
53.5%1(-.f64 #s(literal 1 binary64) z)
53.5%1(+.f64 x y)
Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes10.0ms (0.1%)

Memory
24.9MiB live, 24.9MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
x
y
Outputs
x
y
Calls

6 calls:

2.0ms
(+.f64 x y)
2.0ms
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
2.0ms
z
2.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
32.5%2z
47.5%2x
53.0%2(+.f64 x y)
48.2%2y
53.4%2(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
30.2%1(-.f64 #s(literal 1 binary64) z)
Compiler

Compiled 34 to 25 computations (26.5% saved)

regimes13.0ms (0.1%)

Memory
-33.1MiB live, 16.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

8.0ms
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
1.0ms
(+.f64 x y)
1.0ms
y
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
30.2%1z
30.2%1x
30.2%1y
30.2%1(+.f64 x y)
30.2%1(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.7612578717546437e-269
2.512890504721002e-290
Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.7612578717546437e-269
2.512890504721002e-290
Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.7612578717546437e-269
2.512890504721002e-290
Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.512890504721002e-290
7.466241607264008e-267
Compiler

Compiled 13 to 13 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.7612578717546437e-269
7.466241607264008e-267
Compiler

Compiled 13 to 13 computations (0% saved)

simplify8.0ms (0.1%)

Memory
19.2MiB live, 19.2MiB allocated
Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
1-exp_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02694
13794
24094
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 x y) (+.f64 x y))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(if (<=.f64 (+.f64 x y) #s(literal -1487016908477783/148701690847778306279806249814990056013126020165939445905577185931594065716040437354516831449615635058979872379019297305045458524554490570779083058110239462578297084044745987394268640983429773687023919578235143720606774870687788008815709894034865808301204510545414391282376534881468416 binary64)) (fma.f64 (neg.f64 z) x x) (fma.f64 (neg.f64 z) y y))
(if (<=.f64 (+.f64 x y) #s(literal -1487016908477783/148701690847778306279806249814990056013126020165939445905577185931594065716040437354516831449615635058979872379019297305045458524554490570779083058110239462578297084044745987394268640983429773687023919578235143720606774870687788008815709894034865808301204510545414391282376534881468416 binary64)) (fma.f64 (neg.f64 z) x x) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(if (<=.f64 (+.f64 x y) #s(literal -1487016908477783/148701690847778306279806249814990056013126020165939445905577185931594065716040437354516831449615635058979872379019297305045458524554490570779083058110239462578297084044745987394268640983429773687023919578235143720606774870687788008815709894034865808301204510545414391282376534881468416 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(if (<=.f64 (+.f64 x y) #s(literal 4388899255034951/87777985100699018932094980018995348321190282174917313121792031815299158108154767154642811192581804697812555605405953787919330941803914366451585659491930724793831979211360100232569443164670944394264200660197756723065503262862530703844684136006263299396167241545208153437474241180898298976970388832824328192 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) z)) (+.f64 y x))
(+.f64 y x)
(if (<=.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #s(literal -1487016908477783/148701690847778306279806249814990056013126020165939445905577185931594065716040437354516831449615635058979872379019297305045458524554490570779083058110239462578297084044745987394268640983429773687023919578235143720606774870687788008815709894034865808301204510545414391282376534881468416 binary64)) x y)
x
Outputs
(fma.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 x y) (+.f64 x y))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z))
(if (<=.f64 (+.f64 x y) #s(literal -1487016908477783/148701690847778306279806249814990056013126020165939445905577185931594065716040437354516831449615635058979872379019297305045458524554490570779083058110239462578297084044745987394268640983429773687023919578235143720606774870687788008815709894034865808301204510545414391282376534881468416 binary64)) (fma.f64 (neg.f64 z) x x) (fma.f64 (neg.f64 z) y y))
(if (<=.f64 (+.f64 x y) #s(literal -1487016908477783/148701690847778306279806249814990056013126020165939445905577185931594065716040437354516831449615635058979872379019297305045458524554490570779083058110239462578297084044745987394268640983429773687023919578235143720606774870687788008815709894034865808301204510545414391282376534881468416 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) z) x x) (fma.f64 (-.f64 #s(literal 0 binary64) z) y y))
(if (<=.f64 (+.f64 x y) #s(literal -1487016908477783/148701690847778306279806249814990056013126020165939445905577185931594065716040437354516831449615635058979872379019297305045458524554490570779083058110239462578297084044745987394268640983429773687023919578235143720606774870687788008815709894034865808301204510545414391282376534881468416 binary64)) (fma.f64 (neg.f64 z) x x) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(if (<=.f64 (+.f64 x y) #s(literal -1487016908477783/148701690847778306279806249814990056013126020165939445905577185931594065716040437354516831449615635058979872379019297305045458524554490570779083058110239462578297084044745987394268640983429773687023919578235143720606774870687788008815709894034865808301204510545414391282376534881468416 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) z) x x) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(if (<=.f64 (+.f64 x y) #s(literal -1487016908477783/148701690847778306279806249814990056013126020165939445905577185931594065716040437354516831449615635058979872379019297305045458524554490570779083058110239462578297084044745987394268640983429773687023919578235143720606774870687788008815709894034865808301204510545414391282376534881468416 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) z)) (*.f64 y (-.f64 #s(literal 1 binary64) z)))
(if (<=.f64 (+.f64 x y) #s(literal 4388899255034951/87777985100699018932094980018995348321190282174917313121792031815299158108154767154642811192581804697812555605405953787919330941803914366451585659491930724793831979211360100232569443164670944394264200660197756723065503262862530703844684136006263299396167241545208153437474241180898298976970388832824328192 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) z)) (+.f64 y x))
(if (<=.f64 (+.f64 x y) #s(literal 4388899255034951/87777985100699018932094980018995348321190282174917313121792031815299158108154767154642811192581804697812555605405953787919330941803914366451585659491930724793831979211360100232569443164670944394264200660197756723065503262862530703844684136006263299396167241545208153437474241180898298976970388832824328192 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) z)) (+.f64 x y))
(+.f64 y x)
(+.f64 x y)
(if (<=.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #s(literal -1487016908477783/148701690847778306279806249814990056013126020165939445905577185931594065716040437354516831449615635058979872379019297305045458524554490570779083058110239462578297084044745987394268640983429773687023919578235143720606774870687788008815709894034865808301204510545414391282376534881468416 binary64)) x y)
x

soundness1.3s (13.5%)

Memory
-11.8MiB live, 791.7MiB allocated
Rules
17 404×accelerator-lowering-fma.f32
17 404×accelerator-lowering-fma.f64
14 256×accelerator-lowering-fma.f32
14 256×accelerator-lowering-fma.f64
12 146×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065326
1213326
2683326
32185326
45144326
57956326
08679326
01712154
15611836
216981776
367831776
080551722
0713
13813
230413
3402713
0959313
01851
113846
2134646
0870646
01421105
1488970
21405970
34226970
47320970
08054958
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 311 to 159 computations (48.9% saved)

preprocess80.0ms (0.8%)

Memory
-16.6MiB live, 137.6MiB allocated
Remove

(sort x y)

Compiler

Compiled 300 to 104 computations (65.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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