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

Time bar (total: 11.7s)

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 10 computations (9.1% saved)

sample862.0ms (7.4%)

Memory
-0.9MiB live, 1 120.9MiB allocated
Samples
635.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 385.0ms
ival-sub: 261.0ms (67.8% of total)
ival-mult: 109.0ms (28.3% of total)
ival-true: 6.0ms (1.6% of total)
exact: 5.0ms (1.3% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

preprocess229.0ms (2%)

Memory
4.9MiB live, 163.7MiB allocated
Algorithm
2×egg-herbie
Rules
1 608×unsub-neg
1 232×accelerator-lowering-fma.f32
1 232×accelerator-lowering-fma.f64
780×distribute-lft-in
684×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03397
110691
228690
3116390
4270490
5408390
6449290
7469990
8478590
9481790
10487990
11487990
12487990
13497790
14500590
089
1199
2489
31499
44389
59409
613369
716419
816749
916749
016748
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(* x (- 1 (* (- 1 y) z)))
Outputs
(* x (- 1 (* (- 1 y) z)))
(fma.f64 x (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
Call 2
Inputs
(* x (- 1 (* (- 1 y) z)))
(* (neg x) (- 1 (* (- 1 y) z)))
(* x (- 1 (* (- 1 (neg y)) z)))
(* x (- 1 (* (- 1 y) (neg z))))
(neg (* (neg x) (- 1 (* (- 1 y) z))))
(neg (* x (- 1 (* (- 1 (neg y)) z))))
(neg (* x (- 1 (* (- 1 y) (neg z)))))
(* y (- 1 (* (- 1 x) z)))
(* z (- 1 (* (- 1 y) x)))
(* x (- 1 (* (- 1 z) y)))
Outputs
(* x (- 1 (* (- 1 y) z)))
(* x (+ 1 (- (* y z) z)))
(* (neg x) (- 1 (* (- 1 y) z)))
(* x (+ z (- -1 (* y z))))
(* x (- 1 (* (- 1 (neg y)) z)))
(* x (- (- 1 (* y z)) z))
(* x (- 1 (* (- 1 y) (neg z))))
(* x (+ 1 (- z (* y z))))
(neg (* (neg x) (- 1 (* (- 1 y) z))))
(* x (+ 1 (- (* y z) z)))
(neg (* x (- 1 (* (- 1 (neg y)) z))))
(* x (+ z (+ -1 (* y z))))
(neg (* x (- 1 (* (- 1 y) (neg z)))))
(* x (+ (- (* y z) z) -1))
(* y (- 1 (* (- 1 x) z)))
(* y (+ (- 1 z) (* x z)))
(* z (- 1 (* (- 1 y) x)))
(* z (+ 1 (* x (+ y -1))))
(* x (- 1 (* (- 1 z) y)))
(+ x (* x (* y (+ z -1))))
Symmetry

(negabs x)

explain87.0ms (0.7%)

Memory
27.5MiB live, 220.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
120-0-(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
00-0-(-.f64 #s(literal 1 binary64) y)
00-0-(*.f64 (-.f64 #s(literal 1 binary64) y) z)
00-0-y
00-0-#s(literal 1 binary64)
00-0-z
00-0-(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))n*o120
Confusion
Predicted +Predicted -
+120
-0244
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+1200
-00244
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0244
112
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
28.0ms512×0valid
Compiler

Compiled 84 to 36 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 6.0ms (49.4% of total)
ival-sub: 5.0ms (41.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval2.0ms (0%)

Memory
-42.6MiB live, 0.5MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶95.5%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify100.0ms (0.9%)

Memory
30.2MiB live, 109.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
✓cost-diff-64
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
✓cost-diff0
(-.f64 #s(literal 1 binary64) y)
✓cost-diff192
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
Rules
1 232×accelerator-lowering-fma.f32
1 232×accelerator-lowering-fma.f64
496×*-lowering-*.f32
496×*-lowering-*.f64
442×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0828
11928
24828
314928
443828
594028
6133628
7164128
8167428
9167428
0167426
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* x (- 1 (* (- 1 y) z)))
x
(- 1 (* (- 1 y) z))
1
(* (- 1 y) z)
(- 1 y)
y
z
Outputs
(* x (- 1 (* (- 1 y) z)))
(fma.f64 x (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
x
(- 1 (* (- 1 y) z))
(fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* (- 1 y) z)
(fma.f64 (-.f64 #s(literal 1 binary64) y) z #s(literal 0 binary64))
(- 1 y)
(-.f64 #s(literal 1 binary64) y)
y
z

localize29.0ms (0.2%)

Memory
-32.5MiB live, 61.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) y)
✓accuracy100.0%
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
✓accuracy95.5%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
Samples
15.0ms256×0valid
Compiler

Compiled 30 to 10 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 3.0ms (49.4% of total)
ival-mult: 3.0ms (49.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
13.2MiB live, 13.2MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (- 1 (* (- 1 y) z))>
#<alt (- 1 y)>
#<alt (* x (- 1 (* (- 1 y) z)))>
#<alt (* (- 1 y) z)>
Outputs
#<alt (- 1 z)>
#<alt (- (+ 1 (* y z)) z)>
#<alt (- (+ 1 (* y z)) z)>
#<alt (- (+ 1 (* y z)) z)>
#<alt (* y z)>
#<alt (* y (- (/ 1 y) (+ (* -1 z) (/ z y))))>
#<alt (* y (- (/ 1 y) (+ (* -1 z) (/ z y))))>
#<alt (* y (- (/ 1 y) (+ (* -1 z) (/ z y))))>
#<alt (* y z)>
#<alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))>
#<alt 1>
#<alt (+ 1 (* z (- y 1)))>
#<alt (+ 1 (* z (- y 1)))>
#<alt (+ 1 (* z (- y 1)))>
#<alt (* z (- y 1))>
#<alt (* z (- (+ y (/ 1 z)) 1))>
#<alt (* z (- (+ y (/ 1 z)) 1))>
#<alt (* z (- (+ y (/ 1 z)) 1))>
#<alt (* -1 (* z (- 1 y)))>
#<alt (* z (+ (* -1 (- 1 y)) (/ 1 z)))>
#<alt (* z (+ (* -1 (- 1 y)) (/ 1 z)))>
#<alt (* z (+ (* -1 (- 1 y)) (/ 1 z)))>
#<alt 1>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (+ 1 (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* y (- (/ 1 y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* -1 (* y (- 1 (/ 1 y))))>
#<alt (* x (- 1 (* z (- 1 y))))>
#<alt (* x (- 1 (* z (- 1 y))))>
#<alt (* x (- 1 (* z (- 1 y))))>
#<alt (* x (- 1 (* z (- 1 y))))>
#<alt (* x (- 1 (* z (- 1 y))))>
#<alt (* x (- 1 (* z (- 1 y))))>
#<alt (* x (- 1 (* z (- 1 y))))>
#<alt (* x (- 1 (* z (- 1 y))))>
#<alt (* x (- 1 (* z (- 1 y))))>
#<alt (* x (- 1 (* z (- 1 y))))>
#<alt (* x (- 1 (* z (- 1 y))))>
#<alt (* x (- 1 (* z (- 1 y))))>
#<alt (* x (- 1 z))>
#<alt (+ (* x (* y z)) (* x (- 1 z)))>
#<alt (+ (* x (* y z)) (* x (- 1 z)))>
#<alt (+ (* x (* y z)) (* x (- 1 z)))>
#<alt (* x (* y z))>
#<alt (* y (+ (* x z) (/ (* x (- 1 z)) y)))>
#<alt (* y (+ (* x z) (/ (* x (- 1 z)) y)))>
#<alt (* y (+ (* x z) (/ (* x (- 1 z)) y)))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))>
#<alt x>
#<alt (+ x (* x (* z (- y 1))))>
#<alt (+ x (* x (* z (- y 1))))>
#<alt (+ x (* x (* z (- y 1))))>
#<alt (* x (* z (- y 1)))>
#<alt (* z (+ (* x (- y 1)) (/ x z)))>
#<alt (* z (+ (* x (- y 1)) (/ x z)))>
#<alt (* z (+ (* x (- y 1)) (/ x z)))>
#<alt (* -1 (* x (* z (- 1 y))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))>
#<alt z>
#<alt (+ z (* -1 (* y z)))>
#<alt (+ z (* -1 (* y z)))>
#<alt (+ z (* -1 (* y z)))>
#<alt (* -1 (* y z))>
#<alt (* y (+ (* -1 z) (/ z y)))>
#<alt (* y (+ (* -1 z) (/ z y)))>
#<alt (* y (+ (* -1 z) (/ z y)))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y (+ z (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ z (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ z (* -1 (/ z y)))))>
#<alt (* z (- 1 y))>
#<alt (* z (- 1 y))>
#<alt (* z (- 1 y))>
#<alt (* z (- 1 y))>
#<alt (* z (- 1 y))>
#<alt (* z (- 1 y))>
#<alt (* z (- 1 y))>
#<alt (* z (- 1 y))>
#<alt (* z (- 1 y))>
#<alt (* z (- 1 y))>
#<alt (* z (- 1 y))>
#<alt (* z (- 1 y))>
Calls

24 calls:

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

rewrite467.0ms (4%)

Memory
26.9MiB live, 732.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 326×accelerator-lowering-fma.f32
4 326×accelerator-lowering-fma.f64
3 522×/-lowering-/.f32
3 522×/-lowering-/.f64
3 346×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
14224
232424
3354024
0942022
Stop Event
1×iter limit
1×node limit
Counts
4 → 445
Calls
Call 1
Inputs
(- 1 (* (- 1 y) z))
(- 1 y)
(* x (- 1 (* (- 1 y) z)))
(* (- 1 y) z)
Outputs
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) y)))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 z (+.f64 y #s(literal -1 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) z)))
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 y #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) z)) (+.f64 #s(literal 1 binary64) y)))
(+.f64 z (fma.f64 z (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)))
(+.f64 (*.f64 z (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(+.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) (*.f64 z (+.f64 y #s(literal -1 binary64)))))) (fma.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z))) (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))))
(+.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z (-.f64 #s(literal 0 binary64) y)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) y)))
(-.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 z (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) #s(literal 1 binary64))) (/.f64 (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) (*.f64 z (+.f64 y #s(literal -1 binary64)))))) (fma.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z))) (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(-.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 z (-.f64 #s(literal 0 binary64) y)))
(fma.f64 #s(literal 1 binary64) z (fma.f64 z (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) (*.f64 z (+.f64 y #s(literal -1 binary64)))))) (fma.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z))) (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))))
(fma.f64 z #s(literal 1 binary64) (fma.f64 z (-.f64 #s(literal 0 binary64) y) #s(literal 1 binary64)))
(fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 z (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (*.f64 z (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) (*.f64 z (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z))) (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))))
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) z)) #s(literal 1 binary64))
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) z) #s(literal 1 binary64))
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 z (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 z (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z))) (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 0 binary64) z)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) z) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) y) z #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64))
(fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 z z))) (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
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(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) z))
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 z (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) z))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z (+.f64 #s(literal 1 binary64) y)))
(*.f64 (+.f64 #s(literal 1 binary64) y) z)
(*.f64 (*.f64 z (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))))
(*.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (*.f64 z (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (*.f64 (fma.f64 y y y) (fma.f64 y y y)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 z (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y y) (fma.f64 y y y)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(*.f64 (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 z (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) z) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (pow.f64 (/.f64 z (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 z (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (/.f64 (*.f64 z (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (*.f64 (fma.f64 y y y) (fma.f64 y y y)) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 z (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y y) (fma.f64 y y y)))) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 y (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log1p.f64 y)))
(*.f64 (exp.f64 (log1p.f64 y)) (exp.f64 (log.f64 z)))

simplify357.0ms (3.1%)

Memory
-1.4MiB live, 388.4MiB allocated
Algorithm
1×egg-herbie
Rules
7 140×accelerator-lowering-fma.f32
7 140×accelerator-lowering-fma.f64
2 672×*-lowering-*.f32
2 672×*-lowering-*.f64
1 336×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074613
1234592
2629592
31393592
44050592
56295592
67515592
08013544
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
Calls
Call 1
Inputs
(- 1 z)
(- (+ 1 (* y z)) z)
(- (+ 1 (* y z)) z)
(- (+ 1 (* y z)) z)
(* y z)
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(* y z)
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
1
(+ 1 (* z (- y 1)))
(+ 1 (* z (- y 1)))
(+ 1 (* z (- y 1)))
(* z (- y 1))
(* z (- (+ y (/ 1 z)) 1))
(* z (- (+ y (/ 1 z)) 1))
(* z (- (+ y (/ 1 z)) 1))
(* -1 (* z (- 1 y)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 (* z (- 1 y))))
(* x (- 1 z))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(* x (* y z))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* -1 (* x (* z (- 1 y))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
z
(+ z (* -1 (* y z)))
(+ z (* -1 (* y z)))
(+ z (* -1 (* y z)))
(* -1 (* y z))
(* y (+ (* -1 z) (/ z y)))
(* y (+ (* -1 z) (/ z y)))
(* y (+ (* -1 z) (/ z y)))
(* -1 (* y z))
(* -1 (* y (+ z (* -1 (/ z y)))))
(* -1 (* y (+ z (* -1 (/ z y)))))
(* -1 (* y (+ z (* -1 (/ z y)))))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
(* z (- 1 y))
Outputs
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
(- (+ 1 (* y z)) z)
(fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(- (+ 1 (* y z)) z)
(fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(- (+ 1 (* y z)) z)
(fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(* y (- (/ 1 y) (+ (* -1 z) (/ z y))))
(fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) z)))
(fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* z (- y 1)))
(fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* z (- y 1)))
(fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* z (- y 1)))
(fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(* z (- y 1))
(fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* z (- (+ y (/ 1 z)) 1))
(fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(* z (- (+ y (/ 1 z)) 1))
(fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(* z (- (+ y (/ 1 z)) 1))
(fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(* -1 (* z (- 1 y)))
(fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
(* z (+ (* -1 (- 1 y)) (/ 1 z)))
(fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* x (- 1 (* z (- 1 y))))
(fma.f64 (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x #s(literal 0 binary64))
(* x (- 1 (* z (- 1 y))))
(fma.f64 (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x #s(literal 0 binary64))
(* x (- 1 (* z (- 1 y))))
(fma.f64 (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x #s(literal 0 binary64))
(* x (- 1 (* z (- 1 y))))
(fma.f64 (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x #s(literal 0 binary64))
(* x (- 1 (* z (- 1 y))))
(fma.f64 (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x #s(literal 0 binary64))
(* x (- 1 (* z (- 1 y))))
(fma.f64 (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x #s(literal 0 binary64))
(* x (- 1 (* z (- 1 y))))
(fma.f64 (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x #s(literal 0 binary64))
(* x (- 1 (* z (- 1 y))))
(fma.f64 (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x #s(literal 0 binary64))
(* x (- 1 (* z (- 1 y))))
(fma.f64 (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x #s(literal 0 binary64))
(* x (- 1 (* z (- 1 y))))
(fma.f64 (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x #s(literal 0 binary64))
(* x (- 1 (* z (- 1 y))))
(fma.f64 (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x #s(literal 0 binary64))
(* x (- 1 (* z (- 1 y))))
(fma.f64 (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x #s(literal 0 binary64))
(* x (- 1 z))
(fma.f64 (-.f64 #s(literal 1 binary64) z) x #s(literal 0 binary64))
(+ (* x (* y z)) (* x (- 1 z)))
(fma.f64 (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x #s(literal 0 binary64))
(+ (* x (* y z)) (* x (- 1 z)))
(fma.f64 (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x #s(literal 0 binary64))
(+ (* x (* y z)) (* x (- 1 z)))
(fma.f64 (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x #s(literal 0 binary64))
(* x (* y z))
(fma.f64 z (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(fma.f64 (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x #s(literal 0 binary64))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(fma.f64 (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x #s(literal 0 binary64))
(* y (+ (* x z) (/ (* x (- 1 z)) y)))
(fma.f64 (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x #s(literal 0 binary64))
(* x (* y z))
(fma.f64 z (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(fma.f64 (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(fma.f64 (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (- 1 z)) y)))))
(fma.f64 (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x #s(literal 0 binary64))
x
(+ x (* x (* z (- y 1))))
(fma.f64 (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x #s(literal 0 binary64))
(+ x (* x (* z (- y 1))))
(fma.f64 (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x #s(literal 0 binary64))
(+ x (* x (* z (- y 1))))
(fma.f64 (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x #s(literal 0 binary64))
(* x (* z (- y 1)))
(fma.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 z x #s(literal 0 binary64)) #s(literal 0 binary64))
(* z (+ (* x (- y 1)) (/ x z)))
(fma.f64 (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x #s(literal 0 binary64))
(* z (+ (* x (- y 1)) (/ x z)))
(fma.f64 (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x #s(literal 0 binary64))
(* z (+ (* x (- y 1)) (/ x z)))
(fma.f64 (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x #s(literal 0 binary64))
(* -1 (* x (* z (- 1 y))))
(fma.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 z x #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(fma.f64 (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(fma.f64 (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (/ x z)) (* x (- 1 y)))))
(fma.f64 (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x #s(literal 0 binary64))
z
(+ z (* -1 (* y z)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(+ z (* -1 (* y z)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(+ z (* -1 (* y z)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (fma.f64 z y #s(literal 0 binary64)))
(* y (+ (* -1 z) (/ z y)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* y (+ (* -1 z) (/ z y)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* y (+ (* -1 z) (/ z y)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* -1 (* y z))
(-.f64 #s(literal 0 binary64) (fma.f64 z y #s(literal 0 binary64)))
(* -1 (* y (+ z (* -1 (/ z y)))))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* -1 (* y (+ z (* -1 (/ z y)))))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* -1 (* y (+ z (* -1 (/ z y)))))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* z (- 1 y))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* z (- 1 y))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* z (- 1 y))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* z (- 1 y))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* z (- 1 y))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* z (- 1 y))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* z (- 1 y))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* z (- 1 y))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* z (- 1 y))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* z (- 1 y))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* z (- 1 y))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(* z (- 1 y))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))

eval121.0ms (1%)

Memory
-32.6MiB live, 151.9MiB allocated
Compiler

Compiled 15 239 to 1 724 computations (88.7% saved)

prune180.0ms (1.5%)

Memory
4.4MiB live, 160.4MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New5338541
Fresh000
Picked101
Done000
Total5348542
Accuracy
100.0%
Counts
542 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.2%
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
95.5%
(fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x)
▶96.2%
(fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) z x)
41.3%
(fma.f64 z (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))
▶37.8%
(*.f64 x (fma.f64 z y #s(literal 0 binary64)))
▶80.5%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z (+.f64 #s(literal 1 binary64) y)))))
63.3%
(*.f64 x (-.f64 #s(literal 1 binary64) z))
▶39.2%
x
Compiler

Compiled 164 to 106 computations (35.4% saved)

simplify302.0ms (2.6%)

Memory
9.0MiB live, 526.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 z (+.f64 #s(literal 1 binary64) y))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 y y))
✓cost-diff192
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z (+.f64 #s(literal 1 binary64) y))))
✓cost-diff1216
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z (+.f64 #s(literal 1 binary64) y)))
✓cost-diff-64
(*.f64 x (+.f64 y #s(literal -1 binary64)))
✓cost-diff0
(+.f64 y #s(literal -1 binary64))
✓cost-diff0
(fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) z x)
✓cost-diff-64
(*.f64 x (fma.f64 z y #s(literal 0 binary64)))
✓cost-diff0
(fma.f64 z y #s(literal 0 binary64))
✓cost-diff-64
(*.f64 z x)
✓cost-diff0
(+.f64 y #s(literal -1 binary64))
✓cost-diff0
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
Rules
9 304×accelerator-lowering-fma.f32
9 304×accelerator-lowering-fma.f64
2 540×+-lowering-+.f64
2 540×+-lowering-+.f32
2 064×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023106
165106
2142106
3333106
41018106
5233094
6440994
7558794
8659494
9718994
10738794
0836190
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (+ y -1) (* z x)) x)
(+ y -1)
y
-1
(* z x)
z
x
x
(* x (+ (* z y) 0))
x
(+ (* z y) 0)
z
y
0
(+ (* (* x (+ y -1)) z) x)
(* x (+ y -1))
x
(+ y -1)
y
-1
z
(* x (- 1 (* (- 1 (* y y)) (/ z (+ 1 y)))))
x
(- 1 (* (- 1 (* y y)) (/ z (+ 1 y))))
1
(* (- 1 (* y y)) (/ z (+ 1 y)))
(- 1 (* y y))
(* y y)
y
(/ z (+ 1 y))
z
(+ 1 y)
Outputs
(+ (* (+ y -1) (* z x)) x)
(fma.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal 1 binary64)) #s(literal 0 binary64))
(+ y -1)
(+.f64 y #s(literal -1 binary64))
y
-1
#s(literal -1 binary64)
(* z x)
(fma.f64 z x #s(literal 0 binary64))
z
x
x
(* x (+ (* z y) 0))
(fma.f64 y (fma.f64 z x #s(literal 0 binary64)) #s(literal 0 binary64))
x
(+ (* z y) 0)
(fma.f64 y z #s(literal 0 binary64))
z
y
0
#s(literal 0 binary64)
(+ (* (* x (+ y -1)) z) x)
(fma.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ y -1))
(fma.f64 (+.f64 y #s(literal -1 binary64)) x #s(literal 0 binary64))
x
(+ y -1)
(+.f64 y #s(literal -1 binary64))
y
-1
#s(literal -1 binary64)
z
(* x (- 1 (* (- 1 (* y y)) (/ z (+ 1 y)))))
(fma.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal 1 binary64)) #s(literal 0 binary64))
x
(- 1 (* (- 1 (* y y)) (/ z (+ 1 y))))
(fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal 1 binary64))
1
#s(literal 1 binary64)
(* (- 1 (* y y)) (/ z (+ 1 y)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(- 1 (* y y))
(-.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64)))
(* y y)
(fma.f64 y y #s(literal 0 binary64))
y
(/ z (+ 1 y))
(/.f64 z (+.f64 y #s(literal 1 binary64)))
z
(+ 1 y)
(+.f64 y #s(literal 1 binary64))

localize152.0ms (1.3%)

Memory
-14.4MiB live, 140.6MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 y y)
✓accuracy100.0%
(/.f64 z (+.f64 #s(literal 1 binary64) y))
✓accuracy95.5%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z (+.f64 #s(literal 1 binary64) y)))))
✓accuracy78.6%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z (+.f64 #s(literal 1 binary64) y)))
✓accuracy100.0%
(+.f64 y #s(literal -1 binary64))
✓accuracy100.0%
(*.f64 x (+.f64 y #s(literal -1 binary64)))
✓accuracy96.2%
(fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) z x)
✓accuracy100.0%
(fma.f64 z y #s(literal 0 binary64))
✓accuracy89.6%
(*.f64 x (fma.f64 z y #s(literal 0 binary64)))
✓accuracy100.0%
(+.f64 y #s(literal -1 binary64))
✓accuracy100.0%
(*.f64 z x)
✓accuracy97.2%
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
Samples
77.0ms256×0valid
Compiler

Compiled 114 to 25 computations (78.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 13.0ms (54.7% of total)
ival-add: 6.0ms (25.3% of total)
ival-div: 2.0ms (8.4% of total)
ival-sub: 2.0ms (8.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series29.0ms (0.2%)

Memory
33.6MiB live, 71.2MiB allocated
Counts
13 → 324
Calls
Call 1
Inputs
#<alt (+ (* (+ y -1) (* z x)) x)>
#<alt (+ y -1)>
#<alt (* z x)>
#<alt (+ (* z y) 0)>
#<alt (* x (+ (* z y) 0))>
#<alt (+ (* (* x (+ y -1)) z) x)>
#<alt (* x (+ y -1))>
#<alt (* (- 1 (* y y)) (/ z (+ 1 y)))>
#<alt (- 1 (* (- 1 (* y y)) (/ z (+ 1 y))))>
#<alt (- 1 (* y y))>
#<alt (/ z (+ 1 y))>
#<alt (* x (- 1 (* (- 1 (* y y)) (/ z (+ 1 y)))))>
#<alt (* y y)>
Outputs
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (+ (* -1 (* x z)) (* x (* y z))))>
#<alt (+ x (+ (* -1 (* x z)) (* x (* y z))))>
#<alt (+ x (+ (* -1 (* x z)) (* x (* y z))))>
#<alt (* x (* y z))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))>
#<alt x>
#<alt (+ x (* x (* z (- y 1))))>
#<alt (+ x (* x (* z (- y 1))))>
#<alt (+ x (* x (* z (- y 1))))>
#<alt (* x (* z (- y 1)))>
#<alt (* z (+ (* x (- y 1)) (/ x z)))>
#<alt (* z (+ (* x (- y 1)) (/ x z)))>
#<alt (* z (+ (* x (- y 1)) (/ x z)))>
#<alt (* x (* z (- y 1)))>
#<alt (* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* -1 (* x (- (* -1 (* z (- y 1))) 1)))>
#<alt (* -1 (* x (- (* -1 (* z (- y 1))) 1)))>
#<alt (* -1 (* x (- (* -1 (* z (- y 1))) 1)))>
#<alt (* -1 (* x (- (* -1 (* z (- y 1))) 1)))>
#<alt -1>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt y>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* -1 (* x (- (* -1 (* z (- y 1))) 1)))>
#<alt (* -1 (* x (- (* -1 (* z (- y 1))) 1)))>
#<alt (* -1 (* x (- (* -1 (* z (- y 1))) 1)))>
#<alt (* -1 (* x (- (* -1 (* z (- y 1))) 1)))>
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (+ (* -1 (* x z)) (* x (* y z))))>
#<alt (+ x (+ (* -1 (* x z)) (* x (* y z))))>
#<alt (+ x (+ (* -1 (* x z)) (* x (* y z))))>
#<alt (* x (* y z))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))>
#<alt x>
#<alt (+ x (* x (* z (- y 1))))>
#<alt (+ x (* x (* z (- y 1))))>
#<alt (+ x (* x (* z (- y 1))))>
#<alt (* x (* z (- y 1)))>
#<alt (* z (+ (* x (- y 1)) (/ x z)))>
#<alt (* z (+ (* x (- y 1)) (/ x z)))>
#<alt (* z (+ (* x (- y 1)) (/ x z)))>
#<alt (* x (* z (- y 1)))>
#<alt (* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* x (- y 1))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* x y))>
#<alt (+ (* -1 x) (* x y))>
#<alt (+ (* -1 x) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* y (+ x (* -1 (/ x y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt (* -1 (* y (+ (* -1 x) (/ x y))))>
#<alt z>
#<alt (+ z (* -1 (* y z)))>
#<alt (+ z (* -1 (* y z)))>
#<alt (+ z (* -1 (* y z)))>
#<alt (* -1 (* y z))>
#<alt (* y (+ (* -1 z) (/ z y)))>
#<alt (* y (+ (* -1 z) (/ z y)))>
#<alt (* y (+ (* -1 z) (/ z y)))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* y (+ z (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ z (* -1 (/ z y)))))>
#<alt (* -1 (* y (+ z (* -1 (/ z y)))))>
#<alt (/ (* z (- 1 (pow y 2))) (+ 1 y))>
#<alt (/ (* z (- 1 (pow y 2))) (+ 1 y))>
#<alt (/ (* z (- 1 (pow y 2))) (+ 1 y))>
#<alt (/ (* z (- 1 (pow y 2))) (+ 1 y))>
#<alt (/ (* z (- 1 (pow y 2))) (+ 1 y))>
#<alt (/ (* z (- 1 (pow y 2))) (+ 1 y))>
#<alt (/ (* z (- 1 (pow y 2))) (+ 1 y))>
#<alt (/ (* z (- 1 (pow y 2))) (+ 1 y))>
#<alt (/ (* z (- 1 (pow y 2))) (+ 1 y))>
#<alt (/ (* z (- 1 (pow y 2))) (+ 1 y))>
#<alt (/ (* z (- 1 (pow y 2))) (+ 1 y))>
#<alt (/ (* z (- 1 (pow y 2))) (+ 1 y))>
#<alt (- 1 z)>
#<alt (- (+ 1 (* y z)) z)>
#<alt (- (+ 1 (* y z)) z)>
#<alt (- (+ 1 (* y z)) z)>
#<alt (* y z)>
#<alt (* y (- (+ (* -1 (/ z y)) (/ 1 y)) (* -1 z)))>
#<alt (* y (- (+ (* -1 (/ z y)) (/ 1 y)) (* -1 z)))>
#<alt (* y (- (+ (* -1 (/ z y)) (/ 1 y)) (* -1 z)))>
#<alt (* y z)>
#<alt (* -1 (* y (- (* -1 (/ (+ 1 (* -1 z)) y)) z)))>
#<alt (* -1 (* y (- (* -1 (/ (+ 1 (* -1 z)) y)) z)))>
#<alt (* -1 (* y (- (* -1 (/ (+ 1 (* -1 z)) y)) z)))>
#<alt 1>
#<alt (+ 1 (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))))>
#<alt (+ 1 (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))))>
#<alt (+ 1 (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))))>
#<alt (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y))))>
#<alt (* z (- (+ (/ 1 z) (/ (pow y 2) (+ 1 y))) (/ 1 (+ 1 y))))>
#<alt (* z (- (+ (/ 1 z) (/ (pow y 2) (+ 1 y))) (/ 1 (+ 1 y))))>
#<alt (* z (- (+ (/ 1 z) (/ (pow y 2) (+ 1 y))) (/ 1 (+ 1 y))))>
#<alt (* -1 (/ (* z (- 1 (pow y 2))) (+ 1 y)))>
#<alt (* z (+ (* -1 (/ (- 1 (pow y 2)) (+ 1 y))) (/ 1 z)))>
#<alt (* z (+ (* -1 (/ (- 1 (pow y 2)) (+ 1 y))) (/ 1 z)))>
#<alt (* z (+ (* -1 (/ (- 1 (pow y 2)) (+ 1 y))) (/ 1 z)))>
#<alt 1>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (+ 1 (* -1 (pow y 2)))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1))>
#<alt (* -1 (pow y 2))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) 1))>
#<alt (/ z (+ 1 y))>
#<alt (/ z (+ 1 y))>
#<alt (/ z (+ 1 y))>
#<alt (/ z (+ 1 y))>
#<alt (/ z (+ 1 y))>
#<alt (/ z (+ 1 y))>
#<alt (/ z (+ 1 y))>
#<alt (/ z (+ 1 y))>
#<alt (/ z (+ 1 y))>
#<alt (/ z (+ 1 y))>
#<alt (/ z (+ 1 y))>
#<alt (/ z (+ 1 y))>
#<alt z>
#<alt (+ z (* -1 (* y z)))>
#<alt (+ z (* y (- (* y z) z)))>
#<alt (+ z (* y (- (* y (- (* -1 (* y z)) (* -1 z))) z)))>
#<alt (/ z y)>
#<alt (/ (+ z (* -1 (/ z y))) y)>
#<alt (/ (- (+ z (/ z (pow y 2))) (/ z y)) y)>
#<alt (/ (- (+ z (* -1 (/ z (pow y 3)))) (+ (* -1 (/ z (pow y 2))) (/ z y))) y)>
#<alt (/ z y)>
#<alt (* -1 (/ (+ (* -1 z) (/ z y)) y))>
#<alt (* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ z y) z) y))) y))>
#<alt (* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ z y) z) y)) z) y))) y))>
#<alt (* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))>
#<alt (* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))>
#<alt (* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))>
#<alt (* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))>
#<alt (* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))>
#<alt (* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))>
#<alt (* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))>
#<alt (* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))>
#<alt (* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))>
#<alt (* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))>
#<alt (* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))>
#<alt (* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))>
#<alt (* x (- 1 z))>
#<alt (+ (* x (* y z)) (* x (- 1 z)))>
#<alt (+ (* x (* y z)) (* x (- 1 z)))>
#<alt (+ (* x (* y z)) (* x (- 1 z)))>
#<alt (* x (* y z))>
#<alt (* y (+ (* x z) (/ (* x (+ 1 (* -1 z))) y)))>
#<alt (* y (+ (* x z) (/ (* x (+ 1 (* -1 z))) y)))>
#<alt (* y (+ (* x z) (/ (* x (+ 1 (* -1 z))) y)))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 (* -1 z))) y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 (* -1 z))) y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 (* -1 z))) y)))))>
#<alt x>
#<alt (+ x (* x (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y))))))>
#<alt (+ x (* x (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y))))))>
#<alt (+ x (* x (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y))))))>
#<alt (* x (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))))>
#<alt (* z (+ (* x (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))) (/ x z)))>
#<alt (* z (+ (* x (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))) (/ x z)))>
#<alt (* z (+ (* x (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))) (/ x z)))>
#<alt (* -1 (/ (* x (* z (- 1 (pow y 2)))) (+ 1 y)))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ (* x (- 1 (pow y 2))) (+ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ (* x (- 1 (pow y 2))) (+ 1 y)))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (/ (* x (- 1 (pow y 2))) (+ 1 y)))))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
Calls

81 calls:

TimeVariablePointExpression
5.0ms
y
@0
(* (- 1 (* y y)) (/ z (+ 1 y)))
2.0ms
x
@0
(+ (* (+ y -1) (* z x)) x)
1.0ms
x
@0
(* x (- 1 (* (- 1 (* y y)) (/ z (+ 1 y)))))
1.0ms
z
@0
(* (- 1 (* y y)) (/ z (+ 1 y)))
1.0ms
z
@inf
(* (- 1 (* y y)) (/ z (+ 1 y)))

rewrite559.0ms (4.8%)

Memory
11.2MiB live, 799.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 732×accelerator-lowering-fma.f32
6 732×accelerator-lowering-fma.f64
4 040×*-lowering-*.f32
4 040×*-lowering-*.f64
3 912×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02383
114883
2132572
0856668
Stop Event
1×iter limit
1×node limit
Counts
13 → 898
Calls
Call 1
Inputs
(+ (* (+ y -1) (* z x)) x)
(+ y -1)
(* z x)
(+ (* z y) 0)
(* x (+ (* z y) 0))
(+ (* (* x (+ y -1)) z) x)
(* x (+ y -1))
(* (- 1 (* y y)) (/ z (+ 1 y)))
(- 1 (* (- 1 (* y y)) (/ z (+ 1 y))))
(- 1 (* y y))
(/ z (+ 1 y))
(* x (- 1 (* (- 1 (* y y)) (/ z (+ 1 y)))))
(* y y)
Outputs
(+.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)))
(+.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)) x)
(+.f64 (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 z x) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)))) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x)))))
(-.f64 (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 z x) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)))) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x))) (/.f64 (*.f64 x x) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)))) (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 z x) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)))) (-.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)))))
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
(fma.f64 z (*.f64 (+.f64 y #s(literal -1 binary64)) x) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)))
(fma.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) z) x)
(fma.f64 (*.f64 z x) (+.f64 y #s(literal -1 binary64)) x)
(fma.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) x) z x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)))
(fma.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 z x) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x)))))
(fma.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) x x)
(fma.f64 (*.f64 (*.f64 z x) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)) x)
(fma.f64 (*.f64 (*.f64 z x) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x)
(fma.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (*.f64 z x)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)) x)
(fma.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 z x)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x)
(fma.f64 (/.f64 (*.f64 z x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64)))) x)
(fma.f64 (/.f64 (*.f64 z x) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))) x)
(fma.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (*.f64 z x) (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64)))) x)
(fma.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 (*.f64 z x) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))) x)
(neg.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 z x) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))))))))
(neg.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal 1 binary64))) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (*.f64 x (*.f64 x x)))) (fma.f64 x (-.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 z x) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)))))))
(neg.f64 (/.f64 (*.f64 (neg.f64 (*.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal 1 binary64)))) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x))) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal 1 binary64))))))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (*.f64 (+.f64 y #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 z x) x))))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))) (*.f64 (*.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal 1 binary64))) (-.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) #s(literal 1 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (*.f64 (+.f64 y #s(literal -1 binary64)) z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) (*.f64 (+.f64 y #s(literal -1 binary64)) z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (*.f64 (+.f64 y #s(literal -1 binary64)) z))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) (*.f64 (+.f64 y #s(literal -1 binary64)) z))) x)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (*.f64 x (*.f64 x x))) (fma.f64 x (-.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 z x) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (*.f64 x (*.f64 x x))) (fma.f64 x x (fma.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (*.f64 (+.f64 y #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 z x) x))))))
(/.f64 (*.f64 (*.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal 1 binary64))) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x))) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 z x) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x x (fma.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (*.f64 (+.f64 y #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 z x) x)))))))
(/.f64 (*.f64 (neg.f64 (*.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal 1 binary64)))) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x))) (-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (*.f64 (*.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal 1 binary64))) (-.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)))) (-.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (*.f64 (+.f64 y #s(literal -1 binary64)) z)))) (fma.f64 (neg.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) (*.f64 (+.f64 y #s(literal -1 binary64)) z)))) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) z)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (*.f64 (+.f64 y #s(literal -1 binary64)) z))) x) (fma.f64 (neg.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) (*.f64 (+.f64 y #s(literal -1 binary64)) z))) x) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) z)))
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 z x) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)))) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x))) (*.f64 (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x)) (*.f64 x x))) (*.f64 (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x)) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 z x) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (*.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal 1 binary64)))) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 (neg.f64 (*.f64 (*.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal 1 binary64))) (-.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))))) (neg.f64 (-.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)))))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (*.f64 (+.f64 y #s(literal -1 binary64)) z))))) (-.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) (*.f64 (+.f64 y #s(literal -1 binary64)) z))))) (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (*.f64 (+.f64 y #s(literal -1 binary64)) z))) x)) (-.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) (*.f64 (+.f64 y #s(literal -1 binary64)) z))) x)) (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 z x) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)))) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 z x) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)))) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x))) (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 z x) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)))) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x))) (/.f64 (*.f64 x x) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x))) (*.f64 (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 z x) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)))) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x))) (/.f64 (*.f64 x x) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 z x) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)))) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x))) (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 z x) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)))) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x)))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x))) (/.f64 (*.f64 x x) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x))))) (+.f64 (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 z x) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)))) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x))) (/.f64 (*.f64 x x) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal 1 binary64)))) #s(literal -1 binary64))
(*.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal 1 binary64)))
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(*.f64 (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 z x) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)))))))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (*.f64 x x) (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (*.f64 (+.f64 y #s(literal -1 binary64)) (neg.f64 (*.f64 (*.f64 z x) x)))))))
(*.f64 (*.f64 (*.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal 1 binary64))) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 z x) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))))))))
(*.f64 (*.f64 (neg.f64 (*.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal 1 binary64)))) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x)))))
(*.f64 (*.f64 (*.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal 1 binary64))) (-.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)))))
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (*.f64 (+.f64 y #s(literal -1 binary64)) z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) #s(literal 1 binary64))))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) (*.f64 (+.f64 y #s(literal -1 binary64)) z)))) (/.f64 #s(literal -1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal -1 binary64))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (*.f64 (+.f64 y #s(literal -1 binary64)) z))) x) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) z)) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) (*.f64 (+.f64 y #s(literal -1 binary64)) z))) x) (/.f64 #s(literal -1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal -1 binary64))))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 y) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(pow.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(*.f64 y y)
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 y y)))
(*.f64 #s(literal 1 binary64) (*.f64 y y))
(*.f64 (*.f64 y y) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) y))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))

simplify489.0ms (4.2%)

Memory
0.1MiB live, 722.2MiB allocated
Algorithm
1×egg-herbie
Rules
12 338×accelerator-lowering-fma.f32
12 338×accelerator-lowering-fma.f64
3 698×*-lowering-*.f32
3 698×*-lowering-*.f64
1 900×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01662445
15152213
213932153
339092151
080531995
Stop Event
1×iter limit
1×node limit
Counts
324 → 324
Calls
Call 1
Inputs
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(* x (* y z))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* x (* z (- y 1)))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
-1
(- y 1)
(- y 1)
(- y 1)
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* 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 (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(* x (* y z))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* x (* z (- y 1)))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* x (- y 1))
(* -1 x)
(+ (* -1 x) (* x y))
(+ (* -1 x) (* x y))
(+ (* -1 x) (* x y))
(* x y)
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* y (+ x (* -1 (/ x y))))
(* x y)
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ x y))))
z
(+ z (* -1 (* y z)))
(+ z (* -1 (* y z)))
(+ z (* -1 (* y z)))
(* -1 (* y z))
(* y (+ (* -1 z) (/ z y)))
(* y (+ (* -1 z) (/ z y)))
(* y (+ (* -1 z) (/ z y)))
(* -1 (* y z))
(* -1 (* y (+ z (* -1 (/ z y)))))
(* -1 (* y (+ z (* -1 (/ z y)))))
(* -1 (* y (+ z (* -1 (/ z y)))))
(/ (* z (- 1 (pow y 2))) (+ 1 y))
(/ (* z (- 1 (pow y 2))) (+ 1 y))
(/ (* z (- 1 (pow y 2))) (+ 1 y))
(/ (* z (- 1 (pow y 2))) (+ 1 y))
(/ (* z (- 1 (pow y 2))) (+ 1 y))
(/ (* z (- 1 (pow y 2))) (+ 1 y))
(/ (* z (- 1 (pow y 2))) (+ 1 y))
(/ (* z (- 1 (pow y 2))) (+ 1 y))
(/ (* z (- 1 (pow y 2))) (+ 1 y))
(/ (* z (- 1 (pow y 2))) (+ 1 y))
(/ (* z (- 1 (pow y 2))) (+ 1 y))
(/ (* z (- 1 (pow y 2))) (+ 1 y))
(- 1 z)
(- (+ 1 (* y z)) z)
(- (+ 1 (* y z)) z)
(- (+ 1 (* y z)) z)
(* y z)
(* y (- (+ (* -1 (/ z y)) (/ 1 y)) (* -1 z)))
(* y (- (+ (* -1 (/ z y)) (/ 1 y)) (* -1 z)))
(* y (- (+ (* -1 (/ z y)) (/ 1 y)) (* -1 z)))
(* y z)
(* -1 (* y (- (* -1 (/ (+ 1 (* -1 z)) y)) z)))
(* -1 (* y (- (* -1 (/ (+ 1 (* -1 z)) y)) z)))
(* -1 (* y (- (* -1 (/ (+ 1 (* -1 z)) y)) z)))
1
(+ 1 (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))))
(+ 1 (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))))
(+ 1 (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))))
(* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y))))
(* z (- (+ (/ 1 z) (/ (pow y 2) (+ 1 y))) (/ 1 (+ 1 y))))
(* z (- (+ (/ 1 z) (/ (pow y 2) (+ 1 y))) (/ 1 (+ 1 y))))
(* z (- (+ (/ 1 z) (/ (pow y 2) (+ 1 y))) (/ 1 (+ 1 y))))
(* -1 (/ (* z (- 1 (pow y 2))) (+ 1 y)))
(* z (+ (* -1 (/ (- 1 (pow y 2)) (+ 1 y))) (/ 1 z)))
(* z (+ (* -1 (/ (- 1 (pow y 2)) (+ 1 y))) (/ 1 z)))
(* z (+ (* -1 (/ (- 1 (pow y 2)) (+ 1 y))) (/ 1 z)))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* -1 (pow y 2)))
(+ 1 (* -1 (pow y 2)))
(* -1 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1))
(* (pow y 2) (- (/ 1 (pow y 2)) 1))
(* (pow y 2) (- (/ 1 (pow y 2)) 1))
(* -1 (pow y 2))
(* (pow y 2) (- (/ 1 (pow y 2)) 1))
(* (pow y 2) (- (/ 1 (pow y 2)) 1))
(* (pow y 2) (- (/ 1 (pow y 2)) 1))
(/ z (+ 1 y))
(/ z (+ 1 y))
(/ z (+ 1 y))
(/ z (+ 1 y))
(/ z (+ 1 y))
(/ z (+ 1 y))
(/ z (+ 1 y))
(/ z (+ 1 y))
(/ z (+ 1 y))
(/ z (+ 1 y))
(/ z (+ 1 y))
(/ z (+ 1 y))
z
(+ z (* -1 (* y z)))
(+ z (* y (- (* y z) z)))
(+ z (* y (- (* y (- (* -1 (* y z)) (* -1 z))) z)))
(/ z y)
(/ (+ z (* -1 (/ z y))) y)
(/ (- (+ z (/ z (pow y 2))) (/ z y)) y)
(/ (- (+ z (* -1 (/ z (pow y 3)))) (+ (* -1 (/ z (pow y 2))) (/ z y))) y)
(/ z y)
(* -1 (/ (+ (* -1 z) (/ z y)) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ z y) z) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ z y) z) y)) z) y))) y))
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(* x (- 1 z))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(+ (* x (* y z)) (* x (- 1 z)))
(* x (* y z))
(* y (+ (* x z) (/ (* x (+ 1 (* -1 z))) y)))
(* y (+ (* x z) (/ (* x (+ 1 (* -1 z))) y)))
(* y (+ (* x z) (/ (* x (+ 1 (* -1 z))) y)))
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 (* -1 z))) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 (* -1 z))) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 (* -1 z))) y)))))
x
(+ x (* x (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y))))))
(+ x (* x (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y))))))
(+ x (* x (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y))))))
(* x (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))))
(* z (+ (* x (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))) (/ x z)))
(* z (+ (* x (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))) (/ x z)))
(* z (+ (* x (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))) (/ x z)))
(* -1 (/ (* x (* z (- 1 (pow y 2)))) (+ 1 y)))
(* -1 (* z (+ (* -1 (/ x z)) (/ (* x (- 1 (pow y 2))) (+ 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (/ (* x (- 1 (pow y 2))) (+ 1 y)))))
(* -1 (* z (+ (* -1 (/ x z)) (/ (* x (- 1 (pow y 2))) (+ 1 y)))))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
Outputs
(+ x (* -1 (* x z)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 z (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 z (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
x
(+ x (* x (* z (- y 1))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(+ x (* x (* z (- y 1))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(+ x (* x (* z (- y 1))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (* z (- y 1)))
(*.f64 x (*.f64 z (+.f64 #s(literal -1 binary64) y)))
(* z (+ (* x (- y 1)) (/ x z)))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* z (+ (* x (- y 1)) (/ x z)))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* z (+ (* x (- y 1)) (/ x z)))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (* z (- y 1)))
(*.f64 x (*.f64 z (+.f64 #s(literal -1 binary64) y)))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
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(* -1 (* y (- (* -1 (/ (+ 1 (* -1 z)) y)) z)))
(fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
(* -1 (* y (- (* -1 (/ (+ 1 (* -1 z)) y)) z)))
(fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
(* -1 (* y (- (* -1 (/ (+ 1 (* -1 z)) y)) z)))
(fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))))
(fma.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))))
(fma.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))))
(fma.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64))
(* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y))))
(fma.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)) #s(literal 0 binary64))
(* z (- (+ (/ 1 z) (/ (pow y 2) (+ 1 y))) (/ 1 (+ 1 y))))
(fma.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64))
(* z (- (+ (/ 1 z) (/ (pow y 2) (+ 1 y))) (/ 1 (+ 1 y))))
(fma.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64))
(* z (- (+ (/ 1 z) (/ (pow y 2) (+ 1 y))) (/ 1 (+ 1 y))))
(fma.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64))
(* -1 (/ (* z (- 1 (pow y 2))) (+ 1 y)))
(fma.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)) #s(literal 0 binary64))
(* z (+ (* -1 (/ (- 1 (pow y 2)) (+ 1 y))) (/ 1 z)))
(fma.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64))
(* z (+ (* -1 (/ (- 1 (pow y 2)) (+ 1 y))) (/ 1 z)))
(fma.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64))
(* z (+ (* -1 (/ (- 1 (pow y 2)) (+ 1 y))) (/ 1 z)))
(fma.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(+ 1 (* -1 (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(+ 1 (* -1 (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(* (pow y 2) (- (/ 1 (pow y 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(* (pow y 2) (- (/ 1 (pow y 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(* (pow y 2) (- (/ 1 (pow y 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(* -1 (pow y 2))
(-.f64 #s(literal 0 binary64) (*.f64 y y))
(* (pow y 2) (- (/ 1 (pow y 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(* (pow y 2) (- (/ 1 (pow y 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(* (pow y 2) (- (/ 1 (pow y 2)) 1))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(/ z (+ 1 y))
(/.f64 z (+.f64 y #s(literal 1 binary64)))
(/ z (+ 1 y))
(/.f64 z (+.f64 y #s(literal 1 binary64)))
(/ z (+ 1 y))
(/.f64 z (+.f64 y #s(literal 1 binary64)))
(/ z (+ 1 y))
(/.f64 z (+.f64 y #s(literal 1 binary64)))
(/ z (+ 1 y))
(/.f64 z (+.f64 y #s(literal 1 binary64)))
(/ z (+ 1 y))
(/.f64 z (+.f64 y #s(literal 1 binary64)))
(/ z (+ 1 y))
(/.f64 z (+.f64 y #s(literal 1 binary64)))
(/ z (+ 1 y))
(/.f64 z (+.f64 y #s(literal 1 binary64)))
(/ z (+ 1 y))
(/.f64 z (+.f64 y #s(literal 1 binary64)))
(/ z (+ 1 y))
(/.f64 z (+.f64 y #s(literal 1 binary64)))
(/ z (+ 1 y))
(/.f64 z (+.f64 y #s(literal 1 binary64)))
(/ z (+ 1 y))
(/.f64 z (+.f64 y #s(literal 1 binary64)))
z
(+ z (* -1 (* y z)))
(fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64))
(+ z (* y (- (* y z) z)))
(*.f64 z (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(+ z (* y (- (* y (- (* -1 (* y z)) (* -1 z))) z)))
(*.f64 (fma.f64 z (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) (fma.f64 y y #s(literal 1 binary64)))
(/ z y)
(/.f64 z y)
(/ (+ z (* -1 (/ z y))) y)
(/.f64 (-.f64 z (/.f64 z y)) y)
(/ (- (+ z (/ z (pow y 2))) (/ z y)) y)
(/.f64 (+.f64 z (/.f64 (-.f64 (/.f64 z y) z) y)) y)
(/ (- (+ z (* -1 (/ z (pow y 3)))) (+ (* -1 (/ z (pow y 2))) (/ z y))) y)
(/.f64 (*.f64 (-.f64 (/.f64 z y) z) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64))) y)
(/ z y)
(/.f64 z y)
(* -1 (/ (+ (* -1 z) (/ z y)) y))
(/.f64 (-.f64 z (/.f64 z y)) y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ z y) z) y))) y))
(/.f64 (+.f64 z (/.f64 (-.f64 (/.f64 z y) z) y)) y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ z y) z) y)) z) y))) y))
(/.f64 (*.f64 (-.f64 (/.f64 z y) z) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64))) y)
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(fma.f64 x (fma.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(fma.f64 x (fma.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(fma.f64 x (fma.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(fma.f64 x (fma.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(fma.f64 x (fma.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(fma.f64 x (fma.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(fma.f64 x (fma.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(fma.f64 x (fma.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(fma.f64 x (fma.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(fma.f64 x (fma.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(fma.f64 x (fma.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (- 1 (/ (* z (- 1 (pow y 2))) (+ 1 y))))
(fma.f64 x (fma.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+ (* x (* y z)) (* x (- 1 z)))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(+ (* x (* y z)) (* x (- 1 z)))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(+ (* x (* y z)) (* x (- 1 z)))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 z (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (+ (* x z) (/ (* x (+ 1 (* -1 z))) y)))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* y (+ (* x z) (/ (* x (+ 1 (* -1 z))) y)))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* y (+ (* x z) (/ (* x (+ 1 (* -1 z))) y)))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 z (fma.f64 x y #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 (* -1 z))) y)))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 (* -1 z))) y)))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (* x (+ 1 (* -1 z))) y)))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
x
(+ x (* x (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y))))))
(fma.f64 x (fma.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(+ x (* x (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y))))))
(fma.f64 x (fma.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(+ x (* x (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y))))))
(fma.f64 x (fma.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (* z (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))))
(fma.f64 x (fma.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* z (+ (* x (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))) (/ x z)))
(fma.f64 x (fma.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* z (+ (* x (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))) (/ x z)))
(fma.f64 x (fma.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* z (+ (* x (- (/ (pow y 2) (+ 1 y)) (/ 1 (+ 1 y)))) (/ x z)))
(fma.f64 x (fma.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (/ (* x (* z (- 1 (pow y 2)))) (+ 1 y)))
(fma.f64 x (fma.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (/ x z)) (/ (* x (- 1 (pow y 2))) (+ 1 y)))))
(fma.f64 x (fma.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (/ x z)) (/ (* x (- 1 (pow y 2))) (+ 1 y)))))
(fma.f64 x (fma.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (/ x z)) (/ (* x (- 1 (pow y 2))) (+ 1 y)))))
(fma.f64 x (fma.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)

eval532.0ms (4.5%)

Memory
-25.3MiB live, 259.2MiB allocated
Compiler

Compiled 29 103 to 2 574 computations (91.2% saved)

prune675.0ms (5.8%)

Memory
25.9MiB live, 226.2MiB allocated
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1 30191 310
Fresh213
Picked325
Done000
Total1 306121 318
Accuracy
100.0%
Counts
1 318 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
63.4%
(fma.f64 (-.f64 #s(literal 0 binary64) x) z x)
✓97.2%
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
▶95.5%
(fma.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) x x)
▶75.2%
(fma.f64 (*.f64 x y) z x)
78.0%
(fma.f64 y (*.f64 z x) x)
▶41.8%
(*.f64 (*.f64 z x) y)
41.3%
(*.f64 (*.f64 y x) z)
80.5%
(*.f64 x (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))
▶63.3%
(*.f64 x (-.f64 #s(literal 1 binary64) z))
57.9%
(*.f64 x (*.f64 z (+.f64 #s(literal -1 binary64) y)))
▶37.8%
(*.f64 x (*.f64 z y))
✓39.2%
x
Compiler

Compiled 207 to 132 computations (36.2% saved)

simplify252.0ms (2.2%)

Memory
-23.5MiB live, 92.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 x y)
✓cost-diff0
(fma.f64 (*.f64 x y) z x)
✓cost-diff-64
(*.f64 z x)
✓cost-diff-64
(*.f64 (*.f64 z x) y)
✓cost-diff-64
(*.f64 z y)
✓cost-diff-64
(*.f64 x (*.f64 z y))
✓cost-diff-64
(*.f64 x (-.f64 #s(literal 1 binary64) z))
✓cost-diff0
(-.f64 #s(literal 1 binary64) z)
✓cost-diff-64
(*.f64 (+.f64 y #s(literal -1 binary64)) z)
✓cost-diff0
(+.f64 y #s(literal -1 binary64))
✓cost-diff0
(fma.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) x x)
Rules
1 232×accelerator-lowering-fma.f32
1 232×accelerator-lowering-fma.f64
496×*-lowering-*.f32
496×*-lowering-*.f64
248×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01867
13967
26367
311067
422567
532367
656867
796967
8123967
9130267
10130467
11130467
0130465
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* (* (+ y -1) z) x) x)
(* (+ y -1) z)
(+ y -1)
y
-1
z
x
(* x (- 1 z))
x
(- 1 z)
1
z
(* x (* z y))
x
(* z y)
z
y
(* (* z x) y)
(* z x)
z
x
y
(+ (* (* x y) z) x)
(* x y)
x
y
z
Outputs
(+ (* (* (+ y -1) z) x) x)
(fma.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal 1 binary64)) #s(literal 0 binary64))
(* (+ y -1) z)
(fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal 0 binary64))
(+ y -1)
(+.f64 y #s(literal -1 binary64))
y
-1
#s(literal -1 binary64)
z
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
(* x (* z y))
(fma.f64 y (fma.f64 z x #s(literal 0 binary64)) #s(literal 0 binary64))
x
(* z y)
(fma.f64 y z #s(literal 0 binary64))
z
y
(* (* z x) y)
(fma.f64 y (fma.f64 z x #s(literal 0 binary64)) #s(literal 0 binary64))
(* z x)
(fma.f64 z x #s(literal 0 binary64))
z
x
y
(+ (* (* x y) z) x)
(fma.f64 x (fma.f64 y z #s(literal 1 binary64)) #s(literal 0 binary64))
(* x y)
(fma.f64 y x #s(literal 0 binary64))
x
y
z

localize220.0ms (1.9%)

Memory
-2.3MiB live, 72.3MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x y)
✓accuracy94.4%
(fma.f64 (*.f64 x y) z x)
✓accuracy100.0%
(*.f64 z x)
✓accuracy92.1%
(*.f64 (*.f64 z x) y)
✓accuracy100.0%
(*.f64 z y)
✓accuracy89.6%
(*.f64 x (*.f64 z y))
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) z)
✓accuracy100.0%
(*.f64 x (-.f64 #s(literal 1 binary64) z))
✓accuracy100.0%
(+.f64 y #s(literal -1 binary64))
✓accuracy100.0%
(*.f64 (+.f64 y #s(literal -1 binary64)) z)
✓accuracy95.5%
(fma.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) x x)
Samples
33.0ms256×0valid
Compiler

Compiled 67 to 20 computations (70.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-mult: 15.0ms (74% of total)
ival-add: 4.0ms (19.7% of total)
ival-sub: 1.0ms (4.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
17.5MiB live, 17.5MiB allocated
Counts
11 → 288
Calls
Call 1
Inputs
#<alt (+ (* (* (+ y -1) z) x) x)>
#<alt (+ y -1)>
#<alt (* (+ y -1) z)>
#<alt (- 1 z)>
#<alt (* x (- 1 z))>
#<alt (* x (* z y))>
#<alt (* z y)>
#<alt (* (* z x) y)>
#<alt (* z x)>
#<alt (+ (* (* x y) z) x)>
#<alt (* x y)>
Outputs
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (+ (* -1 (* x z)) (* x (* y z))))>
#<alt (+ x (+ (* -1 (* x z)) (* x (* y z))))>
#<alt (+ x (+ (* -1 (* x z)) (* x (* y z))))>
#<alt (* x (* y z))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))>
#<alt (* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))>
#<alt x>
#<alt (+ x (* x (* z (- y 1))))>
#<alt (+ x (* x (* z (- y 1))))>
#<alt (+ x (* x (* z (- y 1))))>
#<alt (* x (* z (- y 1)))>
#<alt (* z (+ (* x (- y 1)) (/ x z)))>
#<alt (* z (+ (* x (- y 1)) (/ x z)))>
#<alt (* z (+ (* x (- y 1)) (/ x z)))>
#<alt (* x (* z (- y 1)))>
#<alt (* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* x (+ 1 (* z (- y 1))))>
#<alt (* -1 (* x (- (* -1 (* z (- y 1))) 1)))>
#<alt (* -1 (* x (- (* -1 (* z (- y 1))) 1)))>
#<alt (* -1 (* x (- (* -1 (* z (- y 1))) 1)))>
#<alt (* -1 (* x (- (* -1 (* z (- y 1))) 1)))>
#<alt -1>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt (- y 1)>
#<alt y>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt (* y (- 1 (/ 1 y)))>
#<alt y>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 (* y (- (/ 1 y) 1)))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* y z))>
#<alt (+ (* -1 z) (* y z))>
#<alt (+ (* -1 z) (* y z))>
#<alt (* y z)>
#<alt (* y (+ z (* -1 (/ z y))))>
#<alt (* y (+ z (* -1 (/ z y))))>
#<alt (* y (+ z (* -1 (/ z y))))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (/ z y))))>
#<alt (* -1 (* y (+ (* -1 z) (/ z y))))>
#<alt (* -1 (* y (+ (* -1 z) (/ z y))))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt (* z (- y 1))>
#<alt 1>
#<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 (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x z)>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* -1 (* x (- (* -1 (* y z)) 1)))>
#<alt (* -1 (* x (- (* -1 (* y z)) 1)))>
#<alt (* -1 (* x (- (* -1 (* y z)) 1)))>
#<alt (* -1 (* x (- (* -1 (* y z)) 1)))>
#<alt x>
#<alt (+ x (* x (* y z)))>
#<alt (+ x (* x (* y z)))>
#<alt (+ x (* x (* y z)))>
#<alt (* x (* y z))>
#<alt (* y (+ (* x z) (/ x y)))>
#<alt (* y (+ (* x z) (/ x y)))>
#<alt (* y (+ (* x z) (/ x y)))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))>
#<alt x>
#<alt (+ x (* x (* y z)))>
#<alt (+ x (* x (* y z)))>
#<alt (+ x (* x (* y z)))>
#<alt (* x (* y z))>
#<alt (* z (+ (* x y) (/ x z)))>
#<alt (* z (+ (* x y) (/ x z)))>
#<alt (* z (+ (* x y) (/ x z)))>
#<alt (* x (* y z))>
#<alt (* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
Calls

72 calls:

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

rewrite427.0ms (3.6%)

Memory
-0.7MiB live, 965.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
9 616×accelerator-lowering-fma.f32
9 616×accelerator-lowering-fma.f64
5 434×*-lowering-*.f32
5 434×*-lowering-*.f64
2 740×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01851
18651
259651
3663951
0830049
Stop Event
1×iter limit
1×node limit
Counts
11 → 438
Calls
Call 1
Inputs
(+ (* (* (+ y -1) z) x) x)
(+ y -1)
(* (+ y -1) z)
(- 1 z)
(* x (- 1 z))
(* x (* z y))
(* z y)
(* (* z x) y)
(* z x)
(+ (* (* x y) z) x)
(* x y)
Outputs
(+.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)))
(+.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)) x)
(+.f64 (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 z x) z) (*.f64 (+.f64 y #s(literal -1 binary64)) x))) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal 1 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 z x) z) (*.f64 (+.f64 y #s(literal -1 binary64)) x))) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x))) (/.f64 (*.f64 x x) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)))) (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 z x) z) (*.f64 (+.f64 y #s(literal -1 binary64)) x))) (-.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)))))
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
(fma.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 z x) z) (*.f64 (+.f64 y #s(literal -1 binary64)) x)) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x)))))
(fma.f64 z (*.f64 (+.f64 y #s(literal -1 binary64)) x) x)
(fma.f64 z (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) x)) x)
(fma.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) x x)
(fma.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z (*.f64 x x))) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x)))))
(fma.f64 x (*.f64 (+.f64 y #s(literal -1 binary64)) z) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)))
(fma.f64 x (/.f64 (*.f64 (*.f64 z x) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) z))) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x)))))
(fma.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)) #s(literal 1 binary64) x)
(fma.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)) (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x)))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x)) x)
(fma.f64 (*.f64 z x) (+.f64 y #s(literal -1 binary64)) x)
(fma.f64 (*.f64 x x) (/.f64 (*.f64 z (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) z))) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x)))))
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 z x)) x)
(fma.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (/.f64 (*.f64 z x) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) x)
(fma.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 z x) z) (*.f64 (+.f64 y #s(literal -1 binary64)) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x)))))
(fma.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z (*.f64 x x))) (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x)))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 z x)) x)
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 (*.f64 z x) (+.f64 y #s(literal 1 binary64))) x)
(fma.f64 (*.f64 z (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) z))) (/.f64 (*.f64 x x) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x)))))
(fma.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 z (*.f64 z (*.f64 x x))) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x)))))
(fma.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))) (/.f64 (*.f64 z x) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x)))))
(fma.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) x) z x)
(fma.f64 (*.f64 (*.f64 z x) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) z))) (/.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x)))))
(fma.f64 (*.f64 (*.f64 z x) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) x)
(fma.f64 (*.f64 (*.f64 z x) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) x)
(fma.f64 (*.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) x) #s(literal 1 binary64)) z x)
(fma.f64 (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 z x) z) (*.f64 (+.f64 y #s(literal -1 binary64)) x))) (*.f64 x (fma.f64 z (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x))) (-.f64 #s(literal 0 binary64) x)))) (*.f64 x (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x)))))
(fma.f64 (/.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 z x) z) (*.f64 (+.f64 y #s(literal -1 binary64)) x))) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 z (*.f64 z z))) (*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))))) (*.f64 x (*.f64 x x)))) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 z x) z) (*.f64 (+.f64 y #s(literal -1 binary64)) x)) (*.f64 (fma.f64 (+.f64 y #s(literal -1 binary64)) z #s(literal 1 binary64)) (*.f64 x x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) (-.f64 #s(literal 0 binary64) x)))))
(fma.f64 (/.f64 (*.f64 (*.f64 z x) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64)) (fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64)))))) (fma.f64 (fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 y y))) x)
(fma.f64 (/.f64 (*.f64 (*.f64 z x) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (*.f64 (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y)))) (+.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) y)) x)
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(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (-.f64 x (*.f64 y (*.f64 z x)))) (*.f64 x (*.f64 (-.f64 x (*.f64 y (*.f64 z x))) (*.f64 x (-.f64 x (*.f64 y (*.f64 z x)))))) (*.f64 (*.f64 y (*.f64 (*.f64 z x) (*.f64 (*.f64 y x) (*.f64 y (*.f64 (*.f64 z x) z))))) (*.f64 y (*.f64 (*.f64 z x) (*.f64 (*.f64 y x) (*.f64 y (*.f64 (*.f64 z x) z)))))))) (fma.f64 (*.f64 x (-.f64 x (*.f64 y (*.f64 z x)))) (-.f64 (*.f64 x (-.f64 x (*.f64 y (*.f64 z x)))) (*.f64 (*.f64 y x) (*.f64 y (*.f64 (*.f64 z x) z)))) (*.f64 (*.f64 y (*.f64 z x)) (*.f64 y (*.f64 (*.f64 z x) (*.f64 (*.f64 y x) (*.f64 y (*.f64 (*.f64 z x) z))))))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y z) (*.f64 y (*.f64 z (*.f64 y z))) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 y (*.f64 z x)) (fma.f64 y (*.f64 z x) (-.f64 #s(literal 0 binary64) x)) (*.f64 x x)) (*.f64 x (-.f64 (*.f64 x (*.f64 y (*.f64 z (*.f64 y z)))) (-.f64 x (*.f64 y (*.f64 z x))))))) (*.f64 x (-.f64 (*.f64 x (*.f64 y (*.f64 z (*.f64 y z)))) (-.f64 x (*.f64 y (*.f64 z x))))))
(*.f64 (/.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 y (*.f64 z (*.f64 y z)))) x)) (fma.f64 (*.f64 y (*.f64 z x)) (*.f64 (*.f64 y x) (*.f64 y (*.f64 (*.f64 z x) z))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) x))) (fma.f64 (fma.f64 y z #s(literal 1 binary64)) (*.f64 x x) (*.f64 (*.f64 y x) (*.f64 y (*.f64 (*.f64 z x) z)))))
(*.f64 y x)
(*.f64 x y)

simplify316.0ms (2.7%)

Memory
0.4MiB live, 443.4MiB allocated
Algorithm
1×egg-herbie
Rules
6 964×accelerator-lowering-fma.f32
6 964×accelerator-lowering-fma.f64
3 224×*-lowering-*.f32
3 224×*-lowering-*.f64
1 488×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911509
12991397
28551397
317971397
443271397
562811397
675651397
779551397
080131337
Stop Event
1×iter limit
1×node limit
Counts
288 → 288
Calls
Call 1
Inputs
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(* x (* y z))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
x
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(+ x (* x (* z (- y 1))))
(* x (* z (- y 1)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* z (+ (* x (- y 1)) (/ x z)))
(* x (* z (- y 1)))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* x (+ 1 (* z (- y 1))))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
-1
(- y 1)
(- y 1)
(- y 1)
y
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
(* y (- 1 (/ 1 y)))
y
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 (* y (- (/ 1 y) 1)))
(* -1 z)
(+ (* -1 z) (* y z))
(+ (* -1 z) (* y z))
(+ (* -1 z) (* y z))
(* y z)
(* y (+ z (* -1 (/ z y))))
(* y (+ z (* -1 (/ z y))))
(* y (+ z (* -1 (/ z y))))
(* y z)
(* -1 (* y (+ (* -1 z) (/ z y))))
(* -1 (* y (+ (* -1 z) (/ z y))))
(* -1 (* y (+ (* -1 z) (/ z y))))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
(* z (- y 1))
1
(+ 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)))))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* 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 (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x z)
(* x (+ 1 (* y z)))
(* x (+ 1 (* y z)))
(* x (+ 1 (* y z)))
(* x (+ 1 (* y z)))
(* x (+ 1 (* y z)))
(* x (+ 1 (* y z)))
(* x (+ 1 (* y z)))
(* x (+ 1 (* y z)))
(* -1 (* x (- (* -1 (* y z)) 1)))
(* -1 (* x (- (* -1 (* y z)) 1)))
(* -1 (* x (- (* -1 (* y z)) 1)))
(* -1 (* x (- (* -1 (* y z)) 1)))
x
(+ x (* x (* y z)))
(+ x (* x (* y z)))
(+ x (* x (* y z)))
(* x (* y z))
(* y (+ (* x z) (/ x y)))
(* y (+ (* x z) (/ x y)))
(* y (+ (* x z) (/ x y)))
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))
x
(+ x (* x (* y z)))
(+ x (* x (* y z)))
(+ x (* x (* y z)))
(* x (* y z))
(* z (+ (* x y) (/ x z)))
(* z (+ (* x y) (/ x z)))
(* z (+ (* x y) (/ x z)))
(* x (* y z))
(* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
Outputs
(+ x (* -1 (* x z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* y (+ (* -1 (/ (* x z) y)) (+ (* x z) (/ x y))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
x
(+ x (* x (* z (- y 1))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(+ x (* x (* z (- y 1))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(+ x (* x (* z (- y 1))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (* z (- y 1)))
(fma.f64 (fma.f64 x z #s(literal 0 binary64)) (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* z (+ (* x (- y 1)) (/ x z)))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* z (+ (* x (- y 1)) (/ x z)))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* z (+ (* x (- y 1)) (/ x z)))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (* z (- y 1)))
(fma.f64 (fma.f64 x z #s(literal 0 binary64)) (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (* x (- y 1))) (* -1 (/ x z)))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (* z (- y 1))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* x (- (* -1 (* z (- y 1))) 1)))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
-1
#s(literal -1 binary64)
(- y 1)
(+.f64 #s(literal -1 binary64) y)
(- y 1)
(+.f64 #s(literal -1 binary64) y)
(- y 1)
(+.f64 #s(literal -1 binary64) y)
y
(* y (- 1 (/ 1 y)))
(+.f64 #s(literal -1 binary64) y)
(* y (- 1 (/ 1 y)))
(+.f64 #s(literal -1 binary64) y)
(* y (- 1 (/ 1 y)))
(+.f64 #s(literal -1 binary64) y)
y
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 #s(literal -1 binary64) y)
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 #s(literal -1 binary64) y)
(* -1 (* y (- (/ 1 y) 1)))
(+.f64 #s(literal -1 binary64) y)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(+ (* -1 z) (* y z))
(fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(+ (* -1 z) (* y z))
(fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(+ (* -1 z) (* y z))
(fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y (+ z (* -1 (/ z y))))
(fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* y (+ z (* -1 (/ z y))))
(fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* y (+ z (* -1 (/ z y))))
(fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 z) (/ z y))))
(fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 z) (/ z y))))
(fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 z) (/ z y))))
(fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* z (- y 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* z (- y 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* z (- y 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* z (- y 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* z (- y 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* z (- y 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* z (- y 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* z (- y 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* z (- y 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* z (- y 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* z (- y 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* z (- y 1))
(fma.f64 z (+.f64 #s(literal -1 binary64) y) #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)
(* x (- 1 z))
(fma.f64 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))
(fma.f64 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))
(fma.f64 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))
(fma.f64 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))
(fma.f64 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))
(fma.f64 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
(+ x (* -1 (* x z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #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)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (fma.f64 x z #s(literal 0 binary64)))
(* z (+ (* -1 x) (/ x z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* z (+ (* -1 x) (/ x z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* z (+ (* -1 x) (/ x z)))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (fma.f64 x z #s(literal 0 binary64)))
(* -1 (* z (+ x (* -1 (/ x z)))))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* z (+ x (* -1 (/ x z)))))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* -1 (* z (+ x (* -1 (/ x z)))))
(fma.f64 x (-.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x z)
(fma.f64 x z #s(literal 0 binary64))
(* x (+ 1 (* y z)))
(fma.f64 x (fma.f64 z y #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (* y z)))
(fma.f64 x (fma.f64 z y #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (* y z)))
(fma.f64 x (fma.f64 z y #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (* y z)))
(fma.f64 x (fma.f64 z y #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (* y z)))
(fma.f64 x (fma.f64 z y #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (* y z)))
(fma.f64 x (fma.f64 z y #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (* y z)))
(fma.f64 x (fma.f64 z y #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (* y z)))
(fma.f64 x (fma.f64 z y #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* x (- (* -1 (* y z)) 1)))
(fma.f64 x (fma.f64 z y #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* x (- (* -1 (* y z)) 1)))
(fma.f64 x (fma.f64 z y #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* x (- (* -1 (* y z)) 1)))
(fma.f64 x (fma.f64 z y #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* x (- (* -1 (* y z)) 1)))
(fma.f64 x (fma.f64 z y #s(literal 1 binary64)) #s(literal 0 binary64))
x
(+ x (* x (* y z)))
(fma.f64 x (fma.f64 z y #s(literal 1 binary64)) #s(literal 0 binary64))
(+ x (* x (* y z)))
(fma.f64 x (fma.f64 z y #s(literal 1 binary64)) #s(literal 0 binary64))
(+ x (* x (* y z)))
(fma.f64 x (fma.f64 z y #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (+ (* x z) (/ x y)))
(fma.f64 x (fma.f64 z y #s(literal 1 binary64)) #s(literal 0 binary64))
(* y (+ (* x z) (/ x y)))
(fma.f64 x (fma.f64 z y #s(literal 1 binary64)) #s(literal 0 binary64))
(* y (+ (* x z) (/ x y)))
(fma.f64 x (fma.f64 z y #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))
(fma.f64 x (fma.f64 z y #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))
(fma.f64 x (fma.f64 z y #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))
(fma.f64 x (fma.f64 z y #s(literal 1 binary64)) #s(literal 0 binary64))
x
(+ x (* x (* y z)))
(fma.f64 x (fma.f64 z y #s(literal 1 binary64)) #s(literal 0 binary64))
(+ x (* x (* y z)))
(fma.f64 x (fma.f64 z y #s(literal 1 binary64)) #s(literal 0 binary64))
(+ x (* x (* y z)))
(fma.f64 x (fma.f64 z y #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* z (+ (* x y) (/ x z)))
(fma.f64 x (fma.f64 z y #s(literal 1 binary64)) #s(literal 0 binary64))
(* z (+ (* x y) (/ x z)))
(fma.f64 x (fma.f64 z y #s(literal 1 binary64)) #s(literal 0 binary64))
(* z (+ (* x y) (/ x z)))
(fma.f64 x (fma.f64 z y #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 x (fma.f64 z y #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))
(fma.f64 x (fma.f64 z y #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))
(fma.f64 x (fma.f64 z y #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))
(fma.f64 x (fma.f64 z y #s(literal 1 binary64)) #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))
(* x y)
(fma.f64 x y #s(literal 0 binary64))

eval88.0ms (0.8%)

Memory
2.4MiB live, 191.8MiB allocated
Compiler

Compiled 14 289 to 1 272 computations (91.1% saved)

prune68.0ms (0.6%)

Memory
16.3MiB live, 178.2MiB allocated
Pruning

13 alts after pruning (7 fresh and 6 done)

PrunedKeptTotal
New7215726
Fresh325
Picked145
Done022
Total72513738
Accuracy
100.0%
Counts
738 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶63.4%
(fma.f64 (-.f64 #s(literal 0 binary64) z) x x)
✓97.2%
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
▶80.6%
(fma.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64)))) x x)
78.0%
(fma.f64 (*.f64 z x) y x)
▶74.5%
(fma.f64 (*.f64 y z) x x)
✓75.2%
(fma.f64 (*.f64 x y) z x)
✓41.8%
(*.f64 (*.f64 z x) y)
▶41.3%
(*.f64 (*.f64 y x) z)
✓63.3%
(*.f64 x (-.f64 #s(literal 1 binary64) z))
▶26.5%
(*.f64 x (-.f64 #s(literal 0 binary64) z))
57.9%
(*.f64 x (*.f64 z (+.f64 #s(literal -1 binary64) y)))
✓37.8%
(*.f64 x (*.f64 z y))
✓39.2%
x
Compiler

Compiled 186 to 119 computations (36% saved)

simplify497.0ms (4.2%)

Memory
-32.5MiB live, 654.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff-64
(*.f64 y z)
✓cost-diff0
(fma.f64 (*.f64 y z) x x)
✓cost-diff-64
(*.f64 y x)
✓cost-diff-64
(*.f64 (*.f64 y x) z)
✓cost-diff0
(-.f64 #s(literal 0 binary64) z)
✓cost-diff0
(fma.f64 (-.f64 #s(literal 0 binary64) z) x x)
✓cost-diff-64
(*.f64 x (-.f64 #s(literal 0 binary64) z))
✓cost-diff0
(-.f64 #s(literal 0 binary64) z)
✓cost-diff0
(/.f64 z (+.f64 y #s(literal 1 binary64)))
✓cost-diff0
(fma.f64 y y #s(literal -1 binary64))
✓cost-diff0
(fma.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64)))) x x)
✓cost-diff1024
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64))))
Rules
18 682×accelerator-lowering-fma.f32
18 682×accelerator-lowering-fma.f64
3 606×*-lowering-*.f32
3 606×*-lowering-*.f64
2 930×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02288
15388
210687
329987
499975
5311175
6498975
0854172
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (* (+ (* y y) -1) (/ z (+ y 1))) x) x)
(* (+ (* y y) -1) (/ z (+ y 1)))
(+ (* y y) -1)
y
-1
(/ z (+ y 1))
z
(+ y 1)
1
x
(* x (- 0 z))
x
(- 0 z)
0
z
(+ (* (- 0 z) x) x)
(- 0 z)
0
z
x
(* (* y x) z)
(* y x)
y
x
z
(+ (* (* y z) x) x)
(* y z)
y
z
x
Outputs
(+ (* (* (+ (* y y) -1) (/ z (+ y 1))) x) x)
(fma.f64 x (fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(* (+ (* y y) -1) (/ z (+ y 1)))
(fma.f64 z (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(+ (* y y) -1)
(fma.f64 y y #s(literal -1 binary64))
y
-1
#s(literal -1 binary64)
(/ z (+ y 1))
(/.f64 z (+.f64 y #s(literal 1 binary64)))
z
(+ y 1)
(+.f64 y #s(literal 1 binary64))
1
#s(literal 1 binary64)
x
(* x (- 0 z))
(-.f64 #s(literal 0 binary64) (fma.f64 z x #s(literal 0 binary64)))
x
(- 0 z)
(-.f64 #s(literal 0 binary64) z)
0
#s(literal 0 binary64)
z
(+ (* (- 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
(* (* y x) z)
(fma.f64 y (fma.f64 z x #s(literal 0 binary64)) #s(literal 0 binary64))
(* y x)
(fma.f64 y x #s(literal 0 binary64))
y
x
z
(+ (* (* y z) x) x)
(fma.f64 x (fma.f64 y z #s(literal 1 binary64)) #s(literal 0 binary64))
(* y z)
(fma.f64 y z #s(literal 0 binary64))
y
z
x

localize81.0ms (0.7%)

Memory
12.2MiB live, 91.3MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 y z)
✓accuracy95.5%
(fma.f64 (*.f64 y z) x x)
✓accuracy100.0%
(*.f64 y x)
✓accuracy92.5%
(*.f64 (*.f64 y x) z)
✓accuracy100.0%
(fma.f64 (-.f64 #s(literal 0 binary64) z) x x)
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) z)
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) z)
✓accuracy100.0%
(*.f64 x (-.f64 #s(literal 0 binary64) z))
✓accuracy100.0%
(+.f64 y #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 z (+.f64 y #s(literal 1 binary64)))
✓accuracy95.5%
(fma.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64)))) x x)
✓accuracy78.5%
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64))))
Samples
59.0ms256×0valid
Compiler

Compiled 88 to 24 computations (72.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 14.0ms (60.2% of total)
ival-add: 6.0ms (25.8% of total)
ival-div: 2.0ms (8.6% of total)
ival-sub: 1.0ms (4.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series31.0ms (0.3%)

Memory
-16.8MiB live, 20.7MiB allocated
Counts
12 → 288
Calls
Call 1
Inputs
#<alt (* (+ (* y y) -1) (/ z (+ y 1)))>
#<alt (+ (* (* (+ (* y y) -1) (/ z (+ y 1))) x) x)>
#<alt (+ (* y y) -1)>
#<alt (/ z (+ y 1))>
#<alt (- 0 z)>
#<alt (* x (- 0 z))>
#<alt (+ (* (- 0 z) x) x)>
#<alt (* (* y x) z)>
#<alt (* y x)>
#<alt (+ (* (* y z) x) x)>
#<alt (* y z)>
#<alt (+ y 1)>
Outputs
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* y z))>
#<alt (+ (* -1 z) (* y z))>
#<alt (+ (* -1 z) (* y z))>
#<alt (* y z)>
#<alt (* y (+ z (* -1 (/ z y))))>
#<alt (* y (+ z (* -1 (/ z y))))>
#<alt (* y (+ z (* -1 (/ z y))))>
#<alt (* y z)>
#<alt (* -1 (* y (+ (* -1 z) (/ z y))))>
#<alt (* -1 (* y (+ (* -1 z) (/ z y))))>
#<alt (* -1 (* y (+ (* -1 z) (/ z y))))>
#<alt (/ (* z (- (pow y 2) 1)) (+ 1 y))>
#<alt (/ (* z (- (pow y 2) 1)) (+ 1 y))>
#<alt (/ (* z (- (pow y 2) 1)) (+ 1 y))>
#<alt (/ (* z (- (pow y 2) 1)) (+ 1 y))>
#<alt (/ (* z (- (pow y 2) 1)) (+ 1 y))>
#<alt (/ (* z (- (pow y 2) 1)) (+ 1 y))>
#<alt (/ (* z (- (pow y 2) 1)) (+ 1 y))>
#<alt (/ (* z (- (pow y 2) 1)) (+ 1 y))>
#<alt (/ (* z (- (pow y 2) 1)) (+ 1 y))>
#<alt (/ (* z (- (pow y 2) 1)) (+ 1 y))>
#<alt (/ (* z (- (pow y 2) 1)) (+ 1 y))>
#<alt (/ (* z (- (pow y 2) 1)) (+ 1 y))>
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (+ (* -1 (* x z)) (* x (* y z))))>
#<alt (+ x (+ (* -1 (* x z)) (* x (* y z))))>
#<alt (+ x (+ (* -1 (* x z)) (* x (* y z))))>
#<alt (* x (* y z))>
#<alt (* y (- (+ (* x z) (/ x y)) (/ (* x z) y)))>
#<alt (* y (- (+ (* x z) (/ x y)) (/ (* x z) y)))>
#<alt (* y (- (+ (* x z) (/ x y)) (/ (* x z) y)))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- x (* x z)) y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- x (* x z)) y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- x (* x z)) y)))))>
#<alt x>
#<alt (+ x (/ (* x (* z (- (pow y 2) 1))) (+ 1 y)))>
#<alt (+ x (/ (* x (* z (- (pow y 2) 1))) (+ 1 y)))>
#<alt (+ x (/ (* x (* z (- (pow y 2) 1))) (+ 1 y)))>
#<alt (/ (* x (* z (- (pow y 2) 1))) (+ 1 y))>
#<alt (* z (+ (/ x z) (/ (* x (- (pow y 2) 1)) (+ 1 y))))>
#<alt (* z (+ (/ x z) (/ (* x (- (pow y 2) 1)) (+ 1 y))))>
#<alt (* z (+ (/ x z) (/ (* x (- (pow y 2) 1)) (+ 1 y))))>
#<alt (/ (* x (* z (- (pow y 2) 1))) (+ 1 y))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (* x (- (pow y 2) 1)) (+ 1 y))))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (* x (- (pow y 2) 1)) (+ 1 y))))))>
#<alt (* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (* x (- (pow y 2) 1)) (+ 1 y))))))>
#<alt (* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))>
#<alt (* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))>
#<alt (* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))>
#<alt (* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))>
#<alt (* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))>
#<alt (* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))>
#<alt (* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))>
#<alt (* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (pow y 2) 1)) (+ 1 y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (pow y 2) 1)) (+ 1 y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (pow y 2) 1)) (+ 1 y))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* z (- (pow y 2) 1)) (+ 1 y))) 1)))>
#<alt -1>
#<alt (- (pow y 2) 1)>
#<alt (- (pow y 2) 1)>
#<alt (- (pow y 2) 1)>
#<alt (pow y 2)>
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))>
#<alt (pow y 2)>
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))>
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))>
#<alt (/ z (+ 1 y))>
#<alt (/ z (+ 1 y))>
#<alt (/ z (+ 1 y))>
#<alt (/ z (+ 1 y))>
#<alt (/ z (+ 1 y))>
#<alt (/ z (+ 1 y))>
#<alt (/ z (+ 1 y))>
#<alt (/ z (+ 1 y))>
#<alt (/ z (+ 1 y))>
#<alt (/ z (+ 1 y))>
#<alt (/ z (+ 1 y))>
#<alt (/ z (+ 1 y))>
#<alt z>
#<alt (+ z (* -1 (* y z)))>
#<alt (+ z (* y (- (* y z) z)))>
#<alt (+ z (* y (- (* y (- (* -1 (* y z)) (* -1 z))) z)))>
#<alt (/ z y)>
#<alt (/ (+ z (* -1 (/ z y))) y)>
#<alt (/ (- (+ z (/ z (pow y 2))) (/ z y)) y)>
#<alt (/ (- (+ z (* -1 (/ z (pow y 3)))) (+ (* -1 (/ z (pow y 2))) (/ z y))) y)>
#<alt (/ z y)>
#<alt (* -1 (/ (+ (* -1 z) (/ z y)) y))>
#<alt (* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ z y) z) y))) y))>
#<alt (* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ z y) z) y)) z) y))) y))>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 z)>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* x z))>
#<alt 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 (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x (* y z))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt x>
#<alt (+ x (* x (* y z)))>
#<alt (+ x (* x (* y z)))>
#<alt (+ x (* x (* y z)))>
#<alt (* x (* y z))>
#<alt (* y (+ (* x z) (/ x y)))>
#<alt (* y (+ (* x z) (/ x y)))>
#<alt (* y (+ (* x z) (/ x y)))>
#<alt (* x (* y z))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))>
#<alt x>
#<alt (+ x (* x (* y z)))>
#<alt (+ x (* x (* y z)))>
#<alt (+ x (* x (* y z)))>
#<alt (* x (* y z))>
#<alt (* z (+ (* x y) (/ x z)))>
#<alt (* z (+ (* x y) (/ x z)))>
#<alt (* z (+ (* x y) (/ x z)))>
#<alt (* x (* y z))>
#<alt (* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* x (+ 1 (* y z)))>
#<alt (* -1 (* x (- (* -1 (* y z)) 1)))>
#<alt (* -1 (* x (- (* -1 (* y z)) 1)))>
#<alt (* -1 (* x (- (* -1 (* y z)) 1)))>
#<alt (* -1 (* x (- (* -1 (* y z)) 1)))>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt (* y z)>
#<alt 1>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
Calls

72 calls:

TimeVariablePointExpression
20.0ms
y
@-inf
(* y z)
1.0ms
x
@0
(+ (* (* (+ (* y y) -1) (/ z (+ y 1))) x) x)
1.0ms
z
@0
(* (+ (* y y) -1) (/ z (+ y 1)))
0.0ms
y
@0
(+ (* (* (+ (* y y) -1) (/ z (+ y 1))) x) x)
0.0ms
y
@inf
(+ (* (* (+ (* y y) -1) (/ z (+ y 1))) x) x)

rewrite1.2s (10.4%)

Memory
5.8MiB live, 651.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
13 114×accelerator-lowering-fma.f32
13 114×accelerator-lowering-fma.f64
6 050×*-lowering-*.f32
6 050×*-lowering-*.f64
3 206×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02269
112969
2101156
0886153
Stop Event
1×iter limit
1×node limit
Counts
12 → 957
Calls
Call 1
Inputs
(* (+ (* y y) -1) (/ z (+ y 1)))
(+ (* (* (+ (* y y) -1) (/ z (+ y 1))) x) x)
(+ (* y y) -1)
(/ z (+ y 1))
(- 0 z)
(* x (- 0 z))
(+ (* (- 0 z) x) x)
(* (* y x) z)
(* y x)
(+ (* (* y z) x) x)
(* y z)
(+ y 1)
Outputs
(+.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)))
(+.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) (*.f64 #s(literal 0 binary64) (+.f64 y #s(literal -1 binary64))))
(+.f64 (*.f64 y z) (-.f64 #s(literal 0 binary64) z))
(+.f64 (*.f64 y z) (*.f64 z #s(literal -1 binary64)))
(+.f64 (/.f64 z (-.f64 #s(literal -1 binary64) y)) (*.f64 y (*.f64 y (/.f64 z (+.f64 y #s(literal 1 binary64))))))
(+.f64 (*.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) (*.f64 y y)) (*.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (/.f64 z (+.f64 y #s(literal 1 binary64))) (*.f64 y y)))
(+.f64 (*.f64 y (*.f64 y (/.f64 z (+.f64 y #s(literal 1 binary64))))) (/.f64 z (-.f64 #s(literal -1 binary64) y)))
(+.f64 (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64)))) y) (*.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64)))) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) z) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y)) (*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) z) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) z) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) z) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y y)))
(+.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)) (*.f64 z (+.f64 y #s(literal -1 binary64))))
(+.f64 (*.f64 y (*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64))))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64))))))
(+.f64 (*.f64 (*.f64 y y) (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) z) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) z) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) z) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (*.f64 y y) (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) z) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))))
(+.f64 (*.f64 #s(literal 0 binary64) (+.f64 y #s(literal -1 binary64))) (*.f64 z (+.f64 y #s(literal -1 binary64))))
(-.f64 (*.f64 y (*.f64 y (/.f64 z (+.f64 y #s(literal 1 binary64))))) (/.f64 z (+.f64 y #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (fma.f64 y y #s(literal 1 binary64))) (/.f64 (+.f64 y #s(literal 1 binary64)) z)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) (/.f64 (+.f64 y #s(literal 1 binary64)) z)))
(fma.f64 y z (-.f64 #s(literal 0 binary64) z))
(fma.f64 y z (*.f64 z #s(literal -1 binary64)))
(fma.f64 y (*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64))))))
(fma.f64 y (*.f64 y (/.f64 z (+.f64 y #s(literal 1 binary64)))) (/.f64 z (-.f64 #s(literal -1 binary64) y)))
(fma.f64 (*.f64 y y) (/.f64 z (+.f64 y #s(literal 1 binary64))) (/.f64 z (-.f64 #s(literal -1 binary64) y)))
(fma.f64 (*.f64 y y) (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) z) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) z) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) (/.f64 z (+.f64 y #s(literal 1 binary64))) (*.f64 y (*.f64 y (/.f64 z (+.f64 y #s(literal 1 binary64))))))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64))) (*.f64 #s(literal 0 binary64) (+.f64 y #s(literal -1 binary64))))
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))) (+.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))
(*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y y))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))))
(*.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))

simplify703.0ms (6%)

Memory
18.0MiB live, 337.3MiB allocated
Algorithm
1×egg-herbie
Rules
10 284×accelerator-lowering-fma.f32
10 284×accelerator-lowering-fma.f64
3 164×*-lowering-*.f32
3 164×*-lowering-*.f64
1 638×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01311694
14201672
211191655
335251653
470221653
081581547
Stop Event
1×iter limit
1×node limit
Counts
288 → 288
Calls
Call 1
Inputs
(* -1 z)
(+ (* -1 z) (* y z))
(+ (* -1 z) (* y z))
(+ (* -1 z) (* y z))
(* y z)
(* y (+ z (* -1 (/ z y))))
(* y (+ z (* -1 (/ z y))))
(* y (+ z (* -1 (/ z y))))
(* y z)
(* -1 (* y (+ (* -1 z) (/ z y))))
(* -1 (* y (+ (* -1 z) (/ z y))))
(* -1 (* y (+ (* -1 z) (/ z y))))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(* x (* y z))
(* y (- (+ (* x z) (/ x y)) (/ (* x z) y)))
(* y (- (+ (* x z) (/ x y)) (/ (* x z) y)))
(* y (- (+ (* x z) (/ x y)) (/ (* x z) y)))
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- x (* x z)) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- x (* x z)) y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- x (* x z)) y)))))
x
(+ x (/ (* x (* z (- (pow y 2) 1))) (+ 1 y)))
(+ x (/ (* x (* z (- (pow y 2) 1))) (+ 1 y)))
(+ x (/ (* x (* z (- (pow y 2) 1))) (+ 1 y)))
(/ (* x (* z (- (pow y 2) 1))) (+ 1 y))
(* z (+ (/ x z) (/ (* x (- (pow y 2) 1)) (+ 1 y))))
(* z (+ (/ x z) (/ (* x (- (pow y 2) 1)) (+ 1 y))))
(* z (+ (/ x z) (/ (* x (- (pow y 2) 1)) (+ 1 y))))
(/ (* x (* z (- (pow y 2) 1))) (+ 1 y))
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (* x (- (pow y 2) 1)) (+ 1 y))))))
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (* x (- (pow y 2) 1)) (+ 1 y))))))
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (* x (- (pow y 2) 1)) (+ 1 y))))))
(* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))
(* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))
(* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))
(* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))
(* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))
(* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))
(* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))
(* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))
(* -1 (* x (- (* -1 (/ (* z (- (pow y 2) 1)) (+ 1 y))) 1)))
(* -1 (* x (- (* -1 (/ (* z (- (pow y 2) 1)) (+ 1 y))) 1)))
(* -1 (* x (- (* -1 (/ (* z (- (pow y 2) 1)) (+ 1 y))) 1)))
(* -1 (* x (- (* -1 (/ (* z (- (pow y 2) 1)) (+ 1 y))) 1)))
-1
(- (pow y 2) 1)
(- (pow y 2) 1)
(- (pow y 2) 1)
(pow y 2)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(pow y 2)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(/ z (+ 1 y))
(/ z (+ 1 y))
(/ z (+ 1 y))
(/ z (+ 1 y))
(/ z (+ 1 y))
(/ z (+ 1 y))
(/ z (+ 1 y))
(/ z (+ 1 y))
(/ z (+ 1 y))
(/ z (+ 1 y))
(/ z (+ 1 y))
(/ z (+ 1 y))
z
(+ z (* -1 (* y z)))
(+ z (* y (- (* y z) z)))
(+ z (* y (- (* y (- (* -1 (* y z)) (* -1 z))) z)))
(/ z y)
(/ (+ z (* -1 (/ z y))) y)
(/ (- (+ z (/ z (pow y 2))) (/ z y)) y)
(/ (- (+ z (* -1 (/ z (pow y 3)))) (+ (* -1 (/ z (pow y 2))) (/ z y))) y)
(/ z y)
(* -1 (/ (+ (* -1 z) (/ z y)) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ z y) z) y))) y))
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ z y) z) y)) z) y))) 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)
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
(* -1 (* x z))
x
(+ 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)))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x (* y z))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
x
(+ x (* x (* y z)))
(+ x (* x (* y z)))
(+ x (* x (* y z)))
(* x (* y z))
(* y (+ (* x z) (/ x y)))
(* y (+ (* x z) (/ x y)))
(* y (+ (* x z) (/ x y)))
(* x (* y z))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ x y)))))
x
(+ x (* x (* y z)))
(+ x (* x (* y z)))
(+ x (* x (* y z)))
(* x (* y z))
(* z (+ (* x y) (/ x z)))
(* z (+ (* x y) (/ x z)))
(* z (+ (* x y) (/ x z)))
(* x (* y z))
(* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (* x y)) (* -1 (/ x z)))))
(* x (+ 1 (* y z)))
(* x (+ 1 (* y z)))
(* x (+ 1 (* y z)))
(* x (+ 1 (* y z)))
(* x (+ 1 (* y z)))
(* x (+ 1 (* y z)))
(* x (+ 1 (* y z)))
(* x (+ 1 (* y z)))
(* -1 (* x (- (* -1 (* y z)) 1)))
(* -1 (* x (- (* -1 (* y z)) 1)))
(* -1 (* x (- (* -1 (* y z)) 1)))
(* -1 (* x (- (* -1 (* y z)) 1)))
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
(* y z)
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
Outputs
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(+ (* -1 z) (* y z))
(fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(+ (* -1 z) (* y z))
(fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(+ (* -1 z) (* y z))
(fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y (+ z (* -1 (/ z y))))
(fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* y (+ z (* -1 (/ z y))))
(fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* y (+ z (* -1 (/ z y))))
(fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* -1 (* y (+ (* -1 z) (/ z y))))
(fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 z) (/ z y))))
(fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 z) (/ z y))))
(fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 0 binary64))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64))) #s(literal 0 binary64))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64))) #s(literal 0 binary64))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64))) #s(literal 0 binary64))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64))) #s(literal 0 binary64))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64))) #s(literal 0 binary64))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64))) #s(literal 0 binary64))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64))) #s(literal 0 binary64))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64))) #s(literal 0 binary64))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64))) #s(literal 0 binary64))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64))) #s(literal 0 binary64))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64))) #s(literal 0 binary64))
(/ (* z (- (pow y 2) 1)) (+ 1 y))
(fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z (+.f64 y #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)) (* x (* y z))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(+ x (+ (* -1 (* x z)) (* x (* y z))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 z (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))
(* y (- (+ (* x z) (/ x y)) (/ (* x z) y)))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* y (- (+ (* x z) (/ x y)) (/ (* x z) y)))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* y (- (+ (* x z) (/ x y)) (/ (* x z) y)))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (* y z))
(fma.f64 z (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- x (* x z)) y)))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- x (* x z)) y)))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* y (+ (* -1 (* x z)) (* -1 (/ (- x (* x z)) y)))))
(fma.f64 x (fma.f64 z (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) #s(literal 0 binary64))
x
(+ x (/ (* x (* z (- (pow y 2) 1))) (+ 1 y)))
(fma.f64 x (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(+ x (/ (* x (* z (- (pow y 2) 1))) (+ 1 y)))
(fma.f64 x (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(+ x (/ (* x (* z (- (pow y 2) 1))) (+ 1 y)))
(fma.f64 x (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(/ (* x (* z (- (pow y 2) 1))) (+ 1 y))
(fma.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 0 binary64))
(* z (+ (/ x z) (/ (* x (- (pow y 2) 1)) (+ 1 y))))
(fma.f64 x (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(* z (+ (/ x z) (/ (* x (- (pow y 2) 1)) (+ 1 y))))
(fma.f64 x (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(* z (+ (/ x z) (/ (* x (- (pow y 2) 1)) (+ 1 y))))
(fma.f64 x (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(/ (* x (* z (- (pow y 2) 1))) (+ 1 y))
(fma.f64 (*.f64 z (fma.f64 y y #s(literal -1 binary64))) (/.f64 x (+.f64 y #s(literal 1 binary64))) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (* x (- (pow y 2) 1)) (+ 1 y))))))
(fma.f64 x (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (* x (- (pow y 2) 1)) (+ 1 y))))))
(fma.f64 x (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (* x (- (pow y 2) 1)) (+ 1 y))))))
(fma.f64 x (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 0 binary64))
(* x (+ 1 (/ (* z (- (pow y 2) 1)) (+ 1 y))))
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(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
(* y z)
(fma.f64 z y #s(literal 0 binary64))
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
(+ 1 y)
(+.f64 y #s(literal 1 binary64))
y
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
y
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))
(* y (+ 1 (/ 1 y)))
(+.f64 y #s(literal 1 binary64))

eval285.0ms (2.4%)

Memory
-25.3MiB live, 410.5MiB allocated
Compiler

Compiled 24 491 to 2 587 computations (89.4% saved)

prune154.0ms (1.3%)

Memory
26.3MiB live, 458.2MiB allocated
Pruning

13 alts after pruning (5 fresh and 8 done)

PrunedKeptTotal
New1 29031 293
Fresh022
Picked325
Done066
Total1 293131 306
Accuracy
100.0%
Counts
1 306 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓97.2%
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
48.3%
(fma.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z y)) x x)
78.0%
(fma.f64 (*.f64 z x) y x)
✓74.5%
(fma.f64 (*.f64 y z) x x)
✓75.2%
(fma.f64 (*.f64 x y) z x)
63.4%
(fma.f64 (neg.f64 z) x x)
✓41.8%
(*.f64 (*.f64 z x) y)
✓41.3%
(*.f64 (*.f64 y x) z)
✓63.3%
(*.f64 x (-.f64 #s(literal 1 binary64) z))
57.9%
(*.f64 x (*.f64 z (+.f64 #s(literal -1 binary64) y)))
✓37.8%
(*.f64 x (*.f64 z y))
26.5%
(*.f64 x (neg.f64 z))
✓39.2%
x
Compiler

Compiled 300 to 135 computations (55% saved)

regimes61.0ms (0.5%)

Memory
11.7MiB live, 170.9MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
x
(*.f64 x (neg.f64 z))
(*.f64 x (-.f64 #s(literal 0 binary64) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 (-.f64 #s(literal 0 binary64) x) z x)
(fma.f64 (-.f64 #s(literal 0 binary64) z) x x)
(*.f64 x (*.f64 z y))
(*.f64 (*.f64 y x) z)
(*.f64 (*.f64 z x) y)
(*.f64 x (fma.f64 z y #s(literal 0 binary64)))
(fma.f64 y (*.f64 z x) x)
(fma.f64 (*.f64 x y) z x)
(fma.f64 (*.f64 y z) x x)
(fma.f64 (*.f64 z x) y x)
(fma.f64 z (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 x (*.f64 z (+.f64 #s(literal -1 binary64) y)))
(fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) z x)
(fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x)
(fma.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) x x)
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
(fma.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z y)) x x)
(*.f64 x (fma.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 z (+.f64 y #s(literal 1 binary64)))) x x)
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 z (+.f64 #s(literal 1 binary64) y)))))
Outputs
(fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) z x)
(fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x)
Calls

7 calls:

12.0ms
y
8.0ms
(-.f64 #s(literal 1 binary64) y)
8.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
8.0ms
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
8.0ms
x
Results
AccuracySegmentsBranch
99.9%2x
97.2%1y
97.2%1z
99.6%2(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
97.2%1(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
97.2%1(*.f64 (-.f64 #s(literal 1 binary64) y) z)
97.2%1(-.f64 #s(literal 1 binary64) y)
Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes14.0ms (0.1%)

Memory
-37.5MiB live, 20.0MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
x
(*.f64 x (neg.f64 z))
(*.f64 x (-.f64 #s(literal 0 binary64) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 (-.f64 #s(literal 0 binary64) x) z x)
(fma.f64 (-.f64 #s(literal 0 binary64) z) x x)
(*.f64 x (*.f64 z y))
(*.f64 (*.f64 y x) z)
(*.f64 (*.f64 z x) y)
(*.f64 x (fma.f64 z y #s(literal 0 binary64)))
(fma.f64 y (*.f64 z x) x)
(fma.f64 (*.f64 x y) z x)
(fma.f64 (*.f64 y z) x x)
(fma.f64 (*.f64 z x) y x)
(fma.f64 z (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 x (*.f64 z (+.f64 #s(literal -1 binary64) y)))
(fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) z x)
(fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x)
(fma.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) x x)
Outputs
(fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) z x)
(fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x)
Calls

1 calls:

13.0ms
x
Results
AccuracySegmentsBranch
99.9%2x
Compiler

Compiled 4 to 3 computations (25% saved)

regimes42.0ms (0.4%)

Memory
6.2MiB live, 123.9MiB allocated
Counts
18 → 3
Calls
Call 1
Inputs
x
(*.f64 x (neg.f64 z))
(*.f64 x (-.f64 #s(literal 0 binary64) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 (-.f64 #s(literal 0 binary64) x) z x)
(fma.f64 (-.f64 #s(literal 0 binary64) z) x x)
(*.f64 x (*.f64 z y))
(*.f64 (*.f64 y x) z)
(*.f64 (*.f64 z x) y)
(*.f64 x (fma.f64 z y #s(literal 0 binary64)))
(fma.f64 y (*.f64 z x) x)
(fma.f64 (*.f64 x y) z x)
(fma.f64 (*.f64 y z) x x)
(fma.f64 (*.f64 z x) y x)
(fma.f64 z (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 x (*.f64 z (+.f64 #s(literal -1 binary64) y)))
(fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) z x)
Outputs
(fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) z x)
(fma.f64 (*.f64 y z) x x)
(fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) z x)
Calls

7 calls:

6.0ms
z
6.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
6.0ms
x
6.0ms
(-.f64 #s(literal 1 binary64) y)
6.0ms
y
Results
AccuracySegmentsBranch
96.2%1(-.f64 #s(literal 1 binary64) y)
96.2%1y
99.9%3z
96.2%1(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
96.2%1(*.f64 (-.f64 #s(literal 1 binary64) y) z)
96.2%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
96.2%1x
Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes55.0ms (0.5%)

Memory
23.4MiB live, 104.5MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
x
(*.f64 x (neg.f64 z))
(*.f64 x (-.f64 #s(literal 0 binary64) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 (-.f64 #s(literal 0 binary64) x) z x)
(fma.f64 (-.f64 #s(literal 0 binary64) z) x x)
(*.f64 x (*.f64 z y))
(*.f64 (*.f64 y x) z)
(*.f64 (*.f64 z x) y)
(*.f64 x (fma.f64 z y #s(literal 0 binary64)))
(fma.f64 y (*.f64 z x) x)
(fma.f64 (*.f64 x y) z x)
(fma.f64 (*.f64 y z) x x)
(fma.f64 (*.f64 z x) y x)
(fma.f64 z (fma.f64 y x #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 x (*.f64 z (+.f64 #s(literal -1 binary64) y)))
Outputs
(fma.f64 (*.f64 x y) z x)
(fma.f64 (neg.f64 z) x x)
(fma.f64 y (*.f64 z x) x)
Calls

7 calls:

20.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
6.0ms
(-.f64 #s(literal 1 binary64) y)
6.0ms
z
6.0ms
x
5.0ms
y
Results
AccuracySegmentsBranch
80.7%2x
97.4%3y
90.7%4(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
98.8%5(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
98.8%5(*.f64 (-.f64 #s(literal 1 binary64) y) z)
97.4%3(-.f64 #s(literal 1 binary64) y)
94.5%3z
Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes31.0ms (0.3%)

Memory
-14.7MiB live, 24.9MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
x
(*.f64 x (neg.f64 z))
(*.f64 x (-.f64 #s(literal 0 binary64) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 (-.f64 #s(literal 0 binary64) x) z x)
(fma.f64 (-.f64 #s(literal 0 binary64) z) x x)
(*.f64 x (*.f64 z y))
(*.f64 (*.f64 y x) z)
(*.f64 (*.f64 z x) y)
(*.f64 x (fma.f64 z y #s(literal 0 binary64)))
(fma.f64 y (*.f64 z x) x)
Outputs
(fma.f64 y (*.f64 z x) x)
(fma.f64 (neg.f64 z) x x)
(fma.f64 y (*.f64 z x) x)
Calls

2 calls:

26.0ms
y
4.0ms
(-.f64 #s(literal 1 binary64) y)
Results
AccuracySegmentsBranch
96.9%3(-.f64 #s(literal 1 binary64) y)
96.9%3y
Compiler

Compiled 10 to 8 computations (20% saved)

regimes23.0ms (0.2%)

Memory
-14.0MiB live, 65.7MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
x
(*.f64 x (neg.f64 z))
(*.f64 x (-.f64 #s(literal 0 binary64) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 (-.f64 #s(literal 0 binary64) x) z x)
(fma.f64 (-.f64 #s(literal 0 binary64) z) x x)
(*.f64 x (*.f64 z y))
(*.f64 (*.f64 y x) z)
(*.f64 (*.f64 z x) y)
(*.f64 x (fma.f64 z y #s(literal 0 binary64)))
Outputs
(*.f64 (*.f64 y x) z)
(fma.f64 (neg.f64 z) x x)
(*.f64 (*.f64 y x) z)
Calls

5 calls:

6.0ms
z
4.0ms
y
4.0ms
(-.f64 #s(literal 1 binary64) y)
4.0ms
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
4.0ms
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
Results
AccuracySegmentsBranch
71.2%2z
82.1%3(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
82.1%3(*.f64 (-.f64 #s(literal 1 binary64) y) z)
91.1%3(-.f64 #s(literal 1 binary64) y)
91.1%3y
Compiler

Compiled 32 to 24 computations (25% saved)

regimes10.0ms (0.1%)

Memory
24.7MiB live, 24.7MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
x
(*.f64 x (neg.f64 z))
(*.f64 x (-.f64 #s(literal 0 binary64) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 (-.f64 #s(literal 0 binary64) x) z x)
(fma.f64 (-.f64 #s(literal 0 binary64) z) x x)
(*.f64 x (*.f64 z y))
Outputs
(*.f64 x (*.f64 z y))
(fma.f64 (neg.f64 z) x x)
(*.f64 x (*.f64 z y))
Calls

3 calls:

3.0ms
y
3.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
3.0ms
(-.f64 #s(literal 1 binary64) y)
Results
AccuracySegmentsBranch
77.5%5(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
87.6%3y
87.6%3(-.f64 #s(literal 1 binary64) y)
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes25.0ms (0.2%)

Memory
-22.8MiB live, 55.3MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
x
(*.f64 x (neg.f64 z))
(*.f64 x (-.f64 #s(literal 0 binary64) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(fma.f64 (neg.f64 z) x x)
(fma.f64 (-.f64 #s(literal 0 binary64) x) z x)
(fma.f64 (-.f64 #s(literal 0 binary64) z) x x)
Outputs
(fma.f64 (neg.f64 z) x x)
Calls

7 calls:

6.0ms
(-.f64 #s(literal 1 binary64) y)
4.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
3.0ms
y
3.0ms
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
3.0ms
z
Results
AccuracySegmentsBranch
63.4%1z
63.4%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
63.4%1(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
63.4%1(*.f64 (-.f64 #s(literal 1 binary64) y) z)
63.4%1x
63.4%1y
63.4%1(-.f64 #s(literal 1 binary64) y)
Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes16.0ms (0.1%)

Memory
4.9MiB live, 44.2MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
x
(*.f64 x (neg.f64 z))
(*.f64 x (-.f64 #s(literal 0 binary64) z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) z))
Calls

7 calls:

3.0ms
z
2.0ms
x
2.0ms
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
2.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
2.0ms
y
Results
AccuracySegmentsBranch
63.3%1(*.f64 (-.f64 #s(literal 1 binary64) y) z)
63.3%1(-.f64 #s(literal 1 binary64) y)
63.3%1z
63.3%1y
63.3%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
63.3%1(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
63.3%1x
Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes16.0ms (0.1%)

Memory
-5.5MiB live, 35.1MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
x
(*.f64 x (neg.f64 z))
(*.f64 x (-.f64 #s(literal 0 binary64) z))
Outputs
(*.f64 x (neg.f64 z))
x
(*.f64 x (neg.f64 z))
Calls

7 calls:

4.0ms
(-.f64 #s(literal 1 binary64) y)
2.0ms
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
2.0ms
z
2.0ms
y
2.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
Results
AccuracySegmentsBranch
62.2%3(*.f64 (-.f64 #s(literal 1 binary64) y) z)
39.2%1(-.f64 #s(literal 1 binary64) y)
62.4%3z
39.2%1y
55.9%3(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
62.2%3(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
39.2%1x
Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes7.0ms (0.1%)

Memory
18.5MiB live, 18.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

1.0ms
(*.f64 (-.f64 #s(literal 1 binary64) y) z)
1.0ms
y
1.0ms
z
1.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
1.0ms
(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
Results
AccuracySegmentsBranch
39.2%1y
39.2%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z)))
39.2%1(*.f64 (-.f64 #s(literal 1 binary64) y) z)
39.2%1(-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) z))
39.2%1z
Compiler

Compiled 38 to 27 computations (28.9% saved)

bsearch4.0ms (0%)

Memory
12.0MiB live, 11.9MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
4.0ms
5.569382357888758e-56
6.810447201616238e-55
Samples
2.0ms48×0valid
Compiler

Compiled 87 to 62 computations (28.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-sub: 1.0ms (87.7% of total)
ival-mult: 1.0ms (87.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch6.0ms (0.1%)

Memory
-24.6MiB live, 12.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×predicate-same
Steps
TimeLeftRight
6.0ms
5.569382357888758e-56
6.810447201616238e-55
Samples
2.0ms48×0valid
Compiler

Compiled 87 to 62 computations (28.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-sub: 1.0ms (81.2% of total)
ival-mult: 1.0ms (81.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch17.0ms (0.1%)

Memory
-1.3MiB live, 37.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×predicate-same
Steps
TimeLeftRight
10.0ms
6.052333505226404e-249
2.673234789383141e-247
5.0ms
-5.619507709847354e-13
-5.294745308059777e-20
Samples
10.0ms176×0valid
Compiler

Compiled 257 to 168 computations (34.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 2.0ms (48.7% of total)
ival-mult: 2.0ms (48.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Memory
10.9MiB live, 49.4MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
6.0ms
8.705440674802984e-7
2.0503979992940677e-6
15.0ms
-5.462509468552994
-5.516053407982772e-14
Samples
13.0ms240×0valid
Compiler

Compiled 300 to 194 computations (35.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 5.0ms (62.4% of total)
ival-mult: 3.0ms (37.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch26.0ms (0.2%)

Memory
4.6MiB live, 47.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
6.0ms
8.705440674802984e-7
2.0503979992940677e-6
17.0ms
-5.462509468552994
-5.516053407982772e-14
Samples
11.0ms240×0valid
Compiler

Compiled 300 to 194 computations (35.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 3.0ms (54.5% of total)
ival-sub: 2.0ms (36.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch31.0ms (0.3%)

Memory
-19.1MiB live, 58.5MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
9.69182255596295e+26
2.1435249606977234e+40
15.0ms
-3.018718761433369e+47
-8.762437417984182e+34
Samples
15.0ms320×0valid
Compiler

Compiled 375 to 254 computations (32.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (52.8% of total)
ival-sub: 3.0ms (39.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
8.762437417984182e+34
3.018718761433369e+47
0.0ms
-2.1435249606977234e+40
-9.69182255596295e+26
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch28.0ms (0.2%)

Memory
16.4MiB live, 55.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
27293012.37553099
22892184382648.16
12.0ms
-50390298.097986914
-0.0010684988517666
Samples
16.0ms304×0valid
Compiler

Compiled 262 to 204 computations (22.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sub: 6.0ms (62.1% of total)
ival-mult: 4.0ms (41.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify16.0ms (0.1%)

Memory
-11.6MiB live, 31.7MiB allocated
Algorithm
1×egg-herbie
Rules
26×*-commutative_binary64
14×+-commutative_binary64
12×sub-neg_binary64
10×if-if-or-not_binary32
8×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060175
195175
2106175
3113175
4117175
5118175
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 1725436586697641/3450873173395281893717377931138512726225554486085193277581262111899648 binary64)) (fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) z x) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))
(if (<=.f64 x #s(literal 1725436586697641/3450873173395281893717377931138512726225554486085193277581262111899648 binary64)) (fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) z x) (fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x))
(if (<=.f64 z #s(literal -6490371073168535/324518553658426726783156020576256 binary64)) (fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) z x) (if (<=.f64 z #s(literal 1043066760532195/3936100983140358674171118325863157261303419813782882110237782515784158576702511753696331798193284779002326689610310857585686054524054270515222392815820422596546908348791339130466666204306680269934417552562141332061201544797059608540225005885713074181150932467712 binary64)) (fma.f64 (*.f64 y z) x x) (fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) z x)))
(if (<=.f64 y #s(literal -1 binary64)) (fma.f64 (*.f64 x y) z x) (if (<=.f64 y #s(literal 4722366482869645/2361183241434822606848 binary64)) (fma.f64 (neg.f64 z) x x) (fma.f64 y (*.f64 z x) x)))
(if (<=.f64 y #s(literal -1 binary64)) (fma.f64 y (*.f64 z x) x) (if (<=.f64 y #s(literal 4722366482869645/2361183241434822606848 binary64)) (fma.f64 (neg.f64 z) x x) (fma.f64 y (*.f64 z x) x)))
(if (<=.f64 y #s(literal -35000000000000001106772429000639484407054336 binary64)) (*.f64 (*.f64 y x) z) (if (<=.f64 y #s(literal 1499999999999999989843979766188736512 binary64)) (fma.f64 (neg.f64 z) x x) (*.f64 (*.f64 y x) z)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -20000000000000000607572056854007333781504 binary64)) (*.f64 x (*.f64 z y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 99999999999999996863366107917975552 binary64)) (fma.f64 (neg.f64 z) x x) (*.f64 x (*.f64 z y))))
(fma.f64 (neg.f64 z) x x)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(if (<=.f64 z #s(literal -1 binary64)) (*.f64 x (neg.f64 z)) (if (<=.f64 z #s(literal 27500000 binary64)) x (*.f64 x (neg.f64 z))))
x
Outputs
(if (<=.f64 x #s(literal 1725436586697641/3450873173395281893717377931138512726225554486085193277581262111899648 binary64)) (fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) z x) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 z x) x))
(if (<=.f64 x #s(literal 1725436586697641/3450873173395281893717377931138512726225554486085193277581262111899648 binary64)) (fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) z x) (fma.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x z) x))
(if (<=.f64 x #s(literal 1725436586697641/3450873173395281893717377931138512726225554486085193277581262111899648 binary64)) (fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) z x) (fma.f64 (*.f64 z (+.f64 y #s(literal -1 binary64))) x x))
(if (<=.f64 x #s(literal 1725436586697641/3450873173395281893717377931138512726225554486085193277581262111899648 binary64)) (fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) z x) (fma.f64 (*.f64 (+.f64 y #s(literal -1 binary64)) z) x x))
(if (<=.f64 z #s(literal -6490371073168535/324518553658426726783156020576256 binary64)) (fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) z x) (if (<=.f64 z #s(literal 1043066760532195/3936100983140358674171118325863157261303419813782882110237782515784158576702511753696331798193284779002326689610310857585686054524054270515222392815820422596546908348791339130466666204306680269934417552562141332061201544797059608540225005885713074181150932467712 binary64)) (fma.f64 (*.f64 y z) x x) (fma.f64 (*.f64 x (+.f64 y #s(literal -1 binary64))) z x)))
(if (<=.f64 y #s(literal -1 binary64)) (fma.f64 (*.f64 x y) z x) (if (<=.f64 y #s(literal 4722366482869645/2361183241434822606848 binary64)) (fma.f64 (neg.f64 z) x x) (fma.f64 y (*.f64 z x) x)))
(if (<=.f64 y #s(literal -1 binary64)) (fma.f64 (*.f64 x y) z x) (if (<=.f64 y #s(literal 4722366482869645/2361183241434822606848 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) z) x x) (fma.f64 y (*.f64 x z) x)))
(if (<=.f64 y #s(literal -1 binary64)) (fma.f64 y (*.f64 z x) x) (if (<=.f64 y #s(literal 4722366482869645/2361183241434822606848 binary64)) (fma.f64 (neg.f64 z) x x) (fma.f64 y (*.f64 z x) x)))
(if (<=.f64 y #s(literal -1 binary64)) (fma.f64 y (*.f64 x z) x) (if (<=.f64 y #s(literal 4722366482869645/2361183241434822606848 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) z) x x) (fma.f64 y (*.f64 x z) x)))
(if (<=.f64 y #s(literal -35000000000000001106772429000639484407054336 binary64)) (*.f64 (*.f64 y x) z) (if (<=.f64 y #s(literal 1499999999999999989843979766188736512 binary64)) (fma.f64 (neg.f64 z) x x) (*.f64 (*.f64 y x) z)))
(if (<=.f64 y #s(literal -35000000000000001106772429000639484407054336 binary64)) (*.f64 z (*.f64 x y)) (if (<=.f64 y #s(literal 1499999999999999989843979766188736512 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) z) x x) (*.f64 z (*.f64 x y))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -20000000000000000607572056854007333781504 binary64)) (*.f64 x (*.f64 z y)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 99999999999999996863366107917975552 binary64)) (fma.f64 (neg.f64 z) x x) (*.f64 x (*.f64 z y))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -20000000000000000607572056854007333781504 binary64)) (*.f64 x (*.f64 y z)) (if (<=.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 99999999999999996863366107917975552 binary64)) (fma.f64 (-.f64 #s(literal 0 binary64) z) x x) (*.f64 x (*.f64 y z))))
(fma.f64 (neg.f64 z) x x)
(fma.f64 (-.f64 #s(literal 0 binary64) z) x x)
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(if (<=.f64 z #s(literal -1 binary64)) (*.f64 x (neg.f64 z)) (if (<=.f64 z #s(literal 27500000 binary64)) x (*.f64 x (neg.f64 z))))
(if (<=.f64 z #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x z)) (if (<=.f64 z #s(literal 27500000 binary64)) x (-.f64 #s(literal 0 binary64) (*.f64 x z))))
x

soundness1.6s (13.6%)

Memory
8.9MiB live, 1 237.9MiB allocated
Rules
13 114×accelerator-lowering-fma.f32
13 114×accelerator-lowering-fma.f64
12 338×accelerator-lowering-fma.f32
12 338×accelerator-lowering-fma.f64
9 616×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01662445
15152213
213932153
339092151
080531995
074613
1234592
2629592
31393592
44050592
56295592
67515592
08013544
0911509
12991397
28551397
317971397
443271397
562811397
675651397
779551397
080131337
02383
114883
2132572
0856668
0824
14224
232424
3354024
0942022
02269
112969
2101156
0886153
01851
18651
259651
3663951
0830049
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 451 to 220 computations (51.2% saved)

preprocess132.0ms (1.1%)

Memory
-2.5MiB live, 153.3MiB allocated
Remove

(negabs x)

Compiler

Compiled 688 to 240 computations (65.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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