Diagrams.TwoD.Segment.Bernstein:evaluateBernstein from diagrams-lib-1.3.0.3

Time bar (total: 8.6s)

analyze61.0ms (0.7%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
50%49.9%49.9%0.1%0%0%0%4
50%49.9%49.9%0.1%0%0%0%5
50%49.9%49.9%0.1%0%0%0%6
75%74.9%25%0.1%0%0%0%7
75%74.9%25%0.1%0%0%0%8
75%74.9%25%0.1%0%0%0%9
87.5%87.4%12.5%0.1%0%0%0%10
87.5%87.4%12.5%0.1%0%0%0%11
87.5%87.4%12.5%0.1%0%0%0%12
Compiler

Compiled 13 to 9 computations (30.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-sub: 6.0ms (35.4% of total)
ival-mult: 5.0ms (29.5% of total)
ival-add: 3.0ms (17.7% of total)
ival-div: 2.0ms (11.8% of total)
const: 1.0ms (5.9% of total)
backward-pass: 0.0ms (0% of total)

sample1.3s (15.1%)

Results
1.1s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 576.0ms
ival-sub: 290.0ms (50.3% of total)
ival-mult: 137.0ms (23.8% of total)
ival-div: 70.0ms (12.2% of total)
ival-add: 63.0ms (10.9% of total)
const: 13.0ms (2.3% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess200.0ms (2.3%)

Algorithm
egg-herbie
Rules
1928×fnmsub-define
1894×fmsub-define
1882×fma-define
1858×fma-lowering-fma.f32
1858×fma-lowering-fma.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03699
114285
246685
3220880
089
1248
2588
31598
44168
511118
630178
762808
082008
Stop Event
iter limit
node limit
node limit
Calls
Call 1
Inputs
(/ (* x (+ (- y z) 1)) z)
Outputs
(/ (* x (+ (- y z) 1)) z)
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) z)))
Call 2
Inputs
(/ (* x (+ (- y z) 1)) z)
(/ (* (neg x) (+ (- y z) 1)) z)
(/ (* x (+ (- (neg y) z) 1)) z)
(/ (* x (+ (- y (neg z)) 1)) (neg z))
(neg (/ (* (neg x) (+ (- y z) 1)) z))
(neg (/ (* x (+ (- (neg y) z) 1)) z))
(neg (/ (* x (+ (- y (neg z)) 1)) (neg z)))
(/ (* y (+ (- x z) 1)) z)
(/ (* z (+ (- y x) 1)) x)
(/ (* x (+ (- z y) 1)) y)
Outputs
(/ (* x (+ (- y z) 1)) z)
(/ (fma x (- y z) x) z)
(/ (* (neg x) (+ (- y z) 1)) z)
(/ (fnmsub x (- y z) x) z)
(/ (* x (+ (- (neg y) z) 1)) z)
(/ (fnmadd x (+ y z) x) z)
(/ (* x (+ (- y (neg z)) 1)) (neg z))
(/ (fnmsub x (+ y z) x) z)
(neg (/ (* (neg x) (+ (- y z) 1)) z))
(/ (fma x (- y z) x) z)
(neg (/ (* x (+ (- (neg y) z) 1)) z))
(* (/ x z) (sum3 y z -1))
(neg (/ (* x (+ (- y (neg z)) 1)) (neg z)))
(* (sum3 y z 1) (/ x z))
(/ (* y (+ (- x z) 1)) z)
(/ (fma y (- x z) y) z)
(/ (* z (+ (- y x) 1)) x)
(/ (fma z (- y x) z) x)
(/ (* x (+ (- z y) 1)) y)
(/ (fma x (- z y) x) y)
Symmetry

(negabs x)

explain83.0ms (1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
380-0-(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
00-0-x
00-0-(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))
00-0-z
00-0-(+.f64 (-.f64 y z) #s(literal 1 binary64))
00-0-(-.f64 y z)
00-0-#s(literal 1 binary64)
00-0-y
Results
54.0ms512×0valid
Compiler

Compiled 76 to 26 computations (65.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 5.0ms (32.1% of total)
ival-div: 4.0ms (25.7% of total)
ival-sub: 3.0ms (19.3% of total)
ival-add: 3.0ms (19.3% of total)
const: 1.0ms (6.4% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 12 to 8 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
86.0%
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
95.8%
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) z)))
Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify119.0ms (1.4%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 y z)
cost-diff0
(+.f64 (-.f64 y z) #s(literal 1 binary64))
cost-diff0
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))
cost-diff0
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
cost-diff0
(-.f64 #s(literal -1 binary64) y)
cost-diff0
(/.f64 (-.f64 #s(literal -1 binary64) y) z)
cost-diff0
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) z))
cost-diff0
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) z)))
Rules
1612×fnmadd-define
1018×*-lowering-*.f32
1018×*-lowering-*.f64
1000×sum4-define
944×unsub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01356
13755
28855
327553
482753
5254653
6717253
0801653
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* x (- -1 (/ (- -1 y) z)))
x
(- -1 (/ (- -1 y) z))
-1
(/ (- -1 y) z)
(- -1 y)
y
z
(/ (* x (+ (- y z) 1)) z)
(* x (+ (- y z) 1))
x
(+ (- y z) 1)
(- y z)
y
z
1
Outputs
(* x (- -1 (/ (- -1 y) z)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) z)))
x
(- -1 (/ (- -1 y) z))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) z))
-1
#s(literal -1 binary64)
(/ (- -1 y) z)
(/.f64 (-.f64 #s(literal -1 binary64) y) z)
(- -1 y)
(-.f64 #s(literal -1 binary64) y)
y
z
(/ (* x (+ (- y z) 1)) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) z)))
(* x (+ (- y z) 1))
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))
x
(+ (- y z) 1)
(+.f64 (-.f64 y z) #s(literal 1 binary64))
(- y z)
(-.f64 y z)
y
z
1
#s(literal 1 binary64)

localize57.0ms (0.7%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 y z)
accuracy100.0%
(+.f64 (-.f64 y z) #s(literal 1 binary64))
accuracy100.0%
(*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))
accuracy86.1%
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
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)
accuracy95.8%
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) z)))
Results
43.0ms256×0valid
Compiler

Compiled 60 to 14 computations (76.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sub: 4.0ms (29.9% of total)
ival-div: 4.0ms (29.9% of total)
ival-mult: 3.0ms (22.4% of total)
ival-add: 1.0ms (7.5% of total)
const: 1.0ms (7.5% of total)
backward-pass: 0.0ms (0% of total)

series19.0ms (0.2%)

Counts
8 → 216
Calls
Call 1
Inputs
#<alt (* x (- -1 (/ (- -1 y) z)))>
#<alt (- -1 (/ (- -1 y) z))>
#<alt (/ (- -1 y) z)>
#<alt (- -1 y)>
#<alt (/ (* x (+ (- y z) 1)) z)>
#<alt (* x (+ (- y z) 1))>
#<alt (+ (- y z) 1)>
#<alt (- y z)>
Outputs
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z)))))>
#<alt (* -1 (* x (- 1 (/ 1 z))))>
#<alt (+ (* -1 (* x (- 1 (/ 1 z)))) (/ (* x y) z))>
#<alt (+ (* -1 (* x (- 1 (/ 1 z)))) (/ (* x y) z))>
#<alt (+ (* -1 (* x (- 1 (/ 1 z)))) (/ (* x y) z))>
#<alt (/ (* x y) z)>
#<alt (* y (+ (* -1 (/ (* x (- 1 (/ 1 z))) y)) (/ x z)))>
#<alt (* y (+ (* -1 (/ (* x (- 1 (/ 1 z))) y)) (/ x z)))>
#<alt (* y (+ (* -1 (/ (* x (- 1 (/ 1 z))) y)) (/ x z)))>
#<alt (/ (* x y) z)>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- (/ 1 z) 1)) y)))))>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- (/ 1 z) 1)) y)))))>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- (/ 1 z) 1)) y)))))>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)>
#<alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)>
#<alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (/ (* x (+ 1 y)) z))>
#<alt (+ (* -1 x) (/ (* x (+ 1 y)) z))>
#<alt (+ (* -1 x) (/ (* x (+ 1 y)) z))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (/ (* x (+ 1 y)) z))>
#<alt (+ (* -1 x) (/ (* x (+ 1 y)) z))>
#<alt (+ (* -1 x) (/ (* x (+ 1 y)) z))>
#<alt (- (/ 1 z) 1)>
#<alt (- (+ (/ 1 z) (/ y z)) 1)>
#<alt (- (+ (/ 1 z) (/ y z)) 1)>
#<alt (- (+ (/ 1 z) (/ y z)) 1)>
#<alt (/ y z)>
#<alt (* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y)))>
#<alt (* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y)))>
#<alt (* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y)))>
#<alt (/ y z)>
#<alt (* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z))))>
#<alt (* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z))))>
#<alt (* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z))))>
#<alt (/ (+ 1 y) z)>
#<alt (/ (- (* -1 z) (* -1 (+ 1 y))) z)>
#<alt (/ (- (* -1 z) (* -1 (+ 1 y))) z)>
#<alt (/ (- (* -1 z) (* -1 (+ 1 y))) z)>
#<alt -1>
#<alt (- (+ (/ 1 z) (/ y z)) 1)>
#<alt (- (+ (/ 1 z) (/ y z)) 1)>
#<alt (- (+ (/ 1 z) (/ y z)) 1)>
#<alt -1>
#<alt (- (+ (/ 1 z) (/ y z)) 1)>
#<alt (- (+ (/ 1 z) (/ y z)) 1)>
#<alt (- (+ (/ 1 z) (/ y z)) 1)>
#<alt (/ -1 z)>
#<alt (- (* -1 (/ y z)) (/ 1 z))>
#<alt (- (* -1 (/ y z)) (/ 1 z))>
#<alt (- (* -1 (/ y z)) (/ 1 z))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (* y (+ (/ 1 z) (/ 1 (* y z)))))>
#<alt (* -1 (* y (+ (/ 1 z) (/ 1 (* y z)))))>
#<alt (* -1 (* y (+ (/ 1 z) (/ 1 (* y z)))))>
#<alt (* -1 (/ y z))>
#<alt (* -1 (* y (+ (/ 1 z) (/ 1 (* y z)))))>
#<alt (* -1 (* y (+ (/ 1 z) (/ 1 (* y z)))))>
#<alt (* -1 (* y (+ (/ 1 z) (/ 1 (* y z)))))>
#<alt (* -1 (/ (+ 1 y) z))>
#<alt (* -1 (/ (+ 1 y) z))>
#<alt (* -1 (/ (+ 1 y) z))>
#<alt (* -1 (/ (+ 1 y) z))>
#<alt (* -1 (/ (+ 1 y) z))>
#<alt (* -1 (/ (+ 1 y) z))>
#<alt (* -1 (/ (+ 1 y) z))>
#<alt (* -1 (/ (+ 1 y) z))>
#<alt (* -1 (/ (+ 1 y) z))>
#<alt (* -1 (/ (+ 1 y) z))>
#<alt (* -1 (/ (+ 1 y) z))>
#<alt (* -1 (/ (+ 1 y) z))>
#<alt -1>
#<alt (- (* -1 y) 1)>
#<alt (- (* -1 y) 1)>
#<alt (- (* -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 (* -1 y)>
#<alt (* -1 (* y (+ 1 (/ 1 y))))>
#<alt (* -1 (* y (+ 1 (/ 1 y))))>
#<alt (* -1 (* y (+ 1 (/ 1 y))))>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- 1 z)) z)>
#<alt (+ (/ (* x y) z) (/ (* x (- 1 z)) z))>
#<alt (+ (/ (* x y) z) (/ (* x (- 1 z)) z))>
#<alt (+ (/ (* x y) z) (/ (* x (- 1 z)) z))>
#<alt (/ (* x y) z)>
#<alt (* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))>
#<alt (* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))>
#<alt (* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))>
#<alt (/ (* x y) z)>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)>
#<alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)>
#<alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (/ (* x (+ 1 y)) z))>
#<alt (+ (* -1 x) (/ (* x (+ 1 y)) z))>
#<alt (+ (* -1 x) (/ (* x (+ 1 y)) z))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (/ (* x (+ 1 y)) z))>
#<alt (+ (* -1 x) (/ (* x (+ 1 y)) z))>
#<alt (+ (* -1 x) (/ (* x (+ 1 y)) z))>
#<alt (* x (- (+ 1 y) z))>
#<alt (* x (- (+ 1 y) z))>
#<alt (* x (- (+ 1 y) z))>
#<alt (* x (- (+ 1 y) z))>
#<alt (* x (- (+ 1 y) z))>
#<alt (* x (- (+ 1 y) z))>
#<alt (* x (- (+ 1 y) z))>
#<alt (* x (- (+ 1 y) z))>
#<alt (* x (- (+ 1 y) z))>
#<alt (* x (- (+ 1 y) z))>
#<alt (* x (- (+ 1 y) z))>
#<alt (* x (- (+ 1 y) z))>
#<alt (* x (- 1 z))>
#<alt (+ (* x y) (* x (- 1 z)))>
#<alt (+ (* x y) (* x (- 1 z)))>
#<alt (+ (* x y) (* x (- 1 z)))>
#<alt (* x y)>
#<alt (* y (+ x (/ (* x (- 1 z)) y)))>
#<alt (* y (+ x (/ (* x (- 1 z)) y)))>
#<alt (* y (+ x (/ (* x (- 1 z)) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))>
#<alt (* x (+ 1 y))>
#<alt (+ (* -1 (* x z)) (* x (+ 1 y)))>
#<alt (+ (* -1 (* x z)) (* x (+ 1 y)))>
#<alt (+ (* -1 (* x z)) (* x (+ 1 y)))>
#<alt (* -1 (* x z))>
#<alt (* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))>
#<alt (* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))>
#<alt (* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))>
#<alt (* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))>
#<alt (* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))>
#<alt (- 1 z)>
#<alt (- (+ 1 y) z)>
#<alt (- (+ 1 y) z)>
#<alt (- (+ 1 y) z)>
#<alt y>
#<alt (* y (- (+ 1 (/ 1 y)) (/ z y)))>
#<alt (* y (- (+ 1 (/ 1 y)) (/ z y)))>
#<alt (* y (- (+ 1 (/ 1 y)) (/ z y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))>
#<alt (+ 1 y)>
#<alt (+ 1 (+ y (* -1 z)))>
#<alt (+ 1 (+ y (* -1 z)))>
#<alt (+ 1 (+ y (* -1 z)))>
#<alt (* -1 z)>
#<alt (* z (- (+ (/ 1 z) (/ y z)) 1))>
#<alt (* z (- (+ (/ 1 z) (/ y z)) 1))>
#<alt (* z (- (+ (/ 1 z) (/ y z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))>
#<alt (* -1 z)>
#<alt (- y z)>
#<alt (- y z)>
#<alt (- y z)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt y>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt y>
#<alt (+ y (* -1 z))>
#<alt (+ y (* -1 z))>
#<alt (+ y (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ y z) 1))>
#<alt (* z (- (/ y z) 1))>
#<alt (* z (- (/ y z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
Calls

54 calls:

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

rewrite276.0ms (3.2%)

Algorithm
batch-egg-rewrite
Rules
3744×/-lowering-/.f32
3744×/-lowering-/.f64
3626×*-lowering-*.f32
3626×*-lowering-*.f64
2284×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01348
19346
284446
0880346
Stop Event
iter limit
node limit
Counts
8 → 378
Calls
Call 1
Inputs
(* x (- -1 (/ (- -1 y) z)))
(- -1 (/ (- -1 y) z))
(/ (- -1 y) z)
(- -1 y)
(/ (* x (+ (- y z) 1)) z)
(* x (+ (- y z) 1))
(+ (- y z) 1)
(- y z)
Outputs
(+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) z)))
(+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) x))
(+.f64 (*.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) z)) (-.f64 #s(literal 0 binary64) x))
(+.f64 (*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) x) (-.f64 #s(literal 0 binary64) x))
(+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z))) (*.f64 x (/.f64 y z)))
(+.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)) x) (*.f64 (/.f64 y z) x))
(fma.f64 x #s(literal -1 binary64) (*.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) z)))
(fma.f64 #s(literal -1 binary64) x (*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) x))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) z))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (*.f64 z z)) (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z))))) (+.f64 (*.f64 (/.f64 (*.f64 z (*.f64 z z)) (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z)))) (/.f64 (*.f64 z (*.f64 z z)) (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z))))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z)))) (/.f64 (*.f64 z (*.f64 z z)) (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 y z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (+.f64 y z)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y z)) (/.f64 (*.f64 y y) (+.f64 y z))) (+.f64 (*.f64 (/.f64 (*.f64 z z) (+.f64 y z)) (/.f64 (*.f64 z z) (+.f64 y z))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y z)) (/.f64 (*.f64 z z) (+.f64 y z))))))
(/.f64 (-.f64 (*.f64 z z) (*.f64 y y)) (-.f64 (-.f64 #s(literal 0 binary64) z) y))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z))))) (*.f64 (/.f64 (*.f64 z (*.f64 z z)) (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z)))) (/.f64 (*.f64 z (*.f64 z z)) (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z)))))) (+.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z)))) (/.f64 (*.f64 z (*.f64 z z)) (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y z)) (/.f64 (*.f64 y y) (+.f64 y z))) (*.f64 (/.f64 (*.f64 z z) (+.f64 y z)) (/.f64 (*.f64 z z) (+.f64 y z)))) (+.f64 (/.f64 (*.f64 y y) (+.f64 y z)) (/.f64 (*.f64 z z) (+.f64 y z))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal -1 binary64))
(*.f64 (-.f64 y z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 y z))
(*.f64 (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z)))))
(*.f64 (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (-.f64 (*.f64 z z) (neg.f64 (*.f64 y z))))))
(*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 y z)))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (*.f64 z (+.f64 y z))))))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 y z))))

simplify212.0ms (2.5%)

Algorithm
egg-herbie
Rules
2748×*-lowering-*.f32
2748×*-lowering-*.f64
1690×fnmsub-define
1002×--lowering--.f32
1002×--lowering--.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01191475
14211328
214101188
348871188
081471188
Stop Event
iter limit
node limit
Counts
216 → 216
Calls
Call 1
Inputs
(* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* x (- 1 (/ 1 z))))
(+ (* -1 (* x (- 1 (/ 1 z)))) (/ (* x y) z))
(+ (* -1 (* x (- 1 (/ 1 z)))) (/ (* x y) z))
(+ (* -1 (* x (- 1 (/ 1 z)))) (/ (* x y) z))
(/ (* x y) z)
(* y (+ (* -1 (/ (* x (- 1 (/ 1 z))) y)) (/ x z)))
(* y (+ (* -1 (/ (* x (- 1 (/ 1 z))) y)) (/ x z)))
(* y (+ (* -1 (/ (* x (- 1 (/ 1 z))) y)) (/ x z)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- (/ 1 z) 1)) y)))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- (/ 1 z) 1)) y)))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- (/ 1 z) 1)) y)))))
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(- (/ 1 z) 1)
(- (+ (/ 1 z) (/ y z)) 1)
(- (+ (/ 1 z) (/ y z)) 1)
(- (+ (/ 1 z) (/ y z)) 1)
(/ y z)
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y)))
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y)))
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y)))
(/ y z)
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z))))
(/ (+ 1 y) z)
(/ (- (* -1 z) (* -1 (+ 1 y))) z)
(/ (- (* -1 z) (* -1 (+ 1 y))) z)
(/ (- (* -1 z) (* -1 (+ 1 y))) z)
-1
(- (+ (/ 1 z) (/ y z)) 1)
(- (+ (/ 1 z) (/ y z)) 1)
(- (+ (/ 1 z) (/ y z)) 1)
-1
(- (+ (/ 1 z) (/ y z)) 1)
(- (+ (/ 1 z) (/ y z)) 1)
(- (+ (/ 1 z) (/ y z)) 1)
(/ -1 z)
(- (* -1 (/ y z)) (/ 1 z))
(- (* -1 (/ y z)) (/ 1 z))
(- (* -1 (/ y z)) (/ 1 z))
(* -1 (/ y z))
(* -1 (* y (+ (/ 1 z) (/ 1 (* y z)))))
(* -1 (* y (+ (/ 1 z) (/ 1 (* y z)))))
(* -1 (* y (+ (/ 1 z) (/ 1 (* y z)))))
(* -1 (/ y z))
(* -1 (* y (+ (/ 1 z) (/ 1 (* y z)))))
(* -1 (* y (+ (/ 1 z) (/ 1 (* y z)))))
(* -1 (* y (+ (/ 1 z) (/ 1 (* y z)))))
(* -1 (/ (+ 1 y) z))
(* -1 (/ (+ 1 y) z))
(* -1 (/ (+ 1 y) z))
(* -1 (/ (+ 1 y) z))
(* -1 (/ (+ 1 y) z))
(* -1 (/ (+ 1 y) z))
(* -1 (/ (+ 1 y) z))
(* -1 (/ (+ 1 y) z))
(* -1 (/ (+ 1 y) z))
(* -1 (/ (+ 1 y) z))
(* -1 (/ (+ 1 y) z))
(* -1 (/ (+ 1 y) z))
-1
(- (* -1 y) 1)
(- (* -1 y) 1)
(- (* -1 y) 1)
(* -1 y)
(* -1 (* y (+ 1 (/ 1 y))))
(* -1 (* y (+ 1 (/ 1 y))))
(* -1 (* y (+ 1 (/ 1 y))))
(* -1 y)
(* -1 (* y (+ 1 (/ 1 y))))
(* -1 (* y (+ 1 (/ 1 y))))
(* -1 (* y (+ 1 (/ 1 y))))
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* 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))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- (+ 1 y) z))
(* x (- 1 z))
(+ (* x y) (* x (- 1 z)))
(+ (* x y) (* x (- 1 z)))
(+ (* x y) (* x (- 1 z)))
(* x y)
(* y (+ x (/ (* x (- 1 z)) y)))
(* y (+ x (/ (* x (- 1 z)) y)))
(* y (+ x (/ (* x (- 1 z)) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(* x (+ 1 y))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(* -1 (* x z))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(* -1 (* x z))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(- 1 z)
(- (+ 1 y) z)
(- (+ 1 y) z)
(- (+ 1 y) z)
y
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* y (- (+ 1 (/ 1 y)) (/ z y)))
y
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(+ 1 y)
(+ 1 (+ y (* -1 z)))
(+ 1 (+ y (* -1 z)))
(+ 1 (+ y (* -1 z)))
(* -1 z)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 z)
(- y z)
(- y z)
(- y z)
y
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
y
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
y
(+ y (* -1 z))
(+ y (* -1 z))
(+ y (* -1 z))
(* -1 z)
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
Outputs
(* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(* -1 (* x (+ 1 (* -1 (/ (+ 1 y) z)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(* -1 (* x (- 1 (/ 1 z))))
(-.f64 (/.f64 x z) x)
(+ (* -1 (* x (- 1 (/ 1 z)))) (/ (* x y) z))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(+ (* -1 (* x (- 1 (/ 1 z)))) (/ (* x y) z))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(+ (* -1 (* x (- 1 (/ 1 z)))) (/ (* x y) z))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* y (+ (* -1 (/ (* x (- 1 (/ 1 z))) y)) (/ x z)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(* y (+ (* -1 (/ (* x (- 1 (/ 1 z))) y)) (/ x z)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(* y (+ (* -1 (/ (* x (- 1 (/ 1 z))) y)) (/ x z)))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- (/ 1 z) 1)) y)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- (/ 1 z) 1)) y)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- (/ 1 z) 1)) y)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(- (/ 1 z) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z))
(- (+ (/ 1 z) (/ y z)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z))
(- (+ (/ 1 z) (/ y z)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z))
(- (+ (/ 1 z) (/ y z)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z))
(/ y z)
(/.f64 y z)
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y)))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z))
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y)))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z))
(* y (- (+ (/ 1 z) (/ 1 (* y z))) (/ 1 y)))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z))
(/ y z)
(/.f64 y z)
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z))
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z))
(* -1 (* y (- (* -1 (/ (- (/ 1 z) 1) y)) (/ 1 z))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z))
(/ (+ 1 y) z)
(/.f64 (+.f64 #s(literal 1 binary64) y) z)
(/ (- (* -1 z) (* -1 (+ 1 y))) z)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z))
(/ (- (* -1 z) (* -1 (+ 1 y))) z)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z))
(/ (- (* -1 z) (* -1 (+ 1 y))) z)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z))
-1
#s(literal -1 binary64)
(- (+ (/ 1 z) (/ y z)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z))
(- (+ (/ 1 z) (/ y z)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z))
(- (+ (/ 1 z) (/ y z)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z))
-1
#s(literal -1 binary64)
(- (+ (/ 1 z) (/ y z)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z))
(- (+ (/ 1 z) (/ y z)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z))
(- (+ (/ 1 z) (/ y z)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z))
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(- (* -1 (/ y z)) (/ 1 z))
(/.f64 (-.f64 #s(literal -1 binary64) y) z)
(- (* -1 (/ y z)) (/ 1 z))
(/.f64 (-.f64 #s(literal -1 binary64) y) z)
(- (* -1 (/ y z)) (/ 1 z))
(/.f64 (-.f64 #s(literal -1 binary64) y) z)
(* -1 (/ y z))
(/.f64 (-.f64 #s(literal 0 binary64) y) z)
(* -1 (* y (+ (/ 1 z) (/ 1 (* y z)))))
(/.f64 (-.f64 #s(literal -1 binary64) y) z)
(* -1 (* y (+ (/ 1 z) (/ 1 (* y z)))))
(/.f64 (-.f64 #s(literal -1 binary64) y) z)
(* -1 (* y (+ (/ 1 z) (/ 1 (* y z)))))
(/.f64 (-.f64 #s(literal -1 binary64) y) z)
(* -1 (/ y z))
(/.f64 (-.f64 #s(literal 0 binary64) y) z)
(* -1 (* y (+ (/ 1 z) (/ 1 (* y z)))))
(/.f64 (-.f64 #s(literal -1 binary64) y) z)
(* -1 (* y (+ (/ 1 z) (/ 1 (* y z)))))
(/.f64 (-.f64 #s(literal -1 binary64) y) z)
(* -1 (* y (+ (/ 1 z) (/ 1 (* y z)))))
(/.f64 (-.f64 #s(literal -1 binary64) y) z)
(* -1 (/ (+ 1 y) z))
(/.f64 (-.f64 #s(literal -1 binary64) y) z)
(* -1 (/ (+ 1 y) z))
(/.f64 (-.f64 #s(literal -1 binary64) y) z)
(* -1 (/ (+ 1 y) z))
(/.f64 (-.f64 #s(literal -1 binary64) y) z)
(* -1 (/ (+ 1 y) z))
(/.f64 (-.f64 #s(literal -1 binary64) y) z)
(* -1 (/ (+ 1 y) z))
(/.f64 (-.f64 #s(literal -1 binary64) y) z)
(* -1 (/ (+ 1 y) z))
(/.f64 (-.f64 #s(literal -1 binary64) y) z)
(* -1 (/ (+ 1 y) z))
(/.f64 (-.f64 #s(literal -1 binary64) y) z)
(* -1 (/ (+ 1 y) z))
(/.f64 (-.f64 #s(literal -1 binary64) y) z)
(* -1 (/ (+ 1 y) z))
(/.f64 (-.f64 #s(literal -1 binary64) y) z)
(* -1 (/ (+ 1 y) z))
(/.f64 (-.f64 #s(literal -1 binary64) y) z)
(* -1 (/ (+ 1 y) z))
(/.f64 (-.f64 #s(literal -1 binary64) y) z)
(* -1 (/ (+ 1 y) z))
(/.f64 (-.f64 #s(literal -1 binary64) y) z)
-1
#s(literal -1 binary64)
(- (* -1 y) 1)
(-.f64 #s(literal -1 binary64) y)
(- (* -1 y) 1)
(-.f64 #s(literal -1 binary64) 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)
(* -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 y) z)) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x (- 1 z)) z)
(-.f64 (/.f64 x z) x)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(* x (- (+ 1 y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(* x (- (+ 1 y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(* x (- (+ 1 y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(* x (- (+ 1 y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(* x (- (+ 1 y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(* x (- (+ 1 y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(* x (- (+ 1 y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(* x (- (+ 1 y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(* x (- (+ 1 y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(* x (- (+ 1 y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(* x (- (+ 1 y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(* x (- (+ 1 y) z))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+ (* x y) (* x (- 1 z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(+ (* x y) (* x (- 1 z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(+ (* x y) (* x (- 1 z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(* x y)
(*.f64 x y)
(* y (+ x (/ (* x (- 1 z)) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(* y (+ x (/ (* x (- 1 z)) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(* y (+ x (/ (* x (- 1 z)) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (* x (- 1 z)) y)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(* x (+ 1 y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(+ (* -1 (* x z)) (* x (+ 1 y)))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(* z (+ (* -1 x) (/ (* x (+ 1 y)) z)))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(* -1 (* z (+ x (* -1 (/ (* x (+ 1 y)) z)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 y z)))
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
(- (+ 1 y) z)
(+.f64 #s(literal 1 binary64) (-.f64 y z))
(- (+ 1 y) z)
(+.f64 #s(literal 1 binary64) (-.f64 y z))
(- (+ 1 y) z)
(+.f64 #s(literal 1 binary64) (-.f64 y z))
y
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(+.f64 #s(literal 1 binary64) (-.f64 y z))
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(+.f64 #s(literal 1 binary64) (-.f64 y z))
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(+.f64 #s(literal 1 binary64) (-.f64 y z))
y
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(+.f64 #s(literal 1 binary64) (-.f64 y z))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(+.f64 #s(literal 1 binary64) (-.f64 y z))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(+.f64 #s(literal 1 binary64) (-.f64 y z))
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 (+ y (* -1 z)))
(+.f64 #s(literal 1 binary64) (-.f64 y z))
(+ 1 (+ y (* -1 z)))
(+.f64 #s(literal 1 binary64) (-.f64 y z))
(+ 1 (+ y (* -1 z)))
(+.f64 #s(literal 1 binary64) (-.f64 y z))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(+.f64 #s(literal 1 binary64) (-.f64 y z))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(+.f64 #s(literal 1 binary64) (-.f64 y z))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(+.f64 #s(literal 1 binary64) (-.f64 y z))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(+.f64 #s(literal 1 binary64) (-.f64 y z))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(+.f64 #s(literal 1 binary64) (-.f64 y z))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(+.f64 #s(literal 1 binary64) (-.f64 y z))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(- y z)
(-.f64 y z)
(- y z)
(-.f64 y z)
(- y z)
(-.f64 y z)
y
(* y (+ 1 (* -1 (/ z y))))
(-.f64 y z)
(* y (+ 1 (* -1 (/ z y))))
(-.f64 y z)
(* y (+ 1 (* -1 (/ z y))))
(-.f64 y z)
y
(* -1 (* y (- (/ z y) 1)))
(-.f64 y z)
(* -1 (* y (- (/ z y) 1)))
(-.f64 y z)
(* -1 (* y (- (/ z y) 1)))
(-.f64 y z)
y
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* z (- (/ y z) 1))
(-.f64 y z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(-.f64 y z)

eval65.0ms (0.8%)

Compiler

Compiled 11106 to 1555 computations (86% saved)

prune75.0ms (0.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New58410594
Fresh000
Picked112
Done000
Total58511596
Accuracy
100.0%
Counts
596 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.6%
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) z)
64.8%
(/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) z)
39.0%
(/.f64 (*.f64 x y) z)
96.3%
(/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64))))
66.4%
(-.f64 (/.f64 x z) x)
35.8%
(-.f64 #s(literal 0 binary64) x)
92.1%
(*.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) (/.f64 x z))
36.5%
(*.f64 x (/.f64 y z))
76.5%
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) z) (*.f64 z (/.f64 z y)))))
95.8%
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) z)))
95.8%
(*.f64 x (-.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y z))))
Compiler

Compiled 228 to 148 computations (35.1% saved)

simplify127.0ms (1.5%)

Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x z)
cost-diff0
(-.f64 y z)
cost-diff0
(+.f64 (-.f64 y z) #s(literal 1 binary64))
cost-diff0
(*.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) (/.f64 x z))
cost-diff0
(+.f64 y #s(literal 1 binary64))
cost-diff0
(*.f64 x (+.f64 y #s(literal 1 binary64)))
cost-diff0
(/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) z)
cost-diff0
(/.f64 x z)
cost-diff0
(-.f64 (/.f64 x z) x)
cost-diff0
(-.f64 #s(literal 0 binary64) x)
cost-diff0
(-.f64 y z)
cost-diff0
(+.f64 (-.f64 y z) #s(literal 1 binary64))
cost-diff0
(/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))
cost-diff0
(/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64))))
Rules
3250×sum5-define
1786×fma-lowering-fma.f32
1786×fma-lowering-fma.f64
1550×fma-define
1502×sum4-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01685
13883
27883
320781
467081
5310681
6573081
0831381
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ x (/ z (+ (- y z) 1)))
x
(/ z (+ (- y z) 1))
z
(+ (- y z) 1)
(- y z)
y
1
(- 0 x)
0
x
(- (/ x z) x)
(/ x z)
x
z
(/ (* x (+ y 1)) z)
(* x (+ y 1))
x
(+ y 1)
y
1
z
(* (+ (- y z) 1) (/ x z))
(+ (- y z) 1)
(- y z)
y
z
1
(/ x z)
x
Outputs
(/ x (/ z (+ (- y z) 1)))
(*.f64 x (+.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) #s(literal -1 binary64)))
x
(/ z (+ (- y z) 1))
(/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))
z
(+ (- y z) 1)
(+.f64 (-.f64 y z) #s(literal 1 binary64))
(- y z)
(-.f64 y z)
y
1
#s(literal 1 binary64)
(- 0 x)
(-.f64 #s(literal 0 binary64) x)
0
#s(literal 0 binary64)
x
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(/ x z)
(/.f64 x z)
x
z
(/ (* x (+ y 1)) z)
(/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) z)
(* x (+ y 1))
(*.f64 x (+.f64 y #s(literal 1 binary64)))
x
(+ y 1)
(+.f64 y #s(literal 1 binary64))
y
1
#s(literal 1 binary64)
z
(* (+ (- y z) 1) (/ x z))
(*.f64 x (+.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) #s(literal -1 binary64)))
(+ (- y z) 1)
(+.f64 (-.f64 y z) #s(literal 1 binary64))
(- y z)
(-.f64 y z)
y
z
1
#s(literal 1 binary64)
(/ x z)
(/.f64 x z)
x

localize130.0ms (1.5%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 x z)
accuracy100.0%
(-.f64 y z)
accuracy100.0%
(+.f64 (-.f64 y z) #s(literal 1 binary64))
accuracy92.1%
(*.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) (/.f64 x z))
accuracy100.0%
(+.f64 y #s(literal 1 binary64))
accuracy100.0%
(*.f64 x (+.f64 y #s(literal 1 binary64)))
accuracy97.0%
(/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) z)
accuracy100.0%
(/.f64 x z)
accuracy100.0%
(-.f64 (/.f64 x z) x)
accuracy100.0%
(-.f64 #s(literal 0 binary64) x)
accuracy100.0%
(-.f64 y z)
accuracy100.0%
(+.f64 (-.f64 y z) #s(literal 1 binary64))
accuracy100.0%
(/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))
accuracy96.3%
(/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64))))
Results
77.0ms256×0valid
Compiler

Compiled 90 to 17 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-div: 15.0ms (57.9% of total)
ival-sub: 4.0ms (15.4% of total)
ival-add: 3.0ms (11.6% of total)
ival-mult: 3.0ms (11.6% of total)
const: 1.0ms (3.9% of total)
backward-pass: 0.0ms (0% of total)

series16.0ms (0.2%)

Counts
11 → 276
Calls
Call 1
Inputs
#<alt (/ x (/ z (+ (- y z) 1)))>
#<alt (/ z (+ (- y z) 1))>
#<alt (+ (- y z) 1)>
#<alt (- y z)>
#<alt (- 0 x)>
#<alt (- (/ x z) x)>
#<alt (/ x z)>
#<alt (/ (* x (+ y 1)) z)>
#<alt (* x (+ y 1))>
#<alt (+ y 1)>
#<alt (* (+ (- y z) 1) (/ x z))>
Outputs
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)>
#<alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)>
#<alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (/ (* x (+ 1 y)) z))>
#<alt (+ (* -1 x) (/ (* x (+ 1 y)) z))>
#<alt (+ (* -1 x) (/ (* x (+ 1 y)) z))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (/ (* x (+ 1 y)) z))>
#<alt (+ (* -1 x) (/ (* x (+ 1 y)) z))>
#<alt (+ (* -1 x) (/ (* x (+ 1 y)) z))>
#<alt (/ (* x (- 1 z)) z)>
#<alt (+ (/ (* x y) z) (/ (* x (- 1 z)) z))>
#<alt (+ (/ (* x y) z) (/ (* x (- 1 z)) z))>
#<alt (+ (/ (* x y) z) (/ (* x (- 1 z)) z))>
#<alt (/ (* x y) z)>
#<alt (* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))>
#<alt (* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))>
#<alt (* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))>
#<alt (/ (* x y) z)>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))>
#<alt (/ z (+ 1 y))>
#<alt (* z (+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2))))>
#<alt (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y))))>
#<alt (* z (+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y))))>
#<alt -1>
#<alt (- (* -1 (/ (+ 1 y) z)) 1)>
#<alt (- (* -1 (/ (pow (+ 1 y) 2) (pow z 2))) (+ 1 (+ (/ 1 z) (/ y z))))>
#<alt (- (* -1 (/ (pow (+ 1 y) 3) (pow z 3))) (+ 1 (+ (/ 1 z) (+ (/ y z) (/ (pow (+ 1 y) 2) (pow z 2))))))>
#<alt -1>
#<alt (- (* -1 (/ (+ 1 y) z)) 1)>
#<alt (- (* -1 (/ (- (/ (pow (+ 1 y) 2) z) (* -1 (+ 1 y))) z)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 y) 3) z)) (pow (+ 1 y) 2)) z)) (* -1 (+ 1 y))) z)) 1)>
#<alt (/ z (- 1 z))>
#<alt (+ (* -1 (/ (* y z) (pow (- 1 z) 2))) (/ z (- 1 z)))>
#<alt (+ (* y (- (/ (* y z) (pow (- 1 z) 3)) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z)))>
#<alt (+ (* y (- (* y (- (* -1 (/ (* y z) (pow (- 1 z) 4))) (* -1 (/ z (pow (- 1 z) 3))))) (/ z (pow (- 1 z) 2)))) (/ z (- 1 z)))>
#<alt (/ z y)>
#<alt (/ (+ z (* -1 (/ (* z (- 1 z)) y))) y)>
#<alt (/ (- (+ z (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y)) y)>
#<alt (/ (- (+ z (* -1 (/ (* z (pow (- 1 z) 3)) (pow y 3)))) (+ (* -1 (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y))) y)>
#<alt (/ z y)>
#<alt (* -1 (/ (+ (* -1 z) (/ (* z (- 1 z)) y)) y))>
#<alt (* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* z (pow (- 1 z) 2)) y) (* z (- 1 z))) y))) y))>
#<alt (* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- 1 z) 3)) y) (* z (pow (- 1 z) 2))) y)) (* z (- 1 z))) y))) y))>
#<alt (- 1 z)>
#<alt (- (+ 1 y) z)>
#<alt (- (+ 1 y) z)>
#<alt (- (+ 1 y) z)>
#<alt y>
#<alt (* y (- (+ 1 (/ 1 y)) (/ z y)))>
#<alt (* y (- (+ 1 (/ 1 y)) (/ z y)))>
#<alt (* y (- (+ 1 (/ 1 y)) (/ z y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))>
#<alt (+ 1 y)>
#<alt (+ 1 (+ y (* -1 z)))>
#<alt (+ 1 (+ y (* -1 z)))>
#<alt (+ 1 (+ y (* -1 z)))>
#<alt (* -1 z)>
#<alt (* z (- (+ (/ 1 z) (/ y z)) 1))>
#<alt (* z (- (+ (/ 1 z) (/ y z)) 1))>
#<alt (* z (- (+ (/ 1 z) (/ y z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))>
#<alt (* -1 z)>
#<alt (- y z)>
#<alt (- y z)>
#<alt (- y z)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt y>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt y>
#<alt (+ y (* -1 z))>
#<alt (+ y (* -1 z))>
#<alt (+ y (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ y z) 1))>
#<alt (* z (- (/ y z) 1))>
#<alt (* z (- (/ y z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 z) 1))>
#<alt (* x (- (/ 1 z) 1))>
#<alt (* x (- (/ 1 z) 1))>
#<alt (* x (- (/ 1 z) 1))>
#<alt (* x (- (/ 1 z) 1))>
#<alt (* x (- (/ 1 z) 1))>
#<alt (* x (- (/ 1 z) 1))>
#<alt (* x (- (/ 1 z) 1))>
#<alt (* -1 (* x (- 1 (/ 1 z))))>
#<alt (* -1 (* x (- 1 (/ 1 z))))>
#<alt (* -1 (* x (- 1 (/ 1 z))))>
#<alt (* -1 (* x (- 1 (/ 1 z))))>
#<alt (/ x z)>
#<alt (/ (+ x (* -1 (* x z))) z)>
#<alt (/ (+ x (* -1 (* x z))) z)>
#<alt (/ (+ x (* -1 (* x z))) z)>
#<alt (* -1 x)>
#<alt (- (/ x z) x)>
#<alt (- (/ x z) x)>
#<alt (- (/ x z) x)>
#<alt (* -1 x)>
#<alt (- (/ x z) x)>
#<alt (- (/ x z) x)>
#<alt (- (/ x z) x)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ x z)>
#<alt (+ (/ x z) (/ (* x y) z))>
#<alt (+ (/ x z) (/ (* x y) z))>
#<alt (+ (/ x z) (/ (* x y) z))>
#<alt (/ (* x y) z)>
#<alt (* y (+ (/ x z) (/ x (* y z))))>
#<alt (* y (+ (/ x z) (/ x (* y z))))>
#<alt (* y (+ (/ x z) (/ x (* y z))))>
#<alt (/ (* x y) z)>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ x (* y z))))))>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ x (* y z))))))>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ x (* y z))))))>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt x>
#<alt (+ x (* x y))>
#<alt (+ x (* x y))>
#<alt (+ x (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ x y)))>
#<alt (* y (+ x (/ x y)))>
#<alt (* y (+ x (/ x y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))>
#<alt 1>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (/ (* x (- 1 z)) z)>
#<alt (+ (/ (* x y) z) (/ (* x (- 1 z)) z))>
#<alt (+ (/ (* x y) z) (/ (* x (- 1 z)) z))>
#<alt (+ (/ (* x y) z) (/ (* x (- 1 z)) z))>
#<alt (/ (* x y) z)>
#<alt (* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))>
#<alt (* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))>
#<alt (* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))>
#<alt (/ (* x y) z)>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)>
#<alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)>
#<alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (/ (* x (+ 1 y)) z))>
#<alt (+ (* -1 x) (/ (* x (+ 1 y)) z))>
#<alt (+ (* -1 x) (/ (* x (+ 1 y)) z))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (/ (* x (+ 1 y)) z))>
#<alt (+ (* -1 x) (/ (* x (+ 1 y)) z))>
#<alt (+ (* -1 x) (/ (* x (+ 1 y)) z))>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
Calls

69 calls:

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

rewrite344.0ms (4%)

Algorithm
batch-egg-rewrite
Rules
4620×/-lowering-/.f32
4620×/-lowering-/.f64
4092×*-lowering-*.f32
4092×*-lowering-*.f64
2148×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01658
111556
2110556
0866156
Stop Event
iter limit
node limit
Counts
11 → 820
Calls
Call 1
Inputs
(/ x (/ z (+ (- y z) 1)))
(/ z (+ (- y z) 1))
(+ (- y z) 1)
(- y z)
(- 0 x)
(- (/ x z) x)
(/ x z)
(/ (* x (+ y 1)) z)
(* x (+ y 1))
(+ y 1)
(* (+ (- y z) 1) (/ x z))
Outputs
(+.f64 (/.f64 x z) (*.f64 (-.f64 y z) (/.f64 x z)))
(+.f64 (*.f64 (/.f64 x z) (-.f64 y z)) (*.f64 (/.f64 x z) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 x z) #s(literal 1 binary64)) (*.f64 (/.f64 x z) (-.f64 y z)))
(+.f64 (*.f64 (-.f64 y z) (/.f64 x z)) (/.f64 x z))
(exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))) (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) (+.f64 (-.f64 y z) #s(literal 1 binary64))))
(-.f64 (/.f64 y (/.f64 z x)) (/.f64 (+.f64 z #s(literal -1 binary64)) (/.f64 z x)))
(-.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 z x)) (/.f64 z (/.f64 z x)))
(-.f64 (/.f64 (/.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (+.f64 (-.f64 y z) #s(literal -1 binary64))) (/.f64 z x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 y z) #s(literal -1 binary64))) (/.f64 z x)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 y z) #s(literal 1 binary64)))) (/.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 y z) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 (-.f64 y z) #s(literal 1 binary64)))) (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) (+.f64 (-.f64 y z) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 (-.f64 y z) #s(literal 1 binary64)))) (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) (+.f64 (-.f64 y z) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 (-.f64 y z) #s(literal 1 binary64))) (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 (-.f64 y z) #s(literal 1 binary64))) (*.f64 x x))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 (-.f64 y z) #s(literal 1 binary64))) x)) (/.f64 (*.f64 x x) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 (-.f64 y z) #s(literal 1 binary64))) x)))
(fma.f64 x (/.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 y z) (/.f64 x z)))
(fma.f64 (-.f64 y z) (/.f64 x z) (/.f64 x z))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (*.f64 (-.f64 y z) (/.f64 x z)))
(fma.f64 (/.f64 x z) (-.f64 y z) (*.f64 (/.f64 x z) #s(literal 1 binary64)))
(fma.f64 (/.f64 x z) #s(literal 1 binary64) (*.f64 (/.f64 x z) (-.f64 y z)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)) (*.f64 (-.f64 y z) (/.f64 x z)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) x (*.f64 (-.f64 y z) (/.f64 x z)))
(neg.f64 (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) (+.f64 (-.f64 y z) #s(literal 1 binary64))))
(/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (+.f64 (-.f64 y z) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 y z) #s(literal 1 binary64))) (/.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 (-.f64 y z) #s(literal 1 binary64))) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 (-.f64 y z) #s(literal 1 binary64))) x) (-.f64 #s(literal 0 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 #s(literal 1 binary64) (-.f64 y z))) z) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) (*.f64 (-.f64 y z) (-.f64 y z)))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 #s(literal 1 binary64) (-.f64 y z))) (/.f64 z x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) (*.f64 (-.f64 y z) (-.f64 y z)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 #s(literal 1 binary64) (-.f64 y z))) (-.f64 #s(literal 0 binary64) z)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) (*.f64 (-.f64 y z) (-.f64 y z)))) (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (-.f64 y z) #s(literal -1 binary64)) z) (*.f64 (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) #s(literal -1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (-.f64 y z) #s(literal -1 binary64)) (/.f64 z x)) (*.f64 (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (-.f64 y z) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) z)) (*.f64 (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 #s(literal 1 binary64) (-.f64 y z)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) (*.f64 (-.f64 y z) (-.f64 y z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (+.f64 (-.f64 y z) #s(literal -1 binary64))) (*.f64 x (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 z x) (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 #s(literal 1 binary64) (-.f64 y z)))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) (*.f64 (-.f64 y z) (-.f64 y z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 z x) (+.f64 (-.f64 y z) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 #s(literal 1 binary64) (-.f64 y z)))) (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) (*.f64 (-.f64 y z) (-.f64 y z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 (-.f64 y z) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) z) (*.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x))))
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simplify265.0ms (3.1%)

Algorithm
egg-herbie
Rules
5352×*-lowering-*.f32
5352×*-lowering-*.f64
1844×/-lowering-/.f32
1844×/-lowering-/.f64
1824×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02081928
16871794
221891673
084381673
Stop Event
iter limit
node limit
Counts
276 → 276
Calls
Call 1
Inputs
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
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(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
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(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/ (* x y) z)
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(/ z (+ 1 y))
(* z (+ (/ 1 (+ 1 y)) (/ z (pow (+ 1 y) 2))))
(* z (+ (* z (+ (/ 1 (pow (+ 1 y) 2)) (/ z (pow (+ 1 y) 3)))) (/ 1 (+ 1 y))))
(* z (+ (* z (+ (* z (+ (/ 1 (pow (+ 1 y) 3)) (/ z (pow (+ 1 y) 4)))) (/ 1 (pow (+ 1 y) 2)))) (/ 1 (+ 1 y))))
-1
(- (* -1 (/ (+ 1 y) z)) 1)
(- (* -1 (/ (pow (+ 1 y) 2) (pow z 2))) (+ 1 (+ (/ 1 z) (/ y z))))
(- (* -1 (/ (pow (+ 1 y) 3) (pow z 3))) (+ 1 (+ (/ 1 z) (+ (/ y z) (/ (pow (+ 1 y) 2) (pow z 2))))))
-1
(- (* -1 (/ (+ 1 y) z)) 1)
(- (* -1 (/ (- (/ (pow (+ 1 y) 2) z) (* -1 (+ 1 y))) z)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 y) 3) z)) (pow (+ 1 y) 2)) z)) (* -1 (+ 1 y))) z)) 1)
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(/ (- (+ z (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y)) y)
(/ (- (+ z (* -1 (/ (* z (pow (- 1 z) 3)) (pow y 3)))) (+ (* -1 (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y))) y)
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(/ (* x (+ 1 y)) z)
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(/ (* x (+ 1 y)) z)
(/ (* x (+ 1 y)) z)
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(* x (+ 1 y))
x
(+ x (* x y))
(+ x (* x y))
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(* y (+ x (/ x y)))
(* x y)
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(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
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(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
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(/ (* x (- 1 z)) z)
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(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/ (* x y) z)
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(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
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(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
Outputs
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x (- (+ 1 y) z)) z)
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(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
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(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(* -1 x)
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(+ (* -1 x) (/ (* x (+ 1 y)) z))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
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(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x y) z)
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(/ (* x y) z)
(/.f64 (*.f64 x y) z)
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(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
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(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))
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(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (/.f64 (/.f64 z (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) y))))))
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-1
#s(literal -1 binary64)
(- (* -1 (/ (+ 1 y) z)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) z))
(- (* -1 (/ (pow (+ 1 y) 2) (pow z 2))) (+ 1 (+ (/ 1 z) (/ y z))))
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(- (* -1 (/ (pow (+ 1 y) 3) (pow z 3))) (+ 1 (+ (/ 1 z) (+ (/ y z) (/ (pow (+ 1 y) 2) (pow z 2))))))
(+.f64 (-.f64 (/.f64 (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)))) z)) z) (+.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y z))) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 (/ (+ 1 y) z)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) z))
(- (* -1 (/ (- (/ (pow (+ 1 y) 2) z) (* -1 (+ 1 y))) z)) 1)
(-.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64))))
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 y) 3) z)) (pow (+ 1 y) 2)) z)) (* -1 (+ 1 y))) z)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal 1 binary64)))) z)) z))
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(/ z y)
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(/ (+ z (* -1 (/ (* z (- 1 z)) y))) y)
(/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 z #s(literal -1 binary64)) y))) y)
(/ (- (+ z (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y)) y)
(/.f64 (+.f64 z (*.f64 (/.f64 z y) (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) y) (+.f64 z #s(literal -1 binary64))))) y)
(/ (- (+ z (* -1 (/ (* z (pow (- 1 z) 3)) (pow y 3)))) (+ (* -1 (/ (* z (pow (- 1 z) 2)) (pow y 2))) (/ (* z (- 1 z)) y))) y)
(/.f64 (+.f64 z (/.f64 (-.f64 (*.f64 z (+.f64 z #s(literal -1 binary64))) (/.f64 (*.f64 z (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) y) (+.f64 z #s(literal -1 binary64))))) y)) y)) y)
(/ z y)
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(* -1 (/ (+ (* -1 z) (* -1 (/ (- (/ (* z (pow (- 1 z) 2)) y) (* z (- 1 z))) y))) y))
(/.f64 (+.f64 z (*.f64 (/.f64 z y) (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) y) (+.f64 z #s(literal -1 binary64))))) y)
(* -1 (/ (+ (* -1 z) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- 1 z) 3)) y) (* z (pow (- 1 z) 2))) y)) (* z (- 1 z))) y))) y))
(/.f64 (+.f64 z (/.f64 (-.f64 (*.f64 z (+.f64 z #s(literal -1 binary64))) (/.f64 (*.f64 z (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)) y) (+.f64 z #s(literal -1 binary64))))) y)) y)) y)
(- 1 z)
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(- (+ 1 y) z)
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y
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(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y))))
y
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y))))
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 (+ y (* -1 z)))
(+.f64 y (-.f64 #s(literal 1 binary64) z))
(+ 1 (+ y (* -1 z)))
(+.f64 y (-.f64 #s(literal 1 binary64) z))
(+ 1 (+ y (* -1 z)))
(+.f64 y (-.f64 #s(literal 1 binary64) z))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(- y z)
(-.f64 y z)
(- y z)
(-.f64 y z)
(- y z)
(-.f64 y z)
y
(* y (+ 1 (* -1 (/ z y))))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* y (+ 1 (* -1 (/ z y))))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* y (+ 1 (* -1 (/ z y))))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y)))
y
(* -1 (* y (- (/ z y) 1)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* -1 (* y (- (/ z y) 1)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* -1 (* y (- (/ z y) 1)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y)))
y
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (/ y z) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(* z (- (/ y z) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(* z (- (/ y z) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (/ 1 z) 1))
(-.f64 (/.f64 x z) x)
(* x (- (/ 1 z) 1))
(-.f64 (/.f64 x z) x)
(* x (- (/ 1 z) 1))
(-.f64 (/.f64 x z) x)
(* x (- (/ 1 z) 1))
(-.f64 (/.f64 x z) x)
(* x (- (/ 1 z) 1))
(-.f64 (/.f64 x z) x)
(* x (- (/ 1 z) 1))
(-.f64 (/.f64 x z) x)
(* x (- (/ 1 z) 1))
(-.f64 (/.f64 x z) x)
(* x (- (/ 1 z) 1))
(-.f64 (/.f64 x z) x)
(* -1 (* x (- 1 (/ 1 z))))
(-.f64 (/.f64 x z) x)
(* -1 (* x (- 1 (/ 1 z))))
(-.f64 (/.f64 x z) x)
(* -1 (* x (- 1 (/ 1 z))))
(-.f64 (/.f64 x z) x)
(* -1 (* x (- 1 (/ 1 z))))
(-.f64 (/.f64 x z) x)
(/ x z)
(/.f64 x z)
(/ (+ x (* -1 (* x z))) z)
(-.f64 (/.f64 x z) x)
(/ (+ x (* -1 (* x z))) z)
(-.f64 (/.f64 x z) x)
(/ (+ x (* -1 (* x z))) z)
(-.f64 (/.f64 x z) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ x z)
(/.f64 x z)
(+ (/ x z) (/ (* x y) z))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(+ (/ x z) (/ (* x y) z))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(+ (/ x z) (/ (* x y) z))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* y (+ (/ x z) (/ x (* y z))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(* y (+ (/ x z) (/ x (* y z))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(* y (+ (/ x z) (/ x (* y z))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ x (* y z))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ x (* y z))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ x (* y z))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(* x (+ 1 y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(* x (+ 1 y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(* x (+ 1 y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(* x (+ 1 y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(* x (+ 1 y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(* x (+ 1 y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(* x (+ 1 y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(* x (+ 1 y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(* x (+ 1 y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(* x (+ 1 y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(* x (+ 1 y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(* x (+ 1 y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
x
(+ x (* x y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(+ x (* x y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(+ x (* x y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(* x y)
(*.f64 x y)
(* y (+ x (/ x y)))
(+.f64 (*.f64 x y) (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))))
(* y (+ x (/ x y)))
(+.f64 (*.f64 x y) (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))))
(* y (+ x (/ x y)))
(+.f64 (*.f64 x y) (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(+.f64 (*.f64 x y) (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 y)
(+.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
(* 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)
(/ (* x (- 1 z)) z)
(-.f64 (/.f64 x z) x)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))

eval169.0ms (2%)

Compiler

Compiled 24828 to 2406 computations (90.3% saved)

prune132.0ms (1.5%)

Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New130671313
Fresh145
Picked325
Done011
Total1310141324
Accuracy
100.0%
Counts
1324 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.6%
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) z)
64.8%
(/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) z)
39.0%
(/.f64 (*.f64 x y) z)
36.9%
(/.f64 x (/.f64 z y))
33.5%
(/.f64 x z)
91.5%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (+.f64 (-.f64 y z) #s(literal 1 binary64))))
66.4%
(-.f64 (/.f64 x z) x)
64.7%
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (+.f64 y #s(literal 1 binary64))))
60.6%
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x z))
40.5%
(*.f64 y (/.f64 x z))
36.5%
(*.f64 x (/.f64 y z))
76.5%
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) z) (*.f64 z (/.f64 z y)))))
95.8%
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) z)))
35.8%
(neg.f64 x)
Compiler

Compiled 248 to 160 computations (35.5% saved)

simplify405.0ms (4.7%)

Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x z)
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff128
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x z))
cost-diff0
(/.f64 z y)
cost-diff0
(/.f64 x (/.f64 z y))
cost-diff0
(/.f64 y z)
cost-diff0
(*.f64 x (/.f64 y z))
cost-diff-64
(neg.f64 x)
cost-diff0
(+.f64 (-.f64 y z) #s(literal 1 binary64))
cost-diff0
(/.f64 z x)
cost-diff0
(/.f64 (/.f64 z x) (+.f64 (-.f64 y z) #s(literal 1 binary64)))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (+.f64 (-.f64 y z) #s(literal 1 binary64))))
Rules
2516×*-lowering-*.f32
2516×*-lowering-*.f64
1638×sum3-define
1520×sum4-define
1212×fnmsub-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01775
14075
28574
323672
464870
5175570
6422570
0809970
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ 1 (/ (/ z x) (+ (- y z) 1)))
1
(/ (/ z x) (+ (- y z) 1))
(/ z x)
z
x
(+ (- y z) 1)
(- y z)
y
(neg x)
x
(* x (/ y z))
x
(/ y z)
y
z
(/ x (/ z y))
x
(/ z y)
z
y
(* (- 1 z) (/ x z))
(- 1 z)
1
z
(/ x z)
x
Outputs
(/ 1 (/ (/ z x) (+ (- y z) 1)))
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) z)))
1
#s(literal 1 binary64)
(/ (/ z x) (+ (- y z) 1))
(/.f64 (/.f64 z (+.f64 y (-.f64 #s(literal 1 binary64) z))) x)
(/ z x)
(/.f64 z x)
z
x
(+ (- y z) 1)
(+.f64 y (-.f64 #s(literal 1 binary64) z))
(- y z)
(-.f64 y z)
y
(neg x)
(-.f64 #s(literal 0 binary64) x)
x
(* x (/ y z))
(/.f64 x (/.f64 z y))
x
(/ y z)
(/.f64 y z)
y
z
(/ x (/ z y))
(/.f64 x (/.f64 z y))
x
(/ z y)
(/.f64 z y)
z
y
(* (- 1 z) (/ x z))
(-.f64 (/.f64 x z) x)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
z
(/ x z)
(/.f64 x z)
x

localize106.0ms (1.2%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 x z)
accuracy100.0%
(-.f64 #s(literal 1 binary64) z)
accuracy92.2%
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x z))
accuracy100.0%
(/.f64 z y)
accuracy90.2%
(/.f64 x (/.f64 z y))
accuracy100.0%
(/.f64 y z)
accuracy90.8%
(*.f64 x (/.f64 y z))
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(-.f64 y z)
accuracy100.0%
(+.f64 (-.f64 y z) #s(literal 1 binary64))
accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (+.f64 (-.f64 y z) #s(literal 1 binary64))))
accuracy91.7%
(/.f64 (/.f64 z x) (+.f64 (-.f64 y z) #s(literal 1 binary64)))
Results
84.0ms256×0valid
Compiler

Compiled 80 to 18 computations (77.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-div: 13.0ms (54.3% of total)
ival-sub: 3.0ms (12.5% of total)
ival-mult: 3.0ms (12.5% of total)
ival-neg: 3.0ms (12.5% of total)
ival-add: 1.0ms (4.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series20.0ms (0.2%)

Counts
13 → 336
Calls
Call 1
Inputs
#<alt (/ 1 (/ (/ z x) (+ (- y z) 1)))>
#<alt (/ (/ z x) (+ (- y z) 1))>
#<alt (/ z x)>
#<alt (+ (- y z) 1)>
#<alt (neg x)>
#<alt (* x (/ y z))>
#<alt (/ y z)>
#<alt (/ x (/ z y))>
#<alt (/ z y)>
#<alt (* (- 1 z) (/ x z))>
#<alt (- 1 z)>
#<alt (/ x z)>
#<alt (- y z)>
Outputs
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)>
#<alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)>
#<alt (/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (/ (* x (+ 1 y)) z))>
#<alt (+ (* -1 x) (/ (* x (+ 1 y)) z))>
#<alt (+ (* -1 x) (/ (* x (+ 1 y)) z))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (/ (* x (+ 1 y)) z))>
#<alt (+ (* -1 x) (/ (* x (+ 1 y)) z))>
#<alt (+ (* -1 x) (/ (* x (+ 1 y)) z))>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- (+ 1 y) z)) z)>
#<alt (/ (* x (- 1 z)) z)>
#<alt (+ (/ (* x y) z) (/ (* x (- 1 z)) z))>
#<alt (+ (/ (* x y) z) (/ (* x (- 1 z)) z))>
#<alt (+ (/ (* x y) z) (/ (* x (- 1 z)) z))>
#<alt (/ (* x y) z)>
#<alt (* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))>
#<alt (* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))>
#<alt (* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))>
#<alt (/ (* x y) z)>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))>
#<alt (/ z (* x (+ 1 y)))>
#<alt (* z (+ (/ 1 (* x (+ 1 y))) (/ z (* x (pow (+ 1 y) 2)))))>
#<alt (* z (+ (* z (+ (/ 1 (* x (pow (+ 1 y) 2))) (/ z (* x (pow (+ 1 y) 3))))) (/ 1 (* x (+ 1 y)))))>
#<alt (* z (+ (* z (+ (* z (+ (/ 1 (* x (pow (+ 1 y) 3))) (/ z (* x (pow (+ 1 y) 4))))) (/ 1 (* x (pow (+ 1 y) 2))))) (/ 1 (* x (+ 1 y)))))>
#<alt (/ -1 x)>
#<alt (- (* -1 (/ (+ (/ 1 x) (/ y x)) z)) (/ 1 x))>
#<alt (- (* -1 (/ (* (+ 1 y) (+ (/ 1 x) (/ y x))) (pow z 2))) (+ (/ 1 x) (+ (/ 1 (* x z)) (/ y (* x z)))))>
#<alt (- (* -1 (/ (* (pow (+ 1 y) 2) (+ (/ 1 x) (/ y x))) (pow z 3))) (+ (/ 1 x) (+ (/ 1 (* x z)) (+ (/ y (* x z)) (/ (* (+ 1 y) (+ (/ 1 x) (/ y x))) (pow z 2))))))>
#<alt (/ -1 x)>
#<alt (- (* -1 (/ (+ 1 y) (* x z))) (/ 1 x))>
#<alt (- (* -1 (/ (- (/ (pow (+ 1 y) 2) (* x z)) (* -1 (/ (+ 1 y) x))) z)) (/ 1 x))>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 y) 3) (* x z))) (/ (pow (+ 1 y) 2) x)) z)) (* -1 (/ (+ 1 y) x))) z)) (/ 1 x))>
#<alt (/ z (* x (- (+ 1 y) z)))>
#<alt (/ z (* x (- (+ 1 y) z)))>
#<alt (/ z (* x (- (+ 1 y) z)))>
#<alt (/ z (* x (- (+ 1 y) z)))>
#<alt (/ z (* x (- (+ 1 y) z)))>
#<alt (/ z (* x (- (+ 1 y) z)))>
#<alt (/ z (* x (- (+ 1 y) z)))>
#<alt (/ z (* x (- (+ 1 y) z)))>
#<alt (/ z (* x (- (+ 1 y) z)))>
#<alt (/ z (* x (- (+ 1 y) z)))>
#<alt (/ z (* x (- (+ 1 y) z)))>
#<alt (/ z (* x (- (+ 1 y) z)))>
#<alt (/ z (* x (- 1 z)))>
#<alt (+ (* -1 (/ (* y z) (* x (pow (- 1 z) 2)))) (/ z (* x (- 1 z))))>
#<alt (+ (* y (- (/ (* y z) (* x (pow (- 1 z) 3))) (/ z (* x (pow (- 1 z) 2))))) (/ z (* x (- 1 z))))>
#<alt (+ (* y (- (* y (- (* -1 (/ (* y z) (* x (pow (- 1 z) 4)))) (* -1 (/ z (* x (pow (- 1 z) 3)))))) (/ z (* x (pow (- 1 z) 2))))) (/ z (* x (- 1 z))))>
#<alt (/ z (* x y))>
#<alt (/ (+ (* -1 (/ (* z (- 1 z)) (* x y))) (/ z x)) y)>
#<alt (/ (- (+ (/ z x) (/ (* z (pow (- 1 z) 2)) (* x (pow y 2)))) (/ (* z (- 1 z)) (* x y))) y)>
#<alt (/ (- (+ (* -1 (/ (* z (pow (- 1 z) 3)) (* x (pow y 3)))) (/ z x)) (+ (* -1 (/ (* z (pow (- 1 z) 2)) (* x (pow y 2)))) (/ (* z (- 1 z)) (* x y)))) y)>
#<alt (/ z (* x y))>
#<alt (* -1 (/ (+ (* -1 (/ z x)) (/ (* z (- 1 z)) (* x y))) y))>
#<alt (* -1 (/ (+ (* -1 (/ z x)) (* -1 (/ (- (/ (* z (pow (- 1 z) 2)) (* x y)) (/ (* z (- 1 z)) x)) y))) y))>
#<alt (* -1 (/ (+ (* -1 (/ z x)) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- 1 z) 3)) (* x y)) (/ (* z (pow (- 1 z) 2)) x)) y)) (/ (* z (- 1 z)) x)) y))) y))>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (/ z x)>
#<alt (- 1 z)>
#<alt (- (+ 1 y) z)>
#<alt (- (+ 1 y) z)>
#<alt (- (+ 1 y) z)>
#<alt y>
#<alt (* y (- (+ 1 (/ 1 y)) (/ z y)))>
#<alt (* y (- (+ 1 (/ 1 y)) (/ z y)))>
#<alt (* y (- (+ 1 (/ 1 y)) (/ z y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))>
#<alt (+ 1 y)>
#<alt (+ 1 (+ y (* -1 z)))>
#<alt (+ 1 (+ y (* -1 z)))>
#<alt (+ 1 (+ y (* -1 z)))>
#<alt (* -1 z)>
#<alt (* z (- (+ (/ 1 z) (/ y z)) 1))>
#<alt (* z (- (+ (/ 1 z) (/ y z)) 1))>
#<alt (* z (- (+ (/ 1 z) (/ y z)) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ 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 (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ x z)>
#<alt (/ (+ x (* -1 (* x z))) z)>
#<alt (/ (+ x (* -1 (* x z))) z)>
#<alt (/ (+ x (* -1 (* x z))) z)>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (/ x z))>
#<alt (+ (* -1 x) (/ x z))>
#<alt (+ (* -1 x) (/ x z))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (/ x z))>
#<alt (+ (* -1 x) (/ x z))>
#<alt (+ (* -1 x) (/ x z))>
#<alt (/ (* x (- 1 z)) z)>
#<alt (/ (* x (- 1 z)) z)>
#<alt (/ (* x (- 1 z)) z)>
#<alt (/ (* x (- 1 z)) z)>
#<alt (/ (* x (- 1 z)) z)>
#<alt (/ (* x (- 1 z)) z)>
#<alt (/ (* x (- 1 z)) z)>
#<alt (/ (* x (- 1 z)) z)>
#<alt (/ (* x (- 1 z)) z)>
#<alt (/ (* x (- 1 z)) z)>
#<alt (/ (* x (- 1 z)) z)>
#<alt (/ (* x (- 1 z)) z)>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (* -1 z)>
#<alt (- y z)>
#<alt (- y z)>
#<alt (- y z)>
#<alt y>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt (* y (+ 1 (* -1 (/ z y))))>
#<alt y>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt (* -1 (* y (- (/ z y) 1)))>
#<alt y>
#<alt (+ y (* -1 z))>
#<alt (+ y (* -1 z))>
#<alt (+ y (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ y z) 1))>
#<alt (* z (- (/ y z) 1))>
#<alt (* z (- (/ y z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ 1 (* -1 (/ y z)))))>
Calls

84 calls:

TimeVariablePointExpression
4.0ms
x
@0
(* (- 1 z) (/ x z))
1.0ms
x
@0
(* x (/ y z))
0.0ms
z
@0
(* x (/ y z))
0.0ms
z
@inf
(* x (/ y z))
0.0ms
z
@-inf
(* (- 1 z) (/ x z))

rewrite322.0ms (3.7%)

Algorithm
batch-egg-rewrite
Rules
4752×*-lowering-*.f32
4752×*-lowering-*.f64
3824×/-lowering-/.f32
3824×/-lowering-/.f64
1994×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01760
110660
289560
0864960
Stop Event
iter limit
node limit
Counts
13 → 931
Calls
Call 1
Inputs
(/ 1 (/ (/ z x) (+ (- y z) 1)))
(/ (/ z x) (+ (- y z) 1))
(/ z x)
(+ (- y z) 1)
(neg x)
(* x (/ y z))
(/ y z)
(/ x (/ z y))
(/ z y)
(* (- 1 z) (/ x z))
(- 1 z)
(/ x z)
(- y z)
Outputs
(+.f64 (/.f64 y (/.f64 z x)) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) z))
(+.f64 (/.f64 x z) (*.f64 (/.f64 x z) (-.f64 y z)))
(+.f64 (/.f64 x z) (/.f64 (-.f64 y z) (/.f64 z x)))
(+.f64 (/.f64 x z) (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) (-.f64 y z))))
(+.f64 (/.f64 x z) (*.f64 (/.f64 (-.f64 y z) (/.f64 z x)) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 x z) (-.f64 y z)) (/.f64 x z))
(+.f64 (/.f64 (-.f64 y z) (/.f64 z x)) (/.f64 x z))
(+.f64 (*.f64 (/.f64 x z) (+.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) z))
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) (-.f64 #s(literal 0 binary64) (-.f64 y z))) (/.f64 x z))
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) z) #s(literal 0 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 y z)) (/.f64 z x)))
(+.f64 (*.f64 (/.f64 (-.f64 y z) (/.f64 z x)) #s(literal 1 binary64)) (/.f64 x z))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 x z)) (/.f64 z (-.f64 #s(literal 0 binary64) (/.f64 z x))))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) z)) (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) z)))
(exp.f64 (*.f64 (log.f64 (/.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) (-.f64 y z))))) #s(literal -1 binary64)))
(-.f64 (/.f64 y (/.f64 z x)) (/.f64 (+.f64 z #s(literal -1 binary64)) (/.f64 z x)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) (/.f64 z x)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) (/.f64 (-.f64 y z) (/.f64 z x))))
(-.f64 (/.f64 (-.f64 y z) (/.f64 z x)) (/.f64 x (-.f64 #s(literal 0 binary64) z)))
(-.f64 (/.f64 (/.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (+.f64 (-.f64 y z) #s(literal -1 binary64))) (/.f64 z x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 y z) #s(literal -1 binary64))) (/.f64 z x)))
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 z x)) (/.f64 z (/.f64 z x)))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 y z)))) (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) (/.f64 z x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 z x))) (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 y z)) (/.f64 z x)))
(-.f64 (/.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (*.f64 (/.f64 z x) (+.f64 (-.f64 y z) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z x) (+.f64 (-.f64 y z) #s(literal -1 binary64)))))
(-.f64 (/.f64 (/.f64 y (/.f64 z x)) #s(literal 1 binary64)) (/.f64 (/.f64 (+.f64 z #s(literal -1 binary64)) (/.f64 z x)) #s(literal 1 binary64)))
(-.f64 (+.f64 (/.f64 (-.f64 y z) (/.f64 z x)) #s(literal 0 binary64)) (/.f64 x (-.f64 #s(literal 0 binary64) z)))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (/.f64 (-.f64 y z) (/.f64 z x)))
(fma.f64 x (/.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 y z) (/.f64 z x)))
(fma.f64 (-.f64 y z) (/.f64 x z) (/.f64 x z))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) z) (/.f64 (-.f64 y z) (/.f64 z x)))
(fma.f64 (/.f64 x z) #s(literal 1 binary64) (*.f64 (/.f64 x z) (-.f64 y z)))
(fma.f64 (/.f64 x z) (-.f64 y z) (/.f64 x z))
(fma.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal 0 binary64) z)) (/.f64 (-.f64 y z) (/.f64 z x)))
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 y y) (+.f64 z y))) (*.f64 (/.f64 (*.f64 z z) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y)))) (+.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (+.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (-.f64 #s(literal 0 binary64) z) y))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (*.f64 z z))) (+.f64 z y))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y)))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 z y) (-.f64 #s(literal 0 binary64) (-.f64 y z)))) (-.f64 #s(literal 0 binary64) (+.f64 z y)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 y z))
(*.f64 (-.f64 y z) #s(literal 1 binary64))
(*.f64 (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y)))))
(*.f64 (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 (-.f64 #s(literal 0 binary64) z) y)))))
(*.f64 (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y)))) #s(literal 1 binary64)))
(*.f64 (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y))) (*.f64 (-.f64 y z) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y))))))
(*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 z y)))
(*.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 z y)) #s(literal 1 binary64)))
(*.f64 (+.f64 z y) (*.f64 (-.f64 y z) (/.f64 #s(literal 1 binary64) (+.f64 z y))))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y))))))
(*.f64 (*.f64 (+.f64 z y) (-.f64 #s(literal 0 binary64) (-.f64 y z))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 z y))))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (*.f64 z (+.f64 z y)))))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 z y)))

simplify319.0ms (3.7%)

Algorithm
egg-herbie
Rules
4562×*-lowering-*.f32
4562×*-lowering-*.f64
2590×+-lowering-+.f64
2590×+-lowering-+.f32
1410×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02222183
17402013
225741933
083241933
Stop Event
iter limit
node limit
Counts
336 → 336
Calls
Call 1
Inputs
(/ (* x (+ 1 y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(* -1 x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- (+ 1 y) z)) z)
(/ (* x (- 1 z)) z)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(/ (* x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(/ z (* x (+ 1 y)))
(* z (+ (/ 1 (* x (+ 1 y))) (/ z (* x (pow (+ 1 y) 2)))))
(* z (+ (* z (+ (/ 1 (* x (pow (+ 1 y) 2))) (/ z (* x (pow (+ 1 y) 3))))) (/ 1 (* x (+ 1 y)))))
(* z (+ (* z (+ (* z (+ (/ 1 (* x (pow (+ 1 y) 3))) (/ z (* x (pow (+ 1 y) 4))))) (/ 1 (* x (pow (+ 1 y) 2))))) (/ 1 (* x (+ 1 y)))))
(/ -1 x)
(- (* -1 (/ (+ (/ 1 x) (/ y x)) z)) (/ 1 x))
(- (* -1 (/ (* (+ 1 y) (+ (/ 1 x) (/ y x))) (pow z 2))) (+ (/ 1 x) (+ (/ 1 (* x z)) (/ y (* x z)))))
(- (* -1 (/ (* (pow (+ 1 y) 2) (+ (/ 1 x) (/ y x))) (pow z 3))) (+ (/ 1 x) (+ (/ 1 (* x z)) (+ (/ y (* x z)) (/ (* (+ 1 y) (+ (/ 1 x) (/ y x))) (pow z 2))))))
(/ -1 x)
(- (* -1 (/ (+ 1 y) (* x z))) (/ 1 x))
(- (* -1 (/ (- (/ (pow (+ 1 y) 2) (* x z)) (* -1 (/ (+ 1 y) x))) z)) (/ 1 x))
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 1 y) 3) (* x z))) (/ (pow (+ 1 y) 2) x)) z)) (* -1 (/ (+ 1 y) x))) z)) (/ 1 x))
(/ z (* x (- (+ 1 y) z)))
(/ z (* x (- (+ 1 y) z)))
(/ z (* x (- (+ 1 y) z)))
(/ z (* x (- (+ 1 y) z)))
(/ z (* x (- (+ 1 y) z)))
(/ z (* x (- (+ 1 y) z)))
(/ z (* x (- (+ 1 y) z)))
(/ z (* x (- (+ 1 y) z)))
(/ z (* x (- (+ 1 y) z)))
(/ z (* x (- (+ 1 y) z)))
(/ z (* x (- (+ 1 y) z)))
(/ z (* x (- (+ 1 y) z)))
(/ z (* x (- 1 z)))
(+ (* -1 (/ (* y z) (* x (pow (- 1 z) 2)))) (/ z (* x (- 1 z))))
(+ (* y (- (/ (* y z) (* x (pow (- 1 z) 3))) (/ z (* x (pow (- 1 z) 2))))) (/ z (* x (- 1 z))))
(+ (* y (- (* y (- (* -1 (/ (* y z) (* x (pow (- 1 z) 4)))) (* -1 (/ z (* x (pow (- 1 z) 3)))))) (/ z (* x (pow (- 1 z) 2))))) (/ z (* x (- 1 z))))
(/ z (* x y))
(/ (+ (* -1 (/ (* z (- 1 z)) (* x y))) (/ z x)) y)
(/ (- (+ (/ z x) (/ (* z (pow (- 1 z) 2)) (* x (pow y 2)))) (/ (* z (- 1 z)) (* x y))) y)
(/ (- (+ (* -1 (/ (* z (pow (- 1 z) 3)) (* x (pow y 3)))) (/ z x)) (+ (* -1 (/ (* z (pow (- 1 z) 2)) (* x (pow y 2)))) (/ (* z (- 1 z)) (* x y)))) y)
(/ z (* x y))
(* -1 (/ (+ (* -1 (/ z x)) (/ (* z (- 1 z)) (* x y))) y))
(* -1 (/ (+ (* -1 (/ z x)) (* -1 (/ (- (/ (* z (pow (- 1 z) 2)) (* x y)) (/ (* z (- 1 z)) x)) y))) y))
(* -1 (/ (+ (* -1 (/ z x)) (* -1 (/ (- (* -1 (/ (- (/ (* z (pow (- 1 z) 3)) (* x y)) (/ (* z (pow (- 1 z) 2)) x)) y)) (/ (* z (- 1 z)) x)) y))) 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)
(- 1 z)
(- (+ 1 y) z)
(- (+ 1 y) z)
(- (+ 1 y) z)
y
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(* y (- (+ 1 (/ 1 y)) (/ z y)))
y
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(+ 1 y)
(+ 1 (+ y (* -1 z)))
(+ 1 (+ y (* -1 z)))
(+ 1 (+ y (* -1 z)))
(* -1 z)
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* z (- (+ (/ 1 z) (/ y z)) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (* 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)
(/ 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)
(/ x z)
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* -1 (* x z))) z)
(* -1 x)
(+ (* -1 x) (/ x z))
(+ (* -1 x) (/ x z))
(+ (* -1 x) (/ x z))
(* -1 x)
(+ (* -1 x) (/ x z))
(+ (* -1 x) (/ x z))
(+ (* -1 x) (/ x z))
(/ (* x (- 1 z)) z)
(/ (* x (- 1 z)) z)
(/ (* x (- 1 z)) z)
(/ (* x (- 1 z)) z)
(/ (* x (- 1 z)) z)
(/ (* x (- 1 z)) z)
(/ (* x (- 1 z)) z)
(/ (* x (- 1 z)) z)
(/ (* x (- 1 z)) z)
(/ (* x (- 1 z)) z)
(/ (* x (- 1 z)) z)
(/ (* x (- 1 z)) z)
1
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(* -1 z)
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* -1 z)
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(/ x z)
(/ 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)
(* -1 z)
(- y z)
(- y z)
(- y z)
y
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
(* y (+ 1 (* -1 (/ z y))))
y
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
(* -1 (* y (- (/ z y) 1)))
y
(+ y (* -1 z))
(+ y (* -1 z))
(+ y (* -1 z))
(* -1 z)
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* z (- (/ y z) 1))
(* -1 z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
Outputs
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal -1 binary64)))
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal -1 binary64)))
(/ (+ (* -1 (* x z)) (* x (+ 1 y))) z)
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal -1 binary64)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal -1 binary64)))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal -1 binary64)))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal -1 binary64)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal -1 binary64)))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal -1 binary64)))
(+ (* -1 x) (/ (* x (+ 1 y)) z))
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal -1 binary64)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal -1 binary64)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal -1 binary64)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal -1 binary64)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal -1 binary64)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal -1 binary64)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal -1 binary64)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal -1 binary64)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal -1 binary64)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal -1 binary64)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal -1 binary64)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal -1 binary64)))
(/ (* x (- (+ 1 y) z)) z)
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal -1 binary64)))
(/ (* x (- 1 z)) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal -1 binary64)))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal -1 binary64)))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(*.f64 x (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) z) #s(literal -1 binary64)))
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) (/.f64 x z)))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) (/.f64 x z)))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) (/.f64 x z)))
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) (/.f64 x z)))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) (/.f64 x z)))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) y)) (/.f64 x z)))
(/ z (* x (+ 1 y)))
(/.f64 z (*.f64 x (+.f64 #s(literal 1 binary64) y)))
(* z (+ (/ 1 (* x (+ 1 y))) (/ z (* x (pow (+ 1 y) 2)))))
(*.f64 z (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) y))) (/.f64 (/.f64 z x) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))
(* z (+ (* z (+ (/ 1 (* x (pow (+ 1 y) 2))) (/ z (* x (pow (+ 1 y) 3))))) (/ 1 (* x (+ 1 y)))))
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(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)))
(/ (* x (- 1 z)) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)))
(/ (* x (- 1 z)) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)))
(/ (* x (- 1 z)) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)))
(/ (* x (- 1 z)) z)
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)))
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(- y z)
(-.f64 y z)
(- y z)
(-.f64 y z)
(- y z)
(-.f64 y z)
y
(* y (+ 1 (* -1 (/ z y))))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* y (+ 1 (* -1 (/ z y))))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* y (+ 1 (* -1 (/ z y))))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y)))
y
(* -1 (* y (- (/ z y) 1)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* -1 (* y (- (/ z y) 1)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y)))
(* -1 (* y (- (/ z y) 1)))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 z y)))
y
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y z)
(+ y (* -1 z))
(-.f64 y z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (/ y z) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(* z (- (/ y z) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(* z (- (/ y z) 1))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y z)))
(* -1 (* z (+ 1 (* -1 (/ y z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 y z)))

eval190.0ms (2.2%)

Compiler

Compiled 19795 to 2524 computations (87.2% saved)

prune135.0ms (1.6%)

Pruning

14 alts after pruning (7 fresh and 7 done)

PrunedKeptTotal
New126431267
Fresh246
Picked145
Done033
Total1267141281
Accuracy
100.0%
Counts
1281 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.8%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) z)) x))
54.6%
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) z)
64.8%
(/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) z)
39.0%
(/.f64 (*.f64 x y) z)
36.9%
(/.f64 x (/.f64 z y))
33.5%
(/.f64 x z)
63.9%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (+.f64 y #s(literal 1 binary64))))
66.4%
(-.f64 (/.f64 x z) x)
40.5%
(*.f64 (/.f64 x z) y)
64.7%
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (+.f64 y #s(literal 1 binary64))))
60.6%
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x z))
36.5%
(*.f64 x (/.f64 y z))
95.8%
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) z)))
35.8%
(neg.f64 x)
Compiler

Compiled 205 to 135 computations (34.1% saved)

simplify138.0ms (1.6%)

Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff0
(*.f64 x (-.f64 #s(literal 1 binary64) z))
cost-diff128
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) z)
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 (*.f64 x y) z)
cost-diff0
(/.f64 x z)
cost-diff0
(*.f64 (/.f64 x z) y)
cost-diff0
(/.f64 x z)
cost-diff0
(+.f64 y #s(literal 1 binary64))
cost-diff0
(*.f64 x (+.f64 y #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) z)
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (+.f64 y #s(literal 1 binary64))))
Rules
1642×*-lowering-*.f32
1642×*-lowering-*.f64
1538×/-lowering-/.f32
1538×/-lowering-/.f64
1208×fmsub-define
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01567
13964
29463
323162
437462
552761
6102861
7197861
8545061
0820761
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ 1 z) (* x (+ y 1)))
(/ 1 z)
1
z
(* x (+ y 1))
x
(+ y 1)
y
(/ x z)
x
z
(* (/ x z) y)
(/ x z)
x
z
y
(/ (* x y) z)
(* x y)
x
y
z
(/ (* x (- 1 z)) z)
(* x (- 1 z))
x
(- 1 z)
1
z
Outputs
(* (/ 1 z) (* x (+ y 1)))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
z
(* x (+ y 1))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
x
(+ y 1)
(+.f64 #s(literal 1 binary64) y)
y
(/ x z)
(/.f64 x z)
x
z
(* (/ x z) y)
(/.f64 (*.f64 x y) z)
(/ x z)
(/.f64 x z)
x
z
y
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* x y)
(*.f64 x y)
x
y
z
(/ (* x (- 1 z)) z)
(-.f64 (/.f64 x z) x)
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
x
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
z

localize131.0ms (1.5%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 1 binary64) z)
accuracy100.0%
(*.f64 x (-.f64 #s(literal 1 binary64) z))
accuracy85.7%
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) z)
accuracy100.0%
(*.f64 x y)
accuracy94.7%
(/.f64 (*.f64 x y) z)
accuracy100.0%
(/.f64 x z)
accuracy94.5%
(*.f64 (/.f64 x z) y)
accuracy100.0%
(/.f64 x z)
accuracy100.0%
(/.f64 #s(literal 1 binary64) z)
accuracy100.0%
(+.f64 y #s(literal 1 binary64))
accuracy100.0%
(*.f64 x (+.f64 y #s(literal 1 binary64)))
accuracy96.8%
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (+.f64 y #s(literal 1 binary64))))
Results
112.0ms256×0valid
Compiler

Compiled 73 to 16 computations (78.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-mult: 45.0ms (80.1% of total)
ival-div: 8.0ms (14.2% of total)
ival-sub: 1.0ms (1.8% of total)
ival-add: 1.0ms (1.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series7.0ms (0.1%)

Counts
11 → 264
Calls
Call 1
Inputs
#<alt (* (/ 1 z) (* x (+ y 1)))>
#<alt (/ 1 z)>
#<alt (* x (+ y 1))>
#<alt (+ y 1)>
#<alt (/ x z)>
#<alt (* (/ x z) y)>
#<alt (/ (* x y) z)>
#<alt (* x y)>
#<alt (/ (* x (- 1 z)) z)>
#<alt (* x (- 1 z))>
#<alt (- 1 z)>
Outputs
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ (* x (+ 1 y)) z)>
#<alt (/ x z)>
#<alt (+ (/ x z) (/ (* x y) z))>
#<alt (+ (/ x z) (/ (* x y) z))>
#<alt (+ (/ x z) (/ (* x y) z))>
#<alt (/ (* x y) z)>
#<alt (* y (+ (/ x z) (/ x (* y z))))>
#<alt (* y (+ (/ x z) (/ x (* y z))))>
#<alt (* y (+ (/ x z) (/ x (* y z))))>
#<alt (/ (* x y) z)>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ x (* y z))))))>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ x (* y z))))))>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ x (* y 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 z)>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt (* x (+ 1 y))>
#<alt x>
#<alt (+ x (* x y))>
#<alt (+ x (* x y))>
#<alt (+ x (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (/ x y)))>
#<alt (* y (+ x (/ x y)))>
#<alt (* y (+ x (/ x y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))>
#<alt 1>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt (+ 1 y)>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt y>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<alt (* y (+ 1 (/ 1 y)))>
#<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 y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) 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 (- 1 z)) z)>
#<alt (/ (* x (- 1 z)) z)>
#<alt (/ (* x (- 1 z)) z)>
#<alt (/ (* x (- 1 z)) z)>
#<alt (/ (* x (- 1 z)) z)>
#<alt (/ (* x (- 1 z)) z)>
#<alt (/ (* x (- 1 z)) z)>
#<alt (/ (* x (- 1 z)) z)>
#<alt (/ (* x (- 1 z)) z)>
#<alt (/ (* x (- 1 z)) z)>
#<alt (/ (* x (- 1 z)) z)>
#<alt (/ (* x (- 1 z)) z)>
#<alt (/ x z)>
#<alt (/ (+ x (* -1 (* x z))) z)>
#<alt (/ (+ x (* -1 (* x z))) z)>
#<alt (/ (+ x (* -1 (* x z))) z)>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (/ x z))>
#<alt (+ (* -1 x) (/ x z))>
#<alt (+ (* -1 x) (/ x z))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (/ x z))>
#<alt (+ (* -1 x) (/ x z))>
#<alt (+ (* -1 x) (/ x z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt (* x (- 1 z))>
#<alt x>
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (* -1 (* x z)))>
#<alt (+ x (* -1 (* x z)))>
#<alt (* -1 (* x z))>
#<alt (* z (+ (* -1 x) (/ x z)))>
#<alt (* z (+ (* -1 x) (/ x z)))>
#<alt (* z (+ (* -1 x) (/ x z)))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* z (+ x (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ x (* -1 (/ x z)))))>
#<alt (* -1 (* z (+ x (* -1 (/ x z)))))>
#<alt 1>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (+ 1 (* -1 z))>
#<alt (* -1 z)>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* z (- (/ 1 z) 1))>
#<alt (* -1 z)>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
#<alt (* -1 (* z (- 1 (/ 1 z))))>
Calls

66 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(* x (- 1 z))
0.0ms
x
@-inf
(* x y)
0.0ms
x
@-inf
(* x (- 1 z))
0.0ms
z
@-inf
(/ 1 z)
0.0ms
y
@-inf
(* x y)

rewrite289.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
2710×*-lowering-*.f32
2710×*-lowering-*.f64
2606×fma-lowering-fma.f32
2606×fma-lowering-fma.f64
2396×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01549
18446
253045
3554444
0822244
Stop Event
iter limit
node limit
Counts
11 → 758
Calls
Call 1
Inputs
(* (/ 1 z) (* x (+ y 1)))
(/ 1 z)
(* x (+ y 1))
(+ y 1)
(/ x z)
(* (/ x z) y)
(/ (* x y) z)
(* x y)
(/ (* x (- 1 z)) z)
(* x (- 1 z))
(- 1 z)
Outputs
(+.f64 (/.f64 x z) (/.f64 x (/.f64 z y)))
(+.f64 (/.f64 x (/.f64 z y)) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) z))
(-.f64 (/.f64 x z) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 x y)))
(-.f64 (/.f64 x z) (*.f64 (/.f64 x (-.f64 #s(literal 0 binary64) z)) y))
(-.f64 (/.f64 x z) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) z)))
(-.f64 (/.f64 x z) (/.f64 #s(literal -1 binary64) (/.f64 z (*.f64 x y))))
(-.f64 (/.f64 x (/.f64 z y)) (/.f64 x (-.f64 #s(literal 0 binary64) z)))
(-.f64 (/.f64 x (/.f64 z y)) (*.f64 (/.f64 #s(literal -1 binary64) z) x))
(-.f64 (/.f64 x (/.f64 z y)) (/.f64 #s(literal -1 binary64) (/.f64 z x)))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (/.f64 x (/.f64 z y)))
(fma.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z y)) (/.f64 x z))
(fma.f64 (/.f64 #s(literal 1 binary64) z) x (/.f64 x (/.f64 z y)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y) (/.f64 x z))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x (/.f64 z y)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) #s(literal -1 binary64)) (/.f64 x z))
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(fma.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (/.f64 #s(literal 1 binary64) x)) (/.f64 x z))
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(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z))) (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) (*.f64 z z))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z))) (*.f64 z (*.f64 z z)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z))) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 z z))) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))))) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (+.f64 #s(literal 1 binary64) z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal 1 binary64) z)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z))) (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) z))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z))))) (+.f64 (*.f64 (/.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z)))) (/.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z)))) (/.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 z (/.f64 z (+.f64 #s(literal 1 binary64) z))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (*.f64 z (/.f64 z (+.f64 #s(literal 1 binary64) z))) (*.f64 z (/.f64 z (+.f64 #s(literal 1 binary64) z)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z (+.f64 #s(literal 1 binary64) z)))))))
(/.f64 (-.f64 (*.f64 z z) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z))))) (*.f64 (/.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z)))) (/.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z)))) (/.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z))) (*.f64 (*.f64 z (/.f64 z (+.f64 #s(literal 1 binary64) z))) (*.f64 z (/.f64 z (+.f64 #s(literal 1 binary64) z))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (*.f64 z (/.f64 z (+.f64 #s(literal 1 binary64) z)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z))))) (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z))) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z))))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) z))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z)))) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) z)) (*.f64 z (+.f64 #s(literal 1 binary64) z)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) z)) (-.f64 (*.f64 z (+.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (+.f64 #s(literal 1 binary64) z)) (*.f64 z (+.f64 #s(literal 1 binary64) z))))) (-.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal -1 binary64)))))

simplify208.0ms (2.4%)

Algorithm
egg-herbie
Rules
2202×*-lowering-*.f32
2202×*-lowering-*.f64
1568×fnmadd-define
1060×fma-define
970×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0531214
11741118
24781097
312861097
458001097
083161097
Stop Event
iter limit
node limit
Counts
264 → 264
Calls
Call 1
Inputs
(/ (* 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)
(/ (* 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)
(/ (* 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)
(/ x z)
(+ (/ x z) (/ (* x y) z))
(+ (/ x z) (/ (* x y) z))
(+ (/ x z) (/ (* x y) z))
(/ (* x y) z)
(* y (+ (/ x z) (/ x (* y z))))
(* y (+ (/ x z) (/ x (* y z))))
(* y (+ (/ x z) (/ x (* y z))))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ x (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ x (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ x (* y z))))))
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(/ 1 z)
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
(* x (+ 1 y))
x
(+ x (* x y))
(+ x (* x y))
(+ x (* x y))
(* x y)
(* y (+ x (/ x y)))
(* y (+ x (/ x y)))
(* y (+ x (/ x y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
1
(+ 1 y)
(+ 1 y)
(+ 1 y)
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
y
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(* y (+ 1 (/ 1 y)))
(/ 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 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 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 (- 1 z)) z)
(/ (* x (- 1 z)) z)
(/ (* x (- 1 z)) z)
(/ (* x (- 1 z)) z)
(/ (* x (- 1 z)) z)
(/ (* x (- 1 z)) z)
(/ (* x (- 1 z)) z)
(/ (* x (- 1 z)) z)
(/ (* x (- 1 z)) z)
(/ (* x (- 1 z)) z)
(/ (* x (- 1 z)) z)
(/ (* x (- 1 z)) z)
(/ x z)
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* -1 (* x z))) z)
(* -1 x)
(+ (* -1 x) (/ x z))
(+ (* -1 x) (/ x z))
(+ (* -1 x) (/ x z))
(* -1 x)
(+ (* -1 x) (/ x z))
(+ (* -1 x) (/ x z))
(+ (* -1 x) (/ x z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
(* x (- 1 z))
x
(+ x (* -1 (* x z)))
(+ x (* -1 (* x z)))
(+ x (* -1 (* x z)))
(* -1 (* x z))
(* z (+ (* -1 x) (/ x z)))
(* z (+ (* -1 x) (/ x z)))
(* z (+ (* -1 x) (/ x z)))
(* -1 (* x z))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (+ x (* -1 (/ x z)))))
1
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(+ 1 (* -1 z))
(* -1 z)
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* z (- (/ 1 z) 1))
(* -1 z)
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (- 1 (/ 1 z))))
Outputs
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x (+ 1 y)) z)
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ x z)
(/.f64 x z)
(+ (/ x z) (/ (* x y) z))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(+ (/ x z) (/ (* x y) z))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(+ (/ x z) (/ (* x y) z))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* y (+ (/ x z) (/ x (* y z))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(* y (+ (/ x z) (/ x (* y z))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(* y (+ (/ x z) (/ x (* y z))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ x (* y z))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ x (* y z))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ x (* y z))))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) y)) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(* x (+ 1 y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(* x (+ 1 y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(* x (+ 1 y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(* x (+ 1 y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(* x (+ 1 y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(* x (+ 1 y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(* x (+ 1 y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(* x (+ 1 y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(* x (+ 1 y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(* x (+ 1 y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(* x (+ 1 y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(* x (+ 1 y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
x
(+ x (* x y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(+ x (* x y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(+ x (* x y))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(* x y)
(*.f64 x y)
(* y (+ x (/ x y)))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(* y (+ x (/ x y)))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(* y (+ x (/ x y)))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 y)
(+.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
(* 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)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(/ (* x (- 1 z)) z)
(-.f64 (/.f64 x z) x)
(/ (* x (- 1 z)) z)
(-.f64 (/.f64 x z) x)
(/ (* x (- 1 z)) z)
(-.f64 (/.f64 x z) x)
(/ (* x (- 1 z)) z)
(-.f64 (/.f64 x z) x)
(/ (* x (- 1 z)) z)
(-.f64 (/.f64 x z) x)
(/ (* x (- 1 z)) z)
(-.f64 (/.f64 x z) x)
(/ (* x (- 1 z)) z)
(-.f64 (/.f64 x z) x)
(/ (* x (- 1 z)) z)
(-.f64 (/.f64 x z) x)
(/ (* x (- 1 z)) z)
(-.f64 (/.f64 x z) x)
(/ (* x (- 1 z)) z)
(-.f64 (/.f64 x z) x)
(/ (* x (- 1 z)) z)
(-.f64 (/.f64 x z) x)
(/ (* x (- 1 z)) z)
(-.f64 (/.f64 x z) x)
(/ x z)
(/.f64 x z)
(/ (+ x (* -1 (* x z))) z)
(-.f64 (/.f64 x z) x)
(/ (+ x (* -1 (* x z))) z)
(-.f64 (/.f64 x z) x)
(/ (+ x (* -1 (* x z))) z)
(-.f64 (/.f64 x z) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(+ (* -1 x) (/ x z))
(-.f64 (/.f64 x z) x)
(+ (* -1 x) (/ x z))
(-.f64 (/.f64 x z) x)
(+ (* -1 x) (/ x z))
(-.f64 (/.f64 x z) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(+ (* -1 x) (/ x z))
(-.f64 (/.f64 x z) x)
(+ (* -1 x) (/ x z))
(-.f64 (/.f64 x z) x)
(+ (* -1 x) (/ x z))
(-.f64 (/.f64 x z) x)
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* x (- 1 z))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
x
(+ x (* -1 (* x z)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+ x (* -1 (* x z)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(+ x (* -1 (* x z)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(* z (+ (* -1 x) (/ x z)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* z (+ (* -1 x) (/ x z)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* z (+ (* -1 x) (/ x z)))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(* -1 (* z (+ x (* -1 (/ x z)))))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* -1 (* z (+ x (* -1 (/ x z)))))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
(* -1 (* z (+ x (* -1 (/ x z)))))
(*.f64 x (-.f64 #s(literal 1 binary64) z))
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)

eval135.0ms (1.6%)

Compiler

Compiled 14020 to 1800 computations (87.2% saved)

prune133.0ms (1.5%)

Pruning

15 alts after pruning (3 fresh and 12 done)

PrunedKeptTotal
New107611077
Fresh022
Picked055
Done077
Total1076151091
Accuracy
100.0%
Counts
1091 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.8%
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) z)) x))
54.6%
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) z)
64.8%
(/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) z)
39.0%
(/.f64 (*.f64 x y) z)
36.9%
(/.f64 x (/.f64 z y))
33.5%
(/.f64 x z)
63.9%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (+.f64 y #s(literal 1 binary64))))
33.4%
(/.f64 #s(literal 1 binary64) (/.f64 z x))
66.4%
(-.f64 (/.f64 x z) x)
40.5%
(*.f64 (/.f64 x z) y)
64.7%
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (+.f64 y #s(literal 1 binary64))))
60.6%
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x z))
36.5%
(*.f64 x (/.f64 y z))
95.8%
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) z)))
35.8%
(neg.f64 x)
Compiler

Compiled 314 to 154 computations (51% saved)

regimes30.0ms (0.3%)

Counts
23 → 2
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(/.f64 x z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 x z) y)
(-.f64 (/.f64 x z) x)
(/.f64 #s(literal 1 binary64) (/.f64 z x))
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 x y) z)
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x z))
(/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) z)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) z)
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) z)))
(*.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (+.f64 y #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (+.f64 y #s(literal 1 binary64))))
(/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64))))
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
(*.f64 x (-.f64 #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (+.f64 (-.f64 y z) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) z)) x))
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 z y)) z) (*.f64 z (/.f64 z y)))))
Outputs
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
(/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64))))
Calls

4 calls:

8.0ms
x
8.0ms
z
7.0ms
y
6.0ms
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Results
AccuracySegmentsBranch
99.9%2x
96.3%1y
99.9%3z
99.2%2(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes13.0ms (0.2%)

Counts
18 → 3
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(/.f64 x z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 x z) y)
(-.f64 (/.f64 x z) x)
(/.f64 #s(literal 1 binary64) (/.f64 z x))
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 x y) z)
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x z))
(/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) z)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) z)
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) z)))
(*.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) (/.f64 x z))
(*.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x (+.f64 y #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (+.f64 y #s(literal 1 binary64))))
(/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64))))
Outputs
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) z)))
(/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) z)
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) z)))
Calls

2 calls:

6.0ms
z
6.0ms
x
Results
AccuracySegmentsBranch
99.9%3z
96.3%1x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes21.0ms (0.2%)

Counts
13 → 3
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(/.f64 x z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 x z) y)
(-.f64 (/.f64 x z) x)
(/.f64 #s(literal 1 binary64) (/.f64 z x))
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 x y) z)
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x z))
(/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) z)
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) z)) z)
Outputs
(neg.f64 x)
(/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) z)
(-.f64 (/.f64 x z) x)
Calls

3 calls:

11.0ms
y
5.0ms
x
4.0ms
z
Results
AccuracySegmentsBranch
72.4%2x
87.6%3y
89.3%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes12.0ms (0.1%)

Counts
11 → 3
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(/.f64 x z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 x z) y)
(-.f64 (/.f64 x z) x)
(/.f64 #s(literal 1 binary64) (/.f64 z x))
(/.f64 x (/.f64 z y))
(/.f64 (*.f64 x y) z)
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x z))
Outputs
(/.f64 (*.f64 x y) z)
(-.f64 (/.f64 x z) x)
(*.f64 y (/.f64 x z))
Calls

2 calls:

8.0ms
y
4.0ms
z
Results
AccuracySegmentsBranch
87.3%3y
70.4%3z
Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0%)

Counts
9 → 3
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(/.f64 x z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 x z) y)
(-.f64 (/.f64 x z) x)
(/.f64 #s(literal 1 binary64) (/.f64 z x))
(/.f64 x (/.f64 z y))
Outputs
(*.f64 y (/.f64 x z))
(-.f64 (/.f64 x z) x)
(*.f64 y (/.f64 x z))
Calls

1 calls:

3.0ms
y
Results
AccuracySegmentsBranch
86.9%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes26.0ms (0.3%)

Counts
6 → 6
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(/.f64 x z)
(*.f64 x (/.f64 y z))
(*.f64 y (/.f64 x z))
(*.f64 (/.f64 x z) y)
Outputs
(neg.f64 x)
(*.f64 y (/.f64 x z))
(/.f64 x z)
(*.f64 y (/.f64 x z))
(/.f64 x z)
(neg.f64 x)
Calls

3 calls:

20.0ms
z
3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
72.1%6z
48.8%5x
66.9%5y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes3.0ms (0%)

Counts
4 → 4
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(/.f64 x z)
(*.f64 x (/.f64 y z))
Outputs
(neg.f64 x)
(*.f64 x (/.f64 y z))
(/.f64 x z)
(neg.f64 x)
Calls

1 calls:

2.0ms
z
Results
AccuracySegmentsBranch
67.7%4z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes2.0ms (0%)

Counts
3 → 3
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
(/.f64 x z)
Outputs
(neg.f64 x)
(/.f64 x z)
(neg.f64 x)
Calls

1 calls:

2.0ms
z
Results
AccuracySegmentsBranch
65.6%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
2 → 1
Calls
Call 1
Inputs
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)
Outputs
(neg.f64 x)
Calls

3 calls:

1.0ms
x
1.0ms
y
1.0ms
z
Results
AccuracySegmentsBranch
35.8%1x
35.8%1y
35.8%1z
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch11.0ms (0.1%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
10.0ms
134994785364677.66
1659228228032435.3
Results
5.0ms80×0valid
Compiler

Compiled 148 to 103 computations (30.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (46.3% of total)
ival-mult: 1.0ms (46.3% of total)
ival-sub: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
Steps
TimeLeftRight
12.0ms
3.8349751357654983e-101
1.4435343681342349e-99
6.0ms
-9.041607225656281e-20
-2.5863029474980332e-20
Results
13.0ms176×0valid
Compiler

Compiled 282 to 200 computations (29.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 1.0ms (20.5% of total)
ival-div: 1.0ms (20.5% of total)
ival-add: 1.0ms (20.5% of total)
ival-mult: 1.0ms (20.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
5.166426470173944
1094511.5313089862
13.0ms
-1.859040697811886e+24
-6.269542311611362e+20
Results
19.0ms272×0valid
Compiler

Compiled 334 to 243 computations (27.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 3.0ms (32% of total)
ival-sub: 2.0ms (21.3% of total)
ival-div: 2.0ms (21.3% of total)
ival-add: 1.0ms (10.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch33.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
17.0ms
40080739912099500.0
5.091044846240852e+28
13.0ms
-6830.826562820915
-0.15123907052131252
Results
18.0ms288×0valid
Compiler

Compiled 342 to 229 computations (33% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 2.0ms (25% of total)
ival-div: 2.0ms (25% of total)
ival-mult: 2.0ms (25% of total)
ival-add: 1.0ms (12.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch74.0ms (0.9%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
59.0ms
40080739912099500.0
5.091044846240852e+28
12.0ms
-6830.826562820915
-0.15123907052131252
Results
62.0ms288×0valid
Compiler

Compiled 342 to 229 computations (33% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 2.0ms (25.2% of total)
ival-div: 2.0ms (25.2% of total)
ival-mult: 2.0ms (25.2% of total)
ival-add: 1.0ms (12.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch109.0ms (1.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
13.0ms
5.166426470173944
1094511.5313089862
42.0ms
1.9387380782254006e-125
1.2508966230680096e-123
17.0ms
-6.874780860250644e-287
-1.7864632646550378e-306
19.0ms
-1.2332852005574986e-68
-9.70439031293606e-72
12.0ms
-1.859040697811886e+24
-6.269542311611362e+20
Results
74.0ms688×0valid
Compiler

Compiled 671 to 477 computations (28.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-div: 5.0ms (26.7% of total)
ival-mult: 5.0ms (26.7% of total)
ival-sub: 4.0ms (21.4% of total)
ival-add: 3.0ms (16% of total)
const: 1.0ms (5.3% of total)
backward-pass: 0.0ms (0% of total)

bsearch56.0ms (0.7%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
5.166426470173944
1094511.5313089862
26.0ms
-1.2332852005574986e-68
-9.70439031293606e-72
12.0ms
-1.859040697811886e+24
-6.269542311611362e+20
Results
40.0ms400×0valid
Compiler

Compiled 383 to 279 computations (27.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-sub: 16.0ms (64.5% of total)
ival-div: 3.0ms (12.1% of total)
ival-mult: 3.0ms (12.1% of total)
ival-add: 2.0ms (8.1% of total)
const: 1.0ms (4% of total)
backward-pass: 0.0ms (0% of total)

bsearch28.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
15.0ms
5.166426470173944
1094511.5313089862
11.0ms
-6.269542311611362e+20
-1.5616860046064265e+20
Results
17.0ms240×0valid
Compiler

Compiled 213 to 163 computations (23.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 3.0ms (36.9% of total)
ival-div: 2.0ms (24.6% of total)
ival-mult: 2.0ms (24.6% of total)
ival-add: 1.0ms (12.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify45.0ms (0.5%)

Algorithm
egg-herbie
Rules
236×distribute-lft-neg-in_binary64
182×unsub-neg_binary64
148×neg-mul-1_binary64
122×neg-sub0_binary64
96×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077191
1106191
2121191
3134191
4153191
5189191
6235191
7306191
8390191
9471191
10559191
11656191
12744191
13827191
14843191
15845191
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 200000000000000 binary64)) (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))))
(if (<=.f64 z #s(literal -6646139978924579/83076749736557242056487941267521536 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) z))) (if (<=.f64 z #s(literal 1748464024965005/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088 binary64)) (/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) z) (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) z)))))
(if (<=.f64 z #s(literal -650000000000000000000 binary64)) (neg.f64 x) (if (<=.f64 z #s(literal 3400 binary64)) (/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) z) (-.f64 (/.f64 x z) x)))
(if (<=.f64 y #s(literal -116 binary64)) (/.f64 (*.f64 x y) z) (if (<=.f64 y #s(literal 840000000000000000 binary64)) (-.f64 (/.f64 x z) x) (*.f64 y (/.f64 x z))))
(if (<=.f64 y #s(literal -6600 binary64)) (*.f64 y (/.f64 x z)) (if (<=.f64 y #s(literal 11499999999999999190734209024 binary64)) (-.f64 (/.f64 x z) x) (*.f64 y (/.f64 x z))))
(if (<=.f64 z #s(literal -4600000000000000000000 binary64)) (neg.f64 x) (if (<=.f64 z #s(literal -3691070895228885/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) (*.f64 y (/.f64 x z)) (if (<=.f64 z #s(literal -6635262925566485/12064114410120881697684249086315471354100504503497011563593230129923244688987454586741947156276531487416450850028801674329627080999958126358211839195533902044386710183415792069701368078118158360793576698212191168580174892152827542937880954483101341506291035205862448784848059094859987648259778470316291228729945882624 binary64)) (/.f64 x z) (if (<=.f64 z #s(literal 5477921803075243/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904 binary64)) (*.f64 y (/.f64 x z)) (if (<=.f64 z #s(literal 5854679515581645/1125899906842624 binary64)) (/.f64 x z) (neg.f64 x))))))
(if (<=.f64 z #s(literal -36000000000000000000000 binary64)) (neg.f64 x) (if (<=.f64 z #s(literal -6061126943744275/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (*.f64 x (/.f64 y z)) (if (<=.f64 z #s(literal 5854679515581645/1125899906842624 binary64)) (/.f64 x z) (neg.f64 x))))
(if (<=.f64 z #s(literal -160000000000000000000 binary64)) (neg.f64 x) (if (<=.f64 z #s(literal 5854679515581645/1125899906842624 binary64)) (/.f64 x z) (neg.f64 x)))
(neg.f64 x)
Outputs
(if (<=.f64 x #s(literal 200000000000000 binary64)) (/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z) (/.f64 x (/.f64 z (+.f64 (-.f64 y z) #s(literal 1 binary64)))))
(if (<=.f64 z #s(literal -6646139978924579/83076749736557242056487941267521536 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) z))) (if (<=.f64 z #s(literal 1748464024965005/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088 binary64)) (/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) z) (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) z)))))
(if (<=.f64 z #s(literal -6646139978924579/83076749736557242056487941267521536 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) z))) (if (<=.f64 z #s(literal 1748464024965005/1231312693637327475383720003129487931408741852202045208373384168882678805359287831606695820465153613775207124697088 binary64)) (/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) z) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) z)))))
(if (<=.f64 z #s(literal -650000000000000000000 binary64)) (neg.f64 x) (if (<=.f64 z #s(literal 3400 binary64)) (/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) z) (-.f64 (/.f64 x z) x)))
(if (<=.f64 z #s(literal -650000000000000000000 binary64)) (-.f64 #s(literal 0 binary64) x) (if (<=.f64 z #s(literal 3400 binary64)) (/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) z) (-.f64 (/.f64 x z) x)))
(if (<=.f64 y #s(literal -116 binary64)) (/.f64 (*.f64 x y) z) (if (<=.f64 y #s(literal 840000000000000000 binary64)) (-.f64 (/.f64 x z) x) (*.f64 y (/.f64 x z))))
(if (<=.f64 y #s(literal -6600 binary64)) (*.f64 y (/.f64 x z)) (if (<=.f64 y #s(literal 11499999999999999190734209024 binary64)) (-.f64 (/.f64 x z) x) (*.f64 y (/.f64 x z))))
(if (<=.f64 z #s(literal -4600000000000000000000 binary64)) (neg.f64 x) (if (<=.f64 z #s(literal -3691070895228885/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) (*.f64 y (/.f64 x z)) (if (<=.f64 z #s(literal -6635262925566485/12064114410120881697684249086315471354100504503497011563593230129923244688987454586741947156276531487416450850028801674329627080999958126358211839195533902044386710183415792069701368078118158360793576698212191168580174892152827542937880954483101341506291035205862448784848059094859987648259778470316291228729945882624 binary64)) (/.f64 x z) (if (<=.f64 z #s(literal 5477921803075243/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904 binary64)) (*.f64 y (/.f64 x z)) (if (<=.f64 z #s(literal 5854679515581645/1125899906842624 binary64)) (/.f64 x z) (neg.f64 x))))))
(if (<=.f64 z #s(literal -4600000000000000000000 binary64)) (-.f64 #s(literal 0 binary64) x) (if (<=.f64 z #s(literal -3691070895228885/3885337784451458141838923813647037813284813678104279042503624819477808570410416996352 binary64)) (*.f64 y (/.f64 x z)) (if (<=.f64 z #s(literal -6635262925566485/12064114410120881697684249086315471354100504503497011563593230129923244688987454586741947156276531487416450850028801674329627080999958126358211839195533902044386710183415792069701368078118158360793576698212191168580174892152827542937880954483101341506291035205862448784848059094859987648259778470316291228729945882624 binary64)) (/.f64 x z) (if (<=.f64 z #s(literal 5477921803075243/11908525658859223294760121268437066290850060053501019099651935423375594096449911575776314174894302258147533153997065059263030913083222523904 binary64)) (*.f64 y (/.f64 x z)) (if (<=.f64 z #s(literal 5854679515581645/1125899906842624 binary64)) (/.f64 x z) (-.f64 #s(literal 0 binary64) x))))))
(if (<=.f64 z #s(literal -36000000000000000000000 binary64)) (neg.f64 x) (if (<=.f64 z #s(literal -6061126943744275/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (*.f64 x (/.f64 y z)) (if (<=.f64 z #s(literal 5854679515581645/1125899906842624 binary64)) (/.f64 x z) (neg.f64 x))))
(if (<=.f64 z #s(literal -36000000000000000000000 binary64)) (-.f64 #s(literal 0 binary64) x) (if (<=.f64 z #s(literal -6061126943744275/31082702275611665134711390509176302506278509424834232340028998555822468563283335970816 binary64)) (*.f64 x (/.f64 y z)) (if (<=.f64 z #s(literal 5854679515581645/1125899906842624 binary64)) (/.f64 x z) (-.f64 #s(literal 0 binary64) x))))
(if (<=.f64 z #s(literal -160000000000000000000 binary64)) (neg.f64 x) (if (<=.f64 z #s(literal 5854679515581645/1125899906842624 binary64)) (/.f64 x z) (neg.f64 x)))
(if (<=.f64 z #s(literal -160000000000000000000 binary64)) (-.f64 #s(literal 0 binary64) x) (if (<=.f64 z #s(literal 5854679515581645/1125899906842624 binary64)) (/.f64 x z) (-.f64 #s(literal 0 binary64) x)))
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)

soundness1.8s (21.2%)

Rules
5352×*-lowering-*.f32
5352×*-lowering-*.f64
4620×/-lowering-/.f32
4620×/-lowering-/.f64
4092×*-lowering-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02081928
16871794
221891673
084381673
01658
111556
2110556
0866156
01191475
14211328
214101188
348871188
081471188
089
1248
2588
31598
44168
511118
630178
762808
082008
01348
19346
284446
0880346
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 612 to 347 computations (43.3% saved)

preprocess85.0ms (1%)

Remove

(negabs x)

Compiler

Compiled 678 to 276 computations (59.3% saved)

end0.0ms (0%)

Profiling

Loading profile data...