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

Time bar (total: 8.2s)

analyze64.0ms (0.8%)

Algorithm
1×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: 20.0ms
ival-add: 8.0ms (40.7% of total)
ival-sub: 4.0ms (20.3% of total)
ival-mult: 4.0ms (20.3% of total)
ival-div: 2.0ms (10.2% of total)
const: 1.0ms (5.1% of total)
backward-pass: 0.0ms (0% of total)

sample872.0ms (10.6%)

Results
606.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 279.0ms
ival-mult: 84.0ms (30.1% of total)
ival-sub: 68.0ms (24.4% of total)
ival-div: 66.0ms (23.6% of total)
ival-add: 46.0ms (16.5% of total)
const: 12.0ms (4.3% of total)
backward-pass: 3.0ms (1.1% of total)
Bogosity

preprocess205.0ms (2.5%)

Algorithm
2×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
1×iter limit
1×node limit
1×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)

explain121.0ms (1.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
350-0-(/.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
63.0ms512×0valid
Compiler

Compiled 76 to 26 computations (65.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 14.0ms (55.4% of total)
ival-div: 4.0ms (15.8% of total)
ival-sub: 3.0ms (11.9% of total)
ival-add: 3.0ms (11.9% of total)
const: 1.0ms (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
▶87.1%
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
▶96.6%
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) z)))
Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify147.0ms (1.8%)

Algorithm
1×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
1×iter limit
1×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)

localize67.0ms (0.8%)

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)))
✓accuracy87.1%
(/.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)
✓accuracy96.6%
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) z)))
Results
51.0ms256×0valid
Compiler

Compiled 60 to 14 computations (76.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 6.0ms (37.5% of total)
ival-sub: 4.0ms (25% of total)
ival-div: 4.0ms (25% of total)
ival-add: 1.0ms (6.3% of total)
const: 1.0ms (6.3% 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
3.0ms
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)))
1.0ms
y
@inf
(* x (- -1 (/ (- -1 y) z)))

rewrite298.0ms (3.6%)

Algorithm
1×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
1×iter limit
1×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))
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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))))

simplify177.0ms (2.2%)

Algorithm
1×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
1×iter limit
1×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)

eval85.0ms (1%)

Compiler

Compiled 11106 to 1555 computations (86% saved)

prune60.0ms (0.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New5868594
Fresh000
Picked022
Done000
Total58610596
Accuracy
100.0%
Counts
596 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶74.6%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) (/.f64 z (-.f64 #s(literal -1 binary64) y)))) x) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) z)))
✓87.1%
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
54.9%
(/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) z)
33.7%
(/.f64 (*.f64 x y) z)
▶70.9%
(-.f64 (/.f64 x z) x)
▶45.9%
(-.f64 #s(literal 0 binary64) x)
▶90.2%
(*.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) (/.f64 x z))
32.2%
(*.f64 x (/.f64 y z))
✓96.6%
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) z)))
▶70.9%
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))
Compiler

Compiled 200 to 128 computations (36% saved)

simplify182.0ms (2.2%)

Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) (/.f64 z (-.f64 #s(literal -1 binary64) y)))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) (/.f64 z (-.f64 #s(literal -1 binary64) y))))
✓cost-diff0
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) (/.f64 z (-.f64 #s(literal -1 binary64) y)))) x)
✓cost-diff0
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) (/.f64 z (-.f64 #s(literal -1 binary64) y)))) x) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) z)))
✓cost-diff0
(/.f64 #s(literal -1 binary64) z)
✓cost-diff0
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))
✓cost-diff128
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #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 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))
Rules
2002×*-lowering-*.f32
2002×*-lowering-*.f64
1976×sum5-define
1932×fma-lowering-fma.f32
1932×fma-lowering-fma.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
024144
152141
2128136
3377135
41465123
57461123
08543123
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (+ (- y z) 1) (/ x z))
(+ (- y z) 1)
(- y z)
y
z
1
(/ x z)
x
(- 0 x)
0
x
(- (/ x z) x)
(/ x z)
x
z
(* x (- -1 (/ -1 z)))
x
(- -1 (/ -1 z))
-1
(/ -1 z)
z
(/ (* (+ 1 (/ (/ (+ y 1) z) (/ z (- -1 y)))) x) (- -1 (/ (+ y 1) z)))
(* (+ 1 (/ (/ (+ y 1) z) (/ z (- -1 y)))) x)
(+ 1 (/ (/ (+ y 1) z) (/ z (- -1 y))))
1
(/ (/ (+ y 1) z) (/ z (- -1 y)))
(/ (+ y 1) z)
(+ y 1)
y
z
(/ z (- -1 y))
(- -1 y)
-1
x
(- -1 (/ (+ y 1) z))
Outputs
(* (+ (- 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
(- 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 (- -1 (/ -1 z)))
(-.f64 (/.f64 x z) x)
x
(- -1 (/ -1 z))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z))
-1
#s(literal -1 binary64)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
z
(/ (* (+ 1 (/ (/ (+ y 1) z) (/ z (- -1 y)))) x) (- -1 (/ (+ y 1) z)))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) (/.f64 z (-.f64 #s(literal -1 binary64) y))))) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) z)))
(* (+ 1 (/ (/ (+ y 1) z) (/ z (- -1 y)))) x)
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) (/.f64 z (-.f64 #s(literal -1 binary64) y)))))
(+ 1 (/ (/ (+ y 1) z) (/ z (- -1 y))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) (/.f64 z (-.f64 #s(literal -1 binary64) y))))
1
#s(literal 1 binary64)
(/ (/ (+ y 1) z) (/ z (- -1 y)))
(/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) (/.f64 z (-.f64 #s(literal -1 binary64) y)))
(/ (+ y 1) z)
(/.f64 (+.f64 y #s(literal 1 binary64)) z)
(+ y 1)
(+.f64 y #s(literal 1 binary64))
y
z
(/ z (- -1 y))
(/.f64 z (-.f64 #s(literal -1 binary64) y))
(- -1 y)
(-.f64 #s(literal -1 binary64) y)
-1
#s(literal -1 binary64)
x
(- -1 (/ (+ y 1) z))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) z))

localize131.0ms (1.6%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 z (-.f64 #s(literal -1 binary64) y))
✓accuracy99.7%
(/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) (/.f64 z (-.f64 #s(literal -1 binary64) y)))
✓accuracy96.3%
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) (/.f64 z (-.f64 #s(literal -1 binary64) y)))) x)
✓accuracy79.3%
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) (/.f64 z (-.f64 #s(literal -1 binary64) y)))) x) (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) z)))
✓accuracy100.0%
(/.f64 #s(literal -1 binary64) z)
✓accuracy100.0%
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))
✓accuracy99.8%
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #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 x z)
✓accuracy100.0%
(-.f64 y z)
✓accuracy100.0%
(+.f64 (-.f64 y z) #s(literal 1 binary64))
✓accuracy90.2%
(*.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) (/.f64 x z))
Results
83.0ms256×0valid
Compiler

Compiled 151 to 25 computations (83.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-div: 11.0ms (37.1% of total)
ival-sub: 8.0ms (27% of total)
ival-add: 5.0ms (16.8% of total)
ival-mult: 5.0ms (16.8% of total)
const: 1.0ms (3.4% of total)
backward-pass: 0.0ms (0% of total)

series29.0ms (0.4%)

Counts
14 → 336
Calls
Call 1
Inputs
#<alt (* (+ (- y z) 1) (/ x z))>
#<alt (+ (- y z) 1)>
#<alt (- y z)>
#<alt (/ x z)>
#<alt (- 0 x)>
#<alt (- (/ x z) x)>
#<alt (* x (- -1 (/ -1 z)))>
#<alt (- -1 (/ -1 z))>
#<alt (/ -1 z)>
#<alt (/ (* (+ 1 (/ (/ (+ y 1) z) (/ z (- -1 y)))) x) (- -1 (/ (+ y 1) z)))>
#<alt (* (+ 1 (/ (/ (+ y 1) z) (/ z (- -1 y)))) x)>
#<alt (+ 1 (/ (/ (+ y 1) z) (/ z (- -1 y))))>
#<alt (/ (/ (+ y 1) z) (/ z (- -1 y)))>
#<alt (/ z (- -1 y))>
Outputs
#<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)>
#<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 (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (* -1 x)>
#<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 (- (/ 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 (* x (- (/ 1 z) 1))>
#<alt (* x (- (/ 1 z) 1))>
#<alt (* x (- (/ 1 z) 1))>
#<alt (* x (- (/ 1 z) 1))>
#<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 (/ 1 z)>
#<alt (/ (+ 1 (* -1 z)) z)>
#<alt (/ (+ 1 (* -1 z)) z)>
#<alt (/ (+ 1 (* -1 z)) z)>
#<alt -1>
#<alt (- (/ 1 z) 1)>
#<alt (- (/ 1 z) 1)>
#<alt (- (/ 1 z) 1)>
#<alt -1>
#<alt (- (/ 1 z) 1)>
#<alt (- (/ 1 z) 1)>
#<alt (- (/ 1 z) 1)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (/ -1 z)>
#<alt (* -1 (/ (* x (- 1 (/ 1 (pow z 2)))) (+ 1 (/ 1 z))))>
#<alt (+ (* -1 (* y (- (* -2 (/ x (* (pow z 2) (+ 1 (/ 1 z))))) (/ (* x (- 1 (/ 1 (pow z 2)))) (* z (pow (+ 1 (/ 1 z)) 2)))))) (* -1 (/ (* x (- 1 (/ 1 (pow z 2)))) (+ 1 (/ 1 z)))))>
#<alt (+ (* -1 (/ (* x (- 1 (/ 1 (pow z 2)))) (+ 1 (/ 1 z)))) (* y (+ (* -1 (* y (- (+ (* -1 (/ x (* (pow z 2) (+ 1 (/ 1 z))))) (/ (* x (- 1 (/ 1 (pow z 2)))) (* (pow z 2) (pow (+ 1 (/ 1 z)) 3)))) (* -2 (/ x (* (pow z 3) (pow (+ 1 (/ 1 z)) 2))))))) (* -1 (- (* -2 (/ x (* (pow z 2) (+ 1 (/ 1 z))))) (/ (* x (- 1 (/ 1 (pow z 2)))) (* z (pow (+ 1 (/ 1 z)) 2))))))))>
#<alt (+ (* -1 (/ (* x (- 1 (/ 1 (pow z 2)))) (+ 1 (/ 1 z)))) (* y (+ (* -1 (- (* -2 (/ x (* (pow z 2) (+ 1 (/ 1 z))))) (/ (* x (- 1 (/ 1 (pow z 2)))) (* z (pow (+ 1 (/ 1 z)) 2))))) (* y (+ (* -1 (* y (- (* -2 (/ x (* (pow z 4) (pow (+ 1 (/ 1 z)) 3)))) (+ (* -1 (/ x (* (pow z 3) (pow (+ 1 (/ 1 z)) 2)))) (/ (* x (- 1 (/ 1 (pow z 2)))) (* (pow z 3) (pow (+ 1 (/ 1 z)) 4))))))) (* -1 (- (+ (* -1 (/ x (* (pow z 2) (+ 1 (/ 1 z))))) (/ (* x (- 1 (/ 1 (pow z 2)))) (* (pow z 2) (pow (+ 1 (/ 1 z)) 3)))) (* -2 (/ x (* (pow z 3) (pow (+ 1 (/ 1 z)) 2)))))))))))>
#<alt (/ (* x y) z)>
#<alt (* y (+ (* -1 (/ (- (* -2 (/ x z)) (* -1 (* x (+ 1 (/ 1 z))))) y)) (/ x z)))>
#<alt (* y (+ (* -1 (/ (- (* -2 (/ x z)) (* -1 (* x (+ 1 (/ 1 z))))) y)) (+ (* -1 (/ (- (* x (* z (- 1 (/ 1 (pow z 2))))) (* z (* (+ 1 (/ 1 z)) (- (* -2 (/ x z)) (* -1 (* x (+ 1 (/ 1 z)))))))) (pow y 2))) (/ x z))))>
#<alt (* y (+ (* -1 (/ (- (* -2 (/ x z)) (* -1 (* x (+ 1 (/ 1 z))))) y)) (+ (* -1 (/ (- (* x (* z (- 1 (/ 1 (pow z 2))))) (* z (* (+ 1 (/ 1 z)) (- (* -2 (/ x z)) (* -1 (* x (+ 1 (/ 1 z)))))))) (pow y 2))) (+ (/ x z) (/ (* z (* (+ 1 (/ 1 z)) (- (* x (* z (- 1 (/ 1 (pow z 2))))) (* z (* (+ 1 (/ 1 z)) (- (* -2 (/ x z)) (* -1 (* x (+ 1 (/ 1 z)))))))))) (pow y 3))))))>
#<alt (/ (* x y) z)>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (- (* 2 (/ x z)) (* x (+ 1 (/ 1 z)))) y)))))>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (- (+ (* -1 (/ (- (* x (* z (- 1 (/ 1 (pow z 2))))) (* -1 (* z (* (+ 1 (/ 1 z)) (- (* 2 (/ x z)) (* x (+ 1 (/ 1 z)))))))) y)) (* 2 (/ x z))) (* x (+ 1 (/ 1 z)))) y)))))>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* z (* (+ 1 (/ 1 z)) (- (* x (* z (- 1 (/ 1 (pow z 2))))) (* -1 (* z (* (+ 1 (/ 1 z)) (- (* 2 (/ x z)) (* x (+ 1 (/ 1 z)))))))))) y)) (* x (* z (- 1 (/ 1 (pow z 2)))))) (* -1 (* z (* (+ 1 (/ 1 z)) (- (* 2 (/ x z)) (* x (+ 1 (/ 1 z)))))))) y)) (* 2 (/ x z))) (* x (+ 1 (/ 1 z)))) 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 (/ (* x (+ 1 (* -1 (/ (pow (+ 1 y) 2) (pow z 2))))) (+ 1 (+ (/ 1 z) (/ y z)))))>
#<alt (* -1 (/ (* x (+ 1 (* -1 (/ (pow (+ 1 y) 2) (pow z 2))))) (+ 1 (+ (/ 1 z) (/ y z)))))>
#<alt (* -1 (/ (* x (+ 1 (* -1 (/ (pow (+ 1 y) 2) (pow z 2))))) (+ 1 (+ (/ 1 z) (/ y z)))))>
#<alt (* -1 (/ (* x (+ 1 (* -1 (/ (pow (+ 1 y) 2) (pow z 2))))) (+ 1 (+ (/ 1 z) (/ y z)))))>
#<alt (* -1 (/ (* x (+ 1 (* -1 (/ (pow (+ 1 y) 2) (pow z 2))))) (+ 1 (+ (/ 1 z) (/ y z)))))>
#<alt (* -1 (/ (* x (+ 1 (* -1 (/ (pow (+ 1 y) 2) (pow z 2))))) (+ 1 (+ (/ 1 z) (/ y z)))))>
#<alt (* -1 (/ (* x (+ 1 (* -1 (/ (pow (+ 1 y) 2) (pow z 2))))) (+ 1 (+ (/ 1 z) (/ y z)))))>
#<alt (* -1 (/ (* x (+ 1 (* -1 (/ (pow (+ 1 y) 2) (pow z 2))))) (+ 1 (+ (/ 1 z) (/ y z)))))>
#<alt (* -1 (/ (* x (+ 1 (* -1 (/ (pow (+ 1 y) 2) (pow z 2))))) (+ 1 (+ (/ 1 z) (/ y z)))))>
#<alt (* -1 (/ (* x (+ 1 (* -1 (/ (pow (+ 1 y) 2) (pow z 2))))) (+ 1 (+ (/ 1 z) (/ y z)))))>
#<alt (* -1 (/ (* x (+ 1 (* -1 (/ (pow (+ 1 y) 2) (pow z 2))))) (+ 1 (+ (/ 1 z) (/ y z)))))>
#<alt (* -1 (/ (* x (+ 1 (* -1 (/ (pow (+ 1 y) 2) (pow z 2))))) (+ 1 (+ (/ 1 z) (/ y z)))))>
#<alt (* x (- 1 (/ 1 (pow z 2))))>
#<alt (+ (* -2 (/ (* x y) (pow z 2))) (* x (- 1 (/ 1 (pow z 2)))))>
#<alt (+ (* x (- 1 (/ 1 (pow z 2)))) (* y (+ (* -2 (/ x (pow z 2))) (* -1 (/ (* x y) (pow z 2))))))>
#<alt (+ (* x (- 1 (/ 1 (pow z 2)))) (* y (+ (* -2 (/ x (pow z 2))) (* -1 (/ (* x y) (pow z 2))))))>
#<alt (* -1 (/ (* x (pow y 2)) (pow z 2)))>
#<alt (* (pow y 2) (+ (* -2 (/ x (* y (pow z 2)))) (* -1 (/ x (pow z 2)))))>
#<alt (* (pow y 2) (+ (* -2 (/ x (* y (pow z 2)))) (+ (* -1 (/ x (pow z 2))) (/ (* x (- 1 (/ 1 (pow z 2)))) (pow y 2)))))>
#<alt (* (pow y 2) (+ (* -2 (/ x (* y (pow z 2)))) (+ (* -1 (/ x (pow z 2))) (/ (* x (- 1 (/ 1 (pow z 2)))) (pow y 2)))))>
#<alt (* -1 (/ (* x (pow y 2)) (pow z 2)))>
#<alt (* (pow y 2) (+ (* -2 (/ x (* y (pow z 2)))) (* -1 (/ x (pow z 2)))))>
#<alt (* (pow y 2) (+ (* -1 (/ x (pow z 2))) (* -1 (/ (+ (* -1 (/ (* x (- 1 (/ 1 (pow z 2)))) y)) (* 2 (/ x (pow z 2)))) y))))>
#<alt (* (pow y 2) (+ (* -1 (/ x (pow z 2))) (* -1 (/ (+ (* -1 (/ (* x (- 1 (/ 1 (pow z 2)))) y)) (* 2 (/ x (pow z 2)))) y))))>
#<alt (* -1 (/ (* x (pow (+ 1 y) 2)) (pow z 2)))>
#<alt (/ (+ (* -1 (* x (pow (+ 1 y) 2))) (* x (pow z 2))) (pow z 2))>
#<alt (/ (+ (* -1 (* x (pow (+ 1 y) 2))) (* x (pow z 2))) (pow z 2))>
#<alt (/ (+ (* -1 (* x (pow (+ 1 y) 2))) (* x (pow z 2))) (pow z 2))>
#<alt x>
#<alt (+ x (* -1 (/ (* x (pow (+ 1 y) 2)) (pow z 2))))>
#<alt (+ x (* -1 (/ (* x (pow (+ 1 y) 2)) (pow z 2))))>
#<alt (+ x (* -1 (/ (* x (pow (+ 1 y) 2)) (pow z 2))))>
#<alt x>
#<alt (+ x (* -1 (/ (* x (pow (+ 1 y) 2)) (pow z 2))))>
#<alt (+ x (* -1 (/ (* x (pow (+ 1 y) 2)) (pow z 2))))>
#<alt (+ x (* -1 (/ (* x (pow (+ 1 y) 2)) (pow z 2))))>
#<alt (* x (+ 1 (* -1 (/ (pow (+ 1 y) 2) (pow z 2)))))>
#<alt (* x (+ 1 (* -1 (/ (pow (+ 1 y) 2) (pow z 2)))))>
#<alt (* x (+ 1 (* -1 (/ (pow (+ 1 y) 2) (pow z 2)))))>
#<alt (* x (+ 1 (* -1 (/ (pow (+ 1 y) 2) (pow z 2)))))>
#<alt (* x (+ 1 (* -1 (/ (pow (+ 1 y) 2) (pow z 2)))))>
#<alt (* x (+ 1 (* -1 (/ (pow (+ 1 y) 2) (pow z 2)))))>
#<alt (* x (+ 1 (* -1 (/ (pow (+ 1 y) 2) (pow z 2)))))>
#<alt (* x (+ 1 (* -1 (/ (pow (+ 1 y) 2) (pow z 2)))))>
#<alt (* x (+ 1 (* -1 (/ (pow (+ 1 y) 2) (pow z 2)))))>
#<alt (* x (+ 1 (* -1 (/ (pow (+ 1 y) 2) (pow z 2)))))>
#<alt (* x (+ 1 (* -1 (/ (pow (+ 1 y) 2) (pow z 2)))))>
#<alt (* x (+ 1 (* -1 (/ (pow (+ 1 y) 2) (pow z 2)))))>
#<alt (- 1 (/ 1 (pow z 2)))>
#<alt (- (+ 1 (* -2 (/ y (pow z 2)))) (/ 1 (pow z 2)))>
#<alt (- (+ 1 (* y (- (* -1 (/ y (pow z 2))) (* 2 (/ 1 (pow z 2)))))) (/ 1 (pow z 2)))>
#<alt (- (+ 1 (* y (- (* -1 (/ y (pow z 2))) (* 2 (/ 1 (pow z 2)))))) (/ 1 (pow z 2)))>
#<alt (* -1 (/ (pow y 2) (pow z 2)))>
#<alt (* -1 (* (pow y 2) (+ (* 2 (/ 1 (* y (pow z 2)))) (/ 1 (pow z 2)))))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (+ (/ 1 (* (pow y 2) (pow z 2))) (+ (/ 1 (pow z 2)) (/ 2 (* y (pow z 2)))))))>
#<alt (* (pow y 2) (- (/ 1 (pow y 2)) (+ (/ 1 (* (pow y 2) (pow z 2))) (+ (/ 1 (pow z 2)) (/ 2 (* y (pow z 2)))))))>
#<alt (* -1 (/ (pow y 2) (pow z 2)))>
#<alt (* -1 (* (pow y 2) (+ (* 2 (/ 1 (* y (pow z 2)))) (/ 1 (pow z 2)))))>
#<alt (* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (- 1 (/ 1 (pow z 2))) y)) (* 2 (/ 1 (pow z 2)))) y)) (/ 1 (pow z 2))))>
#<alt (* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (- 1 (/ 1 (pow z 2))) y)) (* 2 (/ 1 (pow z 2)))) y)) (/ 1 (pow z 2))))>
#<alt (* -1 (/ (pow (+ 1 y) 2) (pow z 2)))>
#<alt (/ (+ (* -1 (pow (+ 1 y) 2)) (pow z 2)) (pow z 2))>
#<alt (/ (+ (* -1 (pow (+ 1 y) 2)) (pow z 2)) (pow z 2))>
#<alt (/ (+ (* -1 (pow (+ 1 y) 2)) (pow z 2)) (pow z 2))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow (+ 1 y) 2) (pow z 2))))>
#<alt (+ 1 (* -1 (/ (pow (+ 1 y) 2) (pow z 2))))>
#<alt (+ 1 (* -1 (/ (pow (+ 1 y) 2) (pow z 2))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (pow (+ 1 y) 2) (pow z 2))))>
#<alt (+ 1 (* -1 (/ (pow (+ 1 y) 2) (pow z 2))))>
#<alt (+ 1 (* -1 (/ (pow (+ 1 y) 2) (pow z 2))))>
#<alt (/ -1 (pow z 2))>
#<alt (- (* -2 (/ y (pow z 2))) (/ 1 (pow z 2)))>
#<alt (- (* y (- (* -1 (/ y (pow z 2))) (* 2 (/ 1 (pow z 2))))) (/ 1 (pow z 2)))>
#<alt (- (* y (- (* -1 (/ y (pow z 2))) (* 2 (/ 1 (pow z 2))))) (/ 1 (pow z 2)))>
#<alt (* -1 (/ (pow y 2) (pow z 2)))>
#<alt (* -1 (* (pow y 2) (+ (* 2 (/ 1 (* y (pow z 2)))) (/ 1 (pow z 2)))))>
#<alt (* (pow y 2) (- (* -1 (/ (+ (* 2 (/ 1 (pow z 2))) (/ 1 (* y (pow z 2)))) y)) (/ 1 (pow z 2))))>
#<alt (* (pow y 2) (- (* -1 (/ (+ (* 2 (/ 1 (pow z 2))) (/ 1 (* y (pow z 2)))) y)) (/ 1 (pow z 2))))>
#<alt (* -1 (/ (pow y 2) (pow z 2)))>
#<alt (* -1 (* (pow y 2) (+ (* 2 (/ 1 (* y (pow z 2)))) (/ 1 (pow z 2)))))>
#<alt (* (pow y 2) (- (* -1 (/ (+ (/ 1 (* y (pow z 2))) (* 2 (/ 1 (pow z 2)))) y)) (/ 1 (pow z 2))))>
#<alt (* (pow y 2) (- (* -1 (/ (+ (/ 1 (* y (pow z 2))) (* 2 (/ 1 (pow z 2)))) y)) (/ 1 (pow z 2))))>
#<alt (* -1 (/ (pow (+ 1 y) 2) (pow z 2)))>
#<alt (* -1 (/ (pow (+ 1 y) 2) (pow z 2)))>
#<alt (* -1 (/ (pow (+ 1 y) 2) (pow z 2)))>
#<alt (* -1 (/ (pow (+ 1 y) 2) (pow z 2)))>
#<alt (* -1 (/ (pow (+ 1 y) 2) (pow z 2)))>
#<alt (* -1 (/ (pow (+ 1 y) 2) (pow z 2)))>
#<alt (* -1 (/ (pow (+ 1 y) 2) (pow z 2)))>
#<alt (* -1 (/ (pow (+ 1 y) 2) (pow z 2)))>
#<alt (* -1 (/ (pow (+ 1 y) 2) (pow z 2)))>
#<alt (* -1 (/ (pow (+ 1 y) 2) (pow z 2)))>
#<alt (* -1 (/ (pow (+ 1 y) 2) (pow z 2)))>
#<alt (* -1 (/ (pow (+ 1 y) 2) (pow z 2)))>
#<alt (* -1 (/ z (+ 1 y)))>
#<alt (* -1 (/ z (+ 1 y)))>
#<alt (* -1 (/ z (+ 1 y)))>
#<alt (* -1 (/ z (+ 1 y)))>
#<alt (* -1 (/ z (+ 1 y)))>
#<alt (* -1 (/ z (+ 1 y)))>
#<alt (* -1 (/ z (+ 1 y)))>
#<alt (* -1 (/ z (+ 1 y)))>
#<alt (* -1 (/ z (+ 1 y)))>
#<alt (* -1 (/ z (+ 1 y)))>
#<alt (* -1 (/ z (+ 1 y)))>
#<alt (* -1 (/ z (+ 1 y)))>
#<alt (* -1 z)>
#<alt (+ (* -1 z) (* y z))>
#<alt (+ (* -1 z) (* y (+ z (* -1 (* y z)))))>
#<alt (+ (* -1 z) (* y (+ z (* y (+ (* -1 z) (* y z))))))>
#<alt (* -1 (/ z y))>
#<alt (/ (+ (* -1 z) (/ z y)) y)>
#<alt (/ (+ (* -1 z) (+ (* -1 (/ z (pow y 2))) (/ z y))) y)>
#<alt (/ (+ (* -1 z) (+ (* -1 (/ z (pow y 2))) (+ (/ z y) (/ z (pow y 3))))) y)>
#<alt (* -1 (/ z y))>
#<alt (* -1 (/ (+ z (* -1 (/ z y))) y))>
#<alt (* -1 (/ (+ z (* -1 (/ (- (* -1 (/ z y)) (* -1 z)) y))) y))>
#<alt (* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (* -1 (/ z y)) (* -1 z)) y)) (* -1 z)) y))) y))>
Calls

84 calls:

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

rewrite325.0ms (4%)

Algorithm
1×batch-egg-rewrite
Rules
4544×/-lowering-/.f32
4544×/-lowering-/.f64
3268×*-lowering-*.f32
3268×*-lowering-*.f64
1576×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024107
118178
2196978
0892378
Stop Event
1×iter limit
1×node limit
Counts
14 → 677
Calls
Call 1
Inputs
(* (+ (- y z) 1) (/ x z))
(+ (- y z) 1)
(- y z)
(/ x z)
(- 0 x)
(- (/ x z) x)
(* x (- -1 (/ -1 z)))
(- -1 (/ -1 z))
(/ -1 z)
(/ (* (+ 1 (/ (/ (+ y 1) z) (/ z (- -1 y)))) x) (- -1 (/ (+ y 1) z)))
(* (+ 1 (/ (/ (+ y 1) z) (/ z (- -1 y)))) x)
(+ 1 (/ (/ (+ y 1) z) (/ z (- -1 y))))
(/ (/ (+ y 1) z) (/ z (- -1 y)))
(/ z (- -1 y))
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))
(-.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)))
(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 x (/.f64 #s(literal 1 binary64) 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) z) (*.f64 (-.f64 y z) (/.f64 x z)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) x (*.f64 (-.f64 y z) (/.f64 x z)))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) x)))
(/.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) (/.f64 z x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) x))))
(/.f64 (*.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) x) z)
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) (*.f64 (-.f64 y z) (-.f64 y z)))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 #s(literal 1 binary64) (-.f64 y z))) (/.f64 z x)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) (*.f64 (-.f64 y z) (-.f64 y z)))) x) (*.f64 (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 #s(literal 1 binary64) (-.f64 y z))) z))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) (*.f64 (-.f64 y z) (-.f64 y z)))) (-.f64 #s(literal 0 binary64) x)) (*.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 (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 y z) #s(literal -1 binary64)) (/.f64 z x)))
(/.f64 (*.f64 (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) #s(literal -1 binary64)) x) (*.f64 (+.f64 (-.f64 y z) #s(literal -1 binary64)) z))
(/.f64 (*.f64 (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) (*.f64 (+.f64 (-.f64 y z) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) (*.f64 (-.f64 y z) (-.f64 y z))))) (*.f64 (/.f64 z x) (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 #s(literal 1 binary64) (-.f64 y z)))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) #s(literal -1 binary64))) (*.f64 (/.f64 z x) (+.f64 (-.f64 y z) #s(literal -1 binary64))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) (*.f64 (-.f64 y z) (-.f64 y z))))) (*.f64 z (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 #s(literal 1 binary64) (-.f64 y z)))))
(/.f64 (*.f64 x (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) #s(literal -1 binary64))) (*.f64 z (+.f64 (-.f64 y z) #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) (*.f64 (-.f64 y z) (-.f64 y z))))) (*.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 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 (-.f64 y z) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) x)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 z x))
(/.f64 (*.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 (/.f64 x z) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) (*.f64 (-.f64 y z) (-.f64 y z))))) (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 #s(literal 1 binary64) (-.f64 y z))))
(/.f64 (*.f64 (/.f64 x z) (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) #s(literal -1 binary64))) (+.f64 (-.f64 y z) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) (*.f64 (-.f64 y z) (-.f64 y z)))) (/.f64 x z)) (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 #s(literal 1 binary64) (-.f64 y z))))
(/.f64 (*.f64 (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 x z)) (+.f64 (-.f64 y z) #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (-.f64 y z) #s(literal 1 binary64))) (/.f64 z x))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (-.f64 y z) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) z))
(/.f64 (neg.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64))) (neg.f64 (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) (*.f64 (-.f64 y z) (-.f64 y z)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 #s(literal 1 binary64) (-.f64 y z))) (/.f64 z x))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) (*.f64 (-.f64 y z) (-.f64 y z)))) x)) (neg.f64 (*.f64 (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 #s(literal 1 binary64) (-.f64 y z))) z)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) (*.f64 (-.f64 y z) (-.f64 y z)))) (-.f64 #s(literal 0 binary64) x))) (neg.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 (neg.f64 (*.f64 (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (-.f64 y z) #s(literal -1 binary64)) (/.f64 z x))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) #s(literal -1 binary64)) x)) (neg.f64 (*.f64 (+.f64 (-.f64 y z) #s(literal -1 binary64)) z)))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (*.f64 (+.f64 (-.f64 y z) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) z))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) (*.f64 (-.f64 y z) (-.f64 y z)))))) (neg.f64 (*.f64 (/.f64 z x) (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 #s(literal 1 binary64) (-.f64 y z))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) #s(literal -1 binary64)))) (neg.f64 (*.f64 (/.f64 z x) (+.f64 (-.f64 y z) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) (*.f64 (-.f64 y z) (-.f64 y z)))))) (neg.f64 (*.f64 z (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 #s(literal 1 binary64) (-.f64 y z))))))
(/.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) #s(literal -1 binary64)))) (neg.f64 (*.f64 z (+.f64 (-.f64 y z) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) (*.f64 (-.f64 y z) (-.f64 y z)))))) (neg.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 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) #s(literal -1 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 (-.f64 y z) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) x))) (neg.f64 (-.f64 #s(literal 0 binary64) z)))
(/.f64 (neg.f64 (*.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x))) (neg.f64 (-.f64 #s(literal 0 binary64) z)))
(/.f64 (neg.f64 (*.f64 (/.f64 x z) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) (*.f64 (-.f64 y z) (-.f64 y z)))))) (neg.f64 (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 #s(literal 1 binary64) (-.f64 y z)))))
(/.f64 (neg.f64 (*.f64 (/.f64 x z) (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (-.f64 y z) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) (*.f64 (-.f64 y z) (-.f64 y z)))) (/.f64 x z))) (neg.f64 (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 #s(literal 1 binary64) (-.f64 y z)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) #s(literal -1 binary64)) (/.f64 x z))) (neg.f64 (+.f64 (-.f64 y z) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (-.f64 y z) #s(literal 1 binary64)))) (neg.f64 (/.f64 z x)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (-.f64 y z) #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 0 binary64) z)))
(/.f64 (+.f64 (*.f64 (/.f64 x z) (/.f64 (/.f64 x z) (/.f64 z x))) (pow.f64 (*.f64 (-.f64 y z) (/.f64 x z)) #s(literal 3 binary64))) (+.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (-.f64 (*.f64 (*.f64 (-.f64 y z) (/.f64 x z)) (*.f64 (-.f64 y z) (/.f64 x z))) (*.f64 (/.f64 x z) (*.f64 (-.f64 y z) (/.f64 x z))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x z) (-.f64 y z)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (/.f64 x z) (-.f64 y z)) (*.f64 (/.f64 x z) (-.f64 y z))) (-.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1 binary64)) (*.f64 (/.f64 x z) #s(literal 1 binary64))) (*.f64 (*.f64 (/.f64 x z) (-.f64 y z)) (*.f64 (/.f64 x z) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x z) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x z) (-.f64 y z)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (/.f64 x z) #s(literal 1 binary64)) (*.f64 (/.f64 x z) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 (/.f64 x z) (-.f64 y z)) (*.f64 (/.f64 x z) (-.f64 y z))) (*.f64 (*.f64 (/.f64 x z) #s(literal 1 binary64)) (*.f64 (/.f64 x z) (-.f64 y z))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 y z) (/.f64 x z)) #s(literal 3 binary64)) (*.f64 (/.f64 x z) (/.f64 (/.f64 x z) (/.f64 z x)))) (+.f64 (*.f64 (*.f64 (-.f64 y z) (/.f64 x z)) (*.f64 (-.f64 y z) (/.f64 x z))) (-.f64 (/.f64 (/.f64 x z) (/.f64 z x)) (*.f64 (*.f64 (-.f64 y z) (/.f64 x z)) (/.f64 x z)))))
(pow.f64 (/.f64 z (*.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) x)) #s(literal -1 binary64))
(*.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) (/.f64 x z))
(*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 (-.f64 y z) #s(literal 1 binary64))))
(*.f64 (/.f64 x z) (+.f64 (-.f64 y z) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (*.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) (*.f64 (-.f64 y z) (-.f64 y z)))) z) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 #s(literal 1 binary64) (-.f64 y z)))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) #s(literal -1 binary64)) z) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 y z) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) z) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) x) z))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (/.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) z))
(+.f64 y (neg.f64 (+.f64 z #s(literal -1 binary64))))
(+.f64 y (+.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)))
(+.f64 (-.f64 y z) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (-.f64 y z))
(+.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) z))
(-.f64 y (+.f64 z #s(literal -1 binary64)))
(-.f64 (+.f64 y #s(literal 1 binary64)) z)
(-.f64 (/.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (+.f64 (-.f64 y z) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 y z) #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (*.f64 y y) (+.f64 (*.f64 (+.f64 z #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64))) (*.f64 y (+.f64 z #s(literal -1 binary64)))))) (/.f64 (*.f64 (+.f64 z #s(literal -1 binary64)) (*.f64 (+.f64 z #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64)))) (+.f64 (*.f64 y y) (+.f64 (*.f64 (+.f64 z #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64))) (*.f64 y (+.f64 z #s(literal -1 binary64)))))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 y z))) (/.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 #s(literal 1 binary64) (-.f64 y z))))
(-.f64 (/.f64 (*.f64 y y) (+.f64 y (+.f64 z #s(literal -1 binary64)))) (/.f64 (*.f64 (+.f64 z #s(literal -1 binary64)) (+.f64 z #s(literal -1 binary64))) (+.f64 y (+.f64 z #s(literal -1 binary64)))))
(fma.f64 y #s(literal 1 binary64) (neg.f64 (+.f64 z #s(literal -1 binary64))))
(fma.f64 y #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)))
(fma.f64 (-.f64 y z) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) y (neg.f64 (+.f64 z #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) y (+.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 y z) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 0 binary64) z))
(fma.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)))) #s(literal 1 binary64))
(fma.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) z))
(fma.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 y z)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (-.f64 y z) (-.f64 y z)) (-.f64 #s(literal 1 binary64) (-.f64 y z))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 y z) (*.f64 (-.f64 y z) (-.f64 y z))))))
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(*.f64 (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (/.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 y #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) z) (/.f64 z (-.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))))
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(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) z)) #s(literal -1 binary64)))
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 z (-.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))))
(*.f64 (/.f64 z (-.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))))))
(*.f64 (/.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 y #s(literal -1 binary64)))
(*.f64 (/.f64 z (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)))

simplify312.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
4746×*-lowering-*.f32
4746×*-lowering-*.f64
2750×+-lowering-+.f64
2750×+-lowering-+.f32
1526×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03303699
111283109
240322846
092832846
Stop Event
1×iter limit
1×node limit
Counts
336 → 336
Calls
Call 1
Inputs
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(* -1 (/ z (+ 1 y)))
(* -1 (/ z (+ 1 y)))
(* -1 (/ z (+ 1 y)))
(* -1 z)
(+ (* -1 z) (* y z))
(+ (* -1 z) (* y (+ z (* -1 (* y z)))))
(+ (* -1 z) (* y (+ z (* y (+ (* -1 z) (* y z))))))
(* -1 (/ z y))
(/ (+ (* -1 z) (/ z y)) y)
(/ (+ (* -1 z) (+ (* -1 (/ z (pow y 2))) (/ z y))) y)
(/ (+ (* -1 z) (+ (* -1 (/ z (pow y 2))) (+ (/ z y) (/ z (pow y 3))))) y)
(* -1 (/ z y))
(* -1 (/ (+ z (* -1 (/ z y))) y))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ z y)) (* -1 z)) y))) y))
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (* -1 (/ z y)) (* -1 z)) y)) (* -1 z)) y))) y))
Outputs
(/ (* x (- 1 z)) z)
(-.f64 (/.f64 x z) x)
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(+ (/ (* x y) z) (/ (* x (- 1 z)) z))
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 #s(literal -1 binary64) (/.f64 y z))))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(*.f64 y (+.f64 (/.f64 x z) (*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)) y))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(*.f64 y (+.f64 (/.f64 x z) (*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)) y))))
(* y (+ (/ x z) (/ (* x (- 1 z)) (* y z))))
(*.f64 y (+.f64 (/.f64 x z) (*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)) y))))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(*.f64 y (+.f64 (/.f64 x z) (*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)) y))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(*.f64 y (+.f64 (/.f64 x z) (*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)) y))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* x (- 1 z)) (* y z))))))
(*.f64 y (+.f64 (/.f64 x z) (*.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)) y))))
(/ (* 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)))
(- 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 y (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) y)))
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) y)))
(* y (- (+ 1 (/ 1 y)) (/ z y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) y)))
y
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(*.f64 y (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z #s(literal -1 binary64)) y))))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(*.f64 y (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z #s(literal -1 binary64)) y))))
(* -1 (* y (- (* -1 (/ (- 1 z) y)) 1)))
(*.f64 y (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 z #s(literal -1 binary64)) y))))
(+ 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 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 z (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) y) z)))
(* -1 (* z (+ 1 (* -1 (/ (+ 1 y) z)))))
(*.f64 z (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) 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)))
(/ 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 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 (- (/ 1 z) 1))
(-.f64 (/.f64 x z) x)
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(-.f64 (/.f64 x z) x)
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(-.f64 (/.f64 x z) x)
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(-.f64 (/.f64 x z) x)
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(-.f64 (/.f64 x z) x)
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(-.f64 (/.f64 x z) x)
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(-.f64 (/.f64 x z) x)
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(-.f64 (/.f64 x z) x)
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(-.f64 (/.f64 x z) x)
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(-.f64 (/.f64 x z) x)
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(-.f64 (/.f64 x z) x)
(* x (- (/ 1 z) 1))
(-.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)
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(-.f64 (/.f64 x z) x)
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(-.f64 (/.f64 x z) x)
(/ 1 z)
(/.f64 #s(literal 1 binary64) z)
(/ (+ 1 (* -1 z)) z)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z))
(/ (+ 1 (* -1 z)) z)
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(/ (+ 1 (* -1 z)) z)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z))
-1
#s(literal -1 binary64)
(- (/ 1 z) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z))
(- (/ 1 z) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z))
(- (/ 1 z) 1)
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-1
#s(literal -1 binary64)
(- (/ 1 z) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z))
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(- (/ 1 z) 1)
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(/ -1 z)
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(/ -1 z)
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(/ -1 z)
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(/ -1 z)
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(/ -1 z)
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(* -1 (/ (* x (- 1 (/ 1 (pow z 2)))) (+ 1 (/ 1 z))))
(/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))
(+ (* -1 (* y (- (* -2 (/ x (* (pow z 2) (+ 1 (/ 1 z))))) (/ (* x (- 1 (/ 1 (pow z 2)))) (* z (pow (+ 1 (/ 1 z)) 2)))))) (* -1 (/ (* x (- 1 (/ 1 (pow z 2)))) (+ 1 (/ 1 z)))))
(+.f64 (/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) (*.f64 y (+.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 z (+.f64 #s(literal 1 binary64) z))) (/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) z))))))
(+ (* -1 (/ (* x (- 1 (/ 1 (pow z 2)))) (+ 1 (/ 1 z)))) (* y (+ (* -1 (* y (- (+ (* -1 (/ x (* (pow z 2) (+ 1 (/ 1 z))))) (/ (* x (- 1 (/ 1 (pow z 2)))) (* (pow z 2) (pow (+ 1 (/ 1 z)) 3)))) (* -2 (/ x (* (pow z 3) (pow (+ 1 (/ 1 z)) 2))))))) (* -1 (- (* -2 (/ x (* (pow z 2) (+ 1 (/ 1 z))))) (/ (* x (- 1 (/ 1 (pow z 2)))) (* z (pow (+ 1 (/ 1 z)) 2))))))))
(+.f64 (/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) (*.f64 y (+.f64 (*.f64 y (-.f64 (/.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) z))) (+.f64 (/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z)))) (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z))))))) (+.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 z (+.f64 #s(literal 1 binary64) z))) (/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) z)))))))
(+ (* -1 (/ (* x (- 1 (/ 1 (pow z 2)))) (+ 1 (/ 1 z)))) (* y (+ (* -1 (- (* -2 (/ x (* (pow z 2) (+ 1 (/ 1 z))))) (/ (* x (- 1 (/ 1 (pow z 2)))) (* z (pow (+ 1 (/ 1 z)) 2))))) (* y (+ (* -1 (* y (- (* -2 (/ x (* (pow z 4) (pow (+ 1 (/ 1 z)) 3)))) (+ (* -1 (/ x (* (pow z 3) (pow (+ 1 (/ 1 z)) 2)))) (/ (* x (- 1 (/ 1 (pow z 2)))) (* (pow z 3) (pow (+ 1 (/ 1 z)) 4))))))) (* -1 (- (+ (* -1 (/ x (* (pow z 2) (+ 1 (/ 1 z))))) (/ (* x (- 1 (/ 1 (pow z 2)))) (* (pow z 2) (pow (+ 1 (/ 1 z)) 3)))) (* -2 (/ x (* (pow z 3) (pow (+ 1 (/ 1 z)) 2)))))))))))
(+.f64 (/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) (*.f64 y (+.f64 (+.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 z (+.f64 #s(literal 1 binary64) z))) (/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (+.f64 #s(literal 1 binary64) z)))) (*.f64 y (-.f64 (-.f64 (/.f64 x (*.f64 z (+.f64 #s(literal 1 binary64) z))) (+.f64 (/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z)))) (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z)))))) (*.f64 y (+.f64 (/.f64 (*.f64 x #s(literal -2 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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) (pow.f64 z #s(literal 4 binary64))))) (-.f64 (/.f64 x (*.f64 z (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1 binary64) z)))) (/.f64 (/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (*.f64 z (*.f64 z z))) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) z)) #s(literal 4 binary64)))))))))))
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(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 y y) z) z))
(* -1 (* (pow y 2) (+ (* 2 (/ 1 (* y (pow z 2)))) (/ 1 (pow z 2)))))
(*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (/.f64 #s(literal -2 binary64) (*.f64 y (*.f64 z z)))))
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (- 1 (/ 1 (pow z 2))) y)) (* 2 (/ 1 (pow z 2)))) y)) (/ 1 (pow z 2))))
(*.f64 (*.f64 y y) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 z z)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))) y)) y)))
(* (pow y 2) (- (* -1 (/ (+ (* -1 (/ (- 1 (/ 1 (pow z 2))) y)) (* 2 (/ 1 (pow z 2)))) y)) (/ 1 (pow z 2))))
(*.f64 (*.f64 y y) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 z z)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z))) y)) y)))
(* -1 (/ (pow (+ 1 y) 2) (pow z 2)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y)) (*.f64 z z))
(/ (+ (* -1 (pow (+ 1 y) 2)) (pow z 2)) (pow z 2))
(/.f64 (-.f64 z (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)) z)) z)
(/ (+ (* -1 (pow (+ 1 y) 2)) (pow z 2)) (pow z 2))
(/.f64 (-.f64 z (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)) z)) z)
(/ (+ (* -1 (pow (+ 1 y) 2)) (pow z 2)) (pow z 2))
(/.f64 (-.f64 z (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)) z)) z)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow (+ 1 y) 2) (pow z 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y)) (*.f64 z z)))
(+ 1 (* -1 (/ (pow (+ 1 y) 2) (pow z 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y)) (*.f64 z z)))
(+ 1 (* -1 (/ (pow (+ 1 y) 2) (pow z 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y)) (*.f64 z z)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (pow (+ 1 y) 2) (pow z 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y)) (*.f64 z z)))
(+ 1 (* -1 (/ (pow (+ 1 y) 2) (pow z 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y)) (*.f64 z z)))
(+ 1 (* -1 (/ (pow (+ 1 y) 2) (pow z 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y)) (*.f64 z z)))
(/ -1 (pow z 2))
(/.f64 #s(literal -1 binary64) (*.f64 z z))
(- (* -2 (/ y (pow z 2))) (/ 1 (pow z 2)))
(+.f64 (*.f64 #s(literal -2 binary64) (/.f64 y (*.f64 z z))) (/.f64 #s(literal -1 binary64) (*.f64 z z)))
(- (* y (- (* -1 (/ y (pow z 2))) (* 2 (/ 1 (pow z 2))))) (/ 1 (pow z 2)))
(+.f64 (*.f64 y (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 z z)) (/.f64 y (*.f64 z z)))) (/.f64 #s(literal -1 binary64) (*.f64 z z)))
(- (* y (- (* -1 (/ y (pow z 2))) (* 2 (/ 1 (pow z 2))))) (/ 1 (pow z 2)))
(+.f64 (*.f64 y (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 z z)) (/.f64 y (*.f64 z z)))) (/.f64 #s(literal -1 binary64) (*.f64 z z)))
(* -1 (/ (pow y 2) (pow z 2)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 y y) z) z))
(* -1 (* (pow y 2) (+ (* 2 (/ 1 (* y (pow z 2)))) (/ 1 (pow z 2)))))
(*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (/.f64 #s(literal -2 binary64) (*.f64 y (*.f64 z z)))))
(* (pow y 2) (- (* -1 (/ (+ (* 2 (/ 1 (pow z 2))) (/ 1 (* y (pow z 2)))) y)) (/ 1 (pow z 2))))
(*.f64 (*.f64 y y) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z z)))) y) (/.f64 #s(literal -1 binary64) (*.f64 z z))))
(* (pow y 2) (- (* -1 (/ (+ (* 2 (/ 1 (pow z 2))) (/ 1 (* y (pow z 2)))) y)) (/ 1 (pow z 2))))
(*.f64 (*.f64 y y) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z z)))) y) (/.f64 #s(literal -1 binary64) (*.f64 z z))))
(* -1 (/ (pow y 2) (pow z 2)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 y y) z) z))
(* -1 (* (pow y 2) (+ (* 2 (/ 1 (* y (pow z 2)))) (/ 1 (pow z 2)))))
(*.f64 (*.f64 y y) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (/.f64 #s(literal -2 binary64) (*.f64 y (*.f64 z z)))))
(* (pow y 2) (- (* -1 (/ (+ (/ 1 (* y (pow z 2))) (* 2 (/ 1 (pow z 2)))) y)) (/ 1 (pow z 2))))
(*.f64 (*.f64 y y) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z z)))) y) (/.f64 #s(literal -1 binary64) (*.f64 z z))))
(* (pow y 2) (- (* -1 (/ (+ (/ 1 (* y (pow z 2))) (* 2 (/ 1 (pow z 2)))) y)) (/ 1 (pow z 2))))
(*.f64 (*.f64 y y) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 z z)))) y) (/.f64 #s(literal -1 binary64) (*.f64 z z))))
(* -1 (/ (pow (+ 1 y) 2) (pow z 2)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y)) (*.f64 z z))
(* -1 (/ (pow (+ 1 y) 2) (pow z 2)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y)) (*.f64 z z))
(* -1 (/ (pow (+ 1 y) 2) (pow z 2)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y)) (*.f64 z z))
(* -1 (/ (pow (+ 1 y) 2) (pow z 2)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y)) (*.f64 z z))
(* -1 (/ (pow (+ 1 y) 2) (pow z 2)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y)) (*.f64 z z))
(* -1 (/ (pow (+ 1 y) 2) (pow z 2)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y)) (*.f64 z z))
(* -1 (/ (pow (+ 1 y) 2) (pow z 2)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y)) (*.f64 z z))
(* -1 (/ (pow (+ 1 y) 2) (pow z 2)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y)) (*.f64 z z))
(* -1 (/ (pow (+ 1 y) 2) (pow z 2)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y)) (*.f64 z z))
(* -1 (/ (pow (+ 1 y) 2) (pow z 2)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y)) (*.f64 z z))
(* -1 (/ (pow (+ 1 y) 2) (pow z 2)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y)) (*.f64 z z))
(* -1 (/ (pow (+ 1 y) 2) (pow z 2)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y)) (*.f64 z z))
(* -1 (/ z (+ 1 y)))
(/.f64 z (-.f64 #s(literal -1 binary64) y))
(* -1 (/ z (+ 1 y)))
(/.f64 z (-.f64 #s(literal -1 binary64) y))
(* -1 (/ z (+ 1 y)))
(/.f64 z (-.f64 #s(literal -1 binary64) y))
(* -1 (/ z (+ 1 y)))
(/.f64 z (-.f64 #s(literal -1 binary64) y))
(* -1 (/ z (+ 1 y)))
(/.f64 z (-.f64 #s(literal -1 binary64) y))
(* -1 (/ z (+ 1 y)))
(/.f64 z (-.f64 #s(literal -1 binary64) y))
(* -1 (/ z (+ 1 y)))
(/.f64 z (-.f64 #s(literal -1 binary64) y))
(* -1 (/ z (+ 1 y)))
(/.f64 z (-.f64 #s(literal -1 binary64) y))
(* -1 (/ z (+ 1 y)))
(/.f64 z (-.f64 #s(literal -1 binary64) y))
(* -1 (/ z (+ 1 y)))
(/.f64 z (-.f64 #s(literal -1 binary64) y))
(* -1 (/ z (+ 1 y)))
(/.f64 z (-.f64 #s(literal -1 binary64) y))
(* -1 (/ z (+ 1 y)))
(/.f64 z (-.f64 #s(literal -1 binary64) y))
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(+ (* -1 z) (* y z))
(*.f64 z (+.f64 y #s(literal -1 binary64)))
(+ (* -1 z) (* y (+ z (* -1 (* y z)))))
(-.f64 (*.f64 y (-.f64 z (*.f64 z y))) z)
(+ (* -1 z) (* y (+ z (* y (+ (* -1 z) (* y z))))))
(-.f64 (*.f64 y (+.f64 z (*.f64 y (*.f64 z (+.f64 y #s(literal -1 binary64)))))) z)
(* -1 (/ z y))
(-.f64 #s(literal 0 binary64) (/.f64 z y))
(/ (+ (* -1 z) (/ z y)) y)
(/.f64 (-.f64 (/.f64 z y) z) y)
(/ (+ (* -1 z) (+ (* -1 (/ z (pow y 2))) (/ z y))) y)
(/.f64 (-.f64 (/.f64 (-.f64 z (/.f64 z y)) y) z) y)
(/ (+ (* -1 z) (+ (* -1 (/ z (pow y 2))) (+ (/ z y) (/ z (pow y 3))))) y)
(/.f64 (+.f64 (-.f64 (/.f64 (-.f64 z (/.f64 z y)) y) z) (/.f64 z (*.f64 y (*.f64 y y)))) y)
(* -1 (/ z y))
(-.f64 #s(literal 0 binary64) (/.f64 z y))
(* -1 (/ (+ z (* -1 (/ z y))) y))
(/.f64 (-.f64 (/.f64 z y) z) y)
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ z y)) (* -1 z)) y))) y))
(/.f64 (-.f64 (/.f64 (-.f64 z (/.f64 z y)) y) z) y)
(* -1 (/ (+ z (* -1 (/ (- (* -1 (/ (- (* -1 (/ z y)) (* -1 z)) y)) (* -1 z)) y))) y))
(/.f64 (-.f64 (/.f64 (+.f64 z (/.f64 (-.f64 (/.f64 z y) z) y)) y) z) y)

eval159.0ms (1.9%)

Compiler

Compiled 23390 to 2653 computations (88.7% saved)

prune113.0ms (1.4%)

Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New106451069
Fresh033
Picked325
Done022
Total1067121079
Accuracy
100.0%
Counts
1079 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶66.0%
(/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))
✓87.1%
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
▶54.9%
(/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) z)
▶33.7%
(/.f64 (*.f64 x y) z)
28.4%
(/.f64 x z)
✓70.9%
(-.f64 (/.f64 x z) x)
62.2%
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x z))
36.8%
(*.f64 y (/.f64 x z))
▶32.2%
(*.f64 x (/.f64 y z))
✓96.6%
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) z)))
✓70.9%
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))
▶45.9%
(neg.f64 x)
Compiler

Compiled 184 to 122 computations (33.7% saved)

simplify193.0ms (2.3%)

Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓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 y)
✓cost-diff0
(/.f64 (*.f64 x y) z)
✓cost-diff0
(/.f64 y z)
✓cost-diff0
(*.f64 x (/.f64 y z))
✓cost-diff-64
(neg.f64 x)
✓cost-diff0
(*.f64 z z)
✓cost-diff0
(/.f64 x (*.f64 z z))
✓cost-diff0
(-.f64 x (/.f64 x (*.f64 z z)))
✓cost-diff0
(/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))
Rules
2094×fma-define
1972×sum5-define
1348×fnmadd-define
1222×sum3-define
1214×*-lowering-*.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01979
14377
27277
317377
451577
5158875
6373475
7765775
0811975
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (- x (/ x (* z z))) (+ -1 (/ -1 z)))
(- x (/ x (* z z)))
x
(/ x (* z z))
(* z z)
z
(+ -1 (/ -1 z))
-1
(/ -1 z)
(neg x)
x
(* x (/ y z))
x
(/ y z)
y
z
(/ (* x y) z)
(* x y)
x
y
z
(/ (* x (+ y 1)) z)
(* x (+ y 1))
x
(+ y 1)
y
1
z
Outputs
(/ (- x (/ x (* z z))) (+ -1 (/ -1 z)))
(/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))
(- x (/ x (* z z)))
(-.f64 x (/.f64 x (*.f64 z z)))
x
(/ x (* z z))
(/.f64 x (*.f64 z z))
(* z z)
(*.f64 z z)
z
(+ -1 (/ -1 z))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))
-1
#s(literal -1 binary64)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(neg x)
(-.f64 #s(literal 0 binary64) x)
x
(* x (/ y z))
(/.f64 (*.f64 x y) z)
x
(/ y z)
(/.f64 y z)
y
z
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* x y)
(*.f64 x y)
x
y
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

localize155.0ms (1.9%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 y #s(literal 1 binary64))
✓accuracy100.0%
(*.f64 x (+.f64 y #s(literal 1 binary64)))
✓accuracy96.2%
(/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) z)
✓accuracy100.0%
(*.f64 x y)
✓accuracy91.9%
(/.f64 (*.f64 x y) z)
✓accuracy100.0%
(/.f64 y z)
✓accuracy92.3%
(*.f64 x (/.f64 y z))
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))
✓accuracy100.0%
(*.f64 z z)
✓accuracy88.2%
(/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))
✓accuracy88.2%
(/.f64 x (*.f64 z z))
Results
97.0ms256×0valid
Compiler

Compiled 87 to 20 computations (77% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-div: 11.0ms (44.9% of total)
ival-mult: 7.0ms (28.6% of total)
ival-add: 3.0ms (12.3% of total)
ival-sub: 1.0ms (4.1% of total)
const: 1.0ms (4.1% of total)
ival-neg: 1.0ms (4.1% of total)
backward-pass: 0.0ms (0% of total)

series24.0ms (0.3%)

Counts
13 → 300
Calls
Call 1
Inputs
#<alt (/ (- x (/ x (* z z))) (+ -1 (/ -1 z)))>
#<alt (- x (/ x (* z z)))>
#<alt (/ x (* z z))>
#<alt (* z z)>
#<alt (neg x)>
#<alt (* x (/ y z))>
#<alt (/ y z)>
#<alt (/ (* x y) z)>
#<alt (* x y)>
#<alt (/ (* x (+ y 1)) z)>
#<alt (* x (+ y 1))>
#<alt (+ y 1)>
#<alt (+ -1 (/ -1 z))>
Outputs
#<alt (* -1 (/ (* x (- 1 (/ 1 (pow z 2)))) (+ 1 (/ 1 z))))>
#<alt (* -1 (/ (* x (- 1 (/ 1 (pow z 2)))) (+ 1 (/ 1 z))))>
#<alt (* -1 (/ (* x (- 1 (/ 1 (pow z 2)))) (+ 1 (/ 1 z))))>
#<alt (* -1 (/ (* x (- 1 (/ 1 (pow z 2)))) (+ 1 (/ 1 z))))>
#<alt (* -1 (/ (* x (- 1 (/ 1 (pow z 2)))) (+ 1 (/ 1 z))))>
#<alt (* -1 (/ (* x (- 1 (/ 1 (pow z 2)))) (+ 1 (/ 1 z))))>
#<alt (* -1 (/ (* x (- 1 (/ 1 (pow z 2)))) (+ 1 (/ 1 z))))>
#<alt (* -1 (/ (* x (- 1 (/ 1 (pow z 2)))) (+ 1 (/ 1 z))))>
#<alt (/ (* x (- (/ 1 (pow z 2)) 1)) (+ 1 (/ 1 z)))>
#<alt (/ (* x (- (/ 1 (pow z 2)) 1)) (+ 1 (/ 1 z)))>
#<alt (/ (* x (- (/ 1 (pow z 2)) 1)) (+ 1 (/ 1 z)))>
#<alt (/ (* x (- (/ 1 (pow z 2)) 1)) (+ 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 (+ (* -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 (/ 1 (pow z 2))))>
#<alt (* x (- 1 (/ 1 (pow z 2))))>
#<alt (* x (- 1 (/ 1 (pow z 2))))>
#<alt (* x (- 1 (/ 1 (pow z 2))))>
#<alt (* x (- 1 (/ 1 (pow z 2))))>
#<alt (* x (- 1 (/ 1 (pow z 2))))>
#<alt (* x (- 1 (/ 1 (pow z 2))))>
#<alt (* x (- 1 (/ 1 (pow z 2))))>
#<alt (* -1 (* x (- (/ 1 (pow z 2)) 1)))>
#<alt (* -1 (* x (- (/ 1 (pow z 2)) 1)))>
#<alt (* -1 (* x (- (/ 1 (pow z 2)) 1)))>
#<alt (* -1 (* x (- (/ 1 (pow z 2)) 1)))>
#<alt (* -1 (/ x (pow z 2)))>
#<alt (/ (- (* x (pow z 2)) x) (pow z 2))>
#<alt (/ (- (* x (pow z 2)) x) (pow z 2))>
#<alt (/ (- (* x (pow z 2)) x) (pow z 2))>
#<alt x>
#<alt (+ x (* -1 (/ x (pow z 2))))>
#<alt (+ x (* -1 (/ x (pow z 2))))>
#<alt (+ x (* -1 (/ x (pow z 2))))>
#<alt x>
#<alt (+ x (* -1 (/ x (pow z 2))))>
#<alt (+ x (* -1 (/ x (pow z 2))))>
#<alt (+ x (* -1 (/ x (pow z 2))))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<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 (* 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 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 (/ -1 z)>
#<alt (/ (- (* -1 z) 1) z)>
#<alt (/ (- (* -1 z) 1) z)>
#<alt (/ (- (* -1 z) 1) z)>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 z)))>
#<alt (* -1 (+ 1 (/ 1 z)))>
#<alt (* -1 (+ 1 (/ 1 z)))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 z)))>
#<alt (* -1 (+ 1 (/ 1 z)))>
#<alt (* -1 (+ 1 (/ 1 z)))>
Calls

75 calls:

TimeVariablePointExpression
6.0ms
z
@-inf
(/ (- x (/ x (* z z))) (+ -1 (/ -1 z)))
2.0ms
y
@-inf
(/ (* x (+ y 1)) z)
1.0ms
x
@0
(/ (- x (/ x (* z z))) (+ -1 (/ -1 z)))
1.0ms
x
@inf
(/ (- x (/ x (* z z))) (+ -1 (/ -1 z)))
1.0ms
x
@-inf
(/ (- x (/ x (* z z))) (+ -1 (/ -1 z)))

rewrite295.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
3846×*-lowering-*.f32
3846×*-lowering-*.f64
3568×/-lowering-/.f32
3568×/-lowering-/.f64
1738×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01962
111760
292053
0879453
Stop Event
1×iter limit
1×node limit
Counts
13 → 526
Calls
Call 1
Inputs
(/ (- x (/ x (* z z))) (+ -1 (/ -1 z)))
(- x (/ x (* z z)))
(/ x (* z z))
(* z z)
(neg x)
(* x (/ y z))
(/ y z)
(/ (* x y) z)
(* x y)
(/ (* x (+ y 1)) z)
(* x (+ y 1))
(+ y 1)
(+ -1 (/ -1 z))
Outputs
(+.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) (/.f64 x (*.f64 z z)) (/.f64 (/.f64 x (*.f64 z z)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))))
(+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) (/.f64 (/.f64 x (*.f64 z z)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))))
(+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 z z)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)))))
(+.f64 (/.f64 (/.f64 x (*.f64 z z)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))
(+.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) x))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) x (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) x)))
(+.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z)) (/.f64 (/.f64 x (*.f64 z z)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z z)))))))) (fma.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z))) (/.f64 (/.f64 x (*.f64 z z)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z z))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z)) (/.f64 (/.f64 x (*.f64 z z)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z z))))))))
(+.f64 (fma.f64 x (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x (*.f64 z z)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))))))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (/.f64 (/.f64 x (*.f64 z z)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x (*.f64 z z)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z)))))))
(+.f64 (fma.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z z))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z)) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) x))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) x (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) x)))
(+.f64 (fma.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z z))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z)) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z)) (/.f64 (/.f64 x (*.f64 z z)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z z)))))))) (fma.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z))) (/.f64 (/.f64 x (*.f64 z z)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z z))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z)) (/.f64 (/.f64 x (*.f64 z z)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z z))))))))
(+.f64 (fma.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z z))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z)) (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x (*.f64 z z)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))))))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (/.f64 (/.f64 x (*.f64 z z)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x (*.f64 z z)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z)))))))
(+.f64 (fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)) (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) x))) (fma.f64 (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) x (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) x)))
(+.f64 (fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z)) (/.f64 (/.f64 x (*.f64 z z)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z z)))))))) (fma.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z))) (/.f64 (/.f64 x (*.f64 z z)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z z))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z)) (/.f64 (/.f64 x (*.f64 z z)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z z))))))))
(+.f64 (fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)) (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x (*.f64 z z)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))))))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z)) (/.f64 (/.f64 x (*.f64 z z)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)) (/.f64 (/.f64 x (*.f64 z z)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z)))))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) x) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 z z)))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) (-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 z z)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) x))
(+.f64 (*.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z z)) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))))) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z z)) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z)))
(+.f64 (*.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z z)) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))))) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z)) (*.f64 (/.f64 (-.f64 (/.f64 x (*.f64 z z)) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) #s(literal -1 binary64)) (*.f64 (/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z)))) (/.f64 #s(literal 1 binary64) z)))
(+.f64 (*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 x (*.f64 z z)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x (*.f64 z z)) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))))) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z) (/.f64 (-.f64 (/.f64 x (*.f64 z z)) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))))))
(+.f64 (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1 binary64)) z) (/.f64 (-.f64 (/.f64 x (*.f64 z z)) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))))) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x (*.f64 z z)) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))))) (*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 z z))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z))))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)))))
(-.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) (/.f64 (/.f64 x (*.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 #s(literal -1 binary64) z))) (neg.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z)))))
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(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64))
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(neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) y)))
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(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) z))) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) z))) #s(literal 1 binary64)))
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(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64))))

simplify212.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
2010×*-lowering-*.f32
2010×*-lowering-*.f64
1960×fma-lowering-fma.f32
1960×fma-lowering-fma.f64
1896×fmm-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0631552
11971377
25051338
314471338
469881338
085311338
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
Calls
Call 1
Inputs
(* -1 (/ (* x (- 1 (/ 1 (pow z 2)))) (+ 1 (/ 1 z))))
(* -1 (/ (* x (- 1 (/ 1 (pow z 2)))) (+ 1 (/ 1 z))))
(* -1 (/ (* x (- 1 (/ 1 (pow z 2)))) (+ 1 (/ 1 z))))
(* -1 (/ (* x (- 1 (/ 1 (pow z 2)))) (+ 1 (/ 1 z))))
(* -1 (/ (* x (- 1 (/ 1 (pow z 2)))) (+ 1 (/ 1 z))))
(* -1 (/ (* x (- 1 (/ 1 (pow z 2)))) (+ 1 (/ 1 z))))
(* -1 (/ (* x (- 1 (/ 1 (pow z 2)))) (+ 1 (/ 1 z))))
(* -1 (/ (* x (- 1 (/ 1 (pow z 2)))) (+ 1 (/ 1 z))))
(/ (* x (- (/ 1 (pow z 2)) 1)) (+ 1 (/ 1 z)))
(/ (* x (- (/ 1 (pow z 2)) 1)) (+ 1 (/ 1 z)))
(/ (* x (- (/ 1 (pow z 2)) 1)) (+ 1 (/ 1 z)))
(/ (* x (- (/ 1 (pow z 2)) 1)) (+ 1 (/ 1 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 (/ 1 (pow z 2))))
(* x (- 1 (/ 1 (pow z 2))))
(* x (- 1 (/ 1 (pow z 2))))
(* x (- 1 (/ 1 (pow z 2))))
(* x (- 1 (/ 1 (pow z 2))))
(* x (- 1 (/ 1 (pow z 2))))
(* x (- 1 (/ 1 (pow z 2))))
(* x (- 1 (/ 1 (pow z 2))))
(* -1 (* x (- (/ 1 (pow z 2)) 1)))
(* -1 (* x (- (/ 1 (pow z 2)) 1)))
(* -1 (* x (- (/ 1 (pow z 2)) 1)))
(* -1 (* x (- (/ 1 (pow z 2)) 1)))
(* -1 (/ x (pow z 2)))
(/ (- (* x (pow z 2)) x) (pow z 2))
(/ (- (* x (pow z 2)) x) (pow z 2))
(/ (- (* x (pow z 2)) x) (pow z 2))
x
(+ x (* -1 (/ x (pow z 2))))
(+ x (* -1 (/ x (pow z 2))))
(+ x (* -1 (/ x (pow z 2))))
x
(+ x (* -1 (/ x (pow z 2))))
(+ x (* -1 (/ x (pow z 2))))
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(/ x (pow z 2))
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(/ x (pow z 2))
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(/ x (pow z 2))
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(/ x (pow z 2))
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(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* -1 x)
(* -1 x)
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(/ (* x y) z)
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(/ (* x y) z)
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(/ (* 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 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))))))
(/ (* 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))
(* 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)))
(/ -1 z)
(/ (- (* -1 z) 1) z)
(/ (- (* -1 z) 1) z)
(/ (- (* -1 z) 1) z)
-1
(* -1 (+ 1 (/ 1 z)))
(* -1 (+ 1 (/ 1 z)))
(* -1 (+ 1 (/ 1 z)))
-1
(* -1 (+ 1 (/ 1 z)))
(* -1 (+ 1 (/ 1 z)))
(* -1 (+ 1 (/ 1 z)))
Outputs
(* -1 (/ (* x (- 1 (/ 1 (pow z 2)))) (+ 1 (/ 1 z))))
(/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))
(* -1 (/ (* x (- 1 (/ 1 (pow z 2)))) (+ 1 (/ 1 z))))
(/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))
(* -1 (/ (* x (- 1 (/ 1 (pow z 2)))) (+ 1 (/ 1 z))))
(/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))
(* -1 (/ (* x (- 1 (/ 1 (pow z 2)))) (+ 1 (/ 1 z))))
(/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))
(* -1 (/ (* x (- 1 (/ 1 (pow z 2)))) (+ 1 (/ 1 z))))
(/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))
(* -1 (/ (* x (- 1 (/ 1 (pow z 2)))) (+ 1 (/ 1 z))))
(/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))
(* -1 (/ (* x (- 1 (/ 1 (pow z 2)))) (+ 1 (/ 1 z))))
(/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))
(* -1 (/ (* x (- 1 (/ 1 (pow z 2)))) (+ 1 (/ 1 z))))
(/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))
(/ (* x (- (/ 1 (pow z 2)) 1)) (+ 1 (/ 1 z)))
(/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))
(/ (* x (- (/ 1 (pow z 2)) 1)) (+ 1 (/ 1 z)))
(/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))
(/ (* x (- (/ 1 (pow z 2)) 1)) (+ 1 (/ 1 z)))
(/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))
(/ (* x (- (/ 1 (pow z 2)) 1)) (+ 1 (/ 1 z)))
(/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))
(/ 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 (/ 1 (pow z 2))))
(-.f64 x (/.f64 x (*.f64 z z)))
(* x (- 1 (/ 1 (pow z 2))))
(-.f64 x (/.f64 x (*.f64 z z)))
(* x (- 1 (/ 1 (pow z 2))))
(-.f64 x (/.f64 x (*.f64 z z)))
(* x (- 1 (/ 1 (pow z 2))))
(-.f64 x (/.f64 x (*.f64 z z)))
(* x (- 1 (/ 1 (pow z 2))))
(-.f64 x (/.f64 x (*.f64 z z)))
(* x (- 1 (/ 1 (pow z 2))))
(-.f64 x (/.f64 x (*.f64 z z)))
(* x (- 1 (/ 1 (pow z 2))))
(-.f64 x (/.f64 x (*.f64 z z)))
(* x (- 1 (/ 1 (pow z 2))))
(-.f64 x (/.f64 x (*.f64 z z)))
(* -1 (* x (- (/ 1 (pow z 2)) 1)))
(-.f64 x (/.f64 x (*.f64 z z)))
(* -1 (* x (- (/ 1 (pow z 2)) 1)))
(-.f64 x (/.f64 x (*.f64 z z)))
(* -1 (* x (- (/ 1 (pow z 2)) 1)))
(-.f64 x (/.f64 x (*.f64 z z)))
(* -1 (* x (- (/ 1 (pow z 2)) 1)))
(-.f64 x (/.f64 x (*.f64 z z)))
(* -1 (/ x (pow z 2)))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 z z)))
(/ (- (* x (pow z 2)) x) (pow z 2))
(-.f64 x (/.f64 x (*.f64 z z)))
(/ (- (* x (pow z 2)) x) (pow z 2))
(-.f64 x (/.f64 x (*.f64 z z)))
(/ (- (* x (pow z 2)) x) (pow z 2))
(-.f64 x (/.f64 x (*.f64 z z)))
x
(+ x (* -1 (/ x (pow z 2))))
(-.f64 x (/.f64 x (*.f64 z z)))
(+ x (* -1 (/ x (pow z 2))))
(-.f64 x (/.f64 x (*.f64 z z)))
(+ x (* -1 (/ x (pow z 2))))
(-.f64 x (/.f64 x (*.f64 z z)))
x
(+ x (* -1 (/ x (pow z 2))))
(-.f64 x (/.f64 x (*.f64 z z)))
(+ x (* -1 (/ x (pow z 2))))
(-.f64 x (/.f64 x (*.f64 z z)))
(+ x (* -1 (/ x (pow z 2))))
(-.f64 x (/.f64 x (*.f64 z z)))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z 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 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)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 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 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 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)
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
(/ (- (* -1 z) 1) z)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))
(/ (- (* -1 z) 1) z)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))
(/ (- (* -1 z) 1) z)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 z)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))
(* -1 (+ 1 (/ 1 z)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))
(* -1 (+ 1 (/ 1 z)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 z)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))
(* -1 (+ 1 (/ 1 z)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))
(* -1 (+ 1 (/ 1 z)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))

eval137.0ms (1.7%)

Compiler

Compiled 14500 to 1419 computations (90.2% saved)

prune321.0ms (3.9%)

Pruning

12 alts after pruning (4 fresh and 8 done)

PrunedKeptTotal
New8242826
Fresh123
Picked145
Done044
Total82612838
Accuracy
100.0%
Counts
838 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶23.8%
(/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (/.f64 #s(literal -1 binary64) z))
✓87.1%
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
✓54.9%
(/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) z)
✓33.7%
(/.f64 (*.f64 x y) z)
▶28.4%
(/.f64 x z)
✓70.9%
(-.f64 (/.f64 x z) x)
▶36.8%
(*.f64 (/.f64 x z) y)
▶62.2%
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x z))
✓32.2%
(*.f64 x (/.f64 y z))
✓96.6%
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) z)))
✓70.9%
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))
✓45.9%
(neg.f64 x)
Compiler

Compiled 111 to 74 computations (33.3% saved)

simplify371.0ms (4.5%)

Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 z z)
✓cost-diff0
(/.f64 x (*.f64 z z))
✓cost-diff0
(-.f64 x (/.f64 x (*.f64 z z)))
✓cost-diff256
(/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (/.f64 #s(literal -1 binary64) z))
✓cost-diff0
(/.f64 x z)
✓cost-diff0
(/.f64 x z)
✓cost-diff0
(*.f64 (/.f64 x z) y)
✓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))
Rules
1920×sum4-define
1856×sum5-define
1476×fma-lowering-fma.f32
1476×fma-lowering-fma.f64
1358×fmm-def
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01460
13360
27260
316760
450355
5189354
6584254
0810254
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (- 1 z) (/ x z))
(- 1 z)
1
z
(/ x z)
x
(* (/ x z) y)
(/ x z)
x
z
y
(/ x z)
x
z
(/ (- x (/ x (* z z))) (/ -1 z))
(- x (/ x (* z z)))
x
(/ x (* z z))
(* z z)
z
(/ -1 z)
-1
Outputs
(* (- 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
(* (/ x z) y)
(/.f64 (*.f64 x y) z)
(/ x z)
(/.f64 x z)
x
z
y
(/ x z)
(/.f64 x z)
x
z
(/ (- x (/ x (* z z))) (/ -1 z))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) z))
(- x (/ x (* z z)))
(-.f64 x (/.f64 x (*.f64 z z)))
x
(/ x (* z z))
(/.f64 x (*.f64 z z))
(* z z)
(*.f64 z z)
z
(/ -1 z)
(/.f64 #s(literal -1 binary64) z)
-1
#s(literal -1 binary64)

localize103.0ms (1.3%)

Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 x (/.f64 x (*.f64 z z)))
✓accuracy100.0%
(*.f64 z z)
✓accuracy88.2%
(/.f64 x (*.f64 z z))
✓accuracy88.0%
(/.f64 (-.f64 x (/.f64 x (*.f64 z z))) (/.f64 #s(literal -1 binary64) z))
✓accuracy100.0%
(/.f64 x z)
✓accuracy100.0%
(/.f64 x z)
✓accuracy92.8%
(*.f64 (/.f64 x z) y)
✓accuracy100.0%
(/.f64 x z)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) z)
✓accuracy90.2%
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x z))
Results
61.0ms256×0valid
Compiler

Compiled 68 to 15 computations (77.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 7.0ms (43.9% of total)
ival-mult: 5.0ms (31.4% of total)
ival-sub: 3.0ms (18.8% of total)
const: 1.0ms (6.3% of total)
backward-pass: 0.0ms (0% of total)

series8.0ms (0.1%)

Counts
8 → 180
Calls
Call 1
Inputs
#<alt (* (- 1 z) (/ x z))>
#<alt (- 1 z)>
#<alt (/ x z)>
#<alt (* (/ x z) y)>
#<alt (/ (- x (/ x (* z z))) (/ -1 z))>
#<alt (- x (/ x (* z z)))>
#<alt (/ x (* z z))>
#<alt (* z z)>
Outputs
#<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 (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (* -1 (* x (* z (- 1 (/ 1 (pow z 2))))))>
#<alt (* -1 (* x (* z (- 1 (/ 1 (pow z 2))))))>
#<alt (* -1 (* x (* z (- 1 (/ 1 (pow z 2))))))>
#<alt (* -1 (* x (* z (- 1 (/ 1 (pow z 2))))))>
#<alt (* -1 (* x (* z (- 1 (/ 1 (pow z 2))))))>
#<alt (* -1 (* x (* z (- 1 (/ 1 (pow z 2))))))>
#<alt (* -1 (* x (* z (- 1 (/ 1 (pow z 2))))))>
#<alt (* -1 (* x (* z (- 1 (/ 1 (pow z 2))))))>
#<alt (* x (* z (- (/ 1 (pow z 2)) 1)))>
#<alt (* x (* z (- (/ 1 (pow z 2)) 1)))>
#<alt (* x (* z (- (/ 1 (pow z 2)) 1)))>
#<alt (* x (* z (- (/ 1 (pow z 2)) 1)))>
#<alt (/ x z)>
#<alt (/ (+ x (* -1 (* x (pow z 2)))) z)>
#<alt (/ (+ x (* -1 (* x (pow z 2)))) z)>
#<alt (/ (+ x (* -1 (* x (pow z 2)))) z)>
#<alt (* -1 (* x z))>
#<alt (* z (+ (* -1 x) (/ x (pow z 2))))>
#<alt (* z (+ (* -1 x) (/ x (pow z 2))))>
#<alt (* z (+ (* -1 x) (/ x (pow z 2))))>
#<alt (* -1 (* x z))>
#<alt (* -1 (* z (+ x (* -1 (/ x (pow z 2))))))>
#<alt (* -1 (* z (+ x (* -1 (/ x (pow z 2))))))>
#<alt (* -1 (* z (+ x (* -1 (/ x (pow z 2))))))>
#<alt (* x (- 1 (/ 1 (pow z 2))))>
#<alt (* x (- 1 (/ 1 (pow z 2))))>
#<alt (* x (- 1 (/ 1 (pow z 2))))>
#<alt (* x (- 1 (/ 1 (pow z 2))))>
#<alt (* x (- 1 (/ 1 (pow z 2))))>
#<alt (* x (- 1 (/ 1 (pow z 2))))>
#<alt (* x (- 1 (/ 1 (pow z 2))))>
#<alt (* x (- 1 (/ 1 (pow z 2))))>
#<alt (* -1 (* x (- (/ 1 (pow z 2)) 1)))>
#<alt (* -1 (* x (- (/ 1 (pow z 2)) 1)))>
#<alt (* -1 (* x (- (/ 1 (pow z 2)) 1)))>
#<alt (* -1 (* x (- (/ 1 (pow z 2)) 1)))>
#<alt (* -1 (/ x (pow z 2)))>
#<alt (/ (- (* x (pow z 2)) x) (pow z 2))>
#<alt (/ (- (* x (pow z 2)) x) (pow z 2))>
#<alt (/ (- (* x (pow z 2)) x) (pow z 2))>
#<alt x>
#<alt (+ x (* -1 (/ x (pow z 2))))>
#<alt (+ x (* -1 (/ x (pow z 2))))>
#<alt (+ x (* -1 (/ x (pow z 2))))>
#<alt x>
#<alt (+ x (* -1 (/ x (pow z 2))))>
#<alt (+ x (* -1 (/ x (pow z 2))))>
#<alt (+ x (* -1 (/ x (pow z 2))))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (/ x (pow z 2))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
Calls

45 calls:

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

rewrite240.0ms (2.9%)

Algorithm
1×batch-egg-rewrite
Rules
4216×*-lowering-*.f32
4216×*-lowering-*.f64
3820×/-lowering-/.f32
3820×/-lowering-/.f64
1132×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01440
18339
271437
0853237
Stop Event
1×iter limit
1×node limit
Counts
8 → 518
Calls
Call 1
Inputs
(* (- 1 z) (/ x z))
(- 1 z)
(/ x z)
(* (/ x z) y)
(/ (- x (/ x (* z z))) (/ -1 z))
(- x (/ x (* z z)))
(/ x (* z z))
(* z z)
Outputs
(+.f64 (/.f64 x z) (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) z)) z))
(+.f64 (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) z)) z) (/.f64 x z))
(-.f64 (/.f64 x z) (/.f64 z (/.f64 z x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z)))) (/.f64 z x)) (/.f64 (/.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z)))) (/.f64 z x)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)) (/.f64 z x)) (/.f64 (/.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) z)) (/.f64 z x)))
(fma.f64 #s(literal 1 binary64) (/.f64 x z) (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) z)) z))
(fma.f64 x (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) z)) z))
(fma.f64 (/.f64 x z) #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) z)) z))
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) z)) z))
(fma.f64 (/.f64 #s(literal 1 binary64) z) x (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) z)) z))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) (-.f64 #s(literal 1 binary64) z)))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 0 binary64) (/.f64 x z))))
(neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (/.f64 #s(literal -1 binary64) z)))
(neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (-.f64 #s(literal 0 binary64) z)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) z))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z))) (/.f64 x z)) (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) z)) x) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z)))) (*.f64 x (-.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 x (-.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z))) (/.f64 #s(literal -1 binary64) z)) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) z))) (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z))) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 z x))))
(/.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 z x))
(/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)))
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) z) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 (-.f64 #s(literal 1 binary64) z) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) z))) (/.f64 x z)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 (*.f64 z (+.f64 #s(literal 1 binary64) z)) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) z)
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(*.f64 (*.f64 z z) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 z z)))
(*.f64 (-.f64 #s(literal 0 binary64) z) (-.f64 #s(literal 0 binary64) z))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) #s(literal -1 binary64))
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)))

simplify160.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
1976×fnmadd-define
1944×*-lowering-*.f32
1944×*-lowering-*.f64
1632×fmsub-define
1588×fnmsub-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0511033
1135912
2371786
31025786
43319786
08134786
Stop Event
1×iter limit
1×node limit
Counts
180 → 180
Calls
Call 1
Inputs
(/ 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)
(/ (* 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)
(* -1 (* x (* z (- 1 (/ 1 (pow z 2))))))
(* -1 (* x (* z (- 1 (/ 1 (pow z 2))))))
(* -1 (* x (* z (- 1 (/ 1 (pow z 2))))))
(* -1 (* x (* z (- 1 (/ 1 (pow z 2))))))
(* -1 (* x (* z (- 1 (/ 1 (pow z 2))))))
(* -1 (* x (* z (- 1 (/ 1 (pow z 2))))))
(* -1 (* x (* z (- 1 (/ 1 (pow z 2))))))
(* -1 (* x (* z (- 1 (/ 1 (pow z 2))))))
(* x (* z (- (/ 1 (pow z 2)) 1)))
(* x (* z (- (/ 1 (pow z 2)) 1)))
(* x (* z (- (/ 1 (pow z 2)) 1)))
(* x (* z (- (/ 1 (pow z 2)) 1)))
(/ x z)
(/ (+ x (* -1 (* x (pow z 2)))) z)
(/ (+ x (* -1 (* x (pow z 2)))) z)
(/ (+ x (* -1 (* x (pow z 2)))) z)
(* -1 (* x z))
(* z (+ (* -1 x) (/ x (pow z 2))))
(* z (+ (* -1 x) (/ x (pow z 2))))
(* z (+ (* -1 x) (/ x (pow z 2))))
(* -1 (* x z))
(* -1 (* z (+ x (* -1 (/ x (pow z 2))))))
(* -1 (* z (+ x (* -1 (/ x (pow z 2))))))
(* -1 (* z (+ x (* -1 (/ x (pow z 2))))))
(* x (- 1 (/ 1 (pow z 2))))
(* x (- 1 (/ 1 (pow z 2))))
(* x (- 1 (/ 1 (pow z 2))))
(* x (- 1 (/ 1 (pow z 2))))
(* x (- 1 (/ 1 (pow z 2))))
(* x (- 1 (/ 1 (pow z 2))))
(* x (- 1 (/ 1 (pow z 2))))
(* x (- 1 (/ 1 (pow z 2))))
(* -1 (* x (- (/ 1 (pow z 2)) 1)))
(* -1 (* x (- (/ 1 (pow z 2)) 1)))
(* -1 (* x (- (/ 1 (pow z 2)) 1)))
(* -1 (* x (- (/ 1 (pow z 2)) 1)))
(* -1 (/ x (pow z 2)))
(/ (- (* x (pow z 2)) x) (pow z 2))
(/ (- (* x (pow z 2)) x) (pow z 2))
(/ (- (* x (pow z 2)) x) (pow z 2))
x
(+ x (* -1 (/ x (pow z 2))))
(+ x (* -1 (/ x (pow z 2))))
(+ x (* -1 (/ x (pow z 2))))
x
(+ x (* -1 (/ x (pow z 2))))
(+ x (* -1 (/ x (pow z 2))))
(+ x (* -1 (/ x (pow z 2))))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(/ x (pow z 2))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
Outputs
(/ x 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)) 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)
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)
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(* -1 (* x (* z (- 1 (/ 1 (pow z 2))))))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) z))
(* -1 (* x (* z (- 1 (/ 1 (pow z 2))))))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) z))
(* -1 (* x (* z (- 1 (/ 1 (pow z 2))))))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) z))
(* -1 (* x (* z (- 1 (/ 1 (pow z 2))))))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) z))
(* -1 (* x (* z (- 1 (/ 1 (pow z 2))))))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) z))
(* -1 (* x (* z (- 1 (/ 1 (pow z 2))))))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) z))
(* -1 (* x (* z (- 1 (/ 1 (pow z 2))))))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) z))
(* -1 (* x (* z (- 1 (/ 1 (pow z 2))))))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) z))
(* x (* z (- (/ 1 (pow z 2)) 1)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) z))
(* x (* z (- (/ 1 (pow z 2)) 1)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) z))
(* x (* z (- (/ 1 (pow z 2)) 1)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) z))
(* x (* z (- (/ 1 (pow z 2)) 1)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) z))
(/ x z)
(/.f64 x z)
(/ (+ x (* -1 (* x (pow z 2)))) z)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) z))
(/ (+ x (* -1 (* x (pow z 2)))) z)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) z))
(/ (+ x (* -1 (* x (pow z 2)))) z)
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) z))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(* z (+ (* -1 x) (/ x (pow z 2))))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) z))
(* z (+ (* -1 x) (/ x (pow z 2))))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) z))
(* z (+ (* -1 x) (/ x (pow z 2))))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) z))
(* -1 (* x z))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(* -1 (* z (+ x (* -1 (/ x (pow z 2))))))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) z))
(* -1 (* z (+ x (* -1 (/ x (pow z 2))))))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) z))
(* -1 (* z (+ x (* -1 (/ x (pow z 2))))))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) z) z))
(* x (- 1 (/ 1 (pow z 2))))
(-.f64 x (/.f64 x (*.f64 z z)))
(* x (- 1 (/ 1 (pow z 2))))
(-.f64 x (/.f64 x (*.f64 z z)))
(* x (- 1 (/ 1 (pow z 2))))
(-.f64 x (/.f64 x (*.f64 z z)))
(* x (- 1 (/ 1 (pow z 2))))
(-.f64 x (/.f64 x (*.f64 z z)))
(* x (- 1 (/ 1 (pow z 2))))
(-.f64 x (/.f64 x (*.f64 z z)))
(* x (- 1 (/ 1 (pow z 2))))
(-.f64 x (/.f64 x (*.f64 z z)))
(* x (- 1 (/ 1 (pow z 2))))
(-.f64 x (/.f64 x (*.f64 z z)))
(* x (- 1 (/ 1 (pow z 2))))
(-.f64 x (/.f64 x (*.f64 z z)))
(* -1 (* x (- (/ 1 (pow z 2)) 1)))
(-.f64 x (/.f64 x (*.f64 z z)))
(* -1 (* x (- (/ 1 (pow z 2)) 1)))
(-.f64 x (/.f64 x (*.f64 z z)))
(* -1 (* x (- (/ 1 (pow z 2)) 1)))
(-.f64 x (/.f64 x (*.f64 z z)))
(* -1 (* x (- (/ 1 (pow z 2)) 1)))
(-.f64 x (/.f64 x (*.f64 z z)))
(* -1 (/ x (pow z 2)))
(-.f64 #s(literal 0 binary64) (/.f64 x (*.f64 z z)))
(/ (- (* x (pow z 2)) x) (pow z 2))
(-.f64 x (/.f64 x (*.f64 z z)))
(/ (- (* x (pow z 2)) x) (pow z 2))
(-.f64 x (/.f64 x (*.f64 z z)))
(/ (- (* x (pow z 2)) x) (pow z 2))
(-.f64 x (/.f64 x (*.f64 z z)))
x
(+ x (* -1 (/ x (pow z 2))))
(-.f64 x (/.f64 x (*.f64 z z)))
(+ x (* -1 (/ x (pow z 2))))
(-.f64 x (/.f64 x (*.f64 z z)))
(+ x (* -1 (/ x (pow z 2))))
(-.f64 x (/.f64 x (*.f64 z z)))
x
(+ x (* -1 (/ x (pow z 2))))
(-.f64 x (/.f64 x (*.f64 z z)))
(+ x (* -1 (/ x (pow z 2))))
(-.f64 x (/.f64 x (*.f64 z z)))
(+ x (* -1 (/ x (pow z 2))))
(-.f64 x (/.f64 x (*.f64 z z)))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(/ x (pow z 2))
(/.f64 x (*.f64 z z))
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)

eval124.0ms (1.5%)

Compiler

Compiled 14924 to 1412 computations (90.5% saved)

prune97.0ms (1.2%)

Pruning

12 alts after pruning (1 fresh and 11 done)

PrunedKeptTotal
New8091810
Fresh000
Picked134
Done088
Total81012822
Accuracy
100.0%
Counts
822 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.4%
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))
✓87.1%
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
✓54.9%
(/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) z)
✓33.7%
(/.f64 (*.f64 x y) z)
✓28.4%
(/.f64 x z)
✓70.9%
(-.f64 (/.f64 x z) x)
✓36.8%
(*.f64 (/.f64 x z) y)
✓62.2%
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x z))
✓32.2%
(*.f64 x (/.f64 y z))
✓96.6%
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) z)))
✓70.9%
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))
✓45.9%
(neg.f64 x)
Compiler

Compiled 245 to 121 computations (50.6% saved)

regimes40.0ms (0.5%)

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

4 calls:

19.0ms
(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
8.0ms
x
6.0ms
z
6.0ms
y
Results
AccuracySegmentsBranch
99.9%2x
96.6%1y
99.9%3z
98.8%2(/.f64 (*.f64 x (+.f64 (-.f64 y z) #s(literal 1 binary64))) z)
Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes11.0ms (0.1%)

Counts
14 → 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 (*.f64 x y) z)
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x z))
(/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) z)
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))
(*.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))
Outputs
(*.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 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) z)))
Calls

2 calls:

5.0ms
x
5.0ms
z
Results
AccuracySegmentsBranch
99.9%3z
96.6%1x
Compiler

Compiled 8 to 6 computations (25% saved)

regimes6.0ms (0.1%)

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 (*.f64 x y) z)
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x z))
(/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) z)
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) z)))
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

1 calls:

5.0ms
z
Results
AccuracySegmentsBranch
99.9%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes43.0ms (0.5%)

Counts
12 → 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 (*.f64 x y) z)
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x z))
(/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) z)
(/.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1 binary64) x))
Outputs
(neg.f64 x)
(/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) z)
(neg.f64 x)
Calls

3 calls:

34.0ms
z
4.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
88.0%3y
74.3%3x
89.5%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes23.0ms (0.3%)

Counts
10 → 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 (*.f64 x y) z)
(*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 x z))
Outputs
(*.f64 y (/.f64 x z))
(-.f64 (/.f64 x z) x)
(*.f64 y (/.f64 x z))
Calls

2 calls:

4.0ms
z
4.0ms
y
Results
AccuracySegmentsBranch
88.0%3y
75.5%3z
Compiler

Compiled 8 to 6 computations (25% saved)

regimes9.0ms (0.1%)

Counts
6 → 4
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)
(neg.f64 x)
Calls

3 calls:

3.0ms
x
3.0ms
z
3.0ms
y
Results
AccuracySegmentsBranch
50.9%3x
74.5%4z
66.5%3y
Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.1%)

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:

5.0ms
z
Results
AccuracySegmentsBranch
72.3%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
70.5%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:

2.0ms
z
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
45.9%1x
45.9%1y
45.9%1z
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch13.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
8.734420747764722e-21
1.7268600743623404e-19
Results
7.0ms112×0valid
Compiler

Compiled 200 to 139 computations (30.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 1.0ms (30.5% of total)
ival-div: 1.0ms (30.5% of total)
ival-add: 1.0ms (30.5% of total)
ival-mult: 1.0ms (30.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch68.0ms (0.8%)

Algorithm
2×binary-search
Stop Event
1×predicate-same
1×narrow-enough
Steps
TimeLeftRight
49.0ms
1.2813908068636355e-30
1.2502902104714954e-18
17.0ms
-1.336906649182275e+50
-1.0387309408233364e+36
Results
22.0ms320×0valid
Compiler

Compiled 538 to 373 computations (30.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 3.0ms (29.9% of total)
ival-sub: 2.0ms (19.9% of total)
ival-div: 2.0ms (19.9% of total)
ival-add: 2.0ms (19.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch30.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×predicate-same
1×narrow-enough
Steps
TimeLeftRight
16.0ms
1.2813908068636355e-30
1.2502902104714954e-18
12.0ms
-1.3187251126156692e-12
-3.68881691323328e-17
Results
22.0ms192×0valid
Compiler

Compiled 306 to 217 computations (29.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sub: 11.0ms (73% of total)
ival-div: 1.0ms (6.6% of total)
ival-add: 1.0ms (6.6% of total)
ival-mult: 1.0ms (6.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch28.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
15.0ms
9.711305953607692e+39
9.610329439080792e+45
11.0ms
-2.4705182233648934e+51
-1.336906649182275e+50
Results
17.0ms256×0valid
Compiler

Compiled 290 to 221 computations (23.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-sub: 2.0ms (27.4% of total)
ival-div: 2.0ms (27.4% of total)
ival-mult: 2.0ms (27.4% of total)
ival-add: 1.0ms (13.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
5.0ms
3.409079083274472e+34
3.9546001785439446e+34
16.0ms
-7.026470602069791e+43
-2.5823228840656268e+38
Results
14.0ms192×0valid
Compiler

Compiled 234 to 157 computations (32.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 3.0ms (40.2% of total)
ival-div: 2.0ms (26.8% of total)
ival-sub: 1.0ms (13.4% of total)
ival-mult: 1.0ms (13.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch47.0ms (0.6%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
8.819843130690174e-14
280930313345.8039
12.0ms
2.5204319914436796e-242
1.5291475052456162e-239
12.0ms
-2.4705182233648934e+51
-1.336906649182275e+50
Results
31.0ms416×0valid
Compiler

Compiled 394 to 288 computations (26.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-add: 4.0ms (28.6% of total)
ival-sub: 3.0ms (21.5% of total)
ival-div: 3.0ms (21.5% of total)
ival-mult: 3.0ms (21.5% of total)
const: 1.0ms (7.2% of total)
backward-pass: 0.0ms (0% of total)

bsearch47.0ms (0.6%)

Algorithm
3×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
8.819843130690174e-14
280930313345.8039
12.0ms
-2.291159937428253e-124
-2.1661479422037e-128
12.0ms
-2.4705182233648934e+51
-1.336906649182275e+50
Results
29.0ms416×0valid
Compiler

Compiled 394 to 288 computations (26.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-sub: 3.0ms (23.2% of total)
ival-div: 3.0ms (23.2% of total)
ival-add: 3.0ms (23.2% of total)
ival-mult: 3.0ms (23.2% of total)
const: 1.0ms (7.7% of total)
backward-pass: 0.0ms (0% of total)

bsearch46.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
28.0ms
8.819843130690174e-14
280930313345.8039
15.0ms
-5562877.648838677
-7.518754940702382e-5
Results
32.0ms336×0valid
Compiler

Compiled 291 to 223 computations (23.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-div: 14.0ms (68.7% of total)
ival-sub: 2.0ms (9.8% of total)
ival-add: 2.0ms (9.8% of total)
ival-mult: 2.0ms (9.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify46.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
198×distribute-lft-neg-in_binary64
166×unsub-neg_binary64
130×neg-mul-1_binary64
104×neg-sub0_binary64
82×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066175
1101175
2116175
3129175
4148175
5180175
6218175
7275175
8344175
9401175
10471175
11556175
12641175
13722175
14745175
15751175
16752175
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 8108290774287987/664613997892457936451903530140172288 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) y) z))))
(if (<=.f64 z #s(literal -1799999999999999869753613647685353472 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) z))) (if (<=.f64 z #s(literal 1298074214633707/2596148429267413814265248164610048 binary64)) (*.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) (/.f64 x z)) (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) z)))))
(if (<=.f64 z #s(literal -7707315649387635/40564819207303340847894502572032 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) z))) (if (<=.f64 z #s(literal 2076918743413931/41538374868278621028243970633760768 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 -279999999999999979824980686778662580981931284889600 binary64)) (neg.f64 x) (if (<=.f64 z #s(literal 22999999999999999368889463806016341671936 binary64)) (/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) z) (neg.f64 x)))
(if (<=.f64 y #s(literal -269999999999999999739742030226694783107072 binary64)) (*.f64 y (/.f64 x z)) (if (<=.f64 y #s(literal 39000000000000001912659274618634240 binary64)) (-.f64 (/.f64 x z) x) (*.f64 y (/.f64 x z))))
(if (<=.f64 z #s(literal -134999999999999999915595568404392197387210052337664 binary64)) (neg.f64 x) (if (<=.f64 z #s(literal 4384389828021945/60060134630437601839769261564074054890494076748396028293423195126101052500953853663579281588642651046788432153477643700953461525330417946094091687253119241280317815380727220618693026799113163298559838143343221009234642712357476936954116911097916781328596992 binary64)) (*.f64 y (/.f64 x z)) (if (<=.f64 z #s(literal 1 binary64)) (/.f64 x z) (neg.f64 x))))
(if (<=.f64 z #s(literal -159999999999999991438444311607708691149958636634112 binary64)) (neg.f64 x) (if (<=.f64 z #s(literal -6706881651069515/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 binary64)) (*.f64 x (/.f64 y z)) (if (<=.f64 z #s(literal 1 binary64)) (/.f64 x z) (neg.f64 x))))
(if (<=.f64 z #s(literal -1 binary64)) (neg.f64 x) (if (<=.f64 z #s(literal 1 binary64)) (/.f64 x z) (neg.f64 x)))
(neg.f64 x)
Outputs
(if (<=.f64 x #s(literal 8108290774287987/664613997892457936451903530140172288 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) y) z))))
(if (<=.f64 x #s(literal 8108290774287987/664613997892457936451903530140172288 binary64)) (/.f64 (*.f64 x (+.f64 (-.f64 y z) #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 -1799999999999999869753613647685353472 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) z))) (if (<=.f64 z #s(literal 1298074214633707/2596148429267413814265248164610048 binary64)) (*.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) (/.f64 x z)) (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) z)))))
(if (<=.f64 z #s(literal -1799999999999999869753613647685353472 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) z))) (if (<=.f64 z #s(literal 1298074214633707/2596148429267413814265248164610048 binary64)) (*.f64 (+.f64 (-.f64 y z) #s(literal 1 binary64)) (/.f64 x z)) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) z)))))
(if (<=.f64 z #s(literal -7707315649387635/40564819207303340847894502572032 binary64)) (*.f64 x (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) z))) (if (<=.f64 z #s(literal 2076918743413931/41538374868278621028243970633760768 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 -7707315649387635/40564819207303340847894502572032 binary64)) (*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) z))) (if (<=.f64 z #s(literal 2076918743413931/41538374868278621028243970633760768 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 -279999999999999979824980686778662580981931284889600 binary64)) (neg.f64 x) (if (<=.f64 z #s(literal 22999999999999999368889463806016341671936 binary64)) (/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) z) (neg.f64 x)))
(if (<=.f64 z #s(literal -279999999999999979824980686778662580981931284889600 binary64)) (-.f64 #s(literal 0 binary64) x) (if (<=.f64 z #s(literal 22999999999999999368889463806016341671936 binary64)) (/.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) z) (-.f64 #s(literal 0 binary64) x)))
(if (<=.f64 y #s(literal -269999999999999999739742030226694783107072 binary64)) (*.f64 y (/.f64 x z)) (if (<=.f64 y #s(literal 39000000000000001912659274618634240 binary64)) (-.f64 (/.f64 x z) x) (*.f64 y (/.f64 x z))))
(if (<=.f64 z #s(literal -134999999999999999915595568404392197387210052337664 binary64)) (neg.f64 x) (if (<=.f64 z #s(literal 4384389828021945/60060134630437601839769261564074054890494076748396028293423195126101052500953853663579281588642651046788432153477643700953461525330417946094091687253119241280317815380727220618693026799113163298559838143343221009234642712357476936954116911097916781328596992 binary64)) (*.f64 y (/.f64 x z)) (if (<=.f64 z #s(literal 1 binary64)) (/.f64 x z) (neg.f64 x))))
(if (<=.f64 z #s(literal -134999999999999999915595568404392197387210052337664 binary64)) (-.f64 #s(literal 0 binary64) x) (if (<=.f64 z #s(literal 4384389828021945/60060134630437601839769261564074054890494076748396028293423195126101052500953853663579281588642651046788432153477643700953461525330417946094091687253119241280317815380727220618693026799113163298559838143343221009234642712357476936954116911097916781328596992 binary64)) (*.f64 y (/.f64 x z)) (if (<=.f64 z #s(literal 1 binary64)) (/.f64 x z) (-.f64 #s(literal 0 binary64) x))))
(if (<=.f64 z #s(literal -159999999999999991438444311607708691149958636634112 binary64)) (neg.f64 x) (if (<=.f64 z #s(literal -6706881651069515/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 binary64)) (*.f64 x (/.f64 y z)) (if (<=.f64 z #s(literal 1 binary64)) (/.f64 x z) (neg.f64 x))))
(if (<=.f64 z #s(literal -159999999999999991438444311607708691149958636634112 binary64)) (-.f64 #s(literal 0 binary64) x) (if (<=.f64 z #s(literal -6706881651069515/3048582568667961163458591044719888970457615373696260889510895468384152088691177363398736428772941378085768487423248655171335913749304966119424 binary64)) (*.f64 x (/.f64 y z)) (if (<=.f64 z #s(literal 1 binary64)) (/.f64 x z) (-.f64 #s(literal 0 binary64) x))))
(if (<=.f64 z #s(literal -1 binary64)) (neg.f64 x) (if (<=.f64 z #s(literal 1 binary64)) (/.f64 x z) (neg.f64 x)))
(if (<=.f64 z #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x) (if (<=.f64 z #s(literal 1 binary64)) (/.f64 x z) (-.f64 #s(literal 0 binary64) x)))
(neg.f64 x)
(-.f64 #s(literal 0 binary64) x)

soundness1.8s (22.1%)

Rules
4746×*-lowering-*.f32
4746×*-lowering-*.f64
4544×/-lowering-/.f32
4544×/-lowering-/.f64
3744×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03303699
111283109
240322846
092832846
01191475
14211328
214101188
348871188
081471188
089
1248
2588
31598
44168
511118
630178
762808
082008
024107
118178
2196978
0892378
01348
19346
284446
0880346
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 550 to 300 computations (45.5% saved)

preprocess109.0ms (1.3%)

Remove

(negabs x)

Compiler

Compiled 674 to 262 computations (61.1% saved)

end0.0ms (0%)

Profiling

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