Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, C

Time bar (total: 10.1s)

analyze314.0ms (3.1%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
0%0%99.8%0.2%0%0%0%1
0%0%99.8%0.2%0%0%0%2
0%0%99.8%0.2%0%0%0%3
0%0%99.8%0.2%0%0%0%4
0%0%99.8%0.2%0%0%0%5
0%0%99.8%0.2%0%0%0%6
0%0%99.8%0.2%0%0%0%7
50%49.9%49.9%0.2%0%0%0%8
50%49.9%49.9%0.2%0%0%0%9
50%49.9%49.9%0.2%0%0%0%10
50%49.9%49.9%0.2%0%0%0%11
75%74.9%25%0.2%0%0%0%12
Compiler

Compiled 16 to 11 computations (31.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 155.0ms
ival-div: 81.0ms (52.2% of total)
ival-sub: 56.0ms (36.1% of total)
ival-mult: 15.0ms (9.7% of total)
const: 3.0ms (1.9% of total)
backward-pass: 1.0ms (0.6% of total)

sample1.2s (12.2%)

Results
970.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 602.0ms
ival-sub: 337.0ms (55.9% of total)
ival-div: 193.0ms (32% of total)
ival-mult: 57.0ms (9.5% of total)
const: 12.0ms (2% of total)
backward-pass: 4.0ms (0.7% of total)
Bogosity

preprocess181.0ms (1.8%)

Algorithm
2×egg-herbie
Rules
2474×fnmadd-define
2006×fmsub-define
1896×fnmsub-define
1872×fma-define
1712×sum4-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055175
1128171
2325166
31298165
44666165
01011
11711
23411
38111
417011
536711
692611
7311011
8464811
9692011
10719711
11723711
12732511
13734111
0734111
Stop Event
1×iter limit
1×saturated
1×node limit
Calls
Call 1
Inputs
(* x (- (/ y z) (/ t (- 1 z))))
Outputs
(* x (- (/ y z) (/ t (- 1 z))))
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
Call 2
Inputs
(* x (- (/ y z) (/ t (- 1 z))))
(* (neg x) (- (/ y z) (/ t (- 1 z))))
(* x (- (/ (neg y) z) (/ t (- 1 z))))
(* x (- (/ y (neg z)) (/ t (- 1 (neg z)))))
(* x (- (/ y z) (/ (neg t) (- 1 z))))
(neg (* (neg x) (- (/ y z) (/ t (- 1 z)))))
(neg (* x (- (/ (neg y) z) (/ t (- 1 z)))))
(neg (* x (- (/ y (neg z)) (/ t (- 1 (neg z))))))
(neg (* x (- (/ y z) (/ (neg t) (- 1 z)))))
(* y (- (/ x z) (/ t (- 1 z))))
(* z (- (/ y x) (/ t (- 1 x))))
(* t (- (/ y z) (/ x (- 1 z))))
(* x (- (/ z y) (/ t (- 1 y))))
(* x (- (/ t z) (/ y (- 1 z))))
(* x (- (/ y t) (/ z (- 1 t))))
Outputs
(* x (- (/ y z) (/ t (- 1 z))))
(* x (+ (/ y z) (/ t (+ z -1))))
(* (neg x) (- (/ y z) (/ t (- 1 z))))
(* x (- (/ t (- 1 z)) (/ y z)))
(* x (- (/ (neg y) z) (/ t (- 1 z))))
(* x (- (/ t (+ z -1)) (/ y z)))
(* x (- (/ y (neg z)) (/ t (- 1 (neg z)))))
(* x (- (/ t (- -1 z)) (/ y z)))
(* x (- (/ y z) (/ (neg t) (- 1 z))))
(* x (+ (/ y z) (/ t (- 1 z))))
(neg (* (neg x) (- (/ y z) (/ t (- 1 z)))))
(* x (+ (/ y z) (/ t (+ z -1))))
(neg (* x (- (/ (neg y) z) (/ t (- 1 z)))))
(* x (+ (/ y z) (/ t (- 1 z))))
(neg (* x (- (/ y (neg z)) (/ t (- 1 (neg z))))))
(* x (+ (/ y z) (/ t (+ z 1))))
(neg (* x (- (/ y z) (/ (neg t) (- 1 z)))))
(* x (- (/ t (+ z -1)) (/ y z)))
(* y (- (/ x z) (/ t (- 1 z))))
(* y (+ (/ x z) (/ t (+ z -1))))
(* z (- (/ y x) (/ t (- 1 x))))
(* z (+ (/ y x) (/ t (+ x -1))))
(* t (- (/ y z) (/ x (- 1 z))))
(* t (+ (/ y z) (/ x (+ z -1))))
(* x (- (/ z y) (/ t (- 1 y))))
(* x (- (/ t z) (/ y (- 1 z))))
(* x (+ (/ t z) (/ y (+ z -1))))
(* x (- (/ y t) (/ z (- 1 t))))
(* x (+ (/ y t) (/ z (+ t -1))))
Symmetry

(negabs x)

explain113.0ms (1.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
90-0-(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
00-0-x
00-0-(/.f64 t (-.f64 #s(literal 1 binary64) z))
00-0-y
00-0-(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))
00-0-(/.f64 y z)
00-0-z
00-0-t
00-0-#s(literal 1 binary64)
00-0-(-.f64 #s(literal 1 binary64) z)
Results
75.0ms512×0valid
Compiler

Compiled 97 to 32 computations (67% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-div: 10.0ms (49.4% of total)
ival-sub: 5.0ms (24.7% of total)
ival-mult: 4.0ms (19.8% of total)
const: 1.0ms (4.9% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 15 to 10 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶96.5%
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify116.0ms (1.1%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 t (-.f64 #s(literal 1 binary64) z))
✓cost-diff0
(/.f64 y z)
✓cost-diff0
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))
✓cost-diff0
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
Rules
2474×fnmadd-define
1872×fma-define
1712×sum4-define
1308×sum3-define
1184×fmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
11736
23436
38136
417036
536736
692636
7311036
8464836
9692036
10719736
11723736
12732536
13734136
0734136
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* x (- (/ y z) (/ t (- 1 z))))
x
(- (/ y z) (/ t (- 1 z)))
(/ y z)
y
z
(/ t (- 1 z))
t
(- 1 z)
1
Outputs
(* x (- (/ y z) (/ t (- 1 z))))
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
x
(- (/ y z) (/ t (- 1 z)))
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))
(/ y z)
(/.f64 y z)
y
z
(/ t (- 1 z))
(/.f64 t (-.f64 #s(literal 1 binary64) z))
t
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)

localize55.0ms (0.5%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) z)
✓accuracy100.0%
(/.f64 t (-.f64 #s(literal 1 binary64) z))
✓accuracy100.0%
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))
✓accuracy96.5%
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
Results
38.0ms256×0valid
Compiler

Compiled 41 to 11 computations (73.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (43.5% of total)
ival-sub: 3.0ms (32.6% of total)
ival-mult: 2.0ms (21.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series15.0ms (0.1%)

Counts
5 → 144
Calls
Call 1
Inputs
#<alt (* x (- (/ y z) (/ t (- 1 z))))>
#<alt (- (/ y z) (/ t (- 1 z)))>
#<alt (/ y z)>
#<alt (/ t (- 1 z))>
#<alt (- 1 z)>
Outputs
#<alt (* x (- (/ y z) (/ t (- 1 z))))>
#<alt (* x (- (/ y z) (/ t (- 1 z))))>
#<alt (* x (- (/ y z) (/ t (- 1 z))))>
#<alt (* x (- (/ y z) (/ t (- 1 z))))>
#<alt (* x (- (/ y z) (/ t (- 1 z))))>
#<alt (* x (- (/ y z) (/ t (- 1 z))))>
#<alt (* x (- (/ y z) (/ t (- 1 z))))>
#<alt (* x (- (/ y z) (/ t (- 1 z))))>
#<alt (* x (- (/ y z) (/ t (- 1 z))))>
#<alt (* x (- (/ y z) (/ t (- 1 z))))>
#<alt (* x (- (/ y z) (/ t (- 1 z))))>
#<alt (* x (- (/ y z) (/ t (- 1 z))))>
#<alt (* -1 (/ (* t x) (- 1 z)))>
#<alt (+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z))>
#<alt (+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z))>
#<alt (+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z))>
#<alt (/ (* x y) z)>
#<alt (* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z)))>
#<alt (* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z)))>
#<alt (* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z)))>
#<alt (/ (* x y) z)>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z))))))>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z))))))>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z))))))>
#<alt (/ (* x y) z)>
#<alt (/ (+ (* -1 (* t (* x z))) (* x y)) z)>
#<alt (/ (+ (* x y) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))) z)>
#<alt (/ (+ (* x y) (* z (+ (* -1 (* t x)) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))))) z)>
#<alt (/ (* x (- y (* -1 t))) z)>
#<alt (/ (+ (* x (- y (* -1 t))) (/ (* t x) z)) z)>
#<alt (/ (+ (* x (- y (* -1 t))) (+ (/ (* t x) z) (/ (* t x) (pow z 2)))) z)>
#<alt (/ (+ (* x (- y (* -1 t))) (+ (/ (* t x) z) (+ (/ (* t x) (pow z 2)) (/ (* t x) (pow z 3))))) z)>
#<alt (* -1 (/ (* x (- (* -1 y) t)) z))>
#<alt (* -1 (/ (+ (* -1 (/ (* t x) z)) (* x (- (* -1 y) t))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* t x) (/ (* t x) z)) z)) (* x (- (* -1 y) t))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (* t x) z))) z)) (* t x)) z)) (* x (- (* -1 y) t))) z))>
#<alt (/ (* x y) z)>
#<alt (+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z))>
#<alt (+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z))>
#<alt (+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z))>
#<alt (* -1 (/ (* t x) (- 1 z)))>
#<alt (* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z))))>
#<alt (* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z))))>
#<alt (* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z))))>
#<alt (* -1 (/ (* t x) (- 1 z)))>
#<alt (* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z)))))>
#<alt (* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z)))))>
#<alt (* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z)))))>
#<alt (* -1 (/ t (- 1 z)))>
#<alt (- (/ y z) (/ t (- 1 z)))>
#<alt (- (/ y z) (/ t (- 1 z)))>
#<alt (- (/ y z) (/ t (- 1 z)))>
#<alt (/ y z)>
#<alt (* y (+ (* -1 (/ t (* y (- 1 z)))) (/ 1 z)))>
#<alt (* y (+ (* -1 (/ t (* y (- 1 z)))) (/ 1 z)))>
#<alt (* y (+ (* -1 (/ t (* y (- 1 z)))) (/ 1 z)))>
#<alt (/ y z)>
#<alt (* -1 (* y (- (/ t (* y (- 1 z))) (/ 1 z))))>
#<alt (* -1 (* y (- (/ t (* y (- 1 z))) (/ 1 z))))>
#<alt (* -1 (* y (- (/ t (* y (- 1 z))) (/ 1 z))))>
#<alt (/ y z)>
#<alt (/ (+ y (* -1 (* t z))) z)>
#<alt (/ (+ y (* z (- (* -1 (* t z)) t))) z)>
#<alt (/ (+ y (* z (- (* z (+ (* -1 t) (* -1 (* t z)))) t))) z)>
#<alt (/ (- y (* -1 t)) z)>
#<alt (/ (- (+ y (/ t z)) (* -1 t)) z)>
#<alt (/ (- (+ y (+ (/ t z) (/ t (pow z 2)))) (* -1 t)) z)>
#<alt (/ (- (+ y (+ (/ t z) (+ (/ t (pow z 2)) (/ t (pow z 3))))) (* -1 t)) z)>
#<alt (* -1 (/ (- (* -1 y) t) z))>
#<alt (* -1 (/ (- (+ (* -1 y) (* -1 (/ t z))) t) z))>
#<alt (* -1 (/ (- (+ (* -1 y) (* -1 (/ (+ t (/ t z)) z))) t) z))>
#<alt (* -1 (/ (- (+ (* -1 y) (* -1 (/ (+ t (* -1 (/ (+ (* -1 t) (* -1 (/ t z))) z))) z))) t) z))>
#<alt (/ y z)>
#<alt (+ (* -1 (/ t (- 1 z))) (/ y z))>
#<alt (+ (* -1 (/ t (- 1 z))) (/ y z))>
#<alt (+ (* -1 (/ t (- 1 z))) (/ y z))>
#<alt (* -1 (/ t (- 1 z)))>
#<alt (* t (- (/ y (* t z)) (/ 1 (- 1 z))))>
#<alt (* t (- (/ y (* t z)) (/ 1 (- 1 z))))>
#<alt (* t (- (/ y (* t z)) (/ 1 (- 1 z))))>
#<alt (* -1 (/ t (- 1 z)))>
#<alt (* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (- 1 z)))))>
#<alt (* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (- 1 z)))))>
#<alt (* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (- 1 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 (/ t (- 1 z))>
#<alt (/ t (- 1 z))>
#<alt (/ t (- 1 z))>
#<alt (/ t (- 1 z))>
#<alt (/ t (- 1 z))>
#<alt (/ t (- 1 z))>
#<alt (/ t (- 1 z))>
#<alt (/ t (- 1 z))>
#<alt (/ t (- 1 z))>
#<alt (/ t (- 1 z))>
#<alt (/ t (- 1 z))>
#<alt (/ t (- 1 z))>
#<alt t>
#<alt (+ t (* t z))>
#<alt (+ t (* z (- (* t z) (* -1 t))))>
#<alt (+ t (* z (- (* z (- (* t z) (* -1 t))) (* -1 t))))>
#<alt (* -1 (/ t z))>
#<alt (/ (+ (* -1 t) (* -1 (/ t z))) z)>
#<alt (/ (- (+ (* -1 t) (* -1 (/ t (pow z 2)))) (/ t z)) z)>
#<alt (/ (- (+ (* -1 t) (* -1 (/ t (pow z 3)))) (+ (/ t z) (/ t (pow z 2)))) z)>
#<alt (* -1 (/ t z))>
#<alt (* -1 (/ (+ t (/ t z)) z))>
#<alt (* -1 (/ (+ t (* -1 (/ (- (* -1 (/ t z)) t) z))) z))>
#<alt (* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ t z) (* -1 t)) z)) t) 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))))>
Calls

36 calls:

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

rewrite316.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
4672×*-lowering-*.f32
4672×*-lowering-*.f64
4618×/-lowering-/.f32
4618×/-lowering-/.f64
2352×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01031
16031
264431
0838031
Stop Event
1×iter limit
1×node limit
Counts
5 → 336
Calls
Call 1
Inputs
(* x (- (/ y z) (/ t (- 1 z))))
(- (/ y z) (/ t (- 1 z)))
(/ y z)
(/ t (- 1 z))
(- 1 z)
Outputs
(+.f64 (*.f64 x (/.f64 y z)) (*.f64 x (/.f64 t (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) z)))))
(+.f64 (*.f64 (/.f64 y z) x) (*.f64 (/.f64 t (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) z))) x))
(fma.f64 x (/.f64 y z) (*.f64 x (/.f64 t (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) z)))))
(fma.f64 (/.f64 y z) x (*.f64 (/.f64 t (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) z))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) z)) (*.f64 x (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 z t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (/.f64 y z) y) z) (*.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))) (*.f64 x (-.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) (*.f64 x (-.f64 (/.f64 (*.f64 (/.f64 y z) y) z) (/.f64 (*.f64 t t) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 z t)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (/.f64 y z) y) z) (*.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))) (*.f64 (-.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) (*.f64 (-.f64 (/.f64 (*.f64 (/.f64 y z) y) z) (/.f64 (*.f64 t t) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))) x)))
(/.f64 (*.f64 x (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 z t))) (*.f64 z (-.f64 #s(literal 1 binary64) z)))
(/.f64 (*.f64 x (-.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))))) (+.f64 (/.f64 (*.f64 (/.f64 y z) y) z) (*.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))))
(/.f64 (*.f64 x (-.f64 (/.f64 (*.f64 (/.f64 y z) y) z) (/.f64 (*.f64 t t) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))))) (+.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
(/.f64 (*.f64 (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 z t)) x) (*.f64 z (-.f64 #s(literal 1 binary64) z)))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))))) x) (+.f64 (/.f64 (*.f64 (/.f64 y z) y) z) (*.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))))
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(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 z #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))) (neg.f64 (+.f64 z #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))) (neg.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64)))) (*.f64 z (*.f64 z z)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64))) (*.f64 (+.f64 z #s(literal 1 binary64)) (*.f64 z z))) (*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 z #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (neg.f64 (neg.f64 (+.f64 z #s(literal 1 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z z))) #s(literal 1 binary64)) (+.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) z) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64)))))) (+.f64 (*.f64 (/.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64))))) (/.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64)))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64))))) (/.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64)))) (+.f64 (*.f64 (/.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) (/.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64))) (/.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 z z) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) z))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64)))))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 z #s(literal 1 binary64)))))

simplify237.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
3648×*-lowering-*.f32
3648×*-lowering-*.f64
1758×sum5-define
1592×+-lowering-+.f64
1592×+-lowering-+.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02031296
16651198
221361163
374771163
083321163
Stop Event
1×iter limit
1×node limit
Counts
144 → 144
Calls
Call 1
Inputs
(* x (- (/ y z) (/ t (- 1 z))))
(* x (- (/ y z) (/ t (- 1 z))))
(* x (- (/ y z) (/ t (- 1 z))))
(* x (- (/ y z) (/ t (- 1 z))))
(* x (- (/ y z) (/ t (- 1 z))))
(* x (- (/ y z) (/ t (- 1 z))))
(* x (- (/ y z) (/ t (- 1 z))))
(* x (- (/ y z) (/ t (- 1 z))))
(* x (- (/ y z) (/ t (- 1 z))))
(* x (- (/ y z) (/ t (- 1 z))))
(* x (- (/ y z) (/ t (- 1 z))))
(* x (- (/ y z) (/ t (- 1 z))))
(* -1 (/ (* t x) (- 1 z)))
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z))
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z))
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z))
(/ (* x y) z)
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z)))
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z)))
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z)))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z))))))
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z))))))
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z))))))
(/ (* x y) z)
(/ (+ (* -1 (* t (* x z))) (* x y)) z)
(/ (+ (* x y) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))) z)
(/ (+ (* x y) (* z (+ (* -1 (* t x)) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))))) z)
(/ (* x (- y (* -1 t))) z)
(/ (+ (* x (- y (* -1 t))) (/ (* t x) z)) z)
(/ (+ (* x (- y (* -1 t))) (+ (/ (* t x) z) (/ (* t x) (pow z 2)))) z)
(/ (+ (* x (- y (* -1 t))) (+ (/ (* t x) z) (+ (/ (* t x) (pow z 2)) (/ (* t x) (pow z 3))))) z)
(* -1 (/ (* x (- (* -1 y) t)) z))
(* -1 (/ (+ (* -1 (/ (* t x) z)) (* x (- (* -1 y) t))) z))
(* -1 (/ (+ (* -1 (/ (+ (* t x) (/ (* t x) z)) z)) (* x (- (* -1 y) t))) z))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (* t x) z))) z)) (* t x)) z)) (* x (- (* -1 y) t))) z))
(/ (* x y) z)
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z))
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z))
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z))
(* -1 (/ (* t x) (- 1 z)))
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z))))
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z))))
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z))))
(* -1 (/ (* t x) (- 1 z)))
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z)))))
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z)))))
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z)))))
(* -1 (/ t (- 1 z)))
(- (/ y z) (/ t (- 1 z)))
(- (/ y z) (/ t (- 1 z)))
(- (/ y z) (/ t (- 1 z)))
(/ y z)
(* y (+ (* -1 (/ t (* y (- 1 z)))) (/ 1 z)))
(* y (+ (* -1 (/ t (* y (- 1 z)))) (/ 1 z)))
(* y (+ (* -1 (/ t (* y (- 1 z)))) (/ 1 z)))
(/ y z)
(* -1 (* y (- (/ t (* y (- 1 z))) (/ 1 z))))
(* -1 (* y (- (/ t (* y (- 1 z))) (/ 1 z))))
(* -1 (* y (- (/ t (* y (- 1 z))) (/ 1 z))))
(/ y z)
(/ (+ y (* -1 (* t z))) z)
(/ (+ y (* z (- (* -1 (* t z)) t))) z)
(/ (+ y (* z (- (* z (+ (* -1 t) (* -1 (* t z)))) t))) z)
(/ (- y (* -1 t)) z)
(/ (- (+ y (/ t z)) (* -1 t)) z)
(/ (- (+ y (+ (/ t z) (/ t (pow z 2)))) (* -1 t)) z)
(/ (- (+ y (+ (/ t z) (+ (/ t (pow z 2)) (/ t (pow z 3))))) (* -1 t)) z)
(* -1 (/ (- (* -1 y) t) z))
(* -1 (/ (- (+ (* -1 y) (* -1 (/ t z))) t) z))
(* -1 (/ (- (+ (* -1 y) (* -1 (/ (+ t (/ t z)) z))) t) z))
(* -1 (/ (- (+ (* -1 y) (* -1 (/ (+ t (* -1 (/ (+ (* -1 t) (* -1 (/ t z))) z))) z))) t) z))
(/ y z)
(+ (* -1 (/ t (- 1 z))) (/ y z))
(+ (* -1 (/ t (- 1 z))) (/ y z))
(+ (* -1 (/ t (- 1 z))) (/ y z))
(* -1 (/ t (- 1 z)))
(* t (- (/ y (* t z)) (/ 1 (- 1 z))))
(* t (- (/ y (* t z)) (/ 1 (- 1 z))))
(* t (- (/ y (* t z)) (/ 1 (- 1 z))))
(* -1 (/ t (- 1 z)))
(* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (- 1 z)))))
(* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (- 1 z)))))
(* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (- 1 z)))))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ t (- 1 z))
(/ t (- 1 z))
(/ t (- 1 z))
(/ t (- 1 z))
(/ t (- 1 z))
(/ t (- 1 z))
(/ t (- 1 z))
(/ t (- 1 z))
(/ t (- 1 z))
(/ t (- 1 z))
(/ t (- 1 z))
(/ t (- 1 z))
t
(+ t (* t z))
(+ t (* z (- (* t z) (* -1 t))))
(+ t (* z (- (* z (- (* t z) (* -1 t))) (* -1 t))))
(* -1 (/ t z))
(/ (+ (* -1 t) (* -1 (/ t z))) z)
(/ (- (+ (* -1 t) (* -1 (/ t (pow z 2)))) (/ t z)) z)
(/ (- (+ (* -1 t) (* -1 (/ t (pow z 3)))) (+ (/ t z) (/ t (pow z 2)))) z)
(* -1 (/ t z))
(* -1 (/ (+ t (/ t z)) z))
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ t z)) t) z))) z))
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ t z) (* -1 t)) z)) t) 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))))
Outputs
(* x (- (/ y z) (/ t (- 1 z))))
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
(* x (- (/ y z) (/ t (- 1 z))))
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
(* x (- (/ y z) (/ t (- 1 z))))
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
(* x (- (/ y z) (/ t (- 1 z))))
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
(* x (- (/ y z) (/ t (- 1 z))))
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
(* x (- (/ y z) (/ t (- 1 z))))
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
(* x (- (/ y z) (/ t (- 1 z))))
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
(* x (- (/ y z) (/ t (- 1 z))))
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
(* x (- (/ y z) (/ t (- 1 z))))
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
(* x (- (/ y z) (/ t (- 1 z))))
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
(* x (- (/ y z) (/ t (- 1 z))))
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
(* x (- (/ y z) (/ t (- 1 z))))
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
(* -1 (/ (* t x) (- 1 z)))
(/.f64 (*.f64 x t) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) z)))
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z))
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z))
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z))
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z)))
(*.f64 y (-.f64 (/.f64 x z) (/.f64 (*.f64 x t) (*.f64 y (-.f64 #s(literal 1 binary64) z)))))
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z)))
(*.f64 y (-.f64 (/.f64 x z) (/.f64 (*.f64 x t) (*.f64 y (-.f64 #s(literal 1 binary64) z)))))
(* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z)))
(*.f64 y (-.f64 (/.f64 x z) (/.f64 (*.f64 x t) (*.f64 y (-.f64 #s(literal 1 binary64) z)))))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z))))))
(*.f64 y (-.f64 (/.f64 x z) (/.f64 (*.f64 x t) (*.f64 y (-.f64 #s(literal 1 binary64) z)))))
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z))))))
(*.f64 y (-.f64 (/.f64 x z) (/.f64 (*.f64 x t) (*.f64 y (-.f64 #s(literal 1 binary64) z)))))
(* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z))))))
(*.f64 y (-.f64 (/.f64 x z) (/.f64 (*.f64 x t) (*.f64 y (-.f64 #s(literal 1 binary64) z)))))
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(/ (+ (* -1 (* t (* x z))) (* x y)) z)
(/.f64 (*.f64 x (-.f64 y (*.f64 z t))) z)
(/ (+ (* x y) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))) z)
(/.f64 (+.f64 (*.f64 x y) (*.f64 z (*.f64 (*.f64 x t) (-.f64 #s(literal -1 binary64) z)))) z)
(/ (+ (* x y) (* z (+ (* -1 (* t x)) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))))) z)
(/.f64 (+.f64 (*.f64 x (-.f64 y (*.f64 z t))) (*.f64 (*.f64 (*.f64 x t) (-.f64 #s(literal -1 binary64) z)) (*.f64 z z))) z)
(/ (* x (- y (* -1 t))) z)
(/.f64 (*.f64 x (+.f64 y t)) z)
(/ (+ (* x (- y (* -1 t))) (/ (* t x) z)) z)
(/.f64 (*.f64 x (+.f64 y (+.f64 t (/.f64 t z)))) z)
(/ (+ (* x (- y (* -1 t))) (+ (/ (* t x) z) (/ (* t x) (pow z 2)))) z)
(/.f64 (+.f64 (*.f64 x (+.f64 y t)) (*.f64 (/.f64 x z) (+.f64 t (/.f64 t z)))) z)
(/ (+ (* x (- y (* -1 t))) (+ (/ (* t x) z) (+ (/ (* t x) (pow z 2)) (/ (* t x) (pow z 3))))) z)
(/.f64 (+.f64 (*.f64 x (+.f64 y (+.f64 t (/.f64 t z)))) (*.f64 (/.f64 t (*.f64 z z)) (+.f64 x (/.f64 x z)))) z)
(* -1 (/ (* x (- (* -1 y) t)) z))
(/.f64 (*.f64 x (+.f64 y t)) z)
(* -1 (/ (+ (* -1 (/ (* t x) z)) (* x (- (* -1 y) t))) z))
(/.f64 (*.f64 x (+.f64 y (+.f64 t (/.f64 t z)))) z)
(* -1 (/ (+ (* -1 (/ (+ (* t x) (/ (* t x) z)) z)) (* x (- (* -1 y) t))) z))
(/.f64 (+.f64 (*.f64 x (+.f64 y t)) (/.f64 (*.f64 x (+.f64 t (/.f64 t z))) z)) z)
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (* t x) z))) z)) (* t x)) z)) (* x (- (* -1 y) t))) z))
(/.f64 (+.f64 (*.f64 x (+.f64 y t)) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 x t) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) z) (*.f64 x t)) z))) z)
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z))
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z))
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
(+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z))
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
(* -1 (/ (* t x) (- 1 z)))
(/.f64 (*.f64 x t) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) z)))
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z))))
(*.f64 (*.f64 x t) (+.f64 (/.f64 y (*.f64 z t)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z))))
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z))))
(*.f64 (*.f64 x t) (+.f64 (/.f64 y (*.f64 z t)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z))))
(* t (+ (* -1 (/ x (- 1 z))) (/ (* x y) (* t z))))
(*.f64 (*.f64 x t) (+.f64 (/.f64 y (*.f64 z t)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z))))
(* -1 (/ (* t x) (- 1 z)))
(/.f64 (*.f64 x t) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) z)))
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z)))))
(*.f64 (*.f64 x t) (+.f64 (/.f64 y (*.f64 z t)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z))))
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z)))))
(*.f64 (*.f64 x t) (+.f64 (/.f64 y (*.f64 z t)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z))))
(* -1 (* t (+ (* -1 (/ (* x y) (* t z))) (/ x (- 1 z)))))
(*.f64 (*.f64 x t) (+.f64 (/.f64 y (*.f64 z t)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z))))
(* -1 (/ t (- 1 z)))
(/.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 #s(literal 1 binary64) z))
(- (/ y z) (/ t (- 1 z)))
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))
(- (/ y z) (/ t (- 1 z)))
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))
(- (/ y z) (/ t (- 1 z)))
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))
(/ y z)
(/.f64 y z)
(* y (+ (* -1 (/ t (* y (- 1 z)))) (/ 1 z)))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 t y) (-.f64 #s(literal 1 binary64) z))))
(* y (+ (* -1 (/ t (* y (- 1 z)))) (/ 1 z)))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 t y) (-.f64 #s(literal 1 binary64) z))))
(* y (+ (* -1 (/ t (* y (- 1 z)))) (/ 1 z)))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 t y) (-.f64 #s(literal 1 binary64) z))))
(/ y z)
(/.f64 y z)
(* -1 (* y (- (/ t (* y (- 1 z))) (/ 1 z))))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 t y) (-.f64 #s(literal 1 binary64) z))))
(* -1 (* y (- (/ t (* y (- 1 z))) (/ 1 z))))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 t y) (-.f64 #s(literal 1 binary64) z))))
(* -1 (* y (- (/ t (* y (- 1 z))) (/ 1 z))))
(*.f64 y (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 t y) (-.f64 #s(literal 1 binary64) z))))
(/ y z)
(/.f64 y z)
(/ (+ y (* -1 (* t z))) z)
(/.f64 (-.f64 y (*.f64 z t)) z)
(/ (+ y (* z (- (* -1 (* t z)) t))) z)
(/.f64 (+.f64 y (*.f64 z (*.f64 t (-.f64 #s(literal -1 binary64) z)))) z)
(/ (+ y (* z (- (* z (+ (* -1 t) (* -1 (* t z)))) t))) z)
(/.f64 (+.f64 y (*.f64 z (-.f64 (*.f64 z (*.f64 t (-.f64 #s(literal -1 binary64) z))) t))) z)
(/ (- y (* -1 t)) z)
(/.f64 (+.f64 y t) z)
(/ (- (+ y (/ t z)) (* -1 t)) z)
(/.f64 (+.f64 y (+.f64 t (/.f64 t z))) z)
(/ (- (+ y (+ (/ t z) (/ t (pow z 2)))) (* -1 t)) z)
(/.f64 (+.f64 y (-.f64 t (*.f64 (/.f64 t z) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))) z)
(/ (- (+ y (+ (/ t z) (+ (/ t (pow z 2)) (/ t (pow z 3))))) (* -1 t)) z)
(/.f64 (+.f64 (/.f64 t (*.f64 z (*.f64 z z))) (+.f64 y (-.f64 t (*.f64 (/.f64 t z) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))))) z)
(* -1 (/ (- (* -1 y) t) z))
(/.f64 (+.f64 y t) z)
(* -1 (/ (- (+ (* -1 y) (* -1 (/ t z))) t) z))
(/.f64 (+.f64 y (+.f64 t (/.f64 t z))) z)
(* -1 (/ (- (+ (* -1 y) (* -1 (/ (+ t (/ t z)) z))) t) z))
(/.f64 (+.f64 y (-.f64 t (*.f64 (/.f64 t z) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))))) z)
(* -1 (/ (- (+ (* -1 y) (* -1 (/ (+ t (* -1 (/ (+ (* -1 t) (* -1 (/ t z))) z))) z))) t) z))
(/.f64 (+.f64 y (+.f64 t (/.f64 (-.f64 t (*.f64 (/.f64 t z) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))) z))) z)
(/ y z)
(/.f64 y z)
(+ (* -1 (/ t (- 1 z))) (/ y z))
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))
(+ (* -1 (/ t (- 1 z))) (/ y z))
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))
(+ (* -1 (/ t (- 1 z))) (/ y z))
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))
(* -1 (/ t (- 1 z)))
(/.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 #s(literal 1 binary64) z))
(* t (- (/ y (* t z)) (/ 1 (- 1 z))))
(*.f64 t (+.f64 (/.f64 y (*.f64 z t)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z))))
(* t (- (/ y (* t z)) (/ 1 (- 1 z))))
(*.f64 t (+.f64 (/.f64 y (*.f64 z t)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z))))
(* t (- (/ y (* t z)) (/ 1 (- 1 z))))
(*.f64 t (+.f64 (/.f64 y (*.f64 z t)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z))))
(* -1 (/ t (- 1 z)))
(/.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 #s(literal 1 binary64) z))
(* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (- 1 z)))))
(*.f64 t (+.f64 (/.f64 y (*.f64 z t)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z))))
(* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (- 1 z)))))
(*.f64 t (+.f64 (/.f64 y (*.f64 z t)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z))))
(* -1 (* t (+ (* -1 (/ y (* t z))) (/ 1 (- 1 z)))))
(*.f64 t (+.f64 (/.f64 y (*.f64 z t)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) 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)
(/ t (- 1 z))
(/.f64 t (-.f64 #s(literal 1 binary64) z))
(/ t (- 1 z))
(/.f64 t (-.f64 #s(literal 1 binary64) z))
(/ t (- 1 z))
(/.f64 t (-.f64 #s(literal 1 binary64) z))
(/ t (- 1 z))
(/.f64 t (-.f64 #s(literal 1 binary64) z))
(/ t (- 1 z))
(/.f64 t (-.f64 #s(literal 1 binary64) z))
(/ t (- 1 z))
(/.f64 t (-.f64 #s(literal 1 binary64) z))
(/ t (- 1 z))
(/.f64 t (-.f64 #s(literal 1 binary64) z))
(/ t (- 1 z))
(/.f64 t (-.f64 #s(literal 1 binary64) z))
(/ t (- 1 z))
(/.f64 t (-.f64 #s(literal 1 binary64) z))
(/ t (- 1 z))
(/.f64 t (-.f64 #s(literal 1 binary64) z))
(/ t (- 1 z))
(/.f64 t (-.f64 #s(literal 1 binary64) z))
(/ t (- 1 z))
(/.f64 t (-.f64 #s(literal 1 binary64) z))
t
(+ t (* t z))
(*.f64 t (+.f64 z #s(literal 1 binary64)))
(+ t (* z (- (* t z) (* -1 t))))
(+.f64 t (*.f64 z (*.f64 t (+.f64 z #s(literal 1 binary64)))))
(+ t (* z (- (* z (- (* t z) (* -1 t))) (* -1 t))))
(+.f64 t (*.f64 z (+.f64 t (*.f64 z (*.f64 t (+.f64 z #s(literal 1 binary64)))))))
(* -1 (/ t z))
(/.f64 t (-.f64 #s(literal 0 binary64) z))
(/ (+ (* -1 t) (* -1 (/ t z))) z)
(*.f64 (/.f64 t z) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))
(/ (- (+ (* -1 t) (* -1 (/ t (pow z 2)))) (/ t z)) z)
(/.f64 (-.f64 (*.f64 (/.f64 t z) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) t) z)
(/ (- (+ (* -1 t) (* -1 (/ t (pow z 3)))) (+ (/ t z) (/ t (pow z 2)))) z)
(/.f64 (-.f64 (/.f64 (-.f64 (*.f64 (/.f64 t z) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) t) z) t) z)
(* -1 (/ t z))
(/.f64 t (-.f64 #s(literal 0 binary64) z))
(* -1 (/ (+ t (/ t z)) z))
(*.f64 (/.f64 t z) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z)))
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ t z)) t) z))) z))
(/.f64 (-.f64 (*.f64 (/.f64 t z) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) t) z)
(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ t z) (* -1 t)) z)) t) z))) z))
(/.f64 (-.f64 (/.f64 (-.f64 (*.f64 (/.f64 t z) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) z))) t) z) t) z)
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* -1 z)
(-.f64 #s(literal 0 binary64) z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)

eval56.0ms (0.6%)

Compiler

Compiled 11506 to 1480 computations (87.1% saved)

prune73.0ms (0.7%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New46713480
Fresh000
Picked011
Done000
Total46714481
Accuracy
100.0%
Counts
481 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶72.9%
(/.f64 (*.f64 (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 z t)) x) (*.f64 z (-.f64 #s(literal 1 binary64) z)))
64.7%
(/.f64 (*.f64 x (-.f64 y (*.f64 z t))) z)
▶74.4%
(/.f64 (*.f64 x (+.f64 y t)) z)
83.9%
(*.f64 y (-.f64 (/.f64 x z) (/.f64 (*.f64 x t) (*.f64 y (-.f64 #s(literal 1 binary64) z)))))
70.2%
(*.f64 x (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 z y) t)) (*.f64 (/.f64 z y) (-.f64 #s(literal 1 binary64) z))))
65.3%
(*.f64 x (/.f64 (-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) t)) z) (*.f64 z (/.f64 (-.f64 #s(literal 1 binary64) z) t))))
49.2%
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 #s(literal 1 binary64) z)))
55.7%
(*.f64 x (/.f64 (+.f64 y (*.f64 z (*.f64 t (-.f64 #s(literal -1 binary64) z)))) z))
78.8%
(*.f64 x (/.f64 (+.f64 y t) z))
▶63.0%
(*.f64 x (/.f64 y z))
✓96.5%
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
▶96.4%
(*.f64 x (-.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) t))))
65.5%
(*.f64 x (-.f64 (/.f64 y z) t))
▶96.4%
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
Compiler

Compiled 425 to 262 computations (38.4% saved)

simplify162.0ms (1.6%)

Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y (-.f64 #s(literal 1 binary64) z))
✓cost-diff128
(-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 z t))
✓cost-diff128
(*.f64 (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 z t)) x)
✓cost-diff384
(/.f64 (*.f64 (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 z t)) x) (*.f64 z (-.f64 #s(literal 1 binary64) z)))
✓cost-diff0
(/.f64 z y)
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 z y))
✓cost-diff128
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))
✓cost-diff128
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
✓cost-diff0
(+.f64 y t)
✓cost-diff0
(*.f64 x (+.f64 y t))
✓cost-diff0
(/.f64 (*.f64 x (+.f64 y t)) z)
✓cost-diff0
(/.f64 y z)
✓cost-diff0
(*.f64 x (/.f64 y z))
✓cost-diff0
(/.f64 y z)
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) t))
✓cost-diff128
(-.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) t)))
✓cost-diff128
(*.f64 x (-.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) t))))
Rules
1880×*-lowering-*.f32
1880×*-lowering-*.f64
1816×fnmadd-define
1406×fma-lowering-fma.f32
1406×fma-lowering-fma.f64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
026167
174167
2176160
3429156
41314156
54880154
08080154
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* x (- (/ y z) (/ 1 (/ (- 1 z) t))))
x
(- (/ y z) (/ 1 (/ (- 1 z) t)))
(/ y z)
y
z
(/ 1 (/ (- 1 z) t))
1
(/ (- 1 z) t)
(- 1 z)
t
(* x (/ y z))
x
(/ y z)
y
z
(/ (* x (+ y t)) z)
(* x (+ y t))
x
(+ y t)
y
t
z
(* x (- (/ 1 (/ z y)) (/ t (- 1 z))))
x
(- (/ 1 (/ z y)) (/ t (- 1 z)))
(/ 1 (/ z y))
1
(/ z y)
z
y
(/ t (- 1 z))
t
(- 1 z)
(/ (* (- (* y (- 1 z)) (* z t)) x) (* z (- 1 z)))
(* (- (* y (- 1 z)) (* z t)) x)
(- (* y (- 1 z)) (* z t))
(* y (- 1 z))
y
(- 1 z)
1
z
(* z t)
t
x
(* z (- 1 z))
Outputs
(* x (- (/ y z) (/ 1 (/ (- 1 z) t))))
(*.f64 x (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))))
x
(- (/ y z) (/ 1 (/ (- 1 z) t)))
(+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(/ y z)
(/.f64 y z)
y
z
(/ 1 (/ (- 1 z) t))
(/.f64 t (-.f64 #s(literal 1 binary64) z))
1
#s(literal 1 binary64)
(/ (- 1 z) t)
(/.f64 (-.f64 #s(literal 1 binary64) z) t)
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
t
(* x (/ y z))
(/.f64 (*.f64 x y) z)
x
(/ y z)
(/.f64 y z)
y
z
(/ (* x (+ y t)) z)
(/.f64 (*.f64 x (+.f64 y t)) z)
(* x (+ y t))
(*.f64 x (+.f64 y t))
x
(+ y t)
(+.f64 y t)
y
t
z
(* x (- (/ 1 (/ z y)) (/ t (- 1 z))))
(*.f64 x (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))))
x
(- (/ 1 (/ z y)) (/ t (- 1 z)))
(+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64))))
(/ 1 (/ z y))
(/.f64 y z)
1
#s(literal 1 binary64)
(/ z y)
(/.f64 z y)
z
y
(/ t (- 1 z))
(/.f64 t (-.f64 #s(literal 1 binary64) z))
t
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
(/ (* (- (* y (- 1 z)) (* z t)) x) (* z (- 1 z)))
(*.f64 x (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))))
(* (- (* y (- 1 z)) (* z t)) x)
(*.f64 x (-.f64 y (*.f64 z (+.f64 y t))))
(- (* y (- 1 z)) (* z t))
(-.f64 y (*.f64 z (+.f64 y t)))
(* y (- 1 z))
(*.f64 y (-.f64 #s(literal 1 binary64) z))
y
(- 1 z)
(-.f64 #s(literal 1 binary64) z)
1
#s(literal 1 binary64)
z
(* z t)
(*.f64 z t)
t
x
(* z (- 1 z))
(*.f64 z (-.f64 #s(literal 1 binary64) z))

localize161.0ms (1.6%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 y (-.f64 #s(literal 1 binary64) z))
✓accuracy97.3%
(-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 z t))
✓accuracy92.1%
(*.f64 (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 z t)) x)
✓accuracy79.0%
(/.f64 (*.f64 (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 z t)) x) (*.f64 z (-.f64 #s(literal 1 binary64) z)))
✓accuracy100.0%
(/.f64 t (-.f64 #s(literal 1 binary64) z))
✓accuracy100.0%
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z)))
✓accuracy98.8%
(/.f64 #s(literal 1 binary64) (/.f64 z y))
✓accuracy96.5%
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
✓accuracy100.0%
(+.f64 y t)
✓accuracy100.0%
(*.f64 x (+.f64 y t))
✓accuracy93.0%
(/.f64 (*.f64 x (+.f64 y t)) z)
✓accuracy100.0%
(/.f64 y z)
✓accuracy93.3%
(*.f64 x (/.f64 y z))
✓accuracy100.0%
(/.f64 (-.f64 #s(literal 1 binary64) z) t)
✓accuracy100.0%
(-.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) t)))
✓accuracy99.2%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) t))
✓accuracy96.5%
(*.f64 x (-.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) t))))
Results
121.0ms256×0valid
Compiler

Compiled 185 to 27 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-div: 18.0ms (45.9% of total)
ival-mult: 14.0ms (35.7% of total)
ival-sub: 5.0ms (12.8% of total)
ival-add: 1.0ms (2.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series37.0ms (0.4%)

Counts
18 → 612
Calls
Call 1
Inputs
#<alt (* x (- (/ y z) (/ 1 (/ (- 1 z) t))))>
#<alt (- (/ y z) (/ 1 (/ (- 1 z) t)))>
#<alt (/ 1 (/ (- 1 z) t))>
#<alt (/ y z)>
#<alt (* x (/ y z))>
#<alt (/ (* x (+ y t)) z)>
#<alt (* x (+ y t))>
#<alt (+ y t)>
#<alt (* x (- (/ 1 (/ z y)) (/ t (- 1 z))))>
#<alt (- (/ 1 (/ z y)) (/ t (- 1 z)))>
#<alt (/ 1 (/ z y))>
#<alt (/ z y)>
#<alt (/ (* (- (* y (- 1 z)) (* z t)) x) (* z (- 1 z)))>
#<alt (* (- (* y (- 1 z)) (* z t)) x)>
#<alt (- (* y (- 1 z)) (* z t))>
#<alt (* y (- 1 z))>
#<alt (/ (- 1 z) t)>
#<alt (/ t (- 1 z))>
Outputs
#<alt (* x (- (/ y z) (/ t (- 1 z))))>
#<alt (* x (- (/ y z) (/ t (- 1 z))))>
#<alt (* x (- (/ y z) (/ t (- 1 z))))>
#<alt (* x (- (/ y z) (/ t (- 1 z))))>
#<alt (* x (- (/ y z) (/ t (- 1 z))))>
#<alt (* x (- (/ y z) (/ t (- 1 z))))>
#<alt (* x (- (/ y z) (/ t (- 1 z))))>
#<alt (* x (- (/ y z) (/ t (- 1 z))))>
#<alt (* x (- (/ y z) (/ t (- 1 z))))>
#<alt (* x (- (/ y z) (/ t (- 1 z))))>
#<alt (* x (- (/ y z) (/ t (- 1 z))))>
#<alt (* x (- (/ y z) (/ t (- 1 z))))>
#<alt (* -1 (/ (* t x) (- 1 z)))>
#<alt (+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z))>
#<alt (+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z))>
#<alt (+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z))>
#<alt (/ (* x y) z)>
#<alt (* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z)))>
#<alt (* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z)))>
#<alt (* y (+ (* -1 (/ (* t x) (* y (- 1 z)))) (/ x z)))>
#<alt (/ (* x y) z)>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z))))))>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z))))))>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (/ (* t x) (* y (- 1 z))))))>
#<alt (/ (* x y) z)>
#<alt (/ (+ (* -1 (* t (* x z))) (* x y)) z)>
#<alt (/ (+ (* x y) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))) z)>
#<alt (/ (+ (* x y) (* z (+ (* -1 (* t x)) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))))) z)>
#<alt (/ (* x (- y (* -1 t))) z)>
#<alt (/ (+ (* x (- y (* -1 t))) (/ (* t x) z)) z)>
#<alt (/ (+ (* x (- y (* -1 t))) (+ (/ (* t x) z) (/ (* t x) (pow z 2)))) z)>
#<alt (/ (+ (* x (- y (* -1 t))) (+ (/ (* t x) z) (+ (/ (* t x) (pow z 2)) (/ (* t x) (pow z 3))))) z)>
#<alt (* -1 (/ (* x (- (* -1 y) t)) z))>
#<alt (* -1 (/ (+ (* -1 (/ (* t x) z)) (* x (- (* -1 y) t))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* t x) (/ (* t x) z)) z)) (* x (- (* -1 y) t))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (* t x) z))) z)) (* t x)) z)) (* x (- (* -1 y) t))) z))>
#<alt (/ (* x y) z)>
#<alt (+ (* -1 (/ (* t x) (- 1 z))) (/ (* x y) z))>
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#<alt (+ (* x y) (* x (* z (- (* -1 y) t))))>
#<alt (+ (* x y) (* x (* z (- (* -1 y) t))))>
#<alt (* x (* z (- (* -1 y) t)))>
#<alt (* z (+ (* x (- (* -1 y) t)) (/ (* x y) z)))>
#<alt (* z (+ (* x (- (* -1 y) t)) (/ (* x y) z)))>
#<alt (* z (+ (* x (- (* -1 y) t)) (/ (* x y) z)))>
#<alt (* -1 (* x (* z (- y (* -1 t)))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x y) z)) (* x (- y (* -1 t))))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x y) z)) (* x (- y (* -1 t))))))>
#<alt (* -1 (* z (+ (* -1 (/ (* x y) z)) (* x (- y (* -1 t))))))>
#<alt (* x (* y (- 1 z)))>
#<alt (+ (* -1 (* t (* x z))) (* x (* y (- 1 z))))>
#<alt (+ (* -1 (* t (* x z))) (* x (* y (- 1 z))))>
#<alt (+ (* -1 (* t (* x z))) (* x (* y (- 1 z))))>
#<alt (* -1 (* t (* x z)))>
#<alt (* t (+ (* -1 (* x z)) (/ (* x (* y (- 1 z))) t)))>
#<alt (* t (+ (* -1 (* x z)) (/ (* x (* y (- 1 z))) t)))>
#<alt (* t (+ (* -1 (* x z)) (/ (* x (* y (- 1 z))) t)))>
#<alt (* -1 (* t (* x z)))>
#<alt (* -1 (* t (+ (* -1 (/ (* x (* y (- 1 z))) t)) (* x z))))>
#<alt (* -1 (* t (+ (* -1 (/ (* x (* y (- 1 z))) t)) (* x z))))>
#<alt (* -1 (* t (+ (* -1 (/ (* x (* y (- 1 z))) t)) (* x z))))>
#<alt (* x (- (* y (- 1 z)) (* t z)))>
#<alt (* x (- (* y (- 1 z)) (* t z)))>
#<alt (* x (- (* y (- 1 z)) (* t z)))>
#<alt (* x (- (* y (- 1 z)) (* t z)))>
#<alt (* x (- (* y (- 1 z)) (* t z)))>
#<alt (* x (- (* y (- 1 z)) (* t z)))>
#<alt (* x (- (* y (- 1 z)) (* t z)))>
#<alt (* x (- (* y (- 1 z)) (* t z)))>
#<alt (* x (- (* y (- 1 z)) (* t z)))>
#<alt (* x (- (* y (- 1 z)) (* t z)))>
#<alt (* x (- (* y (- 1 z)) (* t z)))>
#<alt (* x (- (* y (- 1 z)) (* t z)))>
#<alt (* -1 (* t z))>
#<alt (- (* y (- 1 z)) (* t z))>
#<alt (- (* y (- 1 z)) (* t z))>
#<alt (- (* y (- 1 z)) (* t z))>
#<alt (* y (- 1 z))>
#<alt (* y (- (+ 1 (* -1 (/ (* t z) y))) z))>
#<alt (* y (- (+ 1 (* -1 (/ (* t z) y))) z))>
#<alt (* y (- (+ 1 (* -1 (/ (* t z) y))) z))>
#<alt (* y (- 1 z))>
#<alt (* -1 (* y (+ (* -1 (- 1 z)) (/ (* t z) y))))>
#<alt (* -1 (* y (+ (* -1 (- 1 z)) (/ (* t z) y))))>
#<alt (* -1 (* y (+ (* -1 (- 1 z)) (/ (* t z) y))))>
#<alt y>
#<alt (+ y (* z (- (* -1 y) t)))>
#<alt (+ y (* z (- (* -1 y) t)))>
#<alt (+ y (* z (- (* -1 y) t)))>
#<alt (* z (- (* -1 y) t))>
#<alt (* z (- (+ (* -1 y) (/ y z)) t))>
#<alt (* z (- (+ (* -1 y) (/ y z)) t))>
#<alt (* z (- (+ (* -1 y) (/ y z)) t))>
#<alt (* -1 (* z (- y (* -1 t))))>
#<alt (* -1 (* z (- (+ y (* -1 (/ y z))) (* -1 t))))>
#<alt (* -1 (* z (- (+ y (* -1 (/ y z))) (* -1 t))))>
#<alt (* -1 (* z (- (+ y (* -1 (/ y z))) (* -1 t))))>
#<alt (* y (- 1 z))>
#<alt (+ (* -1 (* t z)) (* y (- 1 z)))>
#<alt (+ (* -1 (* t z)) (* y (- 1 z)))>
#<alt (+ (* -1 (* t z)) (* y (- 1 z)))>
#<alt (* -1 (* t z))>
#<alt (* t (- (/ (* y (- 1 z)) t) z))>
#<alt (* t (- (/ (* y (- 1 z)) t) z))>
#<alt (* t (- (/ (* y (- 1 z)) t) z))>
#<alt (* -1 (* t z))>
#<alt (* -1 (* t (- (* -1 (/ (* y (- 1 z)) t)) (* -1 z))))>
#<alt (* -1 (* t (- (* -1 (/ (* y (- 1 z)) t)) (* -1 z))))>
#<alt (* -1 (* t (- (* -1 (/ (* y (- 1 z)) t)) (* -1 z))))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt (* y (- 1 z))>
#<alt y>
#<alt (+ y (* -1 (* y z)))>
#<alt (+ y (* -1 (* y z)))>
#<alt (+ y (* -1 (* y z)))>
#<alt (* -1 (* y z))>
#<alt (* z (+ (* -1 y) (/ y z)))>
#<alt (* z (+ (* -1 y) (/ y z)))>
#<alt (* z (+ (* -1 y) (/ y z)))>
#<alt (* -1 (* y z))>
#<alt (* -1 (* z (+ y (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ y z)))))>
#<alt (* -1 (* z (+ y (* -1 (/ y z)))))>
#<alt (/ 1 t)>
#<alt (+ (* -1 (/ z t)) (/ 1 t))>
#<alt (+ (* -1 (/ z t)) (/ 1 t))>
#<alt (+ (* -1 (/ z t)) (/ 1 t))>
#<alt (* -1 (/ z t))>
#<alt (* z (- (/ 1 (* t z)) (/ 1 t)))>
#<alt (* z (- (/ 1 (* t z)) (/ 1 t)))>
#<alt (* z (- (/ 1 (* t z)) (/ 1 t)))>
#<alt (* -1 (/ z t))>
#<alt (* -1 (* z (- (/ 1 t) (/ 1 (* t z)))))>
#<alt (* -1 (* z (- (/ 1 t) (/ 1 (* t z)))))>
#<alt (* -1 (* z (- (/ 1 t) (/ 1 (* t z)))))>
#<alt (/ (- 1 z) t)>
#<alt (/ (- 1 z) t)>
#<alt (/ (- 1 z) t)>
#<alt (/ (- 1 z) t)>
#<alt (/ (- 1 z) t)>
#<alt (/ (- 1 z) t)>
#<alt (/ (- 1 z) t)>
#<alt (/ (- 1 z) t)>
#<alt (/ (- 1 z) t)>
#<alt (/ (- 1 z) t)>
#<alt (/ (- 1 z) t)>
#<alt (/ (- 1 z) t)>
#<alt (/ t (- 1 z))>
#<alt (/ t (- 1 z))>
#<alt (/ t (- 1 z))>
#<alt (/ t (- 1 z))>
#<alt (/ t (- 1 z))>
#<alt (/ t (- 1 z))>
#<alt (/ t (- 1 z))>
#<alt (/ t (- 1 z))>
#<alt (/ t (- 1 z))>
#<alt (/ t (- 1 z))>
#<alt (/ t (- 1 z))>
#<alt (/ t (- 1 z))>
#<alt t>
#<alt (+ t (* t z))>
#<alt (+ t (* z (- (* t z) (* -1 t))))>
#<alt (+ t (* z (- (* z (- (* t z) (* -1 t))) (* -1 t))))>
#<alt (* -1 (/ t z))>
#<alt (/ (+ (* -1 t) (* -1 (/ t z))) z)>
#<alt (/ (- (+ (* -1 t) (* -1 (/ t (pow z 2)))) (/ t z)) z)>
#<alt (/ (- (+ (* -1 t) (* -1 (/ t (pow z 3)))) (+ (/ t z) (/ t (pow z 2)))) z)>
#<alt (* -1 (/ t z))>
#<alt (* -1 (/ (+ t (/ t z)) z))>
#<alt (* -1 (/ (+ t (* -1 (/ (- (* -1 (/ t z)) t) z))) z))>
#<alt (* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ t z) (* -1 t)) z)) t) z))) z))>
Calls

153 calls:

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

rewrite361.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
4042×/-lowering-/.f32
4042×/-lowering-/.f64
3702×*-lowering-*.f32
3702×*-lowering-*.f64
1696×fma-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026118
1192118
21893118
08573118
Stop Event
1×iter limit
1×node limit
Counts
18 → 1271
Calls
Call 1
Inputs
(* x (- (/ y z) (/ 1 (/ (- 1 z) t))))
(- (/ y z) (/ 1 (/ (- 1 z) t)))
(/ 1 (/ (- 1 z) t))
(/ y z)
(* x (/ y z))
(/ (* x (+ y t)) z)
(* x (+ y t))
(+ y t)
(* x (- (/ 1 (/ z y)) (/ t (- 1 z))))
(- (/ 1 (/ z y)) (/ t (- 1 z)))
(/ 1 (/ z y))
(/ z y)
(/ (* (- (* y (- 1 z)) (* z t)) x) (* z (- 1 z)))
(* (- (* y (- 1 z)) (* z t)) x)
(- (* y (- 1 z)) (* z t))
(* y (- 1 z))
(/ (- 1 z) t)
(/ t (- 1 z))
Outputs
(+.f64 (/.f64 x (/.f64 z y)) (*.f64 x (-.f64 #s(literal 0 binary64) (/.f64 t (-.f64 #s(literal 1 binary64) z)))))
(+.f64 (/.f64 x (/.f64 z y)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) z)))) (*.f64 (/.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))))
(fma.f64 x (/.f64 y z) (*.f64 x (-.f64 #s(literal 0 binary64) (/.f64 t (-.f64 #s(literal 1 binary64) z)))))
(fma.f64 x (/.f64 y z) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x))
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) x) (*.f64 x (-.f64 #s(literal 0 binary64) (/.f64 t (-.f64 #s(literal 1 binary64) z)))))
(fma.f64 y (*.f64 (/.f64 #s(literal 1 binary64) z) x) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x))
(fma.f64 (/.f64 y z) x (*.f64 x (-.f64 #s(literal 0 binary64) (/.f64 t (-.f64 #s(literal 1 binary64) z)))))
(fma.f64 (/.f64 y z) x (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x))
(fma.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z y)) (*.f64 x (-.f64 #s(literal 0 binary64) (/.f64 t (-.f64 #s(literal 1 binary64) z)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (/.f64 z y)) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y) (*.f64 x (-.f64 #s(literal 0 binary64) (/.f64 t (-.f64 #s(literal 1 binary64) z)))))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 x y) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x))
(fma.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) z) (*.f64 x (-.f64 #s(literal 0 binary64) (/.f64 t (-.f64 #s(literal 1 binary64) z)))))
(fma.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 y z) (*.f64 x (-.f64 #s(literal 0 binary64) (/.f64 t (-.f64 #s(literal 1 binary64) z)))))
(fma.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 y z) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x))
(fma.f64 (*.f64 x (/.f64 #s(literal 1 binary64) z)) y (*.f64 x (-.f64 #s(literal 0 binary64) (/.f64 t (-.f64 #s(literal 1 binary64) z)))))
(fma.f64 (*.f64 x (/.f64 #s(literal 1 binary64) z)) y (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 t (-.f64 #s(literal 1 binary64) z))) x))
(neg.f64 (*.f64 (/.f64 x #s(literal -1 binary64)) (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 z t)))) (*.f64 z (-.f64 #s(literal 1 binary64) z))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 z t))) z)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))))))
(/.f64 (*.f64 x (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 z t))) (*.f64 z (-.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 z t))) z))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 z t)))) (*.f64 z (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) z))))
(/.f64 (/.f64 (*.f64 x (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 z t))) z) (-.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) z))))) (*.f64 (*.f64 z t) (*.f64 z (*.f64 t (*.f64 z t))))) x) (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) z)))) (*.f64 (*.f64 z t) (+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 z t)))) (*.f64 z (-.f64 #s(literal 1 binary64) z))))
(/.f64 (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) z)))) (*.f64 z (*.f64 t (*.f64 z t)))) x) (*.f64 (+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 z t)) (*.f64 z (-.f64 #s(literal 1 binary64) z))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 z t))))) (neg.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) z)))))
(/.f64 (neg.f64 (/.f64 (*.f64 x (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 z t))) z)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) z)))
(/.f64 (*.f64 (*.f64 x (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 z t))) #s(literal 1 binary64)) (*.f64 z (-.f64 #s(literal 1 binary64) z)))
(/.f64 (*.f64 (/.f64 (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 z t)) z) x) (-.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 x (-.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 z t) y))) (/.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 y z)))
(/.f64 (*.f64 x (-.f64 (/.f64 y (/.f64 t (-.f64 #s(literal 1 binary64) z))) z)) (/.f64 z (/.f64 t (-.f64 #s(literal 1 binary64) z))))
(/.f64 (*.f64 x (-.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z)))))) (+.f64 (*.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (/.f64 (/.f64 y z) (/.f64 z y))))
(/.f64 (*.f64 x (-.f64 (/.f64 (/.f64 y z) (/.f64 z y)) (/.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) t)))) (+.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) z))))) (*.f64 (*.f64 z t) (*.f64 z (*.f64 t (*.f64 z t))))) (/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) z)) (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) z)))) (*.f64 (*.f64 z t) (+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 z t)))))
(/.f64 (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) z)))) (*.f64 z (*.f64 t (*.f64 z t)))) (/.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) z)) (+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 z t)))
(/.f64 (*.f64 (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 z t)) (/.f64 x (-.f64 #s(literal 1 binary64) z))) z)
(/.f64 (*.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 z t) y)) x) (/.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 y z)))
(/.f64 (*.f64 (-.f64 (/.f64 y (/.f64 t (-.f64 #s(literal 1 binary64) z))) z) x) (/.f64 z (/.f64 t (-.f64 #s(literal 1 binary64) z))))
(/.f64 (*.f64 (-.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 z (*.f64 z z))) (/.f64 (*.f64 t (*.f64 t t)) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) z))))) x) (+.f64 (*.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) (+.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))) (/.f64 (/.f64 y z) (/.f64 z y))))
(/.f64 (*.f64 (-.f64 (/.f64 (/.f64 y z) (/.f64 z y)) (/.f64 (/.f64 t (-.f64 #s(literal 1 binary64) z)) (/.f64 (-.f64 #s(literal 1 binary64) z) t))) x) (+.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
(/.f64 (/.f64 (*.f64 x (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 z t))) (-.f64 #s(literal 1 binary64) z)) z)
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) z))))) (*.f64 (*.f64 z t) (*.f64 z (*.f64 t (*.f64 z t))))) x)) (neg.f64 (*.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) z)))) (*.f64 (*.f64 z t) (+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 z t)))) (*.f64 z (-.f64 #s(literal 1 binary64) z)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) z)))) (*.f64 z (*.f64 t (*.f64 z t)))) x)) (neg.f64 (*.f64 (+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 z t)) (*.f64 z (-.f64 #s(literal 1 binary64) z)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 z t)))))) (neg.f64 (neg.f64 (*.f64 z (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) z))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (*.f64 x (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 z t))) z))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) z))))
(/.f64 (neg.f64 (*.f64 (*.f64 x (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 z t))) #s(literal 1 binary64))) (*.f64 z (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) z))))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 z t)) z) x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) z)))
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simplify291.0ms (2.9%)

Algorithm
1×egg-herbie
Rules
2546×*-lowering-*.f32
2546×*-lowering-*.f64
1858×+-lowering-+.f64
1858×+-lowering-+.f32
1742×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03915608
113934962
247294906
087424906
Stop Event
1×iter limit
1×node limit
Counts
612 → 612
Calls
Call 1
Inputs
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(* -1 (/ (+ t (* -1 (/ (- (* -1 (/ (- (/ t z) (* -1 t)) z)) t) z))) z))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 t (/.f64 (+.f64 t (/.f64 (+.f64 t (/.f64 t z)) z)) z)) z))

eval281.0ms (2.8%)

Compiler

Compiled 40126 to 2967 computations (92.6% saved)

prune218.0ms (2.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1937101947
Fresh718
Picked415
Done011
Total1948131961
Accuracy
100.0%
Counts
1961 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.5%
(/.f64 (*.f64 (-.f64 y (*.f64 z t)) x) (*.f64 z (-.f64 #s(literal 1 binary64) z)))
▶62.0%
(/.f64 (*.f64 x y) z)
35.8%
(/.f64 (*.f64 x t) z)
▶63.5%
(/.f64 x (/.f64 z y))
73.2%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (+.f64 y t)))
▶61.9%
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
73.9%
(*.f64 (+.f64 y t) (/.f64 x z))
69.0%
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 t y)) (/.f64 x z)))
✓63.0%
(*.f64 x (/.f64 y z))
▶49.2%
(*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z)))
✓96.5%
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
65.5%
(*.f64 x (-.f64 (/.f64 y z) t))
▶86.9%
(*.f64 t (+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) z)) (/.f64 (/.f64 (*.f64 x y) z) t)))
Compiler

Compiled 294 to 196 computations (33.3% saved)

simplify252.0ms (2.5%)

Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x y)
✓cost-diff0
(/.f64 z (*.f64 x y))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
✓cost-diff0
(+.f64 #s(literal -1 binary64) z)
✓cost-diff0
(/.f64 t (+.f64 #s(literal -1 binary64) z))
✓cost-diff0
(*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z)))
✓cost-diff0
(*.f64 x y)
✓cost-diff0
(/.f64 (*.f64 x y) z)
✓cost-diff0
(/.f64 z y)
✓cost-diff0
(/.f64 x (/.f64 z y))
✓cost-diff0
(+.f64 #s(literal -1 binary64) z)
✓cost-diff0
(/.f64 x (+.f64 #s(literal -1 binary64) z))
✓cost-diff0
(+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) z)) (/.f64 (/.f64 (*.f64 x y) z) t))
✓cost-diff256
(*.f64 t (+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) z)) (/.f64 (/.f64 (*.f64 x y) z) t)))
Rules
3498×/-lowering-/.f32
3498×/-lowering-/.f64
2786×*-lowering-*.f32
2786×*-lowering-*.f64
2020×associate-/r*
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
019114
145114
288112
3183110
4414109
51007109
62862109
73138109
83279109
93291109
103300109
113312109
125638109
136139109
146755109
08212109
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* t (+ (/ x (+ -1 z)) (/ (/ (* x y) z) t)))
t
(+ (/ x (+ -1 z)) (/ (/ (* x y) z) t))
(/ x (+ -1 z))
x
(+ -1 z)
-1
z
(/ (/ (* x y) z) t)
(/ (* x y) z)
(* x y)
y
(/ x (/ z y))
x
(/ z y)
z
y
(/ (* x y) z)
(* x y)
x
y
z
(* x (/ t (+ -1 z)))
x
(/ t (+ -1 z))
t
(+ -1 z)
-1
z
(/ 1 (/ z (* x y)))
1
(/ z (* x y))
z
(* x y)
x
y
Outputs
(* t (+ (/ x (+ -1 z)) (/ (/ (* x y) z) t)))
(*.f64 x (+.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y z)))
t
(+ (/ x (+ -1 z)) (/ (/ (* x y) z) t))
(*.f64 x (+.f64 (/.f64 y (*.f64 t z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) z))))
(/ x (+ -1 z))
(/.f64 x (+.f64 #s(literal -1 binary64) z))
x
(+ -1 z)
(+.f64 #s(literal -1 binary64) z)
-1
#s(literal -1 binary64)
z
(/ (/ (* x y) z) t)
(/.f64 x (/.f64 z (/.f64 y t)))
(/ (* x y) z)
(/.f64 x (/.f64 z y))
(* x y)
(*.f64 x y)
y
(/ x (/ z y))
(/.f64 x (/.f64 z y))
x
(/ z y)
(/.f64 z y)
z
y
(/ (* x y) z)
(/.f64 x (/.f64 z y))
(* x y)
(*.f64 x y)
x
y
z
(* x (/ t (+ -1 z)))
(/.f64 (*.f64 t x) (+.f64 #s(literal -1 binary64) z))
x
(/ t (+ -1 z))
(/.f64 t (+.f64 #s(literal -1 binary64) z))
t
(+ -1 z)
(+.f64 #s(literal -1 binary64) z)
-1
#s(literal -1 binary64)
z
(/ 1 (/ z (* x y)))
(/.f64 x (/.f64 z y))
1
#s(literal 1 binary64)
(/ z (* x y))
(/.f64 z (*.f64 x y))
z
(* x y)
(*.f64 x y)
x
y

localize174.0ms (1.7%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x y)
✓accuracy98.8%
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
✓accuracy93.8%
(/.f64 z (*.f64 x y))
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) z)
✓accuracy100.0%
(/.f64 t (+.f64 #s(literal -1 binary64) z))
✓accuracy97.5%
(*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z)))
✓accuracy100.0%
(*.f64 x y)
✓accuracy94.2%
(/.f64 (*.f64 x y) z)
✓accuracy100.0%
(/.f64 z y)
✓accuracy92.9%
(/.f64 x (/.f64 z y))
✓accuracy100.0%
(+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) z)) (/.f64 (/.f64 (*.f64 x y) z) t))
✓accuracy94.2%
(/.f64 (*.f64 x y) z)
✓accuracy90.1%
(*.f64 t (+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) z)) (/.f64 (/.f64 (*.f64 x y) z) t)))
✓accuracy88.5%
(/.f64 (/.f64 (*.f64 x y) z) t)
Results
140.0ms256×0valid
Compiler

Compiled 121 to 20 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-div: 24.0ms (72.1% of total)
ival-mult: 5.0ms (15% of total)
ival-add: 3.0ms (9% of total)
const: 1.0ms (3% of total)
backward-pass: 0.0ms (0% of total)

series33.0ms (0.3%)

Counts
13 → 432
Calls
Call 1
Inputs
#<alt (* t (+ (/ x (+ -1 z)) (/ (/ (* x y) z) t)))>
#<alt (+ (/ x (+ -1 z)) (/ (/ (* x y) z) t))>
#<alt (/ x (+ -1 z))>
#<alt (+ -1 z)>
#<alt (/ x (/ z y))>
#<alt (/ z y)>
#<alt (/ (* x y) z)>
#<alt (* x y)>
#<alt (* x (/ t (+ -1 z)))>
#<alt (/ t (+ -1 z))>
#<alt (/ 1 (/ z (* x y)))>
#<alt (/ z (* x y))>
#<alt (/ (/ (* x y) z) t)>
Outputs
#<alt (/ (* x y) z)>
#<alt (+ (/ (* t x) (- z 1)) (/ (* x y) z))>
#<alt (+ (/ (* t x) (- z 1)) (/ (* x y) z))>
#<alt (+ (/ (* t x) (- z 1)) (/ (* x y) z))>
#<alt (/ (* t x) (- z 1))>
#<alt (* t (+ (/ x (- z 1)) (/ (* x y) (* t z))))>
#<alt (* t (+ (/ x (- z 1)) (/ (* x y) (* t z))))>
#<alt (* t (+ (/ x (- z 1)) (/ (* x y) (* t z))))>
#<alt (/ (* t x) (- z 1))>
#<alt (* -1 (* t (+ (* -1 (/ x (- z 1))) (* -1 (/ (* x y) (* t z))))))>
#<alt (* -1 (* t (+ (* -1 (/ x (- z 1))) (* -1 (/ (* x y) (* t z))))))>
#<alt (* -1 (* t (+ (* -1 (/ x (- z 1))) (* -1 (/ (* x y) (* t z))))))>
#<alt (* t (* x (+ (/ 1 (- z 1)) (/ y (* t z)))))>
#<alt (* t (* x (+ (/ 1 (- z 1)) (/ y (* t z)))))>
#<alt (* t (* x (+ (/ 1 (- z 1)) (/ y (* t z)))))>
#<alt (* t (* x (+ (/ 1 (- z 1)) (/ y (* t z)))))>
#<alt (* t (* x (+ (/ 1 (- z 1)) (/ y (* t z)))))>
#<alt (* t (* x (+ (/ 1 (- z 1)) (/ y (* t z)))))>
#<alt (* t (* x (+ (/ 1 (- z 1)) (/ y (* t z)))))>
#<alt (* t (* x (+ (/ 1 (- z 1)) (/ y (* t z)))))>
#<alt (* -1 (* t (* x (- (* -1 (/ y (* t z))) (/ 1 (- z 1))))))>
#<alt (* -1 (* t (* x (- (* -1 (/ y (* t z))) (/ 1 (- z 1))))))>
#<alt (* -1 (* t (* x (- (* -1 (/ y (* t z))) (/ 1 (- z 1))))))>
#<alt (* -1 (* t (* x (- (* -1 (/ y (* t z))) (/ 1 (- z 1))))))>
#<alt (/ (* x y) z)>
#<alt (/ (+ (* -1 (* t (* x z))) (* x y)) z)>
#<alt (/ (+ (* x y) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))) z)>
#<alt (/ (+ (* x y) (* z (+ (* -1 (* t x)) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))))) z)>
#<alt (/ (* t (+ x (/ (* x y) t))) z)>
#<alt (/ (+ (* t (+ x (/ (* x y) t))) (/ (* t x) z)) z)>
#<alt (/ (+ (* t (+ x (/ (* x y) t))) (+ (/ (* t x) z) (/ (* t x) (pow z 2)))) z)>
#<alt (/ (+ (* t (+ x (/ (* x y) t))) (+ (/ (* t x) z) (+ (/ (* t x) (pow z 2)) (/ (* t x) (pow z 3))))) z)>
#<alt (* -1 (/ (* t (+ (* -1 x) (* -1 (/ (* x y) t)))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (* t x) z)) (* t (+ (* -1 x) (* -1 (/ (* x y) t))))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* t x) (/ (* t x) z)) z)) (* t (+ (* -1 x) (* -1 (/ (* x y) t))))) z))>
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (* t x) z))) z)) (* t x)) z)) (* t (+ (* -1 x) (* -1 (/ (* x y) t))))) z))>
#<alt (/ (* t x) (- z 1))>
#<alt (+ (/ (* t x) (- z 1)) (/ (* x y) z))>
#<alt (+ (/ (* t x) (- z 1)) (/ (* x y) z))>
#<alt (+ (/ (* t x) (- z 1)) (/ (* x y) z))>
#<alt (/ (* x y) z)>
#<alt (* y (+ (/ x z) (/ (* t x) (* y (- z 1)))))>
#<alt (* y (+ (/ x z) (/ (* t x) (* y (- z 1)))))>
#<alt (* y (+ (/ x z) (/ (* t x) (* y (- z 1)))))>
#<alt (/ (* x y) z)>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y (- z 1)))))))>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y (- z 1)))))))>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y (- z 1)))))))>
#<alt (* x (+ (/ 1 (- z 1)) (/ y (* t z))))>
#<alt (* x (+ (/ 1 (- z 1)) (/ y (* t z))))>
#<alt (* x (+ (/ 1 (- z 1)) (/ y (* t z))))>
#<alt (* x (+ (/ 1 (- z 1)) (/ y (* t z))))>
#<alt (* x (+ (/ 1 (- z 1)) (/ y (* t z))))>
#<alt (* x (+ (/ 1 (- z 1)) (/ y (* t z))))>
#<alt (* x (+ (/ 1 (- z 1)) (/ y (* t z))))>
#<alt (* x (+ (/ 1 (- z 1)) (/ y (* t z))))>
#<alt (* -1 (* x (- (* -1 (/ y (* t z))) (/ 1 (- z 1)))))>
#<alt (* -1 (* x (- (* -1 (/ y (* t z))) (/ 1 (- z 1)))))>
#<alt (* -1 (* x (- (* -1 (/ y (* t z))) (/ 1 (- z 1)))))>
#<alt (* -1 (* x (- (* -1 (/ y (* t z))) (/ 1 (- z 1)))))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (+ (* -1 (* x z)) (/ (* x y) t)) z)>
#<alt (/ (+ (* z (+ (* -1 x) (* -1 (* x z)))) (/ (* x y) t)) z)>
#<alt (/ (+ (* z (+ (* -1 x) (* z (- (* -1 (* x z)) x)))) (/ (* x y) t)) z)>
#<alt (/ (+ x (/ (* x y) t)) z)>
#<alt (/ (+ x (+ (/ x z) (/ (* x y) t))) z)>
#<alt (/ (- (+ x (+ (/ x (pow z 2)) (/ (* x y) t))) (* -1 (/ x z))) z)>
#<alt (/ (- (+ x (+ (/ x (pow z 3)) (/ (* x y) t))) (+ (* -1 (/ x z)) (* -1 (/ x (pow z 2))))) z)>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (* x y) t))) z))>
#<alt (* -1 (/ (+ (* -1 x) (+ (* -1 (/ x z)) (* -1 (/ (* x y) t)))) z))>
#<alt (* -1 (/ (+ (* -1 x) (+ (* -1 (/ (* x y) t)) (* -1 (/ (+ x (/ x z)) z)))) z))>
#<alt (* -1 (/ (+ (* -1 x) (+ (* -1 (/ (* x y) t)) (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x z))) z))) z)))) z))>
#<alt (/ x (- z 1))>
#<alt (+ (/ x (- z 1)) (/ (* x y) (* t z)))>
#<alt (+ (/ x (- z 1)) (/ (* x y) (* t z)))>
#<alt (+ (/ x (- z 1)) (/ (* x y) (* t z)))>
#<alt (/ (* x y) (* t z))>
#<alt (* y (+ (/ x (* t z)) (/ x (* y (- z 1)))))>
#<alt (* y (+ (/ x (* t z)) (/ x (* y (- z 1)))))>
#<alt (* y (+ (/ x (* t z)) (/ x (* y (- z 1)))))>
#<alt (/ (* x y) (* t z))>
#<alt (* -1 (* y (+ (* -1 (/ x (* t z))) (* -1 (/ x (* y (- z 1)))))))>
#<alt (* -1 (* y (+ (* -1 (/ x (* t z))) (* -1 (/ x (* y (- z 1)))))))>
#<alt (* -1 (* y (+ (* -1 (/ x (* t z))) (* -1 (/ x (* y (- z 1)))))))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (+ (/ (* t x) (- z 1)) (/ (* x y) z)) t)>
#<alt (/ (+ (/ (* t x) (- z 1)) (/ (* x y) z)) t)>
#<alt (/ (+ (/ (* t x) (- z 1)) (/ (* x y) z)) t)>
#<alt (/ x (- z 1))>
#<alt (+ (/ x (- z 1)) (/ (* x y) (* t z)))>
#<alt (+ (/ x (- z 1)) (/ (* x y) (* t z)))>
#<alt (+ (/ x (- z 1)) (/ (* x y) (* t z)))>
#<alt (/ x (- z 1))>
#<alt (+ (/ x (- z 1)) (/ (* x y) (* t z)))>
#<alt (+ (/ x (- z 1)) (/ (* x y) (* t z)))>
#<alt (+ (/ x (- z 1)) (/ (* x y) (* t z)))>
#<alt (/ x (- z 1))>
#<alt (/ x (- z 1))>
#<alt (/ x (- z 1))>
#<alt (/ x (- z 1))>
#<alt (/ x (- z 1))>
#<alt (/ x (- z 1))>
#<alt (/ x (- z 1))>
#<alt (/ x (- z 1))>
#<alt (/ x (- z 1))>
#<alt (/ x (- z 1))>
#<alt (/ x (- z 1))>
#<alt (/ x (- z 1))>
#<alt (* -1 x)>
#<alt (+ (* -1 x) (* -1 (* x z)))>
#<alt (+ (* -1 x) (* z (- (* -1 (* x z)) x)))>
#<alt (+ (* -1 x) (* z (- (* z (- (* -1 (* x z)) x)) x)))>
#<alt (/ x z)>
#<alt (/ (+ x (/ x z)) z)>
#<alt (/ (- (+ x (/ x (pow z 2))) (* -1 (/ x z))) z)>
#<alt (/ (- (+ x (/ x (pow z 3))) (+ (* -1 (/ x z)) (* -1 (/ x (pow z 2))))) z)>
#<alt (/ x z)>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ x z))) z))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (/ x z)) z))) z))>
#<alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x z))) z))) z))) z))>
#<alt -1>
#<alt (- z 1)>
#<alt (- z 1)>
#<alt (- z 1)>
#<alt z>
#<alt (* z (- 1 (/ 1 z)))>
#<alt (* z (- 1 (/ 1 z)))>
#<alt (* z (- 1 (/ 1 z)))>
#<alt z>
#<alt (* -1 (* z (- (/ 1 z) 1)))>
#<alt (* -1 (* z (- (/ 1 z) 1)))>
#<alt (* -1 (* z (- (/ 1 z) 1)))>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ z y)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) 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 (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (* -1 (* t x))>
#<alt (+ (* -1 (* t x)) (* -1 (* t (* x z))))>
#<alt (+ (* -1 (* t x)) (* z (- (* -1 (* t (* x z))) (* t x))))>
#<alt (+ (* -1 (* t x)) (* z (- (* z (- (* -1 (* t (* x z))) (* t x))) (* t x))))>
#<alt (/ (* t x) z)>
#<alt (/ (+ (* t x) (/ (* t x) z)) z)>
#<alt (/ (- (+ (* t x) (/ (* t x) (pow z 2))) (* -1 (/ (* t x) z))) z)>
#<alt (/ (- (+ (* t x) (/ (* t x) (pow z 3))) (+ (* -1 (/ (* t x) z)) (* -1 (/ (* t x) (pow z 2))))) z)>
#<alt (/ (* t x) z)>
#<alt (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (* t x) z))) z))>
#<alt (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (+ (* t x) (/ (* t x) z)) z))) z))>
#<alt (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (* t x) z))) z)) (* t x)) z))) z))>
#<alt (/ t (- z 1))>
#<alt (/ t (- z 1))>
#<alt (/ t (- z 1))>
#<alt (/ t (- z 1))>
#<alt (/ t (- z 1))>
#<alt (/ t (- z 1))>
#<alt (/ t (- z 1))>
#<alt (/ t (- z 1))>
#<alt (/ t (- z 1))>
#<alt (/ t (- z 1))>
#<alt (/ t (- z 1))>
#<alt (/ t (- z 1))>
#<alt (* -1 t)>
#<alt (+ (* -1 t) (* -1 (* t z)))>
#<alt (+ (* -1 t) (* z (- (* -1 (* t z)) t)))>
#<alt (+ (* -1 t) (* z (- (* z (- (* -1 (* t z)) t)) t)))>
#<alt (/ t z)>
#<alt (/ (+ t (/ t z)) z)>
#<alt (/ (- (+ t (/ t (pow z 2))) (* -1 (/ t z))) z)>
#<alt (/ (- (+ t (/ t (pow z 3))) (+ (* -1 (/ t z)) (* -1 (/ t (pow z 2))))) z)>
#<alt (/ t z)>
#<alt (* -1 (/ (+ (* -1 t) (* -1 (/ t z))) z))>
#<alt (* -1 (/ (+ (* -1 t) (* -1 (/ (+ t (/ t z)) z))) z))>
#<alt (* -1 (/ (+ (* -1 t) (* -1 (/ (+ t (* -1 (/ (+ (* -1 t) (* -1 (/ t z))) z))) z))) z))>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ (* x y) z)>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ z (* x y))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
#<alt (/ (* x y) (* t z))>
Calls

108 calls:

TimeVariablePointExpression
7.0ms
x
@0
(* t (+ (/ x (+ -1 z)) (/ (/ (* x y) z) t)))
4.0ms
x
@0
(* x (/ t (+ -1 z)))
1.0ms
x
@inf
(* t (+ (/ x (+ -1 z)) (/ (/ (* x y) z) t)))
1.0ms
t
@0
(* t (+ (/ x (+ -1 z)) (/ (/ (* x y) z) t)))
1.0ms
t
@-inf
(* t (+ (/ x (+ -1 z)) (/ (/ (* x y) z) t)))

rewrite334.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
3908×/-lowering-/.f32
3908×/-lowering-/.f64
3510×*-lowering-*.f32
3510×*-lowering-*.f64
1198×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01981
111881
2121077
0865477
Stop Event
1×iter limit
1×node limit
Counts
13 → 776
Calls
Call 1
Inputs
(* t (+ (/ x (+ -1 z)) (/ (/ (* x y) z) t)))
(+ (/ x (+ -1 z)) (/ (/ (* x y) z) t))
(/ x (+ -1 z))
(+ -1 z)
(/ x (/ z y))
(/ z y)
(/ (* x y) z)
(* x y)
(* x (/ t (+ -1 z)))
(/ t (+ -1 z))
(/ 1 (/ z (* x y)))
(/ z (* x y))
(/ (/ (* x y) z) t)
Outputs
(+.f64 (/.f64 y (/.f64 z x)) (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) z) t)))
(+.f64 (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) z) t)) (/.f64 y (/.f64 z x)))
(-.f64 (/.f64 (*.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 x (-.f64 #s(literal 1 binary64) z))) (*.f64 t t)) (-.f64 (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) z) t)) (/.f64 y (/.f64 z x)))) (/.f64 (/.f64 (/.f64 y (/.f64 z x)) (/.f64 z (*.f64 x y))) (-.f64 (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) z) t)) (/.f64 y (/.f64 z x)))))
(fma.f64 t (/.f64 x (+.f64 #s(literal -1 binary64) z)) (/.f64 y (/.f64 z x)))
(fma.f64 t (/.f64 (*.f64 x y) (*.f64 t z)) (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) z) t)))
(fma.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z)) (/.f64 y (/.f64 z x)))
(fma.f64 (/.f64 x (+.f64 #s(literal -1 binary64) z)) t (/.f64 y (/.f64 z x)))
(fma.f64 (/.f64 y (/.f64 z x)) #s(literal 1 binary64) (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) z) t)))
(fma.f64 (/.f64 (*.f64 x y) (*.f64 t z)) t (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) z) t)))
(fma.f64 (/.f64 t (+.f64 #s(literal -1 binary64) z)) x (/.f64 y (/.f64 z x)))
(fma.f64 (*.f64 t x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) (/.f64 y (/.f64 z x)))
(fma.f64 (*.f64 t (/.f64 y (/.f64 z x))) (/.f64 #s(literal 1 binary64) t) (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) z) t)))
(fma.f64 (/.f64 (*.f64 t x) (+.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z z)))) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64)))) (/.f64 y (/.f64 z x)))
(fma.f64 (/.f64 (*.f64 t x) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (-.f64 #s(literal -1 binary64) z) (/.f64 y (/.f64 z x)))
(/.f64 t (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 x y) (*.f64 t z)) (/.f64 x (-.f64 #s(literal 1 binary64) z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 x (-.f64 #s(literal 1 binary64) z))) (*.f64 t t)) (-.f64 (/.f64 (/.f64 y (/.f64 z x)) (/.f64 z (*.f64 x y))) (*.f64 (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) z) t)) (/.f64 y (/.f64 z x))))) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 t (*.f64 t t))) (*.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z)))) (*.f64 (/.f64 y (/.f64 z x)) (/.f64 (/.f64 y (/.f64 z x)) (/.f64 z (*.f64 x y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) z) t)) (/.f64 y (/.f64 z x))) (-.f64 (*.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 x (-.f64 #s(literal 1 binary64) z))) (*.f64 t t)) (/.f64 (/.f64 y (/.f64 z x)) (/.f64 z (*.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (+.f64 #s(literal -1 binary64) z)) (*.f64 t (+.f64 (*.f64 t x) (/.f64 (+.f64 #s(literal -1 binary64) z) (/.f64 z (*.f64 x y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 x (-.f64 #s(literal 1 binary64) z))) (/.f64 (+.f64 (/.f64 (*.f64 x y) (*.f64 t z)) (/.f64 x (-.f64 #s(literal 1 binary64) z))) (/.f64 t (/.f64 y (/.f64 z x))))) (*.f64 t (+.f64 (/.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 x (-.f64 #s(literal 1 binary64) z))) (/.f64 (+.f64 #s(literal -1 binary64) z) x)) (/.f64 (/.f64 (*.f64 x y) (*.f64 t z)) (*.f64 (*.f64 t t) (*.f64 (/.f64 z (*.f64 x y)) (/.f64 z (*.f64 x y)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x (+.f64 #s(literal -1 binary64) z)) (/.f64 (*.f64 x y) (*.f64 t z))) (*.f64 t (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 x (-.f64 #s(literal 1 binary64) z))) (*.f64 (/.f64 x (/.f64 t (*.f64 x y))) (/.f64 (/.f64 y (*.f64 t z)) z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t (+.f64 #s(literal -1 binary64) z)) (*.f64 (+.f64 (*.f64 t x) (/.f64 (+.f64 #s(literal -1 binary64) z) (/.f64 z (*.f64 x y)))) t)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 x (-.f64 #s(literal 1 binary64) z))) (/.f64 (+.f64 (/.f64 (*.f64 x y) (*.f64 t z)) (/.f64 x (-.f64 #s(literal 1 binary64) z))) (/.f64 t (/.f64 y (/.f64 z x))))) (*.f64 (+.f64 (/.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 x (-.f64 #s(literal 1 binary64) z))) (/.f64 (+.f64 #s(literal -1 binary64) z) x)) (/.f64 (/.f64 (*.f64 x y) (*.f64 t z)) (*.f64 (*.f64 t t) (*.f64 (/.f64 z (*.f64 x y)) (/.f64 z (*.f64 x y)))))) t)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 x (+.f64 #s(literal -1 binary64) z)) (/.f64 (*.f64 x y) (*.f64 t z))) (*.f64 (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 x (-.f64 #s(literal 1 binary64) z))) (*.f64 (/.f64 x (/.f64 t (*.f64 x y))) (/.f64 (/.f64 y (*.f64 t z)) z))) t)))
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 t (*.f64 t t))) (*.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z)))) (*.f64 (/.f64 y (/.f64 z x)) (/.f64 (/.f64 y (/.f64 z x)) (/.f64 z (*.f64 x y))))) (+.f64 (*.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 x (-.f64 #s(literal 1 binary64) z))) (*.f64 t t)) (-.f64 (/.f64 (/.f64 y (/.f64 z x)) (/.f64 z (*.f64 x y))) (*.f64 (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) z) t)) (/.f64 y (/.f64 z x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 x (-.f64 #s(literal 1 binary64) z))) (*.f64 t t)) (/.f64 (/.f64 y (/.f64 z x)) (/.f64 z (*.f64 x y)))) (-.f64 (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) z) t)) (/.f64 y (/.f64 z x))))
(/.f64 (*.f64 t (+.f64 (*.f64 t x) (/.f64 (+.f64 #s(literal -1 binary64) z) (/.f64 z (*.f64 x y))))) (*.f64 t (+.f64 #s(literal -1 binary64) z)))
(/.f64 (*.f64 t (+.f64 (/.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 x (-.f64 #s(literal 1 binary64) z))) (/.f64 (+.f64 #s(literal -1 binary64) z) x)) (/.f64 (/.f64 (*.f64 x y) (*.f64 t z)) (*.f64 (*.f64 t t) (*.f64 (/.f64 z (*.f64 x y)) (/.f64 z (*.f64 x y))))))) (+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 x (-.f64 #s(literal 1 binary64) z))) (/.f64 (+.f64 (/.f64 (*.f64 x y) (*.f64 t z)) (/.f64 x (-.f64 #s(literal 1 binary64) z))) (/.f64 t (/.f64 y (/.f64 z x))))))
(/.f64 (*.f64 t (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 x (-.f64 #s(literal 1 binary64) z))) (*.f64 (/.f64 x (/.f64 t (*.f64 x y))) (/.f64 (/.f64 y (*.f64 t z)) z)))) (-.f64 (/.f64 x (+.f64 #s(literal -1 binary64) z)) (/.f64 (*.f64 x y) (*.f64 t z))))
(/.f64 (*.f64 (+.f64 (*.f64 t x) (/.f64 (+.f64 #s(literal -1 binary64) z) (/.f64 z (*.f64 x y)))) t) (*.f64 t (+.f64 #s(literal -1 binary64) z)))
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 x (-.f64 #s(literal 1 binary64) z))) (/.f64 (+.f64 #s(literal -1 binary64) z) x)) (/.f64 (/.f64 (*.f64 x y) (*.f64 t z)) (*.f64 (*.f64 t t) (*.f64 (/.f64 z (*.f64 x y)) (/.f64 z (*.f64 x y)))))) t) (+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 x (-.f64 #s(literal 1 binary64) z))) (/.f64 (+.f64 (/.f64 (*.f64 x y) (*.f64 t z)) (/.f64 x (-.f64 #s(literal 1 binary64) z))) (/.f64 t (/.f64 y (/.f64 z x))))))
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 x (-.f64 #s(literal 1 binary64) z))) (*.f64 (/.f64 x (/.f64 t (*.f64 x y))) (/.f64 (/.f64 y (*.f64 t z)) z))) t) (-.f64 (/.f64 x (+.f64 #s(literal -1 binary64) z)) (/.f64 (*.f64 x y) (*.f64 t z))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 t (*.f64 t t))) (*.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z)))) (*.f64 (/.f64 y (/.f64 z x)) (/.f64 (/.f64 y (/.f64 z x)) (/.f64 z (*.f64 x y)))))) (neg.f64 (+.f64 (*.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 x (-.f64 #s(literal 1 binary64) z))) (*.f64 t t)) (-.f64 (/.f64 (/.f64 y (/.f64 z x)) (/.f64 z (*.f64 x y))) (*.f64 (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) z) t)) (/.f64 y (/.f64 z x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 x (-.f64 #s(literal 1 binary64) z))) (*.f64 t t)) (/.f64 (/.f64 y (/.f64 z x)) (/.f64 z (*.f64 x y))))) (neg.f64 (-.f64 (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) z) t)) (/.f64 y (/.f64 z x)))))
(/.f64 (neg.f64 (*.f64 t (+.f64 (*.f64 t x) (/.f64 (+.f64 #s(literal -1 binary64) z) (/.f64 z (*.f64 x y)))))) (*.f64 t (-.f64 #s(literal 1 binary64) z)))
(/.f64 (neg.f64 (*.f64 t (+.f64 (/.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 x (-.f64 #s(literal 1 binary64) z))) (/.f64 (+.f64 #s(literal -1 binary64) z) x)) (/.f64 (/.f64 (*.f64 x y) (*.f64 t z)) (*.f64 (*.f64 t t) (*.f64 (/.f64 z (*.f64 x y)) (/.f64 z (*.f64 x y)))))))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 x (-.f64 #s(literal 1 binary64) z))) (/.f64 (+.f64 (/.f64 (*.f64 x y) (*.f64 t z)) (/.f64 x (-.f64 #s(literal 1 binary64) z))) (/.f64 t (/.f64 y (/.f64 z x)))))))
(/.f64 (neg.f64 (*.f64 t (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 x (-.f64 #s(literal 1 binary64) z))) (*.f64 (/.f64 x (/.f64 t (*.f64 x y))) (/.f64 (/.f64 y (*.f64 t z)) z))))) (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x (+.f64 #s(literal -1 binary64) z)) (/.f64 (*.f64 x y) (*.f64 t z)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (*.f64 t x) (/.f64 (+.f64 #s(literal -1 binary64) z) (/.f64 z (*.f64 x y)))) t)) (*.f64 t (-.f64 #s(literal 1 binary64) z)))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 x (-.f64 #s(literal 1 binary64) z))) (/.f64 (+.f64 #s(literal -1 binary64) z) x)) (/.f64 (/.f64 (*.f64 x y) (*.f64 t z)) (*.f64 (*.f64 t t) (*.f64 (/.f64 z (*.f64 x y)) (/.f64 z (*.f64 x y)))))) t)) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 x (-.f64 #s(literal 1 binary64) z))) (/.f64 (+.f64 (/.f64 (*.f64 x y) (*.f64 t z)) (/.f64 x (-.f64 #s(literal 1 binary64) z))) (/.f64 t (/.f64 y (/.f64 z x)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 x (-.f64 #s(literal 1 binary64) z))) (*.f64 (/.f64 x (/.f64 t (*.f64 x y))) (/.f64 (/.f64 y (*.f64 t z)) z))) t)) (-.f64 #s(literal 0 binary64) (-.f64 (/.f64 x (+.f64 #s(literal -1 binary64) z)) (/.f64 (*.f64 x y) (*.f64 t z)))))
(/.f64 (+.f64 (*.f64 (/.f64 y (/.f64 z x)) (/.f64 (/.f64 y (/.f64 z x)) (/.f64 z (*.f64 x y)))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 t (*.f64 t t))) (*.f64 (+.f64 #s(literal -1 binary64) z) (*.f64 (+.f64 #s(literal -1 binary64) z) (+.f64 #s(literal -1 binary64) z))))) (+.f64 (/.f64 (/.f64 y (/.f64 z x)) (/.f64 z (*.f64 x y))) (-.f64 (*.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 x (-.f64 #s(literal 1 binary64) z))) (*.f64 t t)) (*.f64 (/.f64 y (/.f64 z x)) (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) z) t))))))
(/.f64 (-.f64 (/.f64 (/.f64 y (/.f64 z x)) (/.f64 z (*.f64 x y))) (*.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) z)) (/.f64 x (-.f64 #s(literal 1 binary64) z))) (*.f64 t t))) (-.f64 (/.f64 y (/.f64 z x)) (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) z) t))))
(*.f64 t (-.f64 (/.f64 (*.f64 x y) (*.f64 t z)) (/.f64 x (-.f64 #s(literal 1 binary64) z))))
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(*.f64 (/.f64 y z) (/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (*.f64 x y) t))
(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 1 binary64) (*.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 y (/.f64 z x)))
(*.f64 (/.f64 x z) (/.f64 y t))
(*.f64 (/.f64 x z) (/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 x t) (/.f64 y z))
(*.f64 (/.f64 y t) (/.f64 x z))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 #s(literal -1 binary64) (*.f64 x y))))
(*.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 #s(literal 1 binary64) t) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x y)))))
(*.f64 (/.f64 #s(literal -1 binary64) t) (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z x))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) t) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 (*.f64 x y) t) (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (/.f64 t (*.f64 x y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (/.f64 t #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 y (/.f64 z x))))
(*.f64 (pow.f64 (/.f64 t (-.f64 #s(literal 0 binary64) (*.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) t) (/.f64 y (-.f64 #s(literal 0 binary64) z)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) y) t) (/.f64 x (-.f64 #s(literal 0 binary64) z)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (/.f64 z y)) t))
(*.f64 (/.f64 (*.f64 x y) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z)) t))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x y)) t))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) (/.f64 (*.f64 x y) t))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (/.f64 (/.f64 #s(literal 1 binary64) t) (-.f64 #s(literal 0 binary64) z)))
(*.f64 (pow.f64 (/.f64 t (/.f64 y (/.f64 z x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 t (/.f64 y (/.f64 z x))) #s(literal -1/2 binary64)))

simplify271.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
3848×*-lowering-*.f32
3848×*-lowering-*.f64
1858×+-lowering-+.f64
1858×+-lowering-+.f32
1710×--lowering--.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02443244
18273095
227863016
083883016
Stop Event
1×iter limit
1×node limit
Counts
432 → 432
Calls
Call 1
Inputs
(/ (* x y) z)
(+ (/ (* t x) (- z 1)) (/ (* x y) z))
(+ (/ (* t x) (- z 1)) (/ (* x y) z))
(+ (/ (* t x) (- z 1)) (/ (* x y) z))
(/ (* t x) (- z 1))
(* t (+ (/ x (- z 1)) (/ (* x y) (* t z))))
(* t (+ (/ x (- z 1)) (/ (* x y) (* t z))))
(* t (+ (/ x (- z 1)) (/ (* x y) (* t z))))
(/ (* t x) (- z 1))
(* -1 (* t (+ (* -1 (/ x (- z 1))) (* -1 (/ (* x y) (* t z))))))
(* -1 (* t (+ (* -1 (/ x (- z 1))) (* -1 (/ (* x y) (* t z))))))
(* -1 (* t (+ (* -1 (/ x (- z 1))) (* -1 (/ (* x y) (* t z))))))
(* t (* x (+ (/ 1 (- z 1)) (/ y (* t z)))))
(* t (* x (+ (/ 1 (- z 1)) (/ y (* t z)))))
(* t (* x (+ (/ 1 (- z 1)) (/ y (* t z)))))
(* t (* x (+ (/ 1 (- z 1)) (/ y (* t z)))))
(* t (* x (+ (/ 1 (- z 1)) (/ y (* t z)))))
(* t (* x (+ (/ 1 (- z 1)) (/ y (* t z)))))
(* t (* x (+ (/ 1 (- z 1)) (/ y (* t z)))))
(* t (* x (+ (/ 1 (- z 1)) (/ y (* t z)))))
(* -1 (* t (* x (- (* -1 (/ y (* t z))) (/ 1 (- z 1))))))
(* -1 (* t (* x (- (* -1 (/ y (* t z))) (/ 1 (- z 1))))))
(* -1 (* t (* x (- (* -1 (/ y (* t z))) (/ 1 (- z 1))))))
(* -1 (* t (* x (- (* -1 (/ y (* t z))) (/ 1 (- z 1))))))
(/ (* x y) z)
(/ (+ (* -1 (* t (* x z))) (* x y)) z)
(/ (+ (* x y) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))) z)
(/ (+ (* x y) (* z (+ (* -1 (* t x)) (* z (+ (* -1 (* t x)) (* -1 (* t (* x z)))))))) z)
(/ (* t (+ x (/ (* x y) t))) z)
(/ (+ (* t (+ x (/ (* x y) t))) (/ (* t x) z)) z)
(/ (+ (* t (+ x (/ (* x y) t))) (+ (/ (* t x) z) (/ (* t x) (pow z 2)))) z)
(/ (+ (* t (+ x (/ (* x y) t))) (+ (/ (* t x) z) (+ (/ (* t x) (pow z 2)) (/ (* t x) (pow z 3))))) z)
(* -1 (/ (* t (+ (* -1 x) (* -1 (/ (* x y) t)))) z))
(* -1 (/ (+ (* -1 (/ (* t x) z)) (* t (+ (* -1 x) (* -1 (/ (* x y) t))))) z))
(* -1 (/ (+ (* -1 (/ (+ (* t x) (/ (* t x) z)) z)) (* t (+ (* -1 x) (* -1 (/ (* x y) t))))) z))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (* t x) z))) z)) (* t x)) z)) (* t (+ (* -1 x) (* -1 (/ (* x y) t))))) z))
(/ (* t x) (- z 1))
(+ (/ (* t x) (- z 1)) (/ (* x y) z))
(+ (/ (* t x) (- z 1)) (/ (* x y) z))
(+ (/ (* t x) (- z 1)) (/ (* x y) z))
(/ (* x y) z)
(* y (+ (/ x z) (/ (* t x) (* y (- z 1)))))
(* y (+ (/ x z) (/ (* t x) (* y (- z 1)))))
(* y (+ (/ x z) (/ (* t x) (* y (- z 1)))))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y (- z 1)))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y (- z 1)))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y (- z 1)))))))
(* x (+ (/ 1 (- z 1)) (/ y (* t z))))
(* x (+ (/ 1 (- z 1)) (/ y (* t z))))
(* x (+ (/ 1 (- z 1)) (/ y (* t z))))
(* x (+ (/ 1 (- z 1)) (/ y (* t z))))
(* x (+ (/ 1 (- z 1)) (/ y (* t z))))
(* x (+ (/ 1 (- z 1)) (/ y (* t z))))
(* x (+ (/ 1 (- z 1)) (/ y (* t z))))
(* x (+ (/ 1 (- z 1)) (/ y (* t z))))
(* -1 (* x (- (* -1 (/ y (* t z))) (/ 1 (- z 1)))))
(* -1 (* x (- (* -1 (/ y (* t z))) (/ 1 (- z 1)))))
(* -1 (* x (- (* -1 (/ y (* t z))) (/ 1 (- z 1)))))
(* -1 (* x (- (* -1 (/ y (* t z))) (/ 1 (- z 1)))))
(/ (* x y) (* t z))
(/ (+ (* -1 (* x z)) (/ (* x y) t)) z)
(/ (+ (* z (+ (* -1 x) (* -1 (* x z)))) (/ (* x y) t)) z)
(/ (+ (* z (+ (* -1 x) (* z (- (* -1 (* x z)) x)))) (/ (* x y) t)) z)
(/ (+ x (/ (* x y) t)) z)
(/ (+ x (+ (/ x z) (/ (* x y) t))) z)
(/ (- (+ x (+ (/ x (pow z 2)) (/ (* x y) t))) (* -1 (/ x z))) z)
(/ (- (+ x (+ (/ x (pow z 3)) (/ (* x y) t))) (+ (* -1 (/ x z)) (* -1 (/ x (pow z 2))))) z)
(* -1 (/ (+ (* -1 x) (* -1 (/ (* x y) t))) z))
(* -1 (/ (+ (* -1 x) (+ (* -1 (/ x z)) (* -1 (/ (* x y) t)))) z))
(* -1 (/ (+ (* -1 x) (+ (* -1 (/ (* x y) t)) (* -1 (/ (+ x (/ x z)) z)))) z))
(* -1 (/ (+ (* -1 x) (+ (* -1 (/ (* x y) t)) (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x z))) z))) z)))) z))
(/ x (- z 1))
(+ (/ x (- z 1)) (/ (* x y) (* t z)))
(+ (/ x (- z 1)) (/ (* x y) (* t z)))
(+ (/ x (- z 1)) (/ (* x y) (* t z)))
(/ (* x y) (* t z))
(* y (+ (/ x (* t z)) (/ x (* y (- z 1)))))
(* y (+ (/ x (* t z)) (/ x (* y (- z 1)))))
(* y (+ (/ x (* t z)) (/ x (* y (- z 1)))))
(/ (* x y) (* t z))
(* -1 (* y (+ (* -1 (/ x (* t z))) (* -1 (/ x (* y (- z 1)))))))
(* -1 (* y (+ (* -1 (/ x (* t z))) (* -1 (/ x (* y (- z 1)))))))
(* -1 (* y (+ (* -1 (/ x (* t z))) (* -1 (/ x (* y (- z 1)))))))
(/ (* x y) (* t z))
(/ (+ (/ (* t x) (- z 1)) (/ (* x y) z)) t)
(/ (+ (/ (* t x) (- z 1)) (/ (* x y) z)) t)
(/ (+ (/ (* t x) (- z 1)) (/ (* x y) z)) t)
(/ x (- z 1))
(+ (/ x (- z 1)) (/ (* x y) (* t z)))
(+ (/ x (- z 1)) (/ (* x y) (* t z)))
(+ (/ x (- z 1)) (/ (* x y) (* t z)))
(/ x (- z 1))
(+ (/ x (- z 1)) (/ (* x y) (* t z)))
(+ (/ x (- z 1)) (/ (* x y) (* t z)))
(+ (/ x (- z 1)) (/ (* x y) (* t z)))
(/ x (- z 1))
(/ x (- z 1))
(/ x (- z 1))
(/ x (- z 1))
(/ x (- z 1))
(/ x (- z 1))
(/ x (- z 1))
(/ x (- z 1))
(/ x (- z 1))
(/ x (- z 1))
(/ x (- z 1))
(/ x (- z 1))
(* -1 x)
(+ (* -1 x) (* -1 (* x z)))
(+ (* -1 x) (* z (- (* -1 (* x z)) x)))
(+ (* -1 x) (* z (- (* z (- (* -1 (* x z)) x)) x)))
(/ x z)
(/ (+ x (/ x z)) z)
(/ (- (+ x (/ x (pow z 2))) (* -1 (/ x z))) z)
(/ (- (+ x (/ x (pow z 3))) (+ (* -1 (/ x z)) (* -1 (/ x (pow z 2))))) z)
(/ x z)
(* -1 (/ (+ (* -1 x) (* -1 (/ x z))) z))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (/ x z)) z))) z))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x z))) z))) z))) z))
-1
(- z 1)
(- z 1)
(- z 1)
z
(* z (- 1 (/ 1 z)))
(* z (- 1 (/ 1 z)))
(* z (- 1 (/ 1 z)))
z
(* -1 (* z (- (/ 1 z) 1)))
(* -1 (* z (- (/ 1 z) 1)))
(* -1 (* z (- (/ 1 z) 1)))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ z y)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) 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)
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(* -1 (* t x))
(+ (* -1 (* t x)) (* -1 (* t (* x z))))
(+ (* -1 (* t x)) (* z (- (* -1 (* t (* x z))) (* t x))))
(+ (* -1 (* t x)) (* z (- (* z (- (* -1 (* t (* x z))) (* t x))) (* t x))))
(/ (* t x) z)
(/ (+ (* t x) (/ (* t x) z)) z)
(/ (- (+ (* t x) (/ (* t x) (pow z 2))) (* -1 (/ (* t x) z))) z)
(/ (- (+ (* t x) (/ (* t x) (pow z 3))) (+ (* -1 (/ (* t x) z)) (* -1 (/ (* t x) (pow z 2))))) z)
(/ (* t x) z)
(* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (* t x) z))) z))
(* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (+ (* t x) (/ (* t x) z)) z))) z))
(* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (* t x) z))) z)) (* t x)) z))) z))
(/ t (- z 1))
(/ t (- z 1))
(/ t (- z 1))
(/ t (- z 1))
(/ t (- z 1))
(/ t (- z 1))
(/ t (- z 1))
(/ t (- z 1))
(/ t (- z 1))
(/ t (- z 1))
(/ t (- z 1))
(/ t (- z 1))
(* -1 t)
(+ (* -1 t) (* -1 (* t z)))
(+ (* -1 t) (* z (- (* -1 (* t z)) t)))
(+ (* -1 t) (* z (- (* z (- (* -1 (* t z)) t)) t)))
(/ t z)
(/ (+ t (/ t z)) z)
(/ (- (+ t (/ t (pow z 2))) (* -1 (/ t z))) z)
(/ (- (+ t (/ t (pow z 3))) (+ (* -1 (/ t z)) (* -1 (/ t (pow z 2))))) z)
(/ t z)
(* -1 (/ (+ (* -1 t) (* -1 (/ t z))) z))
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ t (/ t z)) z))) z))
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ t (* -1 (/ (+ (* -1 t) (* -1 (/ t z))) z))) z))) z))
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ (* x y) z)
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ z (* x y))
(/ 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) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
(/ (* x y) (* t z))
Outputs
(/ (* x y) z)
(*.f64 x (/.f64 y z))
(+ (/ (* t x) (- z 1)) (/ (* x y) z))
(*.f64 x (+.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z)))
(+ (/ (* t x) (- z 1)) (/ (* x y) z))
(*.f64 x (+.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z)))
(+ (/ (* t x) (- z 1)) (/ (* x y) z))
(*.f64 x (+.f64 (/.f64 t (+.f64 z #s(literal -1 binary64))) (/.f64 y z)))
(/ (* t x) (- z 1))
(/.f64 (*.f64 x t) (+.f64 z #s(literal -1 binary64)))
(* t (+ (/ x (- z 1)) (/ (* x y) (* t z))))
(*.f64 (*.f64 x t) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))) (/.f64 y (*.f64 z t))))
(* t (+ (/ x (- z 1)) (/ (* x y) (* t z))))
(*.f64 (*.f64 x t) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))) (/.f64 y (*.f64 z t))))
(* t (+ (/ x (- z 1)) (/ (* x y) (* t z))))
(*.f64 (*.f64 x t) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))) (/.f64 y (*.f64 z t))))
(/ (* t x) (- z 1))
(/.f64 (*.f64 x t) (+.f64 z #s(literal -1 binary64)))
(* -1 (* t (+ (* -1 (/ x (- z 1))) (* -1 (/ (* x y) (* t z))))))
(*.f64 (*.f64 x t) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))) (/.f64 y (*.f64 z t))))
(* -1 (* t (+ (* -1 (/ x (- z 1))) (* -1 (/ (* x y) (* t z))))))
(*.f64 (*.f64 x t) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))) (/.f64 y (*.f64 z t))))
(* -1 (* t (+ (* -1 (/ x (- z 1))) (* -1 (/ (* x y) (* t z))))))
(*.f64 (*.f64 x t) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))) (/.f64 y (*.f64 z t))))
(* t (* x (+ (/ 1 (- z 1)) (/ y (* t z)))))
(*.f64 (*.f64 x t) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))) (/.f64 y (*.f64 z t))))
(* t (* x (+ (/ 1 (- z 1)) (/ y (* t z)))))
(*.f64 (*.f64 x t) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))) (/.f64 y (*.f64 z t))))
(* t (* x (+ (/ 1 (- z 1)) (/ y (* t z)))))
(*.f64 (*.f64 x t) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))) (/.f64 y (*.f64 z t))))
(* t (* x (+ (/ 1 (- z 1)) (/ y (* t z)))))
(*.f64 (*.f64 x t) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))) (/.f64 y (*.f64 z t))))
(* t (* x (+ (/ 1 (- z 1)) (/ y (* t z)))))
(*.f64 (*.f64 x t) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64))) (/.f64 y (*.f64 z t))))
(* t (* x (+ (/ 1 (- z 1)) (/ y (* t z)))))
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(/ (* 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)
(*.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)
(/ (* t x) (- z 1))
(/.f64 (*.f64 x t) (+.f64 z #s(literal -1 binary64)))
(/ (* t x) (- z 1))
(/.f64 (*.f64 x t) (+.f64 z #s(literal -1 binary64)))
(/ (* t x) (- z 1))
(/.f64 (*.f64 x t) (+.f64 z #s(literal -1 binary64)))
(/ (* t x) (- z 1))
(/.f64 (*.f64 x t) (+.f64 z #s(literal -1 binary64)))
(/ (* t x) (- z 1))
(/.f64 (*.f64 x t) (+.f64 z #s(literal -1 binary64)))
(/ (* t x) (- z 1))
(/.f64 (*.f64 x t) (+.f64 z #s(literal -1 binary64)))
(/ (* t x) (- z 1))
(/.f64 (*.f64 x t) (+.f64 z #s(literal -1 binary64)))
(/ (* t x) (- z 1))
(/.f64 (*.f64 x t) (+.f64 z #s(literal -1 binary64)))
(/ (* t x) (- z 1))
(/.f64 (*.f64 x t) (+.f64 z #s(literal -1 binary64)))
(/ (* t x) (- z 1))
(/.f64 (*.f64 x t) (+.f64 z #s(literal -1 binary64)))
(/ (* t x) (- z 1))
(/.f64 (*.f64 x t) (+.f64 z #s(literal -1 binary64)))
(/ (* t x) (- z 1))
(/.f64 (*.f64 x t) (+.f64 z #s(literal -1 binary64)))
(/ (* t x) (- z 1))
(/.f64 (*.f64 x t) (+.f64 z #s(literal -1 binary64)))
(/ (* t x) (- z 1))
(/.f64 (*.f64 x t) (+.f64 z #s(literal -1 binary64)))
(/ (* t x) (- z 1))
(/.f64 (*.f64 x t) (+.f64 z #s(literal -1 binary64)))
(/ (* t x) (- z 1))
(/.f64 (*.f64 x t) (+.f64 z #s(literal -1 binary64)))
(/ (* t x) (- z 1))
(/.f64 (*.f64 x t) (+.f64 z #s(literal -1 binary64)))
(/ (* t x) (- z 1))
(/.f64 (*.f64 x t) (+.f64 z #s(literal -1 binary64)))
(/ (* t x) (- z 1))
(/.f64 (*.f64 x t) (+.f64 z #s(literal -1 binary64)))
(/ (* t x) (- z 1))
(/.f64 (*.f64 x t) (+.f64 z #s(literal -1 binary64)))
(/ (* t x) (- z 1))
(/.f64 (*.f64 x t) (+.f64 z #s(literal -1 binary64)))
(/ (* t x) (- z 1))
(/.f64 (*.f64 x t) (+.f64 z #s(literal -1 binary64)))
(/ (* t x) (- z 1))
(/.f64 (*.f64 x t) (+.f64 z #s(literal -1 binary64)))
(/ (* t x) (- z 1))
(/.f64 (*.f64 x t) (+.f64 z #s(literal -1 binary64)))
(* -1 (* t x))
(-.f64 #s(literal 0 binary64) (*.f64 x t))
(+ (* -1 (* t x)) (* -1 (* t (* x z))))
(*.f64 (*.f64 x t) (-.f64 #s(literal -1 binary64) z))
(+ (* -1 (* t x)) (* z (- (* -1 (* t (* x z))) (* t x))))
(-.f64 (*.f64 z (*.f64 (*.f64 x t) (-.f64 #s(literal -1 binary64) z))) (*.f64 x t))
(+ (* -1 (* t x)) (* z (- (* z (- (* -1 (* t (* x z))) (* t x))) (* t x))))
(*.f64 (+.f64 (*.f64 z z) #s(literal 1 binary64)) (*.f64 (*.f64 x t) (-.f64 #s(literal -1 binary64) z)))
(/ (* t x) z)
(/.f64 (*.f64 x t) z)
(/ (+ (* t x) (/ (* t x) z)) z)
(*.f64 (/.f64 x z) (+.f64 t (/.f64 t z)))
(/ (- (+ (* t x) (/ (* t x) (pow z 2))) (* -1 (/ (* t x) z))) z)
(/.f64 (*.f64 t (+.f64 x (/.f64 (+.f64 x (/.f64 x z)) z))) z)
(/ (- (+ (* t x) (/ (* t x) (pow z 3))) (+ (* -1 (/ (* t x) z)) (* -1 (/ (* t x) (pow z 2))))) z)
(/.f64 (+.f64 (*.f64 x t) (/.f64 (*.f64 t (+.f64 x (/.f64 (+.f64 x (/.f64 x z)) z))) z)) z)
(/ (* t x) z)
(/.f64 (*.f64 x t) z)
(* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (* t x) z))) z))
(*.f64 (/.f64 x z) (+.f64 t (/.f64 t z)))
(* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (+ (* t x) (/ (* t x) z)) z))) z))
(/.f64 (*.f64 t (+.f64 x (/.f64 (+.f64 x (/.f64 x z)) z))) z)
(* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (* t x) z))) z)) (* t x)) z))) z))
(/.f64 (+.f64 (*.f64 x t) (/.f64 (*.f64 t (+.f64 x (/.f64 (+.f64 x (/.f64 x z)) z))) z)) z)
(/ t (- z 1))
(/.f64 t (+.f64 z #s(literal -1 binary64)))
(/ t (- z 1))
(/.f64 t (+.f64 z #s(literal -1 binary64)))
(/ t (- z 1))
(/.f64 t (+.f64 z #s(literal -1 binary64)))
(/ t (- z 1))
(/.f64 t (+.f64 z #s(literal -1 binary64)))
(/ t (- z 1))
(/.f64 t (+.f64 z #s(literal -1 binary64)))
(/ t (- z 1))
(/.f64 t (+.f64 z #s(literal -1 binary64)))
(/ t (- z 1))
(/.f64 t (+.f64 z #s(literal -1 binary64)))
(/ t (- z 1))
(/.f64 t (+.f64 z #s(literal -1 binary64)))
(/ t (- z 1))
(/.f64 t (+.f64 z #s(literal -1 binary64)))
(/ t (- z 1))
(/.f64 t (+.f64 z #s(literal -1 binary64)))
(/ t (- z 1))
(/.f64 t (+.f64 z #s(literal -1 binary64)))
(/ t (- z 1))
(/.f64 t (+.f64 z #s(literal -1 binary64)))
(* -1 t)
(-.f64 #s(literal 0 binary64) t)
(+ (* -1 t) (* -1 (* t z)))
(*.f64 t (-.f64 #s(literal -1 binary64) z))
(+ (* -1 t) (* z (- (* -1 (* t z)) t)))
(-.f64 (*.f64 z (*.f64 t (-.f64 #s(literal -1 binary64) z))) t)
(+ (* -1 t) (* z (- (* z (- (* -1 (* t z)) t)) t)))
(-.f64 (*.f64 z (-.f64 (*.f64 z (*.f64 t (-.f64 #s(literal -1 binary64) z))) t)) t)
(/ t z)
(/.f64 t z)
(/ (+ t (/ t z)) z)
(/.f64 (+.f64 t (/.f64 t z)) z)
(/ (- (+ t (/ t (pow z 2))) (* -1 (/ t z))) z)
(/.f64 (+.f64 t (/.f64 (+.f64 t (/.f64 t z)) z)) z)
(/ (- (+ t (/ t (pow z 3))) (+ (* -1 (/ t z)) (* -1 (/ t (pow z 2))))) z)
(/.f64 (+.f64 t (/.f64 (+.f64 t (/.f64 (+.f64 t (/.f64 t z)) z)) z)) z)
(/ t z)
(/.f64 t z)
(* -1 (/ (+ (* -1 t) (* -1 (/ t z))) z))
(/.f64 (+.f64 t (/.f64 t z)) z)
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ t (/ t z)) z))) z))
(/.f64 (+.f64 t (/.f64 (+.f64 t (/.f64 t z)) z)) z)
(* -1 (/ (+ (* -1 t) (* -1 (/ (+ t (* -1 (/ (+ (* -1 t) (* -1 (/ t z))) z))) z))) z))
(/.f64 (+.f64 t (/.f64 (+.f64 t (/.f64 (+.f64 t (/.f64 t z)) z)) z)) 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))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ z (* x y))
(/.f64 z (*.f64 x y))
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)
(/ (* x y) (* t z))
(/.f64 (*.f64 x (/.f64 y t)) z)

eval252.0ms (2.5%)

Compiler

Compiled 22420 to 2217 computations (90.1% saved)

prune130.0ms (1.3%)

Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New146461470
Fresh246
Picked325
Done022
Total1469141483
Accuracy
100.0%
Counts
1483 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.5%
(/.f64 (*.f64 (-.f64 y (*.f64 z t)) x) (*.f64 z (-.f64 #s(literal 1 binary64) z)))
✓62.0%
(/.f64 (*.f64 x y) z)
▶35.8%
(/.f64 (*.f64 x t) z)
60.8%
(/.f64 y (/.f64 z x))
▶49.1%
(/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) z) t))
✓63.5%
(/.f64 x (/.f64 z y))
▶25.4%
(-.f64 #s(literal 0 binary64) (*.f64 x t))
61.3%
(*.f64 (/.f64 x z) y)
▶73.9%
(*.f64 (+.f64 y t) (/.f64 x z))
✓63.0%
(*.f64 x (/.f64 y z))
▶38.6%
(*.f64 x (/.f64 t z))
✓96.5%
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
65.5%
(*.f64 x (-.f64 (/.f64 y z) t))
60.6%
(*.f64 t (+.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 x y) z) t)))
Compiler

Compiled 266 to 178 computations (33.1% saved)

simplify105.0ms (1%)

Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal -1 binary64) z)
✓cost-diff0
(/.f64 (+.f64 #s(literal -1 binary64) z) t)
✓cost-diff0
(/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) z) t))
✓cost-diff0
(*.f64 x t)
✓cost-diff0
(/.f64 (*.f64 x t) z)
✓cost-diff0
(*.f64 x t)
✓cost-diff0
(-.f64 #s(literal 0 binary64) (*.f64 x t))
✓cost-diff0
(/.f64 t z)
✓cost-diff0
(*.f64 x (/.f64 t z))
✓cost-diff0
(/.f64 x z)
✓cost-diff0
(+.f64 y t)
✓cost-diff0
(*.f64 (+.f64 y t) (/.f64 x z))
Rules
2556×fnmadd-define
1748×fma-define
1474×fmsub-define
1430×fmm-def
1406×fnmsub-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01768
13168
25368
39368
412068
516068
628068
744768
8105068
9152868
10248668
11532568
0804468
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (+ y t) (/ x z))
(+ y t)
y
t
(/ x z)
x
z
(* x (/ t z))
x
(/ t z)
t
z
(- 0 (* x t))
0
(* x t)
x
t
(/ (* x t) z)
(* x t)
x
t
z
(/ x (/ (+ -1 z) t))
x
(/ (+ -1 z) t)
(+ -1 z)
-1
z
t
Outputs
(* (+ y t) (/ x z))
(/.f64 (*.f64 (+.f64 y t) x) z)
(+ y t)
(+.f64 y t)
y
t
(/ x z)
(/.f64 x z)
x
z
(* x (/ t z))
(*.f64 x (/.f64 t z))
x
(/ t z)
(/.f64 t z)
t
z
(- 0 (* x t))
(-.f64 #s(literal 0 binary64) (*.f64 t x))
0
#s(literal 0 binary64)
(* x t)
(*.f64 t x)
x
t
(/ (* x t) z)
(*.f64 x (/.f64 t z))
(* x t)
(*.f64 t x)
x
t
z
(/ x (/ (+ -1 z) t))
(/.f64 x (/.f64 (+.f64 z #s(literal -1 binary64)) t))
x
(/ (+ -1 z) t)
(/.f64 (+.f64 z #s(literal -1 binary64)) t)
(+ -1 z)
(+.f64 z #s(literal -1 binary64))
-1
#s(literal -1 binary64)
z
t

localize140.0ms (1.4%)

Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) z)
✓accuracy100.0%
(/.f64 (+.f64 #s(literal -1 binary64) z) t)
✓accuracy96.7%
(/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) z) t))
✓accuracy100.0%
(*.f64 x t)
✓accuracy94.9%
(/.f64 (*.f64 x t) z)
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) (*.f64 x t))
✓accuracy100.0%
(*.f64 x t)
✓accuracy100.0%
(/.f64 t z)
✓accuracy93.7%
(*.f64 x (/.f64 t z))
✓accuracy100.0%
(/.f64 x z)
✓accuracy100.0%
(+.f64 y t)
✓accuracy91.2%
(*.f64 (+.f64 y t) (/.f64 x z))
Results
120.0ms256×0valid
Compiler

Compiled 74 to 18 computations (75.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-div: 29.0ms (67.8% of total)
ival-mult: 8.0ms (18.7% of total)
ival-add: 3.0ms (7% of total)
ival-sub: 1.0ms (2.3% of total)
const: 1.0ms (2.3% of total)
backward-pass: 0.0ms (0% of total)

series10.0ms (0.1%)

Counts
11 → 312
Calls
Call 1
Inputs
#<alt (* (+ y t) (/ x z))>
#<alt (+ y t)>
#<alt (/ x z)>
#<alt (* x (/ t z))>
#<alt (/ t z)>
#<alt (- 0 (* x t))>
#<alt (* x t)>
#<alt (/ (* x t) z)>
#<alt (/ x (/ (+ -1 z) t))>
#<alt (/ (+ -1 z) t)>
#<alt (+ -1 z)>
Outputs
#<alt (/ (* t x) z)>
#<alt (+ (/ (* t x) z) (/ (* x y) z))>
#<alt (+ (/ (* t x) z) (/ (* x y) z))>
#<alt (+ (/ (* t x) z) (/ (* x y) z))>
#<alt (/ (* x y) z)>
#<alt (* y (+ (/ x z) (/ (* t x) (* y z))))>
#<alt (* y (+ (/ x z) (/ (* t x) (* y z))))>
#<alt (* y (+ (/ x z) (/ (* t x) (* y z))))>
#<alt (/ (* x y) z)>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y z))))))>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y z))))))>
#<alt (* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y z))))))>
#<alt (/ (* x y) z)>
#<alt (+ (/ (* t x) z) (/ (* x y) z))>
#<alt (+ (/ (* t x) z) (/ (* x y) z))>
#<alt (+ (/ (* t x) z) (/ (* x y) z))>
#<alt (/ (* t x) z)>
#<alt (* t (+ (/ x z) (/ (* x y) (* t z))))>
#<alt (* t (+ (/ x z) (/ (* x y) (* t z))))>
#<alt (* t (+ (/ x z) (/ (* x y) (* t z))))>
#<alt (/ (* t x) z)>
#<alt (* -1 (* t (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t z))))))>
#<alt (* -1 (* t (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t z))))))>
#<alt (* -1 (* t (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t z))))))>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt (/ (* x (+ t y)) z)>
#<alt t>
#<alt (+ t y)>
#<alt (+ t y)>
#<alt (+ t y)>
#<alt y>
#<alt (* y (+ 1 (/ t y)))>
#<alt (* y (+ 1 (/ t y)))>
#<alt (* y (+ 1 (/ t y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ t y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ t y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ t y)) 1)))>
#<alt y>
#<alt (+ t y)>
#<alt (+ t y)>
#<alt (+ t y)>
#<alt t>
#<alt (* t (+ 1 (/ y t)))>
#<alt (* t (+ 1 (/ y t)))>
#<alt (* t (+ 1 (/ y t)))>
#<alt t>
#<alt (* -1 (* t (- (* -1 (/ y t)) 1)))>
#<alt (* -1 (* t (- (* -1 (/ y t)) 1)))>
#<alt (* -1 (* t (- (* -1 (/ y t)) 1)))>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ x z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (/ t z)>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* -1 (* t x))>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (* t x)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) z)>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (* -1 (* t x))>
#<alt (+ (* -1 (* t x)) (* -1 (* t (* x z))))>
#<alt (+ (* -1 (* t x)) (* z (- (* -1 (* t (* x z))) (* t x))))>
#<alt (+ (* -1 (* t x)) (* z (- (* z (- (* -1 (* t (* x z))) (* t x))) (* t x))))>
#<alt (/ (* t x) z)>
#<alt (/ (+ (* t x) (/ (* t x) z)) z)>
#<alt (/ (- (+ (* t x) (/ (* t x) (pow z 2))) (* -1 (/ (* t x) z))) z)>
#<alt (/ (- (+ (* t x) (/ (* t x) (pow z 3))) (+ (* -1 (/ (* t x) z)) (* -1 (/ (* t x) (pow z 2))))) z)>
#<alt (/ (* t x) z)>
#<alt (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (* t x) z))) z))>
#<alt (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (+ (* t x) (/ (* t x) z)) z))) z))>
#<alt (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (* t x) z))) z)) (* t x)) z))) z))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ (* t x) (- z 1))>
#<alt (/ -1 t)>
#<alt (- (/ z t) (/ 1 t))>
#<alt (- (/ z t) (/ 1 t))>
#<alt (- (/ z t) (/ 1 t))>
#<alt (/ z t)>
#<alt (* z (- (/ 1 t) (/ 1 (* t z))))>
#<alt (* z (- (/ 1 t) (/ 1 (* t z))))>
#<alt (* z (- (/ 1 t) (/ 1 (* t z))))>
#<alt (/ z t)>
#<alt (* -1 (* z (- (/ 1 (* t z)) (/ 1 t))))>
#<alt (* -1 (* z (- (/ 1 (* t z)) (/ 1 t))))>
#<alt (* -1 (* z (- (/ 1 (* t z)) (/ 1 t))))>
#<alt (/ (- z 1) t)>
#<alt (/ (- z 1) t)>
#<alt (/ (- z 1) t)>
#<alt (/ (- z 1) t)>
#<alt (/ (- z 1) t)>
#<alt (/ (- z 1) t)>
#<alt (/ (- z 1) t)>
#<alt (/ (- z 1) t)>
#<alt (/ (- z 1) t)>
#<alt (/ (- z 1) t)>
#<alt (/ (- z 1) t)>
#<alt (/ (- z 1) t)>
#<alt -1>
#<alt (- z 1)>
#<alt (- z 1)>
#<alt (- z 1)>
#<alt z>
#<alt (* z (- 1 (/ 1 z)))>
#<alt (* z (- 1 (/ 1 z)))>
#<alt (* z (- 1 (/ 1 z)))>
#<alt z>
#<alt (* -1 (* z (- (/ 1 z) 1)))>
#<alt (* -1 (* z (- (/ 1 z) 1)))>
#<alt (* -1 (* z (- (/ 1 z) 1)))>
Calls

78 calls:

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

rewrite310.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
4370×*-lowering-*.f32
4370×*-lowering-*.f64
3896×/-lowering-/.f32
3896×/-lowering-/.f64
1048×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01748
19648
276848
0843048
Stop Event
1×iter limit
1×node limit
Counts
11 → 913
Calls
Call 1
Inputs
(* (+ y t) (/ x z))
(+ y t)
(/ x z)
(* x (/ t z))
(/ t z)
(- 0 (* x t))
(* x t)
(/ (* x t) z)
(/ x (/ (+ -1 z) t))
(/ (+ -1 z) t)
(+ -1 z)
Outputs
(+.f64 (/.f64 t (/.f64 z x)) (/.f64 y (/.f64 z x)))
(+.f64 (/.f64 y (/.f64 z x)) (/.f64 t (/.f64 z x)))
(-.f64 #s(literal 0 binary64) (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 t (/.f64 z x))) (/.f64 y (/.f64 z x))))
(-.f64 (/.f64 y (/.f64 z x)) (-.f64 #s(literal 0 binary64) (/.f64 t (/.f64 z x))))
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 y t)) (/.f64 z x)) (/.f64 (/.f64 (*.f64 t t) (-.f64 y t)) (/.f64 z x)))
(-.f64 (+.f64 (/.f64 y (/.f64 z x)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 t (/.f64 z x))))
(fma.f64 y (/.f64 x z) (/.f64 t (/.f64 z x)))
(fma.f64 t (/.f64 x z) (/.f64 y (/.f64 z x)))
(fma.f64 x (/.f64 t z) (/.f64 y (/.f64 z x)))
(fma.f64 (/.f64 x z) y (/.f64 t (/.f64 z x)))
(fma.f64 (/.f64 x z) t (/.f64 y (/.f64 z x)))
(fma.f64 (/.f64 t z) x (/.f64 y (/.f64 z x)))
(fma.f64 (*.f64 t x) (/.f64 #s(literal 1 binary64) z) (/.f64 y (/.f64 z x)))
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 t x)) (/.f64 #s(literal -1 binary64) z) (/.f64 y (/.f64 z x)))
(fma.f64 #s(literal 1 binary64) (/.f64 t (/.f64 z x)) (/.f64 y (/.f64 z x)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (*.f64 t x) (/.f64 y (/.f64 z x)))
(neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 x z)) (+.f64 y t)))
(neg.f64 (*.f64 (+.f64 y t) (-.f64 #s(literal 0 binary64) (/.f64 x z))))
(neg.f64 (/.f64 (*.f64 (+.f64 y t) x) (-.f64 #s(literal 0 binary64) z)))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 y t) x)) z))
(/.f64 (+.f64 y t) (/.f64 z x))
(/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y t)) z))
(/.f64 x (*.f64 z (/.f64 #s(literal 1 binary64) (+.f64 y t))))
(/.f64 (/.f64 x z) (/.f64 #s(literal 1 binary64) (+.f64 y t)))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y t)) (-.f64 #s(literal 0 binary64) (/.f64 z x))))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (/.f64 #s(literal 1 binary64) (+.f64 y t))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (*.f64 (+.f64 y t) x))))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 y t) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y t)) (/.f64 z x)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 z x) (/.f64 #s(literal 1 binary64) (+.f64 y t))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z (*.f64 (+.f64 y t) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (+.f64 (*.f64 t t) (*.f64 y (-.f64 y t)))) (*.f64 x (+.f64 (*.f64 y (*.f64 y y)) (*.f64 t (*.f64 t t))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 y t)) (*.f64 (+.f64 y t) (*.f64 (-.f64 y t) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 y t) #s(literal -1 binary64)) z) (*.f64 (+.f64 y t) (*.f64 (-.f64 y t) (-.f64 #s(literal 0 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 y t) (/.f64 x z)) (-.f64 (*.f64 y y) (*.f64 t t))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 (*.f64 t t) (*.f64 y (-.f64 y t)))) (neg.f64 (*.f64 x (+.f64 (*.f64 y (*.f64 y y)) (*.f64 t (*.f64 t t)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (*.f64 t t) (*.f64 y (-.f64 y t))) (/.f64 x z)) (+.f64 (*.f64 y (*.f64 y y)) (*.f64 t (*.f64 t t)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 t t) (*.f64 y (-.f64 y t))) (/.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 t (*.f64 t t))) (/.f64 z x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y t) (/.f64 (-.f64 (*.f64 y y) (*.f64 t t)) (/.f64 z x))))
(/.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 t (*.f64 t t))) (/.f64 (+.f64 (*.f64 t t) (*.f64 y (-.f64 y t))) (/.f64 x z)))
(/.f64 (-.f64 (*.f64 y y) (*.f64 t t)) (/.f64 (-.f64 y t) (/.f64 x z)))
(/.f64 (*.f64 (+.f64 y t) x) z)
(/.f64 (*.f64 x (+.f64 (*.f64 y (*.f64 y y)) (*.f64 t (*.f64 t t)))) (*.f64 z (+.f64 (*.f64 t t) (*.f64 y (-.f64 y t)))))
(/.f64 (neg.f64 (*.f64 x (+.f64 (*.f64 y (*.f64 y y)) (*.f64 t (*.f64 t t))))) (*.f64 (-.f64 #s(literal 0 binary64) z) (+.f64 (*.f64 t t) (*.f64 y (-.f64 y t)))))
(/.f64 (*.f64 (+.f64 y t) (*.f64 (-.f64 y t) x)) (*.f64 z (-.f64 y t)))
(/.f64 (*.f64 (+.f64 y t) (*.f64 (-.f64 y t) (-.f64 #s(literal 0 binary64) x))) (*.f64 (*.f64 (-.f64 y t) #s(literal -1 binary64)) z))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 y y)) (*.f64 t (*.f64 t t)))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (+.f64 (*.f64 t t) (*.f64 y (-.f64 y t)))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 y y)) (*.f64 t (*.f64 t t)))) (*.f64 (/.f64 z x) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 t t) (*.f64 y (-.f64 y t))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y (*.f64 y y)) (*.f64 t (*.f64 t t)))) (neg.f64 (/.f64 (+.f64 (*.f64 t t) (*.f64 y (-.f64 y t))) (/.f64 x z))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 t t))) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 z x)) (-.f64 y t)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 t t))) (*.f64 (/.f64 z x) (+.f64 (-.f64 #s(literal 0 binary64) y) t)))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 t t))) (neg.f64 (/.f64 (-.f64 y t) (/.f64 x z))))
(/.f64 (-.f64 (*.f64 t t) (*.f64 y y)) (*.f64 (/.f64 z x) (-.f64 t y)))
(/.f64 (/.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 t (*.f64 t t))) (/.f64 z x)) (+.f64 (*.f64 t t) (*.f64 y (-.f64 y t))))
(/.f64 (/.f64 (-.f64 (*.f64 y y) (*.f64 t t)) (/.f64 z x)) (-.f64 y t))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 y t) x)) (-.f64 #s(literal 0 binary64) z))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y t)) (-.f64 #s(literal 0 binary64) z)))
(/.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y y)) (*.f64 t (*.f64 t t))) #s(literal -1 binary64)) (*.f64 (+.f64 (*.f64 t t) (*.f64 y (-.f64 y t))) (-.f64 #s(literal 0 binary64) (/.f64 z x))))
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(-.f64 (/.f64 (*.f64 z z) (+.f64 z #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64))))
(neg.f64 (-.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 z #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z z))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 (*.f64 z z) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal -1 binary64) z))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (neg.f64 (+.f64 #s(literal 1 binary64) z)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z z)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64))))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) (+.f64 #s(literal 1 binary64) z))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z z)) (-.f64 (*.f64 z (*.f64 z z)) #s(literal -1 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z z)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (*.f64 (-.f64 #s(literal -1 binary64) z) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) (*.f64 z z))))))
(/.f64 (+.f64 (*.f64 z z) #s(literal -1 binary64)) (+.f64 z #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (*.f64 (-.f64 #s(literal -1 binary64) z) (+.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) z)) (*.f64 (-.f64 #s(literal -1 binary64) z) (*.f64 z z))) (*.f64 (-.f64 #s(literal -1 binary64) z) (-.f64 #s(literal -1 binary64) z)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z z)) (-.f64 (*.f64 z (*.f64 z z)) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) (*.f64 z z)))) (-.f64 #s(literal -1 binary64) z)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal -1 binary64) z)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z z)))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (+.f64 (*.f64 z z) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 z #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z z))))) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z z))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z))) (-.f64 #s(literal -1 binary64) z))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z))) (neg.f64 (+.f64 #s(literal 1 binary64) z)))
(/.f64 (neg.f64 (+.f64 (*.f64 z z) #s(literal -1 binary64))) (neg.f64 (+.f64 z #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) z)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (-.f64 #s(literal -1 binary64) z)) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) z))) (+.f64 (*.f64 (/.f64 (*.f64 z z) (-.f64 #s(literal -1 binary64) z)) (/.f64 (*.f64 z z) (-.f64 #s(literal -1 binary64) z))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 z z) (-.f64 #s(literal -1 binary64) z))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) z)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) z))) (*.f64 (/.f64 (*.f64 z z) (-.f64 #s(literal -1 binary64) z)) (/.f64 (*.f64 z z) (-.f64 #s(literal -1 binary64) z)))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) z)) (/.f64 (*.f64 z z) (-.f64 #s(literal -1 binary64) z))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z z)) (-.f64 (*.f64 z (*.f64 z z)) #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64)))))) (-.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z z))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) z))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) (*.f64 z z)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z (*.f64 z z)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) z))) (+.f64 #s(literal 1 binary64) (*.f64 z z)))
(pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) z))
(*.f64 (+.f64 z #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64))))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z z))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64))))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 z #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) z)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) z)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64)))))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z z))))
(*.f64 (+.f64 (*.f64 z z) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (+.f64 z #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z z))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) (*.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) (*.f64 z (+.f64 z #s(literal 1 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) (-.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z z))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 z (+.f64 z #s(literal 1 binary64))) (*.f64 z (+.f64 z #s(literal 1 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z z)))) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 z #s(literal -1 binary64)))))

simplify216.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
3592×*-lowering-*.f32
3592×*-lowering-*.f64
1622×+-lowering-+.f64
1622×+-lowering-+.f32
1328×--lowering--.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01071711
13591641
211751502
345651493
082681493
Stop Event
1×iter limit
1×node limit
Counts
312 → 312
Calls
Call 1
Inputs
(/ (* t x) z)
(+ (/ (* t x) z) (/ (* x y) z))
(+ (/ (* t x) z) (/ (* x y) z))
(+ (/ (* t x) z) (/ (* x y) z))
(/ (* x y) z)
(* y (+ (/ x z) (/ (* t x) (* y z))))
(* y (+ (/ x z) (/ (* t x) (* y z))))
(* y (+ (/ x z) (/ (* t x) (* y z))))
(/ (* x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y z))))))
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y z))))))
(/ (* x y) z)
(+ (/ (* t x) z) (/ (* x y) z))
(+ (/ (* t x) z) (/ (* x y) z))
(+ (/ (* t x) z) (/ (* x y) z))
(/ (* t x) z)
(* t (+ (/ x z) (/ (* x y) (* t z))))
(* t (+ (/ x z) (/ (* x y) (* t z))))
(* t (+ (/ x z) (/ (* x y) (* t z))))
(/ (* t x) z)
(* -1 (* t (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t z))))))
(* -1 (* t (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t z))))))
(* -1 (* t (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t z))))))
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
(/ (* x (+ t y)) z)
t
(+ t y)
(+ t y)
(+ t y)
y
(* y (+ 1 (/ t y)))
(* y (+ 1 (/ t y)))
(* y (+ 1 (/ t y)))
y
(* -1 (* y (- (* -1 (/ t y)) 1)))
(* -1 (* y (- (* -1 (/ t y)) 1)))
(* -1 (* y (- (* -1 (/ t y)) 1)))
y
(+ t y)
(+ t y)
(+ t y)
t
(* t (+ 1 (/ y t)))
(* t (+ 1 (/ y t)))
(* t (+ 1 (/ y t)))
t
(* -1 (* t (- (* -1 (/ y t)) 1)))
(* -1 (* t (- (* -1 (/ y t)) 1)))
(* -1 (* t (- (* -1 (/ y t)) 1)))
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(/ t z)
(* -1 (* t x))
(* -1 (* t x))
(* -1 (* t x))
(* -1 (* t x))
(* -1 (* t x))
(* -1 (* t x))
(* -1 (* t x))
(* -1 (* t x))
(* -1 (* t x))
(* -1 (* t x))
(* -1 (* t x))
(* -1 (* t x))
(* -1 (* t x))
(* -1 (* t x))
(* -1 (* t x))
(* -1 (* t x))
(* -1 (* t x))
(* -1 (* t x))
(* -1 (* t x))
(* -1 (* t x))
(* -1 (* t x))
(* -1 (* t x))
(* -1 (* t x))
(* -1 (* t x))
(* t x)
(* t x)
(* t x)
(* t x)
(* t x)
(* t x)
(* t x)
(* t x)
(* t x)
(* t x)
(* t x)
(* t x)
(* t x)
(* t x)
(* t x)
(* t x)
(* t x)
(* t x)
(* t x)
(* t x)
(* t x)
(* t x)
(* t x)
(* t x)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) z)
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(* -1 (* t x))
(+ (* -1 (* t x)) (* -1 (* t (* x z))))
(+ (* -1 (* t x)) (* z (- (* -1 (* t (* x z))) (* t x))))
(+ (* -1 (* t x)) (* z (- (* z (- (* -1 (* t (* x z))) (* t x))) (* t x))))
(/ (* t x) z)
(/ (+ (* t x) (/ (* t x) z)) z)
(/ (- (+ (* t x) (/ (* t x) (pow z 2))) (* -1 (/ (* t x) z))) z)
(/ (- (+ (* t x) (/ (* t x) (pow z 3))) (+ (* -1 (/ (* t x) z)) (* -1 (/ (* t x) (pow z 2))))) z)
(/ (* t x) z)
(* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (* t x) z))) z))
(* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (+ (* t x) (/ (* t x) z)) z))) z))
(* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* t x)) (* -1 (/ (* t x) z))) z)) (* t x)) z))) z))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ (* t x) (- z 1))
(/ -1 t)
(- (/ z t) (/ 1 t))
(- (/ z t) (/ 1 t))
(- (/ z t) (/ 1 t))
(/ z t)
(* z (- (/ 1 t) (/ 1 (* t z))))
(* z (- (/ 1 t) (/ 1 (* t z))))
(* z (- (/ 1 t) (/ 1 (* t z))))
(/ z t)
(* -1 (* z (- (/ 1 (* t z)) (/ 1 t))))
(* -1 (* z (- (/ 1 (* t z)) (/ 1 t))))
(* -1 (* z (- (/ 1 (* t z)) (/ 1 t))))
(/ (- z 1) t)
(/ (- z 1) t)
(/ (- z 1) t)
(/ (- z 1) t)
(/ (- z 1) t)
(/ (- z 1) t)
(/ (- z 1) t)
(/ (- z 1) t)
(/ (- z 1) t)
(/ (- z 1) t)
(/ (- z 1) t)
(/ (- z 1) t)
-1
(- z 1)
(- z 1)
(- z 1)
z
(* z (- 1 (/ 1 z)))
(* z (- 1 (/ 1 z)))
(* z (- 1 (/ 1 z)))
z
(* -1 (* z (- (/ 1 z) 1)))
(* -1 (* z (- (/ 1 z) 1)))
(* -1 (* z (- (/ 1 z) 1)))
Outputs
(/ (* t x) z)
(/.f64 (*.f64 t x) z)
(+ (/ (* t x) z) (/ (* x y) z))
(/.f64 (*.f64 x (+.f64 t y)) z)
(+ (/ (* t x) z) (/ (* x y) z))
(/.f64 (*.f64 x (+.f64 t y)) z)
(+ (/ (* t x) z) (/ (* x y) z))
(/.f64 (*.f64 x (+.f64 t y)) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* y (+ (/ x z) (/ (* t x) (* y z))))
(/.f64 (*.f64 x (+.f64 t y)) z)
(* y (+ (/ x z) (/ (* t x) (* y z))))
(/.f64 (*.f64 x (+.f64 t y)) z)
(* y (+ (/ x z) (/ (* t x) (* y z))))
(/.f64 (*.f64 x (+.f64 t y)) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y z))))))
(/.f64 (*.f64 x (+.f64 t y)) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y z))))))
(/.f64 (*.f64 x (+.f64 t y)) z)
(* -1 (* y (+ (* -1 (/ x z)) (* -1 (/ (* t x) (* y z))))))
(/.f64 (*.f64 x (+.f64 t y)) z)
(/ (* x y) z)
(/.f64 (*.f64 x y) z)
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eval152.0ms (1.5%)

Compiler

Compiled 20863 to 2175 computations (89.6% saved)

prune264.0ms (2.6%)

Pruning

17 alts after pruning (10 fresh and 7 done)

PrunedKeptTotal
New136551370
Fresh055
Picked235
Done044
Total1367171384
Accuracy
100.0%
Counts
1384 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.3%
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) t)) (+.f64 z #s(literal -1 binary64)))
66.5%
(/.f64 (*.f64 (-.f64 y (*.f64 z t)) x) (*.f64 z (-.f64 #s(literal 1 binary64) z)))
✓62.0%
(/.f64 (*.f64 x y) z)
60.8%
(/.f64 y (/.f64 z x))
✓49.1%
(/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) z) t))
✓63.5%
(/.f64 x (/.f64 z y))
38.6%
(/.f64 x (/.f64 z t))
25.3%
(/.f64 x (/.f64 #s(literal -1 binary64) t))
61.3%
(*.f64 (/.f64 x z) y)
36.6%
(*.f64 (/.f64 x z) t)
✓73.9%
(*.f64 (+.f64 y t) (/.f64 x z))
✓63.0%
(*.f64 x (/.f64 y z))
✓38.6%
(*.f64 x (/.f64 t z))
✓96.5%
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
65.5%
(*.f64 x (-.f64 (/.f64 y z) t))
60.6%
(*.f64 t (+.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 x y) z) t)))
25.4%
(neg.f64 (*.f64 t x))
Compiler

Compiled 504 to 230 computations (54.4% saved)

regimes78.0ms (0.8%)

Counts
35 → 2
Calls
Call 1
Inputs
(neg.f64 (*.f64 t x))
(*.f64 x (/.f64 t z))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x z) t)
(*.f64 (/.f64 x z) y)
(-.f64 #s(literal 0 binary64) (*.f64 x t))
(/.f64 x (/.f64 #s(literal -1 binary64) t))
(/.f64 x (/.f64 z t))
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 x t) z)
(/.f64 (*.f64 x y) z)
(*.f64 x (-.f64 (/.f64 y z) t))
(*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z)))
(*.f64 x (/.f64 (+.f64 y t) z))
(*.f64 (+.f64 y t) (/.f64 x z))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
(/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) z) t))
(/.f64 (*.f64 x (+.f64 y t)) z)
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (+.f64 y t)))
(/.f64 (*.f64 x (-.f64 y (*.f64 z t))) z)
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) t)) (+.f64 z #s(literal -1 binary64)))
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
(*.f64 y (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 t y)) (/.f64 x z)))
(*.f64 t (+.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 x y) z) t)))
(*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 z y)) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
(*.f64 x (-.f64 (/.f64 y z) (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) t))))
(*.f64 x (/.f64 (+.f64 y (*.f64 z (*.f64 t (-.f64 #s(literal -1 binary64) z)))) z))
(/.f64 (*.f64 (-.f64 y (*.f64 z t)) x) (*.f64 z (-.f64 #s(literal 1 binary64) z)))
(*.f64 t (+.f64 (/.f64 x (+.f64 #s(literal -1 binary64) z)) (/.f64 (/.f64 (*.f64 x y) z) t)))
(*.f64 y (-.f64 (/.f64 x z) (/.f64 (*.f64 x t) (*.f64 y (-.f64 #s(literal 1 binary64) z)))))
(/.f64 (*.f64 (-.f64 (*.f64 y (-.f64 #s(literal 1 binary64) z)) (*.f64 z t)) x) (*.f64 z (-.f64 #s(literal 1 binary64) z)))
(*.f64 x (/.f64 (-.f64 (*.f64 y (/.f64 (-.f64 #s(literal 1 binary64) z) t)) z) (*.f64 z (/.f64 (-.f64 #s(literal 1 binary64) z) t))))
(*.f64 x (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (/.f64 z y) t)) (*.f64 (/.f64 z y) (-.f64 #s(literal 1 binary64) z))))
Outputs
(*.f64 (/.f64 x z) y)
(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
Calls

6 calls:

21.0ms
(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))
13.0ms
t
12.0ms
z
11.0ms
x
10.0ms
y
Results
AccuracySegmentsBranch
96.5%1x
96.5%1y
96.5%1z
96.5%1t
98.7%2(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))))
98.7%2(-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))
Compiler

Compiled 48 to 35 computations (27.1% saved)

regimes33.0ms (0.3%)

Counts
23 → 3
Calls
Call 1
Inputs
(neg.f64 (*.f64 t x))
(*.f64 x (/.f64 t z))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x z) t)
(*.f64 (/.f64 x z) y)
(-.f64 #s(literal 0 binary64) (*.f64 x t))
(/.f64 x (/.f64 #s(literal -1 binary64) t))
(/.f64 x (/.f64 z t))
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 x t) z)
(/.f64 (*.f64 x y) z)
(*.f64 x (-.f64 (/.f64 y z) t))
(*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z)))
(*.f64 x (/.f64 (+.f64 y t) z))
(*.f64 (+.f64 y t) (/.f64 x z))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
(/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) z) t))
(/.f64 (*.f64 x (+.f64 y t)) z)
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (+.f64 y t)))
(/.f64 (*.f64 x (-.f64 y (*.f64 z t))) z)
(/.f64 (/.f64 x (/.f64 #s(literal 1 binary64) t)) (+.f64 z #s(literal -1 binary64)))
Outputs
(*.f64 x (/.f64 (+.f64 y t) z))
(/.f64 (*.f64 x (-.f64 y (*.f64 z t))) z)
(*.f64 x (/.f64 (+.f64 y t) z))
Calls

4 calls:

8.0ms
t
7.0ms
z
7.0ms
x
7.0ms
y
Results
AccuracySegmentsBranch
82.1%3x
86.0%4y
83.5%3t
97.1%3z
Compiler

Compiled 20 to 16 computations (20% saved)

regimes8.0ms (0.1%)

Counts
21 → 3
Calls
Call 1
Inputs
(neg.f64 (*.f64 t x))
(*.f64 x (/.f64 t z))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x z) t)
(*.f64 (/.f64 x z) y)
(-.f64 #s(literal 0 binary64) (*.f64 x t))
(/.f64 x (/.f64 #s(literal -1 binary64) t))
(/.f64 x (/.f64 z t))
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 x t) z)
(/.f64 (*.f64 x y) z)
(*.f64 x (-.f64 (/.f64 y z) t))
(*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z)))
(*.f64 x (/.f64 (+.f64 y t) z))
(*.f64 (+.f64 y t) (/.f64 x z))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x y)))
(/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) z) t))
(/.f64 (*.f64 x (+.f64 y t)) z)
(*.f64 x (/.f64 (-.f64 #s(literal 0 binary64) t) (-.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z x) (+.f64 y t)))
Outputs
(*.f64 x (/.f64 (+.f64 y t) z))
(*.f64 x (-.f64 (/.f64 y z) t))
(*.f64 x (/.f64 (+.f64 y t) z))
Calls

1 calls:

6.0ms
z
Results
AccuracySegmentsBranch
95.7%3z
Compiler

Compiled 5 to 4 computations (20% saved)

regimes21.0ms (0.2%)

Counts
14 → 3
Calls
Call 1
Inputs
(neg.f64 (*.f64 t x))
(*.f64 x (/.f64 t z))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x z) t)
(*.f64 (/.f64 x z) y)
(-.f64 #s(literal 0 binary64) (*.f64 x t))
(/.f64 x (/.f64 #s(literal -1 binary64) t))
(/.f64 x (/.f64 z t))
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 x t) z)
(/.f64 (*.f64 x y) z)
(*.f64 x (-.f64 (/.f64 y z) t))
(*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z)))
Outputs
(*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z)))
(/.f64 x (/.f64 z y))
(*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z)))
Calls

4 calls:

5.0ms
y
5.0ms
z
5.0ms
x
5.0ms
t
Results
AccuracySegmentsBranch
68.0%2x
81.5%3t
79.7%4y
78.9%3z
Compiler

Compiled 20 to 16 computations (20% saved)

regimes11.0ms (0.1%)

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

2 calls:

6.0ms
z
4.0ms
t
Results
AccuracySegmentsBranch
78.9%3z
74.9%3t
Compiler

Compiled 10 to 8 computations (20% saved)

regimes14.0ms (0.1%)

Counts
12 → 3
Calls
Call 1
Inputs
(neg.f64 (*.f64 t x))
(*.f64 x (/.f64 t z))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x z) t)
(*.f64 (/.f64 x z) y)
(-.f64 #s(literal 0 binary64) (*.f64 x t))
(/.f64 x (/.f64 #s(literal -1 binary64) t))
(/.f64 x (/.f64 z t))
(/.f64 x (/.f64 z y))
(/.f64 y (/.f64 z x))
(/.f64 (*.f64 x t) z)
(/.f64 (*.f64 x y) z)
Outputs
(/.f64 x (/.f64 z t))
(/.f64 x (/.f64 z y))
(*.f64 x (/.f64 t z))
Calls

3 calls:

5.0ms
t
4.0ms
z
4.0ms
y
Results
AccuracySegmentsBranch
74.9%3t
71.9%4y
68.4%3z
Compiler

Compiled 15 to 12 computations (20% saved)

regimes4.0ms (0%)

Counts
8 → 3
Calls
Call 1
Inputs
(neg.f64 (*.f64 t x))
(*.f64 x (/.f64 t z))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x z) t)
(*.f64 (/.f64 x z) y)
(-.f64 #s(literal 0 binary64) (*.f64 x t))
(/.f64 x (/.f64 #s(literal -1 binary64) t))
(/.f64 x (/.f64 z t))
Outputs
(/.f64 x (/.f64 z t))
(*.f64 x (/.f64 y z))
(*.f64 x (/.f64 t z))
Calls

1 calls:

3.0ms
t
Results
AccuracySegmentsBranch
74.7%3t
Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0%)

Counts
7 → 3
Calls
Call 1
Inputs
(neg.f64 (*.f64 t x))
(*.f64 x (/.f64 t z))
(*.f64 x (/.f64 y z))
(*.f64 (/.f64 x z) t)
(*.f64 (/.f64 x z) y)
(-.f64 #s(literal 0 binary64) (*.f64 x t))
(/.f64 x (/.f64 #s(literal -1 binary64) t))
Outputs
(*.f64 x (/.f64 t z))
(*.f64 x (/.f64 y z))
(*.f64 x (/.f64 t z))
Calls

1 calls:

3.0ms
t
Results
AccuracySegmentsBranch
74.7%3t
Compiler

Compiled 5 to 4 computations (20% saved)

regimes25.0ms (0.3%)

Counts
2 → 3
Calls
Call 1
Inputs
(neg.f64 (*.f64 t x))
(*.f64 x (/.f64 t z))
Outputs
(*.f64 x (/.f64 t z))
(neg.f64 (*.f64 t x))
(*.f64 x (/.f64 t z))
Calls

4 calls:

20.0ms
z
2.0ms
y
2.0ms
x
2.0ms
t
Results
AccuracySegmentsBranch
48.4%3z
38.6%1x
38.6%1y
38.6%1t
Compiler

Compiled 20 to 16 computations (20% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(neg.f64 (*.f64 t x))
Outputs
(neg.f64 (*.f64 t x))
Calls

4 calls:

1.0ms
y
1.0ms
x
1.0ms
z
1.0ms
t
Results
AccuracySegmentsBranch
25.4%1x
25.4%1t
25.4%1y
25.4%1z
Compiler

Compiled 20 to 16 computations (20% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-8.538976053347767e+282
-3.8261900903507986e+266
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch34.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
5.6640097452096136e-5
0.0036141972323533713
18.0ms
-16955528501434.754
-0.34226100711929436
Results
22.0ms272×0valid
Compiler

Compiled 464 to 305 computations (34.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 5.0ms (46.4% of total)
ival-sub: 3.0ms (27.8% of total)
ival-mult: 3.0ms (27.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch66.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
45.0ms
3.5403356582582505e-11
5.6640097452096136e-5
18.0ms
-16955528501434.754
-0.34226100711929436
Results
53.0ms304×0valid
Compiler

Compiled 478 to 320 computations (33.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 5.0ms (47.1% of total)
ival-sub: 3.0ms (28.3% of total)
ival-mult: 2.0ms (18.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch32.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
2.6800809469039455e+79
4.1523968655142256e+82
16.0ms
-2.499946262092136e+156
-7.958697023780557e+150
Results
21.0ms272×0valid
Compiler

Compiled 396 to 288 computations (27.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 4.0ms (42.1% of total)
ival-sub: 3.0ms (31.5% of total)
ival-mult: 2.0ms (21% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch74.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
709448246864047.0
1441603163109890.0
62.0ms
-8.755514863464265e+103
-1.7180909237667345e+87
Results
63.0ms240×0valid
Compiler

Compiled 352 to 241 computations (31.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-div: 49.0ms (91.8% of total)
ival-sub: 2.0ms (3.7% of total)
ival-mult: 2.0ms (3.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch39.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
2.6800809469039455e+79
4.1523968655142256e+82
21.0ms
-2.499946262092136e+156
-7.958697023780557e+150
Results
28.0ms272×0valid
Compiler

Compiled 362 to 254 computations (29.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 5.0ms (51.1% of total)
ival-sub: 3.0ms (30.7% of total)
ival-mult: 2.0ms (20.5% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch38.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
2.6800809469039455e+79
4.1523968655142256e+82
19.0ms
-2.499946262092136e+156
-7.958697023780557e+150
Results
25.0ms272×0valid
Compiler

Compiled 362 to 254 computations (29.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 8.0ms (58.8% of total)
ival-sub: 3.0ms (22.1% of total)
ival-mult: 2.0ms (14.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch35.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
2.6800809469039455e+79
4.1523968655142256e+82
17.0ms
-2.499946262092136e+156
-7.958697023780557e+150
Results
23.0ms272×0valid
Compiler

Compiled 362 to 254 computations (29.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 6.0ms (53.3% of total)
ival-sub: 3.0ms (26.7% of total)
ival-mult: 2.0ms (17.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch38.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
14.0ms
0.0036141972323533713
99.26806507771984
21.0ms
-16955528501434.754
-0.34226100711929436
Results
22.0ms288×0valid
Compiler

Compiled 364 to 268 computations (26.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-div: 5.0ms (49.6% of total)
ival-sub: 3.0ms (29.8% of total)
ival-mult: 2.0ms (19.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify41.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
290×distribute-lft-neg-in_binary64
222×unsub-neg_binary64
184×neg-mul-1_binary64
140×neg-sub0_binary64
112×cancel-sign-sub_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081205
1129205
2155205
3172205
4194205
5240205
6336205
7514205
8701205
9865205
10982205
111024205
121027205
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) #s(literal -4999999999999999776976758867680672137135910509455656406145286513092270051171899247993747169198343529904886398316453839048785277932554934376688051573834203877201790654817277398129088042191946101056488196398654247512479919893482671316298083093982265172114949794916231224645058195095552 binary64)) (*.f64 (/.f64 x z) y) (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))))
(if (<=.f64 z #s(literal -4278419646001971/4503599627370496 binary64)) (*.f64 x (/.f64 (+.f64 y t) z)) (if (<=.f64 z #s(literal 4150517416584649/1152921504606846976 binary64)) (/.f64 (*.f64 x (-.f64 y (*.f64 z t))) z) (*.f64 x (/.f64 (+.f64 y t) z))))
(if (<=.f64 z #s(literal -1 binary64)) (*.f64 x (/.f64 (+.f64 y t) z)) (if (<=.f64 z #s(literal 8264141345021879/147573952589676412928 binary64)) (*.f64 x (-.f64 (/.f64 y z) t)) (*.f64 x (/.f64 (+.f64 y t) z))))
(if (<=.f64 t #s(literal -479999999999999984986376368405084679080507143630516745854628223375423571605844126383508864028602766332568583217655958125372002668850610426875206258655232 binary64)) (*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z))) (if (<=.f64 t #s(literal 4199999999999999711508812229219162195296324719516745105160030701536513925129961472 binary64)) (/.f64 x (/.f64 z y)) (*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z)))))
(if (<=.f64 z #s(literal -3099999999999999962534199053605340946790062915056125254350385774181730067228268783730688 binary64)) (*.f64 x (/.f64 t z)) (if (<=.f64 z #s(literal 1050000000000000 binary64)) (*.f64 x (-.f64 (/.f64 y z) t)) (*.f64 x (/.f64 t z))))
(if (<=.f64 t #s(literal -1050000000000000083451894193183225223380418638772480878139616948604628707926215895366211738206236283543061889990792898121254712840699179674325774269153280 binary64)) (/.f64 x (/.f64 z t)) (if (<=.f64 t #s(literal 959999999999999916005621366354576496424640904403181912225990663114212682147823616 binary64)) (/.f64 x (/.f64 z y)) (*.f64 x (/.f64 t z))))
(if (<=.f64 t #s(literal -229999999999999985053025617374296242866622388850907574283168176369331151725238185965278924137460976721651238511648780620273854145318352871841952293715968 binary64)) (/.f64 x (/.f64 z t)) (if (<=.f64 t #s(literal 18000000000000000689319671493127823313199612156473955710481876045197379757957709824 binary64)) (*.f64 x (/.f64 y z)) (*.f64 x (/.f64 t z))))
(if (<=.f64 t #s(literal -12999999999999999438322098794574906741241322790552194538119357436456535537607035931016983603249767945252974976541954879599487129611252739907155155400785920 binary64)) (*.f64 x (/.f64 t z)) (if (<=.f64 t #s(literal 2599999999999999921707637730999659166533941667958396797380109863378900291090907136 binary64)) (*.f64 x (/.f64 y z)) (*.f64 x (/.f64 t z))))
(if (<=.f64 z #s(literal -1 binary64)) (*.f64 x (/.f64 t z)) (if (<=.f64 z #s(literal 1 binary64)) (neg.f64 (*.f64 t x)) (*.f64 x (/.f64 t z))))
(neg.f64 (*.f64 t x))
Outputs
(if (<=.f64 (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z))) #s(literal -4999999999999999776976758867680672137135910509455656406145286513092270051171899247993747169198343529904886398316453839048785277932554934376688051573834203877201790654817277398129088042191946101056488196398654247512479919893482671316298083093982265172114949794916231224645058195095552 binary64)) (*.f64 (/.f64 x z) y) (*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 #s(literal 1 binary64) z)))))
(if (<=.f64 (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))) #s(literal -4999999999999999776976758867680672137135910509455656406145286513092270051171899247993747169198343529904886398316453839048785277932554934376688051573834203877201790654817277398129088042191946101056488196398654247512479919893482671316298083093982265172114949794916231224645058195095552 binary64)) (*.f64 y (/.f64 x z)) (*.f64 (+.f64 (/.f64 y z) (/.f64 t (+.f64 z #s(literal -1 binary64)))) x))
(if (<=.f64 z #s(literal -4278419646001971/4503599627370496 binary64)) (*.f64 x (/.f64 (+.f64 y t) z)) (if (<=.f64 z #s(literal 4150517416584649/1152921504606846976 binary64)) (/.f64 (*.f64 x (-.f64 y (*.f64 z t))) z) (*.f64 x (/.f64 (+.f64 y t) z))))
(if (<=.f64 z #s(literal -1 binary64)) (*.f64 x (/.f64 (+.f64 y t) z)) (if (<=.f64 z #s(literal 8264141345021879/147573952589676412928 binary64)) (*.f64 x (-.f64 (/.f64 y z) t)) (*.f64 x (/.f64 (+.f64 y t) z))))
(if (<=.f64 t #s(literal -479999999999999984986376368405084679080507143630516745854628223375423571605844126383508864028602766332568583217655958125372002668850610426875206258655232 binary64)) (*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z))) (if (<=.f64 t #s(literal 4199999999999999711508812229219162195296324719516745105160030701536513925129961472 binary64)) (/.f64 x (/.f64 z y)) (*.f64 x (/.f64 t (+.f64 #s(literal -1 binary64) z)))))
(if (<=.f64 t #s(literal -479999999999999984986376368405084679080507143630516745854628223375423571605844126383508864028602766332568583217655958125372002668850610426875206258655232 binary64)) (*.f64 x (/.f64 t (+.f64 z #s(literal -1 binary64)))) (if (<=.f64 t #s(literal 4199999999999999711508812229219162195296324719516745105160030701536513925129961472 binary64)) (/.f64 x (/.f64 z y)) (*.f64 x (/.f64 t (+.f64 z #s(literal -1 binary64))))))
(if (<=.f64 z #s(literal -3099999999999999962534199053605340946790062915056125254350385774181730067228268783730688 binary64)) (*.f64 x (/.f64 t z)) (if (<=.f64 z #s(literal 1050000000000000 binary64)) (*.f64 x (-.f64 (/.f64 y z) t)) (*.f64 x (/.f64 t z))))
(if (<=.f64 t #s(literal -1050000000000000083451894193183225223380418638772480878139616948604628707926215895366211738206236283543061889990792898121254712840699179674325774269153280 binary64)) (/.f64 x (/.f64 z t)) (if (<=.f64 t #s(literal 959999999999999916005621366354576496424640904403181912225990663114212682147823616 binary64)) (/.f64 x (/.f64 z y)) (*.f64 x (/.f64 t z))))
(if (<=.f64 t #s(literal -229999999999999985053025617374296242866622388850907574283168176369331151725238185965278924137460976721651238511648780620273854145318352871841952293715968 binary64)) (/.f64 x (/.f64 z t)) (if (<=.f64 t #s(literal 18000000000000000689319671493127823313199612156473955710481876045197379757957709824 binary64)) (*.f64 x (/.f64 y z)) (*.f64 x (/.f64 t z))))
(if (<=.f64 t #s(literal -229999999999999985053025617374296242866622388850907574283168176369331151725238185965278924137460976721651238511648780620273854145318352871841952293715968 binary64)) (/.f64 x (/.f64 z t)) (if (<=.f64 t #s(literal 18000000000000000689319671493127823313199612156473955710481876045197379757957709824 binary64)) (*.f64 (/.f64 y z) x) (*.f64 x (/.f64 t z))))
(if (<=.f64 t #s(literal -12999999999999999438322098794574906741241322790552194538119357436456535537607035931016983603249767945252974976541954879599487129611252739907155155400785920 binary64)) (*.f64 x (/.f64 t z)) (if (<=.f64 t #s(literal 2599999999999999921707637730999659166533941667958396797380109863378900291090907136 binary64)) (*.f64 x (/.f64 y z)) (*.f64 x (/.f64 t z))))
(if (<=.f64 t #s(literal -12999999999999999438322098794574906741241322790552194538119357436456535537607035931016983603249767945252974976541954879599487129611252739907155155400785920 binary64)) (*.f64 x (/.f64 t z)) (if (<=.f64 t #s(literal 2599999999999999921707637730999659166533941667958396797380109863378900291090907136 binary64)) (*.f64 (/.f64 y z) x) (*.f64 x (/.f64 t z))))
(if (<=.f64 z #s(literal -1 binary64)) (*.f64 x (/.f64 t z)) (if (<=.f64 z #s(literal 1 binary64)) (neg.f64 (*.f64 t x)) (*.f64 x (/.f64 t z))))
(if (<=.f64 z #s(literal -1 binary64)) (*.f64 x (/.f64 t z)) (if (<=.f64 z #s(literal 1 binary64)) (*.f64 t (-.f64 #s(literal 0 binary64) x)) (*.f64 x (/.f64 t z))))
(neg.f64 (*.f64 t x))
(*.f64 t (-.f64 #s(literal 0 binary64) x))

soundness2.5s (24.9%)

Rules
4672×*-lowering-*.f32
4672×*-lowering-*.f64
4618×/-lowering-/.f32
4618×/-lowering-/.f64
4370×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02031296
16651198
221361163
374771163
083321163
01748
19648
276848
0843048
02443244
18273095
227863016
083883016
03915608
113934962
247294906
087424906
01031
16031
264431
0838031
01981
111881
2121077
0865477
026118
1192118
21893118
08573118
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 774 to 440 computations (43.2% saved)

preprocess141.0ms (1.4%)

Remove

(negabs x)

Compiler

Compiled 784 to 292 computations (62.8% saved)

end0.0ms (0%)

Profiling

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