Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, B

Time bar (total: 12.5s)

analyze361.0ms (2.9%)

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

Compiled 25 to 19 computations (24% saved)

Precisions
Click to see histograms. Total time spent on operations: 187.0ms
...c/correct-round.rkt:119:19: 110.0ms (58.9% of total)
ival-mult: 38.0ms (20.3% of total)
ival-add: 33.0ms (17.7% of total)
ival-div: 5.0ms (2.7% of total)
const: 1.0ms (0.5% of total)
backward-pass: 1.0ms (0.5% of total)

sample2.6s (21%)

Results
2.2s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.8s
...c/correct-round.rkt:119:19: 1.1s (62.1% of total)
ival-mult: 318.0ms (17.3% of total)
ival-add: 310.0ms (16.9% of total)
ival-div: 56.0ms (3.1% of total)
const: 7.0ms (0.4% of total)
backward-pass: 3.0ms (0.2% of total)
Bogosity

preprocess121.0ms (1%)

Algorithm
2×egg-herbie
Rules
1258×fmsub-define
1238×fma-define
1168×fma-define
1072×fnmsub-define
1038×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061193
1183175
2499170
31860170
46626170
01818
13817
27317
318017
436617
562217
688817
7113617
8137017
9143717
10143817
0143817
Stop Event
1×iter limit
1×saturated
1×node limit
Calls
Call 1
Inputs
(+ x (/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
Outputs
(+ x (/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64))))
Call 2
Inputs
(+ x (/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+ (neg x) (/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+ x (/ (* (neg y) (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+ x (/ (* y (+ (* (+ (* (neg z) 692910599291889/10000000000000000) 307332350656623/625000000000000) (neg z)) 11167812716741/40000000000000)) (+ (* (+ (neg z) 6012459259764103/1000000000000000) (neg z)) 104698244219447/31250000000000)))
(neg (+ (neg x) (/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))))
(neg (+ x (/ (* (neg y) (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))))
(neg (+ x (/ (* y (+ (* (+ (* (neg z) 692910599291889/10000000000000000) 307332350656623/625000000000000) (neg z)) 11167812716741/40000000000000)) (+ (* (+ (neg z) 6012459259764103/1000000000000000) (neg z)) 104698244219447/31250000000000))))
(+ y (/ (* x (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+ z (/ (* y (+ (* (+ (* x 692910599291889/10000000000000000) 307332350656623/625000000000000) x) 11167812716741/40000000000000)) (+ (* (+ x 6012459259764103/1000000000000000) x) 104698244219447/31250000000000)))
(+ x (/ (* z (+ (* (+ (* y 692910599291889/10000000000000000) 307332350656623/625000000000000) y) 11167812716741/40000000000000)) (+ (* (+ y 6012459259764103/1000000000000000) y) 104698244219447/31250000000000)))
Outputs
(+ x (/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(fma y (/ (fnmsub z (fma z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fnmsub z (+ z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(+ (neg x) (/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(fnmsub (fma z (fma z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/ y (fnmsub z (+ z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(+ x (/ (* (neg y) (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(fma (fma z (fma z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/ y (fnmsub z (+ z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(+ x (/ (* y (+ (* (+ (* (neg z) 692910599291889/10000000000000000) 307332350656623/625000000000000) (neg z)) 11167812716741/40000000000000)) (+ (* (+ (neg z) 6012459259764103/1000000000000000) (neg z)) 104698244219447/31250000000000)))
(fma (fma z (fnmsub z -692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/ y (fma z (+ z -6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(neg (+ (neg x) (/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))))
(fma (fma z (fma z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/ y (fnmsub z (+ z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(neg (+ x (/ (* (neg y) (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))))
(fnmsub (fma z (fma z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/ y (fnmsub z (+ z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(neg (+ x (/ (* y (+ (* (+ (* (neg z) 692910599291889/10000000000000000) 307332350656623/625000000000000) (neg z)) 11167812716741/40000000000000)) (+ (* (+ (neg z) 6012459259764103/1000000000000000) (neg z)) 104698244219447/31250000000000))))
(fnmsub (fma z (fnmsub z -692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/ y (fma z (+ z -6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
(+ y (/ (* x (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(fma x (/ (fnmsub z (fma z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fnmsub z (+ z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) y)
(+ z (/ (* y (+ (* (+ (* x 692910599291889/10000000000000000) 307332350656623/625000000000000) x) 11167812716741/40000000000000)) (+ (* (+ x 6012459259764103/1000000000000000) x) 104698244219447/31250000000000)))
(fma (fma x (fma x 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/ y (fma x (+ x 6012459259764103/1000000000000000) 104698244219447/31250000000000)) z)
(+ x (/ (* z (+ (* (+ (* y 692910599291889/10000000000000000) 307332350656623/625000000000000) y) 11167812716741/40000000000000)) (+ (* (+ y 6012459259764103/1000000000000000) y) 104698244219447/31250000000000)))
(fma z (/ (fma y (fma y 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma y (+ y 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)

explain212.0ms (1.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
810-0-(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))
100-0-(*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64)))
00-0-x
00-0-(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))
00-0-(*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z)
00-0-#s(literal 11167812716741/40000000000000 binary64)
00-0-z
00-0-(+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))
00-0-#s(literal 307332350656623/625000000000000 binary64)
00-0-(*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z)
00-0-#s(literal 6012459259764103/1000000000000000 binary64)
00-0-(+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))
00-0-y
00-0-(+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))
00-0-#s(literal 692910599291889/10000000000000000 binary64)
00-0-(*.f64 z #s(literal 692910599291889/10000000000000000 binary64))
00-0-(+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))
00-0-#s(literal 104698244219447/31250000000000 binary64)
Results
130.0ms512×0valid
Compiler

Compiled 228 to 56 computations (75.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
...c/correct-round.rkt:119:19: 39.0ms (52.7% of total)
ival-mult: 16.0ms (21.6% of total)
ival-add: 14.0ms (18.9% of total)
ival-div: 3.0ms (4.1% of total)
const: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 24 to 18 computations (25% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶68.6%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))
Compiler

Compiled 24 to 18 computations (25% saved)

simplify89.0ms (0.7%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))
✓cost-diff0
(*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64)))
✓cost-diff0
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))
✓cost-diff0
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))
Rules
1168×fma-define
1038×fma-lowering-fma.f32
1038×fma-lowering-fma.f64
394×*-lowering-*.f32
394×*-lowering-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01885
13884
27384
318084
436684
562284
688884
7113684
8137084
9143784
10143884
0143884
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ x (/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
x
(/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
(* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
y
(+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)
(* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z)
(+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)
(* z 692910599291889/10000000000000000)
z
692910599291889/10000000000000000
307332350656623/625000000000000
11167812716741/40000000000000
(+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)
(* (+ z 6012459259764103/1000000000000000) z)
(+ z 6012459259764103/1000000000000000)
6012459259764103/1000000000000000
104698244219447/31250000000000
Outputs
(+ x (/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64))))
x
(/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
(/.f64 (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64)))
(* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
(*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64)))
y
(+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)
(+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64))
(* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z)
(*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)))
(+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)
(+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))
(* z 692910599291889/10000000000000000)
(*.f64 z #s(literal 692910599291889/10000000000000000 binary64))
z
692910599291889/10000000000000000
#s(literal 692910599291889/10000000000000000 binary64)
307332350656623/625000000000000
#s(literal 307332350656623/625000000000000 binary64)
11167812716741/40000000000000
#s(literal 11167812716741/40000000000000 binary64)
(+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)
(+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64))
(* (+ z 6012459259764103/1000000000000000) z)
(*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)))
(+ z 6012459259764103/1000000000000000)
(+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))
6012459259764103/1000000000000000
#s(literal 6012459259764103/1000000000000000 binary64)
104698244219447/31250000000000
#s(literal 104698244219447/31250000000000 binary64)

localize122.0ms (1%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z)
✓accuracy99.2%
(*.f64 z #s(literal 692910599291889/10000000000000000 binary64))
✓accuracy95.9%
(*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64)))
✓accuracy69.4%
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))
Results
101.0ms256×0valid
Compiler

Compiled 102 to 19 computations (81.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-mult: 25.0ms (44.7% of total)
...c/correct-round.rkt:119:19: 22.0ms (39.3% of total)
ival-add: 7.0ms (12.5% of total)
ival-div: 2.0ms (3.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series21.0ms (0.2%)

Counts
6 → 120
Calls
Call 1
Inputs
#<alt (+ x (/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))>
#<alt (/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))>
#<alt (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000))>
#<alt (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)>
#<alt (* z 692910599291889/10000000000000000)>
#<alt (* (+ z 6012459259764103/1000000000000000) z)>
Outputs
#<alt (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))>
#<alt (+ x (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))>
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#<alt (* 692910599291889/10000000000000000 z)>
#<alt (* 692910599291889/10000000000000000 z)>
#<alt (* 692910599291889/10000000000000000 z)>
#<alt (* 692910599291889/10000000000000000 z)>
#<alt (* 692910599291889/10000000000000000 z)>
#<alt (* 692910599291889/10000000000000000 z)>
#<alt (* 6012459259764103/1000000000000000 z)>
#<alt (* z (+ 6012459259764103/1000000000000000 z))>
#<alt (* z (+ 6012459259764103/1000000000000000 z))>
#<alt (* z (+ 6012459259764103/1000000000000000 z))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))>
Calls

30 calls:

TimeVariablePointExpression
3.0ms
x
@0
(+ x (/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
2.0ms
z
@-inf
(* z 692910599291889/10000000000000000)
2.0ms
z
@-inf
(* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
1.0ms
z
@0
(+ x (/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
1.0ms
y
@inf
(+ x (/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))

rewrite398.0ms (3.2%)

Algorithm
1×batch-egg-rewrite
Rules
4592×*-lowering-*.f32
4592×*-lowering-*.f64
3206×/-lowering-/.f32
3206×/-lowering-/.f64
2220×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01858
111557
295757
0870857
Stop Event
1×iter limit
1×node limit
Counts
6 → 223
Calls
Call 1
Inputs
(+ x (/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
(* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
(+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)
(* z 692910599291889/10000000000000000)
(* (+ z 6012459259764103/1000000000000000) z)
Outputs
(+.f64 x (/.f64 y (/.f64 (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64)) (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64)))))
(+.f64 (/.f64 y (/.f64 (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64)) (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64)))) x)
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 y (/.f64 (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64)) (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64)))))) (neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64)) (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64))) (*.f64 (/.f64 y (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64))) (/.f64 y (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64))))) (-.f64 x (/.f64 y (/.f64 (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64)) (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64))))))))
(-.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64))) (-.f64 #s(literal -104698244219447/31250000000000 binary64) (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 y (/.f64 (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64)) (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64)))))) (/.f64 (*.f64 (*.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64)) (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64))) (*.f64 (/.f64 y (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64))) (/.f64 y (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64))))) (-.f64 x (/.f64 y (/.f64 (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64)) (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64)))))))
(-.f64 (/.f64 (*.f64 (*.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64)) (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64))) (*.f64 (/.f64 y (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64))) (/.f64 y (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64))))) (-.f64 (/.f64 y (/.f64 (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64)) (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64)))) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 y (/.f64 (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64)) (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64)))) x)))
(fma.f64 y (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64)) (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64))) x)
(fma.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64)) (/.f64 y (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64))) x)
(fma.f64 (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64))) x)
(fma.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64))) x)
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(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64))) (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64))) x)
(fma.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64)) (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64))) y x)
(fma.f64 (/.f64 (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) (*.f64 z (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)))))) #s(literal 1147673082894964476557575335949564252827623/30517578125000000000000000000000000000000 binary64))) (+.f64 (*.f64 z (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))))) (+.f64 #s(literal 10961722342634967150292985809/976562500000000000000000000 binary64) (*.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal -104698244219447/31250000000000 binary64)))) x)
(fma.f64 (/.f64 (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 z (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))))) #s(literal -10961722342634967150292985809/976562500000000000000000000 binary64))) (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal -104698244219447/31250000000000 binary64)) x)
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(*.f64 (*.f64 z (+.f64 (*.f64 z z) #s(literal -36149666350323105395943207394609/1000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -6012459259764103/1000000000000000 binary64))))
(*.f64 (*.f64 (+.f64 (*.f64 z (*.f64 z z)) #s(literal 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 binary64)) z) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z z) (-.f64 #s(literal 36149666350323105395943207394609/1000000000000000000000000000000 binary64) (*.f64 z #s(literal 6012459259764103/1000000000000000 binary64))))))
(*.f64 (*.f64 (+.f64 (*.f64 z z) #s(literal -36149666350323105395943207394609/1000000000000000000000000000000 binary64)) z) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -6012459259764103/1000000000000000 binary64))))

simplify301.0ms (2.4%)

Algorithm
1×egg-herbie
Rules
3768×+-lowering-+.f64
3768×+-lowering-+.f32
2500×*-lowering-*.f32
2500×*-lowering-*.f64
1902×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01941878
16541594
222911476
081201476
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
Calls
Call 1
Inputs
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))
(+ x (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))
(+ x (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))
(+ x (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))
x
(* x (+ 1 (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))))
(* x (+ 1 (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))))
(* x (+ 1 (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))))
x
(* -1 (* x (- (* -1 (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))) 1)))
(* -1 (* x (- (* -1 (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))) 1)))
(* -1 (* x (- (* -1 (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))) 1)))
x
(+ x (* y (+ (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) (/ (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))))
(+ x (* y (+ (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) (/ (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))))
(+ x (* y (+ (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) (/ (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))))
(* y (+ (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) (/ (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))
(* y (+ (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) (+ (/ x y) (/ (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))))
(* y (+ (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) (+ (/ x y) (/ (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))))
(* y (+ (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) (+ (/ x y) (/ (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))))
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))))
(* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))))
(+ x (* 279195317918525/3350343815022304 y))
(+ x (+ (* 279195317918525/3350343815022304 y) (* z (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y)))))
(+ x (+ (* 279195317918525/3350343815022304 y) (* z (- (+ (* 307332350656623/2093964884388940 y) (* z (- (* 692910599291889/33503438150223040 y) (+ (* 272651677654809570312500000/10961722342634967150292985809 y) (* 6012459259764103/3350343815022304 (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))))))) (* 1678650474502018223880473708075/11224803678858206361900017468416 y)))))
(+ x (+ (* 279195317918525/3350343815022304 y) (* z (- (+ (* 307332350656623/2093964884388940 y) (* z (- (+ (* -1 (* z (+ (* 31250000000000/104698244219447 (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))) (* 6012459259764103/3350343815022304 (- (* 692910599291889/33503438150223040 y) (+ (* 272651677654809570312500000/10961722342634967150292985809 y) (* 6012459259764103/3350343815022304 (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))))))))) (* 692910599291889/33503438150223040 y)) (+ (* 272651677654809570312500000/10961722342634967150292985809 y) (* 6012459259764103/3350343815022304 (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))))))) (* 1678650474502018223880473708075/11224803678858206361900017468416 y)))))
(+ x (* 692910599291889/10000000000000000 y))
(- (+ x (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z)))) (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z)))
(- (+ x (+ (* 692910599291889/10000000000000000 y) (+ (* 11167812716741/40000000000000 (/ y (pow z 2))) (* 307332350656623/625000000000000 (/ y z))))) (+ (* 72546523146905574025723165383/312500000000000000000000000000 (/ y (pow z 2))) (+ (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z)) (* 6012459259764103/1000000000000000 (/ (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y)) (pow z 2))))))
(- (+ x (+ (* -1 (/ (+ (* 104698244219447/31250000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))) (* 6012459259764103/1000000000000000 (- (* 11167812716741/40000000000000 y) (+ (* 72546523146905574025723165383/312500000000000000000000000000 y) (* 6012459259764103/1000000000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))))))) (pow z 3))) (+ (* 692910599291889/10000000000000000 y) (+ (* 11167812716741/40000000000000 (/ y (pow z 2))) (* 307332350656623/625000000000000 (/ y z)))))) (+ (* 72546523146905574025723165383/312500000000000000000000000000 (/ y (pow z 2))) (+ (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z)) (* 6012459259764103/1000000000000000 (/ (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y)) (pow z 2))))))
(+ x (* 692910599291889/10000000000000000 y))
(+ x (+ (* -1 (/ (- (* -307332350656623/625000000000000 y) (* -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (* 692910599291889/10000000000000000 y)))
(+ x (+ (* -1 (/ (- (+ (* -1 (/ (- (* 11167812716741/40000000000000 y) (+ (* -6012459259764103/1000000000000000 (- (* -307332350656623/625000000000000 y) (* -4166096748901211929300981260567/10000000000000000000000000000000 y))) (* 72546523146905574025723165383/312500000000000000000000000000 y))) z)) (* -307332350656623/625000000000000 y)) (* -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (* 692910599291889/10000000000000000 y)))
(+ x (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -6012459259764103/1000000000000000 (/ (- (* 11167812716741/40000000000000 y) (+ (* -6012459259764103/1000000000000000 (- (* -307332350656623/625000000000000 y) (* -4166096748901211929300981260567/10000000000000000000000000000000 y))) (* 72546523146905574025723165383/312500000000000000000000000000 y))) z)) (+ (* 11167812716741/40000000000000 y) (* 104698244219447/31250000000000 (/ (- (* -307332350656623/625000000000000 y) (* -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)))) (+ (* -6012459259764103/1000000000000000 (- (* -307332350656623/625000000000000 y) (* -4166096748901211929300981260567/10000000000000000000000000000000 y))) (* 72546523146905574025723165383/312500000000000000000000000000 y))) z)) (* -307332350656623/625000000000000 y)) (* -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (* 692910599291889/10000000000000000 y)))
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))
(* 279195317918525/3350343815022304 y)
(+ (* 279195317918525/3350343815022304 y) (* z (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))))
(+ (* 279195317918525/3350343815022304 y) (* z (- (+ (* 307332350656623/2093964884388940 y) (* z (- (* 692910599291889/33503438150223040 y) (+ (* 272651677654809570312500000/10961722342634967150292985809 y) (* 6012459259764103/3350343815022304 (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))))))) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))))
(+ (* 279195317918525/3350343815022304 y) (* z (- (+ (* 307332350656623/2093964884388940 y) (* z (- (+ (* -1 (* z (+ (* 31250000000000/104698244219447 (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))) (* 6012459259764103/3350343815022304 (- (* 692910599291889/33503438150223040 y) (+ (* 272651677654809570312500000/10961722342634967150292985809 y) (* 6012459259764103/3350343815022304 (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))))))))) (* 692910599291889/33503438150223040 y)) (+ (* 272651677654809570312500000/10961722342634967150292985809 y) (* 6012459259764103/3350343815022304 (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))))))) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))))
(* 692910599291889/10000000000000000 y)
(- (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z))) (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z)))
(- (+ (* 692910599291889/10000000000000000 y) (+ (* 11167812716741/40000000000000 (/ y (pow z 2))) (* 307332350656623/625000000000000 (/ y z)))) (+ (* 72546523146905574025723165383/312500000000000000000000000000 (/ y (pow z 2))) (+ (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z)) (* 6012459259764103/1000000000000000 (/ (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y)) (pow z 2))))))
(- (+ (* -1 (/ (+ (* 104698244219447/31250000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))) (* 6012459259764103/1000000000000000 (- (* 11167812716741/40000000000000 y) (+ (* 72546523146905574025723165383/312500000000000000000000000000 y) (* 6012459259764103/1000000000000000 (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y))))))) (pow z 3))) (+ (* 692910599291889/10000000000000000 y) (+ (* 11167812716741/40000000000000 (/ y (pow z 2))) (* 307332350656623/625000000000000 (/ y z))))) (+ (* 72546523146905574025723165383/312500000000000000000000000000 (/ y (pow z 2))) (+ (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z)) (* 6012459259764103/1000000000000000 (/ (- (* 307332350656623/625000000000000 y) (* 4166096748901211929300981260567/10000000000000000000000000000000 y)) (pow z 2))))))
(* 692910599291889/10000000000000000 y)
(+ (* -1 (/ (- (* -307332350656623/625000000000000 y) (* -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (* 692910599291889/10000000000000000 y))
(+ (* -1 (/ (- (+ (* -1 (/ (- (* 11167812716741/40000000000000 y) (+ (* -6012459259764103/1000000000000000 (- (* -307332350656623/625000000000000 y) (* -4166096748901211929300981260567/10000000000000000000000000000000 y))) (* 72546523146905574025723165383/312500000000000000000000000000 y))) z)) (* -307332350656623/625000000000000 y)) (* -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (* 692910599291889/10000000000000000 y))
(+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -6012459259764103/1000000000000000 (/ (- (* 11167812716741/40000000000000 y) (+ (* -6012459259764103/1000000000000000 (- (* -307332350656623/625000000000000 y) (* -4166096748901211929300981260567/10000000000000000000000000000000 y))) (* 72546523146905574025723165383/312500000000000000000000000000 y))) z)) (+ (* 11167812716741/40000000000000 y) (* 104698244219447/31250000000000 (/ (- (* -307332350656623/625000000000000 y) (* -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)))) (+ (* -6012459259764103/1000000000000000 (- (* -307332350656623/625000000000000 y) (* -4166096748901211929300981260567/10000000000000000000000000000000 y))) (* 72546523146905574025723165383/312500000000000000000000000000 y))) z)) (* -307332350656623/625000000000000 y)) (* -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (* 692910599291889/10000000000000000 y))
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))
(* 11167812716741/40000000000000 y)
(+ (* 11167812716741/40000000000000 y) (* 307332350656623/625000000000000 (* y z)))
(+ (* 11167812716741/40000000000000 y) (* z (+ (* 692910599291889/10000000000000000 (* y z)) (* 307332350656623/625000000000000 y))))
(+ (* 11167812716741/40000000000000 y) (* z (+ (* 692910599291889/10000000000000000 (* y z)) (* 307332350656623/625000000000000 y))))
(* 692910599291889/10000000000000000 (* y (pow z 2)))
(* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z))))
(* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (+ (* 11167812716741/40000000000000 (/ y (pow z 2))) (* 307332350656623/625000000000000 (/ y z)))))
(* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (+ (* 11167812716741/40000000000000 (/ y (pow z 2))) (* 307332350656623/625000000000000 (/ y z)))))
(* 692910599291889/10000000000000000 (* y (pow z 2)))
(* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z))))
(* (pow z 2) (+ (* -1 (/ (+ (* -307332350656623/625000000000000 y) (* -11167812716741/40000000000000 (/ y z))) z)) (* 692910599291889/10000000000000000 y)))
(* (pow z 2) (+ (* -1 (/ (+ (* -307332350656623/625000000000000 y) (* -11167812716741/40000000000000 (/ y z))) z)) (* 692910599291889/10000000000000000 y)))
11167812716741/40000000000000
(+ 11167812716741/40000000000000 (* 307332350656623/625000000000000 z))
(+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))
(+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))
(* 692910599291889/10000000000000000 (pow z 2))
(* (pow z 2) (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))
(* (pow z 2) (+ 692910599291889/10000000000000000 (+ (/ 11167812716741/40000000000000 (pow z 2)) (* 307332350656623/625000000000000 (/ 1 z)))))
(* (pow z 2) (+ 692910599291889/10000000000000000 (+ (/ 11167812716741/40000000000000 (pow z 2)) (* 307332350656623/625000000000000 (/ 1 z)))))
(* 692910599291889/10000000000000000 (pow z 2))
(* (pow z 2) (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))
(* (pow z 2) (+ 692910599291889/10000000000000000 (+ (/ 11167812716741/40000000000000 (pow z 2)) (* 307332350656623/625000000000000 (/ 1 z)))))
(* (pow z 2) (+ 692910599291889/10000000000000000 (+ (/ 11167812716741/40000000000000 (pow z 2)) (* 307332350656623/625000000000000 (/ 1 z)))))
(* 692910599291889/10000000000000000 z)
(* 692910599291889/10000000000000000 z)
(* 692910599291889/10000000000000000 z)
(* 692910599291889/10000000000000000 z)
(* 692910599291889/10000000000000000 z)
(* 692910599291889/10000000000000000 z)
(* 692910599291889/10000000000000000 z)
(* 692910599291889/10000000000000000 z)
(* 692910599291889/10000000000000000 z)
(* 692910599291889/10000000000000000 z)
(* 692910599291889/10000000000000000 z)
(* 692910599291889/10000000000000000 z)
(* 6012459259764103/1000000000000000 z)
(* z (+ 6012459259764103/1000000000000000 z))
(* z (+ 6012459259764103/1000000000000000 z))
(* z (+ 6012459259764103/1000000000000000 z))
(pow z 2)
(* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))
(* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))
(* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))
(pow z 2)
(* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))
(* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))
(* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))
Outputs
(/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))
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(+ x (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))
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(+ x (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))
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x
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(* x (+ 1 (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))))
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x
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x
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(*.f64 y (+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 z #s(literal 692910599291889/10000000000000000 binary64))))))
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))
(*.f64 y (+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 z #s(literal 692910599291889/10000000000000000 binary64))))))
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))
(*.f64 y (+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 z #s(literal 692910599291889/10000000000000000 binary64))))))
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))
(*.f64 y (+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 z #s(literal 692910599291889/10000000000000000 binary64))))))
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))
(*.f64 y (+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 z #s(literal 692910599291889/10000000000000000 binary64))))))
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))
(*.f64 y (+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 z #s(literal 692910599291889/10000000000000000 binary64))))))
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))
(*.f64 y (+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 z #s(literal 692910599291889/10000000000000000 binary64))))))
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))
(*.f64 y (+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 z #s(literal 692910599291889/10000000000000000 binary64))))))
(* 11167812716741/40000000000000 y)
(*.f64 y #s(literal 11167812716741/40000000000000 binary64))
(+ (* 11167812716741/40000000000000 y) (* 307332350656623/625000000000000 (* y z)))
(*.f64 y (+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z #s(literal 307332350656623/625000000000000 binary64))))
(+ (* 11167812716741/40000000000000 y) (* z (+ (* 692910599291889/10000000000000000 (* y z)) (* 307332350656623/625000000000000 y))))
(*.f64 y (+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 z #s(literal 692910599291889/10000000000000000 binary64))))))
(+ (* 11167812716741/40000000000000 y) (* z (+ (* 692910599291889/10000000000000000 (* y z)) (* 307332350656623/625000000000000 y))))
(*.f64 y (+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 z #s(literal 692910599291889/10000000000000000 binary64))))))
(* 692910599291889/10000000000000000 (* y (pow z 2)))
(*.f64 y (*.f64 z (*.f64 z #s(literal 692910599291889/10000000000000000 binary64))))
(* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z))))
(*.f64 (*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 307332350656623/625000000000000 binary64) z))) (*.f64 z z))
(* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (+ (* 11167812716741/40000000000000 (/ y (pow z 2))) (* 307332350656623/625000000000000 (/ y z)))))
(*.f64 (*.f64 z z) (+.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) (*.f64 (/.f64 y z) (+.f64 #s(literal 307332350656623/625000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) z)))))
(* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (+ (* 11167812716741/40000000000000 (/ y (pow z 2))) (* 307332350656623/625000000000000 (/ y z)))))
(*.f64 (*.f64 z z) (+.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) (*.f64 (/.f64 y z) (+.f64 #s(literal 307332350656623/625000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) z)))))
(* 692910599291889/10000000000000000 (* y (pow z 2)))
(*.f64 y (*.f64 z (*.f64 z #s(literal 692910599291889/10000000000000000 binary64))))
(* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z))))
(*.f64 (*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 307332350656623/625000000000000 binary64) z))) (*.f64 z z))
(* (pow z 2) (+ (* -1 (/ (+ (* -307332350656623/625000000000000 y) (* -11167812716741/40000000000000 (/ y z))) z)) (* 692910599291889/10000000000000000 y)))
(*.f64 (*.f64 z z) (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) (/.f64 (+.f64 (*.f64 y #s(literal -307332350656623/625000000000000 binary64)) (/.f64 (*.f64 y #s(literal -11167812716741/40000000000000 binary64)) z)) z)))
(* (pow z 2) (+ (* -1 (/ (+ (* -307332350656623/625000000000000 y) (* -11167812716741/40000000000000 (/ y z))) z)) (* 692910599291889/10000000000000000 y)))
(*.f64 (*.f64 z z) (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) (/.f64 (+.f64 (*.f64 y #s(literal -307332350656623/625000000000000 binary64)) (/.f64 (*.f64 y #s(literal -11167812716741/40000000000000 binary64)) z)) z)))
11167812716741/40000000000000
#s(literal 11167812716741/40000000000000 binary64)
(+ 11167812716741/40000000000000 (* 307332350656623/625000000000000 z))
(+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z #s(literal 307332350656623/625000000000000 binary64)))
(+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))
(+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)))))
(+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))
(+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)))))
(* 692910599291889/10000000000000000 (pow z 2))
(*.f64 z (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)))
(* (pow z 2) (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 307332350656623/625000000000000 binary64) z)))
(* (pow z 2) (+ 692910599291889/10000000000000000 (+ (/ 11167812716741/40000000000000 (pow z 2)) (* 307332350656623/625000000000000 (/ 1 z)))))
(*.f64 (*.f64 z z) (+.f64 (/.f64 #s(literal 307332350656623/625000000000000 binary64) z) (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z z)))))
(* (pow z 2) (+ 692910599291889/10000000000000000 (+ (/ 11167812716741/40000000000000 (pow z 2)) (* 307332350656623/625000000000000 (/ 1 z)))))
(*.f64 (*.f64 z z) (+.f64 (/.f64 #s(literal 307332350656623/625000000000000 binary64) z) (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z z)))))
(* 692910599291889/10000000000000000 (pow z 2))
(*.f64 z (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)))
(* (pow z 2) (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 307332350656623/625000000000000 binary64) z)))
(* (pow z 2) (+ 692910599291889/10000000000000000 (+ (/ 11167812716741/40000000000000 (pow z 2)) (* 307332350656623/625000000000000 (/ 1 z)))))
(*.f64 (*.f64 z z) (+.f64 (/.f64 #s(literal 307332350656623/625000000000000 binary64) z) (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z z)))))
(* (pow z 2) (+ 692910599291889/10000000000000000 (+ (/ 11167812716741/40000000000000 (pow z 2)) (* 307332350656623/625000000000000 (/ 1 z)))))
(*.f64 (*.f64 z z) (+.f64 (/.f64 #s(literal 307332350656623/625000000000000 binary64) z) (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z z)))))
(* 692910599291889/10000000000000000 z)
(*.f64 z #s(literal 692910599291889/10000000000000000 binary64))
(* 692910599291889/10000000000000000 z)
(*.f64 z #s(literal 692910599291889/10000000000000000 binary64))
(* 692910599291889/10000000000000000 z)
(*.f64 z #s(literal 692910599291889/10000000000000000 binary64))
(* 692910599291889/10000000000000000 z)
(*.f64 z #s(literal 692910599291889/10000000000000000 binary64))
(* 692910599291889/10000000000000000 z)
(*.f64 z #s(literal 692910599291889/10000000000000000 binary64))
(* 692910599291889/10000000000000000 z)
(*.f64 z #s(literal 692910599291889/10000000000000000 binary64))
(* 692910599291889/10000000000000000 z)
(*.f64 z #s(literal 692910599291889/10000000000000000 binary64))
(* 692910599291889/10000000000000000 z)
(*.f64 z #s(literal 692910599291889/10000000000000000 binary64))
(* 692910599291889/10000000000000000 z)
(*.f64 z #s(literal 692910599291889/10000000000000000 binary64))
(* 692910599291889/10000000000000000 z)
(*.f64 z #s(literal 692910599291889/10000000000000000 binary64))
(* 692910599291889/10000000000000000 z)
(*.f64 z #s(literal 692910599291889/10000000000000000 binary64))
(* 692910599291889/10000000000000000 z)
(*.f64 z #s(literal 692910599291889/10000000000000000 binary64))
(* 6012459259764103/1000000000000000 z)
(*.f64 z #s(literal 6012459259764103/1000000000000000 binary64))
(* z (+ 6012459259764103/1000000000000000 z))
(*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)))
(* z (+ 6012459259764103/1000000000000000 z))
(*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)))
(* z (+ 6012459259764103/1000000000000000 z))
(*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 6012459259764103/1000000000000000 binary64) z)))
(* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 6012459259764103/1000000000000000 binary64) z)))
(* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 6012459259764103/1000000000000000 binary64) z)))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 6012459259764103/1000000000000000 binary64) z)))
(* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 6012459259764103/1000000000000000 binary64) z)))
(* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 6012459259764103/1000000000000000 binary64) z)))

eval43.0ms (0.3%)

Compiler

Compiled 12954 to 1079 computations (91.7% saved)

prune58.0ms (0.5%)

Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New32518343
Fresh000
Picked101
Done000
Total32618344
Accuracy
99.9%
Counts
344 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.6%
(-.f64 (+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))) (/.f64 (-.f64 (*.f64 y #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64)) (/.f64 (*.f64 y #s(literal -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 binary64)) z)) z))
74.9%
(+.f64 (/.f64 y (/.f64 (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64)) (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64)))) x)
59.9%
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal -11167812716741/40000000000000 binary64)) (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) (*.f64 z (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))))) #s(literal -124720040876201995101661081/1600000000000000000000000000 binary64)) y))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))
62.3%
(+.f64 x (/.f64 (*.f64 y (*.f64 (-.f64 #s(literal 124720040876201995101661081/1600000000000000000000000000 binary64) (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) (*.f64 z (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))))))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))
43.9%
(+.f64 x (/.f64 (*.f64 y (*.f64 (*.f64 z z) (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 307332350656623/625000000000000 binary64) z)))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))
43.4%
(+.f64 x (/.f64 (*.f64 y (*.f64 z (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))
▶72.6%
(+.f64 x (/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))
▶68.6%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64)) (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64))))))
58.1%
(+.f64 x (+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) (*.f64 z (+.f64 (*.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64)) (*.f64 z (*.f64 y #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))))))
66.5%
(+.f64 x (*.f64 (/.f64 (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 z (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))))) #s(literal -10961722342634967150292985809/976562500000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal -104698244219447/31250000000000 binary64))))))
62.8%
(+.f64 x (*.f64 (/.f64 y (+.f64 (*.f64 z (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))))) #s(literal -10961722342634967150292985809/976562500000000000000000000 binary64))) (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal -104698244219447/31250000000000 binary64))))))
65.3%
(+.f64 x (*.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z))))
63.3%
(+.f64 x (*.f64 y (+.f64 #s(literal 279195317918525/3350343815022304 binary64) (*.f64 #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) z))))
77.6%
(+.f64 x (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)))
▶78.9%
(+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)))
▶38.8%
(*.f64 (+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 z #s(literal 692910599291889/10000000000000000 binary64))))) (/.f64 y (+.f64 #s(literal 104698244219447/31250000000000 binary64) (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))))))
67.1%
(*.f64 y (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 z #s(literal 692910599291889/10000000000000000 binary64))))) (+.f64 #s(literal 104698244219447/31250000000000 binary64) (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)))))))
▶48.3%
x
Compiler

Compiled 824 to 558 computations (32.3% saved)

simplify87.0ms (0.7%)

Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64))
✓cost-diff0
(/.f64 (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64)) (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64))))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64)) (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64)))))
✓cost-diff128
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64)) (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64))))))
✓cost-diff0
(+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)))
✓cost-diff0
(*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 z #s(literal 692910599291889/10000000000000000 binary64))))
✓cost-diff0
(+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)))))
✓cost-diff0
(*.f64 (+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 z #s(literal 692910599291889/10000000000000000 binary64))))) (/.f64 y (+.f64 #s(literal 104698244219447/31250000000000 binary64) (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))))))
✓cost-diff0
(+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))
✓cost-diff0
(*.f64 y #s(literal 11167812716741/40000000000000 binary64))
✓cost-diff0
(/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))
✓cost-diff0
(+.f64 x (/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))
✓cost-diff0
(*.f64 y #s(literal 692910599291889/10000000000000000 binary64))
✓cost-diff0
(+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)))
Rules
2336×fma-define
1474×fma-lowering-fma.f32
1474×fma-lowering-fma.f64
690×*-lowering-*.f32
690×*-lowering-*.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
033225
186222
2208222
3585221
41636221
52691221
63143221
73163221
83163221
93173221
103183221
03183221
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ x (* y 692910599291889/10000000000000000))
x
(* y 692910599291889/10000000000000000)
y
692910599291889/10000000000000000
x
(+ x (/ (* y 11167812716741/40000000000000) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
x
(/ (* y 11167812716741/40000000000000) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
(* y 11167812716741/40000000000000)
y
11167812716741/40000000000000
(+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)
(* (+ z 6012459259764103/1000000000000000) z)
(+ z 6012459259764103/1000000000000000)
z
6012459259764103/1000000000000000
104698244219447/31250000000000
(* (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* z 692910599291889/10000000000000000)))) (/ y (+ 104698244219447/31250000000000 (* z (+ z 6012459259764103/1000000000000000)))))
(+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* z 692910599291889/10000000000000000))))
11167812716741/40000000000000
(* z (+ 307332350656623/625000000000000 (* z 692910599291889/10000000000000000)))
z
(+ 307332350656623/625000000000000 (* z 692910599291889/10000000000000000))
307332350656623/625000000000000
(* z 692910599291889/10000000000000000)
692910599291889/10000000000000000
(/ y (+ 104698244219447/31250000000000 (* z (+ z 6012459259764103/1000000000000000))))
y
(+ 104698244219447/31250000000000 (* z (+ z 6012459259764103/1000000000000000)))
104698244219447/31250000000000
(* z (+ z 6012459259764103/1000000000000000))
(+ z 6012459259764103/1000000000000000)
6012459259764103/1000000000000000
(+ x (/ 1 (/ (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (* y (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))))
x
(/ 1 (/ (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (* y (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))))
1
(/ (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (* y (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))
(+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)
(* z (+ z 6012459259764103/1000000000000000))
z
(+ z 6012459259764103/1000000000000000)
6012459259764103/1000000000000000
104698244219447/31250000000000
(* y (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))
y
(+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)
(* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000))
(+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)
(* z 692910599291889/10000000000000000)
692910599291889/10000000000000000
307332350656623/625000000000000
11167812716741/40000000000000
Outputs
(+ x (* y 692910599291889/10000000000000000))
(+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)))
x
(* y 692910599291889/10000000000000000)
(*.f64 y #s(literal 692910599291889/10000000000000000 binary64))
y
692910599291889/10000000000000000
#s(literal 692910599291889/10000000000000000 binary64)
x
(+ x (/ (* y 11167812716741/40000000000000) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64))))
x
(/ (* y 11167812716741/40000000000000) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
(/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64)))
(* y 11167812716741/40000000000000)
(*.f64 y #s(literal 11167812716741/40000000000000 binary64))
y
11167812716741/40000000000000
#s(literal 11167812716741/40000000000000 binary64)
(+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)
(+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64))
(* (+ z 6012459259764103/1000000000000000) z)
(*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)))
(+ z 6012459259764103/1000000000000000)
(+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))
z
6012459259764103/1000000000000000
#s(literal 6012459259764103/1000000000000000 binary64)
104698244219447/31250000000000
#s(literal 104698244219447/31250000000000 binary64)
(* (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* z 692910599291889/10000000000000000)))) (/ y (+ 104698244219447/31250000000000 (* z (+ z 6012459259764103/1000000000000000)))))
(/.f64 y (/.f64 (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64)) (+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 #s(literal 692910599291889/10000000000000000 binary64) z))))))
(+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* z 692910599291889/10000000000000000))))
(+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 #s(literal 692910599291889/10000000000000000 binary64) z))))
11167812716741/40000000000000
#s(literal 11167812716741/40000000000000 binary64)
(* z (+ 307332350656623/625000000000000 (* z 692910599291889/10000000000000000)))
(*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 #s(literal 692910599291889/10000000000000000 binary64) z)))
z
(+ 307332350656623/625000000000000 (* z 692910599291889/10000000000000000))
(+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 #s(literal 692910599291889/10000000000000000 binary64) z))
307332350656623/625000000000000
#s(literal 307332350656623/625000000000000 binary64)
(* z 692910599291889/10000000000000000)
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) z)
692910599291889/10000000000000000
#s(literal 692910599291889/10000000000000000 binary64)
(/ y (+ 104698244219447/31250000000000 (* z (+ z 6012459259764103/1000000000000000))))
(/.f64 y (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64)))
y
(+ 104698244219447/31250000000000 (* z (+ z 6012459259764103/1000000000000000)))
(+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64))
104698244219447/31250000000000
#s(literal 104698244219447/31250000000000 binary64)
(* z (+ z 6012459259764103/1000000000000000))
(*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)))
(+ z 6012459259764103/1000000000000000)
(+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))
6012459259764103/1000000000000000
#s(literal 6012459259764103/1000000000000000 binary64)
(+ x (/ 1 (/ (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (* y (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))))
(+.f64 x (/.f64 y (/.f64 (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64)) (+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 #s(literal 692910599291889/10000000000000000 binary64) z)))))))
x
(/ 1 (/ (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (* y (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(/.f64 y (/.f64 (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64)) (+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 #s(literal 692910599291889/10000000000000000 binary64) z))))))
1
#s(literal 1 binary64)
(/ (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (* y (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))
(/.f64 (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64)) (*.f64 y (+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 #s(literal 692910599291889/10000000000000000 binary64) z))))))
(+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)
(+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64))
(* z (+ z 6012459259764103/1000000000000000))
(*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)))
z
(+ z 6012459259764103/1000000000000000)
(+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))
6012459259764103/1000000000000000
#s(literal 6012459259764103/1000000000000000 binary64)
104698244219447/31250000000000
#s(literal 104698244219447/31250000000000 binary64)
(* y (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))
(*.f64 y (+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 #s(literal 692910599291889/10000000000000000 binary64) z)))))
y
(+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)
(+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 #s(literal 692910599291889/10000000000000000 binary64) z))))
(* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000))
(*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 #s(literal 692910599291889/10000000000000000 binary64) z)))
(+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)
(+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 #s(literal 692910599291889/10000000000000000 binary64) z))
(* z 692910599291889/10000000000000000)
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) z)
692910599291889/10000000000000000
#s(literal 692910599291889/10000000000000000 binary64)
307332350656623/625000000000000
#s(literal 307332350656623/625000000000000 binary64)
11167812716741/40000000000000
#s(literal 11167812716741/40000000000000 binary64)

localize225.0ms (1.8%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64)) (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64)))))
✓accuracy99.2%
(*.f64 z #s(literal 692910599291889/10000000000000000 binary64))
✓accuracy95.9%
(*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64)))
✓accuracy69.3%
(/.f64 (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64)) (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64))))
✓accuracy99.7%
(*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)))
✓accuracy99.2%
(*.f64 z #s(literal 692910599291889/10000000000000000 binary64))
✓accuracy95.0%
(/.f64 y (+.f64 #s(literal 104698244219447/31250000000000 binary64) (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)))))
✓accuracy71.0%
(*.f64 (+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 z #s(literal 692910599291889/10000000000000000 binary64))))) (/.f64 y (+.f64 #s(literal 104698244219447/31250000000000 binary64) (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))))))
✓accuracy100.0%
(+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))
✓accuracy99.7%
(*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z)
✓accuracy99.1%
(*.f64 y #s(literal 11167812716741/40000000000000 binary64))
✓accuracy94.9%
(/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))
✓accuracy100.0%
(+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)))
✓accuracy99.2%
(*.f64 y #s(literal 692910599291889/10000000000000000 binary64))
Results
165.0ms256×0valid
Compiler

Compiled 260 to 34 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 115.0ms
ival-add: 47.0ms (40.8% of total)
...c/correct-round.rkt:119:19: 44.0ms (38.2% of total)
ival-mult: 16.0ms (13.9% of total)
ival-div: 8.0ms (6.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series28.0ms (0.2%)

Counts
20 → 372
Calls
Call 1
Inputs
#<alt (+ x (* y 692910599291889/10000000000000000))>
#<alt (* y 692910599291889/10000000000000000)>
#<alt (+ x (/ (* y 11167812716741/40000000000000) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))>
#<alt (/ (* y 11167812716741/40000000000000) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))>
#<alt (* y 11167812716741/40000000000000)>
#<alt (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)>
#<alt (* (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* z 692910599291889/10000000000000000)))) (/ y (+ 104698244219447/31250000000000 (* z (+ z 6012459259764103/1000000000000000)))))>
#<alt (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* z 692910599291889/10000000000000000))))>
#<alt (* z (+ 307332350656623/625000000000000 (* z 692910599291889/10000000000000000)))>
#<alt (+ 307332350656623/625000000000000 (* z 692910599291889/10000000000000000))>
#<alt (+ x (/ 1 (/ (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (* y (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))))>
#<alt (/ 1 (/ (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (* y (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))))>
#<alt (/ (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (* y (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))>
#<alt (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)>
#<alt (* (+ z 6012459259764103/1000000000000000) z)>
#<alt (+ z 6012459259764103/1000000000000000)>
#<alt (/ y (+ 104698244219447/31250000000000 (* z (+ z 6012459259764103/1000000000000000))))>
#<alt (* z 692910599291889/10000000000000000)>
#<alt (* z (+ z 6012459259764103/1000000000000000))>
#<alt (* y (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))>
Outputs
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (+ x (* 692910599291889/10000000000000000 y))>
#<alt (+ x (* 692910599291889/10000000000000000 y))>
#<alt (+ x (* 692910599291889/10000000000000000 y))>
#<alt x>
#<alt (* x (+ 1 (* 692910599291889/10000000000000000 (/ y x))))>
#<alt (* x (+ 1 (* 692910599291889/10000000000000000 (/ y x))))>
#<alt (* x (+ 1 (* 692910599291889/10000000000000000 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* -692910599291889/10000000000000000 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -692910599291889/10000000000000000 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -692910599291889/10000000000000000 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* 692910599291889/10000000000000000 y))>
#<alt (+ x (* 692910599291889/10000000000000000 y))>
#<alt (+ x (* 692910599291889/10000000000000000 y))>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (* y (+ 692910599291889/10000000000000000 (/ x y)))>
#<alt (* y (+ 692910599291889/10000000000000000 (/ x y)))>
#<alt (* y (+ 692910599291889/10000000000000000 (/ x y)))>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (* -1 (* y (- (* -1 (/ x y)) 692910599291889/10000000000000000)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 692910599291889/10000000000000000)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 692910599291889/10000000000000000)))>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))>
#<alt (+ x (* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))>
#<alt (+ x (* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))>
#<alt (+ x (* 11167812716741/40000000000000 (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))>
#<alt x>
#<alt (* x (+ 1 (* 11167812716741/40000000000000 (/ y (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))))>
#<alt (* x (+ 1 (* 11167812716741/40000000000000 (/ y (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))))>
#<alt (* x (+ 1 (* 11167812716741/40000000000000 (/ y (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))))>
#<alt x>
#<alt (* -1 (* x (- (* -11167812716741/40000000000000 (/ y (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))) 1)))>
#<alt (* -1 (* x (- (* -11167812716741/40000000000000 (/ y (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))) 1)))>
#<alt (* -1 (* x (- (* -11167812716741/40000000000000 (/ y (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))) 1)))>
#<alt x>
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#<alt (+ 104698244219447/31250000000000 (* 6012459259764103/1000000000000000 z))>
#<alt (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))>
#<alt (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1 (+ (* 6012459259764103/1000000000000000 (/ 1 z)) (/ 104698244219447/31250000000000 (pow z 2)))))>
#<alt (* (pow z 2) (+ 1 (+ (* 6012459259764103/1000000000000000 (/ 1 z)) (/ 104698244219447/31250000000000 (pow z 2)))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1 (+ (* 6012459259764103/1000000000000000 (/ 1 z)) (/ 104698244219447/31250000000000 (pow z 2)))))>
#<alt (* (pow z 2) (+ 1 (+ (* 6012459259764103/1000000000000000 (/ 1 z)) (/ 104698244219447/31250000000000 (pow z 2)))))>
#<alt (* 6012459259764103/1000000000000000 z)>
#<alt (* z (+ 6012459259764103/1000000000000000 z))>
#<alt (* z (+ 6012459259764103/1000000000000000 z))>
#<alt (* z (+ 6012459259764103/1000000000000000 z))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))>
#<alt 6012459259764103/1000000000000000>
#<alt (+ 6012459259764103/1000000000000000 z)>
#<alt (+ 6012459259764103/1000000000000000 z)>
#<alt (+ 6012459259764103/1000000000000000 z)>
#<alt z>
#<alt (* z (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))>
#<alt (* z (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))>
#<alt (* z (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))>
#<alt z>
#<alt (* z (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))>
#<alt (* z (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))>
#<alt (* z (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))>
#<alt (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))>
#<alt (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))>
#<alt (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))>
#<alt (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))>
#<alt (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))>
#<alt (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))>
#<alt (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))>
#<alt (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))>
#<alt (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))>
#<alt (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))>
#<alt (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))>
#<alt (/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))>
#<alt (* 31250000000000/104698244219447 y)>
#<alt (+ (* -5871542245863381835937500000/10961722342634967150292985809 (* y z)) (* 31250000000000/104698244219447 y))>
#<alt (+ (* 31250000000000/104698244219447 y) (* z (- (* -1 (* z (+ (* -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y) (* 976562500000000000000000000/10961722342634967150292985809 y)))) (* 5871542245863381835937500000/10961722342634967150292985809 y))))>
#<alt (+ (* 31250000000000/104698244219447 y) (* z (- (* z (- (* -1 (* z (+ (* -6012459259764103/3350343815022304 (+ (* -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y) (* 976562500000000000000000000/10961722342634967150292985809 y))) (* -183485695183230682373046875000000000000000/1147673082894964476557575335949564252827623 y)))) (+ (* -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y) (* 976562500000000000000000000/10961722342634967150292985809 y)))) (* 5871542245863381835937500000/10961722342634967150292985809 y))))>
#<alt (/ y (pow z 2))>
#<alt (/ (+ y (* -6012459259764103/1000000000000000 (/ y z))) (pow z 2))>
#<alt (/ (- (+ y (* -1 (/ (+ (* -36149666350323105395943207394609/1000000000000000000000000000000 y) (* 104698244219447/31250000000000 y)) (pow z 2)))) (* 6012459259764103/1000000000000000 (/ y z))) (pow z 2))>
#<alt (/ (- (+ y (* -1 (/ (+ (* -629493927938257585512585111041/31250000000000000000000000000 y) (* -6012459259764103/1000000000000000 (+ (* -36149666350323105395943207394609/1000000000000000000000000000000 y) (* 104698244219447/31250000000000 y)))) (pow z 3)))) (+ (* -36149666350323105395943207394609/1000000000000000000000000000000 (/ y (pow z 2))) (+ (* 104698244219447/31250000000000 (/ y (pow z 2))) (* 6012459259764103/1000000000000000 (/ y z))))) (pow z 2))>
#<alt (/ y (pow z 2))>
#<alt (/ (+ y (* -6012459259764103/1000000000000000 (/ y z))) (pow z 2))>
#<alt (/ (+ y (* -1 (/ (- (+ (* -36149666350323105395943207394609/1000000000000000000000000000000 (/ y z)) (* 104698244219447/31250000000000 (/ y z))) (* -6012459259764103/1000000000000000 y)) z))) (pow z 2))>
#<alt (/ (+ y (* -1 (/ (- (* -1 (/ (- (+ (* 6012459259764103/1000000000000000 (/ (+ (* -36149666350323105395943207394609/1000000000000000000000000000000 y) (* 104698244219447/31250000000000 y)) z)) (* 629493927938257585512585111041/31250000000000000000000000000 (/ y z))) (+ (* -36149666350323105395943207394609/1000000000000000000000000000000 y) (* 104698244219447/31250000000000 y))) z)) (* -6012459259764103/1000000000000000 y)) z))) (pow z 2))>
#<alt (* 692910599291889/10000000000000000 z)>
#<alt (* 692910599291889/10000000000000000 z)>
#<alt (* 692910599291889/10000000000000000 z)>
#<alt (* 692910599291889/10000000000000000 z)>
#<alt (* 692910599291889/10000000000000000 z)>
#<alt (* 692910599291889/10000000000000000 z)>
#<alt (* 692910599291889/10000000000000000 z)>
#<alt (* 692910599291889/10000000000000000 z)>
#<alt (* 692910599291889/10000000000000000 z)>
#<alt (* 692910599291889/10000000000000000 z)>
#<alt (* 692910599291889/10000000000000000 z)>
#<alt (* 692910599291889/10000000000000000 z)>
#<alt (* 6012459259764103/1000000000000000 z)>
#<alt (* z (+ 6012459259764103/1000000000000000 z))>
#<alt (* z (+ 6012459259764103/1000000000000000 z))>
#<alt (* z (+ 6012459259764103/1000000000000000 z))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))>
#<alt (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))>
#<alt (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))>
#<alt (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))>
#<alt (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))>
#<alt (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))>
#<alt (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))>
#<alt (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))>
#<alt (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))>
#<alt (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))>
#<alt (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))>
#<alt (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))>
#<alt (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))>
#<alt (* 11167812716741/40000000000000 y)>
#<alt (+ (* 11167812716741/40000000000000 y) (* 307332350656623/625000000000000 (* y z)))>
#<alt (+ (* 11167812716741/40000000000000 y) (* z (+ (* 692910599291889/10000000000000000 (* y z)) (* 307332350656623/625000000000000 y))))>
#<alt (+ (* 11167812716741/40000000000000 y) (* z (+ (* 692910599291889/10000000000000000 (* y z)) (* 307332350656623/625000000000000 y))))>
#<alt (* 692910599291889/10000000000000000 (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z))))>
#<alt (* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (+ (* 11167812716741/40000000000000 (/ y (pow z 2))) (* 307332350656623/625000000000000 (/ y z)))))>
#<alt (* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (+ (* 11167812716741/40000000000000 (/ y (pow z 2))) (* 307332350656623/625000000000000 (/ y z)))))>
#<alt (* 692910599291889/10000000000000000 (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z))))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -307332350656623/625000000000000 y) (* -11167812716741/40000000000000 (/ y z))) z)) (* 692910599291889/10000000000000000 y)))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -307332350656623/625000000000000 y) (* -11167812716741/40000000000000 (/ y z))) z)) (* 692910599291889/10000000000000000 y)))>
Calls

93 calls:

TimeVariablePointExpression
3.0ms
z
@inf
(/ (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (* y (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))
2.0ms
y
@-inf
(* y 11167812716741/40000000000000)
1.0ms
z
@-inf
(+ x (/ (* y 11167812716741/40000000000000) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
1.0ms
z
@0
(+ x (/ (* y 11167812716741/40000000000000) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
1.0ms
y
@0
(/ (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (* y (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))

rewrite489.0ms (3.9%)

Algorithm
1×batch-egg-rewrite
Rules
3998×/-lowering-/.f32
3998×/-lowering-/.f64
3224×*-lowering-*.f32
3224×*-lowering-*.f64
1766×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033162
1251159
22195158
08748158
Stop Event
1×iter limit
1×node limit
Counts
20 → 905
Calls
Call 1
Inputs
(+ x (* y 692910599291889/10000000000000000))
(* y 692910599291889/10000000000000000)
(+ x (/ (* y 11167812716741/40000000000000) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(/ (* y 11167812716741/40000000000000) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
(* y 11167812716741/40000000000000)
(+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)
(* (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* z 692910599291889/10000000000000000)))) (/ y (+ 104698244219447/31250000000000 (* z (+ z 6012459259764103/1000000000000000)))))
(+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* z 692910599291889/10000000000000000))))
(* z (+ 307332350656623/625000000000000 (* z 692910599291889/10000000000000000)))
(+ 307332350656623/625000000000000 (* z 692910599291889/10000000000000000))
(+ x (/ 1 (/ (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (* y (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))))
(/ 1 (/ (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (* y (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(/ (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (* y (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))
(+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)
(* (+ z 6012459259764103/1000000000000000) z)
(+ z 6012459259764103/1000000000000000)
(/ y (+ 104698244219447/31250000000000 (* z (+ z 6012459259764103/1000000000000000))))
(* z 692910599291889/10000000000000000)
(* z (+ z 6012459259764103/1000000000000000))
(* y (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))
Outputs
(+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)))
(+.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 #s(literal -692910599291889/10000000000000000 binary64) y))) (/.f64 (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)) (+.f64 x (*.f64 #s(literal -692910599291889/10000000000000000 binary64) y))))
(-.f64 (/.f64 (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x)))
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) y x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -692910599291889/10000000000000000 binary64) y)) (-.f64 (*.f64 x x) (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x (*.f64 #s(literal -692910599291889/10000000000000000 binary64) y)) (-.f64 (*.f64 x x) (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y))))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y))) (+.f64 x (*.f64 #s(literal -692910599291889/10000000000000000 binary64) y)))
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y))))) (neg.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x)))))
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y))))) (neg.f64 (+.f64 (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)))) (neg.f64 (+.f64 x (*.f64 #s(literal -692910599291889/10000000000000000 binary64) y))))
(/.f64 (-.f64 (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x (*.f64 #s(literal -692910599291889/10000000000000000 binary64) y))) (*.f64 (+.f64 x (*.f64 #s(literal -692910599291889/10000000000000000 binary64) y)) (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)))) (*.f64 (+.f64 x (*.f64 #s(literal -692910599291889/10000000000000000 binary64) y)) (+.f64 x (*.f64 #s(literal -692910599291889/10000000000000000 binary64) y))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y)))))) (neg.f64 (neg.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y))))) (neg.f64 (neg.f64 (+.f64 x (*.f64 #s(literal -692910599291889/10000000000000000 binary64) y)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)) (*.f64 x x))) (neg.f64 (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x)))
(pow.f64 (/.f64 (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x (*.f64 #s(literal -692910599291889/10000000000000000 binary64) y)) (-.f64 (*.f64 x x) (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (*.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x)))))
(*.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 #s(literal -692910599291889/10000000000000000 binary64) y))))
(*.f64 y #s(literal 692910599291889/10000000000000000 binary64))
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
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simplify344.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
3808×*-lowering-*.f32
3808×*-lowering-*.f64
3086×+-lowering-+.f64
3086×+-lowering-+.f32
1506×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04364575
114634017
249623833
083583833
Stop Event
1×iter limit
1×node limit
Counts
372 → 372
Calls
Call 1
Inputs
(* 692910599291889/10000000000000000 y)
(+ x (* 692910599291889/10000000000000000 y))
(+ x (* 692910599291889/10000000000000000 y))
(+ x (* 692910599291889/10000000000000000 y))
x
(* x (+ 1 (* 692910599291889/10000000000000000 (/ y x))))
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x
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(* -1 (* x (- (* -692910599291889/10000000000000000 (/ y x)) 1)))
x
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(* 692910599291889/10000000000000000 y)
(* y (+ 692910599291889/10000000000000000 (/ x y)))
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(* -1 (* y (- (* -1 (/ x y)) 692910599291889/10000000000000000)))
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104698244219447/31250000000000
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(pow z 2)
(* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))
(* (pow z 2) (+ 1 (+ (* 6012459259764103/1000000000000000 (/ 1 z)) (/ 104698244219447/31250000000000 (pow z 2)))))
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(pow z 2)
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(/ 10000000000000000/692910599291889 y)
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(/ 10000000000000000/692910599291889 y)
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(/ (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))) (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))))
(/ (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))) (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))))
(/ (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))) (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))))
(/ (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))) (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))))
(/ (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))) (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))))
(/ (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))) (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))))
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(/ (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))) (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))))
(/ (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))) (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))))
104698244219447/31250000000000
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(+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))
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(pow z 2)
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(* (pow z 2) (+ 1 (+ (* 6012459259764103/1000000000000000 (/ 1 z)) (/ 104698244219447/31250000000000 (pow z 2)))))
(* (pow z 2) (+ 1 (+ (* 6012459259764103/1000000000000000 (/ 1 z)) (/ 104698244219447/31250000000000 (pow z 2)))))
(pow z 2)
(* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))
(* (pow z 2) (+ 1 (+ (* 6012459259764103/1000000000000000 (/ 1 z)) (/ 104698244219447/31250000000000 (pow z 2)))))
(* (pow z 2) (+ 1 (+ (* 6012459259764103/1000000000000000 (/ 1 z)) (/ 104698244219447/31250000000000 (pow z 2)))))
(* 6012459259764103/1000000000000000 z)
(* z (+ 6012459259764103/1000000000000000 z))
(* z (+ 6012459259764103/1000000000000000 z))
(* z (+ 6012459259764103/1000000000000000 z))
(pow z 2)
(* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))
(* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))
(* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))
(pow z 2)
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(* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))
(* (pow z 2) (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))
6012459259764103/1000000000000000
(+ 6012459259764103/1000000000000000 z)
(+ 6012459259764103/1000000000000000 z)
(+ 6012459259764103/1000000000000000 z)
z
(* z (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))
(* z (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))
(* z (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))
z
(* z (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))
(* z (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))
(* z (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))
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(/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))
(/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))
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(/ y (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))
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(/ y (pow z 2))
(/ (+ y (* -6012459259764103/1000000000000000 (/ y z))) (pow z 2))
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(/ (- (+ y (* -1 (/ (+ (* -629493927938257585512585111041/31250000000000000000000000000 y) (* -6012459259764103/1000000000000000 (+ (* -36149666350323105395943207394609/1000000000000000000000000000000 y) (* 104698244219447/31250000000000 y)))) (pow z 3)))) (+ (* -36149666350323105395943207394609/1000000000000000000000000000000 (/ y (pow z 2))) (+ (* 104698244219447/31250000000000 (/ y (pow z 2))) (* 6012459259764103/1000000000000000 (/ y z))))) (pow z 2))
(/ y (pow z 2))
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(/ (+ y (* -1 (/ (- (* -1 (/ (- (+ (* 6012459259764103/1000000000000000 (/ (+ (* -36149666350323105395943207394609/1000000000000000000000000000000 y) (* 104698244219447/31250000000000 y)) z)) (* 629493927938257585512585111041/31250000000000000000000000000 (/ y z))) (+ (* -36149666350323105395943207394609/1000000000000000000000000000000 y) (* 104698244219447/31250000000000 y))) z)) (* -6012459259764103/1000000000000000 y)) z))) (pow z 2))
(* 692910599291889/10000000000000000 z)
(* 692910599291889/10000000000000000 z)
(* 692910599291889/10000000000000000 z)
(* 692910599291889/10000000000000000 z)
(* 692910599291889/10000000000000000 z)
(* 692910599291889/10000000000000000 z)
(* 692910599291889/10000000000000000 z)
(* 692910599291889/10000000000000000 z)
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(* 692910599291889/10000000000000000 z)
(* 692910599291889/10000000000000000 z)
(* 692910599291889/10000000000000000 z)
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(* z (+ 6012459259764103/1000000000000000 z))
(* z (+ 6012459259764103/1000000000000000 z))
(* z (+ 6012459259764103/1000000000000000 z))
(pow z 2)
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(pow z 2)
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(* 11167812716741/40000000000000 y)
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(* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z))))
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(* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (+ (* 11167812716741/40000000000000 (/ y (pow z 2))) (* 307332350656623/625000000000000 (/ y z)))))
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(* (pow z 2) (+ (* -1 (/ (+ (* -307332350656623/625000000000000 y) (* -11167812716741/40000000000000 (/ y z))) z)) (* 692910599291889/10000000000000000 y)))
Outputs
(* 692910599291889/10000000000000000 y)
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(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
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x
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eval236.0ms (1.9%)

Compiler

Compiled 44118 to 3307 computations (92.5% saved)

prune226.0ms (1.8%)

Pruning

23 alts after pruning (20 fresh and 3 done)

PrunedKeptTotal
New1379141393
Fresh7613
Picked235
Done000
Total1388231411
Accuracy
100.0%
Counts
1411 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
41.0%
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y))) (+.f64 x (*.f64 #s(literal -692910599291889/10000000000000000 binary64) y)))
38.9%
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59.6%
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▶69.9%
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27.0%
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28.8%
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43.9%
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43.4%
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▶77.5%
(+.f64 x (/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
▶79.0%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)))
77.6%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3350343815022304/279195317918525 binary64) y)))
75.3%
(+.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 2504069538682520235663395798110/160041699537014921582740396107 binary64) y) (/.f64 #s(literal -11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 binary64) (*.f64 y z))) z))))
72.9%
(+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 3350343815022304/279195317918525 binary64) y) (/.f64 (*.f64 z #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) y))))
▶58.1%
(+.f64 x (+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) (*.f64 z (+.f64 (*.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64)) (*.f64 z (*.f64 y #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))))))
60.3%
(+.f64 x (*.f64 (/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) (-.f64 #s(literal 10961722342634967150292985809/976562500000000000000000000 binary64) (*.f64 (*.f64 z z) (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 104698244219447/31250000000000 binary64) (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))))))))
65.3%
(+.f64 x (*.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z))))
77.6%
(+.f64 x (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)))
✓78.9%
(+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)))
✓38.8%
(*.f64 (+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 z #s(literal 692910599291889/10000000000000000 binary64))))) (/.f64 y (+.f64 #s(literal 104698244219447/31250000000000 binary64) (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))))))
15.0%
(*.f64 (+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 z #s(literal 692910599291889/10000000000000000 binary64))))) (/.f64 y (*.f64 z z)))
31.7%
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
▶32.6%
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
✓48.3%
x
Compiler

Compiled 662 to 482 computations (27.2% saved)

simplify139.0ms (1.1%)

Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(+.f64 (*.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64)) (*.f64 z (*.f64 y #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64))))
✓cost-diff128
(*.f64 z (+.f64 (*.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64)) (*.f64 z (*.f64 y #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))))
✓cost-diff256
(+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) (*.f64 z (+.f64 (*.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64)) (*.f64 z (*.f64 y #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64))))))
✓cost-diff256
(+.f64 x (+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) (*.f64 z (+.f64 (*.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64)) (*.f64 z (*.f64 y #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))))))
✓cost-diff0
(*.f64 (/.f64 y x) #s(literal -692910599291889/10000000000000000 binary64))
✓cost-diff0
(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) #s(literal -692910599291889/10000000000000000 binary64)))
✓cost-diff256
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) #s(literal -692910599291889/10000000000000000 binary64))))
✓cost-diff384
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) #s(literal -692910599291889/10000000000000000 binary64)))))
✓cost-diff0
(*.f64 y #s(literal 11167812716741/40000000000000 binary64))
✓cost-diff128
(/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))
✓cost-diff128
(+.f64 x (/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
✓cost-diff0
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
✓cost-diff0
(/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y))
✓cost-diff128
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)))
Rules
1852×sum5-define
1820×fnmadd-define
1420×sum3-define
1180×sum4-define
1140×fmsub-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
034135
178130
2207125
3487118
41627115
54212115
08103115
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ x (/ 1 (/ 10000000000000000/692910599291889 y)))
x
(/ 1 (/ 10000000000000000/692910599291889 y))
1
(/ 10000000000000000/692910599291889 y)
10000000000000000/692910599291889
y
(* 692910599291889/10000000000000000 y)
692910599291889/10000000000000000
y
(+ x (/ (* y 11167812716741/40000000000000) 104698244219447/31250000000000))
x
(/ (* y 11167812716741/40000000000000) 104698244219447/31250000000000)
(* y 11167812716741/40000000000000)
y
11167812716741/40000000000000
104698244219447/31250000000000
(- 0 (* x (+ -1 (* (/ y x) -692910599291889/10000000000000000))))
0
(* x (+ -1 (* (/ y x) -692910599291889/10000000000000000)))
x
(+ -1 (* (/ y x) -692910599291889/10000000000000000))
-1
(* (/ y x) -692910599291889/10000000000000000)
(/ y x)
y
-692910599291889/10000000000000000
(+ x (+ (* y 279195317918525/3350343815022304) (* z (+ (* y -155900051080628738716045985239/56124018394291031809500087342080) (* z (* y 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))))))
x
(+ (* y 279195317918525/3350343815022304) (* z (+ (* y -155900051080628738716045985239/56124018394291031809500087342080) (* z (* y 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))))
(* y 279195317918525/3350343815022304)
y
279195317918525/3350343815022304
(* z (+ (* y -155900051080628738716045985239/56124018394291031809500087342080) (* z (* y 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))))
z
(+ (* y -155900051080628738716045985239/56124018394291031809500087342080) (* z (* y 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))
(* y -155900051080628738716045985239/56124018394291031809500087342080)
-155900051080628738716045985239/56124018394291031809500087342080
(* z (* y 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))
(* y 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)
149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320
Outputs
(+ x (/ 1 (/ 10000000000000000/692910599291889 y)))
(+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)))
x
(/ 1 (/ 10000000000000000/692910599291889 y))
(*.f64 y #s(literal 692910599291889/10000000000000000 binary64))
1
#s(literal 1 binary64)
(/ 10000000000000000/692910599291889 y)
(/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)
10000000000000000/692910599291889
#s(literal 10000000000000000/692910599291889 binary64)
y
(* 692910599291889/10000000000000000 y)
(*.f64 y #s(literal 692910599291889/10000000000000000 binary64))
692910599291889/10000000000000000
#s(literal 692910599291889/10000000000000000 binary64)
y
(+ x (/ (* y 11167812716741/40000000000000) 104698244219447/31250000000000))
(+.f64 x (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)))
x
(/ (* y 11167812716741/40000000000000) 104698244219447/31250000000000)
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
(* y 11167812716741/40000000000000)
(*.f64 y #s(literal 11167812716741/40000000000000 binary64))
y
11167812716741/40000000000000
#s(literal 11167812716741/40000000000000 binary64)
104698244219447/31250000000000
#s(literal 104698244219447/31250000000000 binary64)
(- 0 (* x (+ -1 (* (/ y x) -692910599291889/10000000000000000))))
(+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)))
0
#s(literal 0 binary64)
(* x (+ -1 (* (/ y x) -692910599291889/10000000000000000)))
(-.f64 (*.f64 y #s(literal -692910599291889/10000000000000000 binary64)) x)
x
(+ -1 (* (/ y x) -692910599291889/10000000000000000))
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 y #s(literal -692910599291889/10000000000000000 binary64)) x))
-1
#s(literal -1 binary64)
(* (/ y x) -692910599291889/10000000000000000)
(/.f64 (*.f64 y #s(literal -692910599291889/10000000000000000 binary64)) x)
(/ y x)
(/.f64 y x)
y
-692910599291889/10000000000000000
#s(literal -692910599291889/10000000000000000 binary64)
(+ x (+ (* y 279195317918525/3350343815022304) (* z (+ (* y -155900051080628738716045985239/56124018394291031809500087342080) (* z (* y 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))))))
(+.f64 x (*.f64 y (+.f64 #s(literal 279195317918525/3350343815022304 binary64) (*.f64 z (+.f64 #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) (*.f64 z #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))))))
x
(+ (* y 279195317918525/3350343815022304) (* z (+ (* y -155900051080628738716045985239/56124018394291031809500087342080) (* z (* y 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))))
(*.f64 y (+.f64 #s(literal 279195317918525/3350343815022304 binary64) (*.f64 z (+.f64 #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) (*.f64 z #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64))))))
(* y 279195317918525/3350343815022304)
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
y
279195317918525/3350343815022304
#s(literal 279195317918525/3350343815022304 binary64)
(* z (+ (* y -155900051080628738716045985239/56124018394291031809500087342080) (* z (* y 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))))
(*.f64 (*.f64 y z) (+.f64 #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) (*.f64 z #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64))))
z
(+ (* y -155900051080628738716045985239/56124018394291031809500087342080) (* z (* y 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))
(*.f64 y (+.f64 #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) (*.f64 z #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64))))
(* y -155900051080628738716045985239/56124018394291031809500087342080)
(*.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64))
-155900051080628738716045985239/56124018394291031809500087342080
#s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64)
(* z (* y 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))
(*.f64 #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64) (*.f64 y z))
(* y 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)
(*.f64 y #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64))
149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320
#s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)

localize185.0ms (1.5%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
✓accuracy99.7%
(*.f64 z (+.f64 (*.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64)) (*.f64 z (*.f64 y #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))))
✓accuracy99.7%
(*.f64 z (*.f64 y #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))
✓accuracy99.5%
(*.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64))
✓accuracy100.0%
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) #s(literal -692910599291889/10000000000000000 binary64)))))
✓accuracy100.0%
(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) #s(literal -692910599291889/10000000000000000 binary64)))
✓accuracy99.1%
(*.f64 (/.f64 y x) #s(literal -692910599291889/10000000000000000 binary64))
✓accuracy84.5%
(*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) #s(literal -692910599291889/10000000000000000 binary64))))
✓accuracy100.0%
(+.f64 x (/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
✓accuracy99.6%
(/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))
✓accuracy99.1%
(*.f64 y #s(literal 11167812716741/40000000000000 binary64))
✓accuracy99.2%
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
✓accuracy100.0%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)))
✓accuracy99.9%
(/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)
✓accuracy99.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y))
Results
145.0ms256×0valid
Compiler

Compiled 159 to 35 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
...c/correct-round.rkt:119:19: 35.0ms (50.5% of total)
ival-mult: 16.0ms (23.1% of total)
ival-add: 9.0ms (13% of total)
ival-div: 8.0ms (11.5% of total)
ival-sub: 1.0ms (1.4% of total)
const: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

series31.0ms (0.2%)

Counts
18 → 360
Calls
Call 1
Inputs
#<alt (+ x (/ 1 (/ 10000000000000000/692910599291889 y)))>
#<alt (/ 1 (/ 10000000000000000/692910599291889 y))>
#<alt (/ 10000000000000000/692910599291889 y)>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (+ x (/ (* y 11167812716741/40000000000000) 104698244219447/31250000000000))>
#<alt (/ (* y 11167812716741/40000000000000) 104698244219447/31250000000000)>
#<alt (* y 11167812716741/40000000000000)>
#<alt (- 0 (* x (+ -1 (* (/ y x) -692910599291889/10000000000000000))))>
#<alt (* x (+ -1 (* (/ y x) -692910599291889/10000000000000000)))>
#<alt (+ -1 (* (/ y x) -692910599291889/10000000000000000))>
#<alt (* (/ y x) -692910599291889/10000000000000000)>
#<alt (+ x (+ (* y 279195317918525/3350343815022304) (* z (+ (* y -155900051080628738716045985239/56124018394291031809500087342080) (* z (* y 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))))))>
#<alt (+ (* y 279195317918525/3350343815022304) (* z (+ (* y -155900051080628738716045985239/56124018394291031809500087342080) (* z (* y 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))))>
#<alt (* z (+ (* y -155900051080628738716045985239/56124018394291031809500087342080) (* z (* y 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))))>
#<alt (+ (* y -155900051080628738716045985239/56124018394291031809500087342080) (* z (* y 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))>
#<alt (* y -155900051080628738716045985239/56124018394291031809500087342080)>
#<alt (* z (* y 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))>
#<alt (* y 279195317918525/3350343815022304)>
Outputs
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (+ x (* 692910599291889/10000000000000000 y))>
#<alt (+ x (* 692910599291889/10000000000000000 y))>
#<alt (+ x (* 692910599291889/10000000000000000 y))>
#<alt x>
#<alt (* x (+ 1 (* 692910599291889/10000000000000000 (/ y x))))>
#<alt (* x (+ 1 (* 692910599291889/10000000000000000 (/ y x))))>
#<alt (* x (+ 1 (* 692910599291889/10000000000000000 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* -692910599291889/10000000000000000 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -692910599291889/10000000000000000 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -692910599291889/10000000000000000 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* 692910599291889/10000000000000000 y))>
#<alt (+ x (* 692910599291889/10000000000000000 y))>
#<alt (+ x (* 692910599291889/10000000000000000 y))>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (* y (+ 692910599291889/10000000000000000 (/ x y)))>
#<alt (* y (+ 692910599291889/10000000000000000 (/ x y)))>
#<alt (* y (+ 692910599291889/10000000000000000 (/ x y)))>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (* -1 (* y (- (* -1 (/ x y)) 692910599291889/10000000000000000)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 692910599291889/10000000000000000)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 692910599291889/10000000000000000)))>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (/ 10000000000000000/692910599291889 y)>
#<alt (/ 10000000000000000/692910599291889 y)>
#<alt (/ 10000000000000000/692910599291889 y)>
#<alt (/ 10000000000000000/692910599291889 y)>
#<alt (/ 10000000000000000/692910599291889 y)>
#<alt (/ 10000000000000000/692910599291889 y)>
#<alt (/ 10000000000000000/692910599291889 y)>
#<alt (/ 10000000000000000/692910599291889 y)>
#<alt (/ 10000000000000000/692910599291889 y)>
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#<alt (+ (* 279195317918525/3350343815022304 y) (* z (+ (* -155900051080628738716045985239/56124018394291031809500087342080 y) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z)))))>
#<alt (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* -155900051080628738716045985239/56124018394291031809500087342080 (/ y z)) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 y)))>
#<alt (* (pow z 2) (+ (* -155900051080628738716045985239/56124018394291031809500087342080 (/ y z)) (+ (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 y) (* 279195317918525/3350343815022304 (/ y (pow z 2))))))>
#<alt (* (pow z 2) (+ (* -155900051080628738716045985239/56124018394291031809500087342080 (/ y z)) (+ (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 y) (* 279195317918525/3350343815022304 (/ y (pow z 2))))))>
#<alt (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* -155900051080628738716045985239/56124018394291031809500087342080 (/ y z)) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 y)))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -279195317918525/3350343815022304 (/ y z)) (* 155900051080628738716045985239/56124018394291031809500087342080 y)) z)) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 y)))>
#<alt (* (pow z 2) (+ (* -1 (/ (+ (* -279195317918525/3350343815022304 (/ y z)) (* 155900051080628738716045985239/56124018394291031809500087342080 y)) z)) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 y)))>
#<alt (* -155900051080628738716045985239/56124018394291031809500087342080 (* y z))>
#<alt (* z (+ (* -155900051080628738716045985239/56124018394291031809500087342080 y) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))))>
#<alt (* z (+ (* -155900051080628738716045985239/56124018394291031809500087342080 y) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))))>
#<alt (* z (+ (* -155900051080628738716045985239/56124018394291031809500087342080 y) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))))>
#<alt (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* -155900051080628738716045985239/56124018394291031809500087342080 (/ y z)) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 y)))>
#<alt (* (pow z 2) (+ (* -155900051080628738716045985239/56124018394291031809500087342080 (/ y z)) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 y)))>
#<alt (* (pow z 2) (+ (* -155900051080628738716045985239/56124018394291031809500087342080 (/ y z)) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 y)))>
#<alt (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* -155900051080628738716045985239/56124018394291031809500087342080 (/ y z)) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 y)))>
#<alt (* (pow z 2) (+ (* -155900051080628738716045985239/56124018394291031809500087342080 (/ y z)) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 y)))>
#<alt (* (pow z 2) (+ (* -155900051080628738716045985239/56124018394291031809500087342080 (/ y z)) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 y)))>
#<alt (* y (* z (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080)))>
#<alt (* y (* z (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080)))>
#<alt (* y (* z (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080)))>
#<alt (* y (* z (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080)))>
#<alt (* y (* z (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080)))>
#<alt (* y (* z (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080)))>
#<alt (* y (* z (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080)))>
#<alt (* y (* z (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080)))>
#<alt (* -1 (* y (* z (+ 155900051080628738716045985239/56124018394291031809500087342080 (* -149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z)))))>
#<alt (* -1 (* y (* z (+ 155900051080628738716045985239/56124018394291031809500087342080 (* -149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z)))))>
#<alt (* -1 (* y (* z (+ 155900051080628738716045985239/56124018394291031809500087342080 (* -149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z)))))>
#<alt (* -1 (* y (* z (+ 155900051080628738716045985239/56124018394291031809500087342080 (* -149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z)))))>
#<alt (* y (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080))>
#<alt (* y (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080))>
#<alt (* y (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080))>
#<alt (* y (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080))>
#<alt (* y (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080))>
#<alt (* y (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080))>
#<alt (* y (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080))>
#<alt (* y (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080))>
#<alt (* -1 (* y (+ 155900051080628738716045985239/56124018394291031809500087342080 (* -149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z))))>
#<alt (* -1 (* y (+ 155900051080628738716045985239/56124018394291031809500087342080 (* -149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z))))>
#<alt (* -1 (* y (+ 155900051080628738716045985239/56124018394291031809500087342080 (* -149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z))))>
#<alt (* -1 (* y (+ 155900051080628738716045985239/56124018394291031809500087342080 (* -149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z))))>
#<alt (* -155900051080628738716045985239/56124018394291031809500087342080 y)>
#<alt (+ (* -155900051080628738716045985239/56124018394291031809500087342080 y) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z)))>
#<alt (+ (* -155900051080628738716045985239/56124018394291031809500087342080 y) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z)))>
#<alt (+ (* -155900051080628738716045985239/56124018394291031809500087342080 y) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z)))>
#<alt (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))>
#<alt (* z (+ (* -155900051080628738716045985239/56124018394291031809500087342080 (/ y z)) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 y)))>
#<alt (* z (+ (* -155900051080628738716045985239/56124018394291031809500087342080 (/ y z)) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 y)))>
#<alt (* z (+ (* -155900051080628738716045985239/56124018394291031809500087342080 (/ y z)) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 y)))>
#<alt (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))>
#<alt (* -1 (* z (+ (* -149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 y) (* 155900051080628738716045985239/56124018394291031809500087342080 (/ y z)))))>
#<alt (* -1 (* z (+ (* -149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 y) (* 155900051080628738716045985239/56124018394291031809500087342080 (/ y z)))))>
#<alt (* -1 (* z (+ (* -149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 y) (* 155900051080628738716045985239/56124018394291031809500087342080 (/ y z)))))>
#<alt (* -155900051080628738716045985239/56124018394291031809500087342080 y)>
#<alt (* -155900051080628738716045985239/56124018394291031809500087342080 y)>
#<alt (* -155900051080628738716045985239/56124018394291031809500087342080 y)>
#<alt (* -155900051080628738716045985239/56124018394291031809500087342080 y)>
#<alt (* -155900051080628738716045985239/56124018394291031809500087342080 y)>
#<alt (* -155900051080628738716045985239/56124018394291031809500087342080 y)>
#<alt (* -155900051080628738716045985239/56124018394291031809500087342080 y)>
#<alt (* -155900051080628738716045985239/56124018394291031809500087342080 y)>
#<alt (* -155900051080628738716045985239/56124018394291031809500087342080 y)>
#<alt (* -155900051080628738716045985239/56124018394291031809500087342080 y)>
#<alt (* -155900051080628738716045985239/56124018394291031809500087342080 y)>
#<alt (* -155900051080628738716045985239/56124018394291031809500087342080 y)>
#<alt (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))>
#<alt (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))>
#<alt (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))>
#<alt (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))>
#<alt (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))>
#<alt (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))>
#<alt (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))>
#<alt (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))>
#<alt (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))>
#<alt (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))>
#<alt (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))>
#<alt (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))>
#<alt (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))>
#<alt (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))>
#<alt (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))>
#<alt (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))>
#<alt (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))>
#<alt (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))>
#<alt (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))>
#<alt (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))>
#<alt (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))>
#<alt (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))>
#<alt (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))>
#<alt (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (* 279195317918525/3350343815022304 y)>
Calls

90 calls:

TimeVariablePointExpression
6.0ms
y
@0
(- 0 (* x (+ -1 (* (/ y x) -692910599291889/10000000000000000))))
4.0ms
y
@inf
(- 0 (* x (+ -1 (* (/ y x) -692910599291889/10000000000000000))))
1.0ms
z
@0
(+ x (+ (* y 279195317918525/3350343815022304) (* z (+ (* y -155900051080628738716045985239/56124018394291031809500087342080) (* z (* y 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))))))
1.0ms
y
@inf
(+ x (+ (* y 279195317918525/3350343815022304) (* z (+ (* y -155900051080628738716045985239/56124018394291031809500087342080) (* z (* y 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))))))
1.0ms
x
@0
(+ x (+ (* y 279195317918525/3350343815022304) (* z (+ (* y -155900051080628738716045985239/56124018394291031809500087342080) (* z (* y 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))))))

rewrite519.0ms (4.2%)

Algorithm
1×batch-egg-rewrite
Rules
3758×*-lowering-*.f32
3758×*-lowering-*.f64
3428×/-lowering-/.f32
3428×/-lowering-/.f64
1552×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034113
1193108
21848107
08100107
Stop Event
1×iter limit
1×node limit
Counts
18 → 694
Calls
Call 1
Inputs
(+ x (/ 1 (/ 10000000000000000/692910599291889 y)))
(/ 1 (/ 10000000000000000/692910599291889 y))
(/ 10000000000000000/692910599291889 y)
(* 692910599291889/10000000000000000 y)
(+ x (/ (* y 11167812716741/40000000000000) 104698244219447/31250000000000))
(/ (* y 11167812716741/40000000000000) 104698244219447/31250000000000)
(* y 11167812716741/40000000000000)
(- 0 (* x (+ -1 (* (/ y x) -692910599291889/10000000000000000))))
(* x (+ -1 (* (/ y x) -692910599291889/10000000000000000)))
(+ -1 (* (/ y x) -692910599291889/10000000000000000))
(* (/ y x) -692910599291889/10000000000000000)
(+ x (+ (* y 279195317918525/3350343815022304) (* z (+ (* y -155900051080628738716045985239/56124018394291031809500087342080) (* z (* y 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))))))
(+ (* y 279195317918525/3350343815022304) (* z (+ (* y -155900051080628738716045985239/56124018394291031809500087342080) (* z (* y 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))))
(* z (+ (* y -155900051080628738716045985239/56124018394291031809500087342080) (* z (* y 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))))
(+ (* y -155900051080628738716045985239/56124018394291031809500087342080) (* z (* y 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320)))
(* y -155900051080628738716045985239/56124018394291031809500087342080)
(* z (* y 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320))
(* y 279195317918525/3350343815022304)
Outputs
(+.f64 x (/.f64 y #s(literal 10000000000000000/692910599291889 binary64)))
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simplify259.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
2530×*-lowering-*.f32
2530×*-lowering-*.f64
1854×fma-lowering-fma.f32
1854×fma-lowering-fma.f64
1472×fmsub-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01452283
14642022
214801964
349171939
082981939
Stop Event
1×iter limit
1×node limit
Counts
360 → 360
Calls
Call 1
Inputs
(* 692910599291889/10000000000000000 y)
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(+ x (* 692910599291889/10000000000000000 y))
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x
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x
(+ x (* 692910599291889/10000000000000000 y))
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(* 692910599291889/10000000000000000 y)
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(+ x (+ (* 279195317918525/3350343815022304 y) (* z (+ (* -155900051080628738716045985239/56124018394291031809500087342080 y) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))))))
(+ x (+ (* 279195317918525/3350343815022304 y) (* z (+ (* -155900051080628738716045985239/56124018394291031809500087342080 y) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))))))
(+ x (+ (* 279195317918525/3350343815022304 y) (* z (+ (* -155900051080628738716045985239/56124018394291031809500087342080 y) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))))))
x
(* x (+ 1 (+ (* 279195317918525/3350343815022304 (/ y x)) (/ (* z (+ (* -155900051080628738716045985239/56124018394291031809500087342080 y) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z)))) x))))
(* x (+ 1 (+ (* 279195317918525/3350343815022304 (/ y x)) (/ (* z (+ (* -155900051080628738716045985239/56124018394291031809500087342080 y) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z)))) x))))
(* x (+ 1 (+ (* 279195317918525/3350343815022304 (/ y x)) (/ (* z (+ (* -155900051080628738716045985239/56124018394291031809500087342080 y) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z)))) x))))
x
(* -1 (* x (- (* -1 (/ (+ (* 279195317918525/3350343815022304 y) (* z (+ (* -155900051080628738716045985239/56124018394291031809500087342080 y) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* 279195317918525/3350343815022304 y) (* z (+ (* -155900051080628738716045985239/56124018394291031809500087342080 y) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))))) x)) 1)))
(* -1 (* x (- (* -1 (/ (+ (* 279195317918525/3350343815022304 y) (* z (+ (* -155900051080628738716045985239/56124018394291031809500087342080 y) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))))) x)) 1)))
x
(+ x (* y (+ 279195317918525/3350343815022304 (* z (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080)))))
(+ x (* y (+ 279195317918525/3350343815022304 (* z (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080)))))
(+ x (* y (+ 279195317918525/3350343815022304 (* z (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080)))))
(* y (+ 279195317918525/3350343815022304 (* z (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080))))
(* y (+ 279195317918525/3350343815022304 (+ (* z (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080)) (/ x y))))
(* y (+ 279195317918525/3350343815022304 (+ (* z (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080)) (/ x y))))
(* y (+ 279195317918525/3350343815022304 (+ (* z (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080)) (/ x y))))
(* -1 (* y (- (* z (+ 155900051080628738716045985239/56124018394291031809500087342080 (* -149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z))) 279195317918525/3350343815022304)))
(* -1 (* y (- (+ (* -1 (/ x y)) (* z (+ 155900051080628738716045985239/56124018394291031809500087342080 (* -149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z)))) 279195317918525/3350343815022304)))
(* -1 (* y (- (+ (* -1 (/ x y)) (* z (+ 155900051080628738716045985239/56124018394291031809500087342080 (* -149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z)))) 279195317918525/3350343815022304)))
(* -1 (* y (- (+ (* -1 (/ x y)) (* z (+ 155900051080628738716045985239/56124018394291031809500087342080 (* -149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z)))) 279195317918525/3350343815022304)))
(+ x (* 279195317918525/3350343815022304 y))
(+ x (+ (* -155900051080628738716045985239/56124018394291031809500087342080 (* y z)) (* 279195317918525/3350343815022304 y)))
(+ x (+ (* 279195317918525/3350343815022304 y) (* z (+ (* -155900051080628738716045985239/56124018394291031809500087342080 y) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))))))
(+ x (+ (* 279195317918525/3350343815022304 y) (* z (+ (* -155900051080628738716045985239/56124018394291031809500087342080 y) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))))))
(* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y (pow z 2)))
(* (pow z 2) (+ (* -155900051080628738716045985239/56124018394291031809500087342080 (/ y z)) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 y)))
(* (pow z 2) (+ (* -155900051080628738716045985239/56124018394291031809500087342080 (/ y z)) (+ (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 y) (+ (* 279195317918525/3350343815022304 (/ y (pow z 2))) (/ x (pow z 2))))))
(* (pow z 2) (+ (* -155900051080628738716045985239/56124018394291031809500087342080 (/ y z)) (+ (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 y) (+ (* 279195317918525/3350343815022304 (/ y (pow z 2))) (/ x (pow z 2))))))
(* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y (pow z 2)))
(* (pow z 2) (+ (* -155900051080628738716045985239/56124018394291031809500087342080 (/ y z)) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 y)))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ x (* 279195317918525/3350343815022304 y)) z)) (* 155900051080628738716045985239/56124018394291031809500087342080 y)) z)) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 y)))
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (/ (+ x (* 279195317918525/3350343815022304 y)) z)) (* 155900051080628738716045985239/56124018394291031809500087342080 y)) z)) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 y)))
(* y (+ 279195317918525/3350343815022304 (* z (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080))))
(* y (+ 279195317918525/3350343815022304 (* z (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080))))
(* y (+ 279195317918525/3350343815022304 (* z (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080))))
(* y (+ 279195317918525/3350343815022304 (* z (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080))))
(* y (+ 279195317918525/3350343815022304 (* z (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080))))
(* y (+ 279195317918525/3350343815022304 (* z (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080))))
(* y (+ 279195317918525/3350343815022304 (* z (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080))))
(* y (+ 279195317918525/3350343815022304 (* z (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080))))
(* -1 (* y (- (* z (+ 155900051080628738716045985239/56124018394291031809500087342080 (* -149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z))) 279195317918525/3350343815022304)))
(* -1 (* y (- (* z (+ 155900051080628738716045985239/56124018394291031809500087342080 (* -149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z))) 279195317918525/3350343815022304)))
(* -1 (* y (- (* z (+ 155900051080628738716045985239/56124018394291031809500087342080 (* -149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z))) 279195317918525/3350343815022304)))
(* -1 (* y (- (* z (+ 155900051080628738716045985239/56124018394291031809500087342080 (* -149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z))) 279195317918525/3350343815022304)))
(* 279195317918525/3350343815022304 y)
(+ (* -155900051080628738716045985239/56124018394291031809500087342080 (* y z)) (* 279195317918525/3350343815022304 y))
(+ (* 279195317918525/3350343815022304 y) (* z (+ (* -155900051080628738716045985239/56124018394291031809500087342080 y) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z)))))
(+ (* 279195317918525/3350343815022304 y) (* z (+ (* -155900051080628738716045985239/56124018394291031809500087342080 y) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z)))))
(* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y (pow z 2)))
(* (pow z 2) (+ (* -155900051080628738716045985239/56124018394291031809500087342080 (/ y z)) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 y)))
(* (pow z 2) (+ (* -155900051080628738716045985239/56124018394291031809500087342080 (/ y z)) (+ (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 y) (* 279195317918525/3350343815022304 (/ y (pow z 2))))))
(* (pow z 2) (+ (* -155900051080628738716045985239/56124018394291031809500087342080 (/ y z)) (+ (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 y) (* 279195317918525/3350343815022304 (/ y (pow z 2))))))
(* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y (pow z 2)))
(* (pow z 2) (+ (* -155900051080628738716045985239/56124018394291031809500087342080 (/ y z)) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 y)))
(* (pow z 2) (+ (* -1 (/ (+ (* -279195317918525/3350343815022304 (/ y z)) (* 155900051080628738716045985239/56124018394291031809500087342080 y)) z)) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 y)))
(* (pow z 2) (+ (* -1 (/ (+ (* -279195317918525/3350343815022304 (/ y z)) (* 155900051080628738716045985239/56124018394291031809500087342080 y)) z)) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 y)))
(* -155900051080628738716045985239/56124018394291031809500087342080 (* y z))
(* z (+ (* -155900051080628738716045985239/56124018394291031809500087342080 y) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))))
(* z (+ (* -155900051080628738716045985239/56124018394291031809500087342080 y) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))))
(* z (+ (* -155900051080628738716045985239/56124018394291031809500087342080 y) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))))
(* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y (pow z 2)))
(* (pow z 2) (+ (* -155900051080628738716045985239/56124018394291031809500087342080 (/ y z)) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 y)))
(* (pow z 2) (+ (* -155900051080628738716045985239/56124018394291031809500087342080 (/ y z)) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 y)))
(* (pow z 2) (+ (* -155900051080628738716045985239/56124018394291031809500087342080 (/ y z)) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 y)))
(* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y (pow z 2)))
(* (pow z 2) (+ (* -155900051080628738716045985239/56124018394291031809500087342080 (/ y z)) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 y)))
(* (pow z 2) (+ (* -155900051080628738716045985239/56124018394291031809500087342080 (/ y z)) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 y)))
(* (pow z 2) (+ (* -155900051080628738716045985239/56124018394291031809500087342080 (/ y z)) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 y)))
(* y (* z (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080)))
(* y (* z (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080)))
(* y (* z (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080)))
(* y (* z (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080)))
(* y (* z (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080)))
(* y (* z (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080)))
(* y (* z (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080)))
(* y (* z (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080)))
(* -1 (* y (* z (+ 155900051080628738716045985239/56124018394291031809500087342080 (* -149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z)))))
(* -1 (* y (* z (+ 155900051080628738716045985239/56124018394291031809500087342080 (* -149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z)))))
(* -1 (* y (* z (+ 155900051080628738716045985239/56124018394291031809500087342080 (* -149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z)))))
(* -1 (* y (* z (+ 155900051080628738716045985239/56124018394291031809500087342080 (* -149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z)))))
(* y (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080))
(* y (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080))
(* y (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080))
(* y (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080))
(* y (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080))
(* y (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080))
(* y (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080))
(* y (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080))
(* -1 (* y (+ 155900051080628738716045985239/56124018394291031809500087342080 (* -149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z))))
(* -1 (* y (+ 155900051080628738716045985239/56124018394291031809500087342080 (* -149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z))))
(* -1 (* y (+ 155900051080628738716045985239/56124018394291031809500087342080 (* -149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z))))
(* -1 (* y (+ 155900051080628738716045985239/56124018394291031809500087342080 (* -149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z))))
(* -155900051080628738716045985239/56124018394291031809500087342080 y)
(+ (* -155900051080628738716045985239/56124018394291031809500087342080 y) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z)))
(+ (* -155900051080628738716045985239/56124018394291031809500087342080 y) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z)))
(+ (* -155900051080628738716045985239/56124018394291031809500087342080 y) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z)))
(* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))
(* z (+ (* -155900051080628738716045985239/56124018394291031809500087342080 (/ y z)) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 y)))
(* z (+ (* -155900051080628738716045985239/56124018394291031809500087342080 (/ y z)) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 y)))
(* z (+ (* -155900051080628738716045985239/56124018394291031809500087342080 (/ y z)) (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 y)))
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(* -1 (* z (+ (* -149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 y) (* 155900051080628738716045985239/56124018394291031809500087342080 (/ y z)))))
(* -1 (* z (+ (* -149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 y) (* 155900051080628738716045985239/56124018394291031809500087342080 (/ y z)))))
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(* 279195317918525/3350343815022304 y)
(* 279195317918525/3350343815022304 y)
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(* -155900051080628738716045985239/56124018394291031809500087342080 y)
(*.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64))
(* -155900051080628738716045985239/56124018394291031809500087342080 y)
(*.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64))
(* -155900051080628738716045985239/56124018394291031809500087342080 y)
(*.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64))
(* -155900051080628738716045985239/56124018394291031809500087342080 y)
(*.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64))
(* -155900051080628738716045985239/56124018394291031809500087342080 y)
(*.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64))
(* -155900051080628738716045985239/56124018394291031809500087342080 y)
(*.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64))
(* -155900051080628738716045985239/56124018394291031809500087342080 y)
(*.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64))
(* -155900051080628738716045985239/56124018394291031809500087342080 y)
(*.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64))
(* -155900051080628738716045985239/56124018394291031809500087342080 y)
(*.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64))
(* -155900051080628738716045985239/56124018394291031809500087342080 y)
(*.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64))
(* -155900051080628738716045985239/56124018394291031809500087342080 y)
(*.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64))
(* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))
(*.f64 y (*.f64 z #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))
(* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))
(*.f64 y (*.f64 z #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))
(* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))
(*.f64 y (*.f64 z #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))
(* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))
(*.f64 y (*.f64 z #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))
(* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))
(*.f64 y (*.f64 z #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))
(* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))
(*.f64 y (*.f64 z #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))
(* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))
(*.f64 y (*.f64 z #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))
(* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))
(*.f64 y (*.f64 z #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))
(* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))
(*.f64 y (*.f64 z #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))
(* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))
(*.f64 y (*.f64 z #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))
(* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))
(*.f64 y (*.f64 z #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))
(* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))
(*.f64 y (*.f64 z #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))
(* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))
(*.f64 y (*.f64 z #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))
(* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))
(*.f64 y (*.f64 z #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))
(* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))
(*.f64 y (*.f64 z #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))
(* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))
(*.f64 y (*.f64 z #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))
(* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))
(*.f64 y (*.f64 z #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))
(* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))
(*.f64 y (*.f64 z #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))
(* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))
(*.f64 y (*.f64 z #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))
(* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))
(*.f64 y (*.f64 z #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))
(* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))
(*.f64 y (*.f64 z #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))
(* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))
(*.f64 y (*.f64 z #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))
(* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))
(*.f64 y (*.f64 z #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))
(* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* y z))
(*.f64 y (*.f64 z #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))
(* 279195317918525/3350343815022304 y)
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
(* 279195317918525/3350343815022304 y)
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
(* 279195317918525/3350343815022304 y)
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
(* 279195317918525/3350343815022304 y)
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
(* 279195317918525/3350343815022304 y)
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
(* 279195317918525/3350343815022304 y)
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
(* 279195317918525/3350343815022304 y)
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
(* 279195317918525/3350343815022304 y)
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
(* 279195317918525/3350343815022304 y)
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
(* 279195317918525/3350343815022304 y)
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
(* 279195317918525/3350343815022304 y)
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
(* 279195317918525/3350343815022304 y)
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))

eval159.0ms (1.3%)

Compiler

Compiled 31906 to 2375 computations (92.6% saved)

prune121.0ms (1%)

Pruning

19 alts after pruning (14 fresh and 5 done)

PrunedKeptTotal
New104861054
Fresh7815
Picked325
Done033
Total1058191077
Accuracy
100.0%
Counts
1077 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶39.1%
(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64)) (*.f64 x x)) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x))
32.8%
(/.f64 y #s(literal 10000000000000000/692910599291889 binary64))
32.6%
(/.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))
59.6%
(-.f64 (+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))) (/.f64 (-.f64 (*.f64 y #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64)) (/.f64 (*.f64 y #s(literal -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 binary64)) z)) z))
27.0%
(+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) (*.f64 z (*.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64))))
▶77.6%
(+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)
▶28.8%
(+.f64 (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) (/.f64 (*.f64 y #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64)) z))
✓79.0%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)))
77.6%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3350343815022304/279195317918525 binary64) y)))
75.3%
(+.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 2504069538682520235663395798110/160041699537014921582740396107 binary64) y) (/.f64 #s(literal -11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 binary64) (*.f64 y z))) z))))
60.3%
(+.f64 x (*.f64 (/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) (-.f64 #s(literal 10961722342634967150292985809/976562500000000000000000000 binary64) (*.f64 (*.f64 z z) (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 104698244219447/31250000000000 binary64) (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))))))))
65.3%
(+.f64 x (*.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z))))
✓78.9%
(+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)))
▶77.4%
(+.f64 x (*.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 y #s(literal 31250000000000/104698244219447 binary64))))
✓38.8%
(*.f64 (+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 z #s(literal 692910599291889/10000000000000000 binary64))))) (/.f64 y (+.f64 #s(literal 104698244219447/31250000000000 binary64) (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))))))
27.7%
(*.f64 y (+.f64 #s(literal 279195317918525/3350343815022304 binary64) (*.f64 z (+.f64 #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) (*.f64 z #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64))))))
▶31.7%
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
✓32.6%
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
✓48.3%
x
Compiler

Compiled 434 to 319 computations (26.5% saved)

simplify124.0ms (1%)

Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y y)
✓cost-diff0
(*.f64 (*.f64 y y) #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64))
✓cost-diff0
(-.f64 (*.f64 (*.f64 y y) #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64)) (*.f64 x x))
✓cost-diff0
(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64)) (*.f64 x x)) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x))
✓cost-diff0
(*.f64 y #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64))
✓cost-diff0
(/.f64 (*.f64 y #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64)) z)
✓cost-diff0
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
✓cost-diff128
(+.f64 (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) (/.f64 (*.f64 y #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64)) z))
✓cost-diff0
(*.f64 y #s(literal 31250000000000/104698244219447 binary64))
✓cost-diff128
(*.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 y #s(literal 31250000000000/104698244219447 binary64)))
✓cost-diff128
(+.f64 x (*.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 y #s(literal 31250000000000/104698244219447 binary64))))
✓cost-diff0
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
✓cost-diff0
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
✓cost-diff0
(+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)
Rules
2358×fnmadd-define
1616×fmsub-define
1574×fnmsub-define
1348×fma-define
1342×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02495
15494
210394
316294
428194
555394
6142694
7351594
8582494
9758694
0801694
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* y 279195317918525/3350343815022304) x)
(* y 279195317918525/3350343815022304)
y
279195317918525/3350343815022304
x
(* y 279195317918525/3350343815022304)
y
279195317918525/3350343815022304
(+ x (* 11167812716741/40000000000000 (* y 31250000000000/104698244219447)))
x
(* 11167812716741/40000000000000 (* y 31250000000000/104698244219447))
11167812716741/40000000000000
(* y 31250000000000/104698244219447)
y
31250000000000/104698244219447
(+ (* 692910599291889/10000000000000000 y) (/ (* y 751220861604756070699018739433/10000000000000000000000000000000) z))
(* 692910599291889/10000000000000000 y)
692910599291889/10000000000000000
y
(/ (* y 751220861604756070699018739433/10000000000000000000000000000000) z)
(* y 751220861604756070699018739433/10000000000000000000000000000000)
751220861604756070699018739433/10000000000000000000000000000000
z
(/ (- (* (* y y) 77950025547626246938538175625/11224803678858206361900017468416) (* x x)) (- (* y 279195317918525/3350343815022304) x))
(- (* (* y y) 77950025547626246938538175625/11224803678858206361900017468416) (* x x))
(* (* y y) 77950025547626246938538175625/11224803678858206361900017468416)
(* y y)
y
77950025547626246938538175625/11224803678858206361900017468416
(* x x)
x
(- (* y 279195317918525/3350343815022304) x)
(* y 279195317918525/3350343815022304)
279195317918525/3350343815022304
Outputs
(+ (* y 279195317918525/3350343815022304) x)
(+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)
(* y 279195317918525/3350343815022304)
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
y
279195317918525/3350343815022304
#s(literal 279195317918525/3350343815022304 binary64)
x
(* y 279195317918525/3350343815022304)
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
y
279195317918525/3350343815022304
#s(literal 279195317918525/3350343815022304 binary64)
(+ x (* 11167812716741/40000000000000 (* y 31250000000000/104698244219447)))
(+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)
x
(* 11167812716741/40000000000000 (* y 31250000000000/104698244219447))
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
11167812716741/40000000000000
#s(literal 11167812716741/40000000000000 binary64)
(* y 31250000000000/104698244219447)
(*.f64 y #s(literal 31250000000000/104698244219447 binary64))
y
31250000000000/104698244219447
#s(literal 31250000000000/104698244219447 binary64)
(+ (* 692910599291889/10000000000000000 y) (/ (* y 751220861604756070699018739433/10000000000000000000000000000000) z))
(*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)))
(* 692910599291889/10000000000000000 y)
(*.f64 y #s(literal 692910599291889/10000000000000000 binary64))
692910599291889/10000000000000000
#s(literal 692910599291889/10000000000000000 binary64)
y
(/ (* y 751220861604756070699018739433/10000000000000000000000000000000) z)
(*.f64 y (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z))
(* y 751220861604756070699018739433/10000000000000000000000000000000)
(*.f64 y #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64))
751220861604756070699018739433/10000000000000000000000000000000
#s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64)
z
(/ (- (* (* y y) 77950025547626246938538175625/11224803678858206361900017468416) (* x x)) (- (* y 279195317918525/3350343815022304) x))
(/.f64 (+.f64 (*.f64 x x) (*.f64 y (*.f64 y #s(literal -77950025547626246938538175625/11224803678858206361900017468416 binary64)))) (+.f64 x (*.f64 y #s(literal -279195317918525/3350343815022304 binary64))))
(- (* (* y y) 77950025547626246938538175625/11224803678858206361900017468416) (* x x))
(-.f64 (*.f64 y (*.f64 y #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64))) (*.f64 x x))
(* (* y y) 77950025547626246938538175625/11224803678858206361900017468416)
(*.f64 y (*.f64 y #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64)))
(* y y)
(*.f64 y y)
y
77950025547626246938538175625/11224803678858206361900017468416
#s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64)
(* x x)
(*.f64 x x)
x
(- (* y 279195317918525/3350343815022304) x)
(-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)
(* y 279195317918525/3350343815022304)
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
279195317918525/3350343815022304
#s(literal 279195317918525/3350343815022304 binary64)

localize132.0ms (1.1%)

Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
✓accuracy99.5%
(*.f64 (*.f64 y y) #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64))
✓accuracy93.8%
(-.f64 (*.f64 (*.f64 y y) #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64)) (*.f64 x x))
✓accuracy50.8%
(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64)) (*.f64 x x)) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x))
✓accuracy100.0%
(+.f64 (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) (/.f64 (*.f64 y #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64)) z))
✓accuracy99.7%
(/.f64 (*.f64 y #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64)) z)
✓accuracy99.7%
(*.f64 y #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64))
✓accuracy99.2%
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
✓accuracy100.0%
(+.f64 x (*.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 y #s(literal 31250000000000/104698244219447 binary64))))
✓accuracy99.5%
(*.f64 y #s(literal 31250000000000/104698244219447 binary64))
✓accuracy99.1%
(*.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 y #s(literal 31250000000000/104698244219447 binary64)))
✓accuracy99.8%
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
✓accuracy100.0%
(+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)
✓accuracy99.8%
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
Results
92.0ms256×0valid
Compiler

Compiled 110 to 25 computations (77.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
...c/correct-round.rkt:119:19: 30.0ms (51.4% of total)
ival-mult: 16.0ms (27.4% of total)
ival-sub: 4.0ms (6.8% of total)
ival-div: 4.0ms (6.8% of total)
ival-add: 4.0ms (6.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series17.0ms (0.1%)

Counts
13 → 228
Calls
Call 1
Inputs
#<alt (+ (* y 279195317918525/3350343815022304) x)>
#<alt (* y 279195317918525/3350343815022304)>
#<alt (+ x (* 11167812716741/40000000000000 (* y 31250000000000/104698244219447)))>
#<alt (* 11167812716741/40000000000000 (* y 31250000000000/104698244219447))>
#<alt (* y 31250000000000/104698244219447)>
#<alt (+ (* 692910599291889/10000000000000000 y) (/ (* y 751220861604756070699018739433/10000000000000000000000000000000) z))>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (/ (* y 751220861604756070699018739433/10000000000000000000000000000000) z)>
#<alt (* y 751220861604756070699018739433/10000000000000000000000000000000)>
#<alt (/ (- (* (* y y) 77950025547626246938538175625/11224803678858206361900017468416) (* x x)) (- (* y 279195317918525/3350343815022304) x))>
#<alt (- (* (* y y) 77950025547626246938538175625/11224803678858206361900017468416) (* x x))>
#<alt (* (* y y) 77950025547626246938538175625/11224803678858206361900017468416)>
#<alt (* y y)>
Outputs
#<alt x>
#<alt (+ x (* 279195317918525/3350343815022304 y))>
#<alt (+ x (* 279195317918525/3350343815022304 y))>
#<alt (+ x (* 279195317918525/3350343815022304 y))>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (* y (+ 279195317918525/3350343815022304 (/ x y)))>
#<alt (* y (+ 279195317918525/3350343815022304 (/ x y)))>
#<alt (* y (+ 279195317918525/3350343815022304 (/ x y)))>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (* -1 (* y (- (* -1 (/ x y)) 279195317918525/3350343815022304)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 279195317918525/3350343815022304)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 279195317918525/3350343815022304)))>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (+ x (* 279195317918525/3350343815022304 y))>
#<alt (+ x (* 279195317918525/3350343815022304 y))>
#<alt (+ x (* 279195317918525/3350343815022304 y))>
#<alt x>
#<alt (* x (+ 1 (* 279195317918525/3350343815022304 (/ y x))))>
#<alt (* x (+ 1 (* 279195317918525/3350343815022304 (/ y x))))>
#<alt (* x (+ 1 (* 279195317918525/3350343815022304 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* -279195317918525/3350343815022304 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -279195317918525/3350343815022304 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -279195317918525/3350343815022304 (/ y x)) 1)))>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (+ x (* 279195317918525/3350343815022304 y))>
#<alt (+ x (* 279195317918525/3350343815022304 y))>
#<alt (+ x (* 279195317918525/3350343815022304 y))>
#<alt x>
#<alt (* x (+ 1 (* 279195317918525/3350343815022304 (/ y x))))>
#<alt (* x (+ 1 (* 279195317918525/3350343815022304 (/ y x))))>
#<alt (* x (+ 1 (* 279195317918525/3350343815022304 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* -279195317918525/3350343815022304 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -279195317918525/3350343815022304 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -279195317918525/3350343815022304 (/ y x)) 1)))>
#<alt x>
#<alt (+ x (* 279195317918525/3350343815022304 y))>
#<alt (+ x (* 279195317918525/3350343815022304 y))>
#<alt (+ x (* 279195317918525/3350343815022304 y))>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (* y (+ 279195317918525/3350343815022304 (/ x y)))>
#<alt (* y (+ 279195317918525/3350343815022304 (/ x y)))>
#<alt (* y (+ 279195317918525/3350343815022304 (/ x y)))>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (* -1 (* y (- (* -1 (/ x y)) 279195317918525/3350343815022304)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 279195317918525/3350343815022304)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 279195317918525/3350343815022304)))>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (* 31250000000000/104698244219447 y)>
#<alt (* 31250000000000/104698244219447 y)>
#<alt (* 31250000000000/104698244219447 y)>
#<alt (* 31250000000000/104698244219447 y)>
#<alt (* 31250000000000/104698244219447 y)>
#<alt (* 31250000000000/104698244219447 y)>
#<alt (* 31250000000000/104698244219447 y)>
#<alt (* 31250000000000/104698244219447 y)>
#<alt (* 31250000000000/104698244219447 y)>
#<alt (* 31250000000000/104698244219447 y)>
#<alt (* 31250000000000/104698244219447 y)>
#<alt (* 31250000000000/104698244219447 y)>
#<alt (* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))>
#<alt (* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))>
#<alt (* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))>
#<alt (* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))>
#<alt (* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))>
#<alt (* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))>
#<alt (* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))>
#<alt (* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))>
#<alt (* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))>
#<alt (* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))>
#<alt (* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))>
#<alt (* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))>
#<alt (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))>
#<alt (/ (+ (* 692910599291889/10000000000000000 (* y z)) (* 751220861604756070699018739433/10000000000000000000000000000000 y)) z)>
#<alt (/ (+ (* 692910599291889/10000000000000000 (* y z)) (* 751220861604756070699018739433/10000000000000000000000000000000 y)) z)>
#<alt (/ (+ (* 692910599291889/10000000000000000 (* y z)) (* 751220861604756070699018739433/10000000000000000000000000000000 y)) z)>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (+ (* 692910599291889/10000000000000000 y) (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z)))>
#<alt (+ (* 692910599291889/10000000000000000 y) (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z)))>
#<alt (+ (* 692910599291889/10000000000000000 y) (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z)))>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (+ (* 692910599291889/10000000000000000 y) (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z)))>
#<alt (+ (* 692910599291889/10000000000000000 y) (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z)))>
#<alt (+ (* 692910599291889/10000000000000000 y) (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z)))>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))>
#<alt (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))>
#<alt (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))>
#<alt (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))>
#<alt (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))>
#<alt (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))>
#<alt (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))>
#<alt (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))>
#<alt (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))>
#<alt (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))>
#<alt (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))>
#<alt (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))>
#<alt (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))>
#<alt (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))>
#<alt (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))>
#<alt (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))>
#<alt (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))>
#<alt (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))>
#<alt (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))>
#<alt (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))>
#<alt (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))>
#<alt (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))>
#<alt (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))>
#<alt (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))>
#<alt (* 751220861604756070699018739433/10000000000000000000000000000000 y)>
#<alt (* 751220861604756070699018739433/10000000000000000000000000000000 y)>
#<alt (* 751220861604756070699018739433/10000000000000000000000000000000 y)>
#<alt (* 751220861604756070699018739433/10000000000000000000000000000000 y)>
#<alt (* 751220861604756070699018739433/10000000000000000000000000000000 y)>
#<alt (* 751220861604756070699018739433/10000000000000000000000000000000 y)>
#<alt (* 751220861604756070699018739433/10000000000000000000000000000000 y)>
#<alt (* 751220861604756070699018739433/10000000000000000000000000000000 y)>
#<alt (* 751220861604756070699018739433/10000000000000000000000000000000 y)>
#<alt (* 751220861604756070699018739433/10000000000000000000000000000000 y)>
#<alt (* 751220861604756070699018739433/10000000000000000000000000000000 y)>
#<alt (* 751220861604756070699018739433/10000000000000000000000000000000 y)>
#<alt x>
#<alt (+ x (* 279195317918525/3350343815022304 y))>
#<alt (+ x (* 279195317918525/3350343815022304 y))>
#<alt (+ x (* 279195317918525/3350343815022304 y))>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (* y (+ 279195317918525/3350343815022304 (/ x y)))>
#<alt (* y (+ 279195317918525/3350343815022304 (/ x y)))>
#<alt (* y (+ 279195317918525/3350343815022304 (/ x y)))>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (* -1 (* y (- (* -1 (/ x y)) 279195317918525/3350343815022304)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 279195317918525/3350343815022304)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 279195317918525/3350343815022304)))>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (+ x (* 279195317918525/3350343815022304 y))>
#<alt (+ x (* 279195317918525/3350343815022304 y))>
#<alt (+ x (* 279195317918525/3350343815022304 y))>
#<alt x>
#<alt (* x (+ 1 (* 279195317918525/3350343815022304 (/ y x))))>
#<alt (* x (+ 1 (* 279195317918525/3350343815022304 (/ y x))))>
#<alt (* x (+ 1 (* 279195317918525/3350343815022304 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (* -279195317918525/3350343815022304 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -279195317918525/3350343815022304 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -279195317918525/3350343815022304 (/ y x)) 1)))>
#<alt (* -1 (pow x 2))>
#<alt (- (* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2)) (pow x 2))>
#<alt (- (* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2)) (pow x 2))>
#<alt (- (* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2)) (pow x 2))>
#<alt (* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))>
#<alt (* (pow y 2) (+ 77950025547626246938538175625/11224803678858206361900017468416 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 77950025547626246938538175625/11224803678858206361900017468416 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 77950025547626246938538175625/11224803678858206361900017468416 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))>
#<alt (* (pow y 2) (+ 77950025547626246938538175625/11224803678858206361900017468416 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 77950025547626246938538175625/11224803678858206361900017468416 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (* (pow y 2) (+ 77950025547626246938538175625/11224803678858206361900017468416 (* -1 (/ (pow x 2) (pow y 2)))))>
#<alt (* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))>
#<alt (+ (* -1 (pow x 2)) (* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2)))>
#<alt (+ (* -1 (pow x 2)) (* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2)))>
#<alt (+ (* -1 (pow x 2)) (* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2)))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 77950025547626246938538175625/11224803678858206361900017468416 (/ (pow y 2) (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 77950025547626246938538175625/11224803678858206361900017468416 (/ (pow y 2) (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 77950025547626246938538175625/11224803678858206361900017468416 (/ (pow y 2) (pow x 2))) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* (pow x 2) (- (* 77950025547626246938538175625/11224803678858206361900017468416 (/ (pow y 2) (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 77950025547626246938538175625/11224803678858206361900017468416 (/ (pow y 2) (pow x 2))) 1))>
#<alt (* (pow x 2) (- (* 77950025547626246938538175625/11224803678858206361900017468416 (/ (pow y 2) (pow x 2))) 1))>
#<alt (* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))>
#<alt (* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))>
#<alt (* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))>
#<alt (* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))>
#<alt (* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))>
#<alt (* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))>
#<alt (* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))>
#<alt (* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))>
#<alt (* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))>
#<alt (* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))>
#<alt (* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))>
#<alt (* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
#<alt (pow y 2)>
Calls

57 calls:

TimeVariablePointExpression
6.0ms
y
@inf
(* y 31250000000000/104698244219447)
1.0ms
y
@0
(/ (- (* (* y y) 77950025547626246938538175625/11224803678858206361900017468416) (* x x)) (- (* y 279195317918525/3350343815022304) x))
1.0ms
x
@0
(/ (- (* (* y y) 77950025547626246938538175625/11224803678858206361900017468416) (* x x)) (- (* y 279195317918525/3350343815022304) x))
1.0ms
y
@0
(+ (* 692910599291889/10000000000000000 y) (/ (* y 751220861604756070699018739433/10000000000000000000000000000000) z))
1.0ms
y
@inf
(/ (- (* (* y y) 77950025547626246938538175625/11224803678858206361900017468416) (* x x)) (- (* y 279195317918525/3350343815022304) x))

rewrite394.0ms (3.1%)

Algorithm
1×batch-egg-rewrite
Rules
3436×/-lowering-/.f32
3436×/-lowering-/.f64
3288×*-lowering-*.f32
3288×*-lowering-*.f64
2452×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02456
112555
2122055
0856655
Stop Event
1×iter limit
1×node limit
Counts
13 → 622
Calls
Call 1
Inputs
(+ (* y 279195317918525/3350343815022304) x)
(* y 279195317918525/3350343815022304)
(+ x (* 11167812716741/40000000000000 (* y 31250000000000/104698244219447)))
(* 11167812716741/40000000000000 (* y 31250000000000/104698244219447))
(* y 31250000000000/104698244219447)
(+ (* 692910599291889/10000000000000000 y) (/ (* y 751220861604756070699018739433/10000000000000000000000000000000) z))
(* 692910599291889/10000000000000000 y)
(/ (* y 751220861604756070699018739433/10000000000000000000000000000000) z)
(* y 751220861604756070699018739433/10000000000000000000000000000000)
(/ (- (* (* y y) 77950025547626246938538175625/11224803678858206361900017468416) (* x x)) (- (* y 279195317918525/3350343815022304) x))
(- (* (* y y) 77950025547626246938538175625/11224803678858206361900017468416) (* x x))
(* (* y y) 77950025547626246938538175625/11224803678858206361900017468416)
(* y y)
Outputs
(+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)
(+.f64 x (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)))
(+.f64 (/.f64 (*.f64 y (*.f64 y #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64))) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x))))
(+.f64 (fma.f64 y (/.f64 (*.f64 y #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64)) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)) (neg.f64 (*.f64 (/.f64 x (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)) x))) (fma.f64 (neg.f64 (/.f64 x (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x))) x (*.f64 (/.f64 x (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)) x)))
(+.f64 (fma.f64 y (/.f64 (*.f64 y #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64)) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)) (*.f64 x x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x))) (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)) (*.f64 x x))))
(+.f64 (fma.f64 y (/.f64 (*.f64 y #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64)) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)) (neg.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64))) (*.f64 x (+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x))) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 binary64)) (*.f64 x (*.f64 x x))))))) (fma.f64 (neg.f64 (+.f64 (*.f64 y (*.f64 y #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64))) (*.f64 x (+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 (*.f64 y (*.f64 y #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64))) (*.f64 x (+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x))) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 binary64)) (*.f64 x (*.f64 x x)))))))
(+.f64 (fma.f64 y (/.f64 (*.f64 y #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64)) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)) (neg.f64 (*.f64 (+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x) (/.f64 (*.f64 x x) (-.f64 (*.f64 y (*.f64 y #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64))) (*.f64 x x)))))) (fma.f64 (neg.f64 (+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y (*.f64 y #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64))) (*.f64 x x))) (*.f64 (+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x) (/.f64 (*.f64 x x) (-.f64 (*.f64 y (*.f64 y #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64))) (*.f64 x x))))))
(+.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)) (neg.f64 (*.f64 (/.f64 x (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)) x))) (fma.f64 (neg.f64 (/.f64 x (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x))) x (*.f64 (/.f64 x (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)) x)))
(+.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)) (*.f64 x x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x))) (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)) (*.f64 x x))))
(+.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)) (neg.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64))) (*.f64 x (+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x))) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 binary64)) (*.f64 x (*.f64 x x))))))) (fma.f64 (neg.f64 (+.f64 (*.f64 y (*.f64 y #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64))) (*.f64 x (+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 (*.f64 y (*.f64 y #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64))) (*.f64 x (+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x))) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 binary64)) (*.f64 x (*.f64 x x)))))))
(+.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)) (neg.f64 (*.f64 (+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x) (/.f64 (*.f64 x x) (-.f64 (*.f64 y (*.f64 y #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64))) (*.f64 x x)))))) (fma.f64 (neg.f64 (+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y (*.f64 y #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64))) (*.f64 x x))) (*.f64 (+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x) (/.f64 (*.f64 x x) (-.f64 (*.f64 y (*.f64 y #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64))) (*.f64 x x))))))
(+.f64 (fma.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (/.f64 (*.f64 y y) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)) (neg.f64 (*.f64 (/.f64 x (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)) x))) (fma.f64 (neg.f64 (/.f64 x (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x))) x (*.f64 (/.f64 x (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)) x)))
(+.f64 (fma.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (/.f64 (*.f64 y y) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)) (*.f64 x x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x))) (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)) (*.f64 x x))))
(+.f64 (fma.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (/.f64 (*.f64 y y) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)) (neg.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64))) (*.f64 x (+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x))) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 binary64)) (*.f64 x (*.f64 x x))))))) (fma.f64 (neg.f64 (+.f64 (*.f64 y (*.f64 y #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64))) (*.f64 x (+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 (*.f64 y (*.f64 y #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64))) (*.f64 x (+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x))) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 binary64)) (*.f64 x (*.f64 x x)))))))
(+.f64 (fma.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (/.f64 (*.f64 y y) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)) (neg.f64 (*.f64 (+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x) (/.f64 (*.f64 x x) (-.f64 (*.f64 y (*.f64 y #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64))) (*.f64 x x)))))) (fma.f64 (neg.f64 (+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y (*.f64 y #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64))) (*.f64 x x))) (*.f64 (+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x) (/.f64 (*.f64 x x) (-.f64 (*.f64 y (*.f64 y #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64))) (*.f64 x x))))))
(+.f64 (fma.f64 (*.f64 y (*.f64 y #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)) (neg.f64 (*.f64 (/.f64 x (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)) x))) (fma.f64 (neg.f64 (/.f64 x (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x))) x (*.f64 (/.f64 x (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)) x)))
(+.f64 (fma.f64 (*.f64 y (*.f64 y #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)) (*.f64 x x)))) (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x))) (*.f64 x x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)) (*.f64 x x))))
(+.f64 (fma.f64 (*.f64 y (*.f64 y #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)) (neg.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64))) (*.f64 x (+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x))) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 binary64)) (*.f64 x (*.f64 x x))))))) (fma.f64 (neg.f64 (+.f64 (*.f64 y (*.f64 y #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64))) (*.f64 x (+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)))) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 binary64)) (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 (*.f64 y (*.f64 y #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64))) (*.f64 x (+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x))) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464 binary64)) (*.f64 x (*.f64 x x)))))))
(+.f64 (fma.f64 (*.f64 y (*.f64 y #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)) (neg.f64 (*.f64 (+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x) (/.f64 (*.f64 x x) (-.f64 (*.f64 y (*.f64 y #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64))) (*.f64 x x)))))) (fma.f64 (neg.f64 (+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y (*.f64 y #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64))) (*.f64 x x))) (*.f64 (+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x) (/.f64 (*.f64 x x) (-.f64 (*.f64 y (*.f64 y #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64))) (*.f64 x x))))))
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(pow.f64 y #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(*.f64 y y)
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))

simplify203.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
3976×*-lowering-*.f32
3976×*-lowering-*.f64
1330×fnmadd-define
1226×/-lowering-/.f32
1226×/-lowering-/.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0571040
1151986
2353983
3986980
43375980
08917980
Stop Event
1×iter limit
1×node limit
Counts
228 → 228
Calls
Call 1
Inputs
x
(+ x (* 279195317918525/3350343815022304 y))
(+ x (* 279195317918525/3350343815022304 y))
(+ x (* 279195317918525/3350343815022304 y))
(* 279195317918525/3350343815022304 y)
(* y (+ 279195317918525/3350343815022304 (/ x y)))
(* y (+ 279195317918525/3350343815022304 (/ x y)))
(* y (+ 279195317918525/3350343815022304 (/ x y)))
(* 279195317918525/3350343815022304 y)
(* -1 (* y (- (* -1 (/ x y)) 279195317918525/3350343815022304)))
(* -1 (* y (- (* -1 (/ x y)) 279195317918525/3350343815022304)))
(* -1 (* y (- (* -1 (/ x y)) 279195317918525/3350343815022304)))
(* 279195317918525/3350343815022304 y)
(+ x (* 279195317918525/3350343815022304 y))
(+ x (* 279195317918525/3350343815022304 y))
(+ x (* 279195317918525/3350343815022304 y))
x
(* x (+ 1 (* 279195317918525/3350343815022304 (/ y x))))
(* x (+ 1 (* 279195317918525/3350343815022304 (/ y x))))
(* x (+ 1 (* 279195317918525/3350343815022304 (/ y x))))
x
(* -1 (* x (- (* -279195317918525/3350343815022304 (/ y x)) 1)))
(* -1 (* x (- (* -279195317918525/3350343815022304 (/ y x)) 1)))
(* -1 (* x (- (* -279195317918525/3350343815022304 (/ y x)) 1)))
(* 279195317918525/3350343815022304 y)
(* 279195317918525/3350343815022304 y)
(* 279195317918525/3350343815022304 y)
(* 279195317918525/3350343815022304 y)
(* 279195317918525/3350343815022304 y)
(* 279195317918525/3350343815022304 y)
(* 279195317918525/3350343815022304 y)
(* 279195317918525/3350343815022304 y)
(* 279195317918525/3350343815022304 y)
(* 279195317918525/3350343815022304 y)
(* 279195317918525/3350343815022304 y)
(* 279195317918525/3350343815022304 y)
(* 279195317918525/3350343815022304 y)
(+ x (* 279195317918525/3350343815022304 y))
(+ x (* 279195317918525/3350343815022304 y))
(+ x (* 279195317918525/3350343815022304 y))
x
(* x (+ 1 (* 279195317918525/3350343815022304 (/ y x))))
(* x (+ 1 (* 279195317918525/3350343815022304 (/ y x))))
(* x (+ 1 (* 279195317918525/3350343815022304 (/ y x))))
x
(* -1 (* x (- (* -279195317918525/3350343815022304 (/ y x)) 1)))
(* -1 (* x (- (* -279195317918525/3350343815022304 (/ y x)) 1)))
(* -1 (* x (- (* -279195317918525/3350343815022304 (/ y x)) 1)))
x
(+ x (* 279195317918525/3350343815022304 y))
(+ x (* 279195317918525/3350343815022304 y))
(+ x (* 279195317918525/3350343815022304 y))
(* 279195317918525/3350343815022304 y)
(* y (+ 279195317918525/3350343815022304 (/ x y)))
(* y (+ 279195317918525/3350343815022304 (/ x y)))
(* y (+ 279195317918525/3350343815022304 (/ x y)))
(* 279195317918525/3350343815022304 y)
(* -1 (* y (- (* -1 (/ x y)) 279195317918525/3350343815022304)))
(* -1 (* y (- (* -1 (/ x y)) 279195317918525/3350343815022304)))
(* -1 (* y (- (* -1 (/ x y)) 279195317918525/3350343815022304)))
(* 279195317918525/3350343815022304 y)
(* 279195317918525/3350343815022304 y)
(* 279195317918525/3350343815022304 y)
(* 279195317918525/3350343815022304 y)
(* 279195317918525/3350343815022304 y)
(* 279195317918525/3350343815022304 y)
(* 279195317918525/3350343815022304 y)
(* 279195317918525/3350343815022304 y)
(* 279195317918525/3350343815022304 y)
(* 279195317918525/3350343815022304 y)
(* 279195317918525/3350343815022304 y)
(* 279195317918525/3350343815022304 y)
(* 31250000000000/104698244219447 y)
(* 31250000000000/104698244219447 y)
(* 31250000000000/104698244219447 y)
(* 31250000000000/104698244219447 y)
(* 31250000000000/104698244219447 y)
(* 31250000000000/104698244219447 y)
(* 31250000000000/104698244219447 y)
(* 31250000000000/104698244219447 y)
(* 31250000000000/104698244219447 y)
(* 31250000000000/104698244219447 y)
(* 31250000000000/104698244219447 y)
(* 31250000000000/104698244219447 y)
(* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))
(* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))
(* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))
(* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))
(* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))
(* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))
(* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))
(* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))
(* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))
(* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))
(* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))
(* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))
(* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))
(/ (+ (* 692910599291889/10000000000000000 (* y z)) (* 751220861604756070699018739433/10000000000000000000000000000000 y)) z)
(/ (+ (* 692910599291889/10000000000000000 (* y z)) (* 751220861604756070699018739433/10000000000000000000000000000000 y)) z)
(/ (+ (* 692910599291889/10000000000000000 (* y z)) (* 751220861604756070699018739433/10000000000000000000000000000000 y)) z)
(* 692910599291889/10000000000000000 y)
(+ (* 692910599291889/10000000000000000 y) (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z)))
(+ (* 692910599291889/10000000000000000 y) (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z)))
(+ (* 692910599291889/10000000000000000 y) (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z)))
(* 692910599291889/10000000000000000 y)
(+ (* 692910599291889/10000000000000000 y) (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z)))
(+ (* 692910599291889/10000000000000000 y) (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z)))
(+ (* 692910599291889/10000000000000000 y) (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z)))
(* 692910599291889/10000000000000000 y)
(* 692910599291889/10000000000000000 y)
(* 692910599291889/10000000000000000 y)
(* 692910599291889/10000000000000000 y)
(* 692910599291889/10000000000000000 y)
(* 692910599291889/10000000000000000 y)
(* 692910599291889/10000000000000000 y)
(* 692910599291889/10000000000000000 y)
(* 692910599291889/10000000000000000 y)
(* 692910599291889/10000000000000000 y)
(* 692910599291889/10000000000000000 y)
(* 692910599291889/10000000000000000 y)
(* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))
(* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))
(* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))
(* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))
(* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))
(* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))
(* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))
(* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))
(* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))
(* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))
(* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))
(* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))
(* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))
(* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))
(* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))
(* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))
(* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))
(* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))
(* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))
(* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))
(* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))
(* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))
(* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))
(* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))
(* 751220861604756070699018739433/10000000000000000000000000000000 y)
(* 751220861604756070699018739433/10000000000000000000000000000000 y)
(* 751220861604756070699018739433/10000000000000000000000000000000 y)
(* 751220861604756070699018739433/10000000000000000000000000000000 y)
(* 751220861604756070699018739433/10000000000000000000000000000000 y)
(* 751220861604756070699018739433/10000000000000000000000000000000 y)
(* 751220861604756070699018739433/10000000000000000000000000000000 y)
(* 751220861604756070699018739433/10000000000000000000000000000000 y)
(* 751220861604756070699018739433/10000000000000000000000000000000 y)
(* 751220861604756070699018739433/10000000000000000000000000000000 y)
(* 751220861604756070699018739433/10000000000000000000000000000000 y)
(* 751220861604756070699018739433/10000000000000000000000000000000 y)
x
(+ x (* 279195317918525/3350343815022304 y))
(+ x (* 279195317918525/3350343815022304 y))
(+ x (* 279195317918525/3350343815022304 y))
(* 279195317918525/3350343815022304 y)
(* y (+ 279195317918525/3350343815022304 (/ x y)))
(* y (+ 279195317918525/3350343815022304 (/ x y)))
(* y (+ 279195317918525/3350343815022304 (/ x y)))
(* 279195317918525/3350343815022304 y)
(* -1 (* y (- (* -1 (/ x y)) 279195317918525/3350343815022304)))
(* -1 (* y (- (* -1 (/ x y)) 279195317918525/3350343815022304)))
(* -1 (* y (- (* -1 (/ x y)) 279195317918525/3350343815022304)))
(* 279195317918525/3350343815022304 y)
(+ x (* 279195317918525/3350343815022304 y))
(+ x (* 279195317918525/3350343815022304 y))
(+ x (* 279195317918525/3350343815022304 y))
x
(* x (+ 1 (* 279195317918525/3350343815022304 (/ y x))))
(* x (+ 1 (* 279195317918525/3350343815022304 (/ y x))))
(* x (+ 1 (* 279195317918525/3350343815022304 (/ y x))))
x
(* -1 (* x (- (* -279195317918525/3350343815022304 (/ y x)) 1)))
(* -1 (* x (- (* -279195317918525/3350343815022304 (/ y x)) 1)))
(* -1 (* x (- (* -279195317918525/3350343815022304 (/ y x)) 1)))
(* -1 (pow x 2))
(- (* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2)) (pow x 2))
(- (* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2)) (pow x 2))
(- (* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2)) (pow x 2))
(* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))
(* (pow y 2) (+ 77950025547626246938538175625/11224803678858206361900017468416 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 77950025547626246938538175625/11224803678858206361900017468416 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 77950025547626246938538175625/11224803678858206361900017468416 (* -1 (/ (pow x 2) (pow y 2)))))
(* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))
(* (pow y 2) (+ 77950025547626246938538175625/11224803678858206361900017468416 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 77950025547626246938538175625/11224803678858206361900017468416 (* -1 (/ (pow x 2) (pow y 2)))))
(* (pow y 2) (+ 77950025547626246938538175625/11224803678858206361900017468416 (* -1 (/ (pow x 2) (pow y 2)))))
(* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))
(+ (* -1 (pow x 2)) (* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2)))
(+ (* -1 (pow x 2)) (* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2)))
(+ (* -1 (pow x 2)) (* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (* 77950025547626246938538175625/11224803678858206361900017468416 (/ (pow y 2) (pow x 2))) 1))
(* (pow x 2) (- (* 77950025547626246938538175625/11224803678858206361900017468416 (/ (pow y 2) (pow x 2))) 1))
(* (pow x 2) (- (* 77950025547626246938538175625/11224803678858206361900017468416 (/ (pow y 2) (pow x 2))) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (* 77950025547626246938538175625/11224803678858206361900017468416 (/ (pow y 2) (pow x 2))) 1))
(* (pow x 2) (- (* 77950025547626246938538175625/11224803678858206361900017468416 (/ (pow y 2) (pow x 2))) 1))
(* (pow x 2) (- (* 77950025547626246938538175625/11224803678858206361900017468416 (/ (pow y 2) (pow x 2))) 1))
(* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))
(* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))
(* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))
(* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))
(* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))
(* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))
(* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))
(* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))
(* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))
(* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))
(* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))
(* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
(pow y 2)
Outputs
x
(+ x (* 279195317918525/3350343815022304 y))
(-.f64 x (*.f64 y #s(literal -279195317918525/3350343815022304 binary64)))
(+ x (* 279195317918525/3350343815022304 y))
(-.f64 x (*.f64 y #s(literal -279195317918525/3350343815022304 binary64)))
(+ x (* 279195317918525/3350343815022304 y))
(-.f64 x (*.f64 y #s(literal -279195317918525/3350343815022304 binary64)))
(* 279195317918525/3350343815022304 y)
(*.f64 #s(literal 279195317918525/3350343815022304 binary64) y)
(* y (+ 279195317918525/3350343815022304 (/ x y)))
(-.f64 x (*.f64 y #s(literal -279195317918525/3350343815022304 binary64)))
(* y (+ 279195317918525/3350343815022304 (/ x y)))
(-.f64 x (*.f64 y #s(literal -279195317918525/3350343815022304 binary64)))
(* y (+ 279195317918525/3350343815022304 (/ x y)))
(-.f64 x (*.f64 y #s(literal -279195317918525/3350343815022304 binary64)))
(* 279195317918525/3350343815022304 y)
(*.f64 #s(literal 279195317918525/3350343815022304 binary64) y)
(* -1 (* y (- (* -1 (/ x y)) 279195317918525/3350343815022304)))
(-.f64 x (*.f64 y #s(literal -279195317918525/3350343815022304 binary64)))
(* -1 (* y (- (* -1 (/ x y)) 279195317918525/3350343815022304)))
(-.f64 x (*.f64 y #s(literal -279195317918525/3350343815022304 binary64)))
(* -1 (* y (- (* -1 (/ x y)) 279195317918525/3350343815022304)))
(-.f64 x (*.f64 y #s(literal -279195317918525/3350343815022304 binary64)))
(* 279195317918525/3350343815022304 y)
(*.f64 #s(literal 279195317918525/3350343815022304 binary64) y)
(+ x (* 279195317918525/3350343815022304 y))
(-.f64 x (*.f64 y #s(literal -279195317918525/3350343815022304 binary64)))
(+ x (* 279195317918525/3350343815022304 y))
(-.f64 x (*.f64 y #s(literal -279195317918525/3350343815022304 binary64)))
(+ x (* 279195317918525/3350343815022304 y))
(-.f64 x (*.f64 y #s(literal -279195317918525/3350343815022304 binary64)))
x
(* x (+ 1 (* 279195317918525/3350343815022304 (/ y x))))
(-.f64 x (*.f64 y #s(literal -279195317918525/3350343815022304 binary64)))
(* x (+ 1 (* 279195317918525/3350343815022304 (/ y x))))
(-.f64 x (*.f64 y #s(literal -279195317918525/3350343815022304 binary64)))
(* x (+ 1 (* 279195317918525/3350343815022304 (/ y x))))
(-.f64 x (*.f64 y #s(literal -279195317918525/3350343815022304 binary64)))
x
(* -1 (* x (- (* -279195317918525/3350343815022304 (/ y x)) 1)))
(-.f64 x (*.f64 y #s(literal -279195317918525/3350343815022304 binary64)))
(* -1 (* x (- (* -279195317918525/3350343815022304 (/ y x)) 1)))
(-.f64 x (*.f64 y #s(literal -279195317918525/3350343815022304 binary64)))
(* -1 (* x (- (* -279195317918525/3350343815022304 (/ y x)) 1)))
(-.f64 x (*.f64 y #s(literal -279195317918525/3350343815022304 binary64)))
(* 279195317918525/3350343815022304 y)
(*.f64 #s(literal 279195317918525/3350343815022304 binary64) y)
(* 279195317918525/3350343815022304 y)
(*.f64 #s(literal 279195317918525/3350343815022304 binary64) y)
(* 279195317918525/3350343815022304 y)
(*.f64 #s(literal 279195317918525/3350343815022304 binary64) y)
(* 279195317918525/3350343815022304 y)
(*.f64 #s(literal 279195317918525/3350343815022304 binary64) y)
(* 279195317918525/3350343815022304 y)
(*.f64 #s(literal 279195317918525/3350343815022304 binary64) y)
(* 279195317918525/3350343815022304 y)
(*.f64 #s(literal 279195317918525/3350343815022304 binary64) y)
(* 279195317918525/3350343815022304 y)
(*.f64 #s(literal 279195317918525/3350343815022304 binary64) y)
(* 279195317918525/3350343815022304 y)
(*.f64 #s(literal 279195317918525/3350343815022304 binary64) y)
(* 279195317918525/3350343815022304 y)
(*.f64 #s(literal 279195317918525/3350343815022304 binary64) y)
(* 279195317918525/3350343815022304 y)
(*.f64 #s(literal 279195317918525/3350343815022304 binary64) y)
(* 279195317918525/3350343815022304 y)
(*.f64 #s(literal 279195317918525/3350343815022304 binary64) y)
(* 279195317918525/3350343815022304 y)
(*.f64 #s(literal 279195317918525/3350343815022304 binary64) y)
(* 279195317918525/3350343815022304 y)
(*.f64 #s(literal 279195317918525/3350343815022304 binary64) y)
(+ x (* 279195317918525/3350343815022304 y))
(-.f64 x (*.f64 y #s(literal -279195317918525/3350343815022304 binary64)))
(+ x (* 279195317918525/3350343815022304 y))
(-.f64 x (*.f64 y #s(literal -279195317918525/3350343815022304 binary64)))
(+ x (* 279195317918525/3350343815022304 y))
(-.f64 x (*.f64 y #s(literal -279195317918525/3350343815022304 binary64)))
x
(* x (+ 1 (* 279195317918525/3350343815022304 (/ y x))))
(-.f64 x (*.f64 y #s(literal -279195317918525/3350343815022304 binary64)))
(* x (+ 1 (* 279195317918525/3350343815022304 (/ y x))))
(-.f64 x (*.f64 y #s(literal -279195317918525/3350343815022304 binary64)))
(* x (+ 1 (* 279195317918525/3350343815022304 (/ y x))))
(-.f64 x (*.f64 y #s(literal -279195317918525/3350343815022304 binary64)))
x
(* -1 (* x (- (* -279195317918525/3350343815022304 (/ y x)) 1)))
(-.f64 x (*.f64 y #s(literal -279195317918525/3350343815022304 binary64)))
(* -1 (* x (- (* -279195317918525/3350343815022304 (/ y x)) 1)))
(-.f64 x (*.f64 y #s(literal -279195317918525/3350343815022304 binary64)))
(* -1 (* x (- (* -279195317918525/3350343815022304 (/ y x)) 1)))
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x
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(*.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (*.f64 y y))
(* (pow y 2) (+ 77950025547626246938538175625/11224803678858206361900017468416 (* -1 (/ (pow x 2) (pow y 2)))))
(-.f64 (*.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (*.f64 y y)) (*.f64 x x))
(* (pow y 2) (+ 77950025547626246938538175625/11224803678858206361900017468416 (* -1 (/ (pow x 2) (pow y 2)))))
(-.f64 (*.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (*.f64 y y)) (*.f64 x x))
(* (pow y 2) (+ 77950025547626246938538175625/11224803678858206361900017468416 (* -1 (/ (pow x 2) (pow y 2)))))
(-.f64 (*.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (*.f64 y y)) (*.f64 x x))
(* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))
(*.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (*.f64 y y))
(* (pow y 2) (+ 77950025547626246938538175625/11224803678858206361900017468416 (* -1 (/ (pow x 2) (pow y 2)))))
(-.f64 (*.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (*.f64 y y)) (*.f64 x x))
(* (pow y 2) (+ 77950025547626246938538175625/11224803678858206361900017468416 (* -1 (/ (pow x 2) (pow y 2)))))
(-.f64 (*.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (*.f64 y y)) (*.f64 x x))
(* (pow y 2) (+ 77950025547626246938538175625/11224803678858206361900017468416 (* -1 (/ (pow x 2) (pow y 2)))))
(-.f64 (*.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (*.f64 y y)) (*.f64 x x))
(* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))
(*.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (*.f64 y y))
(+ (* -1 (pow x 2)) (* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2)))
(-.f64 (*.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (*.f64 y y)) (*.f64 x x))
(+ (* -1 (pow x 2)) (* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2)))
(-.f64 (*.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (*.f64 y y)) (*.f64 x x))
(+ (* -1 (pow x 2)) (* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2)))
(-.f64 (*.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (*.f64 y y)) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- (* 77950025547626246938538175625/11224803678858206361900017468416 (/ (pow y 2) (pow x 2))) 1))
(-.f64 (*.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (*.f64 y y)) (*.f64 x x))
(* (pow x 2) (- (* 77950025547626246938538175625/11224803678858206361900017468416 (/ (pow y 2) (pow x 2))) 1))
(-.f64 (*.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (*.f64 y y)) (*.f64 x x))
(* (pow x 2) (- (* 77950025547626246938538175625/11224803678858206361900017468416 (/ (pow y 2) (pow x 2))) 1))
(-.f64 (*.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (*.f64 y y)) (*.f64 x x))
(* -1 (pow x 2))
(-.f64 #s(literal 0 binary64) (*.f64 x x))
(* (pow x 2) (- (* 77950025547626246938538175625/11224803678858206361900017468416 (/ (pow y 2) (pow x 2))) 1))
(-.f64 (*.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (*.f64 y y)) (*.f64 x x))
(* (pow x 2) (- (* 77950025547626246938538175625/11224803678858206361900017468416 (/ (pow y 2) (pow x 2))) 1))
(-.f64 (*.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (*.f64 y y)) (*.f64 x x))
(* (pow x 2) (- (* 77950025547626246938538175625/11224803678858206361900017468416 (/ (pow y 2) (pow x 2))) 1))
(-.f64 (*.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (*.f64 y y)) (*.f64 x x))
(* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))
(*.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (*.f64 y y))
(* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))
(*.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (*.f64 y y))
(* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))
(*.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (*.f64 y y))
(* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))
(*.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (*.f64 y y))
(* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))
(*.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (*.f64 y y))
(* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))
(*.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (*.f64 y y))
(* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))
(*.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (*.f64 y y))
(* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))
(*.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (*.f64 y y))
(* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))
(*.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (*.f64 y y))
(* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))
(*.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (*.f64 y y))
(* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))
(*.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (*.f64 y y))
(* 77950025547626246938538175625/11224803678858206361900017468416 (pow y 2))
(*.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (*.f64 y y))
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)
(pow y 2)
(*.f64 y y)

eval123.0ms (1%)

Compiler

Compiled 25616 to 1018 computations (96% saved)

prune109.0ms (0.9%)

Pruning

22 alts after pruning (14 fresh and 8 done)

PrunedKeptTotal
New8815886
Fresh099
Picked235
Done055
Total88322905
Accuracy
100.0%
Counts
905 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.1%
(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 y #s(literal 31250000000000/104698244219447 binary64)) #s(literal 11167812716741/40000000000000 binary64)) x))
17.1%
(/.f64 (*.f64 y (+.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) (*.f64 #s(literal 692910599291889/10000000000000000 binary64) z))) z)
15.9%
(/.f64 (*.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x))
32.8%
(/.f64 y #s(literal 10000000000000000/692910599291889 binary64))
32.6%
(/.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))
59.6%
(-.f64 (+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))) (/.f64 (-.f64 (*.f64 y #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64)) (/.f64 (*.f64 y #s(literal -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 binary64)) z)) z))
27.0%
(+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) (*.f64 z (*.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64))))
✓77.6%
(+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)
✓28.8%
(+.f64 (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) (/.f64 (*.f64 y #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64)) z))
✓79.0%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)))
77.6%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3350343815022304/279195317918525 binary64) y)))
75.3%
(+.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 2504069538682520235663395798110/160041699537014921582740396107 binary64) y) (/.f64 #s(literal -11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 binary64) (*.f64 y z))) z))))
60.3%
(+.f64 x (*.f64 (/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) (-.f64 #s(literal 10961722342634967150292985809/976562500000000000000000000 binary64) (*.f64 (*.f64 z z) (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 104698244219447/31250000000000 binary64) (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))))))))
65.3%
(+.f64 x (*.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z))))
✓78.9%
(+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)))
✓38.8%
(*.f64 (+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 z #s(literal 692910599291889/10000000000000000 binary64))))) (/.f64 y (+.f64 #s(literal 104698244219447/31250000000000 binary64) (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))))))
31.5%
(*.f64 (*.f64 y #s(literal 31250000000000/104698244219447 binary64)) #s(literal 11167812716741/40000000000000 binary64))
28.8%
(*.f64 y (+.f64 (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z) #s(literal 692910599291889/10000000000000000 binary64)))
27.7%
(*.f64 y (+.f64 #s(literal 279195317918525/3350343815022304 binary64) (*.f64 z (+.f64 #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) (*.f64 z #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64))))))
✓31.7%
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
✓32.6%
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
✓48.3%
x
Compiler

Compiled 923 to 421 computations (54.4% saved)

regimes70.0ms (0.6%)

Counts
44 → 2
Calls
Call 1
Inputs
x
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
(/.f64 y #s(literal 10000000000000000/692910599291889 binary64))
(*.f64 (*.f64 y #s(literal 31250000000000/104698244219447 binary64)) #s(literal 11167812716741/40000000000000 binary64))
(+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)))
(+.f64 x (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)))
(+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)
(/.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 y (+.f64 (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z) #s(literal 692910599291889/10000000000000000 binary64)))
(+.f64 x (*.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 y #s(literal 31250000000000/104698244219447 binary64))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3350343815022304/279195317918525 binary64) y)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)))
(+.f64 x (/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
(+.f64 x (*.f64 y (+.f64 #s(literal 279195317918525/3350343815022304 binary64) (*.f64 #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) z))))
(+.f64 x (*.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z))))
(+.f64 (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) (/.f64 (*.f64 y #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64)) z))
(+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) (*.f64 z (*.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64))))
(/.f64 (*.f64 y (+.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) (*.f64 #s(literal 692910599291889/10000000000000000 binary64) z))) z)
(*.f64 y (+.f64 #s(literal 279195317918525/3350343815022304 binary64) (*.f64 z (+.f64 #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) (*.f64 z #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64))))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) #s(literal -692910599291889/10000000000000000 binary64)))))
(/.f64 (*.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x))
(+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 3350343815022304/279195317918525 binary64) y) (/.f64 (*.f64 z #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) y))))
(+.f64 x (/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))
(*.f64 (+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 z #s(literal 692910599291889/10000000000000000 binary64))))) (/.f64 y (*.f64 z z)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y))) (+.f64 x (*.f64 #s(literal -692910599291889/10000000000000000 binary64) y)))
(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64)) (*.f64 x x)) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x))
(+.f64 x (+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) (*.f64 z (+.f64 (*.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64)) (*.f64 z (*.f64 y #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))))))
(+.f64 x (/.f64 (*.f64 y (*.f64 z (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))
(-.f64 (+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))) (/.f64 (-.f64 (*.f64 y #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64)) (/.f64 (*.f64 y #s(literal -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 binary64)) z)) z))
(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 y #s(literal 31250000000000/104698244219447 binary64)) #s(literal 11167812716741/40000000000000 binary64)) x))
(*.f64 (+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 z #s(literal 692910599291889/10000000000000000 binary64))))) (/.f64 y (+.f64 #s(literal 104698244219447/31250000000000 binary64) (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))))))
(+.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 2504069538682520235663395798110/160041699537014921582740396107 binary64) y) (/.f64 #s(literal -11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 binary64) (*.f64 y z))) z))))
(/.f64 (+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 #s(literal 692910599291889/10000000000000000 binary64) z)))) (/.f64 (+.f64 #s(literal 104698244219447/31250000000000 binary64) (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)))) y))
(+.f64 x (/.f64 (*.f64 y (*.f64 (*.f64 z z) (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 307332350656623/625000000000000 binary64) z)))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))
(+.f64 (/.f64 y (/.f64 (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64)) (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64)))) x)
(*.f64 y (+.f64 (/.f64 x y) (/.f64 (+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 z #s(literal 692910599291889/10000000000000000 binary64))))) (+.f64 #s(literal 104698244219447/31250000000000 binary64) (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)))))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64)) (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64))))))
(+.f64 x (*.f64 (/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) (-.f64 #s(literal 10961722342634967150292985809/976562500000000000000000000 binary64) (*.f64 (*.f64 z z) (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 104698244219447/31250000000000 binary64) (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))))))))
(+.f64 x (*.f64 (/.f64 y (+.f64 (*.f64 z (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))))) #s(literal -10961722342634967150292985809/976562500000000000000000000 binary64))) (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal -104698244219447/31250000000000 binary64))))))
(+.f64 x (*.f64 (/.f64 (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 z (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))))) #s(literal -10961722342634967150292985809/976562500000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal -104698244219447/31250000000000 binary64))))))
(+.f64 x (/.f64 (*.f64 y (*.f64 (-.f64 #s(literal 124720040876201995101661081/1600000000000000000000000000 binary64) (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) (*.f64 z (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))))))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))
(+.f64 x (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal -11167812716741/40000000000000 binary64)) (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) (*.f64 z (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))))) #s(literal -124720040876201995101661081/1600000000000000000000000000 binary64)) y))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))
Outputs
(+.f64 (/.f64 y (/.f64 (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64)) (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64)))) x)
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)))
Calls

5 calls:

15.0ms
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))
15.0ms
z
14.0ms
x
12.0ms
y
12.0ms
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))
Results
AccuracySegmentsBranch
84.3%3x
85.5%3y
99.8%3z
99.5%2(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))
99.5%2(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))
Compiler

Compiled 58 to 44 computations (24.1% saved)

regimes35.0ms (0.3%)

Counts
36 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
(/.f64 y #s(literal 10000000000000000/692910599291889 binary64))
(*.f64 (*.f64 y #s(literal 31250000000000/104698244219447 binary64)) #s(literal 11167812716741/40000000000000 binary64))
(+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)))
(+.f64 x (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)))
(+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)
(/.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 y (+.f64 (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z) #s(literal 692910599291889/10000000000000000 binary64)))
(+.f64 x (*.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 y #s(literal 31250000000000/104698244219447 binary64))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3350343815022304/279195317918525 binary64) y)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)))
(+.f64 x (/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
(+.f64 x (*.f64 y (+.f64 #s(literal 279195317918525/3350343815022304 binary64) (*.f64 #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) z))))
(+.f64 x (*.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z))))
(+.f64 (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) (/.f64 (*.f64 y #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64)) z))
(+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) (*.f64 z (*.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64))))
(/.f64 (*.f64 y (+.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) (*.f64 #s(literal 692910599291889/10000000000000000 binary64) z))) z)
(*.f64 y (+.f64 #s(literal 279195317918525/3350343815022304 binary64) (*.f64 z (+.f64 #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) (*.f64 z #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64))))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) #s(literal -692910599291889/10000000000000000 binary64)))))
(/.f64 (*.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x))
(+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 3350343815022304/279195317918525 binary64) y) (/.f64 (*.f64 z #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) y))))
(+.f64 x (/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))
(*.f64 (+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 z #s(literal 692910599291889/10000000000000000 binary64))))) (/.f64 y (*.f64 z z)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y))) (+.f64 x (*.f64 #s(literal -692910599291889/10000000000000000 binary64) y)))
(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64)) (*.f64 x x)) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x))
(+.f64 x (+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) (*.f64 z (+.f64 (*.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64)) (*.f64 z (*.f64 y #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))))))
(+.f64 x (/.f64 (*.f64 y (*.f64 z (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))
(-.f64 (+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))) (/.f64 (-.f64 (*.f64 y #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64)) (/.f64 (*.f64 y #s(literal -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 binary64)) z)) z))
(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 y #s(literal 31250000000000/104698244219447 binary64)) #s(literal 11167812716741/40000000000000 binary64)) x))
(*.f64 (+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 z #s(literal 692910599291889/10000000000000000 binary64))))) (/.f64 y (+.f64 #s(literal 104698244219447/31250000000000 binary64) (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))))))
(+.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 2504069538682520235663395798110/160041699537014921582740396107 binary64) y) (/.f64 #s(literal -11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 binary64) (*.f64 y z))) z))))
(/.f64 (+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 #s(literal 692910599291889/10000000000000000 binary64) z)))) (/.f64 (+.f64 #s(literal 104698244219447/31250000000000 binary64) (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)))) y))
(+.f64 x (/.f64 (*.f64 y (*.f64 (*.f64 z z) (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 307332350656623/625000000000000 binary64) z)))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))
Outputs
(+.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 2504069538682520235663395798110/160041699537014921582740396107 binary64) y) (/.f64 #s(literal -11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 binary64) (*.f64 y z))) z))))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)))
Calls

3 calls:

12.0ms
(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))
10.0ms
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))
10.0ms
z
Results
AccuracySegmentsBranch
99.8%3z
99.7%3(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))
99.7%3(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))
Compiler

Compiled 50 to 38 computations (24% saved)

regimes116.0ms (0.9%)

Counts
35 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
(/.f64 y #s(literal 10000000000000000/692910599291889 binary64))
(*.f64 (*.f64 y #s(literal 31250000000000/104698244219447 binary64)) #s(literal 11167812716741/40000000000000 binary64))
(+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)))
(+.f64 x (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)))
(+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)
(/.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 y (+.f64 (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z) #s(literal 692910599291889/10000000000000000 binary64)))
(+.f64 x (*.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 y #s(literal 31250000000000/104698244219447 binary64))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3350343815022304/279195317918525 binary64) y)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)))
(+.f64 x (/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
(+.f64 x (*.f64 y (+.f64 #s(literal 279195317918525/3350343815022304 binary64) (*.f64 #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) z))))
(+.f64 x (*.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z))))
(+.f64 (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) (/.f64 (*.f64 y #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64)) z))
(+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) (*.f64 z (*.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64))))
(/.f64 (*.f64 y (+.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) (*.f64 #s(literal 692910599291889/10000000000000000 binary64) z))) z)
(*.f64 y (+.f64 #s(literal 279195317918525/3350343815022304 binary64) (*.f64 z (+.f64 #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) (*.f64 z #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64))))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) #s(literal -692910599291889/10000000000000000 binary64)))))
(/.f64 (*.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x))
(+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 3350343815022304/279195317918525 binary64) y) (/.f64 (*.f64 z #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) y))))
(+.f64 x (/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))
(*.f64 (+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 z #s(literal 692910599291889/10000000000000000 binary64))))) (/.f64 y (*.f64 z z)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y))) (+.f64 x (*.f64 #s(literal -692910599291889/10000000000000000 binary64) y)))
(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64)) (*.f64 x x)) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x))
(+.f64 x (+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) (*.f64 z (+.f64 (*.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64)) (*.f64 z (*.f64 y #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))))))
(+.f64 x (/.f64 (*.f64 y (*.f64 z (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))
(-.f64 (+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))) (/.f64 (-.f64 (*.f64 y #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64)) (/.f64 (*.f64 y #s(literal -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 binary64)) z)) z))
(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 y #s(literal 31250000000000/104698244219447 binary64)) #s(literal 11167812716741/40000000000000 binary64)) x))
(*.f64 (+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 z #s(literal 692910599291889/10000000000000000 binary64))))) (/.f64 y (+.f64 #s(literal 104698244219447/31250000000000 binary64) (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))))))
(+.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 2504069538682520235663395798110/160041699537014921582740396107 binary64) y) (/.f64 #s(literal -11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 binary64) (*.f64 y z))) z))))
(/.f64 (+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 #s(literal 692910599291889/10000000000000000 binary64) z)))) (/.f64 (+.f64 #s(literal 104698244219447/31250000000000 binary64) (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)))) y))
(+.f64 x (/.f64 (*.f64 y (*.f64 (*.f64 z z) (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 307332350656623/625000000000000 binary64) z)))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))
Outputs
(+.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 2504069538682520235663395798110/160041699537014921582740396107 binary64) y) (/.f64 #s(literal -11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 binary64) (*.f64 y z))) z))))
(+.f64 x (+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) (*.f64 z (+.f64 (*.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64)) (*.f64 z (*.f64 y #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))))))
(+.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 2504069538682520235663395798110/160041699537014921582740396107 binary64) y) (/.f64 #s(literal -11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 binary64) (*.f64 y z))) z))))
Calls

1 calls:

113.0ms
z
Results
AccuracySegmentsBranch
99.6%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes13.0ms (0.1%)

Counts
32 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
(/.f64 y #s(literal 10000000000000000/692910599291889 binary64))
(*.f64 (*.f64 y #s(literal 31250000000000/104698244219447 binary64)) #s(literal 11167812716741/40000000000000 binary64))
(+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)))
(+.f64 x (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)))
(+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)
(/.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 y (+.f64 (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z) #s(literal 692910599291889/10000000000000000 binary64)))
(+.f64 x (*.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 y #s(literal 31250000000000/104698244219447 binary64))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3350343815022304/279195317918525 binary64) y)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)))
(+.f64 x (/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
(+.f64 x (*.f64 y (+.f64 #s(literal 279195317918525/3350343815022304 binary64) (*.f64 #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) z))))
(+.f64 x (*.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z))))
(+.f64 (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) (/.f64 (*.f64 y #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64)) z))
(+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) (*.f64 z (*.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64))))
(/.f64 (*.f64 y (+.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) (*.f64 #s(literal 692910599291889/10000000000000000 binary64) z))) z)
(*.f64 y (+.f64 #s(literal 279195317918525/3350343815022304 binary64) (*.f64 z (+.f64 #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) (*.f64 z #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64))))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) #s(literal -692910599291889/10000000000000000 binary64)))))
(/.f64 (*.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x))
(+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 3350343815022304/279195317918525 binary64) y) (/.f64 (*.f64 z #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) y))))
(+.f64 x (/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))
(*.f64 (+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 z #s(literal 692910599291889/10000000000000000 binary64))))) (/.f64 y (*.f64 z z)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y))) (+.f64 x (*.f64 #s(literal -692910599291889/10000000000000000 binary64) y)))
(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64)) (*.f64 x x)) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x))
(+.f64 x (+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) (*.f64 z (+.f64 (*.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64)) (*.f64 z (*.f64 y #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))))))
(+.f64 x (/.f64 (*.f64 y (*.f64 z (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))
(-.f64 (+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))) (/.f64 (-.f64 (*.f64 y #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64)) (/.f64 (*.f64 y #s(literal -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 binary64)) z)) z))
(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 y #s(literal 31250000000000/104698244219447 binary64)) #s(literal 11167812716741/40000000000000 binary64)) x))
(*.f64 (+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 z #s(literal 692910599291889/10000000000000000 binary64))))) (/.f64 y (+.f64 #s(literal 104698244219447/31250000000000 binary64) (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))))))
Outputs
(-.f64 (+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))) (/.f64 (-.f64 (*.f64 y #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64)) (/.f64 (*.f64 y #s(literal -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 binary64)) z)) z))
(+.f64 x (+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) (*.f64 z (+.f64 (*.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64)) (*.f64 z (*.f64 y #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))))))
(-.f64 (+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))) (/.f64 (-.f64 (*.f64 y #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64)) (/.f64 (*.f64 y #s(literal -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 binary64)) z)) z))
Calls

1 calls:

11.0ms
z
Results
AccuracySegmentsBranch
99.5%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes13.0ms (0.1%)

Counts
29 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
(/.f64 y #s(literal 10000000000000000/692910599291889 binary64))
(*.f64 (*.f64 y #s(literal 31250000000000/104698244219447 binary64)) #s(literal 11167812716741/40000000000000 binary64))
(+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)))
(+.f64 x (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)))
(+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)
(/.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 y (+.f64 (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z) #s(literal 692910599291889/10000000000000000 binary64)))
(+.f64 x (*.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 y #s(literal 31250000000000/104698244219447 binary64))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3350343815022304/279195317918525 binary64) y)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)))
(+.f64 x (/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
(+.f64 x (*.f64 y (+.f64 #s(literal 279195317918525/3350343815022304 binary64) (*.f64 #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) z))))
(+.f64 x (*.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z))))
(+.f64 (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) (/.f64 (*.f64 y #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64)) z))
(+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) (*.f64 z (*.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64))))
(/.f64 (*.f64 y (+.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) (*.f64 #s(literal 692910599291889/10000000000000000 binary64) z))) z)
(*.f64 y (+.f64 #s(literal 279195317918525/3350343815022304 binary64) (*.f64 z (+.f64 #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) (*.f64 z #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64))))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) #s(literal -692910599291889/10000000000000000 binary64)))))
(/.f64 (*.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x))
(+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 3350343815022304/279195317918525 binary64) y) (/.f64 (*.f64 z #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) y))))
(+.f64 x (/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))
(*.f64 (+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 z #s(literal 692910599291889/10000000000000000 binary64))))) (/.f64 y (*.f64 z z)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y))) (+.f64 x (*.f64 #s(literal -692910599291889/10000000000000000 binary64) y)))
(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64)) (*.f64 x x)) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x))
(+.f64 x (+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) (*.f64 z (+.f64 (*.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64)) (*.f64 z (*.f64 y #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))))))
(+.f64 x (/.f64 (*.f64 y (*.f64 z (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))
Outputs
(+.f64 x (*.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z))))
(+.f64 x (+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) (*.f64 z (+.f64 (*.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64)) (*.f64 z (*.f64 y #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))))))
(+.f64 x (*.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z))))
Calls

1 calls:

8.0ms
z
Results
AccuracySegmentsBranch
99.3%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Counts
27 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
(/.f64 y #s(literal 10000000000000000/692910599291889 binary64))
(*.f64 (*.f64 y #s(literal 31250000000000/104698244219447 binary64)) #s(literal 11167812716741/40000000000000 binary64))
(+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)))
(+.f64 x (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)))
(+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)
(/.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 y (+.f64 (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z) #s(literal 692910599291889/10000000000000000 binary64)))
(+.f64 x (*.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 y #s(literal 31250000000000/104698244219447 binary64))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3350343815022304/279195317918525 binary64) y)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)))
(+.f64 x (/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
(+.f64 x (*.f64 y (+.f64 #s(literal 279195317918525/3350343815022304 binary64) (*.f64 #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) z))))
(+.f64 x (*.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z))))
(+.f64 (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) (/.f64 (*.f64 y #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64)) z))
(+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) (*.f64 z (*.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64))))
(/.f64 (*.f64 y (+.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) (*.f64 #s(literal 692910599291889/10000000000000000 binary64) z))) z)
(*.f64 y (+.f64 #s(literal 279195317918525/3350343815022304 binary64) (*.f64 z (+.f64 #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) (*.f64 z #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64))))))
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (/.f64 y x) #s(literal -692910599291889/10000000000000000 binary64)))))
(/.f64 (*.f64 #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x))
(+.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 3350343815022304/279195317918525 binary64) y) (/.f64 (*.f64 z #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64)) y))))
(+.f64 x (/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))
(*.f64 (+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 #s(literal 307332350656623/625000000000000 binary64) (*.f64 z #s(literal 692910599291889/10000000000000000 binary64))))) (/.f64 y (*.f64 z z)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y))) (+.f64 x (*.f64 #s(literal -692910599291889/10000000000000000 binary64) y)))
(/.f64 (-.f64 (*.f64 (*.f64 y y) #s(literal 77950025547626246938538175625/11224803678858206361900017468416 binary64)) (*.f64 x x)) (-.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x))
Outputs
(+.f64 x (*.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z))))
(+.f64 x (*.f64 y (+.f64 #s(literal 279195317918525/3350343815022304 binary64) (*.f64 #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) z))))
(+.f64 x (*.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z))))
Calls

1 calls:

8.0ms
z
Results
AccuracySegmentsBranch
99.2%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0%)

Counts
15 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
(/.f64 y #s(literal 10000000000000000/692910599291889 binary64))
(*.f64 (*.f64 y #s(literal 31250000000000/104698244219447 binary64)) #s(literal 11167812716741/40000000000000 binary64))
(+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)))
(+.f64 x (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)))
(+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)
(/.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 y (+.f64 (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z) #s(literal 692910599291889/10000000000000000 binary64)))
(+.f64 x (*.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 y #s(literal 31250000000000/104698244219447 binary64))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3350343815022304/279195317918525 binary64) y)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)))
(+.f64 x (/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
(+.f64 x (*.f64 y (+.f64 #s(literal 279195317918525/3350343815022304 binary64) (*.f64 #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) z))))
Outputs
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)))
(+.f64 x (*.f64 y (+.f64 #s(literal 279195317918525/3350343815022304 binary64) (*.f64 #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) z))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)))
Calls

1 calls:

5.0ms
z
Results
AccuracySegmentsBranch
98.8%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes47.0ms (0.4%)

Counts
14 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
(/.f64 y #s(literal 10000000000000000/692910599291889 binary64))
(*.f64 (*.f64 y #s(literal 31250000000000/104698244219447 binary64)) #s(literal 11167812716741/40000000000000 binary64))
(+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)))
(+.f64 x (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)))
(+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)
(/.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 y (+.f64 (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z) #s(literal 692910599291889/10000000000000000 binary64)))
(+.f64 x (*.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 y #s(literal 31250000000000/104698244219447 binary64))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3350343815022304/279195317918525 binary64) y)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)))
(+.f64 x (/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
Outputs
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)))
(+.f64 x (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)))
Calls

1 calls:

4.0ms
z
Results
AccuracySegmentsBranch
98.5%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes5.0ms (0%)

Counts
12 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
(/.f64 y #s(literal 10000000000000000/692910599291889 binary64))
(*.f64 (*.f64 y #s(literal 31250000000000/104698244219447 binary64)) #s(literal 11167812716741/40000000000000 binary64))
(+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)))
(+.f64 x (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)))
(+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) x)
(/.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 1 binary64) y))
(*.f64 y (+.f64 (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z) #s(literal 692910599291889/10000000000000000 binary64)))
(+.f64 x (*.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 y #s(literal 31250000000000/104698244219447 binary64))))
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3350343815022304/279195317918525 binary64) y)))
Outputs
(+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)))
(+.f64 x (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)))
(+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)))
Calls

1 calls:

4.0ms
z
Results
AccuracySegmentsBranch
98.4%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes8.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
x
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
(/.f64 y #s(literal 10000000000000000/692910599291889 binary64))
(*.f64 (*.f64 y #s(literal 31250000000000/104698244219447 binary64)) #s(literal 11167812716741/40000000000000 binary64))
(+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)))
Outputs
(+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)))
Calls

3 calls:

3.0ms
x
3.0ms
z
3.0ms
y
Results
AccuracySegmentsBranch
78.9%1x
78.9%1y
78.9%1z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes31.0ms (0.2%)

Counts
5 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
(/.f64 y #s(literal 10000000000000000/692910599291889 binary64))
(*.f64 (*.f64 y #s(literal 31250000000000/104698244219447 binary64)) #s(literal 11167812716741/40000000000000 binary64))
Outputs
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
x
(/.f64 y #s(literal 10000000000000000/692910599291889 binary64))
Calls

3 calls:

26.0ms
y
2.0ms
x
2.0ms
z
Results
AccuracySegmentsBranch
54.4%4z
64.1%3y
61.5%3x
Compiler

Compiled 12 to 9 computations (25% saved)

regimes2.0ms (0%)

Counts
3 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
Outputs
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
x
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
64.0%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes2.0ms (0%)

Counts
2 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
Outputs
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
x
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
63.6%3y
Compiler

Compiled 4 to 3 computations (25% saved)

regimes4.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

1.0ms
y
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
48.3%1z
48.3%1x
48.3%1y
Compiler

Compiled 12 to 9 computations (25% saved)

bsearch1.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.3470437254334224e+304
+inf
Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch110.0ms (0.9%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
62.0ms
11516386625.915472
8.315100881741213e+28
41.0ms
-1850775.1484644096
-1.8281354476061717e-10
Results
91.0ms320×0valid
Compiler

Compiled 870 to 663 computations (23.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-add: 35.0ms (45.6% of total)
...c/correct-round.rkt:119:19: 28.0ms (36.5% of total)
ival-mult: 11.0ms (14.3% of total)
ival-div: 2.0ms (2.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch81.0ms (0.7%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
35.0ms
1.2766379833443975e-5
12.01950119421676
40.0ms
-1850775.1484644096
-1.8281354476061717e-10
Results
57.0ms304×0valid
Compiler

Compiled 866 to 631 computations (27.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
...c/correct-round.rkt:119:19: 27.0ms (58.8% of total)
ival-mult: 9.0ms (19.6% of total)
ival-add: 8.0ms (17.4% of total)
ival-div: 2.0ms (4.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch128.0ms (1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
53.0ms
1.2766379833443975e-5
12.01950119421676
69.0ms
-1850775.1484644096
-1.8281354476061717e-10
Results
110.0ms304×0valid
Compiler

Compiled 828 to 593 computations (28.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-add: 43.0ms (43.5% of total)
ival-div: 25.0ms (25.3% of total)
...c/correct-round.rkt:119:19: 22.0ms (22.2% of total)
ival-mult: 9.0ms (9.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch119.0ms (1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
34.0ms
1.2766379833443975e-5
12.01950119421676
79.0ms
-1850775.1484644096
-1.8281354476061717e-10
Results
95.0ms304×0valid
Compiler

Compiled 676 to 498 computations (26.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
...c/correct-round.rkt:119:19: 22.0ms (53.1% of total)
ival-mult: 9.0ms (21.7% of total)
ival-add: 8.0ms (19.3% of total)
ival-div: 2.0ms (4.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch80.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
36.0ms
1.2766379833443975e-5
12.01950119421676
38.0ms
-1850775.1484644096
-1.8281354476061717e-10
Results
62.0ms304×0valid
Compiler

Compiled 524 to 403 computations (23.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
...c/correct-round.rkt:119:19: 27.0ms (52.8% of total)
ival-mult: 13.0ms (25.4% of total)
ival-add: 8.0ms (15.6% of total)
ival-div: 2.0ms (3.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch102.0ms (0.8%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
34.0ms
1.2766379833443975e-5
12.01950119421676
62.0ms
-1850775.1484644096
-1.8281354476061717e-10
Results
85.0ms304×0valid
Compiler

Compiled 486 to 384 computations (21% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
...c/correct-round.rkt:119:19: 53.0ms (71.8% of total)
ival-mult: 9.0ms (12.2% of total)
ival-add: 8.0ms (10.8% of total)
ival-div: 4.0ms (5.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch107.0ms (0.9%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
41.0ms
1.2766379833443975e-5
12.01950119421676
44.0ms
-1850775.1484644096
-1.8281354476061717e-10
Results
74.0ms304×0valid
Compiler

Compiled 410 to 327 computations (20.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
...c/correct-round.rkt:119:19: 22.0ms (42.2% of total)
ival-add: 18.0ms (34.6% of total)
ival-mult: 9.0ms (17.3% of total)
ival-div: 2.0ms (3.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch120.0ms (1%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
64.0ms
1.2766379833443975e-5
12.01950119421676
50.0ms
-1850775.1484644096
-1.8281354476061717e-10
Results
69.0ms304×0valid
Compiler

Compiled 372 to 289 computations (22.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
...c/correct-round.rkt:119:19: 39.0ms (67.2% of total)
ival-mult: 9.0ms (15.5% of total)
ival-add: 8.0ms (13.8% of total)
ival-div: 2.0ms (3.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch94.0ms (0.8%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
58.0ms
6.942905076424511e-6
189189.83240608507
30.0ms
-5.1305838731785104e-30
-2.2120595895464026e-34
Results
79.0ms288×0valid
Compiler

Compiled 246 to 203 computations (17.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-add: 30.0ms (44.1% of total)
...c/correct-round.rkt:119:19: 24.0ms (35.3% of total)
ival-mult: 12.0ms (17.6% of total)
ival-div: 2.0ms (2.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch75.0ms (0.6%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
38.0ms
6.942905076424511e-6
189189.83240608507
31.0ms
-5.1305838731785104e-30
-2.2120595895464026e-34
Results
59.0ms288×0valid
Compiler

Compiled 246 to 203 computations (17.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
...c/correct-round.rkt:119:19: 28.0ms (58.2% of total)
ival-mult: 11.0ms (22.8% of total)
ival-add: 7.0ms (14.5% of total)
ival-div: 2.0ms (4.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch245.0ms (2%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
37.0ms
6.942905076424511e-6
189189.83240608507
22.0ms
-2.2321548430711676e+133
-4.339429557901926e+132
Results
51.0ms256×0valid
Compiler

Compiled 222 to 183 computations (17.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 42.0ms
...c/correct-round.rkt:119:19: 21.0ms (50.5% of total)
ival-mult: 12.0ms (28.8% of total)
ival-add: 7.0ms (16.8% of total)
ival-div: 2.0ms (4.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify98.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
540×unsub-neg_binary64
508×distribute-lft-neg-in_binary64
376×neg-mul-1_binary64
328×cancel-sign-sub_binary64
262×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0127369
1196369
2222369
3254369
4309369
5374369
6463369
7707369
81066369
91335369
101576369
111833369
121957369
131994369
142007369
152008369
162008369
172010369
182010369
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))) #s(literal 39999999999999997570142100221458487440161148880469299812763086285292818252052935611373237029762030993747424472224648690314868774970544122120943195363467531099949205766728044164270841012649763623374879210194206396306558730203287330638196449078431799221384139674650289625630417523383839448299617392552574976 binary64)) (+.f64 (/.f64 y (/.f64 (+.f64 (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))) #s(literal 104698244219447/31250000000000 binary64)) (+.f64 (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))) #s(literal 11167812716741/40000000000000 binary64)))) x) (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y))))
(if (<=.f64 z #s(literal -800000 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 2504069538682520235663395798110/160041699537014921582740396107 binary64) y) (/.f64 #s(literal -11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 binary64) (*.f64 y z))) z)))) (if (<=.f64 z #s(literal 125000000000000 binary64)) (+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64)))) (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)))))
(if (<=.f64 z #s(literal -11/2 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 2504069538682520235663395798110/160041699537014921582740396107 binary64) y) (/.f64 #s(literal -11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 binary64) (*.f64 y z))) z)))) (if (<=.f64 z #s(literal 5 binary64)) (+.f64 x (+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) (*.f64 z (+.f64 (*.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64)) (*.f64 z (*.f64 y #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64))))))) (+.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y) (/.f64 (+.f64 (/.f64 #s(literal 2504069538682520235663395798110/160041699537014921582740396107 binary64) y) (/.f64 #s(literal -11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 binary64) (*.f64 y z))) z))))))
(if (<=.f64 z #s(literal -11/2 binary64)) (-.f64 (+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))) (/.f64 (-.f64 (*.f64 y #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64)) (/.f64 (*.f64 y #s(literal -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 binary64)) z)) z)) (if (<=.f64 z #s(literal 2589569785738035/562949953421312 binary64)) (+.f64 x (+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) (*.f64 z (+.f64 (*.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64)) (*.f64 z (*.f64 y #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64))))))) (-.f64 (+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))) (/.f64 (-.f64 (*.f64 y #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64)) (/.f64 (*.f64 y #s(literal -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 binary64)) z)) z))))
(if (<=.f64 z #s(literal -11/2 binary64)) (+.f64 x (*.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z)))) (if (<=.f64 z #s(literal 2476979795053773/562949953421312 binary64)) (+.f64 x (+.f64 (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) (*.f64 z (+.f64 (*.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64)) (*.f64 z (*.f64 y #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64))))))) (+.f64 x (*.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z))))))
(if (<=.f64 z #s(literal -11/2 binary64)) (+.f64 x (*.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z)))) (if (<=.f64 z #s(literal 5854679515581645/1125899906842624 binary64)) (+.f64 x (*.f64 y (+.f64 #s(literal 279195317918525/3350343815022304 binary64) (*.f64 #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) z)))) (+.f64 x (*.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z))))))
(if (<=.f64 z #s(literal -11/2 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y))) (if (<=.f64 z #s(literal 5854679515581645/1125899906842624 binary64)) (+.f64 x (*.f64 y (+.f64 #s(literal 279195317918525/3350343815022304 binary64) (*.f64 #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) z)))) (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)))))
(if (<=.f64 z #s(literal -11/2 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y))) (if (<=.f64 z #s(literal 3321404725185741/562949953421312 binary64)) (+.f64 x (*.f64 y #s(literal 279195317918525/3350343815022304 binary64))) (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)))))
(if (<=.f64 z #s(literal -11/2 binary64)) (+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))) (if (<=.f64 z #s(literal 3152519739159347/562949953421312 binary64)) (+.f64 x (*.f64 y #s(literal 279195317918525/3350343815022304 binary64))) (+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)))))
(+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)))
(if (<=.f64 y #s(literal -6565339386447415/1427247692705959881058285969449495136382746624 binary64)) (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) (if (<=.f64 y #s(literal 185000 binary64)) x (/.f64 y #s(literal 10000000000000000/692910599291889 binary64))))
(if (<=.f64 y #s(literal -321130730858841/89202980794122492566142873090593446023921664 binary64)) (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) (if (<=.f64 y #s(literal 9000 binary64)) x (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)))
(if (<=.f64 y #s(literal -15500000000000000094270331914966662010816677775590198966231865133816551858506554786590496105774658009214432453534858577077104606707712 binary64)) (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) (if (<=.f64 y #s(literal 315 binary64)) x (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)))
x
Outputs
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(if (<=.f64 (/.f64 (*.f64 y (+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))))) (+.f64 #s(literal 104698244219447/31250000000000 binary64) (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))))) #s(literal 39999999999999997570142100221458487440161148880469299812763086285292818252052935611373237029762030993747424472224648690314868774970544122120943195363467531099949205766728044164270841012649763623374879210194206396306558730203287330638196449078431799221384139674650289625630417523383839448299617392552574976 binary64)) (+.f64 (/.f64 y (/.f64 (+.f64 #s(literal 104698244219447/31250000000000 binary64) (*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)))) (+.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)))))) x) (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y))))
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(+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)))
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(if (<=.f64 y #s(literal -321130730858841/89202980794122492566142873090593446023921664 binary64)) (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) (if (<=.f64 y #s(literal 9000 binary64)) x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))))
(if (<=.f64 y #s(literal -15500000000000000094270331914966662010816677775590198966231865133816551858506554786590496105774658009214432453534858577077104606707712 binary64)) (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) (if (<=.f64 y #s(literal 315 binary64)) x (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)))
(if (<=.f64 y #s(literal -15500000000000000094270331914966662010816677775590198966231865133816551858506554786590496105774658009214432453534858577077104606707712 binary64)) (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) (if (<=.f64 y #s(literal 315 binary64)) x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))))
x

soundness2.1s (17.1%)

Rules
4592×*-lowering-*.f32
4592×*-lowering-*.f64
3808×*-lowering-*.f32
3808×*-lowering-*.f64
3768×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01941878
16541594
222911476
081201476
04364575
114634017
249623833
083583833
01858
111557
295757
0870857
034113
1193108
21848107
08100107
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
Compiler

Compiled 827 to 426 computations (48.5% saved)

preprocess138.0ms (1.1%)

Compiler

Compiled 1064 to 354 computations (66.7% saved)

end0.0ms (0%)

Profiling

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