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

Time bar (total: 11.4s)

analyze208.0ms (1.8%)

Memory
17.6MiB live, 365.8MiB allocated
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 23 to 20 computations (13% saved)

sample1.9s (16.8%)

Memory
36.4MiB live, 2 759.7MiB allocated
Samples
1.5s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
const: 634.0ms (53.2% of total)
ival-mult: 254.0ms (21.3% of total)
ival-add: 226.0ms (19% of total)
ival-div: 67.0ms (5.6% of total)
ival-true: 6.0ms (0.5% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess82.0ms (0.7%)

Memory
5.4MiB live, 102.3MiB allocated
Algorithm
2×egg-herbie
Rules
1 622×unsub-neg
1 038×accelerator-lowering-fma.f32
1 038×accelerator-lowering-fma.f64
930×distribute-lft-in
898×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061223
1171211
2440211
31506210
44788210
01821
13521
26321
314021
427221
539021
647521
755921
865921
966521
066517
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)))
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x)
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)))
(+ x (* (+ (* z (- 307332350656623/625000000000000 (* z -692910599291889/10000000000000000))) 11167812716741/40000000000000) (/ y (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))))
(+ (neg x) (/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(- (* (+ (* z (- 307332350656623/625000000000000 (* z -692910599291889/10000000000000000))) 11167812716741/40000000000000) (/ y (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))) x)
(+ x (/ (* (neg y) (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+ x (* (+ (* z (- 307332350656623/625000000000000 (* z -692910599291889/10000000000000000))) 11167812716741/40000000000000) (/ y (- -104698244219447/31250000000000 (* z (+ z 6012459259764103/1000000000000000))))))
(+ x (/ (* y (+ (* (+ (* (neg z) 692910599291889/10000000000000000) 307332350656623/625000000000000) (neg z)) 11167812716741/40000000000000)) (+ (* (+ (neg z) 6012459259764103/1000000000000000) (neg z)) 104698244219447/31250000000000)))
(+ x (* y (/ (+ 11167812716741/40000000000000 (* z (+ (* z 692910599291889/10000000000000000) -307332350656623/625000000000000))) (+ 104698244219447/31250000000000 (* z (+ z -6012459259764103/1000000000000000))))))
(neg (+ (neg x) (/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))))
(+ x (* (+ (* z (- 307332350656623/625000000000000 (* z -692910599291889/10000000000000000))) 11167812716741/40000000000000) (/ y (- -104698244219447/31250000000000 (* z (+ z 6012459259764103/1000000000000000))))))
(neg (+ x (/ (* (neg y) (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))))
(- (* (+ (* z (- 307332350656623/625000000000000 (* z -692910599291889/10000000000000000))) 11167812716741/40000000000000) (/ y (+ (* 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))))
(- (* y (/ (+ 11167812716741/40000000000000 (* z (+ (* z 692910599291889/10000000000000000) -307332350656623/625000000000000))) (+ (* z (- 6012459259764103/1000000000000000 z)) -104698244219447/31250000000000))) x)
(+ y (/ (* x (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+ y (* x (/ (+ (* z (- 307332350656623/625000000000000 (* z -692910599291889/10000000000000000))) 11167812716741/40000000000000) (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))))
(+ z (/ (* y (+ (* (+ (* x 692910599291889/10000000000000000) 307332350656623/625000000000000) x) 11167812716741/40000000000000)) (+ (* (+ x 6012459259764103/1000000000000000) x) 104698244219447/31250000000000)))
(+ z (* y (/ (+ 11167812716741/40000000000000 (* x (+ 307332350656623/625000000000000 (* x 692910599291889/10000000000000000)))) (+ 104698244219447/31250000000000 (* x (+ x 6012459259764103/1000000000000000))))))
(+ x (/ (* z (+ (* (+ (* y 692910599291889/10000000000000000) 307332350656623/625000000000000) y) 11167812716741/40000000000000)) (+ (* (+ y 6012459259764103/1000000000000000) y) 104698244219447/31250000000000)))
(+ x (* z (/ (+ 11167812716741/40000000000000 (* y (+ 307332350656623/625000000000000 (* y 692910599291889/10000000000000000)))) (+ 104698244219447/31250000000000 (* y (+ y 6012459259764103/1000000000000000))))))

explain318.0ms (2.8%)

Memory
0.9MiB live, 543.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
850-0-(/.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)))
80-0-(*.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-(+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))
00-0-#s(literal 104698244219447/31250000000000 binary64)
00-0-(*.f64 z #s(literal 692910599291889/10000000000000000 binary64))
00-0-#s(literal 692910599291889/10000000000000000 binary64)
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-y
00-0-(+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))
00-0-#s(literal 6012459259764103/1000000000000000 binary64)
00-0-#s(literal 307332350656623/625000000000000 binary64)
00-0-(+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))
00-0-(*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z)
00-0-z
00-0-#s(literal 11167812716741/40000000000000 binary64)
00-0-(*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z)
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-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.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)))o/o370
↳(*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64)))overflow77
↳(+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))overflow64
↳(*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z)overflow64
↳(+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))overflow64
↳(*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z)overflow64
/.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)))o/n210
↳(*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64)))overflow77
↳(+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))overflow64
↳(*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z)overflow64
*.f64(*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64)))n*o80
/.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)))n/o40
↳(+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))overflow64
↳(*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z)overflow64
Confusion
Predicted +Predicted -
+6619
-0171
Precision
1.0
Recall
0.7764705882352941
Confusion?
Predicted +Predicted MaybePredicted -
+66019
-00171
Precision?
1.0
Recall?
0.7764705882352941
Freqs
test
numberfreq
0190
162
24
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
120.0ms512×0valid
Compiler

Compiled 248 to 76 computations (69.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 94.0ms
const: 65.0ms (69.1% of total)
ival-mult: 13.0ms (13.8% of total)
ival-add: 12.0ms (12.8% of total)
ival-div: 3.0ms (3.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶67.2%
(+.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))))
Compiler

Compiled 24 to 18 computations (25% saved)

simplify35.0ms (0.3%)

Memory
11.6MiB live, 61.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff128
(+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))
✓cost-diff128
(+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64))
✓cost-diff128
(+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64))
✓cost-diff128
(+.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
1 038×accelerator-lowering-fma.f32
1 038×accelerator-lowering-fma.f64
394×*-lowering-*.f32
394×*-lowering-*.f64
224×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01898
13598
26398
314098
427298
539098
647598
755998
865998
966598
066584
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)))
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x)
x
(/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
(/.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (fma.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 (fma.f64 z (fma.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)
(fma.f64 z (fma.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 (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)))
(+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)
(fma.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)
(fma.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)

localize72.0ms (0.6%)

Memory
-15.3MiB live, 176.4MiB allocated
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))
✓accuracy96.6%
(*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 307332350656623/625000000000000 binary64)) z) #s(literal 11167812716741/40000000000000 binary64)))
✓accuracy67.7%
(/.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)))
Samples
50.0ms256×0valid
Compiler

Compiled 100 to 20 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
const: 22.0ms (57.2% of total)
ival-mult: 9.0ms (23.4% of total)
ival-add: 5.0ms (13% of total)
ival-div: 2.0ms (5.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory
6.0MiB live, 43.6MiB allocated
Counts
8 → 144
Calls
Call 1
Inputs
#<alt (+ x (/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))>
#<alt (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)>
#<alt (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)>
#<alt (+ (* (+ 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)>
#<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)))))>
#<alt (+ x (/ (* 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)))))>
#<alt x>
#<alt (* x (+ 1 (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))))>
#<alt (* x (+ 1 (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))))>
#<alt (* x (+ 1 (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))) 1)))>
#<alt x>
#<alt (+ x (* y (+ (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) (/ (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))))>
#<alt (+ x (* y (+ (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) (/ (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))))>
#<alt (+ x (* y (+ (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) (/ (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))))>
#<alt (* y (+ (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) (/ (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))>
#<alt (* y (+ (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) (+ (/ x y) (/ (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))))>
#<alt (* y (+ (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) (+ (/ x y) (/ (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))))>
#<alt (* y (+ (* 11167812716741/40000000000000 (/ 1 (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))) (+ (/ x y) (/ (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))))>
#<alt (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))))))>
#<alt (+ x (* 279195317918525/3350343815022304 y))>
#<alt (+ x (+ (* 279195317918525/3350343815022304 y) (* z (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y)))))>
#<alt (+ 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)))))>
#<alt (+ 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)))))>
#<alt (+ x (* 692910599291889/10000000000000000 y))>
#<alt (- (+ x (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z)))) (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z)))>
#<alt (- (+ 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))))))>
#<alt (- (+ 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))))))>
#<alt (+ x (* 692910599291889/10000000000000000 y))>
#<alt (+ x (+ (* -1 (/ (- (* -307332350656623/625000000000000 y) (* -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (* 692910599291889/10000000000000000 y)))>
#<alt (+ 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)))>
#<alt (+ 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)))>
#<alt 11167812716741/40000000000000>
#<alt (+ 11167812716741/40000000000000 (* 307332350656623/625000000000000 z))>
#<alt (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))>
#<alt (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))>
#<alt (* 692910599291889/10000000000000000 (pow z 2))>
#<alt (* (pow z 2) (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))>
#<alt (* (pow z 2) (+ 692910599291889/10000000000000000 (+ (/ 11167812716741/40000000000000 (pow z 2)) (* 307332350656623/625000000000000 (/ 1 z)))))>
#<alt (* (pow z 2) (+ 692910599291889/10000000000000000 (+ (/ 11167812716741/40000000000000 (pow z 2)) (* 307332350656623/625000000000000 (/ 1 z)))))>
#<alt (* 692910599291889/10000000000000000 (pow z 2))>
#<alt (* (pow z 2) (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))>
#<alt (* (pow z 2) (+ 692910599291889/10000000000000000 (+ (/ 11167812716741/40000000000000 (pow z 2)) (* 307332350656623/625000000000000 (/ 1 z)))))>
#<alt (* (pow z 2) (+ 692910599291889/10000000000000000 (+ (/ 11167812716741/40000000000000 (pow z 2)) (* 307332350656623/625000000000000 (/ 1 z)))))>
#<alt 307332350656623/625000000000000>
#<alt (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))>
#<alt (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))>
#<alt (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))>
#<alt (* 692910599291889/10000000000000000 z)>
#<alt (* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))>
#<alt (* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))>
#<alt (* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))>
#<alt (* 692910599291889/10000000000000000 z)>
#<alt (* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))>
#<alt (* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))>
#<alt (* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))>
#<alt 104698244219447/31250000000000>
#<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 (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))>
#<alt (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))>
#<alt (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))>
#<alt (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))>
#<alt (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))>
#<alt (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))>
#<alt (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))>
#<alt (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))>
#<alt (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))>
#<alt (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))>
#<alt (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))>
#<alt (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))))>
#<alt (* 279195317918525/3350343815022304 y)>
#<alt (+ (* 279195317918525/3350343815022304 y) (* z (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y))))>
#<alt (+ (* 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))))>
#<alt (+ (* 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))))>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (- (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z))) (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z)))>
#<alt (- (+ (* 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))))))>
#<alt (- (+ (* -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))))))>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (+ (* -1 (/ (- (* -307332350656623/625000000000000 y) (* -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (* 692910599291889/10000000000000000 y))>
#<alt (+ (* -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))>
#<alt (+ (* -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))>
#<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)))>
#<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))))>
Calls

36 calls:

TimeVariablePointExpression
4.0ms
y
@inf
(/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
1.0ms
z
@0
(+ x (/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
1.0ms
x
@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)))
1.0ms
z
@-inf
(+ x (/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))

rewrite599.0ms (5.2%)

Memory
23.8MiB live, 699.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8 458×accelerator-lowering-fma.f32
8 458×accelerator-lowering-fma.f64
5 866×*-lowering-*.f32
5 866×*-lowering-*.f64
3 198×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01880
111280
291080
0834767
Stop Event
1×iter limit
1×node limit
Counts
8 → 423
Calls
Call 1
Inputs
(+ x (/ (* y (+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+ (* (+ z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+ (* (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)
(+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)
(+ (* (+ 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)
(* (+ z 6012459259764103/1000000000000000) z)
Outputs
(+.f64 x (/.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))))
(+.f64 (/.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x)
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))))) (neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)))) (*.f64 (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))) (-.f64 x (/.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))))))
(-.f64 x (/.f64 (*.f64 y (fma.f64 z (fma.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 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)))) (*.f64 (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))) (-.f64 x (/.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)))) (*.f64 (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))) (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) (neg.f64 x))))
(fma.f64 x #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))))
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x)
(fma.f64 y (*.f64 (/.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (/.f64 y (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x)
(fma.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) y) x)
(fma.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (*.f64 (/.f64 y (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) #s(literal 1 binary64)) x)
(fma.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))) x)
(fma.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x)
(fma.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) #s(literal 1 binary64) x)
(fma.f64 (neg.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x)
(fma.f64 (neg.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) #s(literal 1 binary64)) x)
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(/.f64 (neg.f64 (*.f64 (fma.f64 z z #s(literal -36149666350323105395943207394609/1000000000000000000000000000000 binary64)) z)) (+.f64 (neg.f64 z) #s(literal 6012459259764103/1000000000000000 binary64)))
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(/.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 217348396185382961186752534140230541334573920727/1000000000000000000000000000000000000000000000 binary64) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 z (*.f64 z z)))) (fma.f64 z (*.f64 z #s(literal 36149666350323105395943207394609/1000000000000000000000000000000 binary64)) (-.f64 (*.f64 z (*.f64 z (*.f64 z z))) (*.f64 (*.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) (*.f64 z z)))))
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(*.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)))
(*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z)
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(*.f64 (*.f64 (fma.f64 z z #s(literal -36149666350323105395943207394609/1000000000000000000000000000000 binary64)) z) (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal -6012459259764103/1000000000000000 binary64))))

simplify546.0ms (4.8%)

Memory
-34.6MiB live, 504.0MiB allocated
Algorithm
1×egg-herbie
Rules
12 724×accelerator-lowering-fma.f32
12 724×accelerator-lowering-fma.f64
4 362×+-lowering-+.f64
4 362×+-lowering-+.f32
4 106×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02002113
16271962
219231764
372391764
082801543
Stop Event
1×iter limit
1×node limit
Counts
144 → 144
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)))))))
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(+ 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))
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(+ 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)))))
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(- (+ 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))))))
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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))))
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(* (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)))))
307332350656623/625000000000000
(+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))
(+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))
(+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))
(* 692910599291889/10000000000000000 z)
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))
(* 692910599291889/10000000000000000 z)
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))
104698244219447/31250000000000
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(+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))
(+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))
(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)))))
(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)))))
(/ (* 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)
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(* 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))))))
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(* 692910599291889/10000000000000000 y)
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(* 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)))))
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(* 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))))
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(* (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)))
(* 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
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(+ x (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))
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eval93.0ms (0.8%)

Memory
24.8MiB live, 137.4MiB allocated
Compiler

Compiled 18 922 to 1 836 computations (90.3% saved)

prune184.0ms (1.6%)

Memory
-21.4MiB live, 135.5MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New55215567
Fresh000
Picked101
Done000
Total55315568
Accuracy
99.9%
Counts
568 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.1%
(fma.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (/.f64 y (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x)
61.8%
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▶67.3%
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57.5%
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76.4%
(fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) x)
▶82.6%
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)
▶29.2%
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▶74.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x)))
41.0%
(+.f64 x (/.f64 (*.f64 z (fma.f64 z (*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z z)))) (*.f64 y #s(literal 307332350656623/625000000000000 binary64)))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))
58.3%
(+.f64 x (/.f64 (*.f64 y (/.f64 (fma.f64 z (*.f64 (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) (*.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)))) #s(literal -124720040876201995101661081/1600000000000000000000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal -11167812716741/40000000000000 binary64)))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))
67.1%
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (/.f64 (fma.f64 (*.f64 z z) #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) #s(literal -94453173760125479739253764129/390625000000000000000000000000 binary64)) (fma.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))))
67.2%
(+.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 z (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)))) #s(literal 104698244219447/31250000000000 binary64))))
71.1%
(+.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))))
67.1%
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)) (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))))))
▶50.7%
x
Compiler

Compiled 560 to 392 computations (30% saved)

simplify399.0ms (3.5%)

Memory
-12.1MiB live, 311.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
✓cost-diff0
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x)))
✓cost-diff0
(fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64))
✓cost-diff0
(fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))
✓cost-diff0
(*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)))
✓cost-diff0
(/.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
✓cost-diff0
(/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z)
✓cost-diff0
(-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z))
✓cost-diff0
(fma.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) x)
✓cost-diff0
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)
Rules
9 378×accelerator-lowering-fma.f32
9 378×accelerator-lowering-fma.f64
3 074×*-lowering-*.f32
3 074×*-lowering-*.f64
1 828×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030207
167207
2144207
3261207
4428207
5764207
61129207
71850207
82115207
92422207
103630207
115957207
127102207
08012177
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* y 692910599291889/10000000000000000) x)
y
692910599291889/10000000000000000
x
x
(+ (* y (- 692910599291889/10000000000000000 (/ -751220861604756070699018739433/10000000000000000000000000000000 z))) x)
y
(- 692910599291889/10000000000000000 (/ -751220861604756070699018739433/10000000000000000000000000000000 z))
692910599291889/10000000000000000
(/ -751220861604756070699018739433/10000000000000000000000000000000 z)
-751220861604756070699018739433/10000000000000000000000000000000
z
x
(/ (* y (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) (+ (* z (+ z 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)
692910599291889/10000000000000000
307332350656623/625000000000000
11167812716741/40000000000000
(+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)
(+ z 6012459259764103/1000000000000000)
6012459259764103/1000000000000000
104698244219447/31250000000000
(/ 1 (/ 1 (+ (* y (/ (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))) x)))
1
(/ 1 (+ (* y (/ (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))) x))
(+ (* y (/ (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))) x)
y
(/ (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))
(+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)
z
(+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)
692910599291889/10000000000000000
307332350656623/625000000000000
11167812716741/40000000000000
(+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)
(+ z 6012459259764103/1000000000000000)
6012459259764103/1000000000000000
104698244219447/31250000000000
x
Outputs
(+ (* y 692910599291889/10000000000000000) x)
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)
y
692910599291889/10000000000000000
#s(literal 692910599291889/10000000000000000 binary64)
x
x
(+ (* y (- 692910599291889/10000000000000000 (/ -751220861604756070699018739433/10000000000000000000000000000000 z))) x)
(fma.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) x)
y
(- 692910599291889/10000000000000000 (/ -751220861604756070699018739433/10000000000000000000000000000000 z))
(+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z))
692910599291889/10000000000000000
#s(literal 692910599291889/10000000000000000 binary64)
(/ -751220861604756070699018739433/10000000000000000000000000000000 z)
(/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z)
-751220861604756070699018739433/10000000000000000000000000000000
#s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64)
z
x
(/ (* y (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))
(/.f64 (*.f64 y (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
(* y (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))
(*.f64 y (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)))
y
(+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)
(fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))
z
(+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64))
692910599291889/10000000000000000
#s(literal 692910599291889/10000000000000000 binary64)
307332350656623/625000000000000
#s(literal 307332350656623/625000000000000 binary64)
11167812716741/40000000000000
#s(literal 11167812716741/40000000000000 binary64)
(+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)
(fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 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)
(/ 1 (/ 1 (+ (* y (/ (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))) x)))
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x)
1
#s(literal 1 binary64)
(/ 1 (+ (* y (/ (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))) x))
(/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x))
(+ (* y (/ (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))) x)
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x)
y
(/ (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))
(/.f64 (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
(+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)
(fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))
z
(+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64))
692910599291889/10000000000000000
#s(literal 692910599291889/10000000000000000 binary64)
307332350656623/625000000000000
#s(literal 307332350656623/625000000000000 binary64)
11167812716741/40000000000000
#s(literal 11167812716741/40000000000000 binary64)
(+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)
(fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 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)
x

localize129.0ms (1.1%)

Memory
12.4MiB live, 285.1MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x)
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x)))
✓accuracy99.6%
(fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64))
✓accuracy75.6%
(/.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
✓accuracy99.9%
(fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))
✓accuracy99.6%
(fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64))
✓accuracy96.6%
(*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)))
✓accuracy67.7%
(/.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
✓accuracy100.0%
(-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z))
✓accuracy99.7%
(/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z)
✓accuracy99.7%
(fma.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) x)
✓accuracy99.6%
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)
Samples
83.0ms256×0valid
Compiler

Compiled 183 to 32 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
const: 33.0ms (51.3% of total)
ival-mult: 13.0ms (20.2% of total)
ival-add: 9.0ms (14% of total)
ival-div: 8.0ms (12.4% of total)
ival-sub: 1.0ms (1.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series29.0ms (0.3%)

Memory
20.1MiB live, 58.2MiB allocated
Counts
12 → 276
Calls
Call 1
Inputs
#<alt (+ (* y 692910599291889/10000000000000000) x)>
#<alt (+ (* y (- 692910599291889/10000000000000000 (/ -751220861604756070699018739433/10000000000000000000000000000000 z))) x)>
#<alt (- 692910599291889/10000000000000000 (/ -751220861604756070699018739433/10000000000000000000000000000000 z))>
#<alt (/ -751220861604756070699018739433/10000000000000000000000000000000 z)>
#<alt (/ (* y (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))>
#<alt (* y (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))>
#<alt (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)>
#<alt (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)>
#<alt (/ 1 (/ 1 (+ (* y (/ (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))) x)))>
#<alt (/ 1 (+ (* y (/ (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))) x))>
#<alt (+ (* y (/ (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))) x)>
#<alt (/ (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))>
Outputs
#<alt x>
#<alt (+ x (* 692910599291889/10000000000000000 y))>
#<alt (+ x (* 692910599291889/10000000000000000 y))>
#<alt (+ x (* 692910599291889/10000000000000000 y))>
#<alt (* 692910599291889/10000000000000000 y)>
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#<alt (+ x (+ (* 279195317918525/3350343815022304 y) (* z (- (* 307332350656623/2093964884388940 y) (* 1678650474502018223880473708075/11224803678858206361900017468416 y)))))>
#<alt (+ 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)))))>
#<alt (+ 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)))))>
#<alt (+ x (* 692910599291889/10000000000000000 y))>
#<alt (- (+ x (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z)))) (* 4166096748901211929300981260567/10000000000000000000000000000000 (/ y z)))>
#<alt (- (+ 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))))))>
#<alt (- (+ 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))))))>
#<alt (+ x (* 692910599291889/10000000000000000 y))>
#<alt (+ x (+ (* -1 (/ (- (* -307332350656623/625000000000000 y) (* -4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (* 692910599291889/10000000000000000 y)))>
#<alt (+ 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)))>
#<alt (+ 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)))>
#<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)))))>
#<alt (+ x (/ (* 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)))))>
#<alt x>
#<alt (* x (+ 1 (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))))>
#<alt (* x (+ 1 (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))))>
#<alt (* x (+ 1 (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))) 1)))>
#<alt 279195317918525/3350343815022304>
#<alt (+ 279195317918525/3350343815022304 (* -155900051080628738716045985239/56124018394291031809500087342080 z))>
#<alt (+ 279195317918525/3350343815022304 (* z (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080)))>
#<alt (+ 279195317918525/3350343815022304 (* z (- (* z (+ 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z))) 155900051080628738716045985239/56124018394291031809500087342080)))>
#<alt 692910599291889/10000000000000000>
#<alt (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))>
#<alt (- (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))) (/ 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (pow z 2)))>
#<alt (- (+ 692910599291889/10000000000000000 (+ (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)) (* 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/ 1 (pow z 3))))) (/ 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (pow z 2)))>
#<alt 692910599291889/10000000000000000>
#<alt (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))>
#<alt (+ 692910599291889/10000000000000000 (* -1 (/ (- (* 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/ 1 z)) 751220861604756070699018739433/10000000000000000000000000000000) z)))>
#<alt (+ 692910599291889/10000000000000000 (* -1 (/ (- (* -1 (/ (- (* 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/ 1 z)) 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000) z)) 751220861604756070699018739433/10000000000000000000000000000000) z)))>
Calls

69 calls:

TimeVariablePointExpression
4.0ms
z
@inf
(/ 1 (+ (* y (/ (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))) x))
3.0ms
z
@-inf
(/ 1 (+ (* y (/ (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))) x))
2.0ms
z
@0
(/ 1 (+ (* y (/ (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))) x))
1.0ms
y
@0
(/ 1 (+ (* y (/ (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))) x))
1.0ms
y
@inf
(/ 1 (+ (* y (/ (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))) x))

rewrite459.0ms (4%)

Memory
2.3MiB live, 785.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 770×/-lowering-/.f32
4 770×/-lowering-/.f64
4 414×accelerator-lowering-fma.f32
4 414×accelerator-lowering-fma.f64
4 374×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030148
1202148
21652148
08499123
Stop Event
1×iter limit
1×node limit
Counts
12 → 667
Calls
Call 1
Inputs
(+ (* y 692910599291889/10000000000000000) x)
(+ (* y (- 692910599291889/10000000000000000 (/ -751220861604756070699018739433/10000000000000000000000000000000 z))) x)
(- 692910599291889/10000000000000000 (/ -751220861604756070699018739433/10000000000000000000000000000000 z))
(/ -751220861604756070699018739433/10000000000000000000000000000000 z)
(/ (* 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 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)
(+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)
(/ 1 (/ 1 (+ (* y (/ (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))) x)))
(/ 1 (+ (* y (/ (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))) x))
(+ (* y (/ (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))) x)
(/ (+ (* z (+ (* z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))
Outputs
(+.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x)
(+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)))
(-.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)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)))) (/.f64 (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)) (-.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)))))
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) y x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)) (*.f64 y (*.f64 #s(literal 692910599291889/10000000000000000 binary64) x)))) (fma.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 y #s(literal 692910599291889/10000000000000000 binary64))) (-.f64 (*.f64 x x) (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 x (-.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))) (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y))))
(/.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 x x (-.f64 (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)) (*.f64 y (*.f64 #s(literal 692910599291889/10000000000000000 binary64) x)))))
(/.f64 (-.f64 (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)) (*.f64 x x)) (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))) (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)) (*.f64 y (*.f64 #s(literal 692910599291889/10000000000000000 binary64) x))))))
(/.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)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y))) (-.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x)) (*.f64 (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x) (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y)))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))) (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)))) (neg.f64 (-.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x)) (/.f64 (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x)) (*.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))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))) (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)))))
(*.f64 (fma.f64 x (*.f64 x x) (*.f64 #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)) (*.f64 y (*.f64 #s(literal 692910599291889/10000000000000000 binary64) x))))))
(*.f64 (-.f64 (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x)))
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simplify447.0ms (3.9%)

Memory
13.4MiB live, 899.6MiB allocated
Algorithm
1×egg-herbie
Rules
7 940×accelerator-lowering-fma.f32
7 940×accelerator-lowering-fma.f64
6 650×*-lowering-*.f32
6 650×*-lowering-*.f64
3 150×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05566016
117965707
263175613
085914921
Stop Event
1×iter limit
1×node limit
Counts
276 → 276
Calls
Call 1
Inputs
x
(+ x (* 692910599291889/10000000000000000 y))
(+ x (* 692910599291889/10000000000000000 y))
(+ x (* 692910599291889/10000000000000000 y))
(* 692910599291889/10000000000000000 y)
(* y (+ 692910599291889/10000000000000000 (/ x y)))
(* y (+ 692910599291889/10000000000000000 (/ x y)))
(* y (+ 692910599291889/10000000000000000 (/ x y)))
(* 692910599291889/10000000000000000 y)
(* -1 (* y (- (* -1 (/ x y)) 692910599291889/10000000000000000)))
(* -1 (* y (- (* -1 (/ x y)) 692910599291889/10000000000000000)))
(* -1 (* y (- (* -1 (/ x y)) 692910599291889/10000000000000000)))
(* 692910599291889/10000000000000000 y)
(+ x (* 692910599291889/10000000000000000 y))
(+ x (* 692910599291889/10000000000000000 y))
(+ x (* 692910599291889/10000000000000000 y))
x
(* x (+ 1 (* 692910599291889/10000000000000000 (/ y x))))
(* x (+ 1 (* 692910599291889/10000000000000000 (/ y x))))
(* x (+ 1 (* 692910599291889/10000000000000000 (/ y x))))
x
(* -1 (* x (- (* -692910599291889/10000000000000000 (/ y x)) 1)))
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x
(+ x (* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))))
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(* x (+ 1 (/ (* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))) x)))
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x
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(* 692910599291889/10000000000000000 y)
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(/ 1 x)
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(/ 1 x)
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x
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x
(* x (+ 1 (/ (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))) (* x (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))))
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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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(* -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)))
279195317918525/3350343815022304
(+ 279195317918525/3350343815022304 (* -155900051080628738716045985239/56124018394291031809500087342080 z))
(+ 279195317918525/3350343815022304 (* z (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080)))
(+ 279195317918525/3350343815022304 (* z (- (* z (+ 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z))) 155900051080628738716045985239/56124018394291031809500087342080)))
692910599291889/10000000000000000
(+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))
(- (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))) (/ 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (pow z 2)))
(- (+ 692910599291889/10000000000000000 (+ (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)) (* 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/ 1 (pow z 3))))) (/ 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (pow z 2)))
692910599291889/10000000000000000
(+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))
(+ 692910599291889/10000000000000000 (* -1 (/ (- (* 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/ 1 z)) 751220861604756070699018739433/10000000000000000000000000000000) z)))
(+ 692910599291889/10000000000000000 (* -1 (/ (- (* -1 (/ (- (* 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/ 1 z)) 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000) z)) 751220861604756070699018739433/10000000000000000000000000000000) z)))
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#s(literal 279195317918525/3350343815022304 binary64)
(+ 279195317918525/3350343815022304 (* -155900051080628738716045985239/56124018394291031809500087342080 z))
(fma.f64 z #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) #s(literal 279195317918525/3350343815022304 binary64))
(+ 279195317918525/3350343815022304 (* z (- (* 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 z) 155900051080628738716045985239/56124018394291031809500087342080)))
(fma.f64 z (fma.f64 z #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64) #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64)) #s(literal 279195317918525/3350343815022304 binary64))
(+ 279195317918525/3350343815022304 (* z (- (* z (+ 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (* -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 z))) 155900051080628738716045985239/56124018394291031809500087342080)))
(fma.f64 z (fma.f64 z (fma.f64 z #s(literal -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 binary64) #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)) #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64)) #s(literal 279195317918525/3350343815022304 binary64))
692910599291889/10000000000000000
#s(literal 692910599291889/10000000000000000 binary64)
(+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))
(+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z))
(- (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))) (/ 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (pow z 2)))
(+.f64 #s(literal 692910599291889/10000000000000000 binary64) (+.f64 (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z) (/.f64 #s(literal -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 binary64) (*.f64 z z))))
(- (+ 692910599291889/10000000000000000 (+ (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)) (* 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/ 1 (pow z 3))))) (/ 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (pow z 2)))
(+.f64 (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 binary64) z) #s(literal -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 binary64)) z) z))
692910599291889/10000000000000000
#s(literal 692910599291889/10000000000000000 binary64)
(+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))
(+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z))
(+ 692910599291889/10000000000000000 (* -1 (/ (- (* 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/ 1 z)) 751220861604756070699018739433/10000000000000000000000000000000) z)))
(-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 (+.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) (/.f64 #s(literal 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 binary64) z)) z))
(+ 692910599291889/10000000000000000 (* -1 (/ (- (* -1 (/ (- (* 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/ 1 z)) 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000) z)) 751220861604756070699018739433/10000000000000000000000000000000) z)))
(-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 (-.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) (/.f64 (+.f64 (/.f64 #s(literal 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 binary64) z) #s(literal -4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 binary64)) z)) z))

eval181.0ms (1.6%)

Memory
4.2MiB live, 351.0MiB allocated
Compiler

Compiled 37 233 to 2 709 computations (92.7% saved)

prune146.0ms (1.3%)

Memory
-9.7MiB live, 434.3MiB allocated
Pruning

23 alts after pruning (21 fresh and 2 done)

PrunedKeptTotal
New1 026171 043
Fresh6410
Picked325
Done000
Total1 035231 058
Accuracy
100.0%
Counts
1 058 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.3%
(fma.f64 (*.f64 (-.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (/.f64 #s(literal 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 z z))) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z))) x)
58.7%
(fma.f64 (*.f64 (-.f64 #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) (/.f64 #s(literal -423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 z (*.f64 z z)))) y) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z) (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64))) x)
61.8%
(fma.f64 y (fma.f64 z #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) #s(literal 279195317918525/3350343815022304 binary64)) x)
▶62.5%
(fma.f64 y (/.f64 (-.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (/.f64 #s(literal 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 z z))) (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z))) x)
57.5%
(fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) (fma.f64 z (fma.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) (*.f64 z (*.f64 y #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))) x))
76.4%
(fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) x)
✓82.6%
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)
▶76.2%
(fma.f64 x (/.f64 (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) x) x)
44.8%
(/.f64 (fma.f64 y #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) (*.f64 (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) y x) z)) z)
41.1%
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y))) (-.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))))
26.2%
(/.f64 (*.f64 y (/.f64 (fma.f64 z (*.f64 (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) (*.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)))) #s(literal -124720040876201995101661081/1600000000000000000000000000 binary64)) (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal -11167812716741/40000000000000 binary64)))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
8.6%
(/.f64 (*.f64 y (*.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
▶8.6%
(/.f64 (*.f64 y (*.f64 #s(literal 692910599291889/10000000000000000 binary64) (*.f64 z z))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
23.3%
(/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
29.2%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)) (*.f64 y (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)))))
▶82.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)))
41.0%
(+.f64 x (/.f64 (*.f64 z (fma.f64 z (*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z z)))) (*.f64 y #s(literal 307332350656623/625000000000000 binary64)))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))
35.7%
(*.f64 (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (/.f64 y (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))))
30.3%
(*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)))
28.8%
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
▶34.0%
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
76.2%
(neg.f64 (*.f64 x (fma.f64 (/.f64 y x) #s(literal -692910599291889/10000000000000000 binary64) #s(literal -1 binary64))))
✓50.7%
x
Compiler

Compiled 693 to 486 computations (29.9% saved)

simplify224.0ms (2%)

Memory
-1.2MiB live, 402.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 z z))
✓cost-diff0
(-.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (/.f64 #s(literal 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 z z)))
✓cost-diff0
(/.f64 (-.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (/.f64 #s(literal 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 z z))) (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)))
✓cost-diff0
(fma.f64 y (/.f64 (-.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (/.f64 #s(literal 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 z z))) (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z))) x)
✓cost-diff0
(*.f64 z z)
✓cost-diff0
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) (*.f64 z z))
✓cost-diff0
(*.f64 y (*.f64 #s(literal 692910599291889/10000000000000000 binary64) (*.f64 z z)))
✓cost-diff0
(/.f64 (*.f64 y (*.f64 #s(literal 692910599291889/10000000000000000 binary64) (*.f64 z z))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
✓cost-diff0
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
✓cost-diff0
(/.f64 (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) x)
✓cost-diff1024
(fma.f64 x (/.f64 (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) x) x)
✓cost-diff0
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
✓cost-diff0
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)))
Rules
4 002×*-lowering-*.f32
4 002×*-lowering-*.f64
3 934×accelerator-lowering-fma.f32
3 934×accelerator-lowering-fma.f64
1 598×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032147
172147
2165147
3330147
4684147
52072147
64112147
76175147
08115140
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ 1 (/ 1 (+ (* y 692910599291889/10000000000000000) x)))
1
(/ 1 (+ (* y 692910599291889/10000000000000000) x))
(+ (* y 692910599291889/10000000000000000) x)
y
692910599291889/10000000000000000
x
(* 692910599291889/10000000000000000 y)
692910599291889/10000000000000000
y
(+ (* x (/ (* 692910599291889/10000000000000000 y) x)) x)
x
(/ (* 692910599291889/10000000000000000 y) x)
(* 692910599291889/10000000000000000 y)
692910599291889/10000000000000000
y
(/ (* y (* 692910599291889/10000000000000000 (* z z))) (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))
(* y (* 692910599291889/10000000000000000 (* z z)))
y
(* 692910599291889/10000000000000000 (* z z))
692910599291889/10000000000000000
(* z z)
z
(+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)
(+ z 6012459259764103/1000000000000000)
6012459259764103/1000000000000000
104698244219447/31250000000000
(+ (* y (/ (- 480125098611044764748221188321/100000000000000000000000000000000 (/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (* z z))) (- 692910599291889/10000000000000000 (/ 751220861604756070699018739433/10000000000000000000000000000000 z)))) x)
y
(/ (- 480125098611044764748221188321/100000000000000000000000000000000 (/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (* z z))) (- 692910599291889/10000000000000000 (/ 751220861604756070699018739433/10000000000000000000000000000000 z)))
(- 480125098611044764748221188321/100000000000000000000000000000000 (/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (* z z)))
480125098611044764748221188321/100000000000000000000000000000000
(/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (* z z))
564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000
(* z z)
z
(- 692910599291889/10000000000000000 (/ 751220861604756070699018739433/10000000000000000000000000000000 z))
692910599291889/10000000000000000
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
751220861604756070699018739433/10000000000000000000000000000000
x
Outputs
(/ 1 (/ 1 (+ (* y 692910599291889/10000000000000000) x)))
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)
1
#s(literal 1 binary64)
(/ 1 (+ (* y 692910599291889/10000000000000000) x))
(/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x))
(+ (* y 692910599291889/10000000000000000) x)
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)
y
692910599291889/10000000000000000
#s(literal 692910599291889/10000000000000000 binary64)
x
(* 692910599291889/10000000000000000 y)
(*.f64 y #s(literal 692910599291889/10000000000000000 binary64))
692910599291889/10000000000000000
#s(literal 692910599291889/10000000000000000 binary64)
y
(+ (* x (/ (* 692910599291889/10000000000000000 y) x)) x)
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)
x
(/ (* 692910599291889/10000000000000000 y) x)
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 y x))
(* 692910599291889/10000000000000000 y)
(*.f64 y #s(literal 692910599291889/10000000000000000 binary64))
692910599291889/10000000000000000
#s(literal 692910599291889/10000000000000000 binary64)
y
(/ (* y (* 692910599291889/10000000000000000 (* z z))) (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))
(/.f64 (*.f64 y (*.f64 #s(literal 692910599291889/10000000000000000 binary64) (*.f64 z z))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
(* y (* 692910599291889/10000000000000000 (* z z)))
(*.f64 y (*.f64 #s(literal 692910599291889/10000000000000000 binary64) (*.f64 z z)))
y
(* 692910599291889/10000000000000000 (* z z))
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) (*.f64 z z))
692910599291889/10000000000000000
#s(literal 692910599291889/10000000000000000 binary64)
(* z z)
(*.f64 z z)
z
(+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)
(fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 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)
(+ (* y (/ (- 480125098611044764748221188321/100000000000000000000000000000000 (/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (* z z))) (- 692910599291889/10000000000000000 (/ 751220861604756070699018739433/10000000000000000000000000000000 z)))) x)
(fma.f64 y (/.f64 (-.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (/.f64 #s(literal 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 z z))) (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z))) x)
y
(/ (- 480125098611044764748221188321/100000000000000000000000000000000 (/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (* z z))) (- 692910599291889/10000000000000000 (/ 751220861604756070699018739433/10000000000000000000000000000000 z)))
(/.f64 (-.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (/.f64 #s(literal 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 z z))) (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z)))
(- 480125098611044764748221188321/100000000000000000000000000000000 (/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (* z z)))
(-.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (/.f64 #s(literal 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 z z)))
480125098611044764748221188321/100000000000000000000000000000000
#s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64)
(/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (* z z))
(/.f64 #s(literal 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 z z))
564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000
#s(literal 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 binary64)
(* z z)
(*.f64 z z)
z
(- 692910599291889/10000000000000000 (/ 751220861604756070699018739433/10000000000000000000000000000000 z))
(+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z))
692910599291889/10000000000000000
#s(literal 692910599291889/10000000000000000 binary64)
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
(/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)
751220861604756070699018739433/10000000000000000000000000000000
#s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64)
x

localize121.0ms (1.1%)

Memory
21.7MiB live, 261.0MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)
✓accuracy99.7%
(fma.f64 y (/.f64 (-.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (/.f64 #s(literal 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 z z))) (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z))) x)
✓accuracy99.2%
(/.f64 #s(literal 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 z z))
✓accuracy78.7%
(/.f64 (-.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (/.f64 #s(literal 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 z z))) (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)))
✓accuracy100.0%
(+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))
✓accuracy99.6%
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) (*.f64 z z))
✓accuracy93.6%
(*.f64 y (*.f64 #s(literal 692910599291889/10000000000000000 binary64) (*.f64 z z)))
✓accuracy67.9%
(/.f64 (*.f64 y (*.f64 #s(literal 692910599291889/10000000000000000 binary64) (*.f64 z z))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
✓accuracy99.6%
(/.f64 (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) x)
✓accuracy99.3%
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
✓accuracy88.9%
(fma.f64 x (/.f64 (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) x) x)
✓accuracy99.3%
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
✓accuracy99.8%
(/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x))
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)))
✓accuracy99.6%
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)
Samples
79.0ms256×0valid
Compiler

Compiled 150 to 34 computations (77.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
const: 23.0ms (39.2% of total)
ival-div: 14.0ms (23.9% of total)
ival-mult: 13.0ms (22.1% of total)
ival-add: 6.0ms (10.2% of total)
ival-sub: 2.0ms (3.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series121.0ms (1.1%)

Memory
-10.0MiB live, 67.0MiB allocated
Counts
16 → 300
Calls
Call 1
Inputs
#<alt (/ 1 (/ 1 (+ (* y 692910599291889/10000000000000000) x)))>
#<alt (/ 1 (+ (* y 692910599291889/10000000000000000) x))>
#<alt (+ (* y 692910599291889/10000000000000000) x)>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (+ (* x (/ (* 692910599291889/10000000000000000 y) x)) x)>
#<alt (/ (* 692910599291889/10000000000000000 y) x)>
#<alt (/ (* y (* 692910599291889/10000000000000000 (* z z))) (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))>
#<alt (* y (* 692910599291889/10000000000000000 (* z z)))>
#<alt (* 692910599291889/10000000000000000 (* z z))>
#<alt (* z z)>
#<alt (+ (* y (/ (- 480125098611044764748221188321/100000000000000000000000000000000 (/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (* z z))) (- 692910599291889/10000000000000000 (/ 751220861604756070699018739433/10000000000000000000000000000000 z)))) x)>
#<alt (/ (- 480125098611044764748221188321/100000000000000000000000000000000 (/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (* z z))) (- 692910599291889/10000000000000000 (/ 751220861604756070699018739433/10000000000000000000000000000000 z)))>
#<alt (- 480125098611044764748221188321/100000000000000000000000000000000 (/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (* z z)))>
#<alt (/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (* z z))>
#<alt (+ z 6012459259764103/1000000000000000)>
#<alt (/ 751220861604756070699018739433/10000000000000000000000000000000 z)>
Outputs
#<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 (+ 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 (/ 1 x)>
#<alt (+ (* -692910599291889/10000000000000000 (/ y (pow x 2))) (/ 1 x))>
#<alt (+ (* y (- (* 480125098611044764748221188321/100000000000000000000000000000000 (/ y (pow x 3))) (* 692910599291889/10000000000000000 (/ 1 (pow x 2))))) (/ 1 x))>
#<alt (+ (* y (- (* y (+ (* -332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/ y (pow x 4))) (* 480125098611044764748221188321/100000000000000000000000000000000 (/ 1 (pow x 3))))) (* 692910599291889/10000000000000000 (/ 1 (pow x 2))))) (/ 1 x))>
#<alt (/ 10000000000000000/692910599291889 y)>
#<alt (/ (+ 10000000000000000/692910599291889 (* -100000000000000000000000000000000/480125098611044764748221188321 (/ x y))) y)>
#<alt (/ (- (+ 10000000000000000/692910599291889 (* 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (/ (pow x 2) (pow y 2)))) (* 100000000000000000000000000000000/480125098611044764748221188321 (/ x y))) y)>
#<alt (/ (- (+ 10000000000000000/692910599291889 (* -10000000000000000000000000000000000000000000000000000000000000000/230520110316265459487628991262802136350644949140489346799041 (/ (pow x 3) (pow y 3)))) (+ (* -1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (/ (pow x 2) (pow y 2))) (* 100000000000000000000000000000000/480125098611044764748221188321 (/ x y)))) y)>
#<alt (/ 10000000000000000/692910599291889 y)>
#<alt (* -1 (/ (- (* 100000000000000000000000000000000/480125098611044764748221188321 (/ x y)) 10000000000000000/692910599291889) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (/ (pow x 2) y)) (* 100000000000000000000000000000000/480125098611044764748221188321 x)) y)) 10000000000000000/692910599291889) y))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 10000000000000000000000000000000000000000000000000000000000000000/230520110316265459487628991262802136350644949140489346799041 (/ (pow x 3) y)) (* 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (pow x 2))) y)) (* 100000000000000000000000000000000/480125098611044764748221188321 x)) y)) 10000000000000000/692910599291889) y))>
#<alt (/ 10000000000000000/692910599291889 y)>
#<alt (+ (* -100000000000000000000000000000000/480125098611044764748221188321 (/ x (pow y 2))) (* 10000000000000000/692910599291889 (/ 1 y)))>
#<alt (+ (* x (- (* 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (/ x (pow y 3))) (* 100000000000000000000000000000000/480125098611044764748221188321 (/ 1 (pow y 2))))) (* 10000000000000000/692910599291889 (/ 1 y)))>
#<alt (+ (* x (- (* x (+ (* -10000000000000000000000000000000000000000000000000000000000000000/230520110316265459487628991262802136350644949140489346799041 (/ x (pow y 4))) (* 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (/ 1 (pow y 3))))) (* 100000000000000000000000000000000/480125098611044764748221188321 (/ 1 (pow y 2))))) (* 10000000000000000/692910599291889 (/ 1 y)))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -692910599291889/10000000000000000 (/ y x))) x)>
#<alt (/ (- (+ 1 (* 480125098611044764748221188321/100000000000000000000000000000000 (/ (pow y 2) (pow x 2)))) (* 692910599291889/10000000000000000 (/ y x))) x)>
#<alt (/ (- (+ 1 (* -332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/ (pow y 3) (pow x 3)))) (+ (* -480125098611044764748221188321/100000000000000000000000000000000 (/ (pow y 2) (pow x 2))) (* 692910599291889/10000000000000000 (/ y x)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (* 692910599291889/10000000000000000 (/ y x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* 480125098611044764748221188321/100000000000000000000000000000000 (/ (pow y 2) x)) (* 692910599291889/10000000000000000 y)) x)) 1) x))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/ (pow y 3) x)) (* 480125098611044764748221188321/100000000000000000000000000000000 (pow y 2))) x)) (* 692910599291889/10000000000000000 y)) x)) 1) x))>
#<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 (+ 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 (* 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 (* 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 x))>
#<alt (* 692910599291889/10000000000000000 (/ y x))>
#<alt (* 692910599291889/10000000000000000 (/ y x))>
#<alt (* 692910599291889/10000000000000000 (/ y x))>
#<alt (* 692910599291889/10000000000000000 (/ y x))>
#<alt (* 692910599291889/10000000000000000 (/ y x))>
#<alt (* 692910599291889/10000000000000000 (/ y x))>
#<alt (* 692910599291889/10000000000000000 (/ y x))>
#<alt (* 692910599291889/10000000000000000 (/ y x))>
#<alt (* 692910599291889/10000000000000000 (/ y x))>
#<alt (* 692910599291889/10000000000000000 (/ y x))>
#<alt (* 692910599291889/10000000000000000 (/ y x))>
#<alt (* 692910599291889/10000000000000000 (/ y x))>
#<alt (* 692910599291889/10000000000000000 (/ y x))>
#<alt (* 692910599291889/10000000000000000 (/ y x))>
#<alt (* 692910599291889/10000000000000000 (/ y x))>
#<alt (* 692910599291889/10000000000000000 (/ y x))>
#<alt (* 692910599291889/10000000000000000 (/ y x))>
#<alt (* 692910599291889/10000000000000000 (/ y x))>
#<alt (* 692910599291889/10000000000000000 (/ y x))>
#<alt (* 692910599291889/10000000000000000 (/ y x))>
#<alt (* 692910599291889/10000000000000000 (/ y x))>
#<alt (* 692910599291889/10000000000000000 (/ y x))>
#<alt (* 692910599291889/10000000000000000 (/ y x))>
#<alt (* 692910599291889/10000000000000000 (/ (* y (pow z 2)) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))>
#<alt (* 692910599291889/10000000000000000 (/ (* y (pow z 2)) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))>
#<alt (* 692910599291889/10000000000000000 (/ (* y (pow z 2)) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))>
#<alt (* 692910599291889/10000000000000000 (/ (* y (pow z 2)) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))>
#<alt (* 692910599291889/10000000000000000 (/ (* y (pow z 2)) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))>
#<alt (* 692910599291889/10000000000000000 (/ (* y (pow z 2)) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))>
#<alt (* 692910599291889/10000000000000000 (/ (* y (pow z 2)) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))>
#<alt (* 692910599291889/10000000000000000 (/ (* y (pow z 2)) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))>
#<alt (* 692910599291889/10000000000000000 (/ (* y (pow z 2)) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))>
#<alt (* 692910599291889/10000000000000000 (/ (* y (pow z 2)) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))>
#<alt (* 692910599291889/10000000000000000 (/ (* y (pow z 2)) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))>
#<alt (* 692910599291889/10000000000000000 (/ (* y (pow z 2)) (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))))>
#<alt (* 692910599291889/33503438150223040 (* y (pow z 2)))>
#<alt (* (pow z 2) (+ (* -4166096748901211929300981260567/112248036788582063619000174684160 (* y z)) (* 692910599291889/33503438150223040 y)))>
#<alt (* (pow z 2) (+ (* 692910599291889/33503438150223040 y) (* z (+ (* -692910599291889/10000000000000000 (* z (+ (* -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y) (* 976562500000000000000000000/10961722342634967150292985809 y)))) (* -4166096748901211929300981260567/112248036788582063619000174684160 y)))))>
#<alt (* (pow z 2) (+ (* 692910599291889/33503438150223040 y) (* z (+ (* -4166096748901211929300981260567/112248036788582063619000174684160 y) (* z (+ (* -692910599291889/10000000000000000 (* z (+ (* -6012459259764103/3350343815022304 (+ (* -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y) (* 976562500000000000000000000/10961722342634967150292985809 y))) (* -183485695183230682373046875000000000000000/1147673082894964476557575335949564252827623 y)))) (* -692910599291889/10000000000000000 (+ (* -1103200267038668987913305889728057861328125/1147673082894964476557575335949564252827623 y) (* 976562500000000000000000000/10961722342634967150292985809 y)))))))))>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (+ (* -4166096748901211929300981260567/10000000000000000000000000000000 (/ y z)) (* 692910599291889/10000000000000000 y))>
#<alt (+ (* -4166096748901211929300981260567/10000000000000000000000000000000 (/ y z)) (+ (* -692910599291889/10000000000000000 (/ (+ (* -36149666350323105395943207394609/1000000000000000000000000000000 y) (* 104698244219447/31250000000000 y)) (pow z 2))) (* 692910599291889/10000000000000000 y)))>
#<alt (+ (* -4166096748901211929300981260567/10000000000000000000000000000000 (/ y z)) (+ (* -692910599291889/10000000000000000 (/ (+ (* -36149666350323105395943207394609/1000000000000000000000000000000 y) (* 104698244219447/31250000000000 y)) (pow z 2))) (+ (* -692910599291889/10000000000000000 (/ (+ (* -629493927938257585512585111041/31250000000000000000000000000 y) (* -6012459259764103/1000000000000000 (+ (* -36149666350323105395943207394609/1000000000000000000000000000000 y) (* 104698244219447/31250000000000 y)))) (pow z 3))) (* 692910599291889/10000000000000000 y))))>
#<alt (* 692910599291889/10000000000000000 y)>
#<alt (+ (* -4166096748901211929300981260567/10000000000000000000000000000000 (/ y z)) (* 692910599291889/10000000000000000 y))>
#<alt (+ (* -1 (/ (+ (* 692910599291889/10000000000000000 (/ (+ (* -36149666350323105395943207394609/1000000000000000000000000000000 y) (* 104698244219447/31250000000000 y)) z)) (* 4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (* 692910599291889/10000000000000000 y))>
#<alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -692910599291889/10000000000000000 (+ (* -36149666350323105395943207394609/1000000000000000000000000000000 y) (* 104698244219447/31250000000000 y))) (* 692910599291889/10000000000000000 (/ (+ (* 6012459259764103/1000000000000000 (+ (* -36149666350323105395943207394609/1000000000000000000000000000000 y) (* 104698244219447/31250000000000 y))) (* 629493927938257585512585111041/31250000000000000000000000000 y)) z))) z)) (* 4166096748901211929300981260567/10000000000000000000000000000000 y)) z)) (* 692910599291889/10000000000000000 y))>
#<alt (* 692910599291889/10000000000000000 (* y (pow z 2)))>
#<alt (* 692910599291889/10000000000000000 (* y (pow z 2)))>
#<alt (* 692910599291889/10000000000000000 (* y (pow z 2)))>
#<alt (* 692910599291889/10000000000000000 (* y (pow z 2)))>
#<alt (* 692910599291889/10000000000000000 (* y (pow z 2)))>
#<alt (* 692910599291889/10000000000000000 (* y (pow z 2)))>
#<alt (* 692910599291889/10000000000000000 (* y (pow z 2)))>
#<alt (* 692910599291889/10000000000000000 (* y (pow z 2)))>
#<alt (* 692910599291889/10000000000000000 (* y (pow z 2)))>
#<alt (* 692910599291889/10000000000000000 (* y (pow z 2)))>
#<alt (* 692910599291889/10000000000000000 (* y (pow z 2)))>
#<alt (* 692910599291889/10000000000000000 (* y (pow z 2)))>
#<alt (* 692910599291889/10000000000000000 (* y (pow z 2)))>
#<alt (* 692910599291889/10000000000000000 (* y (pow z 2)))>
#<alt (* 692910599291889/10000000000000000 (* y (pow z 2)))>
#<alt (* 692910599291889/10000000000000000 (* y (pow z 2)))>
#<alt (* 692910599291889/10000000000000000 (* y (pow z 2)))>
#<alt (* 692910599291889/10000000000000000 (* y (pow z 2)))>
#<alt (* 692910599291889/10000000000000000 (* y (pow z 2)))>
#<alt (* 692910599291889/10000000000000000 (* y (pow z 2)))>
#<alt (* 692910599291889/10000000000000000 (* y (pow z 2)))>
#<alt (* 692910599291889/10000000000000000 (* y (pow z 2)))>
#<alt (* 692910599291889/10000000000000000 (* y (pow z 2)))>
#<alt (* 692910599291889/10000000000000000 (* y (pow z 2)))>
#<alt (* 692910599291889/10000000000000000 (pow z 2))>
#<alt (* 692910599291889/10000000000000000 (pow z 2))>
#<alt (* 692910599291889/10000000000000000 (pow z 2))>
#<alt (* 692910599291889/10000000000000000 (pow z 2))>
#<alt (* 692910599291889/10000000000000000 (pow z 2))>
#<alt (* 692910599291889/10000000000000000 (pow z 2))>
#<alt (* 692910599291889/10000000000000000 (pow z 2))>
#<alt (* 692910599291889/10000000000000000 (pow z 2))>
#<alt (* 692910599291889/10000000000000000 (pow z 2))>
#<alt (* 692910599291889/10000000000000000 (pow z 2))>
#<alt (* 692910599291889/10000000000000000 (pow z 2))>
#<alt (* 692910599291889/10000000000000000 (pow z 2))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt x>
#<alt (+ x (* y (- (* 480125098611044764748221188321/100000000000000000000000000000000 (/ 1 (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))) (* 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (/ 1 (* (pow z 2) (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))))))))>
#<alt (+ x (* y (- (* 480125098611044764748221188321/100000000000000000000000000000000 (/ 1 (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))) (* 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (/ 1 (* (pow z 2) (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))))))))>
#<alt (+ x (* y (- (* 480125098611044764748221188321/100000000000000000000000000000000 (/ 1 (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))) (* 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (/ 1 (* (pow z 2) (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))))))))>
#<alt (* y (- (* 480125098611044764748221188321/100000000000000000000000000000000 (/ 1 (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))) (* 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (/ 1 (* (pow z 2) (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))))))>
#<alt (* y (- (+ (* 480125098611044764748221188321/100000000000000000000000000000000 (/ 1 (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))) (/ x y)) (* 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (/ 1 (* (pow z 2) (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))))))>
#<alt (* y (- (+ (* 480125098611044764748221188321/100000000000000000000000000000000 (/ 1 (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))) (/ x y)) (* 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (/ 1 (* (pow z 2) (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))))))>
#<alt (* y (- (+ (* 480125098611044764748221188321/100000000000000000000000000000000 (/ 1 (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))) (/ x y)) (* 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (/ 1 (* (pow z 2) (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))))))>
#<alt (/ (* y (- 480125098611044764748221188321/100000000000000000000000000000000 (* 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (/ 1 (pow z 2))))) (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- 480125098611044764748221188321/100000000000000000000000000000000 (* 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (/ 1 (pow z 2)))) (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- 480125098611044764748221188321/100000000000000000000000000000000 (* 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (/ 1 (pow z 2)))) (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))))))>
#<alt (* -1 (* y (+ (* -1 (/ x y)) (* -1 (/ (- 480125098611044764748221188321/100000000000000000000000000000000 (* 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (/ 1 (pow z 2)))) (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))))))>
#<alt (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))>
#<alt (/ (+ (* 751220861604756070699018739433/10000000000000000000000000000000 y) (* z (- x (* -692910599291889/10000000000000000 y)))) z)>
#<alt (/ (+ (* 751220861604756070699018739433/10000000000000000000000000000000 y) (* z (- x (* -692910599291889/10000000000000000 y)))) z)>
#<alt (/ (+ (* 751220861604756070699018739433/10000000000000000000000000000000 y) (* z (- x (* -692910599291889/10000000000000000 y)))) z)>
#<alt (+ x (* 692910599291889/10000000000000000 y))>
#<alt (+ x (+ (* 692910599291889/10000000000000000 y) (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))))>
#<alt (+ x (+ (* 692910599291889/10000000000000000 y) (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))))>
#<alt (+ x (+ (* 692910599291889/10000000000000000 y) (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))))>
#<alt (+ x (* 692910599291889/10000000000000000 y))>
#<alt (+ x (+ (* 692910599291889/10000000000000000 y) (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))))>
#<alt (+ x (+ (* 692910599291889/10000000000000000 y) (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))))>
#<alt (+ x (+ (* 692910599291889/10000000000000000 y) (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))))>
#<alt (/ (* y (- 480125098611044764748221188321/100000000000000000000000000000000 (* 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (/ 1 (pow z 2))))) (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))>
#<alt (+ x (/ (* y (- 480125098611044764748221188321/100000000000000000000000000000000 (* 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (/ 1 (pow z 2))))) (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))))>
#<alt (+ x (/ (* y (- 480125098611044764748221188321/100000000000000000000000000000000 (* 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (/ 1 (pow z 2))))) (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))))>
#<alt (+ x (/ (* y (- 480125098611044764748221188321/100000000000000000000000000000000 (* 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (/ 1 (pow z 2))))) (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))))>
#<alt x>
#<alt (* x (+ 1 (/ (* y (- 480125098611044764748221188321/100000000000000000000000000000000 (* 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (/ 1 (pow z 2))))) (* x (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))))))>
#<alt (* x (+ 1 (/ (* y (- 480125098611044764748221188321/100000000000000000000000000000000 (* 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (/ 1 (pow z 2))))) (* x (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))))))>
#<alt (* x (+ 1 (/ (* y (- 480125098611044764748221188321/100000000000000000000000000000000 (* 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (/ 1 (pow z 2))))) (* x (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))))))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ (* y (- 480125098611044764748221188321/100000000000000000000000000000000 (* 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (/ 1 (pow z 2))))) (* x (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- 480125098611044764748221188321/100000000000000000000000000000000 (* 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (/ 1 (pow z 2))))) (* x (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))))) 1)))>
#<alt (* -1 (* x (- (* -1 (/ (* y (- 480125098611044764748221188321/100000000000000000000000000000000 (* 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (/ 1 (pow z 2))))) (* x (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))))) 1)))>
#<alt (/ 751220861604756070699018739433/10000000000000000000000000000000 z)>
#<alt (/ (+ 751220861604756070699018739433/10000000000000000000000000000000 (* 692910599291889/10000000000000000 z)) z)>
#<alt (/ (+ 751220861604756070699018739433/10000000000000000000000000000000 (* 692910599291889/10000000000000000 z)) z)>
#<alt (/ (+ 751220861604756070699018739433/10000000000000000000000000000000 (* 692910599291889/10000000000000000 z)) z)>
#<alt 692910599291889/10000000000000000>
#<alt (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))>
#<alt (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))>
#<alt (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))>
#<alt 692910599291889/10000000000000000>
#<alt (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))>
#<alt (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))>
#<alt (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))>
#<alt (/ -564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (pow z 2))>
#<alt (/ (- (* 480125098611044764748221188321/100000000000000000000000000000000 (pow z 2)) 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000) (pow z 2))>
#<alt (/ (- (* 480125098611044764748221188321/100000000000000000000000000000000 (pow z 2)) 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000) (pow z 2))>
#<alt (/ (- (* 480125098611044764748221188321/100000000000000000000000000000000 (pow z 2)) 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000) (pow z 2))>
#<alt 480125098611044764748221188321/100000000000000000000000000000000>
#<alt (- 480125098611044764748221188321/100000000000000000000000000000000 (* 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (/ 1 (pow z 2))))>
#<alt (- 480125098611044764748221188321/100000000000000000000000000000000 (* 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (/ 1 (pow z 2))))>
#<alt (- 480125098611044764748221188321/100000000000000000000000000000000 (* 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (/ 1 (pow z 2))))>
#<alt 480125098611044764748221188321/100000000000000000000000000000000>
#<alt (- 480125098611044764748221188321/100000000000000000000000000000000 (* 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (/ 1 (pow z 2))))>
#<alt (- 480125098611044764748221188321/100000000000000000000000000000000 (* 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (/ 1 (pow z 2))))>
#<alt (- 480125098611044764748221188321/100000000000000000000000000000000 (* 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (/ 1 (pow z 2))))>
#<alt (/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (pow z 2))>
#<alt (/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (pow z 2))>
#<alt (/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (pow z 2))>
#<alt (/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (pow z 2))>
#<alt (/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (pow z 2))>
#<alt (/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (pow z 2))>
#<alt (/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (pow z 2))>
#<alt (/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (pow z 2))>
#<alt (/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (pow z 2))>
#<alt (/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (pow z 2))>
#<alt (/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (pow z 2))>
#<alt (/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (pow z 2))>
#<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 (/ 751220861604756070699018739433/10000000000000000000000000000000 z)>
#<alt (/ 751220861604756070699018739433/10000000000000000000000000000000 z)>
#<alt (/ 751220861604756070699018739433/10000000000000000000000000000000 z)>
#<alt (/ 751220861604756070699018739433/10000000000000000000000000000000 z)>
#<alt (/ 751220861604756070699018739433/10000000000000000000000000000000 z)>
#<alt (/ 751220861604756070699018739433/10000000000000000000000000000000 z)>
#<alt (/ 751220861604756070699018739433/10000000000000000000000000000000 z)>
#<alt (/ 751220861604756070699018739433/10000000000000000000000000000000 z)>
#<alt (/ 751220861604756070699018739433/10000000000000000000000000000000 z)>
#<alt (/ 751220861604756070699018739433/10000000000000000000000000000000 z)>
#<alt (/ 751220861604756070699018739433/10000000000000000000000000000000 z)>
#<alt (/ 751220861604756070699018739433/10000000000000000000000000000000 z)>
Calls

75 calls:

TimeVariablePointExpression
69.0ms
y
@inf
(/ 1 (+ (* y 692910599291889/10000000000000000) x))
23.0ms
x
@0
(+ (* y (/ (- 480125098611044764748221188321/100000000000000000000000000000000 (/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (* z z))) (- 692910599291889/10000000000000000 (/ 751220861604756070699018739433/10000000000000000000000000000000 z)))) x)
6.0ms
z
@inf
(/ (- 480125098611044764748221188321/100000000000000000000000000000000 (/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (* z z))) (- 692910599291889/10000000000000000 (/ 751220861604756070699018739433/10000000000000000000000000000000 z)))
2.0ms
y
@inf
(+ (* y (/ (- 480125098611044764748221188321/100000000000000000000000000000000 (/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (* z z))) (- 692910599291889/10000000000000000 (/ 751220861604756070699018739433/10000000000000000000000000000000 z)))) x)
1.0ms
y
@0
(+ (* y (/ (- 480125098611044764748221188321/100000000000000000000000000000000 (/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (* z z))) (- 692910599291889/10000000000000000 (/ 751220861604756070699018739433/10000000000000000000000000000000 z)))) x)

rewrite483.0ms (4.2%)

Memory
18.9MiB live, 530.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 964×/-lowering-/.f32
4 964×/-lowering-/.f64
4 584×*-lowering-*.f32
4 584×*-lowering-*.f64
3 318×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032112
121496
2170194
0839087
Stop Event
1×iter limit
1×node limit
Counts
16 → 600
Calls
Call 1
Inputs
(/ 1 (/ 1 (+ (* y 692910599291889/10000000000000000) x)))
(/ 1 (+ (* y 692910599291889/10000000000000000) x))
(+ (* y 692910599291889/10000000000000000) x)
(* 692910599291889/10000000000000000 y)
(+ (* x (/ (* 692910599291889/10000000000000000 y) x)) x)
(/ (* 692910599291889/10000000000000000 y) x)
(/ (* y (* 692910599291889/10000000000000000 (* z z))) (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))
(* y (* 692910599291889/10000000000000000 (* z z)))
(* 692910599291889/10000000000000000 (* z z))
(* z z)
(+ (* y (/ (- 480125098611044764748221188321/100000000000000000000000000000000 (/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (* z z))) (- 692910599291889/10000000000000000 (/ 751220861604756070699018739433/10000000000000000000000000000000 z)))) x)
(/ (- 480125098611044764748221188321/100000000000000000000000000000000 (/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (* z z))) (- 692910599291889/10000000000000000 (/ 751220861604756070699018739433/10000000000000000000000000000000 z)))
(- 480125098611044764748221188321/100000000000000000000000000000000 (/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (* z z)))
(/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (* z z))
(+ z 6012459259764103/1000000000000000)
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
Outputs
(+.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x)
(+.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)))
(+.f64 (*.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))) (*.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x) #s(literal -1 binary64)))
(-.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)))
(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)) (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x))) (/.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)))) (/.f64 (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y)) (-.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) (*.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))))
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) y x)
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) (*.f64 (/.f64 y x) x) (*.f64 x #s(literal 1 binary64)))
(fma.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) #s(literal 1 binary64)))
(fma.f64 x (/.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x) (*.f64 x #s(literal 1 binary64)))
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(*.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 binary64) z))
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(*.f64 (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z))
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(+.f64 #s(literal 6012459259764103/1000000000000000 binary64) z)
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(-.f64 (/.f64 #s(literal 36149666350323105395943207394609/1000000000000000000000000000000 binary64) (-.f64 #s(literal 6012459259764103/1000000000000000 binary64) z)) (/.f64 (*.f64 z z) (-.f64 #s(literal 6012459259764103/1000000000000000 binary64) z)))
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(/.f64 (neg.f64 (fma.f64 z z #s(literal -36149666350323105395943207394609/1000000000000000000000000000000 binary64))) (neg.f64 (+.f64 z #s(literal -6012459259764103/1000000000000000 binary64))))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 z z #s(literal -36149666350323105395943207394609/1000000000000000000000000000000 binary64)))) (neg.f64 (neg.f64 (+.f64 z #s(literal -6012459259764103/1000000000000000 binary64)))))
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(neg.f64 (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z #s(literal 10000000000000000000000000000000/751220861604756070699018739433 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 z #s(literal 10000000000000000000000000000000/751220861604756070699018739433 binary64)))))
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(/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) (neg.f64 (neg.f64 (neg.f64 z))))
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(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z))
(*.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) (/.f64 #s(literal 1 binary64) z))
(*.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 z)))
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64))

simplify597.0ms (5.2%)

Memory
-10.2MiB live, 478.4MiB allocated
Algorithm
1×egg-herbie
Rules
8 258×accelerator-lowering-fma.f32
8 258×accelerator-lowering-fma.f64
4 418×*-lowering-*.f32
4 418×*-lowering-*.f64
3 052×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03112471
18992358
225402271
364442260
080982146
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
Calls
Call 1
Inputs
x
(+ x (* 692910599291889/10000000000000000 y))
(+ x (* 692910599291889/10000000000000000 y))
(+ x (* 692910599291889/10000000000000000 y))
(* 692910599291889/10000000000000000 y)
(* y (+ 692910599291889/10000000000000000 (/ x y)))
(* y (+ 692910599291889/10000000000000000 (/ x y)))
(* y (+ 692910599291889/10000000000000000 (/ x y)))
(* 692910599291889/10000000000000000 y)
(* -1 (* y (- (* -1 (/ x y)) 692910599291889/10000000000000000)))
(* -1 (* y (- (* -1 (/ x y)) 692910599291889/10000000000000000)))
(* -1 (* y (- (* -1 (/ x y)) 692910599291889/10000000000000000)))
(* 692910599291889/10000000000000000 y)
(+ x (* 692910599291889/10000000000000000 y))
(+ x (* 692910599291889/10000000000000000 y))
(+ x (* 692910599291889/10000000000000000 y))
x
(* x (+ 1 (* 692910599291889/10000000000000000 (/ y x))))
(* x (+ 1 (* 692910599291889/10000000000000000 (/ y x))))
(* x (+ 1 (* 692910599291889/10000000000000000 (/ y x))))
x
(* -1 (* x (- (* -692910599291889/10000000000000000 (/ y x)) 1)))
(* -1 (* x (- (* -692910599291889/10000000000000000 (/ y x)) 1)))
(* -1 (* x (- (* -692910599291889/10000000000000000 (/ y x)) 1)))
(/ 1 x)
(+ (* -692910599291889/10000000000000000 (/ y (pow x 2))) (/ 1 x))
(+ (* y (- (* 480125098611044764748221188321/100000000000000000000000000000000 (/ y (pow x 3))) (* 692910599291889/10000000000000000 (/ 1 (pow x 2))))) (/ 1 x))
(+ (* y (- (* y (+ (* -332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/ y (pow x 4))) (* 480125098611044764748221188321/100000000000000000000000000000000 (/ 1 (pow x 3))))) (* 692910599291889/10000000000000000 (/ 1 (pow x 2))))) (/ 1 x))
(/ 10000000000000000/692910599291889 y)
(/ (+ 10000000000000000/692910599291889 (* -100000000000000000000000000000000/480125098611044764748221188321 (/ x y))) y)
(/ (- (+ 10000000000000000/692910599291889 (* 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (/ (pow x 2) (pow y 2)))) (* 100000000000000000000000000000000/480125098611044764748221188321 (/ x y))) y)
(/ (- (+ 10000000000000000/692910599291889 (* -10000000000000000000000000000000000000000000000000000000000000000/230520110316265459487628991262802136350644949140489346799041 (/ (pow x 3) (pow y 3)))) (+ (* -1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (/ (pow x 2) (pow y 2))) (* 100000000000000000000000000000000/480125098611044764748221188321 (/ x y)))) y)
(/ 10000000000000000/692910599291889 y)
(* -1 (/ (- (* 100000000000000000000000000000000/480125098611044764748221188321 (/ x y)) 10000000000000000/692910599291889) y))
(* -1 (/ (- (* -1 (/ (- (* 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (/ (pow x 2) y)) (* 100000000000000000000000000000000/480125098611044764748221188321 x)) y)) 10000000000000000/692910599291889) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 10000000000000000000000000000000000000000000000000000000000000000/230520110316265459487628991262802136350644949140489346799041 (/ (pow x 3) y)) (* 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (pow x 2))) y)) (* 100000000000000000000000000000000/480125098611044764748221188321 x)) y)) 10000000000000000/692910599291889) y))
(/ 10000000000000000/692910599291889 y)
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(/ 1 x)
(/ (+ 1 (* -692910599291889/10000000000000000 (/ y x))) x)
(/ (- (+ 1 (* 480125098611044764748221188321/100000000000000000000000000000000 (/ (pow y 2) (pow x 2)))) (* 692910599291889/10000000000000000 (/ y x))) x)
(/ (- (+ 1 (* -332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/ (pow y 3) (pow x 3)))) (+ (* -480125098611044764748221188321/100000000000000000000000000000000 (/ (pow y 2) (pow x 2))) (* 692910599291889/10000000000000000 (/ y x)))) x)
(/ 1 x)
(* -1 (/ (- (* 692910599291889/10000000000000000 (/ y x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* 480125098611044764748221188321/100000000000000000000000000000000 (/ (pow y 2) x)) (* 692910599291889/10000000000000000 y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/ (pow y 3) x)) (* 480125098611044764748221188321/100000000000000000000000000000000 (pow y 2))) x)) (* 692910599291889/10000000000000000 y)) x)) 1) x))
x
(+ x (* 692910599291889/10000000000000000 y))
(+ x (* 692910599291889/10000000000000000 y))
(+ x (* 692910599291889/10000000000000000 y))
(* 692910599291889/10000000000000000 y)
(* y (+ 692910599291889/10000000000000000 (/ x y)))
(* y (+ 692910599291889/10000000000000000 (/ x y)))
(* y (+ 692910599291889/10000000000000000 (/ x y)))
(* 692910599291889/10000000000000000 y)
(* -1 (* y (- (* -1 (/ x y)) 692910599291889/10000000000000000)))
(* -1 (* y (- (* -1 (/ x y)) 692910599291889/10000000000000000)))
(* -1 (* y (- (* -1 (/ x y)) 692910599291889/10000000000000000)))
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(/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (pow z 2))
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))))
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
Outputs
x
(+ x (* 692910599291889/10000000000000000 y))
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) y x)
(+ x (* 692910599291889/10000000000000000 y))
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) y x)
(+ x (* 692910599291889/10000000000000000 y))
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) y x)
(* 692910599291889/10000000000000000 y)
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
(* y (+ 692910599291889/10000000000000000 (/ x y)))
(*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 x y)))
(* y (+ 692910599291889/10000000000000000 (/ x y)))
(*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 x y)))
(* y (+ 692910599291889/10000000000000000 (/ x y)))
(*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 x y)))
(* 692910599291889/10000000000000000 y)
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
(* -1 (* y (- (* -1 (/ x y)) 692910599291889/10000000000000000)))
(*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 x y)))
(* -1 (* y (- (* -1 (/ x y)) 692910599291889/10000000000000000)))
(*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 x y)))
(* -1 (* y (- (* -1 (/ x y)) 692910599291889/10000000000000000)))
(*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 x y)))
(* 692910599291889/10000000000000000 y)
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
(+ x (* 692910599291889/10000000000000000 y))
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) y x)
(+ x (* 692910599291889/10000000000000000 y))
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) y x)
(+ x (* 692910599291889/10000000000000000 y))
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) y x)
x
(* x (+ 1 (* 692910599291889/10000000000000000 (/ y x))))
(fma.f64 x (/.f64 (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) x) x)
(* x (+ 1 (* 692910599291889/10000000000000000 (/ y x))))
(fma.f64 x (/.f64 (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) x) x)
(* x (+ 1 (* 692910599291889/10000000000000000 (/ y x))))
(fma.f64 x (/.f64 (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) x) x)
x
(* -1 (* x (- (* -692910599291889/10000000000000000 (/ y x)) 1)))
(fma.f64 x (/.f64 (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) x) x)
(* -1 (* x (- (* -692910599291889/10000000000000000 (/ y x)) 1)))
(fma.f64 x (/.f64 (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) x) x)
(* -1 (* x (- (* -692910599291889/10000000000000000 (/ y x)) 1)))
(fma.f64 x (/.f64 (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) x) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(+ (* -692910599291889/10000000000000000 (/ y (pow x 2))) (/ 1 x))
(/.f64 (fma.f64 y (/.f64 #s(literal -692910599291889/10000000000000000 binary64) x) #s(literal 1 binary64)) x)
(+ (* y (- (* 480125098611044764748221188321/100000000000000000000000000000000 (/ y (pow x 3))) (* 692910599291889/10000000000000000 (/ 1 (pow x 2))))) (/ 1 x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (/.f64 (*.f64 y y) x) (*.f64 y #s(literal -692910599291889/10000000000000000 binary64))) x)) x)
(+ (* y (- (* y (+ (* -332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/ y (pow x 4))) (* 480125098611044764748221188321/100000000000000000000000000000000 (/ 1 (pow x 3))))) (* 692910599291889/10000000000000000 (/ 1 (pow x 2))))) (/ 1 x))
(fma.f64 y (*.f64 y (fma.f64 y (/.f64 #s(literal -332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (fma.f64 y (/.f64 #s(literal -692910599291889/10000000000000000 binary64) x) #s(literal 1 binary64)) x))
(/ 10000000000000000/692910599291889 y)
(/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)
(/ (+ 10000000000000000/692910599291889 (* -100000000000000000000000000000000/480125098611044764748221188321 (/ x y))) y)
(/.f64 (fma.f64 x (/.f64 #s(literal -100000000000000000000000000000000/480125098611044764748221188321 binary64) y) #s(literal 10000000000000000/692910599291889 binary64)) y)
(/ (- (+ 10000000000000000/692910599291889 (* 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (/ (pow x 2) (pow y 2)))) (* 100000000000000000000000000000000/480125098611044764748221188321 (/ x y))) y)
(/.f64 (+.f64 #s(literal 10000000000000000/692910599291889 binary64) (/.f64 (fma.f64 x #s(literal -100000000000000000000000000000000/480125098611044764748221188321 binary64) (*.f64 x (/.f64 (*.f64 x #s(literal 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 binary64)) y))) y)) y)
(/ (- (+ 10000000000000000/692910599291889 (* -10000000000000000000000000000000000000000000000000000000000000000/230520110316265459487628991262802136350644949140489346799041 (/ (pow x 3) (pow y 3)))) (+ (* -1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (/ (pow x 2) (pow y 2))) (* 100000000000000000000000000000000/480125098611044764748221188321 (/ x y)))) y)
(/.f64 (+.f64 #s(literal 10000000000000000/692910599291889 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal -10000000000000000000000000000000000000000000000000000000000000000/230520110316265459487628991262802136350644949140489346799041 binary64) (*.f64 y (*.f64 y y))) (/.f64 (fma.f64 x #s(literal -100000000000000000000000000000000/480125098611044764748221188321 binary64) (*.f64 x (/.f64 (*.f64 x #s(literal 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 binary64)) y))) y))) y)
(/ 10000000000000000/692910599291889 y)
(/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)
(* -1 (/ (- (* 100000000000000000000000000000000/480125098611044764748221188321 (/ x y)) 10000000000000000/692910599291889) y))
(/.f64 (fma.f64 x (/.f64 #s(literal -100000000000000000000000000000000/480125098611044764748221188321 binary64) y) #s(literal 10000000000000000/692910599291889 binary64)) y)
(* -1 (/ (- (* -1 (/ (- (* 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (/ (pow x 2) y)) (* 100000000000000000000000000000000/480125098611044764748221188321 x)) y)) 10000000000000000/692910599291889) y))
(/.f64 (+.f64 #s(literal 10000000000000000/692910599291889 binary64) (/.f64 (fma.f64 x #s(literal -100000000000000000000000000000000/480125098611044764748221188321 binary64) (*.f64 x (/.f64 (*.f64 x #s(literal 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 binary64)) y))) y)) y)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 10000000000000000000000000000000000000000000000000000000000000000/230520110316265459487628991262802136350644949140489346799041 (/ (pow x 3) y)) (* 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (pow x 2))) y)) (* 100000000000000000000000000000000/480125098611044764748221188321 x)) y)) 10000000000000000/692910599291889) y))
(/.f64 (-.f64 #s(literal 10000000000000000/692910599291889 binary64) (/.f64 (fma.f64 x #s(literal 100000000000000000000000000000000/480125098611044764748221188321 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 binary64) (*.f64 #s(literal 10000000000000000000000000000000000000000000000000000000000000000/230520110316265459487628991262802136350644949140489346799041 binary64) (/.f64 (*.f64 x (*.f64 x x)) y))) y)) y)) y)
(/ 10000000000000000/692910599291889 y)
(/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)
(+ (* -100000000000000000000000000000000/480125098611044764748221188321 (/ x (pow y 2))) (* 10000000000000000/692910599291889 (/ 1 y)))
(/.f64 (fma.f64 x (/.f64 #s(literal -100000000000000000000000000000000/480125098611044764748221188321 binary64) y) #s(literal 10000000000000000/692910599291889 binary64)) y)
(+ (* x (- (* 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (/ x (pow y 3))) (* 100000000000000000000000000000000/480125098611044764748221188321 (/ 1 (pow y 2))))) (* 10000000000000000/692910599291889 (/ 1 y)))
(/.f64 (+.f64 #s(literal 10000000000000000/692910599291889 binary64) (/.f64 (fma.f64 x #s(literal -100000000000000000000000000000000/480125098611044764748221188321 binary64) (*.f64 x (/.f64 (*.f64 x #s(literal 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 binary64)) y))) y)) y)
(+ (* x (- (* x (+ (* -10000000000000000000000000000000000000000000000000000000000000000/230520110316265459487628991262802136350644949140489346799041 (/ x (pow y 4))) (* 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 (/ 1 (pow y 3))))) (* 100000000000000000000000000000000/480125098611044764748221188321 (/ 1 (pow y 2))))) (* 10000000000000000/692910599291889 (/ 1 y)))
(fma.f64 x (*.f64 x (fma.f64 x (/.f64 #s(literal -10000000000000000000000000000000000000000000000000000000000000000/230520110316265459487628991262802136350644949140489346799041 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1000000000000000000000000000000000000000000000000/332683769813656330865983273121589448716828369 binary64) (*.f64 y (*.f64 y y))))) (/.f64 (fma.f64 x (/.f64 #s(literal -100000000000000000000000000000000/480125098611044764748221188321 binary64) y) #s(literal 10000000000000000/692910599291889 binary64)) y))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* -692910599291889/10000000000000000 (/ y x))) x)
(/.f64 (fma.f64 y (/.f64 #s(literal -692910599291889/10000000000000000 binary64) x) #s(literal 1 binary64)) x)
(/ (- (+ 1 (* 480125098611044764748221188321/100000000000000000000000000000000 (/ (pow y 2) (pow x 2)))) (* 692910599291889/10000000000000000 (/ y x))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (/.f64 (*.f64 y y) x) (*.f64 y #s(literal -692910599291889/10000000000000000 binary64))) x)) x)
(/ (- (+ 1 (* -332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/ (pow y 3) (pow x 3)))) (+ (* -480125098611044764748221188321/100000000000000000000000000000000 (/ (pow y 2) (pow x 2))) (* 692910599291889/10000000000000000 (/ y x)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (/.f64 (*.f64 y y) x) (*.f64 y #s(literal -692910599291889/10000000000000000 binary64))) x))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* 692910599291889/10000000000000000 (/ y x)) 1) x))
(/.f64 (fma.f64 y (/.f64 #s(literal -692910599291889/10000000000000000 binary64) x) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* 480125098611044764748221188321/100000000000000000000000000000000 (/ (pow y 2) x)) (* 692910599291889/10000000000000000 y)) x)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (/.f64 (*.f64 y y) x) (*.f64 y #s(literal -692910599291889/10000000000000000 binary64))) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (/ (pow y 3) x)) (* 480125098611044764748221188321/100000000000000000000000000000000 (pow y 2))) x)) (* 692910599291889/10000000000000000 y)) x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) y (/.f64 (fma.f64 (*.f64 y y) #s(literal -480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) (/.f64 (*.f64 y (*.f64 y y)) x))) x)) x)) x)
x
(+ x (* 692910599291889/10000000000000000 y))
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) y x)
(+ x (* 692910599291889/10000000000000000 y))
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) y x)
(+ x (* 692910599291889/10000000000000000 y))
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) y x)
(* 692910599291889/10000000000000000 y)
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
(* y (+ 692910599291889/10000000000000000 (/ x y)))
(*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 x y)))
(* y (+ 692910599291889/10000000000000000 (/ x y)))
(*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 x y)))
(* y (+ 692910599291889/10000000000000000 (/ x y)))
(*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 x y)))
(* 692910599291889/10000000000000000 y)
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
(* -1 (* y (- (* -1 (/ x y)) 692910599291889/10000000000000000)))
(*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 x y)))
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(*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 x y)))
(* -1 (* y (- (* -1 (/ x y)) 692910599291889/10000000000000000)))
(*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 x y)))
(* 692910599291889/10000000000000000 y)
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
(+ x (* 692910599291889/10000000000000000 y))
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(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) y x)
x
(* x (+ 1 (* 692910599291889/10000000000000000 (/ y x))))
(fma.f64 x (/.f64 (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) x) x)
(* x (+ 1 (* 692910599291889/10000000000000000 (/ y x))))
(fma.f64 x (/.f64 (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) x) x)
(* x (+ 1 (* 692910599291889/10000000000000000 (/ y x))))
(fma.f64 x (/.f64 (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) x) x)
x
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(* 692910599291889/10000000000000000 y)
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(* 692910599291889/10000000000000000 y)
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
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(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
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(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
(* 692910599291889/10000000000000000 y)
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
(+ x (* 692910599291889/10000000000000000 y))
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x
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(* x (+ 1 (* 692910599291889/10000000000000000 (/ y x))))
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(fma.f64 x (/.f64 (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) x) x)
x
(* -1 (* x (- (* -692910599291889/10000000000000000 (/ y x)) 1)))
(fma.f64 x (/.f64 (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) x) x)
(* -1 (* x (- (* -692910599291889/10000000000000000 (/ y x)) 1)))
(fma.f64 x (/.f64 (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) x) x)
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(fma.f64 x (/.f64 (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) x) x)
x
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(- 480125098611044764748221188321/100000000000000000000000000000000 (* 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (/ 1 (pow z 2))))
(+.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (/.f64 #s(literal -564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 z z)))
(- 480125098611044764748221188321/100000000000000000000000000000000 (* 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (/ 1 (pow z 2))))
(+.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (/.f64 #s(literal -564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 z z)))
(/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (pow z 2))
(/.f64 #s(literal 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 z z))
(/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (pow z 2))
(/.f64 #s(literal 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 z z))
(/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (pow z 2))
(/.f64 #s(literal 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 z z))
(/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (pow z 2))
(/.f64 #s(literal 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 z z))
(/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (pow z 2))
(/.f64 #s(literal 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 z z))
(/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (pow z 2))
(/.f64 #s(literal 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 z z))
(/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (pow z 2))
(/.f64 #s(literal 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 z z))
(/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (pow z 2))
(/.f64 #s(literal 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 z z))
(/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (pow z 2))
(/.f64 #s(literal 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 z z))
(/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (pow z 2))
(/.f64 #s(literal 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 z z))
(/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (pow z 2))
(/.f64 #s(literal 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 z z))
(/ 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (pow z 2))
(/.f64 #s(literal 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 z z))
6012459259764103/1000000000000000
#s(literal 6012459259764103/1000000000000000 binary64)
(+ 6012459259764103/1000000000000000 z)
(+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))
(+ 6012459259764103/1000000000000000 z)
(+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))
(+ 6012459259764103/1000000000000000 z)
(+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))
z
(* z (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))
(+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))
(* z (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))
(+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))
(* z (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))
(+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))
z
(* z (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))
(+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))
(* z (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))
(+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))
(* z (+ 1 (* 6012459259764103/1000000000000000 (/ 1 z))))
(+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
(/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
(/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
(/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
(/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
(/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
(/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
(/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
(/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
(/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
(/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
(/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
(/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)

eval260.0ms (2.3%)

Memory
18.8MiB live, 281.9MiB allocated
Compiler

Compiled 17 883 to 2 125 computations (88.1% saved)

prune224.0ms (2%)

Memory
-42.7MiB live, 217.0MiB allocated
Pruning

19 alts after pruning (16 fresh and 3 done)

PrunedKeptTotal
New9295934
Fresh51116
Picked415
Done022
Total93819957
Accuracy
100.0%
Counts
957 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.4%
(fma.f64 (*.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x) (/.f64 #s(literal 1 binary64) x) x)
76.1%
(fma.f64 (*.f64 x #s(literal 692910599291889/10000000000000000 binary64)) (/.f64 y x) x)
61.8%
(fma.f64 y (fma.f64 z #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) #s(literal 279195317918525/3350343815022304 binary64)) x)
▶78.6%
(fma.f64 y (/.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z))) x)
57.5%
(fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) (fma.f64 z (fma.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) (*.f64 z (*.f64 y #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))) x))
76.4%
(fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) x)
✓82.6%
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)
▶44.8%
(/.f64 (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) y x) (*.f64 y #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64))) z)
26.2%
(/.f64 (*.f64 y (/.f64 (fma.f64 z (*.f64 (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) (*.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)))) #s(literal -124720040876201995101661081/1600000000000000000000000000 binary64)) (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal -11167812716741/40000000000000 binary64)))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
8.6%
(/.f64 (*.f64 y (*.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
23.3%
(/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
▶29.2%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)) (*.f64 y (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)))))
▶34.1%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y))
41.0%
(+.f64 x (/.f64 (*.f64 z (fma.f64 z (*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z z)))) (*.f64 y #s(literal 307332350656623/625000000000000 binary64)))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))
35.7%
(*.f64 (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (/.f64 y (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))))
30.3%
(*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)))
▶28.8%
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
✓34.0%
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
✓50.7%
x
Compiler

Compiled 503 to 353 computations (29.8% saved)

simplify283.0ms (2.5%)

Memory
22.0MiB live, 409.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 z #s(literal 6012459259764103/1000000000000000 binary64))
✓cost-diff0
(fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))
✓cost-diff0
(/.f64 (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)) (*.f64 y (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))))
✓cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)) (*.f64 y (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)))))
✓cost-diff0
(*.f64 y #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64))
✓cost-diff0
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) y x)
✓cost-diff0
(fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) y x) (*.f64 y #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64)))
✓cost-diff512
(/.f64 (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) y x) (*.f64 y #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64))) z)
✓cost-diff0
(/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)
✓cost-diff1088
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y))
✓cost-diff0
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
✓cost-diff0
(/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)
✓cost-diff0
(-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z))
✓cost-diff0
(/.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)))
✓cost-diff0
(fma.f64 y (/.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z))) x)
Rules
8 326×accelerator-lowering-fma.f32
8 326×accelerator-lowering-fma.f64
3 296×*-lowering-*.f32
3 296×*-lowering-*.f64
2 280×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037166
187166
2194164
3424164
4967164
51354164
61460164
71633164
81869164
92373162
102901160
114104160
125568160
137362160
08062143
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* y (/ 480125098611044764748221188321/100000000000000000000000000000000 (- 692910599291889/10000000000000000 (/ 751220861604756070699018739433/10000000000000000000000000000000 z)))) x)
y
(/ 480125098611044764748221188321/100000000000000000000000000000000 (- 692910599291889/10000000000000000 (/ 751220861604756070699018739433/10000000000000000000000000000000 z)))
480125098611044764748221188321/100000000000000000000000000000000
(- 692910599291889/10000000000000000 (/ 751220861604756070699018739433/10000000000000000000000000000000 z))
692910599291889/10000000000000000
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
751220861604756070699018739433/10000000000000000000000000000000
z
x
(* y 279195317918525/3350343815022304)
y
279195317918525/3350343815022304
(/ 1 (/ 10000000000000000/692910599291889 y))
1
(/ 10000000000000000/692910599291889 y)
10000000000000000/692910599291889
y
(/ (+ (* z (+ (* 692910599291889/10000000000000000 y) x)) (* y 751220861604756070699018739433/10000000000000000000000000000000)) z)
(+ (* z (+ (* 692910599291889/10000000000000000 y) x)) (* y 751220861604756070699018739433/10000000000000000000000000000000))
z
(+ (* 692910599291889/10000000000000000 y) x)
692910599291889/10000000000000000
y
x
(* y 751220861604756070699018739433/10000000000000000000000000000000)
751220861604756070699018739433/10000000000000000000000000000000
(/ 1 (/ (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (* y (+ (* z (+ (* 692910599291889/10000000000000000 z) 307332350656623/625000000000000)) 11167812716741/40000000000000))))
1
(/ (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (* y (+ (* z (+ (* 692910599291889/10000000000000000 z) 307332350656623/625000000000000)) 11167812716741/40000000000000)))
(+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)
z
(+ z 6012459259764103/1000000000000000)
6012459259764103/1000000000000000
104698244219447/31250000000000
(* y (+ (* z (+ (* 692910599291889/10000000000000000 z) 307332350656623/625000000000000)) 11167812716741/40000000000000))
y
(+ (* z (+ (* 692910599291889/10000000000000000 z) 307332350656623/625000000000000)) 11167812716741/40000000000000)
(+ (* 692910599291889/10000000000000000 z) 307332350656623/625000000000000)
692910599291889/10000000000000000
307332350656623/625000000000000
11167812716741/40000000000000
Outputs
(+ (* y (/ 480125098611044764748221188321/100000000000000000000000000000000 (- 692910599291889/10000000000000000 (/ 751220861604756070699018739433/10000000000000000000000000000000 z)))) x)
(fma.f64 y (/.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z))) x)
y
(/ 480125098611044764748221188321/100000000000000000000000000000000 (- 692910599291889/10000000000000000 (/ 751220861604756070699018739433/10000000000000000000000000000000 z)))
(/.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z)))
480125098611044764748221188321/100000000000000000000000000000000
#s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64)
(- 692910599291889/10000000000000000 (/ 751220861604756070699018739433/10000000000000000000000000000000 z))
(+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z))
692910599291889/10000000000000000
#s(literal 692910599291889/10000000000000000 binary64)
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
(/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)
751220861604756070699018739433/10000000000000000000000000000000
#s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64)
z
x
(* y 279195317918525/3350343815022304)
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
y
279195317918525/3350343815022304
#s(literal 279195317918525/3350343815022304 binary64)
(/ 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
(/ (+ (* z (+ (* 692910599291889/10000000000000000 y) x)) (* y 751220861604756070699018739433/10000000000000000000000000000000)) z)
(fma.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) x)
(+ (* z (+ (* 692910599291889/10000000000000000 y) x)) (* y 751220861604756070699018739433/10000000000000000000000000000000))
(fma.f64 y (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64)) (*.f64 z x))
z
(+ (* 692910599291889/10000000000000000 y) x)
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)
692910599291889/10000000000000000
#s(literal 692910599291889/10000000000000000 binary64)
y
x
(* y 751220861604756070699018739433/10000000000000000000000000000000)
(*.f64 y #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64))
751220861604756070699018739433/10000000000000000000000000000000
#s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64)
(/ 1 (/ (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (* y (+ (* z (+ (* 692910599291889/10000000000000000 z) 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(/.f64 (*.f64 y (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
1
#s(literal 1 binary64)
(/ (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (* y (+ (* z (+ (* 692910599291889/10000000000000000 z) 307332350656623/625000000000000)) 11167812716741/40000000000000)))
(/.f64 (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)) (*.f64 y (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))))
(+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)
(fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 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 (+ (* 692910599291889/10000000000000000 z) 307332350656623/625000000000000)) 11167812716741/40000000000000))
(*.f64 y (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)))
y
(+ (* z (+ (* 692910599291889/10000000000000000 z) 307332350656623/625000000000000)) 11167812716741/40000000000000)
(fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))
(+ (* 692910599291889/10000000000000000 z) 307332350656623/625000000000000)
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64))
692910599291889/10000000000000000
#s(literal 692910599291889/10000000000000000 binary64)
307332350656623/625000000000000
#s(literal 307332350656623/625000000000000 binary64)
11167812716741/40000000000000
#s(literal 11167812716741/40000000000000 binary64)

localize135.0ms (1.2%)

Memory
-9.8MiB live, 231.2MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64))
✓accuracy99.3%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)) (*.f64 y (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)))))
✓accuracy96.6%
(*.f64 y (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)))
✓accuracy67.6%
(/.f64 (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)) (*.f64 y (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))))
✓accuracy99.9%
(fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) y x) (*.f64 y #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64)))
✓accuracy99.7%
(*.f64 y #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64))
✓accuracy99.6%
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) y x)
✓accuracy77.2%
(/.f64 (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) y x) (*.f64 y #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64))) z)
✓accuracy99.9%
(/.f64 #s(literal 10000000000000000/692910599291889 binary64) y)
✓accuracy99.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y))
✓accuracy99.7%
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
✓accuracy100.0%
(-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z))
✓accuracy99.8%
(fma.f64 y (/.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z))) x)
✓accuracy99.7%
(/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)
✓accuracy99.0%
(/.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)))
Samples
94.0ms256×0valid
Compiler

Compiled 152 to 39 computations (74.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
const: 39.0ms (54.1% of total)
ival-mult: 13.0ms (18% of total)
ival-div: 11.0ms (15.2% of total)
ival-add: 7.0ms (9.7% of total)
ival-sub: 1.0ms (1.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory
1.8MiB live, 40.0MiB allocated
Counts
17 → 324
Calls
Call 1
Inputs
#<alt (+ (* y (/ 480125098611044764748221188321/100000000000000000000000000000000 (- 692910599291889/10000000000000000 (/ 751220861604756070699018739433/10000000000000000000000000000000 z)))) x)>
#<alt (/ 480125098611044764748221188321/100000000000000000000000000000000 (- 692910599291889/10000000000000000 (/ 751220861604756070699018739433/10000000000000000000000000000000 z)))>
#<alt (- 692910599291889/10000000000000000 (/ 751220861604756070699018739433/10000000000000000000000000000000 z))>
#<alt (/ 751220861604756070699018739433/10000000000000000000000000000000 z)>
#<alt (* y 279195317918525/3350343815022304)>
#<alt (/ 1 (/ 10000000000000000/692910599291889 y))>
#<alt (/ 10000000000000000/692910599291889 y)>
#<alt (/ (+ (* z (+ (* 692910599291889/10000000000000000 y) x)) (* y 751220861604756070699018739433/10000000000000000000000000000000)) z)>
#<alt (+ (* z (+ (* 692910599291889/10000000000000000 y) x)) (* y 751220861604756070699018739433/10000000000000000000000000000000))>
#<alt (+ (* 692910599291889/10000000000000000 y) x)>
#<alt (* y 751220861604756070699018739433/10000000000000000000000000000000)>
#<alt (/ 1 (/ (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (* y (+ (* z (+ (* 692910599291889/10000000000000000 z) 307332350656623/625000000000000)) 11167812716741/40000000000000))))>
#<alt (/ (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (* y (+ (* z (+ (* 692910599291889/10000000000000000 z) 307332350656623/625000000000000)) 11167812716741/40000000000000)))>
#<alt (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)>
#<alt (+ z 6012459259764103/1000000000000000)>
#<alt (* y (+ (* z (+ (* 692910599291889/10000000000000000 z) 307332350656623/625000000000000)) 11167812716741/40000000000000))>
#<alt (+ (* 692910599291889/10000000000000000 z) 307332350656623/625000000000000)>
Outputs
#<alt x>
#<alt (+ x (* 480125098611044764748221188321/100000000000000000000000000000000 (/ y (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))))>
#<alt (+ x (* 480125098611044764748221188321/100000000000000000000000000000000 (/ y (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))))>
#<alt (+ x (* 480125098611044764748221188321/100000000000000000000000000000000 (/ y (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))))>
#<alt (* 480125098611044764748221188321/100000000000000000000000000000000 (/ y (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))))>
#<alt (* y (+ (* 480125098611044764748221188321/100000000000000000000000000000000 (/ 1 (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))) (/ x y)))>
#<alt (* y (+ (* 480125098611044764748221188321/100000000000000000000000000000000 (/ 1 (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))) (/ x y)))>
#<alt (* y (+ (* 480125098611044764748221188321/100000000000000000000000000000000 (/ 1 (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))) (/ x y)))>
#<alt (* 480125098611044764748221188321/100000000000000000000000000000000 (/ y (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 480125098611044764748221188321/100000000000000000000000000000000 (/ 1 (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 480125098611044764748221188321/100000000000000000000000000000000 (/ 1 (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))))))>
#<alt (* -1 (* y (- (* -1 (/ x y)) (* 480125098611044764748221188321/100000000000000000000000000000000 (/ 1 (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))))))>
#<alt x>
#<alt (+ x (* -160041699537014921582740396107/2504069538682520235663395798110 (* y z)))>
#<alt (+ x (* z (+ (* -160041699537014921582740396107/2504069538682520235663395798110 y) (* -3696486331262848120733147479128771652409204100000000000000/62703642545576897068524151514589152838481934966500038795721 (* y z)))))>
#<alt (+ x (* z (+ (* -160041699537014921582740396107/2504069538682520235663395798110 y) (* z (+ (* -3696486331262848120733147479128771652409204100000000000000/62703642545576897068524151514589152838481934966500038795721 y) (* -853778186356538738843070338010378282780166478298108691848300000000000000000000000000000/15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731 (* y z)))))))>
#<alt (+ x (* 692910599291889/10000000000000000 y))>
#<alt (+ x (+ (* 692910599291889/10000000000000000 y) (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))))>
#<alt (+ x (+ (* 692910599291889/10000000000000000 y) (+ (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z)) (* 188110927636730691205572454543767458515445804899500116387163/2309701997639630000000000000000000000000000000000000000000000 (/ y (pow z 2))))))>
#<alt (+ x (+ (* 692910599291889/10000000000000000 y) (+ (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z)) (+ (* 188110927636730691205572454543767458515445804899500116387163/2309701997639630000000000000000000000000000000000000000000000 (/ y (pow z 2))) (* 47104284378844916841903990424105893865239822267153852383042093886354306979400488814366193/533472331790049738609134653690000000000000000000000000000000000000000000000000000000000000 (/ y (pow z 3)))))))>
#<alt (+ x (* 692910599291889/10000000000000000 y))>
#<alt (+ x (+ (* 692910599291889/10000000000000000 y) (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))))>
#<alt (+ x (+ (* -1 (/ (+ (* -188110927636730691205572454543767458515445804899500116387163/2309701997639630000000000000000000000000000000000000000000000 (/ y z)) (* -751220861604756070699018739433/10000000000000000000000000000000 y)) z)) (* 692910599291889/10000000000000000 y)))>
#<alt (+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* 188110927636730691205572454543767458515445804899500116387163/2309701997639630000000000000000000000000000000000000000000000 y) (* 47104284378844916841903990424105893865239822267153852383042093886354306979400488814366193/533472331790049738609134653690000000000000000000000000000000000000000000000000000000000000 (/ y z))) z)) (* -751220861604756070699018739433/10000000000000000000000000000000 y)) z)) (* 692910599291889/10000000000000000 y)))>
#<alt (* 480125098611044764748221188321/100000000000000000000000000000000 (/ y (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))))>
#<alt (+ x (* 480125098611044764748221188321/100000000000000000000000000000000 (/ y (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))))>
#<alt (+ x (* 480125098611044764748221188321/100000000000000000000000000000000 (/ y (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))))>
#<alt (+ x (* 480125098611044764748221188321/100000000000000000000000000000000 (/ y (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))))>
#<alt x>
#<alt (* x (+ 1 (* 480125098611044764748221188321/100000000000000000000000000000000 (/ y (* x (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))))))>
#<alt (* x (+ 1 (* 480125098611044764748221188321/100000000000000000000000000000000 (/ y (* x (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))))))>
#<alt (* x (+ 1 (* 480125098611044764748221188321/100000000000000000000000000000000 (/ y (* x (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))))))>
#<alt x>
#<alt (* -1 (* x (- (* -480125098611044764748221188321/100000000000000000000000000000000 (/ y (* x (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))))) 1)))>
#<alt (* -1 (* x (- (* -480125098611044764748221188321/100000000000000000000000000000000 (/ y (* x (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))))) 1)))>
#<alt (* -1 (* x (- (* -480125098611044764748221188321/100000000000000000000000000000000 (/ y (* x (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))))) 1)))>
#<alt (* -160041699537014921582740396107/2504069538682520235663395798110 z)>
#<alt (* z (- (* -3696486331262848120733147479128771652409204100000000000000/62703642545576897068524151514589152838481934966500038795721 z) 160041699537014921582740396107/2504069538682520235663395798110))>
#<alt (* z (- (* z (- (* -853778186356538738843070338010378282780166478298108691848300000000000000000000000000000/15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731 z) 3696486331262848120733147479128771652409204100000000000000/62703642545576897068524151514589152838481934966500038795721)) 160041699537014921582740396107/2504069538682520235663395798110))>
#<alt (* z (- (* z (- (* z (- (* -197197318256883782045293390284022880676435948793227669139889539362202812900000000000000000000000000000000000000000000/3931746788483481172165326344768108943805269958963204279358207328721937781874449924622341652328675000958198107967909841 z) 853778186356538738843070338010378282780166478298108691848300000000000000000000000000000/15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731)) 3696486331262848120733147479128771652409204100000000000000/62703642545576897068524151514589152838481934966500038795721)) 160041699537014921582740396107/2504069538682520235663395798110))>
#<alt 692910599291889/10000000000000000>
#<alt (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))>
#<alt (+ 692910599291889/10000000000000000 (+ (/ 188110927636730691205572454543767458515445804899500116387163/2309701997639630000000000000000000000000000000000000000000000 (pow z 2)) (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))>
#<alt (+ 692910599291889/10000000000000000 (+ (/ 188110927636730691205572454543767458515445804899500116387163/2309701997639630000000000000000000000000000000000000000000000 (pow z 2)) (+ (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)) (* 47104284378844916841903990424105893865239822267153852383042093886354306979400488814366193/533472331790049738609134653690000000000000000000000000000000000000000000000000000000000000 (/ 1 (pow z 3))))))>
#<alt 692910599291889/10000000000000000>
#<alt (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))>
#<alt (+ 692910599291889/10000000000000000 (+ (/ 188110927636730691205572454543767458515445804899500116387163/2309701997639630000000000000000000000000000000000000000000000 (pow z 2)) (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))>
#<alt (+ 692910599291889/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 188110927636730691205572454543767458515445804899500116387163/2309701997639630000000000000000000000000000000000000000000000 (* 47104284378844916841903990424105893865239822267153852383042093886354306979400488814366193/533472331790049738609134653690000000000000000000000000000000000000000000000000000000000000 (/ 1 z))) z)) 751220861604756070699018739433/10000000000000000000000000000000) z)))>
#<alt (/ -751220861604756070699018739433/10000000000000000000000000000000 z)>
#<alt (/ (- (* 692910599291889/10000000000000000 z) 751220861604756070699018739433/10000000000000000000000000000000) z)>
#<alt (/ (- (* 692910599291889/10000000000000000 z) 751220861604756070699018739433/10000000000000000000000000000000) z)>
#<alt (/ (- (* 692910599291889/10000000000000000 z) 751220861604756070699018739433/10000000000000000000000000000000) z)>
#<alt 692910599291889/10000000000000000>
#<alt (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))>
#<alt (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))>
#<alt (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))>
#<alt 692910599291889/10000000000000000>
#<alt (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))>
#<alt (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))>
#<alt (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))>
#<alt (/ 751220861604756070699018739433/10000000000000000000000000000000 z)>
#<alt (/ 751220861604756070699018739433/10000000000000000000000000000000 z)>
#<alt (/ 751220861604756070699018739433/10000000000000000000000000000000 z)>
#<alt (/ 751220861604756070699018739433/10000000000000000000000000000000 z)>
#<alt (/ 751220861604756070699018739433/10000000000000000000000000000000 z)>
#<alt (/ 751220861604756070699018739433/10000000000000000000000000000000 z)>
#<alt (/ 751220861604756070699018739433/10000000000000000000000000000000 z)>
#<alt (/ 751220861604756070699018739433/10000000000000000000000000000000 z)>
#<alt (/ 751220861604756070699018739433/10000000000000000000000000000000 z)>
#<alt (/ 751220861604756070699018739433/10000000000000000000000000000000 z)>
#<alt (/ 751220861604756070699018739433/10000000000000000000000000000000 z)>
#<alt (/ 751220861604756070699018739433/10000000000000000000000000000000 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)>
#<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)>
#<alt (/ 10000000000000000/692910599291889 y)>
#<alt (/ 10000000000000000/692910599291889 y)>
#<alt (/ 10000000000000000/692910599291889 y)>
#<alt (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))>
#<alt (/ (+ (* 751220861604756070699018739433/10000000000000000000000000000000 y) (* z (+ x (* 692910599291889/10000000000000000 y)))) z)>
#<alt (/ (+ (* 751220861604756070699018739433/10000000000000000000000000000000 y) (* z (+ x (* 692910599291889/10000000000000000 y)))) z)>
#<alt (/ (+ (* 751220861604756070699018739433/10000000000000000000000000000000 y) (* z (+ x (* 692910599291889/10000000000000000 y)))) z)>
#<alt (+ x (* 692910599291889/10000000000000000 y))>
#<alt (+ x (+ (* 692910599291889/10000000000000000 y) (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))))>
#<alt (+ x (+ (* 692910599291889/10000000000000000 y) (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))))>
#<alt (+ x (+ (* 692910599291889/10000000000000000 y) (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))))>
#<alt (+ x (* 692910599291889/10000000000000000 y))>
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#<alt (/ (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))) (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))))>
#<alt (/ (+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z))) (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))))>
#<alt 104698244219447/31250000000000>
#<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>
#<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 (+ 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)))>
#<alt 307332350656623/625000000000000>
#<alt (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))>
#<alt (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))>
#<alt (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))>
#<alt (* 692910599291889/10000000000000000 z)>
#<alt (* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))>
#<alt (* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))>
#<alt (* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))>
#<alt (* 692910599291889/10000000000000000 z)>
#<alt (* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))>
#<alt (* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))>
#<alt (* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))>
Calls

81 calls:

TimeVariablePointExpression
3.0ms
y
@0
(/ (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (* y (+ (* z (+ (* 692910599291889/10000000000000000 z) 307332350656623/625000000000000)) 11167812716741/40000000000000)))
1.0ms
z
@-inf
(/ (+ (* z (+ (* 692910599291889/10000000000000000 y) x)) (* y 751220861604756070699018739433/10000000000000000000000000000000)) z)
1.0ms
z
@inf
(/ (+ (* z (+ (* 692910599291889/10000000000000000 y) x)) (* y 751220861604756070699018739433/10000000000000000000000000000000)) z)
1.0ms
x
@0
(+ (* y (/ 480125098611044764748221188321/100000000000000000000000000000000 (- 692910599291889/10000000000000000 (/ 751220861604756070699018739433/10000000000000000000000000000000 z)))) x)
1.0ms
z
@0
(/ (+ (* z (+ (* 692910599291889/10000000000000000 y) x)) (* y 751220861604756070699018739433/10000000000000000000000000000000)) z)

rewrite412.0ms (3.6%)

Memory
24.0MiB live, 617.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 826×accelerator-lowering-fma.f32
4 826×accelerator-lowering-fma.f64
4 072×*-lowering-*.f32
4 072×*-lowering-*.f64
3 884×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037133
1240131
21953131
08114115
Stop Event
1×iter limit
1×node limit
Counts
17 → 551
Calls
Call 1
Inputs
(+ (* y (/ 480125098611044764748221188321/100000000000000000000000000000000 (- 692910599291889/10000000000000000 (/ 751220861604756070699018739433/10000000000000000000000000000000 z)))) x)
(/ 480125098611044764748221188321/100000000000000000000000000000000 (- 692910599291889/10000000000000000 (/ 751220861604756070699018739433/10000000000000000000000000000000 z)))
(- 692910599291889/10000000000000000 (/ 751220861604756070699018739433/10000000000000000000000000000000 z))
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
(* y 279195317918525/3350343815022304)
(/ 1 (/ 10000000000000000/692910599291889 y))
(/ 10000000000000000/692910599291889 y)
(/ (+ (* z (+ (* 692910599291889/10000000000000000 y) x)) (* y 751220861604756070699018739433/10000000000000000000000000000000)) z)
(+ (* z (+ (* 692910599291889/10000000000000000 y) x)) (* y 751220861604756070699018739433/10000000000000000000000000000000))
(+ (* 692910599291889/10000000000000000 y) x)
(* y 751220861604756070699018739433/10000000000000000000000000000000)
(/ 1 (/ (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (* y (+ (* z (+ (* 692910599291889/10000000000000000 z) 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(/ (+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (* y (+ (* z (+ (* 692910599291889/10000000000000000 z) 307332350656623/625000000000000)) 11167812716741/40000000000000)))
(+ (* z (+ z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)
(+ z 6012459259764103/1000000000000000)
(* y (+ (* z (+ (* 692910599291889/10000000000000000 z) 307332350656623/625000000000000)) 11167812716741/40000000000000))
(+ (* 692910599291889/10000000000000000 z) 307332350656623/625000000000000)
Outputs
(+.f64 (*.f64 y (/.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)))) x)
(+.f64 x (*.f64 y (/.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64)) (*.f64 y #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64))) (*.f64 (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)))) (-.f64 (*.f64 y (/.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y (/.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)))) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 y (/.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)))))) (/.f64 (/.f64 (*.f64 (*.f64 y #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64)) (*.f64 y #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64))) (*.f64 (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)))) (-.f64 x (*.f64 y (/.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)))))))
(fma.f64 y (/.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z))) x)
(fma.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z))) y) x)
(fma.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (/.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z))) x)
(fma.f64 (/.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z))) y x)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z))) (/.f64 y #s(literal 100000000000000000000000000000000/480125098611044764748221188321 binary64)) x)
(fma.f64 (*.f64 y #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z))) x)
(fma.f64 (/.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (-.f64 #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) (/.f64 #s(literal 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 z (*.f64 z z))))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z) (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64)))) x)
(fma.f64 (/.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (-.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (/.f64 #s(literal 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 z z)))) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)))) x)
(fma.f64 (/.f64 (*.f64 y #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64)) (-.f64 #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) (/.f64 #s(literal 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 z (*.f64 z z))))) (fma.f64 (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z) (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64)) x)
(fma.f64 (/.f64 (*.f64 y #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64)) (-.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (/.f64 #s(literal 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 z z)))) (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) x)
(fma.f64 (/.f64 y (-.f64 #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) (/.f64 #s(literal 423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 z (*.f64 z z))))) (/.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z) (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64)))) x)
(fma.f64 (/.f64 y (-.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (/.f64 #s(literal 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 z z)))) (/.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)))) x)
(fma.f64 (/.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z))) #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) x)
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -480125098611044764748221188321/100000000000000000000000000000000 binary64) (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z))) x)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 y (/.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z))))) (/.f64 (*.f64 (*.f64 y #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64)) (*.f64 y #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64))) (*.f64 (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z))))) (fma.f64 x (*.f64 x x) (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal 110678490697425871308449323144387990588420609595782468459764896371005709908743534603200161/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64)) (*.f64 (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) (*.f64 (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z))))))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 z z)) (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal -307332350656623/625000000000000 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 94453173760125479739253764129/390625000000000000000000000000 binary64) (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal -307332350656623/625000000000000 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 z z)) (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal -307332350656623/625000000000000 binary64))) (/.f64 (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 z z)) (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal -307332350656623/625000000000000 binary64))) (fma.f64 (/.f64 #s(literal 94453173760125479739253764129/390625000000000000000000000000 binary64) (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal -307332350656623/625000000000000 binary64))) (/.f64 #s(literal 94453173760125479739253764129/390625000000000000000000000000 binary64) (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal -307332350656623/625000000000000 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 z z)) (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal -307332350656623/625000000000000 binary64))) (/.f64 #s(literal 94453173760125479739253764129/390625000000000000000000000000 binary64) (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal -307332350656623/625000000000000 binary64)))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 z z) #s(literal 94453173760125479739253764129/390625000000000000000000000000 binary64)) (*.f64 z #s(literal 212953843275265618747988030847/6250000000000000000000000000000 binary64))) (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) #s(literal 29028515918677826297037119458939297513676367/244140625000000000000000000000000000000000000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal -307332350656623/625000000000000 binary64)) (fma.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 z z) #s(literal -94453173760125479739253764129/390625000000000000000000000000 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 z (*.f64 z z)) #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) #s(literal 29028515918677826297037119458939297513676367/244140625000000000000000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 z z) #s(literal 94453173760125479739253764129/390625000000000000000000000000 binary64)) (*.f64 z #s(literal 212953843275265618747988030847/6250000000000000000000000000000 binary64)))))
(*.f64 (fma.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 z z) #s(literal -94453173760125479739253764129/390625000000000000000000000000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal -307332350656623/625000000000000 binary64))))

simplify641.0ms (5.6%)

Memory
-31.8MiB live, 859.7MiB allocated
Algorithm
1×egg-herbie
Rules
17 230×accelerator-lowering-fma.f32
17 230×accelerator-lowering-fma.f64
5 560×+-lowering-+.f64
5 560×+-lowering-+.f32
4 826×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04123123
112312983
233952821
083822562
Stop Event
1×iter limit
1×node limit
Counts
324 → 324
Calls
Call 1
Inputs
x
(+ x (* 480125098611044764748221188321/100000000000000000000000000000000 (/ y (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))))
(+ x (* 480125098611044764748221188321/100000000000000000000000000000000 (/ y (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))))
(+ x (* 480125098611044764748221188321/100000000000000000000000000000000 (/ y (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))))
(* 480125098611044764748221188321/100000000000000000000000000000000 (/ y (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))))
(* y (+ (* 480125098611044764748221188321/100000000000000000000000000000000 (/ 1 (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))) (/ x y)))
(* y (+ (* 480125098611044764748221188321/100000000000000000000000000000000 (/ 1 (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))) (/ x y)))
(* y (+ (* 480125098611044764748221188321/100000000000000000000000000000000 (/ 1 (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))) (/ x y)))
(* 480125098611044764748221188321/100000000000000000000000000000000 (/ y (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))))
(* -1 (* y (- (* -1 (/ x y)) (* 480125098611044764748221188321/100000000000000000000000000000000 (/ 1 (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))))))
(* -1 (* y (- (* -1 (/ x y)) (* 480125098611044764748221188321/100000000000000000000000000000000 (/ 1 (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))))))
(* -1 (* y (- (* -1 (/ x y)) (* 480125098611044764748221188321/100000000000000000000000000000000 (/ 1 (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))))))
x
(+ x (* -160041699537014921582740396107/2504069538682520235663395798110 (* y z)))
(+ x (* z (+ (* -160041699537014921582740396107/2504069538682520235663395798110 y) (* -3696486331262848120733147479128771652409204100000000000000/62703642545576897068524151514589152838481934966500038795721 (* y z)))))
(+ x (* z (+ (* -160041699537014921582740396107/2504069538682520235663395798110 y) (* z (+ (* -3696486331262848120733147479128771652409204100000000000000/62703642545576897068524151514589152838481934966500038795721 y) (* -853778186356538738843070338010378282780166478298108691848300000000000000000000000000000/15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731 (* y z)))))))
(+ x (* 692910599291889/10000000000000000 y))
(+ x (+ (* 692910599291889/10000000000000000 y) (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))))
(+ x (+ (* 692910599291889/10000000000000000 y) (+ (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z)) (* 188110927636730691205572454543767458515445804899500116387163/2309701997639630000000000000000000000000000000000000000000000 (/ y (pow z 2))))))
(+ x (+ (* 692910599291889/10000000000000000 y) (+ (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z)) (+ (* 188110927636730691205572454543767458515445804899500116387163/2309701997639630000000000000000000000000000000000000000000000 (/ y (pow z 2))) (* 47104284378844916841903990424105893865239822267153852383042093886354306979400488814366193/533472331790049738609134653690000000000000000000000000000000000000000000000000000000000000 (/ y (pow z 3)))))))
(+ x (* 692910599291889/10000000000000000 y))
(+ x (+ (* 692910599291889/10000000000000000 y) (* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))))
(+ x (+ (* -1 (/ (+ (* -188110927636730691205572454543767458515445804899500116387163/2309701997639630000000000000000000000000000000000000000000000 (/ y z)) (* -751220861604756070699018739433/10000000000000000000000000000000 y)) z)) (* 692910599291889/10000000000000000 y)))
(+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* 188110927636730691205572454543767458515445804899500116387163/2309701997639630000000000000000000000000000000000000000000000 y) (* 47104284378844916841903990424105893865239822267153852383042093886354306979400488814366193/533472331790049738609134653690000000000000000000000000000000000000000000000000000000000000 (/ y z))) z)) (* -751220861604756070699018739433/10000000000000000000000000000000 y)) z)) (* 692910599291889/10000000000000000 y)))
(* 480125098611044764748221188321/100000000000000000000000000000000 (/ y (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))))
(+ x (* 480125098611044764748221188321/100000000000000000000000000000000 (/ y (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))))
(+ x (* 480125098611044764748221188321/100000000000000000000000000000000 (/ y (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))))
(+ x (* 480125098611044764748221188321/100000000000000000000000000000000 (/ y (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))))
x
(* x (+ 1 (* 480125098611044764748221188321/100000000000000000000000000000000 (/ y (* x (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))))))
(* x (+ 1 (* 480125098611044764748221188321/100000000000000000000000000000000 (/ y (* x (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))))))
(* x (+ 1 (* 480125098611044764748221188321/100000000000000000000000000000000 (/ y (* x (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))))))
x
(* -1 (* x (- (* -480125098611044764748221188321/100000000000000000000000000000000 (/ y (* x (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))))) 1)))
(* -1 (* x (- (* -480125098611044764748221188321/100000000000000000000000000000000 (/ y (* x (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))))) 1)))
(* -1 (* x (- (* -480125098611044764748221188321/100000000000000000000000000000000 (/ y (* x (- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))))) 1)))
(* -160041699537014921582740396107/2504069538682520235663395798110 z)
(* z (- (* -3696486331262848120733147479128771652409204100000000000000/62703642545576897068524151514589152838481934966500038795721 z) 160041699537014921582740396107/2504069538682520235663395798110))
(* z (- (* z (- (* -853778186356538738843070338010378282780166478298108691848300000000000000000000000000000/15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731 z) 3696486331262848120733147479128771652409204100000000000000/62703642545576897068524151514589152838481934966500038795721)) 160041699537014921582740396107/2504069538682520235663395798110))
(* z (- (* z (- (* z (- (* -197197318256883782045293390284022880676435948793227669139889539362202812900000000000000000000000000000000000000000000/3931746788483481172165326344768108943805269958963204279358207328721937781874449924622341652328675000958198107967909841 z) 853778186356538738843070338010378282780166478298108691848300000000000000000000000000000/15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731)) 3696486331262848120733147479128771652409204100000000000000/62703642545576897068524151514589152838481934966500038795721)) 160041699537014921582740396107/2504069538682520235663395798110))
692910599291889/10000000000000000
(+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))
(+ 692910599291889/10000000000000000 (+ (/ 188110927636730691205572454543767458515445804899500116387163/2309701997639630000000000000000000000000000000000000000000000 (pow z 2)) (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z))))
(+ 692910599291889/10000000000000000 (+ (/ 188110927636730691205572454543767458515445804899500116387163/2309701997639630000000000000000000000000000000000000000000000 (pow z 2)) (+ (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)) (* 47104284378844916841903990424105893865239822267153852383042093886354306979400488814366193/533472331790049738609134653690000000000000000000000000000000000000000000000000000000000000 (/ 1 (pow z 3))))))
692910599291889/10000000000000000
(+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))
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(+ 692910599291889/10000000000000000 (* -1 (/ (- (* -1 (/ (+ 188110927636730691205572454543767458515445804899500116387163/2309701997639630000000000000000000000000000000000000000000000 (* 47104284378844916841903990424105893865239822267153852383042093886354306979400488814366193/533472331790049738609134653690000000000000000000000000000000000000000000000000000000000000 (/ 1 z))) z)) 751220861604756070699018739433/10000000000000000000000000000000) z)))
(/ -751220861604756070699018739433/10000000000000000000000000000000 z)
(/ (- (* 692910599291889/10000000000000000 z) 751220861604756070699018739433/10000000000000000000000000000000) z)
(/ (- (* 692910599291889/10000000000000000 z) 751220861604756070699018739433/10000000000000000000000000000000) z)
(/ (- (* 692910599291889/10000000000000000 z) 751220861604756070699018739433/10000000000000000000000000000000) z)
692910599291889/10000000000000000
(- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))
(- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))
(- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))
692910599291889/10000000000000000
(- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))
(- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))
(- 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
(/ 751220861604756070699018739433/10000000000000000000000000000000 z)
(* 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)
(* 692910599291889/10000000000000000 y)
(* 692910599291889/10000000000000000 y)
(* 692910599291889/10000000000000000 y)
(* 692910599291889/10000000000000000 y)
(* 692910599291889/10000000000000000 y)
(* 692910599291889/10000000000000000 y)
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(* 692910599291889/10000000000000000 y)
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(/ 10000000000000000/692910599291889 y)
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(/ 10000000000000000/692910599291889 y)
(/ 10000000000000000/692910599291889 y)
(/ 10000000000000000/692910599291889 y)
(/ 10000000000000000/692910599291889 y)
(* 751220861604756070699018739433/10000000000000000000000000000000 (/ y z))
(/ (+ (* 751220861604756070699018739433/10000000000000000000000000000000 y) (* z (+ x (* 692910599291889/10000000000000000 y)))) z)
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(/ (+ (* 751220861604756070699018739433/10000000000000000000000000000000 y) (* z (+ x (* 692910599291889/10000000000000000 y)))) z)
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x
(+ x (* y (+ 692910599291889/10000000000000000 (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)))))
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(/ (* y (+ 751220861604756070699018739433/10000000000000000000000000000000 (* 692910599291889/10000000000000000 z))) z)
(* y (+ 692910599291889/10000000000000000 (+ (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)) (/ x y))))
(* y (+ 692910599291889/10000000000000000 (+ (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)) (/ x y))))
(* y (+ 692910599291889/10000000000000000 (+ (* 751220861604756070699018739433/10000000000000000000000000000000 (/ 1 z)) (/ x y))))
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(/ (+ (* 692910599291889/10000000000000000 (* y z)) (* 751220861604756070699018739433/10000000000000000000000000000000 y)) z)
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x
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x
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(* x z)
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(* x z)
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(* -1 (* x (+ (* -1 z) (* -1 (/ (+ (* 692910599291889/10000000000000000 (* y z)) (* 751220861604756070699018739433/10000000000000000000000000000000 y)) x)))))
x
(+ x (* 692910599291889/10000000000000000 y))
(+ x (* 692910599291889/10000000000000000 y))
(+ x (* 692910599291889/10000000000000000 y))
(* 692910599291889/10000000000000000 y)
(* y (+ 692910599291889/10000000000000000 (/ x y)))
(* y (+ 692910599291889/10000000000000000 (/ x y)))
(* y (+ 692910599291889/10000000000000000 (/ x y)))
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(* -1 (* y (- (* -1 (/ x y)) 692910599291889/10000000000000000)))
(* -1 (* y (- (* -1 (/ x y)) 692910599291889/10000000000000000)))
(* 692910599291889/10000000000000000 y)
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(+ x (* 692910599291889/10000000000000000 y))
(+ x (* 692910599291889/10000000000000000 y))
x
(* x (+ 1 (* 692910599291889/10000000000000000 (/ y x))))
(* x (+ 1 (* 692910599291889/10000000000000000 (/ y x))))
(* x (+ 1 (* 692910599291889/10000000000000000 (/ y x))))
x
(* -1 (* x (- (* -692910599291889/10000000000000000 (/ y x)) 1)))
(* -1 (* x (- (* -692910599291889/10000000000000000 (/ y x)) 1)))
(* -1 (* x (- (* -692910599291889/10000000000000000 (/ y x)) 1)))
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(* 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)
(* 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))
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(+ (* -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))))
(/ 3350343815022304/279195317918525 y)
(+ (* 155900051080628738716045985239/389750127738131234692690878125 (/ z y)) (* 3350343815022304/279195317918525 (/ 1 y)))
(+ (* z (+ (* -54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (/ z y)) (* 155900051080628738716045985239/389750127738131234692690878125 (/ 1 y)))) (* 3350343815022304/279195317918525 (/ 1 y)))
(+ (* z (+ (* z (- (* 119290279017840661005388637518195067609906756376454090785993/1519051620718896144731238710708768455317203651375836035156250 (/ z y)) (* 54926362148836417054593262229306108478309176/544082054113166395691471098236108147273828125 (/ 1 y)))) (* 155900051080628738716045985239/389750127738131234692690878125 (/ 1 y)))) (* 3350343815022304/279195317918525 (/ 1 y)))
(/ 10000000000000000/692910599291889 y)
(- (* 10000000000000000/692910599291889 (/ 1 y)) (* 2504069538682520235663395798110/160041699537014921582740396107 (/ 1 (* y z))))
(- (+ (* 10000000000000000/692910599291889 (/ 1 y)) (/ 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (* y (pow z 2)))) (/ 2504069538682520235663395798110/160041699537014921582740396107 (* y z)))
(- (+ (* 10000000000000000/692910599291889 (/ 1 y)) (* 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/ 1 (* y (pow z 2))))) (+ (* 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (/ 1 (* y (pow z 3)))) (/ 2504069538682520235663395798110/160041699537014921582740396107 (* y z))))
(/ 10000000000000000/692910599291889 y)
(- (* 10000000000000000/692910599291889 (/ 1 y)) (* 2504069538682520235663395798110/160041699537014921582740396107 (/ 1 (* y z))))
(+ (* -1 (/ (- (* 2504069538682520235663395798110/160041699537014921582740396107 (/ 1 y)) (* 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/ 1 (* y z)))) z)) (* 10000000000000000/692910599291889 (/ 1 y)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (/ 1 y)) (* 16786935706664028189662164809307809759746763248896955684846060/25613345590696162165292110140311348483404994348943260755449 (/ 1 (* y z)))) z)) (* 2504069538682520235663395798110/160041699537014921582740396107 (/ 1 y))) z)) (* 10000000000000000/692910599291889 (/ 1 y)))
(/ (+ 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))) (* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))))))
104698244219447/31250000000000
(+ 104698244219447/31250000000000 (* 6012459259764103/1000000000000000 z))
(+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))
(+ 104698244219447/31250000000000 (* z (+ 6012459259764103/1000000000000000 z)))
(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)))))
(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
(+ 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))))
(* 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)))
307332350656623/625000000000000
(+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))
(+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))
(+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))
(* 692910599291889/10000000000000000 z)
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))
(* 692910599291889/10000000000000000 z)
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))
Outputs
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(*.f64 y (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)))
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))
(*.f64 y (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)))
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))
(*.f64 y (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)))
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))
(*.f64 y (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)))
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))
(*.f64 y (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)))
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))
(*.f64 y (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)))
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))
(*.f64 y (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)))
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))
(*.f64 y (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)))
(* y (+ 11167812716741/40000000000000 (* z (+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z)))))
(*.f64 y (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)))
(* 11167812716741/40000000000000 y)
(*.f64 y #s(literal 11167812716741/40000000000000 binary64))
(+ (* 11167812716741/40000000000000 y) (* 307332350656623/625000000000000 (* y z)))
(*.f64 y (fma.f64 z #s(literal 307332350656623/625000000000000 binary64) #s(literal 11167812716741/40000000000000 binary64)))
(+ (* 11167812716741/40000000000000 y) (* z (+ (* 692910599291889/10000000000000000 (* y z)) (* 307332350656623/625000000000000 y))))
(*.f64 y (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)))
(+ (* 11167812716741/40000000000000 y) (* z (+ (* 692910599291889/10000000000000000 (* y z)) (* 307332350656623/625000000000000 y))))
(*.f64 y (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)))
(* 692910599291889/10000000000000000 (* y (pow z 2)))
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) (*.f64 y (*.f64 z z)))
(* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z))))
(*.f64 (*.f64 z z) (*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 307332350656623/625000000000000 binary64) z))))
(* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (+ (* 11167812716741/40000000000000 (/ y (pow z 2))) (* 307332350656623/625000000000000 (/ y z)))))
(*.f64 (*.f64 z z) (fma.f64 (/.f64 y z) (+.f64 #s(literal 307332350656623/625000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) z)) (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))))
(* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (+ (* 11167812716741/40000000000000 (/ y (pow z 2))) (* 307332350656623/625000000000000 (/ y z)))))
(*.f64 (*.f64 z z) (fma.f64 (/.f64 y z) (+.f64 #s(literal 307332350656623/625000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) z)) (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))))
(* 692910599291889/10000000000000000 (* y (pow z 2)))
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) (*.f64 y (*.f64 z z)))
(* (pow z 2) (+ (* 692910599291889/10000000000000000 y) (* 307332350656623/625000000000000 (/ y z))))
(*.f64 (*.f64 z z) (*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 307332350656623/625000000000000 binary64) 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 (fma.f64 (/.f64 y z) #s(literal -11167812716741/40000000000000 binary64) (*.f64 y #s(literal -307332350656623/625000000000000 binary64))) 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 (fma.f64 (/.f64 y z) #s(literal -11167812716741/40000000000000 binary64) (*.f64 y #s(literal -307332350656623/625000000000000 binary64))) z)))
307332350656623/625000000000000
#s(literal 307332350656623/625000000000000 binary64)
(+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64))
(+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64))
(+ 307332350656623/625000000000000 (* 692910599291889/10000000000000000 z))
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64))
(* 692910599291889/10000000000000000 z)
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) z)
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64))
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64))
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64))
(* 692910599291889/10000000000000000 z)
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) z)
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64))
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64))
(* z (+ 692910599291889/10000000000000000 (* 307332350656623/625000000000000 (/ 1 z))))
(fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64))

eval116.0ms (1%)

Memory
11.7MiB live, 280.2MiB allocated
Compiler

Compiled 19 044 to 2 239 computations (88.2% saved)

prune171.0ms (1.5%)

Memory
-12.8MiB live, 312.3MiB allocated
Pruning

18 alts after pruning (14 fresh and 4 done)

PrunedKeptTotal
New8678875
Fresh5611
Picked415
Done033
Total87618894
Accuracy
100.0%
Counts
894 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.3%
(fma.f64 z (fma.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) (*.f64 z (*.f64 y #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))) (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)))
61.8%
(fma.f64 y (fma.f64 z #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) #s(literal 279195317918525/3350343815022304 binary64)) x)
82.4%
(fma.f64 y (/.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) #s(literal 692910599291889/10000000000000000 binary64)) x)
76.4%
(fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) x)
✓82.6%
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)
17.6%
(/.f64 (fma.f64 z (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) (*.f64 y #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64))) z)
17.6%
(/.f64 (*.f64 y (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64))) z)
8.6%
(/.f64 (*.f64 y (*.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
23.3%
(/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
34.1%
(/.f64 y #s(literal 10000000000000000/692910599291889 binary64))
28.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3350343815022304/279195317918525 binary64) y))
23.5%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64) #s(literal 3350343815022304/279195317918525 binary64))))
35.7%
(*.f64 (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (/.f64 y (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))))
23.7%
(*.f64 y (fma.f64 #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) z #s(literal 279195317918525/3350343815022304 binary64)))
30.3%
(*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)))
✓28.8%
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
✓34.0%
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
✓50.7%
x
Compiler

Compiled 776 to 323 computations (58.4% saved)

regimes75.0ms (0.7%)

Memory
9.4MiB live, 164.4MiB allocated
Counts
46 → 2
Calls
Call 1
Inputs
x
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)
(fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) x)
(*.f64 y (fma.f64 #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) z #s(literal 279195317918525/3350343815022304 binary64)))
(/.f64 y #s(literal 10000000000000000/692910599291889 binary64))
(fma.f64 y (fma.f64 z #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) #s(literal 279195317918525/3350343815022304 binary64)) x)
(fma.f64 y (/.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) #s(literal 692910599291889/10000000000000000 binary64)) x)
(*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)))
(fma.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3350343815022304/279195317918525 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y))
(/.f64 (*.f64 y (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64))) z)
(fma.f64 x (/.f64 (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) x) x)
(fma.f64 (*.f64 x #s(literal 692910599291889/10000000000000000 binary64)) (/.f64 y x) x)
(neg.f64 (*.f64 x (fma.f64 (/.f64 y x) #s(literal -692910599291889/10000000000000000 binary64) #s(literal -1 binary64))))
(/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
(/.f64 (fma.f64 z (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) (*.f64 y #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64))) z)
(fma.f64 z (fma.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) (*.f64 z (*.f64 y #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))) (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)))
(fma.f64 (*.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x) (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)))
(/.f64 (fma.f64 y #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) (*.f64 (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) y x) z)) z)
(/.f64 (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) y x) (*.f64 y #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64))) z)
(fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) (fma.f64 z (fma.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) (*.f64 z (*.f64 y #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))) x))
(+.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))))
(fma.f64 y (/.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z))) x)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64) #s(literal 3350343815022304/279195317918525 binary64))))
(/.f64 (*.f64 y (*.f64 #s(literal 692910599291889/10000000000000000 binary64) (*.f64 z z))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
(/.f64 (*.f64 y (*.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
(*.f64 (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (/.f64 y (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))))
(/.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y))) (-.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))))
(fma.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (/.f64 y (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x)
(+.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 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)) (*.f64 y (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)))))
(fma.f64 y (/.f64 (-.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (/.f64 #s(literal 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 z z))) (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z))) x)
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)) (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))))))
(fma.f64 (*.f64 (-.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (/.f64 #s(literal 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 z z))) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z))) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x)))
(+.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 z (/.f64 #s(literal 1 binary64) (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)))) #s(literal 104698244219447/31250000000000 binary64))))
(+.f64 x (/.f64 (*.f64 z (fma.f64 z (*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 11167812716741/40000000000000 binary64) (*.f64 z z)))) (*.f64 y #s(literal 307332350656623/625000000000000 binary64)))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))
(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (/.f64 (fma.f64 (*.f64 z z) #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) #s(literal -94453173760125479739253764129/390625000000000000000000000000 binary64)) (fma.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 (fma.f64 z (*.f64 (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) (*.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)))) #s(literal -124720040876201995101661081/1600000000000000000000000000 binary64)) (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal -11167812716741/40000000000000 binary64)))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
(fma.f64 (*.f64 (-.f64 #s(literal 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 binary64) (/.f64 #s(literal -423938559409604251577135913816953044787158400404384671447378844977188762814604399329295737/1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 z (*.f64 z z)))) y) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z) (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64))) x)
(+.f64 x (/.f64 (*.f64 y (/.f64 (fma.f64 z (*.f64 (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) (*.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)))) #s(literal -124720040876201995101661081/1600000000000000000000000000 binary64)) (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal -11167812716741/40000000000000 binary64)))) (+.f64 (*.f64 (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) z) #s(literal 104698244219447/31250000000000 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x)))
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)
Calls

5 calls:

16.0ms
z
14.0ms
y
14.0ms
(+.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))))
13.0ms
(/.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)))
13.0ms
x
Results
AccuracySegmentsBranch
82.6%1x
85.3%2y
99.7%3z
99.6%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))))
99.6%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)

regimes26.0ms (0.2%)

Memory
16.4MiB live, 54.4MiB allocated
Counts
39 → 2
Calls
Call 1
Inputs
x
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)
(fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) x)
(*.f64 y (fma.f64 #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) z #s(literal 279195317918525/3350343815022304 binary64)))
(/.f64 y #s(literal 10000000000000000/692910599291889 binary64))
(fma.f64 y (fma.f64 z #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) #s(literal 279195317918525/3350343815022304 binary64)) x)
(fma.f64 y (/.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) #s(literal 692910599291889/10000000000000000 binary64)) x)
(*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)))
(fma.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3350343815022304/279195317918525 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y))
(/.f64 (*.f64 y (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64))) z)
(fma.f64 x (/.f64 (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) x) x)
(fma.f64 (*.f64 x #s(literal 692910599291889/10000000000000000 binary64)) (/.f64 y x) x)
(neg.f64 (*.f64 x (fma.f64 (/.f64 y x) #s(literal -692910599291889/10000000000000000 binary64) #s(literal -1 binary64))))
(/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
(/.f64 (fma.f64 z (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) (*.f64 y #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64))) z)
(fma.f64 z (fma.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) (*.f64 z (*.f64 y #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))) (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)))
(fma.f64 (*.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x) (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)))
(/.f64 (fma.f64 y #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) (*.f64 (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) y x) z)) z)
(/.f64 (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) y x) (*.f64 y #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64))) z)
(fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) (fma.f64 z (fma.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) (*.f64 z (*.f64 y #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))) x))
(+.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))))
(fma.f64 y (/.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z))) x)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64) #s(literal 3350343815022304/279195317918525 binary64))))
(/.f64 (*.f64 y (*.f64 #s(literal 692910599291889/10000000000000000 binary64) (*.f64 z z))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
(/.f64 (*.f64 y (*.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
(*.f64 (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (/.f64 y (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))))
(/.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y))) (-.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))))
(fma.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (/.f64 y (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x)
(+.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 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)) (*.f64 y (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)))))
(fma.f64 y (/.f64 (-.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (/.f64 #s(literal 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 z z))) (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z))) x)
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)) (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))))))
(fma.f64 (*.f64 (-.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (/.f64 #s(literal 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 binary64) (*.f64 z z))) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z))) x)
Outputs
(fma.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (/.f64 y (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x)
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)
Calls

2 calls:

13.0ms
(/.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)))
11.0ms
(+.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
99.0%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)))
99.0%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))))
Compiler

Compiled 46 to 35 computations (23.9% saved)

regimes34.0ms (0.3%)

Memory
-17.4MiB live, 64.7MiB allocated
Counts
33 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)
(fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) x)
(*.f64 y (fma.f64 #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) z #s(literal 279195317918525/3350343815022304 binary64)))
(/.f64 y #s(literal 10000000000000000/692910599291889 binary64))
(fma.f64 y (fma.f64 z #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) #s(literal 279195317918525/3350343815022304 binary64)) x)
(fma.f64 y (/.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) #s(literal 692910599291889/10000000000000000 binary64)) x)
(*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)))
(fma.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3350343815022304/279195317918525 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 10000000000000000/692910599291889 binary64) y))
(/.f64 (*.f64 y (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64))) z)
(fma.f64 x (/.f64 (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) x) x)
(fma.f64 (*.f64 x #s(literal 692910599291889/10000000000000000 binary64)) (/.f64 y x) x)
(neg.f64 (*.f64 x (fma.f64 (/.f64 y x) #s(literal -692910599291889/10000000000000000 binary64) #s(literal -1 binary64))))
(/.f64 (*.f64 y #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
(/.f64 (fma.f64 z (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) (*.f64 y #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64))) z)
(fma.f64 z (fma.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) (*.f64 z (*.f64 y #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))) (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)))
(fma.f64 (*.f64 (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) x) (/.f64 #s(literal 1 binary64) x) x)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)))
(/.f64 (fma.f64 y #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) (*.f64 (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) y x) z)) z)
(/.f64 (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) y x) (*.f64 y #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64))) z)
(fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) (fma.f64 z (fma.f64 y #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) (*.f64 z (*.f64 y #s(literal 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 binary64)))) x))
(+.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))))
(fma.f64 y (/.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z))) x)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) (fma.f64 z #s(literal 155900051080628738716045985239/389750127738131234692690878125 binary64) #s(literal 3350343815022304/279195317918525 binary64))))
(/.f64 (*.f64 y (*.f64 #s(literal 692910599291889/10000000000000000 binary64) (*.f64 z z))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
(/.f64 (*.f64 y (*.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
(*.f64 (fma.f64 z (fma.f64 #s(literal 692910599291889/10000000000000000 binary64) z #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (/.f64 y (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))))
(/.f64 (*.f64 y (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64))) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) (*.f64 y y))) (-.f64 x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))))
Outputs
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)
(fma.f64 y (fma.f64 z #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) #s(literal 279195317918525/3350343815022304 binary64)) x)
(fma.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) x)
Calls

3 calls:

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))))
11.0ms
z
9.0ms
(/.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)))
Results
AccuracySegmentsBranch
99.5%3z
93.9%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))))
94.1%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)

regimes4.0ms (0%)

Memory
9.8MiB live, 9.8MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)
(fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) x)
(*.f64 y (fma.f64 #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) z #s(literal 279195317918525/3350343815022304 binary64)))
(/.f64 y #s(literal 10000000000000000/692910599291889 binary64))
(fma.f64 y (fma.f64 z #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) #s(literal 279195317918525/3350343815022304 binary64)) x)
(fma.f64 y (/.f64 #s(literal 480125098611044764748221188321/100000000000000000000000000000000 binary64) #s(literal 692910599291889/10000000000000000 binary64)) x)
(*.f64 y (+.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal 751220861604756070699018739433/10000000000000000000000000000000 binary64) z)))
Outputs
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)
(fma.f64 y (fma.f64 z #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) #s(literal 279195317918525/3350343815022304 binary64)) x)
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)
Calls

1 calls:

4.0ms
z
Results
AccuracySegmentsBranch
99.4%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes3.0ms (0%)

Memory
8.1MiB live, 8.1MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)
(fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) x)
(*.f64 y (fma.f64 #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) z #s(literal 279195317918525/3350343815022304 binary64)))
(/.f64 y #s(literal 10000000000000000/692910599291889 binary64))
Outputs
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)
(fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) x)
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)
Calls

1 calls:

3.0ms
z
Results
AccuracySegmentsBranch
99.0%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes10.0ms (0.1%)

Memory
-11.4MiB live, 27.9MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)
Outputs
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
(fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)
Calls

4 calls:

3.0ms
(+.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))))
2.0ms
(/.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)))
2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
84.4%2y
82.6%1(+.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))))
86.4%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)))
82.6%1z
Compiler

Compiled 54 to 41 computations (24.1% saved)

regimes10.0ms (0.1%)

Memory
25.6MiB live, 25.6MiB allocated
Counts
3 → 5
Calls
Call 1
Inputs
x
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
Outputs
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
x
(*.f64 y #s(literal 279195317918525/3350343815022304 binary64))
(*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)
Calls

5 calls:

2.0ms
(/.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)))
2.0ms
(+.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))))
2.0ms
x
2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
63.5%4(+.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))))
63.4%4x
62.1%4z
66.9%4y
70.7%5(/.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)

regimes5.0ms (0%)

Memory
-29.0MiB live, 9.8MiB allocated
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

2 calls:

3.0ms
y
2.0ms
(/.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)))
Results
AccuracySegmentsBranch
65.1%3y
63.7%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 26 to 20 computations (23.1% saved)

regimes7.0ms (0.1%)

Memory
19.8MiB live, 19.8MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

5 calls:

1.0ms
(+.f64 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))))
1.0ms
(/.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)))
1.0ms
x
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
50.7%1z
50.7%1x
50.7%1(+.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))))
50.7%1(/.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)))
50.7%1y
Compiler

Compiled 58 to 44 computations (24.1% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.1649161236583037e+299
1.116746484699812e+302
Compiler

Compiled 27 to 24 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
Compiler

Compiled 27 to 24 computations (11.1% saved)

bsearch56.0ms (0.5%)

Memory
-19.0MiB live, 108.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
28.0ms
0.0009017924471024074
13.272367939528392
24.0ms
-3.2631007917114577e+49
-4.608801839021981e+47
Samples
43.0ms240×0valid
Compiler

Compiled 344 to 258 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
const: 15.0ms (46.7% of total)
ival-mult: 9.0ms (28% of total)
ival-add: 7.0ms (21.8% of total)
ival-div: 1.0ms (3.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch51.0ms (0.4%)

Memory
14.6MiB live, 99.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
24.0ms
0.0009017924471024074
13.272367939528392
22.0ms
-3.2631007917114577e+49
-4.608801839021981e+47
Samples
36.0ms240×0valid
Compiler

Compiled 312 to 234 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
const: 15.0ms (51% of total)
ival-mult: 8.0ms (27.2% of total)
ival-add: 5.0ms (17% of total)
ival-div: 1.0ms (3.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch73.0ms (0.6%)

Memory
9.3MiB live, 46.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
22.0ms
0.0009017924471024074
13.272367939528392
46.0ms
-3.2631007917114577e+49
-4.608801839021981e+47
Samples
60.0ms240×0valid
Compiler

Compiled 267 to 204 computations (23.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-mult: 32.0ms (59.9% of total)
const: 15.0ms (28.1% of total)
ival-add: 5.0ms (9.4% of total)
ival-div: 1.0ms (1.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch27.0ms (0.2%)

Memory
-34.7MiB live, 1.1MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
1.0ms
-5.025227441162139e+175
-2.8546854856629277e+161
0.0ms
-inf
-7.339533622030183e+306
Compiler

Compiled 27 to 24 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
4×left-value
Steps
TimeLeftRight
0.0ms
1.1649161236583037e+299
+inf
0.0ms
1.5964157027942002e+65
6.5320204965456024e+69
0.0ms
-596070.8033393042
-1.8107618408663122e-11
0.0ms
-inf
-7.339533622030183e+306
Compiler

Compiled 27 to 24 computations (11.1% saved)

bsearch46.0ms (0.4%)

Memory
23.0MiB live, 58.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
19.0ms
6.149595851721459e+111
1.4412778126772443e+112
22.0ms
-1.412878732176962e+141
-2.9502078590009476e+137
Samples
35.0ms208×0valid
Compiler

Compiled 183 to 154 computations (15.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
const: 13.0ms (45% of total)
ival-add: 10.0ms (34.6% of total)
ival-mult: 5.0ms (17.3% of total)
ival-div: 1.0ms (3.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify21.0ms (0.2%)

Memory
-21.9MiB live, 23.3MiB allocated
Algorithm
1×egg-herbie
Rules
18×*-commutative_binary64
18×+-commutative_binary64
8×sub-neg_binary64
6×neg-sub0_binary64
6×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
081327
1106327
2114327
3120327
4125327
5127327
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (+.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)))) #s(literal 200000000000000010500952051040884049740893716221631830983170823102360491597781639157274275016089572808740888766576775635388504647072086115128958436957341396569677440185315160747566046758957618011873790646994159989016223807793528176014930548556028498915851757764011368567623133894439277373091880108032 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x))) (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x))
(if (<=.f64 (+.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)))) #s(literal +inf.0 binary64)) (fma.f64 (fma.f64 z (fma.f64 z #s(literal 692910599291889/10000000000000000 binary64) #s(literal 307332350656623/625000000000000 binary64)) #s(literal 11167812716741/40000000000000 binary64)) (/.f64 y (fma.f64 z (+.f64 z #s(literal 6012459259764103/1000000000000000 binary64)) #s(literal 104698244219447/31250000000000 binary64))) x) (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x))
(if (<=.f64 z #s(literal -469999999999999963816799340961135569625698795520 binary64)) (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x) (if (<=.f64 z #s(literal 5 binary64)) (fma.f64 y (fma.f64 z #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) #s(literal 279195317918525/3350343815022304 binary64)) x) (fma.f64 y (-.f64 #s(literal 692910599291889/10000000000000000 binary64) (/.f64 #s(literal -751220861604756070699018739433/10000000000000000000000000000000 binary64) z)) x)))
(if (<=.f64 z #s(literal -469999999999999963816799340961135569625698795520 binary64)) (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x) (if (<=.f64 z #s(literal 5854679515581645/1125899906842624 binary64)) (fma.f64 y (fma.f64 z #s(literal -155900051080628738716045985239/56124018394291031809500087342080 binary64) #s(literal 279195317918525/3350343815022304 binary64)) x) (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)))
(if (<=.f64 z #s(literal -469999999999999963816799340961135569625698795520 binary64)) (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x) (if (<=.f64 z #s(literal 11/2 binary64)) (fma.f64 y #s(literal 279195317918525/3350343815022304 binary64) x) (fma.f64 y #s(literal 692910599291889/10000000000000000 binary64) x)))
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(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 -inf.0 binary64)) (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) (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 -500000 binary64)) (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) (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 199999999999999998418077252567267701645512243388460910731136598016 binary64)) x (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 200000000000000010500952051040884049740893716221631830983170823102360491597781639157274275016089572808740888766576775635388504647072086115128958436957341396569677440185315160747566046758957618011873790646994159989016223807793528176014930548556028498915851757764011368567623133894439277373091880108032 binary64)) (*.f64 y #s(literal 279195317918525/3350343815022304 binary64)) (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)))))
(if (<=.f64 y #s(literal -299999999999999996631349370956505844657797609252462712085600368591999716376660493175084569962091307301400642640991033721770306689796281466880 binary64)) (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) (if (<=.f64 y #s(literal 7400000000000000508161293967502093540268684272413443693833934408812279650874848043449321429009212317028950474752 binary64)) x (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)))
x
Outputs
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(if (<=.f64 y #s(literal -299999999999999996631349370956505844657797609252462712085600368591999716376660493175084569962091307301400642640991033721770306689796281466880 binary64)) (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y) (if (<=.f64 y #s(literal 7400000000000000508161293967502093540268684272413443693833934408812279650874848043449321429009212317028950474752 binary64)) x (*.f64 #s(literal 692910599291889/10000000000000000 binary64) y)))
(if (<=.f64 y #s(literal -299999999999999996631349370956505844657797609252462712085600368591999716376660493175084569962091307301400642640991033721770306689796281466880 binary64)) (*.f64 y #s(literal 692910599291889/10000000000000000 binary64)) (if (<=.f64 y #s(literal 7400000000000000508161293967502093540268684272413443693833934408812279650874848043449321429009212317028950474752 binary64)) x (*.f64 y #s(literal 692910599291889/10000000000000000 binary64))))
x

soundness1.2s (10.3%)

Memory
19.1MiB live, 652.9MiB allocated
Rules
12 724×accelerator-lowering-fma.f32
12 724×accelerator-lowering-fma.f64
8 458×accelerator-lowering-fma.f32
8 458×accelerator-lowering-fma.f64
7 940×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01880
111280
291080
0834767
05566016
117965707
263175613
085914921
02002113
16271962
219231764
372391764
082801543
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 534 to 227 computations (57.5% saved)

preprocess134.0ms (1.2%)

Memory
-4.2MiB live, 152.3MiB allocated
Compiler

Compiled 860 to 270 computations (68.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...