Numeric.SpecFunctions:invErfc from math-functions-0.1.5.2, A

Time bar (total: 9.4s)

analyze125.0ms (1.3%)

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
25%25%74.9%0.1%0%0%0%4
31.3%31.2%68.6%0.1%0%0%0%5
43.8%43.7%56.2%0.1%0%0%0%6
53.1%53%46.8%0.1%0%0%0%7
59.4%59.3%40.6%0.1%0%0%0%8
68%67.9%32%0.1%0%0%0%9
73.6%73.5%26.3%0.1%0%0%0%10
78.2%78.1%21.7%0.1%0%0%0%11
83.3%83.1%16.7%0.1%0%0%0%12
Compiler

Compiled 16 to 11 computations (31.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
...c/correct-round.rkt:119:19: 19.0ms (29.3% of total)
ival-mult: 17.0ms (26.2% of total)
ival-exp: 13.0ms (20.1% of total)
ival-sub: 5.0ms (7.7% of total)
ival-add: 5.0ms (7.7% of total)
ival-div: 4.0ms (6.2% of total)
const: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

sample1.2s (13.1%)

Results
941.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 551.0ms
ival-mult: 168.0ms (30.5% of total)
...c/correct-round.rkt:119:19: 146.0ms (26.5% of total)
ival-div: 68.0ms (12.3% of total)
ival-exp: 67.0ms (12.2% of total)
ival-add: 50.0ms (9.1% of total)
ival-sub: 41.0ms (7.4% of total)
const: 7.0ms (1.3% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess116.0ms (1.2%)

Algorithm
2×egg-herbie
Rules
2344×fnmadd-define
1618×fmsub-define
1604×fnmsub-define
1334×fmm-def
1328×sum3-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045121
1128113
2249111
3625110
41501110
53322110
65821110
77984110
01011
12011
23611
35511
48711
516211
630311
751211
873811
9123711
10184711
11207211
12210911
13223811
14224611
0224611
Stop Event
1×iter limit
1×saturated
1×node limit
Calls
Call 1
Inputs
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
Outputs
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Call 2
Inputs
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ (neg x) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* (neg x) y))))
(+ x (/ (neg y) (- (* 5641895835477563/5000000000000000 (exp z)) (* x (neg y)))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp (neg z))) (* x y))))
(neg (+ (neg x) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* (neg x) y)))))
(neg (+ x (/ (neg y) (- (* 5641895835477563/5000000000000000 (exp z)) (* x (neg y))))))
(neg (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp (neg z))) (* x y)))))
(+ y (/ x (- (* 5641895835477563/5000000000000000 (exp z)) (* y x))))
(+ z (/ y (- (* 5641895835477563/5000000000000000 (exp x)) (* z y))))
(+ x (/ z (- (* 5641895835477563/5000000000000000 (exp y)) (* x z))))
Outputs
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+ x (/ y (fnmsub (exp z) -5641895835477563/5000000000000000 (* x y))))
(+ (neg x) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* (neg x) y))))
(- (/ y (fma 5641895835477563/5000000000000000 (exp z) (* x y))) x)
(+ x (/ (neg y) (- (* 5641895835477563/5000000000000000 (exp z)) (* x (neg y)))))
(+ x (/ y (fnmsub 5641895835477563/5000000000000000 (exp z) (* x y))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp (neg z))) (* x y))))
(+ x (/ y (fnmsub x y (/ -5641895835477563/5000000000000000 (exp z)))))
(neg (+ (neg x) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* (neg x) y)))))
(+ x (/ y (fnmsub 5641895835477563/5000000000000000 (exp z) (* x y))))
(neg (+ x (/ (neg y) (- (* 5641895835477563/5000000000000000 (exp z)) (* x (neg y))))))
(- (/ y (fma 5641895835477563/5000000000000000 (exp z) (* x y))) x)
(neg (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp (neg z))) (* x y)))))
(- (/ y (fmsub x y (/ 5641895835477563/5000000000000000 (exp z)))) x)
(+ y (/ x (- (* 5641895835477563/5000000000000000 (exp z)) (* y x))))
(+ y (/ x (fnmsub (exp z) -5641895835477563/5000000000000000 (* x y))))
(+ z (/ y (- (* 5641895835477563/5000000000000000 (exp x)) (* z y))))
(+ z (/ y (fnmsub y z (* (exp x) -5641895835477563/5000000000000000))))
(+ x (/ z (- (* 5641895835477563/5000000000000000 (exp y)) (* x z))))
(+ x (/ z (fnmsub x z (* (exp y) -5641895835477563/5000000000000000))))

explain117.0ms (1.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
360-0-(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
20-0-(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
00-0-(exp.f64 z)
00-0-x
00-0-y
00-0-(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
00-0-(*.f64 x y)
00-0-z
00-0-#s(literal 5641895835477563/5000000000000000 binary64)
00-0-(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
Results
77.0ms512×0valid
Compiler

Compiled 109 to 32 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 12.0ms (32.2% of total)
...c/correct-round.rkt:119:19: 10.0ms (26.8% of total)
ival-div: 4.0ms (10.7% of total)
ival-exp: 4.0ms (10.7% of total)
ival-add: 4.0ms (10.7% of total)
ival-sub: 3.0ms (8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 15 to 10 computations (33.3% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶95.3%
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify48.0ms (0.5%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
✓cost-diff0
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
✓cost-diff0
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
✓cost-diff0
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Rules
694×fnmadd-define
434×fma-define
416×fmsub-define
408×fnmsub-define
388×sum3-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01040
12040
23640
35540
48740
516240
630340
751240
873840
9123740
10184740
11207240
12210940
13223840
14224640
0224640
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
x
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
y
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(* 5641895835477563/5000000000000000 (exp z))
5641895835477563/5000000000000000
(exp z)
z
(* x y)
Outputs
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
x
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
y
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(exp z)
(exp.f64 z)
z
(* x y)
(*.f64 x y)

localize49.0ms (0.5%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
✓accuracy100.0%
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
✓accuracy99.4%
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))
✓accuracy86.7%
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))
Results
35.0ms256×0valid
Compiler

Compiled 47 to 11 computations (76.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 9.0ms (43.3% of total)
...c/correct-round.rkt:119:19: 4.0ms (19.2% of total)
ival-div: 3.0ms (14.4% of total)
ival-exp: 2.0ms (9.6% of total)
ival-sub: 1.0ms (4.8% of total)
ival-add: 1.0ms (4.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series15.0ms (0.2%)

Counts
4 → 120
Calls
Call 1
Inputs
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
Outputs
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
#<alt (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))>
#<alt (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))>
#<alt (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))>
#<alt x>
#<alt (* x (- 1 (/ 1 (pow x 2))))>
#<alt (* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))>
#<alt (* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 (pow x 2)) 1)))>
#<alt (* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))>
#<alt x>
#<alt (+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))>
#<alt (+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))>
#<alt (+ x (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))>
#<alt (- x (/ 1 x))>
#<alt (- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))>
#<alt (- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))>
#<alt (- (+ x (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))>
#<alt (- x (/ 1 x))>
#<alt (- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))>
#<alt (- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y)))) y))) (/ 1 x))>
#<alt (- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y))) (/ 1 x))>
#<alt (+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))>
#<alt (+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))>
#<alt (+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))>
#<alt (+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))>
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))>
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
#<alt (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))>
#<alt (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))>
#<alt (* y (+ (* y (- (* y (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* (pow x 3) y) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow x 2) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))>
#<alt (/ -1 x)>
#<alt (- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))>
#<alt (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))>
#<alt (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))>
#<alt (/ -1 x)>
#<alt (- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))>
#<alt (- (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y))) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x))>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x))>
#<alt (/ y (- 5641895835477563/5000000000000000 (* x y)))>
#<alt (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))>
#<alt (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))>
#<alt (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))>
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
#<alt (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z))))>
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#<alt (/ -1 x)>
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#<alt (/ -1 x)>
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#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))>
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#<alt 5641895835477563/5000000000000000>
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#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))>
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#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
Calls

30 calls:

TimeVariablePointExpression
2.0ms
x
@0
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
1.0ms
z
@inf
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
1.0ms
y
@inf
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
1.0ms
z
@0
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
1.0ms
x
@0
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))

rewrite351.0ms (3.7%)

Algorithm
1×batch-egg-rewrite
Rules
4038×*-lowering-*.f32
4038×*-lowering-*.f64
2518×/-lowering-/.f32
2518×/-lowering-/.f64
2134×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01031
15931
251131
3694231
0839031
Stop Event
1×iter limit
1×node limit
Counts
4 → 270
Calls
Call 1
Inputs
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y))
(* 5641895835477563/5000000000000000 (exp z))
Outputs
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(+.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) x)
(+.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 y (+.f64 (*.f64 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) (neg.f64 (/.f64 (pow.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 2 binary64)) (+.f64 x (/.f64 y (+.f64 (*.f64 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))))
(-.f64 x (/.f64 y (+.f64 (*.f64 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 y (+.f64 (*.f64 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) (/.f64 (pow.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 2 binary64)) (+.f64 x (/.f64 y (+.f64 (*.f64 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))))
(-.f64 (/.f64 (pow.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 2 binary64)) (-.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) x)))
(fma.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) x)
(fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))) x)
(fma.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) y x)
(fma.f64 (/.f64 y (-.f64 (*.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (exp.f64 (*.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (*.f64 x y)))))) (+.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))) (*.f64 x (*.f64 y (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))) x)
(fma.f64 (/.f64 y (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))) (*.f64 x (*.f64 y (*.f64 x y))))) (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) x)
(neg.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) x) (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) y))))))
(neg.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 2 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 3 binary64)))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) x) (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) y)))))
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(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 3 binary64))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) x) (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) x) (-.f64 (pow.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 2 binary64))) (+.f64 x (/.f64 y (+.f64 (*.f64 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) x) (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) y)))))
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(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (pow.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 6 binary64))) (*.f64 (+.f64 x (/.f64 y (+.f64 (*.f64 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (pow.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 4 binary64)) (pow.f64 (/.f64 (*.f64 x y) (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) x))
(/.f64 (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (pow.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 4 binary64))) (*.f64 (+.f64 x (/.f64 y (+.f64 (*.f64 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (+.f64 (*.f64 x x) (pow.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x (/.f64 y (+.f64 (*.f64 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))) (*.f64 (+.f64 x (/.f64 y (+.f64 (*.f64 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (pow.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 2 binary64)))) (*.f64 (+.f64 x (/.f64 y (+.f64 (*.f64 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64))))) (+.f64 x (/.f64 y (+.f64 (*.f64 x y) (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x x)) (pow.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #s(literal 3 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) x) (/.f64 (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) y))))))
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(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))

simplify300.0ms (3.2%)

Algorithm
1×egg-herbie
Rules
4050×*-lowering-*.f32
4050×*-lowering-*.f64
2874×+-lowering-+.f64
2874×+-lowering-+.f32
2190×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03031821
19521782
230001681
085561681
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
Calls
Call 1
Inputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
x
(* x (- 1 (/ 1 (pow x 2))))
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
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x
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))
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(/ -1 x)
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(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x)
(/ -1 x)
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(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
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(* -1 (* x y))
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(* -1 (* x y))
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(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x))))
5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
(* 5641895835477563/5000000000000000 (exp z))
Outputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+.f64 x (*.f64 y (+.f64 (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)) (exp.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))) (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 (*.f64 #s(literal 2 binary64) z)))) (/.f64 (*.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 y (*.f64 y y))) x) (exp.f64 (+.f64 z (*.f64 #s(literal 2 binary64) z)))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))) (*.f64 x (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 (*.f64 #s(literal 2 binary64) z)))) (*.f64 x (+.f64 (/.f64 (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (exp.f64 z) #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 y (*.f64 y y))) (exp.f64 (+.f64 z (*.f64 #s(literal 2 binary64) z)))))))))
x
(* x (- 1 (/ 1 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 y y)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y)) (*.f64 x (*.f64 x x)))))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(*.f64 x (+.f64 (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y)) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
(*.f64 x (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 y (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y))) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
x
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))
(+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))) x)
(+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(+.f64 x (*.f64 y (+.f64 (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)) (exp.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)))))
(+ x (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(+.f64 x (*.f64 y (+.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) (*.f64 y (+.f64 (/.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 y (*.f64 x x))) (exp.f64 (+.f64 z (*.f64 #s(literal 2 binary64) z)))) (/.f64 (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 (*.f64 #s(literal 2 binary64) z))))))))
(- x (/ 1 x))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))
(+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x) y)) x))
(- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
(+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 y (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y))) x)) x))
(- (+ x (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))
(+.f64 (+.f64 x (*.f64 (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y))) (/.f64 (exp.f64 (+.f64 z (*.f64 #s(literal 2 binary64) z))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 y (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y))) x)) x))
(- x (/ 1 x))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))
(+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x) y)) x))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y)))) y))) (/ 1 x))
(+.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 y (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y))) x)) x))
(- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y))) (/ 1 x))
(+.f64 (+.f64 x (/.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 (/.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x) x) (/.f64 (+.f64 (/.f64 (*.f64 (exp.f64 (+.f64 z (*.f64 #s(literal 2 binary64) z))) #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64)) (*.f64 y (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 x (*.f64 x x)))) y)) y))
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(+.f64 (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(+.f64 (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (*.f64 z (-.f64 (/.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (*.f64 z (*.f64 (/.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal 5641895835477563/10000000000000000 binary64)))))))
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))
(+.f64 (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (*.f64 z (+.f64 (*.f64 z (-.f64 (*.f64 (+.f64 (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (/.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal 5641895835477563/10000000000000000 binary64)))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (*.f64 (/.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal 5641895835477563/30000000000000000 binary64)))) (-.f64 #s(literal 0 binary64) z)) (*.f64 (/.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (+.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal 5641895835477563/10000000000000000 binary64))))) (/.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x))))
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))))
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x))))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(*.f64 y (+.f64 (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)) (exp.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z))))
(* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(*.f64 y (+.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) (*.f64 y (+.f64 (/.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 y (*.f64 x x))) (exp.f64 (+.f64 z (*.f64 #s(literal 2 binary64) z)))) (/.f64 (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 (*.f64 #s(literal 2 binary64) z)))))))
(* y (+ (* y (- (* y (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* (pow x 3) y) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow x 2) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(*.f64 y (+.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) (*.f64 y (+.f64 (*.f64 y (+.f64 (/.f64 (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) (pow.f64 (exp.f64 z) #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 x x)) (exp.f64 (+.f64 z (*.f64 #s(literal 2 binary64) z)))))) (/.f64 (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 (*.f64 #s(literal 2 binary64) z)))))))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal -5641895835477563/5000000000000000 binary64)) x) y)) x)
(- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 y (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y))) x)) x)
(- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))
(+.f64 (*.f64 (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y))) (/.f64 (exp.f64 (+.f64 z (*.f64 #s(literal 2 binary64) z))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64)) (*.f64 y (*.f64 y x))) (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y))) x)) x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
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(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(* 5641895835477563/5000000000000000 (exp z))
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))

eval120.0ms (1.3%)

Compiler

Compiled 12867 to 1249 computations (90.3% saved)

prune56.0ms (0.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New37812390
Fresh000
Picked101
Done000
Total37912391
Accuracy
100.0%
Counts
391 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶74.0%
(+.f64 (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
64.5%
(+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))) x)
86.5%
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))))) (*.f64 x y))))
▶85.1%
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))) (*.f64 x y))))
85.3%
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
▶82.3%
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
▶96.3%
(+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))))
67.0%
(+.f64 x (/.f64 #s(literal -1 binary64) x))
50.3%
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))) (*.f64 x (*.f64 y (*.f64 x y))))) (*.f64 y (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))))
57.0%
(+.f64 x (*.f64 y (+.f64 (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)) (exp.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)))))
17.2%
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
▶69.6%
x
Compiler

Compiled 410 to 264 computations (35.6% saved)

simplify165.0ms (1.7%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
✓cost-diff0
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
✓cost-diff0
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
✓cost-diff384
(+.f64 (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
✓cost-diff0
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))))
✓cost-diff0
(-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))) (*.f64 x y))
✓cost-diff0
(/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))) (*.f64 x y)))
✓cost-diff0
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))) (*.f64 x y))))
✓cost-diff0
(*.f64 y x)
✓cost-diff0
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
✓cost-diff0
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
✓cost-diff0
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
✓cost-diff0
(-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y)
✓cost-diff128
(*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))
✓cost-diff128
(/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y)))
✓cost-diff128
(+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))))
Rules
2432×*-lowering-*.f32
2432×*-lowering-*.f64
1616×sum3-define
1060×fnmadd-define
980×fma-define
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
030256
179242
2196226
3466222
41147214
53382214
66712214
08063214
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ x (/ y (* x (- (/ (* (exp z) 5641895835477563/5000000000000000) x) y))))
x
(/ y (* x (- (/ (* (exp z) 5641895835477563/5000000000000000) x) y)))
y
(* x (- (/ (* (exp z) 5641895835477563/5000000000000000) x) y))
(- (/ (* (exp z) 5641895835477563/5000000000000000) x) y)
(/ (* (exp z) 5641895835477563/5000000000000000) x)
(* (exp z) 5641895835477563/5000000000000000)
(exp z)
z
5641895835477563/5000000000000000
x
(+ x (/ y (- 5641895835477563/5000000000000000 (* y x))))
x
(/ y (- 5641895835477563/5000000000000000 (* y x)))
y
(- 5641895835477563/5000000000000000 (* y x))
5641895835477563/5000000000000000
(* y x)
(+ x (/ y (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))) (* x y))))
x
(/ y (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))) (* x y)))
y
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))) (* x y))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000))))
5641895835477563/5000000000000000
(* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))
z
(+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000))
(* z 5641895835477563/10000000000000000)
5641895835477563/10000000000000000
(* x y)
(+ (+ x (/ y (- 5641895835477563/5000000000000000 (* y x)))) (/ (* -5641895835477563/5000000000000000 (* y z)) (* (- 5641895835477563/5000000000000000 (* y x)) (- 5641895835477563/5000000000000000 (* y x)))))
(+ x (/ y (- 5641895835477563/5000000000000000 (* y x))))
x
(/ y (- 5641895835477563/5000000000000000 (* y x)))
y
(- 5641895835477563/5000000000000000 (* y x))
5641895835477563/5000000000000000
(* y x)
(/ (* -5641895835477563/5000000000000000 (* y z)) (* (- 5641895835477563/5000000000000000 (* y x)) (- 5641895835477563/5000000000000000 (* y x))))
(* -5641895835477563/5000000000000000 (* y z))
-5641895835477563/5000000000000000
(* y z)
z
(* (- 5641895835477563/5000000000000000 (* y x)) (- 5641895835477563/5000000000000000 (* y x)))
Outputs
(+ x (/ y (* x (- (/ (* (exp z) 5641895835477563/5000000000000000) x) y))))
(+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))))
x
(/ y (* x (- (/ (* (exp z) 5641895835477563/5000000000000000) x) y)))
(/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))
y
(* x (- (/ (* (exp z) 5641895835477563/5000000000000000) x) y))
(-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y))
(- (/ (* (exp z) 5641895835477563/5000000000000000) x) y)
(-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y)
(/ (* (exp z) 5641895835477563/5000000000000000) x)
(/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x)
(* (exp z) 5641895835477563/5000000000000000)
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
(exp z)
(exp.f64 z)
z
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
x
(+ x (/ y (- 5641895835477563/5000000000000000 (* y x))))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))
x
(/ y (- 5641895835477563/5000000000000000 (* y x)))
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))
y
(- 5641895835477563/5000000000000000 (* y x))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(* y x)
(*.f64 x y)
(+ x (/ y (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))) (* x y))))
(+.f64 x (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))) (*.f64 x y)))))
x
(/ y (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))) (* x y)))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))) (*.f64 x y))))
y
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))) (* x y))
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))) (*.f64 x y)))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000))))
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))))
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))
(*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))
z
(+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000))
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))
(* z 5641895835477563/10000000000000000)
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))
5641895835477563/10000000000000000
#s(literal 5641895835477563/10000000000000000 binary64)
(* x y)
(*.f64 x y)
(+ (+ x (/ y (- 5641895835477563/5000000000000000 (* y x)))) (/ (* -5641895835477563/5000000000000000 (* y z)) (* (- 5641895835477563/5000000000000000 (* y x)) (- 5641895835477563/5000000000000000 (* y x)))))
(+.f64 x (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) (+.f64 (*.f64 x y) #s(literal -5641895835477563/5000000000000000 binary64)))) (/.f64 y (+.f64 (*.f64 x y) #s(literal -5641895835477563/5000000000000000 binary64)))))
(+ x (/ y (- 5641895835477563/5000000000000000 (* y x))))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))
x
(/ y (- 5641895835477563/5000000000000000 (* y x)))
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))
y
(- 5641895835477563/5000000000000000 (* y x))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(* y x)
(*.f64 x y)
(/ (* -5641895835477563/5000000000000000 (* y z)) (* (- 5641895835477563/5000000000000000 (* y x)) (- 5641895835477563/5000000000000000 (* y x))))
(/.f64 (*.f64 y (*.f64 z #s(literal -5641895835477563/5000000000000000 binary64))) (+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x (*.f64 y (+.f64 (*.f64 x y) #s(literal -5641895835477563/2500000000000000 binary64))))))
(* -5641895835477563/5000000000000000 (* y z))
(*.f64 y (*.f64 z #s(literal -5641895835477563/5000000000000000 binary64)))
-5641895835477563/5000000000000000
#s(literal -5641895835477563/5000000000000000 binary64)
(* y z)
(*.f64 y z)
z
(* (- 5641895835477563/5000000000000000 (* y x)) (- 5641895835477563/5000000000000000 (* y x)))
(+.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x (*.f64 y (+.f64 (*.f64 x y) #s(literal -5641895835477563/2500000000000000 binary64)))))

localize211.0ms (2.2%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z))
✓accuracy99.1%
(*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
✓accuracy88.8%
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
✓accuracy87.8%
(/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
✓accuracy99.7%
(*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))
✓accuracy99.7%
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))
✓accuracy98.6%
(-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))) (*.f64 x y))
✓accuracy86.4%
(/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))) (*.f64 x y)))
✓accuracy100.0%
(*.f64 y x)
✓accuracy100.0%
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
✓accuracy100.0%
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))
✓accuracy88.8%
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))
✓accuracy100.0%
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))
✓accuracy99.9%
(*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))
✓accuracy99.7%
(/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x)
✓accuracy86.7%
(/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y)))
Results
157.0ms256×0valid
Compiler

Compiled 261 to 31 computations (88.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
ival-add: 41.0ms (40.4% of total)
ival-exp: 19.0ms (18.7% of total)
ival-mult: 16.0ms (15.8% of total)
...c/correct-round.rkt:119:19: 12.0ms (11.8% of total)
ival-div: 9.0ms (8.9% of total)
ival-sub: 4.0ms (3.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series76.0ms (0.8%)

Counts
20 → 540
Calls
Call 1
Inputs
#<alt (+ x (/ y (* x (- (/ (* (exp z) 5641895835477563/5000000000000000) x) y))))>
#<alt (/ y (* x (- (/ (* (exp z) 5641895835477563/5000000000000000) x) y)))>
#<alt (* x (- (/ (* (exp z) 5641895835477563/5000000000000000) x) y))>
#<alt (- (/ (* (exp z) 5641895835477563/5000000000000000) x) y)>
#<alt (+ x (/ y (- 5641895835477563/5000000000000000 (* y x))))>
#<alt (/ y (- 5641895835477563/5000000000000000 (* y x)))>
#<alt (- 5641895835477563/5000000000000000 (* y x))>
#<alt (* y x)>
#<alt (+ x (/ y (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))) (* x y))))>
#<alt (/ y (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))) (* x y)))>
#<alt (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))) (* x y))>
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000))))>
#<alt (+ (+ x (/ y (- 5641895835477563/5000000000000000 (* y x)))) (/ (* -5641895835477563/5000000000000000 (* y z)) (* (- 5641895835477563/5000000000000000 (* y x)) (- 5641895835477563/5000000000000000 (* y x)))))>
#<alt (/ (* (exp z) 5641895835477563/5000000000000000) x)>
#<alt (* (exp z) 5641895835477563/5000000000000000)>
#<alt (* z 5641895835477563/10000000000000000)>
#<alt (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))>
#<alt (/ (* -5641895835477563/5000000000000000 (* y z)) (* (- 5641895835477563/5000000000000000 (* y x)) (- 5641895835477563/5000000000000000 (* y x))))>
#<alt (* (- 5641895835477563/5000000000000000 (* y x)) (- 5641895835477563/5000000000000000 (* y x)))>
#<alt (* -5641895835477563/5000000000000000 (* y z))>
Outputs
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
#<alt (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))>
#<alt (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))>
#<alt (+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))>
#<alt x>
#<alt (* x (- 1 (/ 1 (pow x 2))))>
#<alt (* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))>
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#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/5000000000000000 (exp z))>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* 5641895835477563/10000000000000000 z)>
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#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* 5641895835477563/5000000000000000 z)>
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#<alt (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))>
#<alt (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))>
#<alt (* 5641895835477563/10000000000000000 (pow z 2))>
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#<alt (* y (+ (* -5000000000000000/5641895835477563 z) (* y (+ (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x z)) (* y (+ (* 5641895835477563/5000000000000000 (* y (+ (* 6250000000000000000000000000000000000000000000000000000000000000000000000000000/5716435640373629036936327838135698990352533513761386655294448491685017549324043 (* (pow x 3) z)) (* 10000000000000000/5641895835477563 (* x (+ (* -2500000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 2) z)) (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 2) z)))))))) (* 5641895835477563/5000000000000000 (+ (* -2500000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 2) z)) (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 2) z))))))))))>
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#<alt (* -5000000000000000/5641895835477563 (* y z))>
#<alt (+ (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x (* (pow y 2) z))) (* -5000000000000000/5641895835477563 (* y z)))>
#<alt (+ (* -5000000000000000/5641895835477563 (* y z)) (* x (+ (* -50000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* 5641895835477563/5000000000000000 (* x (+ (* -2500000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 3) z)) (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 3) z))))))))>
#<alt (+ (* -5000000000000000/5641895835477563 (* y z)) (* x (+ (* -50000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* x (+ (* 5641895835477563/5000000000000000 (* x (+ (* 6250000000000000000000000000000000000000000000000000000000000000000000000000000/5716435640373629036936327838135698990352533513761386655294448491685017549324043 (* (pow y 4) z)) (* 10000000000000000/5641895835477563 (* y (+ (* -2500000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 3) z)) (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 3) z)))))))) (* 5641895835477563/5000000000000000 (+ (* -2500000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 3) z)) (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 3) z)))))))))>
#<alt (* -5641895835477563/5000000000000000 (/ z (* (pow x 2) y)))>
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#<alt (/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 (/ z (* x (pow y 2)))) (+ (* -5641895835477563/5000000000000000 (/ z y)) (+ (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow y 3))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 3)))) (pow x 2))) (* 5641895835477563/5000000000000000 (/ (+ (* 5641895835477563/2500000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow y 3))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 3)))) y)) (* 179587122125166574152748016388400639365587092547/62500000000000000000000000000000000000000000000 (/ z (pow y 4)))) (pow x 3)))))) (pow x 2))>
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#<alt (* (pow y 2) (+ (* -5641895835477563/2500000000000000 (/ x y)) (pow x 2)))>
#<alt (* (pow y 2) (+ (* -5641895835477563/2500000000000000 (/ x y)) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (pow y 2)) (pow x 2))))>
#<alt (* (pow y 2) (+ (* -5641895835477563/2500000000000000 (/ x y)) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (pow y 2)) (pow x 2))))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow y 2) (+ (* -5641895835477563/2500000000000000 (/ x y)) (pow x 2)))>
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#<alt 31830988618379068626528276418969/25000000000000000000000000000000>
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#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (+ (* -5641895835477563/2500000000000000 (/ y x)) (pow y 2)))>
#<alt (* (pow x 2) (+ (* -5641895835477563/2500000000000000 (/ y x)) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (pow x 2)) (pow y 2))))>
#<alt (* (pow x 2) (+ (* -5641895835477563/2500000000000000 (/ y x)) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (pow x 2)) (pow y 2))))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (+ (* -5641895835477563/2500000000000000 (/ y x)) (pow y 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 5641895835477563/2500000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 x))) x)) (pow y 2)))>
#<alt (* (pow x 2) (+ (* -1 (/ (- (* 5641895835477563/2500000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 x))) x)) (pow y 2)))>
#<alt (* -5641895835477563/5000000000000000 (* y z))>
#<alt (* -5641895835477563/5000000000000000 (* y z))>
#<alt (* -5641895835477563/5000000000000000 (* y z))>
#<alt (* -5641895835477563/5000000000000000 (* y z))>
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#<alt (* -5641895835477563/5000000000000000 (* y z))>
#<alt (* -5641895835477563/5000000000000000 (* y z))>
#<alt (* -5641895835477563/5000000000000000 (* y z))>
#<alt (* -5641895835477563/5000000000000000 (* y z))>
#<alt (* -5641895835477563/5000000000000000 (* y z))>
#<alt (* -5641895835477563/5000000000000000 (* y z))>
#<alt (* -5641895835477563/5000000000000000 (* y z))>
#<alt (* -5641895835477563/5000000000000000 (* y z))>
#<alt (* -5641895835477563/5000000000000000 (* y z))>
#<alt (* -5641895835477563/5000000000000000 (* y z))>
#<alt (* -5641895835477563/5000000000000000 (* y z))>
#<alt (* -5641895835477563/5000000000000000 (* y z))>
#<alt (* -5641895835477563/5000000000000000 (* y z))>
#<alt (* -5641895835477563/5000000000000000 (* y z))>
#<alt (* -5641895835477563/5000000000000000 (* y z))>
#<alt (* -5641895835477563/5000000000000000 (* y z))>
#<alt (* -5641895835477563/5000000000000000 (* y z))>
#<alt (* -5641895835477563/5000000000000000 (* y z))>
#<alt (* -5641895835477563/5000000000000000 (* y z))>
Calls

135 calls:

TimeVariablePointExpression
8.0ms
x
@0
(* x (- (/ (* (exp z) 5641895835477563/5000000000000000) x) y))
6.0ms
x
@-inf
(/ (* -5641895835477563/5000000000000000 (* y z)) (* (- 5641895835477563/5000000000000000 (* y x)) (- 5641895835477563/5000000000000000 (* y x))))
3.0ms
x
@inf
(/ (* -5641895835477563/5000000000000000 (* y z)) (* (- 5641895835477563/5000000000000000 (* y x)) (- 5641895835477563/5000000000000000 (* y x))))
3.0ms
x
@inf
(+ x (/ y (- 5641895835477563/5000000000000000 (* y x))))
3.0ms
y
@-inf
(/ (* -5641895835477563/5000000000000000 (* y z)) (* (- 5641895835477563/5000000000000000 (* y x)) (- 5641895835477563/5000000000000000 (* y x))))

rewrite340.0ms (3.6%)

Algorithm
1×batch-egg-rewrite
Rules
2904×*-lowering-*.f32
2904×*-lowering-*.f64
2718×fma-lowering-fma.f32
2718×fma-lowering-fma.f64
2198×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030189
1221176
22482166
08267166
Stop Event
1×iter limit
1×node limit
Counts
20 → 410
Calls
Call 1
Inputs
(+ x (/ y (* x (- (/ (* (exp z) 5641895835477563/5000000000000000) x) y))))
(/ y (* x (- (/ (* (exp z) 5641895835477563/5000000000000000) x) y)))
(* x (- (/ (* (exp z) 5641895835477563/5000000000000000) x) y))
(- (/ (* (exp z) 5641895835477563/5000000000000000) x) y)
(+ x (/ y (- 5641895835477563/5000000000000000 (* y x))))
(/ y (- 5641895835477563/5000000000000000 (* y x)))
(- 5641895835477563/5000000000000000 (* y x))
(* y x)
(+ x (/ y (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))) (* x y))))
(/ y (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))) (* x y)))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))) (* x y))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000))))
(+ (+ x (/ y (- 5641895835477563/5000000000000000 (* y x)))) (/ (* -5641895835477563/5000000000000000 (* y z)) (* (- 5641895835477563/5000000000000000 (* y x)) (- 5641895835477563/5000000000000000 (* y x)))))
(/ (* (exp z) 5641895835477563/5000000000000000) x)
(* (exp z) 5641895835477563/5000000000000000)
(* z 5641895835477563/10000000000000000)
(* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))
(/ (* -5641895835477563/5000000000000000 (* y z)) (* (- 5641895835477563/5000000000000000 (* y x)) (- 5641895835477563/5000000000000000 (* y x))))
(* (- 5641895835477563/5000000000000000 (* y x)) (- 5641895835477563/5000000000000000 (* y x)))
(* -5641895835477563/5000000000000000 (* y z))
Outputs
(+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))))
(+.f64 (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))))) (/.f64 (pow.f64 (/.f64 (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y)) y) #s(literal -2 binary64)) (-.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))))))
(fma.f64 y (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))) x)
(fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y)))) x)
(fma.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))) y x)
(fma.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y)) x)
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(*.f64 (*.f64 y z) #s(literal -5641895835477563/5000000000000000 binary64))
(*.f64 (*.f64 y #s(literal -5641895835477563/5000000000000000 binary64)) z)
(*.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) z) y)

simplify420.0ms (4.5%)

Algorithm
1×egg-herbie
Rules
5554×*-lowering-*.f32
5554×*-lowering-*.f64
4368×+-lowering-+.f64
4368×+-lowering-+.f32
1826×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
011848521
139648254
086308254
Stop Event
1×iter limit
1×node limit
Counts
540 → 540
Calls
Call 1
Inputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
x
(* x (- 1 (/ 1 (pow x 2))))
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (+ (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
x
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))
(+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(+ x (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(- x (/ 1 x))
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))
(- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
(- (+ x (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))
(- x (/ 1 x))
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y)))) y))) (/ 1 x))
(- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y))) (/ 1 x))
(+ x (/ y (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y))))
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (* (pow x 2) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 2)))) (/ y (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)))))
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (* (pow x 3) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 3)))) (* 5641895835477563/10000000000000000 (/ y (* (pow x 2) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 2))))))) (* 5641895835477563/5000000000000000 (/ y (* (pow x 2) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 2)))))) (/ y (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)))))
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (* (pow x 3) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 3)))) (* 5641895835477563/10000000000000000 (/ y (* (pow x 2) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 2))))) (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (* (pow x 3) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 3)))) (* 5641895835477563/30000000000000000 (/ y (* (pow x 2) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 2)))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (* (pow x 3) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 3)))) (* 5641895835477563/10000000000000000 (/ y (* (pow x 2) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 2))))))) (* 5641895835477563/5000000000000000 (/ y (* (pow x 2) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 2)))))) (/ y (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)))))
(+ x (/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))))
(+ x (/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))))
(+ x (/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))))
(+ x (/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))))
(+ x (/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))))
(+ x (/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))))
(+ x (/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))))
(+ x (/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(* y (+ (* y (- (* y (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* (pow x 3) y) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow x 2) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))
(/ -1 x)
(- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))
(- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
(- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))
(/ -1 x)
(- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))
(- (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y))) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x))
(- (* -1 (/ (- (* -1 (/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(/ -1 x)
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x)
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x)
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x)
(/ -1 x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) y))) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3))))) x))) x))) x))
(/ y (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)))
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (* (pow x 2) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 2)))) (/ y (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y))))
(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (* (pow x 3) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 3)))) (* 5641895835477563/10000000000000000 (/ y (* (pow x 2) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 2))))))) (* 5641895835477563/5000000000000000 (/ y (* (pow x 2) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 2)))))) (/ y (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y))))
(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (* (pow x 3) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 3)))) (* 5641895835477563/10000000000000000 (/ y (* (pow x 2) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 2))))) (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (* (pow x 3) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 3)))) (* 5641895835477563/30000000000000000 (/ y (* (pow x 2) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 2)))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (* (pow x 3) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 3)))) (* 5641895835477563/10000000000000000 (/ y (* (pow x 2) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 2))))))) (* 5641895835477563/5000000000000000 (/ y (* (pow x 2) (pow (- (* 5641895835477563/5000000000000000 (/ 1 x)) y) 2)))))) (/ y (* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y))))
(/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)))
(/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)))
(/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)))
(/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)))
(/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)))
(/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)))
(/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)))
(/ y (* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)))
(* 5641895835477563/5000000000000000 (exp z))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z)))
(* -1 (* x y))
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x))))
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x))))
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x))))
(* -1 (* x y))
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(* -1 (* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x)))))
(* -1 (* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x)))))
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(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y))
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(* 5641895835477563/5000000000000000 (exp z))
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(* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y))))
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(* -1 y)
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(* 5000000000000000/5641895835477563 y)
(+ (* 5000000000000000/5641895835477563 y) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
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x
(* x (- 1 (/ 1 (pow x 2))))
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x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
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x
(+ x (* 5000000000000000/5641895835477563 y))
(+ x (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))))
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(* 5000000000000000/5641895835477563 y)
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(* y (+ (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x (* y z))) (* -5000000000000000/5641895835477563 z)))
(* y (+ (* -5000000000000000/5641895835477563 z) (* y (+ (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x z)) (* 5641895835477563/5000000000000000 (* y (+ (* -2500000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 2) z)) (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 2) z)))))))))
(* y (+ (* -5000000000000000/5641895835477563 z) (* y (+ (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x z)) (* y (+ (* 5641895835477563/5000000000000000 (* y (+ (* 6250000000000000000000000000000000000000000000000000000000000000000000000000000/5716435640373629036936327838135698990352533513761386655294448491685017549324043 (* (pow x 3) z)) (* 10000000000000000/5641895835477563 (* x (+ (* -2500000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 2) z)) (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 2) z)))))))) (* 5641895835477563/5000000000000000 (+ (* -2500000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 2) z)) (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 2) z))))))))))
(* -5641895835477563/5000000000000000 (/ z (* (pow x 2) y)))
(/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 (/ z (* (pow x 3) y))) (* -5641895835477563/5000000000000000 (/ z (pow x 2)))) y)
(/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 (/ z (* (pow x 3) y))) (+ (* -5641895835477563/5000000000000000 (/ z (pow x 2))) (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow x 4))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 4)))) (pow y 2))))) y)
(/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 (/ z (* (pow x 3) y))) (+ (* -5641895835477563/5000000000000000 (/ z (pow x 2))) (+ (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow x 4))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 4)))) (pow y 2))) (* 5641895835477563/5000000000000000 (/ (+ (* 5641895835477563/2500000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow x 4))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 4)))) x)) (* 179587122125166574152748016388400639365587092547/62500000000000000000000000000000000000000000000 (/ z (pow x 5)))) (pow y 3)))))) y)
(* -5641895835477563/5000000000000000 (/ z (* (pow x 2) y)))
(* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ z (pow x 2))) (* 31830988618379068626528276418969/12500000000000000000000000000000 (/ z (* (pow x 3) y)))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 (/ z (pow x 3))) (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow x 4))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 4)))) y))) y)) (* 5641895835477563/5000000000000000 (/ z (pow x 2)))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 (/ z (pow x 3))) (* -1 (/ (+ (* -5641895835477563/5000000000000000 (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow x 4))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 4))))) (* 5641895835477563/5000000000000000 (/ (+ (* -179587122125166574152748016388400639365587092547/62500000000000000000000000000000000000000000000 (/ z (pow x 5))) (* -5641895835477563/2500000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow x 4))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow x 4)))) x))) y))) y))) y)) (* 5641895835477563/5000000000000000 (/ z (pow x 2)))) y))
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))
(* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))
(* -5000000000000000/5641895835477563 (* y z))
(+ (* -50000000000000000000000000000000/31830988618379068626528276418969 (* x (* (pow y 2) z))) (* -5000000000000000/5641895835477563 (* y z)))
(+ (* -5000000000000000/5641895835477563 (* y z)) (* x (+ (* -50000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* 5641895835477563/5000000000000000 (* x (+ (* -2500000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 3) z)) (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 3) z))))))))
(+ (* -5000000000000000/5641895835477563 (* y z)) (* x (+ (* -50000000000000000000000000000000/31830988618379068626528276418969 (* (pow y 2) z)) (* x (+ (* 5641895835477563/5000000000000000 (* x (+ (* 6250000000000000000000000000000000000000000000000000000000000000000000000000000/5716435640373629036936327838135698990352533513761386655294448491685017549324043 (* (pow y 4) z)) (* 10000000000000000/5641895835477563 (* y (+ (* -2500000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 3) z)) (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 3) z)))))))) (* 5641895835477563/5000000000000000 (+ (* -2500000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 3) z)) (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow y 3) z)))))))))
(* -5641895835477563/5000000000000000 (/ z (* (pow x 2) y)))
(/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 (/ z (* x (pow y 2)))) (* -5641895835477563/5000000000000000 (/ z y))) (pow x 2))
(/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 (/ z (* x (pow y 2)))) (+ (* -5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow y 3))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 3)))) (pow x 2))))) (pow x 2))
(/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 (/ z (* x (pow y 2)))) (+ (* -5641895835477563/5000000000000000 (/ z y)) (+ (* 5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow y 3))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 3)))) (pow x 2))) (* 5641895835477563/5000000000000000 (/ (+ (* 5641895835477563/2500000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow y 3))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 3)))) y)) (* 179587122125166574152748016388400639365587092547/62500000000000000000000000000000000000000000000 (/ z (pow y 4)))) (pow x 3)))))) (pow x 2))
(* -5641895835477563/5000000000000000 (/ z (* (pow x 2) y)))
(/ (+ (* -31830988618379068626528276418969/12500000000000000000000000000000 (/ z (* x (pow y 2)))) (* -5641895835477563/5000000000000000 (/ z y))) (pow x 2))
(/ (+ (* -5641895835477563/5000000000000000 (/ z y)) (* -1 (/ (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow y 3))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 3)))) x)) (* 31830988618379068626528276418969/12500000000000000000000000000000 (/ z (pow y 2)))) x))) (pow x 2))
(/ (+ (* -5641895835477563/5000000000000000 (/ z y)) (* -1 (/ (+ (* -1 (/ (+ (* -5641895835477563/5000000000000000 (/ (+ (* -179587122125166574152748016388400639365587092547/62500000000000000000000000000000000000000000000 (/ z (pow y 4))) (* -5641895835477563/2500000000000000 (/ (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow y 3))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 3)))) y))) x)) (* 5641895835477563/5000000000000000 (+ (* -31830988618379068626528276418969/6250000000000000000000000000000 (/ z (pow y 3))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ z (pow y 3)))))) x)) (* 31830988618379068626528276418969/12500000000000000000000000000000 (/ z (pow y 2)))) x))) (pow x 2))
31830988618379068626528276418969/25000000000000000000000000000000
(+ 31830988618379068626528276418969/25000000000000000000000000000000 (* -5641895835477563/2500000000000000 (* x y)))
(+ 31830988618379068626528276418969/25000000000000000000000000000000 (* y (+ (* -5641895835477563/2500000000000000 x) (* (pow x 2) y))))
(+ 31830988618379068626528276418969/25000000000000000000000000000000 (* y (+ (* -5641895835477563/2500000000000000 x) (* (pow x 2) y))))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -5641895835477563/2500000000000000 (/ x y)) (pow x 2)))
(* (pow y 2) (+ (* -5641895835477563/2500000000000000 (/ x y)) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (pow y 2)) (pow x 2))))
(* (pow y 2) (+ (* -5641895835477563/2500000000000000 (/ x y)) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (pow y 2)) (pow x 2))))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -5641895835477563/2500000000000000 (/ x y)) (pow x 2)))
(* (pow y 2) (+ (* -1 (/ (- (* 5641895835477563/2500000000000000 x) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 y))) y)) (pow x 2)))
(* (pow y 2) (+ (* -1 (/ (- (* 5641895835477563/2500000000000000 x) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 y))) y)) (pow x 2)))
31830988618379068626528276418969/25000000000000000000000000000000
(+ 31830988618379068626528276418969/25000000000000000000000000000000 (* -5641895835477563/2500000000000000 (* x y)))
(+ 31830988618379068626528276418969/25000000000000000000000000000000 (* x (+ (* -5641895835477563/2500000000000000 y) (* x (pow y 2)))))
(+ 31830988618379068626528276418969/25000000000000000000000000000000 (* x (+ (* -5641895835477563/2500000000000000 y) (* x (pow y 2)))))
(* (pow x 2) (pow y 2))
(* (pow x 2) (+ (* -5641895835477563/2500000000000000 (/ y x)) (pow y 2)))
(* (pow x 2) (+ (* -5641895835477563/2500000000000000 (/ y x)) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (pow x 2)) (pow y 2))))
(* (pow x 2) (+ (* -5641895835477563/2500000000000000 (/ y x)) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (pow x 2)) (pow y 2))))
(* (pow x 2) (pow y 2))
(* (pow x 2) (+ (* -5641895835477563/2500000000000000 (/ y x)) (pow y 2)))
(* (pow x 2) (+ (* -1 (/ (- (* 5641895835477563/2500000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 x))) x)) (pow y 2)))
(* (pow x 2) (+ (* -1 (/ (- (* 5641895835477563/2500000000000000 y) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 x))) x)) (pow y 2)))
(* -5641895835477563/5000000000000000 (* y z))
(* -5641895835477563/5000000000000000 (* y z))
(* -5641895835477563/5000000000000000 (* y z))
(* -5641895835477563/5000000000000000 (* y z))
(* -5641895835477563/5000000000000000 (* y z))
(* -5641895835477563/5000000000000000 (* y z))
(* -5641895835477563/5000000000000000 (* y z))
(* -5641895835477563/5000000000000000 (* y z))
(* -5641895835477563/5000000000000000 (* y z))
(* -5641895835477563/5000000000000000 (* y z))
(* -5641895835477563/5000000000000000 (* y z))
(* -5641895835477563/5000000000000000 (* y z))
(* -5641895835477563/5000000000000000 (* y z))
(* -5641895835477563/5000000000000000 (* y z))
(* -5641895835477563/5000000000000000 (* y z))
(* -5641895835477563/5000000000000000 (* y z))
(* -5641895835477563/5000000000000000 (* y z))
(* -5641895835477563/5000000000000000 (* y z))
(* -5641895835477563/5000000000000000 (* y z))
(* -5641895835477563/5000000000000000 (* y z))
(* -5641895835477563/5000000000000000 (* y z))
(* -5641895835477563/5000000000000000 (* y z))
(* -5641895835477563/5000000000000000 (* y z))
(* -5641895835477563/5000000000000000 (* y z))
Outputs
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 y y) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 (+.f64 z z))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) x) (*.f64 y (*.f64 y y))) (pow.f64 (exp.f64 z) #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 y y) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 (+.f64 z z)))))))
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2))))))
(+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 (/.f64 (*.f64 #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64) (*.f64 x (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (exp.f64 z) #s(literal 4 binary64))) (/.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 y (*.f64 y y))) (pow.f64 (exp.f64 z) #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 y y) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 (+.f64 z z)))))))
x
(* x (- 1 (/ 1 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2)))))
(*.f64 x (+.f64 (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (exp.f64 (+.f64 z z)) (*.f64 y y)))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1)))
(*.f64 (+.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y (*.f64 x (*.f64 x x)))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (+ (* -1 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* -5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))
(*.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) x) (/.f64 (exp.f64 (+.f64 z z)) (*.f64 y y))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z)) y)) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
x
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z))))
(+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))) x)
(+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(+.f64 x (*.f64 y (+.f64 (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)) (exp.f64 (+.f64 z z))) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)))))
(+ x (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))))
(+.f64 x (*.f64 y (+.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) (*.f64 y (+.f64 (/.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 y (*.f64 x x))) (pow.f64 (exp.f64 z) #s(literal 3 binary64))) (/.f64 (*.f64 x #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)) (exp.f64 (+.f64 z z))))))))
(- x (/ 1 x))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))
(+.f64 x (+.f64 (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y (*.f64 x x))) (/.f64 #s(literal -1 binary64) x)))
(- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)))
(+.f64 x (+.f64 (+.f64 (*.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x (*.f64 x x))) (/.f64 (exp.f64 (+.f64 z z)) (*.f64 y y))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y (*.f64 x x)))) (/.f64 #s(literal -1 binary64) x)))
(- (+ x (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x))))
(-.f64 (+.f64 x (*.f64 (/.f64 #s(literal -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 y (*.f64 y y))) (/.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))) (+.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x (*.f64 x x))) (/.f64 (exp.f64 (+.f64 z z)) (*.f64 y y))))))
(- x (/ 1 x))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x))
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(* -5641895835477563/5000000000000000 (* y z))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z))
(* -5641895835477563/5000000000000000 (* y z))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z))
(* -5641895835477563/5000000000000000 (* y z))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z))
(* -5641895835477563/5000000000000000 (* y z))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z))
(* -5641895835477563/5000000000000000 (* y z))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z))
(* -5641895835477563/5000000000000000 (* y z))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z))
(* -5641895835477563/5000000000000000 (* y z))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z))
(* -5641895835477563/5000000000000000 (* y z))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z))
(* -5641895835477563/5000000000000000 (* y z))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z))
(* -5641895835477563/5000000000000000 (* y z))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z))
(* -5641895835477563/5000000000000000 (* y z))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z))
(* -5641895835477563/5000000000000000 (* y z))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z))
(* -5641895835477563/5000000000000000 (* y z))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z))
(* -5641895835477563/5000000000000000 (* y z))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z))
(* -5641895835477563/5000000000000000 (* y z))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z))
(* -5641895835477563/5000000000000000 (* y z))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z))
(* -5641895835477563/5000000000000000 (* y z))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z))
(* -5641895835477563/5000000000000000 (* y z))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z))
(* -5641895835477563/5000000000000000 (* y z))
(*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z))

eval207.0ms (2.2%)

Compiler

Compiled 37692 to 2915 computations (92.3% saved)

prune145.0ms (1.5%)

Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New125881266
Fresh257
Picked325
Done000
Total1263151278
Accuracy
100.0%
Counts
1278 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶16.9%
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))))
64.5%
(+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))) x)
▶86.5%
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))))) (*.f64 x y))))
✓82.3%
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
73.4%
(+.f64 x (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))))))
82.3%
(+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))))
61.6%
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
67.0%
(+.f64 x (/.f64 #s(literal -1 binary64) x))
50.3%
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))) (*.f64 x (*.f64 y (*.f64 x y))))) (*.f64 y (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))))
85.1%
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))) (*.f64 x y)))) y))
▶55.1%
(+.f64 x (*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)))))
51.2%
(+.f64 x (*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)))))
▶17.2%
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
▶16.6%
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
✓69.6%
x
Compiler

Compiled 396 to 275 computations (30.6% saved)

simplify196.0ms (2.1%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(exp.f64 z)
✓cost-diff0
(/.f64 y (exp.f64 z))
✓cost-diff0
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
✓cost-diff0
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))
✓cost-diff0
(*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))
✓cost-diff0
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))))
✓cost-diff0
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))))
✓cost-diff0
(*.f64 z #s(literal -5000000000000000/5641895835477563 binary64))
✓cost-diff0
(+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)))
✓cost-diff0
(*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64))))
✓cost-diff0
(+.f64 x (*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)))))
✓cost-diff0
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
✓cost-diff0
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))))))
✓cost-diff0
(-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))))) (*.f64 x y))
✓cost-diff0
(/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))))) (*.f64 x y)))
✓cost-diff0
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))))) (*.f64 x y))))
Rules
1718×+-lowering-+.f64
1718×+-lowering-+.f32
1378×sum4-define
1300×fma-lowering-fma.f32
1300×fma-lowering-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031202
177174
2218171
3430171
4993171
53170171
64358171
77113171
08062171
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ x (/ y (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* z 5641895835477563/30000000000000000)))))) (* x y))))
x
(/ y (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* z 5641895835477563/30000000000000000)))))) (* x y)))
y
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* z 5641895835477563/30000000000000000)))))) (* x y))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* z 5641895835477563/30000000000000000))))))
5641895835477563/5000000000000000
(* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* z 5641895835477563/30000000000000000)))))
z
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* z 5641895835477563/30000000000000000))))
(* z (+ 5641895835477563/10000000000000000 (* z 5641895835477563/30000000000000000)))
(+ 5641895835477563/10000000000000000 (* z 5641895835477563/30000000000000000))
5641895835477563/10000000000000000
(* z 5641895835477563/30000000000000000)
5641895835477563/30000000000000000
(* x y)
(* 5000000000000000/5641895835477563 y)
5000000000000000/5641895835477563
y
(+ x (* y (+ 5000000000000000/5641895835477563 (* z -5000000000000000/5641895835477563))))
x
(* y (+ 5000000000000000/5641895835477563 (* z -5000000000000000/5641895835477563)))
y
(+ 5000000000000000/5641895835477563 (* z -5000000000000000/5641895835477563))
5000000000000000/5641895835477563
(* z -5000000000000000/5641895835477563)
z
-5000000000000000/5641895835477563
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))))
y
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000))))
5641895835477563/5000000000000000
(* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))
z
(+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000))
(* z 5641895835477563/10000000000000000)
5641895835477563/10000000000000000
(* 5000000000000000/5641895835477563 (/ y (exp z)))
5000000000000000/5641895835477563
(/ y (exp z))
y
(exp z)
z
Outputs
(+ x (/ y (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* z 5641895835477563/30000000000000000)))))) (* x y))))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (+.f64 (*.f64 x y) (*.f64 z (+.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 (*.f64 z #s(literal -5641895835477563/30000000000000000 binary64)) #s(literal -5641895835477563/10000000000000000 binary64)))))))))
x
(/ y (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* z 5641895835477563/30000000000000000)))))) (* x y)))
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (+.f64 (*.f64 x y) (*.f64 z (+.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 (*.f64 z #s(literal -5641895835477563/30000000000000000 binary64)) #s(literal -5641895835477563/10000000000000000 binary64))))))))
y
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* z 5641895835477563/30000000000000000)))))) (* x y))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (+.f64 (*.f64 x y) (*.f64 z (+.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 (*.f64 z #s(literal -5641895835477563/30000000000000000 binary64)) #s(literal -5641895835477563/10000000000000000 binary64)))))))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* z 5641895835477563/30000000000000000))))))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 (*.f64 z #s(literal -5641895835477563/30000000000000000 binary64)) #s(literal -5641895835477563/10000000000000000 binary64))))))
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* z 5641895835477563/30000000000000000)))))
(*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))))
z
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* z 5641895835477563/30000000000000000))))
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))))
(* z (+ 5641895835477563/10000000000000000 (* z 5641895835477563/30000000000000000)))
(*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))
(+ 5641895835477563/10000000000000000 (* z 5641895835477563/30000000000000000))
(+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))
5641895835477563/10000000000000000
#s(literal 5641895835477563/10000000000000000 binary64)
(* z 5641895835477563/30000000000000000)
(*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))
5641895835477563/30000000000000000
#s(literal 5641895835477563/30000000000000000 binary64)
(* x y)
(*.f64 x y)
(* 5000000000000000/5641895835477563 y)
(*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))
5000000000000000/5641895835477563
#s(literal 5000000000000000/5641895835477563 binary64)
y
(+ x (* y (+ 5000000000000000/5641895835477563 (* z -5000000000000000/5641895835477563))))
(+.f64 x (*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)))))
x
(* y (+ 5000000000000000/5641895835477563 (* z -5000000000000000/5641895835477563)))
(*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64))))
y
(+ 5000000000000000/5641895835477563 (* z -5000000000000000/5641895835477563))
(+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)))
5000000000000000/5641895835477563
#s(literal 5000000000000000/5641895835477563 binary64)
(* z -5000000000000000/5641895835477563)
(*.f64 z #s(literal -5000000000000000/5641895835477563 binary64))
z
-5000000000000000/5641895835477563
#s(literal -5000000000000000/5641895835477563 binary64)
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))))
y
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000))))
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))))
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))
(*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))
z
(+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000))
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))
(* z 5641895835477563/10000000000000000)
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))
5641895835477563/10000000000000000
#s(literal 5641895835477563/10000000000000000 binary64)
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(*.f64 y (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)))
5000000000000000/5641895835477563
#s(literal 5000000000000000/5641895835477563 binary64)
(/ y (exp z))
(/.f64 y (exp.f64 z))
y
(exp z)
(exp.f64 z)
z

localize253.0ms (2.7%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(exp.f64 z)
✓accuracy100.0%
(/.f64 y (exp.f64 z))
✓accuracy99.7%
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
✓accuracy100.0%
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))))
✓accuracy99.7%
(*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))
✓accuracy99.7%
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))
✓accuracy97.6%
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))))
✓accuracy100.0%
(+.f64 x (*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)))))
✓accuracy100.0%
(+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)))
✓accuracy99.7%
(*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64))))
✓accuracy99.5%
(*.f64 z #s(literal -5000000000000000/5641895835477563 binary64))
✓accuracy99.6%
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
✓accuracy99.8%
(*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))))
✓accuracy99.8%
(*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))
✓accuracy99.3%
(-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))))) (*.f64 x y))
✓accuracy91.2%
(/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))))) (*.f64 x y)))
Results
108.0ms61×0unsamplable
87.0ms195×0valid
Compiler

Compiled 206 to 32 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
...c/correct-round.rkt:119:19: 27.0ms (43.3% of total)
ival-mult: 18.0ms (28.8% of total)
ival-add: 9.0ms (14.4% of total)
ival-div: 5.0ms (8% of total)
ival-exp: 2.0ms (3.2% of total)
ival-sub: 1.0ms (1.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series34.0ms (0.4%)

Counts
19 → 372
Calls
Call 1
Inputs
#<alt (+ x (/ y (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* z 5641895835477563/30000000000000000)))))) (* x y))))>
#<alt (/ y (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* z 5641895835477563/30000000000000000)))))) (* x y)))>
#<alt (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* z 5641895835477563/30000000000000000)))))) (* x y))>
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* z 5641895835477563/30000000000000000))))))>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (+ x (* y (+ 5000000000000000/5641895835477563 (* z -5000000000000000/5641895835477563))))>
#<alt (* y (+ 5000000000000000/5641895835477563 (* z -5000000000000000/5641895835477563)))>
#<alt (+ 5000000000000000/5641895835477563 (* z -5000000000000000/5641895835477563))>
#<alt (* z -5000000000000000/5641895835477563)>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))))>
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000))))>
#<alt (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))>
#<alt (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000))>
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
#<alt (/ y (exp z))>
#<alt (exp z)>
#<alt (* z (+ 5641895835477563/10000000000000000 (* z 5641895835477563/30000000000000000)))>
#<alt (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* z 5641895835477563/30000000000000000)))))>
#<alt (* z 5641895835477563/10000000000000000)>
Outputs
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))>
#<alt (+ (* x (- 1 (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))))>
#<alt (+ (* x (- (+ 1 (/ (* x (pow y 3)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 3))) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))))>
#<alt (+ (* x (- (+ 1 (* x (- (/ (* x (pow y 4)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 4)) (* -1 (/ (pow y 3) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 3)))))) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))))>
#<alt x>
#<alt (* x (- 1 (/ 1 (pow x 2))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y)) (pow x 3)))) (/ 1 (pow x 2))))>
#<alt (* x (- (+ 1 (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y))) (* (pow x 4) y)))) (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (/ 1 (pow x 2)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* (pow x 3) y))))))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 (pow x 2)) 1)))>
#<alt (* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (/ 1 (pow x 2)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* (pow x 3) y)))) 1)))>
#<alt (* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y))) (* x y))) (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y))) (pow x 3))) (/ 1 (pow x 2))) 1)))>
#<alt x>
#<alt (+ x (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))))>
#<alt (+ x (* y (+ (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) (/ (* x y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2)))))>
#<alt (+ x (* y (+ (* y (- (/ (* (pow x 2) y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 3)) (* -1 (/ x (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))) (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))))))>
#<alt (- x (/ 1 x))>
#<alt (- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2))) y))) (/ 1 x))>
#<alt (- (+ x (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)))) (* x (pow y 2))))) (+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* (pow x 2) y)))))>
#<alt (- (+ x (* -1 (/ (* (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)))) (* (pow x 2) (pow y 3))))) (+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (+ (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* (pow x 2) y)) (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)))) (* x (pow y 2)))))))>
#<alt (- x (/ 1 x))>
#<alt (- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2))) y))) (/ 1 x))>
#<alt (- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (+ (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)) (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)))) (* x y)))) y))) (/ 1 x))>
#<alt (- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)))) x)) (* -1 (/ (* (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)))) (* (pow x 2) y)))) y)) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)))) y))) (/ 1 x))>
#<alt (+ x (/ y (- 5641895835477563/5000000000000000 (* x y))))>
#<alt (+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))>
#<alt (+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))>
#<alt (+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))))>
#<alt x>
#<alt (+ x (* 30000000000000000/5641895835477563 (/ y (pow z 3))))>
#<alt (+ x (+ (* -90000000000000000/5641895835477563 (/ y (pow z 4))) (* 30000000000000000/5641895835477563 (/ y (pow z 3)))))>
#<alt (- (+ x (+ (* -1 (/ (+ (* -270000000000000000/5641895835477563 y) (* 180000000000000000/5641895835477563 y)) (pow z 5))) (* 30000000000000000/5641895835477563 (/ y (pow z 3))))) (* 90000000000000000/5641895835477563 (/ y (pow z 4))))>
#<alt x>
#<alt (+ x (* 30000000000000000/5641895835477563 (/ y (pow z 3))))>
#<alt (+ x (* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* 90000000000000000/5641895835477563 (/ y z))) (pow z 3))))>
#<alt (+ x (* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* -1 (/ (- (+ (* -180000000000000000/5641895835477563 (/ y z)) (* 270000000000000000/5641895835477563 (/ y z))) (* 90000000000000000/5641895835477563 y)) z))) (pow z 3))))>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))>
#<alt (* y (+ (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) (/ (* x y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))>
#<alt (* y (+ (* y (- (/ (* (pow x 2) y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 3)) (* -1 (/ x (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))) (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))))>
#<alt (* y (+ (* y (- (* y (- (/ (* (pow x 3) y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 4)) (* -1 (/ (pow x 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 3))))) (* -1 (/ x (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))) (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))))>
#<alt (/ -1 x)>
#<alt (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2))) y)) (/ 1 x))>
#<alt (- (* -1 (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)))) (* x (pow y 2)))) (+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* (pow x 2) y)))))>
#<alt (- (* -1 (/ (* (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)))) (* (pow x 2) (pow y 3)))) (+ (/ 1 x) (+ (/ 5641895835477563/5000000000000000 (* (pow x 2) y)) (+ (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (* (pow x 2) y)) (/ (* (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) (pow x 2)))) (* x (pow y 2)))))))>
#<alt (/ -1 x)>
#<alt (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* (pow x 2) y))) (/ 1 x))>
#<alt (- (* -1 (/ (- (/ (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2) (* (pow x 3) y)) (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (pow x 2)))) y)) (/ 1 x))>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 3) (* (pow x 4) y))) (/ (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2) (pow x 3))) y)) (* -1 (/ (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (pow x 2)))) y)) (/ 1 x))>
#<alt (/ y (- 5641895835477563/5000000000000000 (* x y)))>
#<alt (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))>
#<alt (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))>
#<alt (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))>
#<alt (* 30000000000000000/5641895835477563 (/ y (pow z 3)))>
#<alt (/ (+ (* -90000000000000000/5641895835477563 (/ y z)) (* 30000000000000000/5641895835477563 y)) (pow z 3))>
#<alt (/ (- (+ (* -1 (/ (+ (* -270000000000000000/5641895835477563 y) (* 180000000000000000/5641895835477563 y)) (pow z 2))) (* 30000000000000000/5641895835477563 y)) (* 90000000000000000/5641895835477563 (/ y z))) (pow z 3))>
#<alt (/ (- (+ (* -1 (/ (+ (* -540000000000000000/5641895835477563 y) (+ (* -3 (+ (* -270000000000000000/5641895835477563 y) (* 180000000000000000/5641895835477563 y))) (* 900000000000000000000000000000000/31830988618379068626528276418969 (* y (- 5641895835477563/5000000000000000 (* x y)))))) (pow z 3))) (* 30000000000000000/5641895835477563 y)) (+ (* -270000000000000000/5641895835477563 (/ y (pow z 2))) (+ (* 90000000000000000/5641895835477563 (/ y z)) (* 180000000000000000/5641895835477563 (/ y (pow z 2)))))) (pow z 3))>
#<alt (* 30000000000000000/5641895835477563 (/ y (pow z 3)))>
#<alt (* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* 90000000000000000/5641895835477563 (/ y z))) (pow z 3)))>
#<alt (* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* -1 (/ (- (+ (* -180000000000000000/5641895835477563 (/ y z)) (* 270000000000000000/5641895835477563 (/ y z))) (* 90000000000000000/5641895835477563 y)) z))) (pow z 3)))>
#<alt (* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* -1 (/ (- (* -1 (/ (- (+ (* -540000000000000000/5641895835477563 (/ y z)) (+ (* 3 (/ (+ (* -180000000000000000/5641895835477563 y) (* 270000000000000000/5641895835477563 y)) z)) (* 900000000000000000000000000000000/31830988618379068626528276418969 (/ (* y (- 5641895835477563/5000000000000000 (* x y))) z)))) (+ (* -180000000000000000/5641895835477563 y) (* 270000000000000000/5641895835477563 y))) z)) (* 90000000000000000/5641895835477563 y)) z))) (pow z 3)))>
#<alt (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))>
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#<alt (+ (* 5000000000000000/5641895835477563 y) (* z (- (* -1 (* z (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y)))) (* 5000000000000000/5641895835477563 y))))>
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#<alt (* 10000000000000000/5641895835477563 (/ y (pow z 2)))>
#<alt (/ (+ (* -20000000000000000/5641895835477563 (/ y z)) (* 10000000000000000/5641895835477563 y)) (pow z 2))>
#<alt (/ (- (+ (* -1 (/ (+ (* -40000000000000000/5641895835477563 y) (* 20000000000000000/5641895835477563 y)) (pow z 2))) (* 10000000000000000/5641895835477563 y)) (* 20000000000000000/5641895835477563 (/ y z))) (pow z 2))>
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#<alt (* 10000000000000000/5641895835477563 (/ y (pow z 2)))>
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#<alt (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -40000000000000000/5641895835477563 y) (* 20000000000000000/5641895835477563 y)) z)) (* 40000000000000000/5641895835477563 (/ y z))) (+ (* -40000000000000000/5641895835477563 y) (* 20000000000000000/5641895835477563 y))) z)) (* -20000000000000000/5641895835477563 y)) z)) (* 10000000000000000/5641895835477563 y)) (pow z 2))>
#<alt 5641895835477563/5000000000000000>
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#<alt (* 5641895835477563/10000000000000000 (pow z 2))>
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#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))>
#<alt (* 5641895835477563/5000000000000000 z)>
#<alt (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))>
#<alt (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))>
#<alt (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))>
#<alt (* 5641895835477563/10000000000000000 (pow z 2))>
#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
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#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt 5641895835477563/5000000000000000>
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))>
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))>
#<alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))>
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))>
#<alt (+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* -5000000000000000/5641895835477563 (* z (+ (* -1 y) (* 1/2 y)))))))>
#<alt (+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 (* z (+ (* -1 (+ (* -1 y) (* 1/2 y))) (+ (* -1/2 y) (* 1/6 y))))) (* -5000000000000000/5641895835477563 (+ (* -1 y) (* 1/2 y))))))))>
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
#<alt (* 5000000000000000/5641895835477563 (/ y (exp z)))>
#<alt (/ y (exp z))>
#<alt (/ y (exp z))>
#<alt (/ y (exp z))>
#<alt (/ y (exp z))>
#<alt (/ y (exp z))>
#<alt (/ y (exp z))>
#<alt (/ y (exp z))>
#<alt (/ y (exp z))>
#<alt (/ y (exp z))>
#<alt (/ y (exp z))>
#<alt (/ y (exp z))>
#<alt (/ y (exp z))>
#<alt y>
#<alt (+ y (* -1 (* y z)))>
#<alt (+ y (* z (- (* -1 (* z (+ (* -1 y) (* 1/2 y)))) y)))>
#<alt (+ y (* z (- (* z (- (* -1 (* z (+ (* -1 (+ (* -1 y) (* 1/2 y))) (+ (* -1/2 y) (* 1/6 y))))) (+ (* -1 y) (* 1/2 y)))) y)))>
#<alt (/ y (exp z))>
#<alt (/ y (exp z))>
#<alt (/ y (exp z))>
#<alt (/ y (exp z))>
#<alt (/ y (exp z))>
#<alt (/ y (exp z))>
#<alt (/ y (exp z))>
#<alt (/ y (exp z))>
#<alt 1>
#<alt (+ 1 z)>
#<alt (+ 1 (* z (+ 1 (* 1/2 z))))>
#<alt (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>
#<alt (exp z)>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))>
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))>
#<alt (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))>
#<alt (* 5641895835477563/30000000000000000 (pow z 2))>
#<alt (* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))>
#<alt (* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))>
#<alt (* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))>
#<alt (* 5641895835477563/30000000000000000 (pow z 2))>
#<alt (* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))>
#<alt (* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))>
#<alt (* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))>
#<alt (* 5641895835477563/5000000000000000 z)>
#<alt (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))>
#<alt (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))>
#<alt (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))>
#<alt (* 5641895835477563/30000000000000000 (pow z 3))>
#<alt (* (pow z 3) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))>
#<alt (* (pow z 3) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))>
#<alt (* (pow z 3) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))>
#<alt (* 5641895835477563/30000000000000000 (pow z 3))>
#<alt (* (pow z 3) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))>
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))) z)) 5641895835477563/30000000000000000)))>
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))) z)) 5641895835477563/30000000000000000)))>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* 5641895835477563/10000000000000000 z)>
Calls

93 calls:

TimeVariablePointExpression
5.0ms
y
@0
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))))
1.0ms
y
@inf
(+ x (/ y (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* z 5641895835477563/30000000000000000)))))) (* x y))))
1.0ms
x
@0
(+ x (/ y (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* z 5641895835477563/30000000000000000)))))) (* x y))))
1.0ms
z
@-inf
(* 5000000000000000/5641895835477563 (/ y (exp z)))
1.0ms
y
@inf
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))))

rewrite550.0ms (5.8%)

Algorithm
1×batch-egg-rewrite
Rules
3544×*-lowering-*.f32
3544×*-lowering-*.f64
3184×/-lowering-/.f32
3184×/-lowering-/.f64
2502×+-lowering-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031162
1204137
22013134
09433134
Stop Event
1×iter limit
1×node limit
Counts
19 → 421
Calls
Call 1
Inputs
(+ x (/ y (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* z 5641895835477563/30000000000000000)))))) (* x y))))
(/ y (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* z 5641895835477563/30000000000000000)))))) (* x y)))
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* z 5641895835477563/30000000000000000)))))) (* x y))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* z 5641895835477563/30000000000000000))))))
(* 5000000000000000/5641895835477563 y)
(+ x (* y (+ 5000000000000000/5641895835477563 (* z -5000000000000000/5641895835477563))))
(* y (+ 5000000000000000/5641895835477563 (* z -5000000000000000/5641895835477563)))
(+ 5000000000000000/5641895835477563 (* z -5000000000000000/5641895835477563))
(* z -5000000000000000/5641895835477563)
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000))))
(* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))
(+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
(/ y (exp z))
(exp z)
(* z (+ 5641895835477563/10000000000000000 (* z 5641895835477563/30000000000000000)))
(* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* z 5641895835477563/30000000000000000)))))
(* z 5641895835477563/10000000000000000)
Outputs
(+.f64 x (/.f64 y (+.f64 (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))))
(+.f64 (/.f64 y (+.f64 (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 y (+.f64 (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))))) (/.f64 (*.f64 (/.f64 y (+.f64 (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) (/.f64 y (+.f64 (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))) (-.f64 x (/.f64 y (+.f64 (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))))))
(-.f64 (/.f64 (*.f64 (/.f64 y (+.f64 (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) (/.f64 y (+.f64 (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))) (-.f64 (/.f64 y (+.f64 (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 y (+.f64 (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) x)))
(fma.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) x)
(fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))) x)
(fma.f64 #s(literal 1 binary64) (/.f64 y (+.f64 (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) x)
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(*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)

simplify459.0ms (4.9%)

Algorithm
1×egg-herbie
Rules
4636×*-lowering-*.f32
4636×*-lowering-*.f64
3124×+-lowering-+.f64
3124×+-lowering-+.f32
1760×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
06155276
121514659
081354659
Stop Event
1×iter limit
1×node limit
Counts
372 → 372
Calls
Call 1
Inputs
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))
(+ (* x (- 1 (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))))
(+ (* x (- (+ 1 (/ (* x (pow y 3)) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 3))) (* -1 (/ (pow y 2) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))))
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x
(* x (- 1 (/ 1 (pow x 2))))
(* x (- (+ 1 (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (/ (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))) y)) (pow x 3)))) (/ 1 (pow x 2))))
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x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
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x
(+ x (/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))))
(+ x (* y (+ (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) (/ (* x y) (pow (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) 2)))))
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x
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5641895835477563/5000000000000000
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5641895835477563/5000000000000000
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5641895835477563/5000000000000000
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(/ y (exp z))
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y
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(/ y (exp z))
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(/ y (exp z))
1
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(exp z)
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(exp z)
(exp z)
(exp z)
(exp z)
(exp z)
(exp z)
(* 5641895835477563/10000000000000000 z)
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(* 5641895835477563/10000000000000000 z)
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(* 5641895835477563/10000000000000000 z)
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(* 5641895835477563/10000000000000000 z)
(* 5641895835477563/10000000000000000 z)
(* 5641895835477563/10000000000000000 z)
(* 5641895835477563/10000000000000000 z)
Outputs
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))))))
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5641895835477563/5000000000000000
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(* 5000000000000000/5641895835477563 (/ y (exp z)))
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(* 5000000000000000/5641895835477563 (/ y (exp z)))
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(* 5000000000000000/5641895835477563 y)
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(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 (* z (+ (* -1 (+ (* -1 y) (* 1/2 y))) (+ (* -1/2 y) (* 1/6 y))))) (* -5000000000000000/5641895835477563 (+ (* -1 y) (* 1/2 y))))))))
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(* 5000000000000000/5641895835477563 (/ y (exp z)))
(/.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 z))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
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(* 5000000000000000/5641895835477563 (/ y (exp z)))
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(* 5000000000000000/5641895835477563 (/ y (exp z)))
(/.f64 (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64)) (exp.f64 z))
(* 5000000000000000/5641895835477563 (/ y (exp z)))
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(* 5000000000000000/5641895835477563 (/ y (exp z)))
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(* 5000000000000000/5641895835477563 (/ y (exp z)))
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(* 5000000000000000/5641895835477563 (/ y (exp z)))
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y
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1
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(exp z)
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(exp z)
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(exp z)
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(* 5641895835477563/10000000000000000 z)
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(* (pow z 2) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
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(* 5641895835477563/5000000000000000 z)
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))
(*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))
(* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))
(*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))))
(* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))
(*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))))
(* 5641895835477563/30000000000000000 (pow z 3))
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(* (pow z 3) (+ 5641895835477563/30000000000000000 (* 5641895835477563/10000000000000000 (/ 1 z))))
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(* (pow z 3) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
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(* (pow z 3) (+ 5641895835477563/30000000000000000 (+ (* 5641895835477563/10000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
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(* 5641895835477563/30000000000000000 (pow z 3))
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(* -1 (* (pow z 3) (- (* -1 (/ (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))) z)) 5641895835477563/30000000000000000)))
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(* 5641895835477563/10000000000000000 z)
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))
(* 5641895835477563/10000000000000000 z)
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(* 5641895835477563/10000000000000000 z)
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))
(* 5641895835477563/10000000000000000 z)
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))
(* 5641895835477563/10000000000000000 z)
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))
(* 5641895835477563/10000000000000000 z)
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))
(* 5641895835477563/10000000000000000 z)
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))
(* 5641895835477563/10000000000000000 z)
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))
(* 5641895835477563/10000000000000000 z)
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))
(* 5641895835477563/10000000000000000 z)
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))
(* 5641895835477563/10000000000000000 z)
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))

eval107.0ms (1.1%)

Compiler

Compiled 22699 to 2356 computations (89.6% saved)

prune103.0ms (1.1%)

Pruning

20 alts after pruning (15 fresh and 5 done)

PrunedKeptTotal
New7849793
Fresh268
Picked235
Done022
Total78820808
Accuracy
100.0%
Counts
808 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.0%
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))))))
✓16.9%
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))))
▶16.6%
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
17.2%
(/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 (exp.f64 z) y))
75.4%
(+.f64 (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))))))) x)
64.5%
(+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))) x)
50.6%
(+.f64 x (/.f64 y (-.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z)) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) (neg.f64 z)) #s(literal -5641895835477563/30000000000000000 binary64)) (neg.f64 (*.f64 z (*.f64 z z)))) (*.f64 x y))))
✓82.3%
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
73.4%
(+.f64 x (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))))))
▶82.3%
(+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))))
61.6%
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
67.0%
(+.f64 x (/.f64 #s(literal -1 binary64) x))
✓55.1%
(+.f64 x (*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)))))
51.2%
(+.f64 x (*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)))))
▶16.8%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))))) y)
16.7%
(*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64))))
▶16.9%
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (+.f64 z #s(literal 1 binary64))))
▶17.0%
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))))))))
✓16.6%
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
✓69.6%
x
Compiler

Compiled 476 to 341 computations (28.4% saved)

simplify263.0ms (2.8%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))))))
✓cost-diff0
(/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))))
✓cost-diff128
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))))))))
✓cost-diff0
(*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))
✓cost-diff0
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))))
✓cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))))) y)
✓cost-diff0
(+.f64 z #s(literal 1 binary64))
✓cost-diff0
(/.f64 y (+.f64 z #s(literal 1 binary64)))
✓cost-diff0
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (+.f64 z #s(literal 1 binary64))))
✓cost-diff0
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
✓cost-diff0
(-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)
✓cost-diff128
(*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))
✓cost-diff128
(/.f64 y (*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)))
✓cost-diff128
(+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))))
Rules
2682×fma-lowering-fma.f32
2682×fma-lowering-fma.f64
2182×fma-define
1706×sum3-define
1478×*-lowering-*.f32
Iterations

Useful iterations: 8 (0.0ms)

IterNodesCost
032199
178175
2184175
3411174
4772165
51146165
61504165
72280165
84213163
95132163
105803163
117039163
08175163
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ x (/ y (* x (- (/ 5641895835477563/5000000000000000 x) y))))
x
(/ y (* x (- (/ 5641895835477563/5000000000000000 x) y)))
y
(* x (- (/ 5641895835477563/5000000000000000 x) y))
(- (/ 5641895835477563/5000000000000000 x) y)
(/ 5641895835477563/5000000000000000 x)
5641895835477563/5000000000000000
(/ y 5641895835477563/5000000000000000)
y
5641895835477563/5000000000000000
(* 5000000000000000/5641895835477563 (/ y (+ z 1)))
5000000000000000/5641895835477563
(/ y (+ z 1))
y
(+ z 1)
z
1
(* (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000))))) y)
(/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))))
1
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000))))
5641895835477563/5000000000000000
(* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))
z
(+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000))
(* z 5641895835477563/10000000000000000)
5641895835477563/10000000000000000
y
(* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* z 1/6))))))))
5000000000000000/5641895835477563
(/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* z 1/6)))))))
y
(+ 1 (* z (+ 1 (* z (+ 1/2 (* z 1/6))))))
1
(* z (+ 1 (* z (+ 1/2 (* z 1/6)))))
z
(+ 1 (* z (+ 1/2 (* z 1/6))))
(* z (+ 1/2 (* z 1/6)))
(+ 1/2 (* z 1/6))
1/2
(* z 1/6)
1/6
Outputs
(+ x (/ y (* x (- (/ 5641895835477563/5000000000000000 x) y))))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))
x
(/ y (* x (- (/ 5641895835477563/5000000000000000 x) y)))
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))
y
(* x (- (/ 5641895835477563/5000000000000000 x) y))
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))
(- (/ 5641895835477563/5000000000000000 x) y)
(-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)
(/ 5641895835477563/5000000000000000 x)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(/ y 5641895835477563/5000000000000000)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
y
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(* 5000000000000000/5641895835477563 (/ y (+ z 1)))
(/.f64 y (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (+.f64 z #s(literal 1 binary64))))
5000000000000000/5641895835477563
#s(literal 5000000000000000/5641895835477563 binary64)
(/ y (+ z 1))
(/.f64 y (+.f64 z #s(literal 1 binary64)))
y
(+ z 1)
(+.f64 z #s(literal 1 binary64))
z
1
#s(literal 1 binary64)
(* (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000))))) y)
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))))
(/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))))
(/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1/2 binary64))))))
1
#s(literal 1 binary64)
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000))))
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))))
5641895835477563/5000000000000000
#s(literal 5641895835477563/5000000000000000 binary64)
(* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))
(*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))
z
(+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000))
(+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))
(* z 5641895835477563/10000000000000000)
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))
5641895835477563/10000000000000000
#s(literal 5641895835477563/10000000000000000 binary64)
y
(* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* z 1/6))))))))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))))))
5000000000000000/5641895835477563
#s(literal 5000000000000000/5641895835477563 binary64)
(/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* z 1/6)))))))
(/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))))
y
(+ 1 (* z (+ 1 (* z (+ 1/2 (* z 1/6))))))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))))))
1
#s(literal 1 binary64)
(* z (+ 1 (* z (+ 1/2 (* z 1/6)))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))
z
(+ 1 (* z (+ 1/2 (* z 1/6))))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))))
(* z (+ 1/2 (* z 1/6)))
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))
(+ 1/2 (* z 1/6))
(+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))
1/2
#s(literal 1/2 binary64)
(* z 1/6)
(*.f64 z #s(literal 1/6 binary64))
1/6
#s(literal 1/6 binary64)

localize183.0ms (1.9%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))
✓accuracy99.6%
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))))))))
✓accuracy99.5%
(*.f64 z #s(literal 1/6 binary64))
✓accuracy96.1%
(/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))))
✓accuracy99.7%
(*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))
✓accuracy99.7%
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))
✓accuracy98.7%
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))))
✓accuracy95.5%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))))) y)
✓accuracy100.0%
(+.f64 z #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 y (+.f64 z #s(literal 1 binary64)))
✓accuracy99.5%
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (+.f64 z #s(literal 1 binary64))))
✓accuracy99.6%
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
✓accuracy100.0%
(-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)
✓accuracy99.9%
(*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))
✓accuracy99.5%
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
✓accuracy88.8%
(/.f64 y (*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)))
Results
109.0ms256×0valid
Compiler

Compiled 205 to 33 computations (83.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-mult: 28.0ms (38.9% of total)
...c/correct-round.rkt:119:19: 17.0ms (23.6% of total)
ival-div: 14.0ms (19.4% of total)
ival-add: 11.0ms (15.3% of total)
ival-sub: 1.0ms (1.4% of total)
const: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

series52.0ms (0.6%)

Counts
20 → 348
Calls
Call 1
Inputs
#<alt (+ x (/ y (* x (- (/ 5641895835477563/5000000000000000 x) y))))>
#<alt (/ y (* x (- (/ 5641895835477563/5000000000000000 x) y)))>
#<alt (* x (- (/ 5641895835477563/5000000000000000 x) y))>
#<alt (- (/ 5641895835477563/5000000000000000 x) y)>
#<alt (/ y 5641895835477563/5000000000000000)>
#<alt (* 5000000000000000/5641895835477563 (/ y (+ z 1)))>
#<alt (/ y (+ z 1))>
#<alt (+ z 1)>
#<alt (* (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000))))) y)>
#<alt (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))))>
#<alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000))))>
#<alt (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))>
#<alt (* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* z 1/6))))))))>
#<alt (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* z 1/6)))))))>
#<alt (+ 1 (* z (+ 1 (* z (+ 1/2 (* z 1/6))))))>
#<alt (* z (+ 1 (* z (+ 1/2 (* z 1/6)))))>
#<alt (/ 5641895835477563/5000000000000000 x)>
#<alt (* z 5641895835477563/10000000000000000)>
#<alt (* z 1/6)>
#<alt (* z (+ 1/2 (* z 1/6)))>
Outputs
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (+ (* 5000000000000000/5641895835477563 y) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))>
#<alt (+ (* 5000000000000000/5641895835477563 y) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))>
#<alt (+ (* 5000000000000000/5641895835477563 y) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))>
#<alt x>
#<alt (* x (- 1 (/ 1 (pow x 2))))>
#<alt (* x (+ 1 (* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) (pow x 2)))))>
#<alt (* x (- (+ 1 (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 2))))) (pow x 3)))) (/ 1 (pow x 2))))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 (pow x 2)) 1)))>
#<alt (* -1 (* x (- (+ (/ 1 (pow x 2)) (/ 5641895835477563/5000000000000000 (* (pow x 3) y))) 1)))>
#<alt (* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 4) (pow y 2)))) (/ 1 (pow x 2)))) 1)))>
#<alt x>
#<alt (+ x (* 5000000000000000/5641895835477563 y))>
#<alt (+ x (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))))>
#<alt (+ x (* y (+ 5000000000000000/5641895835477563 (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) y)) (* -25000000000000000000000000000000/31830988618379068626528276418969 x))))))>
#<alt (- x (/ 1 x))>
#<alt (- x (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))>
#<alt (- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y)))) y))) (/ 1 x))>
#<alt (- (+ x (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 3))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 4) y)))) (pow y 2)))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y))))>
#<alt (- x (/ 1 x))>
#<alt (- x (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))>
#<alt (- (+ x (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y))) (/ 1 x))>
#<alt (- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 3) y)) (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* (pow x 4) (pow y 2))))) y))) (/ 1 x))>
#<alt (* 5000000000000000/5641895835477563 y)>
#<alt (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y))))>
#<alt (* y (+ 5000000000000000/5641895835477563 (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) y)) (* -25000000000000000000000000000000/31830988618379068626528276418969 x)))))>
#<alt (* y (+ 5000000000000000/5641895835477563 (* y (- (* y (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 3) y)) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow x 2)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 x)))))>
#<alt (/ -1 x)>
#<alt (* -1 (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))>
#<alt (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y)))) y)) (/ 1 x))>
#<alt (- (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 3))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 4) y)))) (pow y 2))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y))))>
#<alt (/ -1 x)>
#<alt (* -1 (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))>
#<alt (- (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y)) (/ 1 x))>
#<alt (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 3) y)) (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* (pow x 4) (pow y 2))))) y)) (/ 1 x))>
#<alt (* 5000000000000000/5641895835477563 y)>
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#<alt (/ (- (+ (* -1 (/ (+ (* -54 y) (* 36 y)) (pow z 2))) (* 6 y)) (* 18 (/ y z))) (pow z 3))>
#<alt (/ (- (+ (* -1 (/ (+ (* -108 y) (+ (* -3 (+ (* -54 y) (* 36 y))) (* 36 y))) (pow z 3))) (* 6 y)) (+ (* -54 (/ y (pow z 2))) (+ (* 18 (/ y z)) (* 36 (/ y (pow z 2)))))) (pow z 3))>
#<alt (* 6 (/ y (pow z 3)))>
#<alt (* -1 (/ (+ (* -6 y) (* 18 (/ y z))) (pow z 3)))>
#<alt (* -1 (/ (+ (* -6 y) (* -1 (/ (- (+ (* -36 (/ y z)) (* 54 (/ y z))) (* 18 y)) z))) (pow z 3)))>
#<alt (* -1 (/ (+ (* -6 y) (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ y z)) (+ (* 3 (/ (+ (* -36 y) (* 54 y)) z)) (* 36 (/ y z)))) (+ (* -36 y) (* 54 y))) z)) (* 18 y)) z))) (pow z 3)))>
#<alt 1>
#<alt (+ 1 z)>
#<alt (+ 1 (* z (+ 1 (* 1/2 z))))>
#<alt (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))>
#<alt (* 1/6 (pow z 3))>
#<alt (* (pow z 3) (+ 1/6 (* 1/2 (/ 1 z))))>
#<alt (* (pow z 3) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2)))))>
#<alt (* (pow z 3) (+ 1/6 (+ (* 1/2 (/ 1 z)) (+ (/ 1 (pow z 2)) (/ 1 (pow z 3))))))>
#<alt (* 1/6 (pow z 3))>
#<alt (* (pow z 3) (+ 1/6 (* 1/2 (/ 1 z))))>
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (+ 1/2 (/ 1 z)) z)) 1/6)))>
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 z) (/ 1 (pow z 2)))) z)) 1/6)))>
#<alt z>
#<alt (* z (+ 1 (* 1/2 z)))>
#<alt (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))>
#<alt (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))>
#<alt (* 1/6 (pow z 3))>
#<alt (* (pow z 3) (+ 1/6 (* 1/2 (/ 1 z))))>
#<alt (* (pow z 3) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2)))))>
#<alt (* (pow z 3) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2)))))>
#<alt (* 1/6 (pow z 3))>
#<alt (* (pow z 3) (+ 1/6 (* 1/2 (/ 1 z))))>
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (+ 1/2 (/ 1 z)) z)) 1/6)))>
#<alt (* -1 (* (pow z 3) (- (* -1 (/ (+ 1/2 (/ 1 z)) z)) 1/6)))>
#<alt (/ 5641895835477563/5000000000000000 x)>
#<alt (/ 5641895835477563/5000000000000000 x)>
#<alt (/ 5641895835477563/5000000000000000 x)>
#<alt (/ 5641895835477563/5000000000000000 x)>
#<alt (/ 5641895835477563/5000000000000000 x)>
#<alt (/ 5641895835477563/5000000000000000 x)>
#<alt (/ 5641895835477563/5000000000000000 x)>
#<alt (/ 5641895835477563/5000000000000000 x)>
#<alt (/ 5641895835477563/5000000000000000 x)>
#<alt (/ 5641895835477563/5000000000000000 x)>
#<alt (/ 5641895835477563/5000000000000000 x)>
#<alt (/ 5641895835477563/5000000000000000 x)>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* 5641895835477563/10000000000000000 z)>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* 1/6 z)>
#<alt (* 1/2 z)>
#<alt (* z (+ 1/2 (* 1/6 z)))>
#<alt (* z (+ 1/2 (* 1/6 z)))>
#<alt (* z (+ 1/2 (* 1/6 z)))>
#<alt (* 1/6 (pow z 2))>
#<alt (* (pow z 2) (+ 1/6 (* 1/2 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1/6 (* 1/2 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1/6 (* 1/2 (/ 1 z))))>
#<alt (* 1/6 (pow z 2))>
#<alt (* (pow z 2) (+ 1/6 (* 1/2 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1/6 (* 1/2 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1/6 (* 1/2 (/ 1 z))))>
Calls

87 calls:

TimeVariablePointExpression
12.0ms
z
@-inf
(* z 1/6)
5.0ms
x
@inf
(/ 5641895835477563/5000000000000000 x)
2.0ms
y
@0
(* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* z 1/6))))))))
1.0ms
y
@inf
(* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* z 1/6))))))))
1.0ms
y
@inf
(* 5000000000000000/5641895835477563 (/ y (+ z 1)))

rewrite421.0ms (4.5%)

Algorithm
1×batch-egg-rewrite
Rules
3810×/-lowering-/.f32
3810×/-lowering-/.f64
3768×*-lowering-*.f32
3768×*-lowering-*.f64
2108×+-lowering-+.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032160
1211140
21930140
09015140
Stop Event
1×iter limit
1×node limit
Counts
20 → 509
Calls
Call 1
Inputs
(+ x (/ y (* x (- (/ 5641895835477563/5000000000000000 x) y))))
(/ y (* x (- (/ 5641895835477563/5000000000000000 x) y)))
(* x (- (/ 5641895835477563/5000000000000000 x) y))
(- (/ 5641895835477563/5000000000000000 x) y)
(/ y 5641895835477563/5000000000000000)
(* 5000000000000000/5641895835477563 (/ y (+ z 1)))
(/ y (+ z 1))
(+ z 1)
(* (/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000))))) y)
(/ 1 (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000))))
(* z (+ 5641895835477563/5000000000000000 (* z 5641895835477563/10000000000000000)))
(* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* z 1/6))))))))
(/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* z 1/6)))))))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* z 1/6))))))
(* z (+ 1 (* z (+ 1/2 (* z 1/6)))))
(/ 5641895835477563/5000000000000000 x)
(* z 5641895835477563/10000000000000000)
(* z 1/6)
(* z (+ 1/2 (* z 1/6)))
Outputs
(+.f64 x (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)))
(+.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)))) (/.f64 (/.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (/.f64 x y))) (-.f64 x (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)))))
(-.f64 (/.f64 (/.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (/.f64 x y))) (-.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) x)))
(fma.f64 y (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) x)
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) x)
(fma.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (-.f64 #s(literal 0 binary64) x))) x)
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) y x)
(fma.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) x)
(fma.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (*.f64 x (*.f64 x x))) (*.f64 y (*.f64 y y)))) (+.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x x)) (*.f64 y (+.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)))) x)
(fma.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 x x)) (*.f64 y y))) (+.f64 y (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)) x)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) x) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (/.f64 x y)))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) (/.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (/.f64 x y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))) (-.f64 (*.f64 x x) (/.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (/.f64 x y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) x) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (/.f64 x y)))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) (/.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (/.f64 x y))))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))) (-.f64 (*.f64 x x) (/.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (/.f64 x y)))))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) (/.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (/.f64 x y))))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) x) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (/.f64 x y)))))
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) (/.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (/.f64 x y))))) (+.f64 (/.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (/.f64 x y))) (-.f64 (*.f64 x x) (/.f64 (*.f64 x (/.f64 y x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)))))
(/.f64 (-.f64 (*.f64 x x) (/.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (/.f64 x y)))) (-.f64 x (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))))
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) (/.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (/.f64 x y)))))) (neg.f64 (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) x) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (/.f64 x y))))))
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) (/.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (/.f64 x y)))))) (neg.f64 (+.f64 (/.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (/.f64 x y))) (-.f64 (*.f64 x x) (/.f64 (*.f64 x (/.f64 y x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (/.f64 x y))))) (neg.f64 (-.f64 x (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)))))
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (/.f64 x y))) (*.f64 x x)) (-.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)))) (*.f64 (-.f64 x (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))) (/.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (/.f64 x y))))) (*.f64 (-.f64 x (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))) (-.f64 x (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) (/.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (/.f64 x y))))))) (neg.f64 (neg.f64 (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) x) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (/.f64 x y)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (/.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (/.f64 x y)))))) (neg.f64 (neg.f64 (-.f64 x (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))))))
(/.f64 (neg.f64 (-.f64 (/.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (/.f64 x y))) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) x)))
(pow.f64 (/.f64 (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) x) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (/.f64 x y)))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) (/.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (/.f64 x y)))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))) (-.f64 (*.f64 x x) (/.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (/.f64 x y))))) #s(literal -1 binary64))
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) (/.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (/.f64 x y))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) x) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (/.f64 x y))))))
(*.f64 (-.f64 (*.f64 x x) (/.f64 (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (-.f64 x (/.f64 (/.f64 y x) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (/.f64 x y))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (-.f64 #s(literal 0 binary64) x))) (/.f64 y (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y) (-.f64 #s(literal 0 binary64) x))))
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(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal 5641895835477563/5000000000000000 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) x))
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(fma.f64 z #s(literal 1/2 binary64) (*.f64 z (*.f64 z #s(literal 1/6 binary64))))
(fma.f64 z (*.f64 z #s(literal 1/6 binary64)) (*.f64 z #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z #s(literal 1/6 binary64)))))
(fma.f64 #s(literal 1/2 binary64) z (*.f64 z (*.f64 z #s(literal 1/6 binary64))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 z z) (*.f64 z #s(literal 1/2 binary64)))
(fma.f64 (*.f64 z #s(literal 1/6 binary64)) z (*.f64 z #s(literal 1/2 binary64)))
(fma.f64 (*.f64 z z) #s(literal 1/6 binary64) (*.f64 z #s(literal 1/2 binary64)))
(fma.f64 (*.f64 z #s(literal 1/2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 z (*.f64 z #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(/.f64 (+.f64 (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/8 binary64)) (*.f64 (*.f64 z (*.f64 z z)) (*.f64 (*.f64 z (*.f64 z z)) #s(literal 1/216 binary64)))) (+.f64 (*.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 z #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 z (*.f64 z #s(literal 1/6 binary64))) (*.f64 z (*.f64 z #s(literal 1/6 binary64)))) (*.f64 (*.f64 z #s(literal 1/2 binary64)) (*.f64 z (*.f64 z #s(literal 1/6 binary64)))))))
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(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))) z)
(*.f64 (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))) z)

simplify371.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
3406×*-lowering-*.f32
3406×*-lowering-*.f64
2598×+-lowering-+.f64
2598×+-lowering-+.f32
1980×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06083342
119933093
265733092
081663092
Stop Event
1×iter limit
1×node limit
Counts
348 → 348
Calls
Call 1
Inputs
(* 5000000000000000/5641895835477563 y)
(+ (* 5000000000000000/5641895835477563 y) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(+ (* 5000000000000000/5641895835477563 y) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(+ (* 5000000000000000/5641895835477563 y) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
x
(* x (- 1 (/ 1 (pow x 2))))
(* x (+ 1 (* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) (pow x 2)))))
(* x (- (+ 1 (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 2))))) (pow x 3)))) (/ 1 (pow x 2))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(* -1 (* x (- (+ (/ 1 (pow x 2)) (/ 5641895835477563/5000000000000000 (* (pow x 3) y))) 1)))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 4) (pow y 2)))) (/ 1 (pow x 2)))) 1)))
x
(+ x (* 5000000000000000/5641895835477563 y))
(+ x (* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y)))))
(+ x (* y (+ 5000000000000000/5641895835477563 (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) y)) (* -25000000000000000000000000000000/31830988618379068626528276418969 x))))))
(- x (/ 1 x))
(- x (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y)))) y))) (/ 1 x))
(- (+ x (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 3))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 4) y)))) (pow y 2)))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y))))
(- x (/ 1 x))
(- x (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))
(- (+ x (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y))) (/ 1 x))
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 3) y)) (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* (pow x 4) (pow y 2))))) y))) (/ 1 x))
(* 5000000000000000/5641895835477563 y)
(* y (+ 5000000000000000/5641895835477563 (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x y))))
(* y (+ 5000000000000000/5641895835477563 (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* (pow x 2) y)) (* -25000000000000000000000000000000/31830988618379068626528276418969 x)))))
(* y (+ 5000000000000000/5641895835477563 (* y (- (* y (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* (pow x 3) y)) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow x 2)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 x)))))
(/ -1 x)
(* -1 (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))
(- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y)))) y)) (/ 1 x))
(- (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow x 3))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* (pow x 4) y)))) (pow y 2))) (+ (/ 1 x) (/ 5641895835477563/5000000000000000 (* (pow x 2) y))))
(/ -1 x)
(* -1 (+ (/ 1 x) (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 2) y)))))
(- (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 3) y))) (* 5641895835477563/5000000000000000 (/ 1 (pow x 2)))) y)) (/ 1 x))
(- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 (pow x 2))) (+ (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 3) y)) (/ 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (* (pow x 4) (pow y 2))))) y)) (/ 1 x))
(* 5000000000000000/5641895835477563 y)
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (* x (pow y 2))) (* 5000000000000000/5641895835477563 y))
(+ (* 5000000000000000/5641895835477563 y) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(+ (* 5000000000000000/5641895835477563 y) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(/ -1 x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) x))
(/ (- (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 2))))) x)) 1) x)
(/ (- (* -1 (/ (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2))) (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* x (pow y 3))))) (pow x 2))) (+ 1 (/ 5641895835477563/5000000000000000 (* x y)))) x)
(/ -1 x)
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) x))
(* -1 (/ (+ 1 (+ (/ 5641895835477563/5000000000000000 (* x y)) (/ 31830988618379068626528276418969/25000000000000000000000000000000 (* (pow x 2) (pow y 2))))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ 1 (* x (pow y 3)))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ 1 y))) x))) x))
5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* -1 (* x y)))
(+ 5641895835477563/5000000000000000 (* -1 (* x y)))
(+ 5641895835477563/5000000000000000 (* -1 (* x y)))
(* -1 (* x y))
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x))))
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x))))
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x))))
(* -1 (* x y))
(* -1 (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))))
(* -1 (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))))
(* -1 (* x (- y (* 5641895835477563/5000000000000000 (/ 1 x)))))
5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* -1 (* x y)))
(+ 5641895835477563/5000000000000000 (* -1 (* x y)))
(+ 5641895835477563/5000000000000000 (* -1 (* x y)))
(* -1 (* x y))
(* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y))))
(* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y))))
(* y (+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y))))
(* -1 (* x y))
(* -1 (* y (- x (* 5641895835477563/5000000000000000 (/ 1 y)))))
(* -1 (* y (- x (* 5641895835477563/5000000000000000 (/ 1 y)))))
(* -1 (* y (- x (* 5641895835477563/5000000000000000 (/ 1 y)))))
(/ 5641895835477563/5000000000000000 x)
(/ (+ 5641895835477563/5000000000000000 (* -1 (* x y))) x)
(/ (+ 5641895835477563/5000000000000000 (* -1 (* x y))) x)
(/ (+ 5641895835477563/5000000000000000 (* -1 (* x y))) x)
(* -1 y)
(- (* 5641895835477563/5000000000000000 (/ 1 x)) y)
(- (* 5641895835477563/5000000000000000 (/ 1 x)) y)
(- (* 5641895835477563/5000000000000000 (/ 1 x)) y)
(* -1 y)
(- (* 5641895835477563/5000000000000000 (/ 1 x)) y)
(- (* 5641895835477563/5000000000000000 (/ 1 x)) y)
(- (* 5641895835477563/5000000000000000 (/ 1 x)) y)
(/ 5641895835477563/5000000000000000 x)
(+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))
(+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))
(+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))
(* -1 y)
(* y (- (* 5641895835477563/5000000000000000 (/ 1 (* x y))) 1))
(* y (- (* 5641895835477563/5000000000000000 (/ 1 (* x y))) 1))
(* y (- (* 5641895835477563/5000000000000000 (/ 1 (* x y))) 1))
(* -1 y)
(* -1 (* y (- 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y))))))
(* -1 (* y (- 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y))))))
(* -1 (* y (- 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y))))))
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 y)
(* 5000000000000000/5641895835477563 (/ y (+ 1 z)))
(* 5000000000000000/5641895835477563 (/ y (+ 1 z)))
(* 5000000000000000/5641895835477563 (/ y (+ 1 z)))
(* 5000000000000000/5641895835477563 (/ y (+ 1 z)))
(* 5000000000000000/5641895835477563 (/ y (+ 1 z)))
(* 5000000000000000/5641895835477563 (/ y (+ 1 z)))
(* 5000000000000000/5641895835477563 (/ y (+ 1 z)))
(* 5000000000000000/5641895835477563 (/ y (+ 1 z)))
(* 5000000000000000/5641895835477563 (/ y (+ 1 z)))
(* 5000000000000000/5641895835477563 (/ y (+ 1 z)))
(* 5000000000000000/5641895835477563 (/ y (+ 1 z)))
(* 5000000000000000/5641895835477563 (/ y (+ 1 z)))
(* 5000000000000000/5641895835477563 y)
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (* y z)))))
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))))))
(* 5000000000000000/5641895835477563 (/ y z))
(/ (+ (* -5000000000000000/5641895835477563 (/ y z)) (* 5000000000000000/5641895835477563 y)) z)
(/ (+ (* -5000000000000000/5641895835477563 (/ y z)) (+ (* 5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y (pow z 2))))) z)
(/ (+ (* -5000000000000000/5641895835477563 (/ y z)) (+ (* -5000000000000000/5641895835477563 (/ y (pow z 3))) (+ (* 5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y (pow z 2)))))) z)
(* 5000000000000000/5641895835477563 (/ y z))
(* -1 (/ (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))) z))
(* -1 (/ (+ (* -1 (/ (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))) z)) (* -5000000000000000/5641895835477563 y)) z))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -5000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ y z))) z)) (* -5000000000000000/5641895835477563 y)) z)) (* -5000000000000000/5641895835477563 y)) z))
(/ y (+ 1 z))
(/ y (+ 1 z))
(/ y (+ 1 z))
(/ y (+ 1 z))
(/ y (+ 1 z))
(/ y (+ 1 z))
(/ y (+ 1 z))
(/ y (+ 1 z))
(/ y (+ 1 z))
(/ y (+ 1 z))
(/ y (+ 1 z))
(/ y (+ 1 z))
y
(+ y (* -1 (* y z)))
(+ y (* z (- (* y z) y)))
(+ y (* z (- (* z (- (* -1 (* y z)) (* -1 y))) y)))
(/ y z)
(/ (+ y (* -1 (/ y z))) z)
(/ (- (+ y (/ y (pow z 2))) (/ y z)) z)
(/ (- (+ y (* -1 (/ y (pow z 3)))) (+ (* -1 (/ y (pow z 2))) (/ y z))) z)
(/ y z)
(* -1 (/ (+ (* -1 y) (/ y z)) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ y z) y) z))) z))
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ y z) y) z)) y) z))) z))
1
(+ 1 z)
(+ 1 z)
(+ 1 z)
z
(* z (+ 1 (/ 1 z)))
(* z (+ 1 (/ 1 z)))
(* z (+ 1 (/ 1 z)))
z
(* z (+ 1 (/ 1 z)))
(* z (+ 1 (/ 1 z)))
(* z (+ 1 (/ 1 z)))
(* 5000000000000000/5641895835477563 y)
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))
(+ (* 5000000000000000/5641895835477563 y) (* z (- (* -1 (* z (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y)))) (* 5000000000000000/5641895835477563 y))))
(+ (* 5000000000000000/5641895835477563 y) (* z (- (* z (- (* -1 (* z (+ (* -1 (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y))) (* -2500000000000000/5641895835477563 y)))) (+ (* -5000000000000000/5641895835477563 y) (* 2500000000000000/5641895835477563 y)))) (* 5000000000000000/5641895835477563 y))))
(* 10000000000000000/5641895835477563 (/ y (pow z 2)))
(/ (+ (* -20000000000000000/5641895835477563 (/ y z)) (* 10000000000000000/5641895835477563 y)) (pow z 2))
(/ (- (+ (* -1 (/ (+ (* -40000000000000000/5641895835477563 y) (* 20000000000000000/5641895835477563 y)) (pow z 2))) (* 10000000000000000/5641895835477563 y)) (* 20000000000000000/5641895835477563 (/ y z))) (pow z 2))
(/ (- (+ (* -1 (/ (+ (* -40000000000000000/5641895835477563 y) (* -2 (+ (* -40000000000000000/5641895835477563 y) (* 20000000000000000/5641895835477563 y)))) (pow z 3))) (* 10000000000000000/5641895835477563 y)) (+ (* -40000000000000000/5641895835477563 (/ y (pow z 2))) (+ (* 20000000000000000/5641895835477563 (/ y z)) (* 20000000000000000/5641895835477563 (/ y (pow z 2)))))) (pow z 2))
(* 10000000000000000/5641895835477563 (/ y (pow z 2)))
(/ (+ (* -20000000000000000/5641895835477563 (/ y z)) (* 10000000000000000/5641895835477563 y)) (pow z 2))
(/ (+ (* -1 (/ (- (+ (* -40000000000000000/5641895835477563 (/ y z)) (* 20000000000000000/5641895835477563 (/ y z))) (* -20000000000000000/5641895835477563 y)) z)) (* 10000000000000000/5641895835477563 y)) (pow z 2))
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (+ (* -40000000000000000/5641895835477563 y) (* 20000000000000000/5641895835477563 y)) z)) (* 40000000000000000/5641895835477563 (/ y z))) (+ (* -40000000000000000/5641895835477563 y) (* 20000000000000000/5641895835477563 y))) z)) (* -20000000000000000/5641895835477563 y)) z)) (* 10000000000000000/5641895835477563 y)) (pow z 2))
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
(/ y (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))))
5000000000000000/5641895835477563
(+ 5000000000000000/5641895835477563 (* -5000000000000000/5641895835477563 z))
(+ 5000000000000000/5641895835477563 (* z (- (* 2500000000000000/5641895835477563 z) 5000000000000000/5641895835477563)))
(+ 5000000000000000/5641895835477563 (* z (- (* z (+ 2500000000000000/5641895835477563 (* -1250000000000000/5641895835477563 (pow z 2)))) 5000000000000000/5641895835477563)))
(/ 10000000000000000/5641895835477563 (pow z 2))
(/ (- 10000000000000000/5641895835477563 (* 20000000000000000/5641895835477563 (/ 1 z))) (pow z 2))
(/ (- (+ 10000000000000000/5641895835477563 (/ 20000000000000000/5641895835477563 (pow z 2))) (* 20000000000000000/5641895835477563 (/ 1 z))) (pow z 2))
(/ (- (+ 10000000000000000/5641895835477563 (/ 20000000000000000/5641895835477563 (pow z 2))) (+ (* 20000000000000000/5641895835477563 (/ 1 z)) (* 40000000000000000/5641895835477563 (/ 1 (pow z 4))))) (pow z 2))
(/ 10000000000000000/5641895835477563 (pow z 2))
(/ (- 10000000000000000/5641895835477563 (* 20000000000000000/5641895835477563 (/ 1 z))) (pow z 2))
(/ (+ 10000000000000000/5641895835477563 (* -1 (/ (- 20000000000000000/5641895835477563 (* 20000000000000000/5641895835477563 (/ 1 z))) z))) (pow z 2))
(/ (+ 10000000000000000/5641895835477563 (* -1 (/ (+ 20000000000000000/5641895835477563 (* -1 (/ (- 20000000000000000/5641895835477563 (* 40000000000000000/5641895835477563 (/ 1 (pow z 2)))) z))) z))) (pow z 2))
5641895835477563/5000000000000000
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))
(* 5641895835477563/10000000000000000 (pow z 2))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(* 5641895835477563/10000000000000000 (pow z 2))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (+ (* 5641895835477563/5000000000000000 (/ 1 z)) (/ 5641895835477563/5000000000000000 (pow z 2)))))
(* 5641895835477563/5000000000000000 z)
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))
(* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))
(* 5641895835477563/10000000000000000 (pow z 2))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* 5641895835477563/10000000000000000 (pow z 2))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* (pow z 2) (+ 5641895835477563/10000000000000000 (* 5641895835477563/5000000000000000 (/ 1 z))))
(* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))))
(* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))))
(* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))))
(* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))))
(* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))))
(* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))))
(* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))))
(* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))))
(* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))))
(* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))))
(* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))))
(* 5000000000000000/5641895835477563 (/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))))
(* 5000000000000000/5641895835477563 y)
(+ (* -5000000000000000/5641895835477563 (* y z)) (* 5000000000000000/5641895835477563 y))
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* -5000000000000000/5641895835477563 (* z (+ (* -1 y) (* 1/2 y)))))))
(+ (* 5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 y) (* z (+ (* -5000000000000000/5641895835477563 (* z (+ (* -1 (+ (* -1 y) (* 1/2 y))) (+ (* -1/2 y) (* 1/6 y))))) (* -5000000000000000/5641895835477563 (+ (* -1 y) (* 1/2 y))))))))
(* 30000000000000000/5641895835477563 (/ y (pow z 3)))
(/ (+ (* -90000000000000000/5641895835477563 (/ y z)) (* 30000000000000000/5641895835477563 y)) (pow z 3))
(/ (+ (* -90000000000000000/5641895835477563 (/ y z)) (+ (* -5000000000000000/5641895835477563 (/ (+ (* -54 y) (* 36 y)) (pow z 2))) (* 30000000000000000/5641895835477563 y))) (pow z 3))
(/ (+ (* -90000000000000000/5641895835477563 (/ y z)) (+ (* -5000000000000000/5641895835477563 (/ (+ (* -108 y) (+ (* -3 (+ (* -54 y) (* 36 y))) (* 36 y))) (pow z 3))) (+ (* -5000000000000000/5641895835477563 (/ (+ (* -54 y) (* 36 y)) (pow z 2))) (* 30000000000000000/5641895835477563 y)))) (pow z 3))
(* 30000000000000000/5641895835477563 (/ y (pow z 3)))
(* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* 90000000000000000/5641895835477563 (/ y z))) (pow z 3)))
(* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* -1 (/ (+ (* -90000000000000000/5641895835477563 y) (* 5000000000000000/5641895835477563 (/ (+ (* -36 y) (* 54 y)) z))) z))) (pow z 3)))
(* -1 (/ (+ (* -30000000000000000/5641895835477563 y) (* -1 (/ (+ (* -90000000000000000/5641895835477563 y) (* -1 (/ (+ (* -5000000000000000/5641895835477563 (+ (* -36 y) (* 54 y))) (* 5000000000000000/5641895835477563 (/ (+ (* -108 y) (+ (* 3 (+ (* -36 y) (* 54 y))) (* 36 y))) z))) z))) z))) (pow z 3)))
(/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))
(/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))
(/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))
(/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))
(/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))
(/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))
(/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))
(/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))
(/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))
(/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))
(/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))
(/ y (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))))
y
(+ y (* -1 (* y z)))
(+ y (* z (- (* -1 (* z (+ (* -1 y) (* 1/2 y)))) y)))
(+ y (* z (- (* z (- (* -1 (* z (+ (* -1 (+ (* -1 y) (* 1/2 y))) (+ (* -1/2 y) (* 1/6 y))))) (+ (* -1 y) (* 1/2 y)))) y)))
(* 6 (/ y (pow z 3)))
(/ (+ (* -18 (/ y z)) (* 6 y)) (pow z 3))
(/ (- (+ (* -1 (/ (+ (* -54 y) (* 36 y)) (pow z 2))) (* 6 y)) (* 18 (/ y z))) (pow z 3))
(/ (- (+ (* -1 (/ (+ (* -108 y) (+ (* -3 (+ (* -54 y) (* 36 y))) (* 36 y))) (pow z 3))) (* 6 y)) (+ (* -54 (/ y (pow z 2))) (+ (* 18 (/ y z)) (* 36 (/ y (pow z 2)))))) (pow z 3))
(* 6 (/ y (pow z 3)))
(* -1 (/ (+ (* -6 y) (* 18 (/ y z))) (pow z 3)))
(* -1 (/ (+ (* -6 y) (* -1 (/ (- (+ (* -36 (/ y z)) (* 54 (/ y z))) (* 18 y)) z))) (pow z 3)))
(* -1 (/ (+ (* -6 y) (* -1 (/ (- (* -1 (/ (- (+ (* -108 (/ y z)) (+ (* 3 (/ (+ (* -36 y) (* 54 y)) z)) (* 36 (/ y z)))) (+ (* -36 y) (* 54 y))) z)) (* 18 y)) z))) (pow z 3)))
1
(+ 1 z)
(+ 1 (* z (+ 1 (* 1/2 z))))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(* 1/6 (pow z 3))
(* (pow z 3) (+ 1/6 (* 1/2 (/ 1 z))))
(* (pow z 3) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2)))))
(* (pow z 3) (+ 1/6 (+ (* 1/2 (/ 1 z)) (+ (/ 1 (pow z 2)) (/ 1 (pow z 3))))))
(* 1/6 (pow z 3))
(* (pow z 3) (+ 1/6 (* 1/2 (/ 1 z))))
(* -1 (* (pow z 3) (- (* -1 (/ (+ 1/2 (/ 1 z)) z)) 1/6)))
(* -1 (* (pow z 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 z) (/ 1 (pow z 2)))) z)) 1/6)))
z
(* z (+ 1 (* 1/2 z)))
(* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))
(* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))
(* 1/6 (pow z 3))
(* (pow z 3) (+ 1/6 (* 1/2 (/ 1 z))))
(* (pow z 3) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2)))))
(* (pow z 3) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2)))))
(* 1/6 (pow z 3))
(* (pow z 3) (+ 1/6 (* 1/2 (/ 1 z))))
(* -1 (* (pow z 3) (- (* -1 (/ (+ 1/2 (/ 1 z)) z)) 1/6)))
(* -1 (* (pow z 3) (- (* -1 (/ (+ 1/2 (/ 1 z)) z)) 1/6)))
(/ 5641895835477563/5000000000000000 x)
(/ 5641895835477563/5000000000000000 x)
(/ 5641895835477563/5000000000000000 x)
(/ 5641895835477563/5000000000000000 x)
(/ 5641895835477563/5000000000000000 x)
(/ 5641895835477563/5000000000000000 x)
(/ 5641895835477563/5000000000000000 x)
(/ 5641895835477563/5000000000000000 x)
(/ 5641895835477563/5000000000000000 x)
(/ 5641895835477563/5000000000000000 x)
(/ 5641895835477563/5000000000000000 x)
(/ 5641895835477563/5000000000000000 x)
(* 5641895835477563/10000000000000000 z)
(* 5641895835477563/10000000000000000 z)
(* 5641895835477563/10000000000000000 z)
(* 5641895835477563/10000000000000000 z)
(* 5641895835477563/10000000000000000 z)
(* 5641895835477563/10000000000000000 z)
(* 5641895835477563/10000000000000000 z)
(* 5641895835477563/10000000000000000 z)
(* 5641895835477563/10000000000000000 z)
(* 5641895835477563/10000000000000000 z)
(* 5641895835477563/10000000000000000 z)
(* 5641895835477563/10000000000000000 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/6 z)
(* 1/2 z)
(* z (+ 1/2 (* 1/6 z)))
(* z (+ 1/2 (* 1/6 z)))
(* z (+ 1/2 (* 1/6 z)))
(* 1/6 (pow z 2))
(* (pow z 2) (+ 1/6 (* 1/2 (/ 1 z))))
(* (pow z 2) (+ 1/6 (* 1/2 (/ 1 z))))
(* (pow z 2) (+ 1/6 (* 1/2 (/ 1 z))))
(* 1/6 (pow z 2))
(* (pow z 2) (+ 1/6 (* 1/2 (/ 1 z))))
(* (pow z 2) (+ 1/6 (* 1/2 (/ 1 z))))
(* (pow z 2) (+ 1/6 (* 1/2 (/ 1 z))))
Outputs
(* 5000000000000000/5641895835477563 y)
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(+ (* 5000000000000000/5641895835477563 y) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64)))))
(+ (* 5000000000000000/5641895835477563 y) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (* x (pow y 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (*.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 y (*.f64 y (*.f64 y x)))) (*.f64 (*.f64 y y) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))))))
(+ (* 5000000000000000/5641895835477563 y) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (* x (pow y 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (pow y 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (pow y 2)))))
(+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) (*.f64 x (+.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 binary64))) (*.f64 #s(literal 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 binary64) (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64))))))
x
(* x (- 1 (/ 1 (pow x 2))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(* x (+ 1 (* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))) (pow x 2)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y x))) x) x)))
(* x (- (+ 1 (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ 1 y)) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* x (pow y 2))))) (pow x 3)))) (/ 1 (pow x 2))))
(*.f64 x (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y (*.f64 y x)))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
x
(* -1 (* x (- (/ 1 (pow x 2)) 1)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (+ (/ 1 (pow x 2)) (/ 5641895835477563/5000000000000000 (* (pow x 3) y))) 1)))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) x))
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ 1 (* (pow x 3) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ 1 (* (pow x 4) (pow y 2)))) (/ 1 (pow x 2)))) 1)))
(*.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x (*.f64 y (*.f64 x x)))) (/.f64 (/.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y y)) (pow.f64 x #s(literal 4 binary64)))))) (-.f64 #s(literal 0 binary64) x))
x
(+ x (* 5000000000000000/5641895835477563 y))
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(/.f64 (-.f64 (*.f64 y #s(literal -6 binary64)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 y #s(literal -108 binary64)) z) (+.f64 (/.f64 (*.f64 y #s(literal 36 binary64)) z) (+.f64 (/.f64 (*.f64 y #s(literal 54 binary64)) z) (*.f64 y #s(literal -18 binary64))))) (neg.f64 z)) (*.f64 y #s(literal -18 binary64))) z)) (*.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z z))))
1
#s(literal 1 binary64)
(+ 1 z)
(+.f64 #s(literal 1 binary64) z)
(+ 1 (* z (+ 1 (* 1/2 z))))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1/2 binary64)))))
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z))))))
(+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))))))
(* 1/6 (pow z 3))
(*.f64 z (*.f64 (*.f64 z z) #s(literal 1/6 binary64)))
(* (pow z 3) (+ 1/6 (* 1/2 (/ 1 z))))
(*.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) z)))
(* (pow z 3) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2)))))
(*.f64 (*.f64 z (*.f64 z z)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) z))))
(* (pow z 3) (+ 1/6 (+ (* 1/2 (/ 1 z)) (+ (/ 1 (pow z 2)) (/ 1 (pow z 3))))))
(*.f64 (*.f64 z (*.f64 z z)) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) z)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (/.f64 #s(literal 1 binary64) (*.f64 z (*.f64 z z))))))
(* 1/6 (pow z 3))
(*.f64 z (*.f64 (*.f64 z z) #s(literal 1/6 binary64)))
(* (pow z 3) (+ 1/6 (* 1/2 (/ 1 z))))
(*.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) z)))
(* -1 (* (pow z 3) (- (* -1 (/ (+ 1/2 (/ 1 z)) z)) 1/6)))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 z)) #s(literal -1/6 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z z))))
(* -1 (* (pow z 3) (- (* -1 (/ (+ 1/2 (+ (/ 1 z) (/ 1 (pow z 2)))) z)) 1/6)))
(*.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) z)) #s(literal -1/6 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z z))))
z
(* z (+ 1 (* 1/2 z)))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z #s(literal 1/2 binary64))))
(* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))
(* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))
(*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))))
(* 1/6 (pow z 3))
(*.f64 z (*.f64 (*.f64 z z) #s(literal 1/6 binary64)))
(* (pow z 3) (+ 1/6 (* 1/2 (/ 1 z))))
(*.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) z)))
(* (pow z 3) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2)))))
(*.f64 (*.f64 z (*.f64 z z)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) z))))
(* (pow z 3) (+ 1/6 (+ (* 1/2 (/ 1 z)) (/ 1 (pow z 2)))))
(*.f64 (*.f64 z (*.f64 z z)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) z))))
(* 1/6 (pow z 3))
(*.f64 z (*.f64 (*.f64 z z) #s(literal 1/6 binary64)))
(* (pow z 3) (+ 1/6 (* 1/2 (/ 1 z))))
(*.f64 (*.f64 z (*.f64 z z)) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) z)))
(* -1 (* (pow z 3) (- (* -1 (/ (+ 1/2 (/ 1 z)) z)) 1/6)))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 z)) #s(literal -1/6 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z z))))
(* -1 (* (pow z 3) (- (* -1 (/ (+ 1/2 (/ 1 z)) z)) 1/6)))
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) z) #s(literal 1/2 binary64)) (neg.f64 z)) #s(literal -1/6 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 z (*.f64 z z))))
(/ 5641895835477563/5000000000000000 x)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
(/ 5641895835477563/5000000000000000 x)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
(/ 5641895835477563/5000000000000000 x)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
(/ 5641895835477563/5000000000000000 x)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
(/ 5641895835477563/5000000000000000 x)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
(/ 5641895835477563/5000000000000000 x)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
(/ 5641895835477563/5000000000000000 x)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
(/ 5641895835477563/5000000000000000 x)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
(/ 5641895835477563/5000000000000000 x)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
(/ 5641895835477563/5000000000000000 x)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
(/ 5641895835477563/5000000000000000 x)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
(/ 5641895835477563/5000000000000000 x)
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x)
(* 5641895835477563/10000000000000000 z)
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))
(* 5641895835477563/10000000000000000 z)
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))
(* 5641895835477563/10000000000000000 z)
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))
(* 5641895835477563/10000000000000000 z)
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))
(* 5641895835477563/10000000000000000 z)
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))
(* 5641895835477563/10000000000000000 z)
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))
(* 5641895835477563/10000000000000000 z)
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))
(* 5641895835477563/10000000000000000 z)
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))
(* 5641895835477563/10000000000000000 z)
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))
(* 5641895835477563/10000000000000000 z)
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))
(* 5641895835477563/10000000000000000 z)
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))
(* 5641895835477563/10000000000000000 z)
(*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))
(* 1/6 z)
(*.f64 z #s(literal 1/6 binary64))
(* 1/6 z)
(*.f64 z #s(literal 1/6 binary64))
(* 1/6 z)
(*.f64 z #s(literal 1/6 binary64))
(* 1/6 z)
(*.f64 z #s(literal 1/6 binary64))
(* 1/6 z)
(*.f64 z #s(literal 1/6 binary64))
(* 1/6 z)
(*.f64 z #s(literal 1/6 binary64))
(* 1/6 z)
(*.f64 z #s(literal 1/6 binary64))
(* 1/6 z)
(*.f64 z #s(literal 1/6 binary64))
(* 1/6 z)
(*.f64 z #s(literal 1/6 binary64))
(* 1/6 z)
(*.f64 z #s(literal 1/6 binary64))
(* 1/6 z)
(*.f64 z #s(literal 1/6 binary64))
(* 1/6 z)
(*.f64 z #s(literal 1/6 binary64))
(* 1/2 z)
(*.f64 z #s(literal 1/2 binary64))
(* z (+ 1/2 (* 1/6 z)))
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))
(* z (+ 1/2 (* 1/6 z)))
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))
(* z (+ 1/2 (* 1/6 z)))
(*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64))))
(* 1/6 (pow z 2))
(*.f64 (*.f64 z z) #s(literal 1/6 binary64))
(* (pow z 2) (+ 1/6 (* 1/2 (/ 1 z))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) z)))
(* (pow z 2) (+ 1/6 (* 1/2 (/ 1 z))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) z)))
(* (pow z 2) (+ 1/6 (* 1/2 (/ 1 z))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) z)))
(* 1/6 (pow z 2))
(*.f64 (*.f64 z z) #s(literal 1/6 binary64))
(* (pow z 2) (+ 1/6 (* 1/2 (/ 1 z))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) z)))
(* (pow z 2) (+ 1/6 (* 1/2 (/ 1 z))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) z)))
(* (pow z 2) (+ 1/6 (* 1/2 (/ 1 z))))
(*.f64 (*.f64 z z) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) z)))

eval137.0ms (1.5%)

Compiler

Compiled 18079 to 2551 computations (85.9% saved)

prune355.0ms (3.8%)

Pruning

18 alts after pruning (10 fresh and 8 done)

PrunedKeptTotal
New8552857
Fresh2810
Picked235
Done055
Total85918877
Accuracy
100.0%
Counts
877 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.0%
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))))))
✓16.9%
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))))
✓16.6%
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
16.9%
(/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 (+.f64 z #s(literal 1 binary64)) y))
17.2%
(/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 (exp.f64 z) y))
75.4%
(+.f64 (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))))))) x)
64.5%
(+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))) x)
81.7%
(+.f64 x (/.f64 (/.f64 y (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) x))
50.6%
(+.f64 x (/.f64 y (-.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z)) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) (neg.f64 z)) #s(literal -5641895835477563/30000000000000000 binary64)) (neg.f64 (*.f64 z (*.f64 z z)))) (*.f64 x y))))
✓82.3%
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
73.4%
(+.f64 x (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))))))
61.6%
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
67.0%
(+.f64 x (/.f64 #s(literal -1 binary64) x))
✓55.1%
(+.f64 x (*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)))))
✓16.8%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))))) y)
✓17.0%
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))))))))
✓16.6%
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
✓69.6%
x
Compiler

Compiled 638 to 311 computations (51.3% saved)

regimes87.0ms (0.9%)

Counts
32 → 2
Calls
Call 1
Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (+.f64 z #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64))))
(/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 (+.f64 z #s(literal 1 binary64)) y))
(+.f64 x (*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)))))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+.f64 x (*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)))))
(+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))))
(+.f64 x (/.f64 (/.f64 y (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) x))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))))) y)
(+.f64 x (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))))))
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))))))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))))))))
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))) (*.f64 x y))))
(+.f64 (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))))))) x)
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))) (*.f64 x y)))) y))
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))))) (*.f64 x y))))
(+.f64 (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(+.f64 x (/.f64 y (-.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z)) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) (neg.f64 z)) #s(literal -5641895835477563/30000000000000000 binary64)) (neg.f64 (*.f64 z (*.f64 z z)))) (*.f64 x y))))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 (exp.f64 z) y))
(+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))) x)
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
(+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))))
(+.f64 x (*.f64 y (+.f64 (/.f64 (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)) (exp.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)))))
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (exp.f64 (+.f64 z z))) (*.f64 x (*.f64 y (*.f64 x y))))) (*.f64 y (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))))
Outputs
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y))))
Calls

6 calls:

26.0ms
(exp.f64 z)
15.0ms
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
14.0ms
y
11.0ms
x
10.0ms
z
Results
AccuracySegmentsBranch
96.3%1x
96.3%1y
99.9%2z
98.5%2(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
99.9%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
99.9%2(exp.f64 z)
Compiler

Compiled 39 to 29 computations (25.6% saved)

regimes28.0ms (0.3%)

Counts
29 → 2
Calls
Call 1
Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (+.f64 z #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64))))
(/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 (+.f64 z #s(literal 1 binary64)) y))
(+.f64 x (*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)))))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+.f64 x (*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)))))
(+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))))
(+.f64 x (/.f64 (/.f64 y (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) x))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))))) y)
(+.f64 x (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))))))
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))))))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))))))))
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))) (*.f64 x y))))
(+.f64 (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))))))) x)
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))) (*.f64 x y)))) y))
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))))) (*.f64 x y))))
(+.f64 (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(+.f64 x (/.f64 y (-.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z)) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) (neg.f64 z)) #s(literal -5641895835477563/30000000000000000 binary64)) (neg.f64 (*.f64 z (*.f64 z z)))) (*.f64 x y))))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 (exp.f64 z) y))
(+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))) x)
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Outputs
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))))
Calls

3 calls:

9.0ms
z
8.0ms
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
7.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
99.1%2z
99.1%2(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))
99.1%2(exp.f64 z)
Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes46.0ms (0.5%)

Counts
28 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (+.f64 z #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64))))
(/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 (+.f64 z #s(literal 1 binary64)) y))
(+.f64 x (*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)))))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+.f64 x (*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)))))
(+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))))
(+.f64 x (/.f64 (/.f64 y (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) x))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))))) y)
(+.f64 x (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))))))
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))))))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))))))))
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))) (*.f64 x y))))
(+.f64 (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))))))) x)
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))) (*.f64 x y)))) y))
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))))) (*.f64 x y))))
(+.f64 (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(+.f64 x (/.f64 y (-.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z)) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) (neg.f64 z)) #s(literal -5641895835477563/30000000000000000 binary64)) (neg.f64 (*.f64 z (*.f64 z z)))) (*.f64 x y))))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 (exp.f64 z) y))
(+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))) x)
Outputs
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))))) (*.f64 x y))))
(+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))) x)
Calls

2 calls:

37.0ms
z
7.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
99.8%3z
99.8%3(exp.f64 z)
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes28.0ms (0.3%)

Counts
27 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (+.f64 z #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64))))
(/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 (+.f64 z #s(literal 1 binary64)) y))
(+.f64 x (*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)))))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+.f64 x (*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)))))
(+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))))
(+.f64 x (/.f64 (/.f64 y (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) x))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))))) y)
(+.f64 x (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))))))
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))))))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))))))))
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))) (*.f64 x y))))
(+.f64 (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))))))) x)
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))) (*.f64 x y)))) y))
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))))) (*.f64 x y))))
(+.f64 (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (/.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 y z)) (*.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))
(+.f64 x (/.f64 y (-.f64 (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z z)) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) (neg.f64 z)) #s(literal -5641895835477563/30000000000000000 binary64)) (neg.f64 (*.f64 z (*.f64 z z)))) (*.f64 x y))))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z)))
(/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 (exp.f64 z) y))
Outputs
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))))) (*.f64 x y))))
x
Calls

2 calls:

19.0ms
z
7.0ms
(exp.f64 z)
Results
AccuracySegmentsBranch
99.8%3z
99.8%3(exp.f64 z)
Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes9.0ms (0.1%)

Counts
22 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (+.f64 z #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64))))
(/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 (+.f64 z #s(literal 1 binary64)) y))
(+.f64 x (*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)))))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+.f64 x (*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)))))
(+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))))
(+.f64 x (/.f64 (/.f64 y (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) x))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))))) y)
(+.f64 x (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))))))
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))))))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))))))))
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))) (*.f64 x y))))
(+.f64 (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64)))))))) x)
(+.f64 x (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))) (*.f64 x y)))) y))
Outputs
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))) (*.f64 x y))))
x
Calls

1 calls:

7.0ms
z
Results
AccuracySegmentsBranch
99.7%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Counts
19 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (+.f64 z #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64))))
(/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 (+.f64 z #s(literal 1 binary64)) y))
(+.f64 x (*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)))))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+.f64 x (*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)))))
(+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))))
(+.f64 x (/.f64 (/.f64 y (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) x))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))))) y)
(+.f64 x (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))))))
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))))))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1 binary64) (*.f64 z (+.f64 #s(literal 1/2 binary64) (*.f64 z #s(literal 1/6 binary64)))))))))
Outputs
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))
x
Calls

1 calls:

7.0ms
z
Results
AccuracySegmentsBranch
99.6%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes18.0ms (0.2%)

Counts
16 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (+.f64 z #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64))))
(/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 (+.f64 z #s(literal 1 binary64)) y))
(+.f64 x (*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)))))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
(+.f64 x (*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 #s(literal 25000000000000000000000000000000/31830988618379068626528276418969 binary64) (*.f64 y x)))))
(+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y))))
(+.f64 x (/.f64 (/.f64 y (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) y)) x))
(/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))))) y)
(+.f64 x (/.f64 y (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64)))))))
Outputs
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))
x
Calls

3 calls:

6.0ms
x
5.0ms
y
5.0ms
z
Results
AccuracySegmentsBranch
86.3%3y
87.2%4x
99.3%3z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Counts
9 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (+.f64 z #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64))))
(/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 (+.f64 z #s(literal 1 binary64)) y))
(+.f64 x (*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)))))
Outputs
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64)))))
x
Calls

1 calls:

3.0ms
z
Results
AccuracySegmentsBranch
88.2%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes6.0ms (0.1%)

Counts
8 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (+.f64 z #s(literal 1 binary64))))
(*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64))))
(/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 (+.f64 z #s(literal 1 binary64)) y))
Outputs
(+.f64 x (/.f64 #s(literal -1 binary64) x))
(+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64)))
x
Calls

1 calls:

5.0ms
z
Results
AccuracySegmentsBranch
88.0%3z
Compiler

Compiled 4 to 3 computations (25% saved)

regimes7.0ms (0.1%)

Counts
4 → 2
Calls
Call 1
Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
(+.f64 x (/.f64 #s(literal -1 binary64) x))
Outputs
(+.f64 x (/.f64 #s(literal -1 binary64) x))
x
Calls

3 calls:

2.0ms
x
2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
77.6%4x
76.6%3y
80.4%2z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes7.0ms (0.1%)

Counts
3 → 3
Calls
Call 1
Inputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
(/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))
Outputs
x
(*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y)
x
Calls

3 calls:

3.0ms
x
2.0ms
y
2.0ms
z
Results
AccuracySegmentsBranch
75.6%3x
69.6%1y
69.6%1z
Compiler

Compiled 12 to 9 computations (25% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
69.6%1x
Compiler

Compiled 4 to 3 computations (25% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.665856283895348
Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
0.665856283895348
Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0
1.000000000001786
0.0ms
0.0
0.665856283895348
Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch0.0ms (0%)

Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
1.0006366322284899
+inf
0.0ms
0.0
0.665856283895348
Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch45.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
0.0006364296641607254
1972487.6144006983
21.0ms
-868793.8898637552
-0.4066814216746734
Results
31.0ms288×0valid
Compiler

Compiled 525 to 366 computations (30.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
...c/correct-round.rkt:119:19: 8.0ms (37.1% of total)
ival-mult: 4.0ms (18.6% of total)
ival-exp: 3.0ms (13.9% of total)
ival-div: 2.0ms (9.3% of total)
ival-sub: 1.0ms (4.6% of total)
ival-add: 1.0ms (4.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch44.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
20.0ms
0.0006364296641607254
1972487.6144006983
22.0ms
-868793.8898637552
-0.4066814216746734
Results
28.0ms288×0valid
Compiler

Compiled 453 to 312 computations (31.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
...c/correct-round.rkt:119:19: 6.0ms (32% of total)
ival-mult: 4.0ms (21.3% of total)
ival-exp: 3.0ms (16% of total)
ival-div: 2.0ms (10.7% of total)
ival-sub: 1.0ms (5.3% of total)
ival-add: 1.0ms (5.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch48.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
21.0ms
0.0006364296641607254
1972487.6144006983
24.0ms
-868793.8898637552
-0.4066814216746734
Results
34.0ms288×0valid
Compiler

Compiled 381 to 276 computations (27.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
...c/correct-round.rkt:119:19: 5.0ms (28.6% of total)
ival-mult: 4.0ms (22.9% of total)
ival-exp: 3.0ms (17.2% of total)
ival-div: 2.0ms (11.4% of total)
ival-sub: 1.0ms (5.7% of total)
ival-add: 1.0ms (5.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch47.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
24.0ms
0.0006364296641607254
1972487.6144006983
20.0ms
-6.039513166548959e-9
-2.6265420533598396e-14
Results
34.0ms288×0valid
Compiler

Compiled 381 to 294 computations (22.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 9.0ms (39.4% of total)
...c/correct-round.rkt:119:19: 6.0ms (26.2% of total)
ival-exp: 3.0ms (13.1% of total)
ival-div: 2.0ms (8.7% of total)
ival-sub: 1.0ms (4.4% of total)
ival-add: 1.0ms (4.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch50.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
27.0ms
0.0006364296641607254
1972487.6144006983
20.0ms
-6.039513166548959e-9
-2.6265420533598396e-14
Results
34.0ms288×0valid
Compiler

Compiled 309 to 240 computations (22.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
...c/correct-round.rkt:119:19: 11.0ms (47% of total)
ival-mult: 4.0ms (17.1% of total)
ival-exp: 3.0ms (12.8% of total)
ival-div: 2.0ms (8.5% of total)
ival-sub: 1.0ms (4.3% of total)
ival-add: 1.0ms (4.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch23.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
22.0ms
-868793.8898637552
-0.4066814216746734
Results
15.0ms144×0valid
Compiler

Compiled 147 to 114 computations (22.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 4.0ms (39.3% of total)
ival-exp: 2.0ms (19.7% of total)
...c/correct-round.rkt:119:19: 2.0ms (19.7% of total)
ival-sub: 1.0ms (9.8% of total)
ival-div: 1.0ms (9.8% of total)
ival-add: 1.0ms (9.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch31.0ms (0.3%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
13.0ms
1.3255568197486983e-303
2.839991574147112e-303
16.0ms
-8.108997689984605e-116
-3.535646210566644e-117
Results
19.0ms192×0valid
Compiler

Compiled 165 to 135 computations (18.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 3.0ms (27.5% of total)
...c/correct-round.rkt:119:19: 3.0ms (27.5% of total)
ival-sub: 1.0ms (9.2% of total)
ival-div: 1.0ms (9.2% of total)
ival-exp: 1.0ms (9.2% of total)
ival-add: 1.0ms (9.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify17.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
52×+-commutative_binary64
32×*-commutative_binary64
20×cancel-sign-sub-inv_binary64
18×sub-neg_binary64
6×neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109274
1162274
2181274
3187274
4190274
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y)))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 1 binary64)) (+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))))) (*.f64 x y)))) (+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))) x)))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))))) (*.f64 x y)))) x))
(if (<=.f64 z #s(literal -280 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 z #s(literal 160 binary64)) (+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/10000000000000000 binary64))))) (*.f64 x y)))) x))
(if (<=.f64 z #s(literal -190 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 z #s(literal 82 binary64)) (+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) x))
(if (<=.f64 z #s(literal -145 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 z #s(literal 122 binary64)) (+.f64 x (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) x))
(if (<=.f64 z #s(literal -7118155225890937/618970019642690137449562112 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 z #s(literal 662929865148937/576460752303423488 binary64)) (+.f64 x (*.f64 y (+.f64 #s(literal 5000000000000000/5641895835477563 binary64) (*.f64 z #s(literal -5000000000000000/5641895835477563 binary64))))) x))
(if (<=.f64 z #s(literal -6684876212141053/2475880078570760549798248448 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 z #s(literal 48999163945791/72057594037927936 binary64)) (+.f64 x (/.f64 y #s(literal 5641895835477563/5000000000000000 binary64))) x))
(if (<=.f64 z #s(literal -43 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) x)
(if (<=.f64 x #s(literal -7665877170305229/1419606883389857208104148062281258856159455782592418086487285545274686109596480318996466895925319463985864300012238628776434768805888 binary64)) x (if (<=.f64 x #s(literal 1080944651146831/386051661123868214325895970762095083331216144111904370034983364157543830047598546775742309000849007597326427200921653578548066591998660043462778854257084865420374725869305346230443778499781067545394454342790117394565596548890481374012190543459242928201313126587598361115137891035519604744312911050121319319358268243968 binary64)) (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) y) x))
x
Outputs
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (+.f64 x (/.f64 y (*.f64 x (-.f64 (/.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) x) y)))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (+.f64 x (/.f64 y (-.f64 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))))
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x (/.f64 #s(literal -1 binary64) x)) (if (<=.f64 (exp.f64 z) #s(literal 1 binary64)) (+.f64 x (/.f64 y (-.f64 (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 z (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (*.f64 z #s(literal 5641895835477563/30000000000000000 binary64))))))) (*.f64 x y)))) (+.f64 (*.f64 #s(literal 5000000000000000/5641895835477563 binary64) (/.f64 y (exp.f64 z))) x)))
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x

soundness1.2s (12.5%)

Rules
5554×*-lowering-*.f32
5554×*-lowering-*.f64
4368×+-lowering-+.f64
4368×+-lowering-+.f32
4050×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
011848521
139648254
086308254
03031821
19521782
230001681
085561681
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 597 to 326 computations (45.4% saved)

preprocess120.0ms (1.3%)

Compiler

Compiled 614 to 256 computations (58.3% saved)

end0.0ms (0%)

Profiling

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